#SYMOP
This file contains all the
symmetry operators and is
part of the CCP4 distribution.
-------------------------------
/1 1 1 P1 PG1 TRICLINIC
X,Y,Z
/2 2 2 P-1 PG1bar TRICLINIC
X,Y,Z
-X,-Y,-Z
/3 2 2 P2 PG2 MONOCLINIC
X,Y,Z
-X,Y,-Z
/4 2 2 P21 PG2 MONOCLINIC
X,Y,Z
-X,Y+1/2,-Z
/5 4 2 C2 PG2 MONOCLINIC
X,Y,Z
-X,Y,-Z
1/2+X,1/2+Y,Z
1/2-X,1/2+Y,-Z
/6 2 2 Pm PGm MONOCLINIC
X,Y,Z
X,-Y,Z
/7 2 2 Pc PGm MONOCLINIC
X,Y,Z
X,-Y,1/2+Z
/8 4 2 Cm PGm MONOCLINIC
X,Y,Z
X,-Y,Z
1/2+X,1/2+Y,Z
1/2+X,1/2-Y,Z
/9 4 2 Cc PGm MONOCLINIC
X,Y,Z
X,-Y,1/2+Z
1/2+X,1/2+Y,Z
1/2+X,1/2-Y,1/2+Z
/10 4 4 P2/m PG2/m MONOCLINIC
X,Y,Z
X,-Y,Z
-X,Y,-Z
-X,-Y,-Z
/11 4 4 P21/m PG2/m MONOCLINIC
X,Y,Z
-X,1/2+Y,-Z
-X,-Y,-Z
X,1/2-Y,Z
/12 8 4 C2/m PG2/m MONOCLINIC
X,Y,Z
X,-Y,Z
-X,Y,-Z
-X,-Y,-Z
1/2+X,1/2+Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2-X,1/2-Y,-Z
/13 4 4 P2/c PG2/m MONOCLINIC
X,Y,Z
-X,Y,1/2-Z
-X,-Y,-Z
X,-Y,1/2+Z
/14 4 4 P21/c PG2/m MONOCLINIC
X,Y,Z
-X,-Y,-Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
/15 8 4 C2/c PG2/m MONOCLINIC
X,Y,Z
-X,Y,1/2-Z
-X,-Y,-Z
X,-Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2+Y,1/2-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2-Y,1/2+Z
/16 4 4 P222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
/17 4 4 P2221 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,-Z
/18 4 4 P21212 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
/19 4 4 P212121 PG222 ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
/20 8 4 C2221 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,-Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
/21 8 4 C222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
/22 16 4 F222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
/23 8 4 I222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,-Z
-X,Y,-Z
X+1/2,Y+1/2,Z+1/2
-X+1/2,-Y+1/2,Z+1/2
X+1/2,-Y+1/2,-Z+1/2
-X+1/2,Y+1/2,-Z+1/2
/24 8 4 I212121 PG222 ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
/25 4 4 Pmm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
/26 4 4 Pmc21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,Z
/27 4 4 Pcc2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/28 4 4 Pma2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,-Y,Z
1/2-X,Y,Z
/29 4 4 Pca21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
1/2+X,-Y,Z
1/2-X,Y,1/2+Z
/30 4 4 Pnc2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/31 4 4 Pmn21 PGmm2 ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
1/2+X,-Y,1/2+Z
-X,Y,Z
/32 4 4 Pba2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/33 4 4 Pna21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,1/2+Z
/34 4 4 Pnn2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/35 8 4 Cmm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/36 8 4 Cmc21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
/37 8 4 Ccc2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/38 8 4 Amm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/39 8 4 Abm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,1/2-Y,Z
-X,1/2+Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/40 8 4 Ama2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,-Y,Z
1/2-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/41 8 4 Aba2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
/42 16 4 Fmm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/43 16 4 Fdd2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/4+X,1/4-Y,1/4+Z
1/4-X,1/4+Y,1/4+Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
1/4+X,3/4-Y,3/4+Z
1/4-X,3/4+Y,3/4+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
3/4+X,1/4-Y,3/4+Z
3/4-X,1/4+Y,3/4+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
3/4+X,3/4-Y,1/4+Z
3/4-X,3/4+Y,1/4+Z
/44 8 4 Imm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/45 8 4 Iba2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/46 8 4 Ima2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,-Y,Z
1/2-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/47 8 8 Pmmm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
/48 8 8 Pnnn PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/49 8 8 Pccm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/50 8 8 Pban PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/51 8 8 Pmma PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,Z
-X,Y,-Z
1/2+X,-Y,-Z
-X,-Y,-Z
1/2+X,Y,-Z
X,-Y,Z
1/2-X,Y,Z
/52 8 8 Pnna PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,Z
1/2-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
-X,-Y,-Z
1/2+X,Y,-Z
1/2+X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/53 8 8 Pmna PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
X,-Y,-Z
-X,-Y,-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
-X,Y,Z
/54 8 8 Pcca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,Z
-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
-X,-Y,-Z
1/2+X,Y,-Z
X,-Y,1/2+Z
1/2-X,Y,1/2+Z
/55 8 8 Pbam PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
X,Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/56 8 8 Pccn PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,1/2-Y,Z
-X,1/2+Y,1/2-Z
1/2+X,-Y,1/2-Z
-X,-Y,-Z
1/2+X,1/2+Y,-Z
X,1/2-Y,1/2+Z
1/2-X,Y,1/2+Z
/57 8 8 Pbcm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,-Z
-X,-Y,-Z
X,Y,1/2-Z
X,1/2-Y,1/2+Z
-X,1/2+Y,Z
/58 8 8 Pnnm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
-X,-Y,-Z
X,Y,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/59 8 8 Pmmn PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,Y+1/2,-Z
X+1/2,1/2-Y,-Z
1/2-X,1/2-Y,-Z
X+1/2,Y+1/2,-Z
X,-Y,Z
-X,Y,Z
/60 8 8 Pbcn PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-X,Y,1/2-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
1/2+X,1/2+Y,1/2-Z
X,-Y,1/2+Z
1/2-X,1/2+Y,Z
/61 8 8 Pbca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
/62 8 8 Pnma PGmmm ORTHORHOMBIC
X,Y,Z
-X+1/2,-Y,Z+1/2
-X,Y+1/2,-Z
X+1/2,-Y+1/2,-Z+1/2
-X,-Y,-Z
X+1/2,Y,-Z+1/2
X,-Y+1/2,Z
-X+1/2,Y+1/2,Z+1/2
/63 16 8 Cmcm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,1/2-Z
X,-Y,1/2+Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
/64 16 8 Cmca PGmmm ORTHORHOMBIC
X,Y,Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,-Y,-Z
-X,-Y,-Z
X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,1/2+Y,Z
/65 16 8 Cmmm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/66 16 8 Cccm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/67 16 8 Cmma PGmmm ORTHORHOMBIC
X,Y,Z
-X,1/2-Y,Z
-X,1/2+Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,1/2+Y,-Z
X,1/2-Y,Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,-Y,Z
1/2-X,Y,-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,Y,-Z
1/2+X,-Y,Z
1/2-X,1/2+Y,Z
/68 16 8 Ccca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,1/2-Y,Z
-X,Y,-Z
1/2+X,1/2-Y,-Z
-X,1/2-Y,1/2-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2+X,1/2+Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
X,-Y,-Z
1/2-X,-Y,1/2-Z
X,1/2+Y,1/2-Z
1/2+X,-Y,1/2+Z
-X,1/2+Y,1/2+Z
/69 32 8 Fmmm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
-X,1/2-Y,1/2-Z
X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2-X,-Y,1/2-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/70 32 8 Fddd PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/4-X,1/4-Y,1/4-Z
1/4+X,1/4+Y,1/4-Z
1/4+X,1/4-Y,1/4+Z
1/4-X,1/4+Y,1/4+Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
1/4-X,3/4-Y,3/4-Z
1/4+X,3/4+Y,3/4-Z
1/4+X,3/4-Y,3/4+Z
1/4-X,3/4+Y,3/4+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
3/4-X,1/4-Y,3/4-Z
3/4+X,1/4+Y,3/4-Z
3/4+X,1/4-Y,3/4+Z
3/4-X,1/4+Y,3/4+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
3/4-X,3/4-Y,1/4-Z
3/4+X,3/4+Y,1/4-Z
3/4+X,3/4-Y,1/4+Z
3/4-X,3/4+Y,1/4+Z
/71 16 8 Immm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/72 16 8 Ibam PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
X,Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/73 16 8 Ibca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
X,1/2+Y,-Z
1/2+X,-Y,Z
-X,Y,1/2+Z
/74 16 8 Imma PGmmm ORTHORHOMBIC
X,Y,Z
-X,1/2-Y,Z
-X,1/2+Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,1/2+Y,-Z
X,1/2-Y,Z
-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/75 4 4 P4 PG4 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
/76 4 4 P41 PG4 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,1/4+Z
Y,-X,3/4+Z
/77 4 4 P42 PG4 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
/78 4 4 P43 PG4 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,3/4+Z
Y,-X,1/4+Z
/79 8 4 I4 PG4 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
/80 8 4 I41 PG4 TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
/81 4 4 P-4 PG4bar TETRAGONAL
X,Y,Z
-X,-Y,Z
Y,-X,-Z
-Y,X,-Z
/82 8 4 I-4 PG4bar TETRAGONAL
X,Y,Z
-X,-Y,Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
/83 8 8 P4/m PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
/84 8 8 P42/m PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
/85 8 8 P4/n PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
Y,-X,-Z
-Y,X,-Z
/86 8 8 P42/n PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
/87 16 8 I4/m PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
/88 16 8 I41/a PG4/m TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
-X,1/2-Y,1/4-Z
1/2+X,Y,3/4-Z
Y,-X,-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
1/2-X,-Y,3/4-Z
X,1/2+Y,1/4-Z
1/2+Y,1/2-X,1/2-Z
-Y,X,-Z
/89 8 8 P422 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
/90 8 8 P4212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
Y,X,-Z
-Y,-X,-Z
/91 8 8 P4122 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,1/4+Z
Y,-X,3/4+Z
-X,Y,-Z
X,-Y,1/2-Z
Y,X,3/4-Z
-Y,-X,1/4-Z
/92 8 8 P41212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
1/2-Y,1/2+X,1/4+Z
1/2+Y,1/2-X,3/4+Z
1/2-X,1/2+Y,1/4-Z
1/2+X,1/2-Y,3/4-Z
Y,X,-Z
-Y,-X,1/2-Z
/93 8 8 P4222 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,Y,-Z
X,-Y,-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
/94 8 8 P42212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
/95 8 8 P4322 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,3/4+Z
Y,-X,1/4+Z
-X,Y,-Z
X,-Y,1/2-Z
Y,X,1/4-Z
-Y,-X,3/4-Z
/96 8 8 P43212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
1/2-Y,1/2+X,3/4+Z
1/2+Y,1/2-X,1/4+Z
1/2-X,1/2+Y,3/4-Z
1/2+X,1/2-Y,1/4-Z
Y,X,-Z
-Y,-X,1/2-Z
/97 16 8 I422 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
/98 16 8 I4122 PG422 TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2-X,Y,3/4-Z
X,1/2-Y,1/4-Z
1/2+Y,1/2+X,1/2-Z
-Y,-X,-Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
-X,1/2+Y,1/4-Z
1/2+X,-Y,3/4-Z
Y,X,-Z
1/2-Y,1/2-X,1/2-Z
/99 8 8 P4mm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
/100 8 8 P4bm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/101 8 8 P42cm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,Z
Y,X,Z
/102 8 8 P42nm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
-Y,-X,Z
Y,X,Z
/103 8 8 P4cc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/104 8 8 P4nc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/105 8 8 P42mc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
X,-Y,Z
-X,Y,Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/106 8 8 P42bc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/107 16 8 I4mm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/108 16 8 I4cm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/109 16 8 I41md PG4mm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
X,-Y,Z
1/2-X,1/2+Y,1/2+Z
-Y,1/2-X,1/4+Z
1/2+Y,X,3/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
1/2+X,1/2-Y,1/2+Z
-X,Y,Z
1/2-Y,-X,3/4+Z
Y,1/2+X,1/4+Z
/110 16 8 I41cd PG4mm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
X,-Y,1/2+Z
1/2-X,1/2+Y,Z
-Y,1/2-X,3/4+Z
1/2+Y,X,1/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
1/2+X,1/2-Y,Z
-X,Y,1/2+Z
1/2-Y,-X,1/4+Z
Y,1/2+X,3/4+Z
/111 8 8 P-42m PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
-X,Y,-Z
X,-Y,-Z
-Y,-X,Z
Y,X,Z
/112 8 8 P-42c PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
-X,Y,1/2-Z
X,-Y,1/2-Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/113 8 8 P-421m PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/114 8 8 P-421c PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/115 8 8 P-4m2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
Y,X,-Z
-Y,-X,-Z
/116 8 8 P-4c2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
Y,X,1/2-Z
-Y,-X,1/2-Z
/117 8 8 P-4b2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
/118 8 8 P-4n2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
/119 16 8 I-4m2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
X,-Y,Z
-X,Y,Z
Y,X,-Z
-Y,-X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
/120 16 8 I-4c2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
Y,X,1/2-Z
-Y,-X,1/2-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
/121 16 8 I-42m PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
-X,Y,-Z
X,-Y,-Z
-Y,-X,Z
Y,X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/122 16 8 I-42d PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2-X,Y,3/4-Z
1/2+X,-Y,3/4-Z
1/2-Y,-X,3/4+Z
1/2+Y,X,3/4+Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
-X,1/2+Y,1/4-Z
X,1/2-Y,1/4-Z
-Y,1/2-X,1/4+Z
Y,1/2+X,1/4+Z
/123 16 16 P4/mmm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
/124 16 16 P4/mcc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/125 16 16 P4/nbm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+Y,1/2-X,-Z
1/2-Y,1/2+X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/126 16 16 P4/nnc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/127 16 16 P4/mbm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/128 16 16 P4/mnc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/129 16 16 P4/nmm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/130 16 16 P4/ncc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/131 16 16 P42/mmc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,Y,-Z
X,-Y,-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
X,-Y,Z
-X,Y,Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/132 16 16 P42/mcm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,Y,1/2-Z
X,-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,Z
Y,X,Z
/133 16 16 P42/nbc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
-X,Y,1/2-Z
X,-Y,1/2-Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/134 16 16 P42/nnm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
-X,Y,-Z
X,-Y,-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
-Y,-X,Z
Y,X,Z
/135 16 16 P42/mbc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/136 16 16 P42/mnm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,X+1/2,Z+1/2
Y+1/2,1/2-X,Z+1/2
1/2-X,Y+1/2,1/2-Z
X+1/2,1/2-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y+1/2,1/2-X,1/2-Z
1/2-Y,X+1/2,1/2-Z
X+1/2,1/2-Y,Z+1/2
1/2-X,Y+1/2,Z+1/2
-Y,-X,Z
Y,X,Z
/137 16 16 P42/nmc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/138 16 16 P42/ncm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/139 32 16 I4/mmm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/140 32 16 I4/mcm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/141 32 16 I41/amd PG4/mmm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2-X,Y,3/4-Z
X,1/2-Y,1/4-Z
1/2+Y,1/2+X,1/2-Z
-Y,-X,-Z
-X,1/2-Y,1/4-Z
1/2+X,Y,3/4-Z
Y,-X,-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,1/2+Z
-X,Y,Z
1/2-Y,-X,3/4+Z
Y,1/2+X,1/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
-X,1/2+Y,1/4-Z
1/2+X,-Y,3/4-Z
Y,X,-Z
1/2-Y,1/2-X,1/2-Z
1/2-X,-Y,3/4-Z
X,1/2+Y,1/4-Z
1/2+Y,1/2-X,1/2-Z
-Y,X,-Z
X,-Y,Z
1/2-X,1/2+Y,1/2+Z
-Y,1/2-X,1/4+Z
1/2+Y,X,3/4+Z
/142 32 16 I41/acd PG4/mmm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2-X,Y,1/4-Z
X,1/2-Y,3/4-Z
1/2+Y,1/2+X,-Z
-Y,-X,1/2-Z
-X,1/2-Y,1/4-Z
1/2+X,Y,3/4-Z
Y,-X,-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,Z
-X,Y,1/2+Z
1/2-Y,-X,1/4+Z
Y,1/2+X,3/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
-X,1/2+Y,3/4-Z
1/2+X,-Y,1/4-Z
Y,X,1/2-Z
1/2-Y,1/2-X,-Z
1/2-X,-Y,3/4-Z
X,1/2+Y,1/4-Z
1/2+Y,1/2-X,1/2-Z
-Y,X,-Z
X,-Y,1/2+Z
1/2-X,1/2+Y,Z
-Y,1/2-X,3/4+Z
1/2+Y,X,1/4+Z
/143 3 3 P3 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
/144 3 3 P31 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z+1/3
Y-X,-X,Z+2/3
/145 3 3 P32 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z+2/3
Y-X,-X,Z+1/3
/146 9 3 R3 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X+2/3,Y+1/3,Z+1/3
-Y+2/3,X-Y+1/3,Z+1/3
Y-X+2/3,-X+1/3,Z+1/3
X+1/3,Y+2/3,Z+2/3
-Y+1/3,X-Y+2/3,Z+2/3
Y-X+1/3,-X+2/3,Z+2/3
/147 6 6 P-3 PG3bar TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
/148 18 6 R-3 PG3bar TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3-X,1/3-Y,1/3-Z
2/3+Y,1/3+Y-X,1/3-Z
2/3+X-Y,1/3+X,1/3-Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3-X,2/3-Y,2/3-Z
1/3+Y,2/3+Y-X,2/3-Z
1/3+X-Y,2/3+X,2/3-Z
/149 6 6 P312 PG312 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/150 6 6 P321 PG321 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
/151 6 6 P3112 PG312 TRIGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-Y,-X,2/3-Z
Y-X,Y,1/3-Z
X,X-Y,-Z
/152 6 6 P3121 PG321 TRIGONAL
X,Y,Z
-Y,X-Y,Z+1/3
Y-X,-X,Z+2/3
Y,X,-Z
X-Y,-Y,2/3-Z
-X,Y-X,1/3-Z
/153 6 6 P3212 PG312 TRIGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-Y,-X,1/3-Z
Y-X,Y,2/3-Z
X,X-Y,-Z
/154 6 6 P3221 PG321 TRIGONAL
X,Y,Z
-Y,X-Y,Z+2/3
Y-X,-X,Z+1/3
Y,X,-Z
X-Y,-Y,1/3-Z
-X,Y-X,2/3-Z
/155 18 6 R32 PG32 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3+Y,1/3+X,1/3-Z
2/3+X-Y,1/3-Y,1/3-Z
2/3-X,1/3+Y-X,1/3-Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3+Y,2/3+X,2/3-Z
1/3+X-Y,2/3-Y,2/3-Z
1/3-X,2/3+Y-X,2/3-Z
/156 6 6 P3m1 PG3m1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
/157 6 6 P31m PG31m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/158 6 6 P3c1 PG3m1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
/159 6 6 P31c PG31m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/160 18 6 R3m PG3m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3-Y,1/3-X,1/3+Z
2/3+Y-X,1/3+Y,1/3+Z
2/3+X,1/3+X-Y,1/3+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3-Y,2/3-X,2/3+Z
1/3+Y-X,2/3+Y,2/3+Z
1/3+X,2/3+X-Y,2/3+Z
/161 18 6 R3c PG3m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3-Y,1/3-X,5/6+Z
2/3+Y-X,1/3+Y,5/6+Z
2/3+X,1/3+X-Y,5/6+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3-Y,2/3-X,1/6+Z
1/3+Y-X,2/3+Y,1/6+Z
1/3+X,2/3+X-Y,1/6+Z
/162 12 12 P-31m PG3bar1m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/163 12 12 P-31c PG3bar1m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/164 12 12 P-3m1 PG3barm1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
/165 12 12 P-3c1 PG3barm1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
/166 36 12 R-3m PG3barm TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3+Y,1/3+X,1/3-Z
2/3+X-Y,1/3-Y,1/3-Z
2/3-X,1/3+Y-X,1/3-Z
2/3-X,1/3-Y,1/3-Z
2/3+Y,1/3+Y-X,1/3-Z
2/3+X-Y,1/3+X,1/3-Z
2/3-Y,1/3-X,1/3+Z
2/3+Y-X,1/3+Y,1/3+Z
2/3+X,1/3+X-Y,1/3+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3+Y,2/3+X,2/3-Z
1/3+X-Y,2/3-Y,2/3-Z
1/3-X,2/3+Y-X,2/3-Z
1/3-X,2/3-Y,2/3-Z
1/3+Y,2/3+Y-X,2/3-Z
1/3+X-Y,2/3+X,2/3-Z
1/3-Y,2/3-X,2/3+Z
1/3+Y-X,2/3+Y,2/3+Z
1/3+X,2/3+X-Y,2/3+Z
/167 36 12 R-3c PG3barm TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3+Y,1/3+X,5/6-Z
2/3+X-Y,1/3-Y,5/6-Z
2/3-X,1/3+Y-X,5/6-Z
2/3-X,1/3-Y,1/3-Z
2/3+Y,1/3+Y-X,1/3-Z
2/3+X-Y,1/3+X,1/3-Z
2/3-Y,1/3-X,5/6+Z
2/3+Y-X,1/3+Y,5/6+Z
2/3+X,1/3+X-Y,5/6+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3+Y,2/3+X,1/6-Z
1/3+X-Y,2/3-Y,1/6-Z
1/3-X,2/3+Y-X,1/6-Z
1/3-X,2/3-Y,2/3-Z
1/3+Y,2/3+Y-X,2/3-Z
1/3+X-Y,2/3+X,2/3-Z
1/3-Y,2/3-X,1/6+Z
1/3+Y-X,2/3+Y,1/6+Z
1/3+X,2/3+X-Y,1/6+Z
/168 6 6 P6 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
/169 6 6 P61 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z+1/3
Y-X,-X,Z+2/3
-X,-Y,Z+1/2
Y,Y-X,Z+5/6
X-Y,X,Z+1/6
/170 6 6 P65 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z+2/3
Y-X,-X,Z+1/3
-X,-Y,Z+1/2
Y,Y-X,Z+1/6
X-Y,X,Z+5/6
/171 6 6 P62 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-X,-Y,Z
Y,Y-X,2/3+Z
X-Y,X,1/3+Z
/172 6 6 P64 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-X,-Y,Z
Y,Y-X,1/3+Z
X-Y,X,2/3+Z
/173 6 6 P63 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
/174 6 6 P-6 PG6bar HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
/175 12 12 P6/m PG6/m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
/176 12 12 P63/m PG6/m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,1/2-Z
-Y,X-Y,1/2-Z
Y-X,-X,1/2-Z
/177 12 12 P622 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/178 12 12 P6122 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-X,-Y,1/2+Z
Y,Y-X,5/6+Z
X-Y,X,1/6+Z
Y,X,1/3-Z
X-Y,-Y,-Z
-X,Y-X,2/3-Z
-Y,-X,5/6-Z
Y-X,Y,1/2-Z
X,X-Y,1/6-Z
/179 12 12 P6522 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-X,-Y,1/2+Z
Y,Y-X,1/6+Z
X-Y,X,5/6+Z
Y,X,2/3-Z
X-Y,-Y,-Z
-X,Y-X,1/3-Z
-Y,-X,1/6-Z
Y-X,Y,1/2-Z
X,X-Y,5/6-Z
/180 12 12 P6222 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-X,-Y,Z
Y,Y-X,2/3+Z
X-Y,X,1/3+Z
Y,X,2/3-Z
X-Y,-Y,-Z
-X,Y-X,1/3-Z
-Y,-X,2/3-Z
Y-X,Y,-Z
X,X-Y,1/3-Z
/181 12 12 P6422 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-X,-Y,Z
Y,Y-X,1/3+Z
X-Y,X,2/3+Z
Y,X,1/3-Z
X-Y,-Y,-Z
-X,Y-X,2/3-Z
-Y,-X,1/3-Z
Y-X,Y,-Z
X,X-Y,2/3-Z
/182 12 12 P6322 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
/183 12 12 P6mm PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/184 12 12 P6cc PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/185 12 12 P63cm PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/186 12 12 P63mc PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/187 12 12 P-6m2 PG6barm2 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/188 12 12 P-6c2 PG6barm2 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,1/2-Z
-Y,X-Y,1/2-Z
Y-X,-X,1/2-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/189 12 12 P-62m PG6bar2m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/190 12 12 P-62c PG6bar2m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,1/2-Z
-Y,X-Y,1/2-Z
Y-X,-X,1/2-Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/191 24 24 P6/mmm PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,-Z
Y-X,-X,-Z
-Y,X-Y,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/192 24 24 P6/mcc PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,-Z
Y-X,-X,-Z
-Y,X-Y,-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/193 24 24 P63/mcm PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,1/2-Z
Y-X,-X,1/2-Z
-Y,X-Y,1/2-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/194 24 24 P63/mmc PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,1/2-Z
Y-X,-X,1/2-Z
-Y,X-Y,1/2-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/195 12 12 P23 PG23 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
/196 48 12 F23 PG23 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
Z,1/2+X,1/2+Y
Z,1/2-X,1/2-Y
-Z,1/2-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,1/2+Z,1/2+X
-Y,1/2+Z,1/2-X
Y,1/2-Z,1/2-X
-Y,1/2-Z,1/2+X
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+Z,X,1/2+Y
1/2+Z,-X,1/2-Y
1/2-Z,-X,1/2+Y
1/2-Z,X,1/2-Y
1/2+Y,Z,1/2+X
1/2-Y,Z,1/2-X
1/2+Y,-Z,1/2-X
1/2-Y,-Z,1/2+X
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Z,1/2+X,Y
1/2+Z,1/2-X,-Y
1/2-Z,1/2-X,Y
1/2-Z,1/2+X,-Y
1/2+Y,1/2+Z,X
1/2-Y,1/2+Z,-X
1/2+Y,1/2-Z,-X
1/2-Y,1/2-Z,X
/197 24 12 I23 PG23 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
1/2+Z,1/2-X,1/2-Y
1/2-Z,1/2-X,1/2+Y
1/2-Z,1/2+X,1/2-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,1/2-X
1/2-Y,1/2-Z,1/2+X
/198 12 12 P213 PG23 CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
/199 24 12 I213 PG23 CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
Z,-X,1/2-Y
-Z,1/2-X,Y
1/2-Z,X,-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,Z,-X
Y,-Z,1/2-X
-Y,1/2-Z,X
/200 24 24 Pm-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
-Z,-X,-Y
-Z,X,Y
Z,X,-Y
Z,-X,Y
-Y,-Z,-X
Y,-Z,X
-Y,Z,X
Y,Z,-X
/201 24 24 Pn-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
1/2-Z,1/2+X,1/2+Y
1/2+Z,1/2+X,1/2-Y
1/2+Z,1/2-X,1/2+Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,1/2+X
1/2+Y,1/2+Z,1/2-X
/202 96 24 Fm-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
-Z,-X,-Y
-Z,X,Y
Z,X,-Y
Z,-X,Y
-Y,-Z,-X
Y,-Z,X
-Y,Z,X
Y,Z,-X
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
Z,1/2+X,1/2+Y
Z,1/2-X,1/2-Y
-Z,1/2-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,1/2+Z,1/2+X
-Y,1/2+Z,1/2-X
Y,1/2-Z,1/2-X
-Y,1/2-Z,1/2+X
-X,1/2-Y,1/2-Z
X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
-Z,1/2-X,1/2-Y
-Z,1/2+X,1/2+Y
Z,1/2+X,1/2-Y
Z,1/2-X,1/2+Y
-Y,1/2-Z,1/2-X
Y,1/2-Z,1/2+X
-Y,1/2+Z,1/2+X
Y,1/2+Z,1/2-X
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+Z,X,1/2+Y
1/2+Z,-X,1/2-Y
1/2-Z,-X,1/2+Y
1/2-Z,X,1/2-Y
1/2+Y,Z,1/2+X
1/2-Y,Z,1/2-X
1/2+Y,-Z,1/2-X
1/2-Y,-Z,1/2+X
1/2-X,-Y,1/2-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2-Z,-X,1/2-Y
1/2-Z,X,1/2+Y
1/2+Z,X,1/2-Y
1/2+Z,-X,1/2+Y
1/2-Y,-Z,1/2-X
1/2+Y,-Z,1/2+X
1/2-Y,Z,1/2+X
1/2+Y,Z,1/2-X
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Z,1/2+X,Y
1/2+Z,1/2-X,-Y
1/2-Z,1/2-X,Y
1/2-Z,1/2+X,-Y
1/2+Y,1/2+Z,X
1/2-Y,1/2+Z,-X
1/2+Y,1/2-Z,-X
1/2-Y,1/2-Z,X
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Z,1/2-X,-Y
1/2-Z,1/2+X,Y
1/2+Z,1/2+X,-Y
1/2+Z,1/2-X,Y
1/2-Y,1/2-Z,-X
1/2+Y,1/2-Z,X
1/2-Y,1/2+Z,X
1/2+Y,1/2+Z,-X
/203 96 24 Fd-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
1/4-X,1/4-Y,1/4-Z
1/4+X,1/4+Y,1/4-Z
1/4+X,1/4-Y,1/4+Z
1/4-X,1/4+Y,1/4+Z
1/4-Z,1/4-X,1/4-Y
1/4-Z,1/4+X,1/4+Y
1/4+Z,1/4+X,1/4-Y
1/4+Z,1/4-X,1/4+Y
1/4-Y,1/4-Z,1/4-X
1/4+Y,1/4-Z,1/4+X
1/4-Y,1/4+Z,1/4+X
1/4+Y,1/4+Z,1/4-X
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
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1/4-X,3/4+Y,3/4+Z
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1/4+Z,3/4-X,3/4+Y
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1/2+X,1/2+Y,Z
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3/4-X,3/4-Y,1/4-Z
3/4+X,3/4+Y,1/4-Z
3/4+X,3/4-Y,Z+1/4
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3/4-Z,3/4-X,1/4-Y
3/4-Z,3/4+X,1/4+Y
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3/4-Y,3/4+Z,1/4+X
3/4+Y,3/4+Z,1/4-X
/204 48 24 Im-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
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1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
1/2-Z,1/2+X,1/2+Y
1/2+Z,1/2+X,1/2-Y
1/2+Z,1/2-X,1/2+Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,1/2+X
1/2+Y,1/2+Z,1/2-X
/205 24 24 Pa-3 PGm3bar CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
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1/2+X,Y,1/2-Z
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1/2-X,1/2+Y,Z
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-Y,-Z,-X
Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,X
1/2+Y,Z,1/2-X
/206 48 24 Ia-3 PGm3bar CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
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1/2-X,1/2+Y,Z
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1/2-Y,1/2+Z,X
1/2+Y,Z,1/2-X
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,+Y,-Z
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1/2-Z,X,-Y
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1/2-Y,Z,-X
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1/2-X,1/2-Y,1/2-Z
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1/2+X,-Y,Z
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1/2-Z,1/2-X,1/2-Y
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Z,1/2+X,-Y
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1/2-Y,1/2-Z,1/2-X
1/2+Y,-Z,X
-Y,Z,1/2+X
Y,1/2+Z,-X
/207 24 24 P432 PG432 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
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-X,-Z,-Y
X,-Z,Y
Z,Y,-X
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/208 24 24 P4232 PG432 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
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Y,Z,X
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1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
1/2+Y,1/2-X,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+X,1/2+Z,1/2-Y
1/2-X,1/2+Z,1/2+Y
1/2-X,1/2-Z,1/2-Y
1/2+X,1/2-Z,1/2+Y
1/2+Z,1/2+Y,1/2-X
1/2+Z,1/2-Y,1/2+X
1/2-Z,1/2+Y,1/2+X
1/2-Z,1/2-Y,1/2-X
/209 96 24 F432 PG432 CUBIC
X,Y,Z
-X,-Y,Z
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X,-Y,-Z
Z,X,Y
Z,-X,-Y
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X,1/2-Y,1/2-Z
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-Z,1/2+X,1/2-Y
Y,1/2+Z,1/2+X
-Y,1/2+Z,1/2-X
Y,1/2-Z,1/2-X
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Y,1/2+X,1/2-Z
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Y,1/2-X,1/2+Z
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X,1/2+Z,1/2-Y
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X,1/2-Z,1/2+Y
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1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+Z,X,1/2+Y
1/2+Z,-X,1/2-Y
1/2-Z,-X,1/2+Y
1/2-Z,X,1/2-Y
1/2+Y,Z,1/2+X
1/2-Y,Z,1/2-X
1/2+Y,-Z,1/2-X
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1/2+Z,-Y,1/2+X
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1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Z,1/2+X,Y
1/2+Z,1/2-X,-Y
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1/2-Y,1/2-Z,X
1/2+Y,1/2+X,-Z
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1/2-Z,1/2+Y,X
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/210 96 24 F4132 PG432 CUBIC
X,Y,Z
-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,-Z
1/2+X,-Y,1/2-Z
Z,X,Y
1/2+Z,-X,1/2-Y
-Z,1/2-X,1/2+Y
1/2-Z,1/2+X,-Y
Y,Z,X
1/2-Y,1/2+Z,-X
1/2+Y,-Z,1/2-X
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3/4+Y,1/4+X,3/4-Z
1/4-Y,1/4-X,1/4-Z
1/4+Y,3/4-X,3/4+Z
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3/4-X,3/4+Z,1/4+Y
1/4-X,1/4-Z,1/4-Y
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1/2+Y,1/2-Z,-X
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3/4+Y,3/4+X,1/4-Z
1/4-Y,3/4-X,3/4-Z
1/4+Y,1/4-X,1/4+Z
3/4-Y,1/4+X,3/4+Z
3/4+X,3/4+Z,1/4-Y
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1/4-X,3/4-Z,3/4-Y
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1/2+X,Y,1/2+Z
1/2-X,1/2-Y,Z
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X,-Y,-Z
1/2+Z,X,1/2+Y
Z,-X,-Y
1/2-Z,1/2-X,Y
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1/2+Y,Z,1/2+X
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3/4+X,3/4-Z,1/4+Y
1/4+Z,1/4+Y,1/4-X
3/4+Z,3/4-Y,1/4+X
1/4-Z,3/4+Y,3/4+X
3/4-Z,1/4-Y,3/4-X
1/2+X,1/2+Y,Z
1/2-X,-Y,1/2+Z
-X,Y,-Z
X,1/2-Y,1/2-Z
1/2+Z,1/2+X,Y
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1/2-Y,-Z,1/2+X
1/4+Y,3/4+X,3/4-Z
3/4-Y,3/4-X,1/4-Z
3/4+Y,1/4-X,3/4+Z
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3/4-Z,3/4-Y,1/4-X
/211 48 24 I432 PG432 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
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Y,-Z,-X
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Y,X,-Z
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Y,-X,Z
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X,Z,-Y
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X,-Z,Y
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1/2+Z,1/2+X,1/2+Y
1/2+Z,1/2-X,1/2-Y
1/2-Z,1/2-X,1/2+Y
1/2-Z,1/2+X,1/2-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,1/2-X
1/2-Y,1/2-Z,1/2+X
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
1/2+Y,1/2-X,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+X,1/2+Z,1/2-Y
1/2-X,1/2+Z,1/2+Y
1/2-X,1/2-Z,1/2-Y
1/2+X,1/2-Z,1/2+Y
1/2+Z,1/2+Y,1/2-X
1/2+Z,1/2-Y,1/2+X
1/2-Z,1/2+Y,1/2+X
1/2-Z,1/2-Y,1/2-X
/212 24 24 P4332 PG432 CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
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1/2-Y,-Z,1/2+X
1/4+Y,3/4+X,3/4-Z
1/4-Y,1/4-X,1/4-Z
3/4+Y,3/4-X,1/4+Z
3/4-Y,1/4+X,3/4+Z
1/4+X,3/4+Z,3/4-Y
3/4-X,1/4+Z,3/4+Y
1/4-X,1/4-Z,1/4-Y
3/4+X,3/4-Z,1/4+Y
1/4+Z,3/4+Y,3/4-X
3/4+Z,3/4-Y,1/4+X
3/4-Z,1/4+Y,3/4+X
1/4-Z,1/4-Y,1/4-X
/213 24 24 P4132 PG432 CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
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1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
3/4+Y,1/4+X,1/4-Z
3/4-Y,3/4-X,3/4-Z
1/4+Y,1/4-X,3/4+Z
1/4-Y,3/4+X,1/4+Z
3/4+X,1/4+Z,1/4-Y
1/4-X,3/4+Z,1/4+Y
3/4-X,3/4-Z,3/4-Y
1/4+X,1/4-Z,3/4+Y
3/4+Z,1/4+Y,1/4-X
1/4+Z,1/4-Y,3/4+X
1/4-Z,3/4+Y,1/4+X
3/4-Z,3/4-Y,3/4-X
/214 48 24 I4132 PG432 CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
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Y,Z,X
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1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
3/4+Y,1/4+X,1/4-Z
3/4-Y,3/4-X,3/4-Z
1/4+Y,1/4-X,3/4+Z
1/4-Y,3/4+X,1/4+Z
3/4+X,1/4+Z,1/4-Y
1/4-X,3/4+Z,1/4+Y
3/4-X,3/4-Z,3/4-Y
1/4+X,1/4-Z,3/4+Y
3/4+Z,1/4+Y,1/4-X
1/4+Z,1/4-Y,3/4+X
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3/4-Z,3/4-Y,3/4-X
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
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1/2+Z,1/2-X,-Y
-Z,-X,Y
1/2-Z,X,1/2-Y
Y,1/2+Z,1/2+X
1/2-Y,Z,1/2-X
1/2+Y,1/2-Z,-X
-Y,-Z,X
3/4+Y,3/4+X,1/4-Z
1/4-Y,3/4-X,3/4-Z
1/4+Y,1/4-X,1/4+Z
3/4-Y,1/4+X,3/4+Z
3/4+X,3/4+Z,1/4-Y
3/4-X,1/4+Z,3/4+Y
1/4-X,3/4-Z,3/4-Y
1/4+X,1/4-Z,1/4+Y
3/4+Z,3/4+Y,1/4-X
1/4+Z,1/4-Y,1/4+X
3/4-Z,1/4+Y,3/4+X
1/4-Z,3/4-Y,3/4-X
3/4-X,1/4-Y,1/4-Z
3/4+X,3/4+Y,3/4-Z
1/4+X,3/4-Y,1/4+Z
1/4-X,1/4+Y,3/4+Z
3/4-Z,1/4-X,1/4-Y
1/4-Z,1/4+X,3/4+Y
3/4+Z,3/4+X,3/4-Y
1/4+Z,3/4-X,1/4+Y
3/4-Y,1/4-Z,1/4-X
1/4+Y,3/4-Z,1/4+X
1/4-Y,1/4+Z,3/4+X
3/4+Y,3/4+Z,3/4-X
-Y,-X,1/2+Z
1/2+Y,X,Z
1/2-Y,1/2+X,1/2-Z
Y,1/2-X,-Z
-X,-Z,1/2+Y
X,1/2-Z,-Y
1/2+X,Z,Y
1/2-X,1/2+Z,1/2-Y
-Z,-Y,1/2+X
1/2-Z,1/2+Y,1/2-X
Z,1/2-Y,-X
1/2+Z,Y,X
1/2+X,Y,1/2+Z
1/2-X,1/2-Y,Z
-X,1/2+Y,1/2-Z
X,-Y,-Z
1/2+Z,X,1/2+Y
Z,-X,-Y
1/2-Z,1/2-X,Y
-Z,1/2+X,1/2-Y
1/2+Y,Z,1/2+X
-Y,1/2+Z,1/2-X
Y,-Z,-X
1/2-Y,1/2-Z,X
1/4+Y,1/4+X,1/4-Z
3/4-Y,1/4-X,3/4-Z
3/4+Y,3/4-X,1/4+Z
1/4-Y,3/4+X,3/4+Z
1/4+X,1/4+Z,1/4-Y
1/4-X,3/4+Z,3/4+Y
3/4-X,1/4-Z,3/4-Y
3/4+X,3/4-Z,1/4+Y
1/4+Z,1/4+Y,1/4-X
3/4+Z,3/4-Y,1/4+X
1/4-Z,3/4+Y,3/4+X
3/4-Z,1/4-Y,3/4-X
1/4-X,3/4-Y,1/4-Z
1/4+X,1/4+Y,3/4-Z
3/4+X,1/4-Y,1/4+Z
3/4-X,3/4+Y,3/4+Z
1/4-Z,3/4-X,1/4-Y
3/4-Z,3/4+X,3/4+Y
1/4+Z,1/4+X,3/4-Y
3/4+Z,1/4-X,1/4+Y
1/4-Y,3/4-Z,1/4-X
3/4+Y,1/4-Z,1/4+X
3/4-Y,3/4+Z,3/4+X
1/4+Y,1/4+Z,3/4-X
1/2-Y,1/2-X,1/2+Z
Y,1/2+X,Z
-Y,X,1/2-Z
1/2+Y,-X,-Z
1/2-X,1/2-Z,1/2+Y
1/2+X,-Z,-Y
X,1/2+Z,Y
-X,Z,1/2-Y
1/2-Z,1/2-Y,1/2+X
-Z,Y,1/2-X
1/2+Z,-Y,-X
Z,1/2+Y,X
1/2+X,1/2+Y,Z
1/2-X,-Y,1/2+Z
-X,Y,-Z
X,1/2-Y,1/2-Z
1/2+Z,1/2+X,Y
Z,1/2-X,1/2-Y
1/2-Z,-X,1/2+Y
-Z,X,-Y
1/2+Y,1/2+Z,X
-Y,Z,-X
Y,1/2-Z,1/2-X
1/2-Y,-Z,1/2+X
1/4+Y,3/4+X,3/4-Z
3/4-Y,3/4-X,1/4-Z
3/4+Y,1/4-X,3/4+Z
1/4-Y,1/4+X,1/4+Z
1/4+X,3/4+Z,3/4-Y
1/4-X,1/4+Z,1/4+Y
3/4-X,3/4-Z,1/4-Y
3/4+X,1/4-Z,3/4+Y
1/4+Z,3/4+Y,3/4-X
3/4+Z,1/4-Y,3/4+X
1/4-Z,1/4+Y,1/4+X
3/4-Z,3/4-Y,1/4-X
1/4-X,1/4-Y,3/4-Z
1/4+X,3/4+Y,1/4-Z
3/4+X,3/4-Y,3/4+Z
3/4-X,1/4+Y,1/4+Z
1/4-Z,1/4-X,3/4-Y
3/4-Z,1/4+X,1/4+Y
1/4+Z,3/4+X,1/4-Y
3/4+Z,3/4-X,3/4+Y
1/4-Y,1/4-Z,3/4-X
3/4+Y,3/4-Z,3/4+X
3/4-Y,1/4+Z,1/4+X
1/4+Y,3/4+Z,1/4-X
1/2-Y,-X,Z
Y,X,1/2+Z
-Y,1/2+X,-Z
1/2+Y,1/2-X,1/2-Z
1/2-X,-Z,Y
1/2+X,1/2-Z,1/2-Y
X,Z,1/2+Y
-X,1/2+Z,-Y
1/2-Z,-Y,X
-Z,1/2+Y,-X
1/2+Z,1/2-Y,1/2-X
Z,Y,1/2+X
/229 96 48 Im-3m PGm3barm CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
Y,X,-Z
-Y,-X,-Z
Y,-X,Z
-Y,X,Z
X,Z,-Y
-X,Z,Y
-X,-Z,-Y
X,-Z,Y
Z,Y,-X
Z,-Y,X
-Z,Y,X
-Z,-Y,-X
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
-Z,-X,-Y
-Z,X,Y
Z,X,-Y
Z,-X,Y
-Y,-Z,-X
Y,-Z,X
-Y,Z,X
Y,Z,-X
-Y,-X,Z
Y,X,Z
-Y,X,-Z
Y,-X,-Z
-X,-Z,Y
X,-Z,-Y
X,Z,Y
-X,Z,-Y
-Z,-Y,X
-Z,Y,-X
Z,-Y,-X
Z,Y,X
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
1/2+Z,1/2-X,1/2-Y
1/2-Z,1/2-X,1/2+Y
1/2-Z,1/2+X,1/2-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,1/2-X
1/2-Y,1/2-Z,1/2+X
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
1/2+Y,1/2-X,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+X,1/2+Z,1/2-Y
1/2-X,1/2+Z,1/2+Y
1/2-X,1/2-Z,1/2-Y
1/2+X,1/2-Z,1/2+Y
1/2+Z,1/2+Y,1/2-X
1/2+Z,1/2-Y,1/2+X
1/2-Z,1/2+Y,1/2+X
1/2-Z,1/2-Y,1/2-X
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
1/2-Z,1/2+X,1/2+Y
1/2+Z,1/2+X,1/2-Y
1/2+Z,1/2-X,1/2+Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,1/2+X
1/2+Y,1/2+Z,1/2-X
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-X,1/2-Z,1/2+Y
1/2+X,1/2-Z,1/2-Y
1/2+X,1/2+Z,1/2+Y
1/2-X,1/2+Z,1/2-Y
1/2-Z,1/2-Y,1/2+X
1/2-Z,1/2+Y,1/2-X
1/2+Z,1/2-Y,1/2-X
1/2+Z,1/2+Y,1/2+X
/230 96 48 Ia-3d PGm3barm CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
3/4+Y,1/4+X,1/4-Z
3/4-Y,3/4-X,3/4-Z
1/4+Y,1/4-X,3/4+Z
1/4-Y,3/4+X,1/4+Z
3/4+X,1/4+Z,1/4-Y
1/4-X,3/4+Z,1/4+Y
3/4-X,3/4-Z,3/4-Y
1/4+X,1/4-Z,3/4+Y
3/4+Z,1/4+Y,1/4-X
1/4+Z,1/4-Y,3/4+X
1/4-Z,3/4+Y,1/4+X
3/4-Z,3/4-Y,3/4-X
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
-Z,-X,-Y
1/2-Z,1/2+X,Y
1/2+Z,X,1/2-Y
Z,1/2-X,1/2+Y
-Y,-Z,-X
Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,X
1/2+Y,Z,1/2-X
1/4-Y,3/4-X,3/4+Z
1/4+Y,1/4+X,1/4+Z
3/4-Y,3/4+X,1/4-Z
3/4+Y,1/4-X,3/4-Z
1/4-X,3/4-Z,3/4+Y
3/4+X,1/4-Z,3/4-Y
1/4+X,1/4+Z,1/4+Y
3/4-X,3/4+Z,1/4-Y
1/4-Z,3/4-Y,3/4+X
3/4-Z,3/4+Y,1/4-X
3/4+Z,1/4-Y,3/4-X
1/4+Z,1/4+Y,1/4+X
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
Z,-X,1/2-Y
-Z,1/2-X,Y
1/2-Z,X,-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,Z,-X
Y,-Z,1/2-X
-Y,1/2-Z,X
1/4+Y,3/4+X,3/4-Z
1/4-Y,1/4-X,1/4-Z
3/4+Y,3/4-X,1/4+Z
3/4-Y,1/4+X,3/4+Z
1/4+X,3/4+Z,3/4-Y
3/4-X,1/4+Z,3/4+Y
1/4-X,1/4-Z,1/4-Y
3/4+X,3/4-Z,1/4+Y
1/4+Z,3/4+Y,3/4-X
3/4+Z,3/4-Y,1/4+X
3/4-Z,1/4+Y,3/4+X
1/4-Z,1/4-Y,1/4-X
1/2-X,1/2-Y,1/2-Z
X,1/2+Y,-Z
1/2+X,-Y,Z
-X,Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
-Z,X,1/2+Y
Z,1/2+X,-Y
1/2+Z,-X,Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,-Z,X
-Y,Z,1/2+X
Y,1/2+Z,-X
3/4-Y,1/4-X,1/4+Z
3/4+Y,3/4+X,3/4+Z
1/4-Y,1/4+X,3/4-Z
1/4+Y,3/4-X,1/4-Z
3/4-X,1/4-Z,1/4+Y
1/4+X,3/4-Z,1/4-Y
3/4+X,3/4+Z,3/4+Y
1/4-X,1/4+Z,3/4-Y
3/4-Z,1/4-Y,1/4+X
1/4-Z,1/4+Y,3/4-X
1/4+Z,3/4-Y,1/4-X
3/4+Z,3/4+Y,3/4+X
/999 96 48 Ia-3d H 3
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X+2/3,Y+1/3,Z+1/3
-Y+2/3,X-Y+1/3,Z+1/3
Y-X+2/3,-X+1/3,Z+1/3
X+1/3,Y+2/3,Z+2/3
-Y+1/3,X-Y+2/3,Z+2/3
Y-X+1/3,-X+2/3,Z+2/3
This file contains all the
symmetry operators and is
part of the CCP4 distribution.
-------------------------------
/1 1 1 P1 PG1 TRICLINIC
X,Y,Z
/2 2 2 P-1 PG1bar TRICLINIC
X,Y,Z
-X,-Y,-Z
/3 2 2 P2 PG2 MONOCLINIC
X,Y,Z
-X,Y,-Z
/4 2 2 P21 PG2 MONOCLINIC
X,Y,Z
-X,Y+1/2,-Z
/5 4 2 C2 PG2 MONOCLINIC
X,Y,Z
-X,Y,-Z
1/2+X,1/2+Y,Z
1/2-X,1/2+Y,-Z
/6 2 2 Pm PGm MONOCLINIC
X,Y,Z
X,-Y,Z
/7 2 2 Pc PGm MONOCLINIC
X,Y,Z
X,-Y,1/2+Z
/8 4 2 Cm PGm MONOCLINIC
X,Y,Z
X,-Y,Z
1/2+X,1/2+Y,Z
1/2+X,1/2-Y,Z
/9 4 2 Cc PGm MONOCLINIC
X,Y,Z
X,-Y,1/2+Z
1/2+X,1/2+Y,Z
1/2+X,1/2-Y,1/2+Z
/10 4 4 P2/m PG2/m MONOCLINIC
X,Y,Z
X,-Y,Z
-X,Y,-Z
-X,-Y,-Z
/11 4 4 P21/m PG2/m MONOCLINIC
X,Y,Z
-X,1/2+Y,-Z
-X,-Y,-Z
X,1/2-Y,Z
/12 8 4 C2/m PG2/m MONOCLINIC
X,Y,Z
X,-Y,Z
-X,Y,-Z
-X,-Y,-Z
1/2+X,1/2+Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2-X,1/2-Y,-Z
/13 4 4 P2/c PG2/m MONOCLINIC
X,Y,Z
-X,Y,1/2-Z
-X,-Y,-Z
X,-Y,1/2+Z
/14 4 4 P21/c PG2/m MONOCLINIC
X,Y,Z
-X,-Y,-Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
/15 8 4 C2/c PG2/m MONOCLINIC
X,Y,Z
-X,Y,1/2-Z
-X,-Y,-Z
X,-Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2+Y,1/2-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2-Y,1/2+Z
/16 4 4 P222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
/17 4 4 P2221 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,-Z
/18 4 4 P21212 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
/19 4 4 P212121 PG222 ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
/20 8 4 C2221 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,-Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
/21 8 4 C222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
/22 16 4 F222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
/23 8 4 I222 PG222 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,-Z
-X,Y,-Z
X+1/2,Y+1/2,Z+1/2
-X+1/2,-Y+1/2,Z+1/2
X+1/2,-Y+1/2,-Z+1/2
-X+1/2,Y+1/2,-Z+1/2
/24 8 4 I212121 PG222 ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
/25 4 4 Pmm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
/26 4 4 Pmc21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,Z
/27 4 4 Pcc2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/28 4 4 Pma2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,-Y,Z
1/2-X,Y,Z
/29 4 4 Pca21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
1/2+X,-Y,Z
1/2-X,Y,1/2+Z
/30 4 4 Pnc2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/31 4 4 Pmn21 PGmm2 ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
1/2+X,-Y,1/2+Z
-X,Y,Z
/32 4 4 Pba2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/33 4 4 Pna21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,1/2+Z
/34 4 4 Pnn2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/35 8 4 Cmm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/36 8 4 Cmc21 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
/37 8 4 Ccc2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/38 8 4 Amm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/39 8 4 Abm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,1/2-Y,Z
-X,1/2+Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/40 8 4 Ama2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,-Y,Z
1/2-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/41 8 4 Aba2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
/42 16 4 Fmm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/43 16 4 Fdd2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/4+X,1/4-Y,1/4+Z
1/4-X,1/4+Y,1/4+Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
1/4+X,3/4-Y,3/4+Z
1/4-X,3/4+Y,3/4+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
3/4+X,1/4-Y,3/4+Z
3/4-X,1/4+Y,3/4+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
3/4+X,3/4-Y,1/4+Z
3/4-X,3/4+Y,1/4+Z
/44 8 4 Imm2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/45 8 4 Iba2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/46 8 4 Ima2 PGmm2 ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2+X,-Y,Z
1/2-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/47 8 8 Pmmm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
/48 8 8 Pnnn PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/49 8 8 Pccm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/50 8 8 Pban PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/51 8 8 Pmma PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,Z
-X,Y,-Z
1/2+X,-Y,-Z
-X,-Y,-Z
1/2+X,Y,-Z
X,-Y,Z
1/2-X,Y,Z
/52 8 8 Pnna PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,Z
1/2-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
-X,-Y,-Z
1/2+X,Y,-Z
1/2+X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
/53 8 8 Pmna PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
X,-Y,-Z
-X,-Y,-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
-X,Y,Z
/54 8 8 Pcca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,Z
-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
-X,-Y,-Z
1/2+X,Y,-Z
X,-Y,1/2+Z
1/2-X,Y,1/2+Z
/55 8 8 Pbam PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
X,Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/56 8 8 Pccn PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,1/2-Y,Z
-X,1/2+Y,1/2-Z
1/2+X,-Y,1/2-Z
-X,-Y,-Z
1/2+X,1/2+Y,-Z
X,1/2-Y,1/2+Z
1/2-X,Y,1/2+Z
/57 8 8 Pbcm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,-Z
-X,-Y,-Z
X,Y,1/2-Z
X,1/2-Y,1/2+Z
-X,1/2+Y,Z
/58 8 8 Pnnm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
-X,-Y,-Z
X,Y,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/59 8 8 Pmmn PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,Y+1/2,-Z
X+1/2,1/2-Y,-Z
1/2-X,1/2-Y,-Z
X+1/2,Y+1/2,-Z
X,-Y,Z
-X,Y,Z
/60 8 8 Pbcn PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-X,Y,1/2-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
1/2+X,1/2+Y,1/2-Z
X,-Y,1/2+Z
1/2-X,1/2+Y,Z
/61 8 8 Pbca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
/62 8 8 Pnma PGmmm ORTHORHOMBIC
X,Y,Z
-X+1/2,-Y,Z+1/2
-X,Y+1/2,-Z
X+1/2,-Y+1/2,-Z+1/2
-X,-Y,-Z
X+1/2,Y,-Z+1/2
X,-Y+1/2,Z
-X+1/2,Y+1/2,Z+1/2
/63 16 8 Cmcm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,1/2-Z
X,-Y,1/2+Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
/64 16 8 Cmca PGmmm ORTHORHOMBIC
X,Y,Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,-Y,-Z
-X,-Y,-Z
X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,1/2+Y,Z
/65 16 8 Cmmm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/66 16 8 Cccm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/67 16 8 Cmma PGmmm ORTHORHOMBIC
X,Y,Z
-X,1/2-Y,Z
-X,1/2+Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,1/2+Y,-Z
X,1/2-Y,Z
-X,Y,Z
1/2+X,1/2+Y,Z
1/2-X,-Y,Z
1/2-X,Y,-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,Y,-Z
1/2+X,-Y,Z
1/2-X,1/2+Y,Z
/68 16 8 Ccca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,1/2-Y,Z
-X,Y,-Z
1/2+X,1/2-Y,-Z
-X,1/2-Y,1/2-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2+X,1/2+Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
X,-Y,-Z
1/2-X,-Y,1/2-Z
X,1/2+Y,1/2-Z
1/2+X,-Y,1/2+Z
-X,1/2+Y,1/2+Z
/69 32 8 Fmmm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
-X,1/2-Y,1/2-Z
X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2-X,-Y,1/2-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
/70 32 8 Fddd PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
1/4-X,1/4-Y,1/4-Z
1/4+X,1/4+Y,1/4-Z
1/4+X,1/4-Y,1/4+Z
1/4-X,1/4+Y,1/4+Z
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
1/4-X,3/4-Y,3/4-Z
1/4+X,3/4+Y,3/4-Z
1/4+X,3/4-Y,3/4+Z
1/4-X,3/4+Y,3/4+Z
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
3/4-X,1/4-Y,3/4-Z
3/4+X,1/4+Y,3/4-Z
3/4+X,1/4-Y,3/4+Z
3/4-X,1/4+Y,3/4+Z
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
3/4-X,3/4-Y,1/4-Z
3/4+X,3/4+Y,1/4-Z
3/4+X,3/4-Y,1/4+Z
3/4-X,3/4+Y,1/4+Z
/71 16 8 Immm PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/72 16 8 Ibam PGmmm ORTHORHOMBIC
X,Y,Z
-X,-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
X,Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
-X,Y,1/2-Z
X,-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
/73 16 8 Ibca PGmmm ORTHORHOMBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
X,1/2+Y,-Z
1/2+X,-Y,Z
-X,Y,1/2+Z
/74 16 8 Imma PGmmm ORTHORHOMBIC
X,Y,Z
-X,1/2-Y,Z
-X,1/2+Y,-Z
X,-Y,-Z
-X,-Y,-Z
X,1/2+Y,-Z
X,1/2-Y,Z
-X,Y,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
/75 4 4 P4 PG4 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
/76 4 4 P41 PG4 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,1/4+Z
Y,-X,3/4+Z
/77 4 4 P42 PG4 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
/78 4 4 P43 PG4 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,3/4+Z
Y,-X,1/4+Z
/79 8 4 I4 PG4 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
/80 8 4 I41 PG4 TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
/81 4 4 P-4 PG4bar TETRAGONAL
X,Y,Z
-X,-Y,Z
Y,-X,-Z
-Y,X,-Z
/82 8 4 I-4 PG4bar TETRAGONAL
X,Y,Z
-X,-Y,Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
/83 8 8 P4/m PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
/84 8 8 P42/m PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
/85 8 8 P4/n PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
Y,-X,-Z
-Y,X,-Z
/86 8 8 P42/n PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
/87 16 8 I4/m PG4/m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
/88 16 8 I41/a PG4/m TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
-X,1/2-Y,1/4-Z
1/2+X,Y,3/4-Z
Y,-X,-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
1/2-X,-Y,3/4-Z
X,1/2+Y,1/4-Z
1/2+Y,1/2-X,1/2-Z
-Y,X,-Z
/89 8 8 P422 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
/90 8 8 P4212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
Y,X,-Z
-Y,-X,-Z
/91 8 8 P4122 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,1/4+Z
Y,-X,3/4+Z
-X,Y,-Z
X,-Y,1/2-Z
Y,X,3/4-Z
-Y,-X,1/4-Z
/92 8 8 P41212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
1/2-Y,1/2+X,1/4+Z
1/2+Y,1/2-X,3/4+Z
1/2-X,1/2+Y,1/4-Z
1/2+X,1/2-Y,3/4-Z
Y,X,-Z
-Y,-X,1/2-Z
/93 8 8 P4222 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,Y,-Z
X,-Y,-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
/94 8 8 P42212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
/95 8 8 P4322 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
-Y,X,3/4+Z
Y,-X,1/4+Z
-X,Y,-Z
X,-Y,1/2-Z
Y,X,1/4-Z
-Y,-X,3/4-Z
/96 8 8 P43212 PG422 TETRAGONAL
X,Y,Z
-X,-Y,1/2+Z
1/2-Y,1/2+X,3/4+Z
1/2+Y,1/2-X,1/4+Z
1/2-X,1/2+Y,3/4-Z
1/2+X,1/2-Y,1/4-Z
Y,X,-Z
-Y,-X,1/2-Z
/97 16 8 I422 PG422 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
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1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
/98 16 8 I4122 PG422 TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2-X,Y,3/4-Z
X,1/2-Y,1/4-Z
1/2+Y,1/2+X,1/2-Z
-Y,-X,-Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
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-X,1/2+Y,1/4-Z
1/2+X,-Y,3/4-Z
Y,X,-Z
1/2-Y,1/2-X,1/2-Z
/99 8 8 P4mm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
/100 8 8 P4bm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/101 8 8 P42cm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,Z
Y,X,Z
/102 8 8 P42nm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
-Y,-X,Z
Y,X,Z
/103 8 8 P4cc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/104 8 8 P4nc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/105 8 8 P42mc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
X,-Y,Z
-X,Y,Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/106 8 8 P42bc PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/107 16 8 I4mm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/108 16 8 I4cm PG4mm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/109 16 8 I41md PG4mm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
X,-Y,Z
1/2-X,1/2+Y,1/2+Z
-Y,1/2-X,1/4+Z
1/2+Y,X,3/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
1/2+X,1/2-Y,1/2+Z
-X,Y,Z
1/2-Y,-X,3/4+Z
Y,1/2+X,1/4+Z
/110 16 8 I41cd PG4mm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
X,-Y,1/2+Z
1/2-X,1/2+Y,Z
-Y,1/2-X,3/4+Z
1/2+Y,X,1/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
1/2+X,1/2-Y,Z
-X,Y,1/2+Z
1/2-Y,-X,1/4+Z
Y,1/2+X,3/4+Z
/111 8 8 P-42m PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
-X,Y,-Z
X,-Y,-Z
-Y,-X,Z
Y,X,Z
/112 8 8 P-42c PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
-X,Y,1/2-Z
X,-Y,1/2-Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/113 8 8 P-421m PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/114 8 8 P-421c PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/115 8 8 P-4m2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
Y,X,-Z
-Y,-X,-Z
/116 8 8 P-4c2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
Y,X,1/2-Z
-Y,-X,1/2-Z
/117 8 8 P-4b2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
/118 8 8 P-4n2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
/119 16 8 I-4m2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
X,-Y,Z
-X,Y,Z
Y,X,-Z
-Y,-X,-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
/120 16 8 I-4c2 PG4barm2 TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
Y,X,1/2-Z
-Y,-X,1/2-Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
/121 16 8 I-42m PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
-X,Y,-Z
X,-Y,-Z
-Y,-X,Z
Y,X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/122 16 8 I-42d PG4bar2m TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,-Z
Y,-X,-Z
1/2-X,Y,3/4-Z
1/2+X,-Y,3/4-Z
1/2-Y,-X,3/4+Z
1/2+Y,X,3/4+Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
-X,1/2+Y,1/4-Z
X,1/2-Y,1/4-Z
-Y,1/2-X,1/4+Z
Y,1/2+X,1/4+Z
/123 16 16 P4/mmm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
/124 16 16 P4/mcc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/125 16 16 P4/nbm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+Y,1/2-X,-Z
1/2-Y,1/2+X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/126 16 16 P4/nnc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/127 16 16 P4/mbm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/128 16 16 P4/mnc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/129 16 16 P4/nmm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/130 16 16 P4/ncc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,Z
1/2+Y,1/2-X,Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/131 16 16 P42/mmc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,Y,-Z
X,-Y,-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
X,-Y,Z
-X,Y,Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/132 16 16 P42/mcm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
-X,Y,1/2-Z
X,-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,Z
Y,X,Z
/133 16 16 P42/nbc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
-X,Y,1/2-Z
X,-Y,1/2-Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
-Y,-X,1/2+Z
Y,X,1/2+Z
/134 16 16 P42/nnm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
-X,Y,-Z
X,-Y,-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
-Y,-X,Z
Y,X,Z
/135 16 16 P42/mbc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,1/2+Z
Y,-X,1/2+Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,1/2-Z
-Y,X,1/2-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/136 16 16 P42/mnm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,X+1/2,Z+1/2
Y+1/2,1/2-X,Z+1/2
1/2-X,Y+1/2,1/2-Z
X+1/2,1/2-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y+1/2,1/2-X,1/2-Z
1/2-Y,X+1/2,1/2-Z
X+1/2,1/2-Y,Z+1/2
1/2-X,Y+1/2,Z+1/2
-Y,-X,Z
Y,X,Z
/137 16 16 P42/nmc PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
Y,X,-Z
-Y,-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/138 16 16 P42/ncm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/139 32 16 I4/mmm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,-Z
X,-Y,-Z
Y,X,-Z
-Y,-X,-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,Z
-X,Y,Z
-Y,-X,Z
Y,X,Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Y,1/2+X,1/2-Z
1/2-Y,1/2-X,1/2-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
/140 32 16 I4/mcm PG4/mmm TETRAGONAL
X,Y,Z
-X,-Y,Z
-Y,X,Z
Y,-X,Z
-X,Y,1/2-Z
X,-Y,1/2-Z
Y,X,1/2-Z
-Y,-X,1/2-Z
-X,-Y,-Z
X,Y,-Z
Y,-X,-Z
-Y,X,-Z
X,-Y,1/2+Z
-X,Y,1/2+Z
-Y,-X,1/2+Z
Y,X,1/2+Z
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-Y,1/2+X,1/2+Z
1/2+Y,1/2-X,1/2+Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Y,1/2+X,-Z
1/2-Y,1/2-X,-Z
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Y,1/2-X,Z
1/2+Y,1/2+X,Z
/141 32 16 I41/amd PG4/mmm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2-X,Y,3/4-Z
X,1/2-Y,1/4-Z
1/2+Y,1/2+X,1/2-Z
-Y,-X,-Z
-X,1/2-Y,1/4-Z
1/2+X,Y,3/4-Z
Y,-X,-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,1/2+Z
-X,Y,Z
1/2-Y,-X,3/4+Z
Y,1/2+X,1/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
-X,1/2+Y,1/4-Z
1/2+X,-Y,3/4-Z
Y,X,-Z
1/2-Y,1/2-X,1/2-Z
1/2-X,-Y,3/4-Z
X,1/2+Y,1/4-Z
1/2+Y,1/2-X,1/2-Z
-Y,X,-Z
X,-Y,Z
1/2-X,1/2+Y,1/2+Z
-Y,1/2-X,1/4+Z
1/2+Y,X,3/4+Z
/142 32 16 I41/acd PG4/mmm TETRAGONAL
X,Y,Z
1/2-X,1/2-Y,1/2+Z
-Y,1/2+X,1/4+Z
1/2+Y,-X,3/4+Z
1/2-X,Y,1/4-Z
X,1/2-Y,3/4-Z
1/2+Y,1/2+X,-Z
-Y,-X,1/2-Z
-X,1/2-Y,1/4-Z
1/2+X,Y,3/4-Z
Y,-X,-Z
1/2-Y,1/2+X,1/2-Z
1/2+X,1/2-Y,Z
-X,Y,1/2+Z
1/2-Y,-X,1/4+Z
Y,1/2+X,3/4+Z
1/2+X,1/2+Y,1/2+Z
-X,-Y,Z
1/2-Y,X,3/4+Z
Y,1/2-X,1/4+Z
-X,1/2+Y,3/4-Z
1/2+X,-Y,1/4-Z
Y,X,1/2-Z
1/2-Y,1/2-X,-Z
1/2-X,-Y,3/4-Z
X,1/2+Y,1/4-Z
1/2+Y,1/2-X,1/2-Z
-Y,X,-Z
X,-Y,1/2+Z
1/2-X,1/2+Y,Z
-Y,1/2-X,3/4+Z
1/2+Y,X,1/4+Z
/143 3 3 P3 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
/144 3 3 P31 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z+1/3
Y-X,-X,Z+2/3
/145 3 3 P32 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z+2/3
Y-X,-X,Z+1/3
/146 9 3 R3 PG3 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X+2/3,Y+1/3,Z+1/3
-Y+2/3,X-Y+1/3,Z+1/3
Y-X+2/3,-X+1/3,Z+1/3
X+1/3,Y+2/3,Z+2/3
-Y+1/3,X-Y+2/3,Z+2/3
Y-X+1/3,-X+2/3,Z+2/3
/147 6 6 P-3 PG3bar TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
/148 18 6 R-3 PG3bar TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3-X,1/3-Y,1/3-Z
2/3+Y,1/3+Y-X,1/3-Z
2/3+X-Y,1/3+X,1/3-Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3-X,2/3-Y,2/3-Z
1/3+Y,2/3+Y-X,2/3-Z
1/3+X-Y,2/3+X,2/3-Z
/149 6 6 P312 PG312 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/150 6 6 P321 PG321 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
/151 6 6 P3112 PG312 TRIGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-Y,-X,2/3-Z
Y-X,Y,1/3-Z
X,X-Y,-Z
/152 6 6 P3121 PG321 TRIGONAL
X,Y,Z
-Y,X-Y,Z+1/3
Y-X,-X,Z+2/3
Y,X,-Z
X-Y,-Y,2/3-Z
-X,Y-X,1/3-Z
/153 6 6 P3212 PG312 TRIGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-Y,-X,1/3-Z
Y-X,Y,2/3-Z
X,X-Y,-Z
/154 6 6 P3221 PG321 TRIGONAL
X,Y,Z
-Y,X-Y,Z+2/3
Y-X,-X,Z+1/3
Y,X,-Z
X-Y,-Y,1/3-Z
-X,Y-X,2/3-Z
/155 18 6 R32 PG32 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3+Y,1/3+X,1/3-Z
2/3+X-Y,1/3-Y,1/3-Z
2/3-X,1/3+Y-X,1/3-Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3+Y,2/3+X,2/3-Z
1/3+X-Y,2/3-Y,2/3-Z
1/3-X,2/3+Y-X,2/3-Z
/156 6 6 P3m1 PG3m1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
/157 6 6 P31m PG31m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/158 6 6 P3c1 PG3m1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
/159 6 6 P31c PG31m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/160 18 6 R3m PG3m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3-Y,1/3-X,1/3+Z
2/3+Y-X,1/3+Y,1/3+Z
2/3+X,1/3+X-Y,1/3+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3-Y,2/3-X,2/3+Z
1/3+Y-X,2/3+Y,2/3+Z
1/3+X,2/3+X-Y,2/3+Z
/161 18 6 R3c PG3m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3-Y,1/3-X,5/6+Z
2/3+Y-X,1/3+Y,5/6+Z
2/3+X,1/3+X-Y,5/6+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3-Y,2/3-X,1/6+Z
1/3+Y-X,2/3+Y,1/6+Z
1/3+X,2/3+X-Y,1/6+Z
/162 12 12 P-31m PG3bar1m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/163 12 12 P-31c PG3bar1m TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/164 12 12 P-3m1 PG3barm1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
/165 12 12 P-3c1 PG3barm1 TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
/166 36 12 R-3m PG3barm TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3+Y,1/3+X,1/3-Z
2/3+X-Y,1/3-Y,1/3-Z
2/3-X,1/3+Y-X,1/3-Z
2/3-X,1/3-Y,1/3-Z
2/3+Y,1/3+Y-X,1/3-Z
2/3+X-Y,1/3+X,1/3-Z
2/3-Y,1/3-X,1/3+Z
2/3+Y-X,1/3+Y,1/3+Z
2/3+X,1/3+X-Y,1/3+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3+Y,2/3+X,2/3-Z
1/3+X-Y,2/3-Y,2/3-Z
1/3-X,2/3+Y-X,2/3-Z
1/3-X,2/3-Y,2/3-Z
1/3+Y,2/3+Y-X,2/3-Z
1/3+X-Y,2/3+X,2/3-Z
1/3-Y,2/3-X,2/3+Z
1/3+Y-X,2/3+Y,2/3+Z
1/3+X,2/3+X-Y,2/3+Z
/167 36 12 R-3c PG3barm TRIGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
2/3+X,1/3+Y,1/3+Z
2/3-Y,1/3+X-Y,1/3+Z
2/3+Y-X,1/3-X,1/3+Z
2/3+Y,1/3+X,5/6-Z
2/3+X-Y,1/3-Y,5/6-Z
2/3-X,1/3+Y-X,5/6-Z
2/3-X,1/3-Y,1/3-Z
2/3+Y,1/3+Y-X,1/3-Z
2/3+X-Y,1/3+X,1/3-Z
2/3-Y,1/3-X,5/6+Z
2/3+Y-X,1/3+Y,5/6+Z
2/3+X,1/3+X-Y,5/6+Z
1/3+X,2/3+Y,2/3+Z
1/3-Y,2/3+X-Y,2/3+Z
1/3+Y-X,2/3-X,2/3+Z
1/3+Y,2/3+X,1/6-Z
1/3+X-Y,2/3-Y,1/6-Z
1/3-X,2/3+Y-X,1/6-Z
1/3-X,2/3-Y,2/3-Z
1/3+Y,2/3+Y-X,2/3-Z
1/3+X-Y,2/3+X,2/3-Z
1/3-Y,2/3-X,1/6+Z
1/3+Y-X,2/3+Y,1/6+Z
1/3+X,2/3+X-Y,1/6+Z
/168 6 6 P6 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
/169 6 6 P61 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z+1/3
Y-X,-X,Z+2/3
-X,-Y,Z+1/2
Y,Y-X,Z+5/6
X-Y,X,Z+1/6
/170 6 6 P65 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z+2/3
Y-X,-X,Z+1/3
-X,-Y,Z+1/2
Y,Y-X,Z+1/6
X-Y,X,Z+5/6
/171 6 6 P62 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-X,-Y,Z
Y,Y-X,2/3+Z
X-Y,X,1/3+Z
/172 6 6 P64 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-X,-Y,Z
Y,Y-X,1/3+Z
X-Y,X,2/3+Z
/173 6 6 P63 PG6 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
/174 6 6 P-6 PG6bar HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
/175 12 12 P6/m PG6/m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
/176 12 12 P63/m PG6/m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,1/2-Z
-Y,X-Y,1/2-Z
Y-X,-X,1/2-Z
/177 12 12 P622 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/178 12 12 P6122 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-X,-Y,1/2+Z
Y,Y-X,5/6+Z
X-Y,X,1/6+Z
Y,X,1/3-Z
X-Y,-Y,-Z
-X,Y-X,2/3-Z
-Y,-X,5/6-Z
Y-X,Y,1/2-Z
X,X-Y,1/6-Z
/179 12 12 P6522 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-X,-Y,1/2+Z
Y,Y-X,1/6+Z
X-Y,X,5/6+Z
Y,X,2/3-Z
X-Y,-Y,-Z
-X,Y-X,1/3-Z
-Y,-X,1/6-Z
Y-X,Y,1/2-Z
X,X-Y,5/6-Z
/180 12 12 P6222 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,2/3+Z
Y-X,-X,1/3+Z
-X,-Y,Z
Y,Y-X,2/3+Z
X-Y,X,1/3+Z
Y,X,2/3-Z
X-Y,-Y,-Z
-X,Y-X,1/3-Z
-Y,-X,2/3-Z
Y-X,Y,-Z
X,X-Y,1/3-Z
/181 12 12 P6422 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,1/3+Z
Y-X,-X,2/3+Z
-X,-Y,Z
Y,Y-X,1/3+Z
X-Y,X,2/3+Z
Y,X,1/3-Z
X-Y,-Y,-Z
-X,Y-X,2/3-Z
-Y,-X,1/3-Z
Y-X,Y,-Z
X,X-Y,2/3-Z
/182 12 12 P6322 PG622 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
/183 12 12 P6mm PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/184 12 12 P6cc PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/185 12 12 P63cm PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/186 12 12 P63mc PG6mm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/187 12 12 P-6m2 PG6barm2 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/188 12 12 P-6c2 PG6barm2 HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,1/2-Z
-Y,X-Y,1/2-Z
Y-X,-X,1/2-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
/189 12 12 P-62m PG6bar2m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,-Z
-Y,X-Y,-Z
Y-X,-X,-Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/190 12 12 P-62c PG6bar2m HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X,Y,1/2-Z
-Y,X-Y,1/2-Z
Y-X,-X,1/2-Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/191 24 24 P6/mmm PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,-Z
Y-X,-X,-Z
-Y,X-Y,-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/192 24 24 P6/mcc PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,Z
Y,Y-X,Z
X-Y,X,Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,-Z
Y-X,-X,-Z
-Y,X-Y,-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/193 24 24 P63/mcm PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
Y,X,1/2-Z
X-Y,-Y,1/2-Z
-X,Y-X,1/2-Z
-Y,-X,-Z
Y-X,Y,-Z
X,X-Y,-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,1/2-Z
Y-X,-X,1/2-Z
-Y,X-Y,1/2-Z
-Y,-X,1/2+Z
Y-X,Y,1/2+Z
X,X-Y,1/2+Z
Y,X,Z
X-Y,-Y,Z
-X,Y-X,Z
/194 24 24 P63/mmc PG6/mmm HEXAGONAL
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
-X,-Y,1/2+Z
Y,Y-X,1/2+Z
X-Y,X,1/2+Z
Y,X,-Z
X-Y,-Y,-Z
-X,Y-X,-Z
-Y,-X,1/2-Z
Y-X,Y,1/2-Z
X,X-Y,1/2-Z
-X,-Y,-Z
Y,Y-X,-Z
X-Y,X,-Z
X,Y,1/2-Z
Y-X,-X,1/2-Z
-Y,X-Y,1/2-Z
-Y,-X,Z
Y-X,Y,Z
X,X-Y,Z
Y,X,1/2+Z
X-Y,-Y,1/2+Z
-X,Y-X,1/2+Z
/195 12 12 P23 PG23 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
/196 48 12 F23 PG23 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
Z,1/2+X,1/2+Y
Z,1/2-X,1/2-Y
-Z,1/2-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,1/2+Z,1/2+X
-Y,1/2+Z,1/2-X
Y,1/2-Z,1/2-X
-Y,1/2-Z,1/2+X
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+Z,X,1/2+Y
1/2+Z,-X,1/2-Y
1/2-Z,-X,1/2+Y
1/2-Z,X,1/2-Y
1/2+Y,Z,1/2+X
1/2-Y,Z,1/2-X
1/2+Y,-Z,1/2-X
1/2-Y,-Z,1/2+X
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Z,1/2+X,Y
1/2+Z,1/2-X,-Y
1/2-Z,1/2-X,Y
1/2-Z,1/2+X,-Y
1/2+Y,1/2+Z,X
1/2-Y,1/2+Z,-X
1/2+Y,1/2-Z,-X
1/2-Y,1/2-Z,X
/197 24 12 I23 PG23 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
1/2+Z,1/2-X,1/2-Y
1/2-Z,1/2-X,1/2+Y
1/2-Z,1/2+X,1/2-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,1/2-X
1/2-Y,1/2-Z,1/2+X
/198 12 12 P213 PG23 CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
/199 24 12 I213 PG23 CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
Z,-X,1/2-Y
-Z,1/2-X,Y
1/2-Z,X,-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,Z,-X
Y,-Z,1/2-X
-Y,1/2-Z,X
/200 24 24 Pm-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
-Z,-X,-Y
-Z,X,Y
Z,X,-Y
Z,-X,Y
-Y,-Z,-X
Y,-Z,X
-Y,Z,X
Y,Z,-X
/201 24 24 Pn-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
1/2-Z,1/2+X,1/2+Y
1/2+Z,1/2+X,1/2-Y
1/2+Z,1/2-X,1/2+Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,1/2+X
1/2+Y,1/2+Z,1/2-X
/202 96 24 Fm-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
-Z,-X,-Y
-Z,X,Y
Z,X,-Y
Z,-X,Y
-Y,-Z,-X
Y,-Z,X
-Y,Z,X
Y,Z,-X
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
Z,1/2+X,1/2+Y
Z,1/2-X,1/2-Y
-Z,1/2-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,1/2+Z,1/2+X
-Y,1/2+Z,1/2-X
Y,1/2-Z,1/2-X
-Y,1/2-Z,1/2+X
-X,1/2-Y,1/2-Z
X,1/2+Y,1/2-Z
X,1/2-Y,1/2+Z
-X,1/2+Y,1/2+Z
-Z,1/2-X,1/2-Y
-Z,1/2+X,1/2+Y
Z,1/2+X,1/2-Y
Z,1/2-X,1/2+Y
-Y,1/2-Z,1/2-X
Y,1/2-Z,1/2+X
-Y,1/2+Z,1/2+X
Y,1/2+Z,1/2-X
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+Z,X,1/2+Y
1/2+Z,-X,1/2-Y
1/2-Z,-X,1/2+Y
1/2-Z,X,1/2-Y
1/2+Y,Z,1/2+X
1/2-Y,Z,1/2-X
1/2+Y,-Z,1/2-X
1/2-Y,-Z,1/2+X
1/2-X,-Y,1/2-Z
1/2+X,Y,1/2-Z
1/2+X,-Y,1/2+Z
1/2-X,Y,1/2+Z
1/2-Z,-X,1/2-Y
1/2-Z,X,1/2+Y
1/2+Z,X,1/2-Y
1/2+Z,-X,1/2+Y
1/2-Y,-Z,1/2-X
1/2+Y,-Z,1/2+X
1/2-Y,Z,1/2+X
1/2+Y,Z,1/2-X
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Z,1/2+X,Y
1/2+Z,1/2-X,-Y
1/2-Z,1/2-X,Y
1/2-Z,1/2+X,-Y
1/2+Y,1/2+Z,X
1/2-Y,1/2+Z,-X
1/2+Y,1/2-Z,-X
1/2-Y,1/2-Z,X
1/2-X,1/2-Y,-Z
1/2+X,1/2+Y,-Z
1/2+X,1/2-Y,Z
1/2-X,1/2+Y,Z
1/2-Z,1/2-X,-Y
1/2-Z,1/2+X,Y
1/2+Z,1/2+X,-Y
1/2+Z,1/2-X,Y
1/2-Y,1/2-Z,-X
1/2+Y,1/2-Z,X
1/2-Y,1/2+Z,X
1/2+Y,1/2+Z,-X
/203 96 24 Fd-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
1/4-X,1/4-Y,1/4-Z
1/4+X,1/4+Y,1/4-Z
1/4+X,1/4-Y,1/4+Z
1/4-X,1/4+Y,1/4+Z
1/4-Z,1/4-X,1/4-Y
1/4-Z,1/4+X,1/4+Y
1/4+Z,1/4+X,1/4-Y
1/4+Z,1/4-X,1/4+Y
1/4-Y,1/4-Z,1/4-X
1/4+Y,1/4-Z,1/4+X
1/4-Y,1/4+Z,1/4+X
1/4+Y,1/4+Z,1/4-X
X,1/2+Y,1/2+Z
-X,1/2-Y,1/2+Z
-X,1/2+Y,1/2-Z
X,1/2-Y,1/2-Z
Z,1/2+X,1/2+Y
Z,1/2-X,1/2-Y
-Z,1/2-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,1/2+Z,1/2+X
-Y,1/2+Z,1/2-X
Y,1/2-Z,1/2-X
-Y,1/2-Z,1/2+X
1/4-X,3/4-Y,3/4-Z
1/4+X,3/4+Y,3/4-Z
1/4+X,3/4-Y,3/4+Z
1/4-X,3/4+Y,3/4+Z
1/4-Z,3/4-X,3/4-Y
1/4-Z,3/4+X,3/4+Y
1/4+Z,3/4+X,3/4-Y
1/4+Z,3/4-X,3/4+Y
1/4-Y,3/4-Z,3/4-X
1/4+Y,3/4-Z,3/4+X
1/4-Y,3/4+Z,3/4+X
1/4+Y,3/4+Z,3/4-X
1/2+X,Y,1/2+Z
1/2-X,-Y,1/2+Z
1/2-X,Y,1/2-Z
1/2+X,-Y,1/2-Z
1/2+Z,X,1/2+Y
1/2+Z,-X,1/2-Y
1/2-Z,-X,1/2+Y
1/2-Z,X,1/2-Y
1/2+Y,Z,1/2+X
1/2-Y,Z,1/2-X
1/2+Y,-Z,1/2-X
1/2-Y,-Z,1/2+X
3/4-X,1/4-Y,3/4-Z
3/4+X,1/4+Y,3/4-Z
3/4+X,1/4-Y,3/4+Z
3/4-X,1/4+Y,3/4+Z
3/4-Z,1/4-X,3/4-Y
3/4-Z,1/4+X,3/4+Y
3/4+Z,1/4+X,3/4-Y
3/4+Z,1/4-X,3/4+Y
3/4-Y,1/4-Z,3/4-X
3/4+Y,1/4-Z,3/4+X
3/4-Y,1/4+Z,3/4+X
3/4+Y,1/4+Z,3/4-X
1/2+X,1/2+Y,Z
1/2-X,1/2-Y,Z
1/2-X,1/2+Y,-Z
1/2+X,1/2-Y,-Z
1/2+Z,1/2+X,Y
1/2+Z,1/2-X,-Y
1/2-Z,1/2-X,Y
1/2-Z,1/2+X,-Y
1/2+Y,1/2+Z,X
1/2-Y,1/2+Z,-X
1/2+Y,1/2-Z,-X
1/2-Y,1/2-Z,X
3/4-X,3/4-Y,1/4-Z
3/4+X,3/4+Y,1/4-Z
3/4+X,3/4-Y,Z+1/4
3/4-X,3/4+Y,Z+1/4
3/4-Z,3/4-X,1/4-Y
3/4-Z,3/4+X,1/4+Y
3/4+Z,3/4+X,1/4-Y
3/4+Z,3/4-X,1/4+Y
3/4-Y,3/4-Z,1/4-X
3/4+Y,3/4-Z,1/4+X
3/4-Y,3/4+Z,1/4+X
3/4+Y,3/4+Z,1/4-X
/204 48 24 Im-3 PGm3bar CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
-Y,Z,-X
Y,-Z,-X
-Y,-Z,X
-X,-Y,-Z
X,Y,-Z
X,-Y,Z
-X,Y,Z
-Z,-X,-Y
-Z,X,Y
Z,X,-Y
Z,-X,Y
-Y,-Z,-X
Y,-Z,X
-Y,Z,X
Y,Z,-X
1/2+X,1/2+Y,1/2+Z
1/2-X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
1/2+Z,1/2-X,1/2-Y
1/2-Z,1/2-X,1/2+Y
1/2-Z,1/2+X,1/2-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,1/2-X
1/2-Y,1/2-Z,1/2+X
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
1/2-Z,1/2+X,1/2+Y
1/2+Z,1/2+X,1/2-Y
1/2+Z,1/2-X,1/2+Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,1/2+X
1/2+Y,1/2+Z,1/2-X
/205 24 24 Pa-3 PGm3bar CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
-Z,-X,-Y
1/2-Z,1/2+X,Y
1/2+Z,X,1/2-Y
Z,1/2-X,1/2+Y
-Y,-Z,-X
Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,X
1/2+Y,Z,1/2-X
/206 48 24 Ia-3 PGm3bar CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
-Z,-X,-Y
1/2-Z,1/2+X,Y
1/2+Z,X,1/2-Y
Z,1/2-X,1/2+Y
-Y,-Z,-X
Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,X
1/2+Y,Z,1/2-X
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,+Y,-Z
X,-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
Z,-X,1/2-Y
-Z,1/2-X,Y
1/2-Z,X,-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,Z,-X
Y,-Z,1/2-X
-Y,1/2-Z,X
1/2-X,1/2-Y,1/2-Z
X,1/2+Y,-Z
1/2+X,-Y,Z
-X,Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
-Z,X,1/2+Y
Z,1/2+X,-Y
1/2+Z,-X,Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,-Z,X
-Y,Z,1/2+X
Y,1/2+Z,-X
/207 24 24 P432 PG432 CUBIC
X,Y,Z
-X,-Y,Z
-X,Y,-Z
X,-Y,-Z
Z,X,Y
Z,-X,-Y
-Z,-X,Y
-Z,X,-Y
Y,Z,X
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1/2+X,1/2+Z,1/2-Y
1/2-X,1/2+Z,1/2+Y
1/2-X,1/2-Z,1/2-Y
1/2+X,1/2-Z,1/2+Y
1/2+Z,1/2+Y,1/2-X
1/2+Z,1/2-Y,1/2+X
1/2-Z,1/2+Y,1/2+X
1/2-Z,1/2-Y,1/2-X
1/2-X,1/2-Y,1/2-Z
1/2+X,1/2+Y,1/2-Z
1/2+X,1/2-Y,1/2+Z
1/2-X,1/2+Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
1/2-Z,1/2+X,1/2+Y
1/2+Z,1/2+X,1/2-Y
1/2+Z,1/2-X,1/2+Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,1/2+X
1/2+Y,1/2+Z,1/2-X
1/2-Y,1/2-X,1/2+Z
1/2+Y,1/2+X,1/2+Z
1/2-Y,1/2+X,1/2-Z
1/2+Y,1/2-X,1/2-Z
1/2-X,1/2-Z,1/2+Y
1/2+X,1/2-Z,1/2-Y
1/2+X,1/2+Z,1/2+Y
1/2-X,1/2+Z,1/2-Y
1/2-Z,1/2-Y,1/2+X
1/2-Z,1/2+Y,1/2-X
1/2+Z,1/2-Y,1/2-X
1/2+Z,1/2+Y,1/2+X
/230 96 48 Ia-3d PGm3barm CUBIC
X,Y,Z
1/2-X,-Y,1/2+Z
-X,1/2+Y,1/2-Z
1/2+X,1/2-Y,-Z
Z,X,Y
1/2+Z,1/2-X,-Y
1/2-Z,-X,1/2+Y
-Z,1/2+X,1/2-Y
Y,Z,X
-Y,1/2+Z,1/2-X
1/2+Y,1/2-Z,-X
1/2-Y,-Z,1/2+X
3/4+Y,1/4+X,1/4-Z
3/4-Y,3/4-X,3/4-Z
1/4+Y,1/4-X,3/4+Z
1/4-Y,3/4+X,1/4+Z
3/4+X,1/4+Z,1/4-Y
1/4-X,3/4+Z,1/4+Y
3/4-X,3/4-Z,3/4-Y
1/4+X,1/4-Z,3/4+Y
3/4+Z,1/4+Y,1/4-X
1/4+Z,1/4-Y,3/4+X
1/4-Z,3/4+Y,1/4+X
3/4-Z,3/4-Y,3/4-X
-X,-Y,-Z
1/2+X,Y,1/2-Z
X,1/2-Y,1/2+Z
1/2-X,1/2+Y,Z
-Z,-X,-Y
1/2-Z,1/2+X,Y
1/2+Z,X,1/2-Y
Z,1/2-X,1/2+Y
-Y,-Z,-X
Y,1/2-Z,1/2+X
1/2-Y,1/2+Z,X
1/2+Y,Z,1/2-X
1/4-Y,3/4-X,3/4+Z
1/4+Y,1/4+X,1/4+Z
3/4-Y,3/4+X,1/4-Z
3/4+Y,1/4-X,3/4-Z
1/4-X,3/4-Z,3/4+Y
3/4+X,1/4-Z,3/4-Y
1/4+X,1/4+Z,1/4+Y
3/4-X,3/4+Z,1/4-Y
1/4-Z,3/4-Y,3/4+X
3/4-Z,3/4+Y,1/4-X
3/4+Z,1/4-Y,3/4-X
1/4+Z,1/4+Y,1/4+X
1/2+X,1/2+Y,1/2+Z
-X,1/2-Y,Z
1/2-X,Y,-Z
X,-Y,1/2-Z
1/2+Z,1/2+X,1/2+Y
Z,-X,1/2-Y
-Z,1/2-X,Y
1/2-Z,X,-Y
1/2+Y,1/2+Z,1/2+X
1/2-Y,Z,-X
Y,-Z,1/2-X
-Y,1/2-Z,X
1/4+Y,3/4+X,3/4-Z
1/4-Y,1/4-X,1/4-Z
3/4+Y,3/4-X,1/4+Z
3/4-Y,1/4+X,3/4+Z
1/4+X,3/4+Z,3/4-Y
3/4-X,1/4+Z,3/4+Y
1/4-X,1/4-Z,1/4-Y
3/4+X,3/4-Z,1/4+Y
1/4+Z,3/4+Y,3/4-X
3/4+Z,3/4-Y,1/4+X
3/4-Z,1/4+Y,3/4+X
1/4-Z,1/4-Y,1/4-X
1/2-X,1/2-Y,1/2-Z
X,1/2+Y,-Z
1/2+X,-Y,Z
-X,Y,1/2+Z
1/2-Z,1/2-X,1/2-Y
-Z,X,1/2+Y
Z,1/2+X,-Y
1/2+Z,-X,Y
1/2-Y,1/2-Z,1/2-X
1/2+Y,-Z,X
-Y,Z,1/2+X
Y,1/2+Z,-X
3/4-Y,1/4-X,1/4+Z
3/4+Y,3/4+X,3/4+Z
1/4-Y,1/4+X,3/4-Z
1/4+Y,3/4-X,1/4-Z
3/4-X,1/4-Z,1/4+Y
1/4+X,3/4-Z,1/4-Y
3/4+X,3/4+Z,3/4+Y
1/4-X,1/4+Z,3/4-Y
3/4-Z,1/4-Y,1/4+X
1/4-Z,1/4+Y,3/4-X
1/4+Z,3/4-Y,1/4-X
3/4+Z,3/4+Y,3/4+X
/999 96 48 Ia-3d H 3
X,Y,Z
-Y,X-Y,Z
Y-X,-X,Z
X+2/3,Y+1/3,Z+1/3
-Y+2/3,X-Y+1/3,Z+1/3
Y-X+2/3,-X+1/3,Z+1/3
X+1/3,Y+2/3,Z+2/3
-Y+1/3,X-Y+2/3,Z+2/3
Y-X+1/3,-X+2/3,Z+2/3