Space Group information list (number, origin choice, etc...)

Space Group  1  C1^1  P1   P 1
Space Group  2  Ci^1  P-1  -P 1
Space Group  3:b  C2^1  P2:b = P121   P 2y
Space Group  3:c  C2^1  P2:c = P112   P 2
Space Group  3:a  C2^1  P2:a = P211   P 2x
Space Group  4:b  C2^2  P21:b = P1211   P 2yb
Space Group  4:c  C2^2  P21:c = P1121   P 2c
Space Group  4:a  C2^2  P21:a = P2111   P 2xa
Space Group  5:b1  C2^3  C2:b1 = C121   C 2y
Space Group  5:b2  C2^3  C2:b2 = A121   A 2y
Space Group  5:b3  C2^3  C2:b3 = I121   I 2y
Space Group  5:c1  C2^3  C2:c1 = A112   A 2
Space Group  5:c2  C2^3  C2:c2 = B112 = B2   B 2
Space Group  5:c3  C2^3  C2:c3 = I112   I 2
Space Group  5:a1  C2^3  C2:a1 = B211   B 2x
Space Group  5:a2  C2^3  C2:a2 = C211   C 2x
Space Group  5:a3  C2^3  C2:a3 = I211   I 2x
Space Group  6:b  Cs^1  Pm:b = P1m1   P -2y
Space Group  6:c  Cs^1  Pm:c = P11m   P -2
Space Group  6:a  Cs^1  Pm:a = Pm11   P -2x
Space Group  7:b1  Cs^2  Pc:b1 = P1c1   P -2yc
Space Group  7:b2  Cs^2  Pc:b2 = P1n1   P -2yac
Space Group  7:b3  Cs^2  Pc:b3 = P1a1   P -2ya
Space Group  7:c1  Cs^2  Pc:c1 = P11a   P -2a
Space Group  7:c2  Cs^2  Pc:c2 = P11n   P -2ab
Space Group  7:c3  Cs^2  Pc:c3 = P11b = Pb   P -2b
Space Group  7:a1  Cs^2  Pc:a1 = Pb11   P -2xb
Space Group  7:a2  Cs^2  Pc:a2 = Pn11   P -2xbc
Space Group  7:a3  Cs^2  Pc:a3 = Pc11   P -2xc
Space Group  8:b1  Cs^3  Cm:b1 = C1m1   C -2y
Space Group  8:b2  Cs^3  Cm:b2 = A1m1   A -2y
Space Group  8:b3  Cs^3  Cm:b3 = I1m1   I -2y
Space Group  8:c1  Cs^3  Cm:c1 = A11m   A -2
Space Group  8:c2  Cs^3  Cm:c2 = B11m = Bm   B -2
Space Group  8:c3  Cs^3  Cm:c3 = I11m   I -2
Space Group  8:a1  Cs^3  Cm:a1 = Bm11   B -2x
Space Group  8:a2  Cs^3  Cm:a2 = Cm11   C -2x
Space Group  8:a3  Cs^3  Cm:a3 = Im11   I -2x
Space Group  9:b1  Cs^4  Cc:b1 = C1c1   C -2yc
Space Group  9:b2  Cs^4  Cc:b2 = A1n1   A -2yac
Space Group  9:b3  Cs^4  Cc:b3 = I1a1   I -2ya
Space Group  9:-b1  Cs^4  Cc:-b1 = A1a1   A -2ya
Space Group  9:-b2  Cs^4  Cc:-b2 = C1n1   C -2ybc
Space Group  9:-b3  Cs^4  Cc:-b3 = I1c1   I -2yc
Space Group  9:c1  Cs^4  Cc:c1 = A11a   A -2a
Space Group  9:c2  Cs^4  Cc:c2 = B11n   B -2bc
Space Group  9:c3  Cs^4  Cc:c3 = I11b   I -2b
Space Group  9:-c1  Cs^4  Cc:-c1 = B11b = Bb   B -2b
Space Group  9:-c2  Cs^4  Cc:-c2 = A11n   A -2ac
Space Group  9:-c3  Cs^4  Cc:-c3 = I11a   I -2a
Space Group  9:a1  Cs^4  Cc:a1 = Bb11   B -2xb
Space Group  9:a2  Cs^4  Cc:a2 = Cn11   C -2xbc
Space Group  9:a3  Cs^4  Cc:a3 = Ic11   I -2xc
Space Group  9:-a1  Cs^4  Cc:-a1 = Cc11   C -2xc
Space Group  9:-a2  Cs^4  Cc:-a2 = Bn11   B -2xbc
Space Group  9:-a3  Cs^4  Cc:-a3 = Ib11   I -2xb
Space Group  10:b  C2h^1  P2/m:b = P12/m1  -P 2y
Space Group  10:c  C2h^1  P2/m:c = P112/m  -P 2
Space Group  10:a  C2h^1  P2/m:a = P2/m11  -P 2x
Space Group  11:b  C2h^2  P21/m:b = P121/m1  -P 2yb
Space Group  11:c  C2h^2  P21/m:c = P1121/m  -P 2c
Space Group  11:a  C2h^2  P21/m:a = P21/m11  -P 2xa
Space Group  12:b1  C2h^3  C2/m:b1 = C12/m1  -C 2y
Space Group  12:b2  C2h^3  C2/m:b2 = A12/m1  -A 2y
Space Group  12:b3  C2h^3  C2/m:b3 = I12/m1  -I 2y
Space Group  12:c1  C2h^3  C2/m:c1 = A112/m  -A 2
Space Group  12:c2  C2h^3  C2/m:c2 = B112/m = B2/m  -B 2
Space Group  12:c3  C2h^3  C2/m:c3 = I112/m  -I 2
Space Group  12:a1  C2h^3  C2/m:a1 = B2/m11  -B 2x
Space Group  12:a2  C2h^3  C2/m:a2 = C2/m11  -C 2x
Space Group  12:a3  C2h^3  C2/m:a3 = I2/m11  -I 2x
Space Group  13:b1  C2h^4  P2/c:b1 = P12/c1  -P 2yc
Space Group  13:b2  C2h^4  P2/c:b2 = P12/n1  -P 2yac
Space Group  13:b3  C2h^4  P2/c:b3 = P12/a1  -P 2ya
Space Group  13:c1  C2h^4  P2/c:c1 = P112/a  -P 2a
Space Group  13:c2  C2h^4  P2/c:c2 = P112/n  -P 2ab
Space Group  13:c3  C2h^4  P2/c:c3 = P112/b = P2/b  -P 2b
Space Group  13:a1  C2h^4  P2/c:a1 = P2/b11  -P 2xb
Space Group  13:a2  C2h^4  P2/c:a2 = P2/n11  -P 2xbc
Space Group  13:a3  C2h^4  P2/c:a3 = P2/c11  -P 2xc
Space Group  14:b1  C2h^5  P21/c:b1 = P121/c1  -P 2ybc
Space Group  14:b2  C2h^5  P21/c:b2 = P121/n1  -P 2yn
Space Group  14:b3  C2h^5  P21/c:b3 = P121/a1  -P 2yab
Space Group  14:c1  C2h^5  P21/c:c1 = P1121/a  -P 2ac
Space Group  14:c2  C2h^5  P21/c:c2 = P1121/n  -P 2n
Space Group  14:c3  C2h^5  P21/c:c3 = P1121/b = P21/b  -P 2bc
Space Group  14:a1  C2h^5  P21/c:a1 = P21/b11  -P 2xab
Space Group  14:a2  C2h^5  P21/c:a2 = P21/n11  -P 2xn
Space Group  14:a3  C2h^5  P21/c:a3 = P21/c11  -P 2xac
Space Group  15:b1  C2h^6  C2/c:b1 = C12/c1  -C 2yc
Space Group  15:b2  C2h^6  C2/c:b2 = A12/n1  -A 2yac
Space Group  15:b3  C2h^6  C2/c:b3 = I12/a1  -I 2ya
Space Group  15:-b1  C2h^6  C2/c:-b1 = A12/a1  -A 2ya
Space Group  15:-b2  C2h^6  C2/c:-b2 = C12/n1  -C 2ybc
Space Group  15:-b3  C2h^6  C2/c:-b3 = I12/c1  -I 2yc
Space Group  15:c1  C2h^6  C2/c:c1 = A112/a  -A 2a
Space Group  15:c2  C2h^6  C2/c:c2 = B112/n  -B 2bc
Space Group  15:c3  C2h^6  C2/c:c3 = I112/b  -I 2b
Space Group  15:-c1  C2h^6  C2/c:-c1 = B112/b = B2/b  -B 2b
Space Group  15:-c2  C2h^6  C2/c:-c2 = A112/n  -A 2ac
Space Group  15:-c3  C2h^6  C2/c:-c3 = I112/a  -I 2a
Space Group  15:a1  C2h^6  C2/c:a1 = B2/b11  -B 2xb
Space Group  15:a2  C2h^6  C2/c:a2 = C2/n11  -C 2xbc
Space Group  15:a3  C2h^6  C2/c:a3 = I2/c11  -I 2xc
Space Group  15:-a1  C2h^6  C2/c:-a1 = C2/c11  -C 2xc
Space Group  15:-a2  C2h^6  C2/c:-a2 = B2/n11  -B 2xbc
Space Group  15:-a3  C2h^6  C2/c:-a3 = I2/b11  -I 2xb
Space Group  16  D2^1  P222   P 2 2
Space Group  17  D2^2  P2221   P 2c 2
Space Group  17:cab  D2^2  P2122   P 2a 2a
Space Group  17:bca  D2^2  P2212   P 2 2b
Space Group  18  D2^3  P21212   P 2 2ab
Space Group  18:cab  D2^3  P22121   P 2bc 2
Space Group  18:bca  D2^3  P21221   P 2ac 2ac
Space Group  19  D2^4  P212121   P 2ac 2ab
Space Group  20  D2^5  C2221   C 2c 2
Space Group  20:cab  D2^5  A2122   A 2a 2a
Space Group  20:bca  D2^5  B2212   B 2 2b
Space Group  21  D2^6  C222   C 2 2
Space Group  21:cab  D2^6  A222   A 2 2
Space Group  21:bca  D2^6  B222   B 2 2
Space Group  22  D2^7  F222   F 2 2
Space Group  23  D2^8  I222   I 2 2
Space Group  24  D2^9  I212121   I 2b 2c
Space Group  25  C2v^1  Pmm2   P 2 -2
Space Group  25:cab  C2v^1  P2mm   P -2 2
Space Group  25:bca  C2v^1  Pm2m   P -2 -2
Space Group  26  C2v^2  Pmc21   P 2c -2
Space Group  26:ba-c  C2v^2  Pcm21   P 2c -2c
Space Group  26:cab  C2v^2  P21ma   P -2a 2a
Space Group  26:-cba  C2v^2  P21am   P -2 2a
Space Group  26:bca  C2v^2  Pb21m   P -2 -2b
Space Group  26:a-cb  C2v^2  Pm21b   P -2b -2
Space Group  27  C2v^3  Pcc2   P 2 -2c
Space Group  27:cab  C2v^3  P2aa   P -2a 2
Space Group  27:bca  C2v^3  Pb2b   P -2b -2b
Space Group  28  C2v^4  Pma2   P 2 -2a
Space Group  28:ba-c  C2v^4  Pbm2   P 2 -2b
Space Group  28:cab  C2v^4  P2mb   P -2b 2
Space Group  28:-cba  C2v^4  P2cm   P -2c 2
Space Group  28:bca  C2v^4  Pc2m   P -2c -2c
Space Group  28:a-cb  C2v^4  Pm2a   P -2a -2a
Space Group  29  C2v^5  Pca21   P 2c -2ac
Space Group  29:ba-c  C2v^5  Pbc21   P 2c -2b
Space Group  29:cab  C2v^5  P21ab   P -2b 2a
Space Group  29:-cba  C2v^5  P21ca   P -2ac 2a
Space Group  29:bca  C2v^5  Pc21b   P -2bc -2c
Space Group  29:a-cb  C2v^5  Pb21a   P -2a -2ab
Space Group  30  C2v^6  Pnc2   P 2 -2bc
Space Group  30:ba-c  C2v^6  Pcn2   P 2 -2ac
Space Group  30:cab  C2v^6  P2na   P -2ac 2
Space Group  30:-cba  C2v^6  P2an   P -2ab 2
Space Group  30:bca  C2v^6  Pb2n   P -2ab -2ab
Space Group  30:a-cb  C2v^6  Pn2b   P -2bc -2bc
Space Group  31  C2v^7  Pmn21   P 2ac -2
Space Group  31:ba-c  C2v^7  Pnm21   P 2bc -2bc
Space Group  31:cab  C2v^7  P21mn   P -2ab 2ab
Space Group  31:-cba  C2v^7  P21nm   P -2 2ac
Space Group  31:bca  C2v^7  Pn21m   P -2 -2bc
Space Group  31:a-cb  C2v^7  Pm21n   P -2ab -2
Space Group  32  C2v^8  Pba2   P 2 -2ab
Space Group  32:cab  C2v^8  P2cb   P -2bc 2
Space Group  32:bca  C2v^8  Pc2a   P -2ac -2ac
Space Group  33  C2v^9  Pna21   P 2c -2n
Space Group  33:ba-c  C2v^9  Pbn21   P 2c -2ab
Space Group  33:cab  C2v^9  P21nb   P -2bc 2a
Space Group  33:-cba  C2v^9  P21cn   P -2n 2a
Space Group  33:bca  C2v^9  Pc21n   P -2n -2ac
Space Group  33:a-cb  C2v^9  Pn21a   P -2ac -2n
Space Group  34  C2v^10  Pnn2   P 2 -2n
Space Group  34:cab  C2v^10  P2nn   P -2n 2
Space Group  34:bca  C2v^10  Pn2n   P -2n -2n
Space Group  35  C2v^11  Cmm2   C 2 -2
Space Group  35:cab  C2v^11  A2mm   A -2 2
Space Group  35:bca  C2v^11  Bm2m   B -2 -2
Space Group  36  C2v^12  Cmc21   C 2c -2
Space Group  36:ba-c  C2v^12  Ccm21   C 2c -2c
Space Group  36:cab  C2v^12  A21ma   A -2a 2a
Space Group  36:-cba  C2v^12  A21am   A -2 2a
Space Group  36:bca  C2v^12  Bb21m   B -2 -2b
Space Group  36:a-cb  C2v^12  Bm21b   B -2b -2
Space Group  37  C2v^13  Ccc2   C 2 -2c
Space Group  37:cab  C2v^13  A2aa   A -2a 2
Space Group  37:bca  C2v^13  Bb2b   B -2b -2b
Space Group  38  C2v^14  Amm2   A 2 -2
Space Group  38:ba-c  C2v^14  Bmm2   B 2 -2
Space Group  38:cab  C2v^14  B2mm   B -2 2
Space Group  38:-cba  C2v^14  C2mm   C -2 2
Space Group  38:bca  C2v^14  Cm2m   C -2 -2
Space Group  38:a-cb  C2v^14  Am2m   A -2 -2
Space Group  39  C2v^15  Abm2   A 2 -2c
Space Group  39:ba-c  C2v^15  Bma2   B 2 -2c
Space Group  39:cab  C2v^15  B2cm   B -2c 2
Space Group  39:-cba  C2v^15  C2mb   C -2b 2
Space Group  39:bca  C2v^15  Cm2a   C -2b -2b
Space Group  39:a-cb  C2v^15  Ac2m   A -2c -2c
Space Group  40  C2v^16  Ama2   A 2 -2a
Space Group  40:ba-c  C2v^16  Bbm2   B 2 -2b
Space Group  40:cab  C2v^16  B2mb   B -2b 2
Space Group  40:-cba  C2v^16  C2cm   C -2c 2
Space Group  40:bca  C2v^16  Cc2m   C -2c -2c
Space Group  40:a-cb  C2v^16  Am2a   A -2a -2a
Space Group  41  C2v^17  Aba2   A 2 -2ac
Space Group  41:ba-c  C2v^17  Bba2   B 2 -2bc
Space Group  41:cab  C2v^17  B2cb   B -2bc 2
Space Group  41:-cba  C2v^17  C2cb   C -2bc 2
Space Group  41:bca  C2v^17  Cc2a   C -2bc -2bc
Space Group  41:a-cb  C2v^17  Ac2a   A -2ac -2ac
Space Group  42  C2v^18  Fmm2   F 2 -2
Space Group  42:cab  C2v^18  F2mm   F -2 2
Space Group  42:bca  C2v^18  Fm2m   F -2 -2
Space Group  43  C2v^19  Fdd2   F 2 -2d
Space Group  43:cab  C2v^19  F2dd   F -2d 2
Space Group  43:bca  C2v^19  Fd2d   F -2d -2d
Space Group  44  C2v^20  Imm2   I 2 -2
Space Group  44:cab  C2v^20  I2mm   I -2 2
Space Group  44:bca  C2v^20  Im2m   I -2 -2
Space Group  45  C2v^21  Iba2   I 2 -2c
Space Group  45:cab  C2v^21  I2cb   I -2a 2
Space Group  45:bca  C2v^21  Ic2a   I -2b -2b
Space Group  46  C2v^22  Ima2   I 2 -2a
Space Group  46:ba-c  C2v^22  Ibm2   I 2 -2b
Space Group  46:cab  C2v^22  I2mb   I -2b 2
Space Group  46:-cba  C2v^22  I2cm   I -2c 2
Space Group  46:bca  C2v^22  Ic2m   I -2c -2c
Space Group  46:a-cb  C2v^22  Im2a   I -2a -2a
Space Group  47  D2h^1  Pmmm  -P 2 2
Space Group  48:1  D2h^2  Pnnn:1   P 2 2 -1n
Space Group  48:2  D2h^2  Pnnn:2  -P 2ab 2bc
Space Group  49  D2h^3  Pccm  -P 2 2c
Space Group  49:cab  D2h^3  Pmaa  -P 2a 2
Space Group  49:bca  D2h^3  Pbmb  -P 2b 2b
Space Group  50:1  D2h^4  Pban:1   P 2 2 -1ab
Space Group  50:2  D2h^4  Pban:2  -P 2ab 2b
Space Group  50:1cab  D2h^4  Pncb:1   P 2 2 -1bc
Space Group  50:2cab  D2h^4  Pncb:2  -P 2b 2bc
Space Group  50:1bca  D2h^4  Pcna:1   P 2 2 -1ac
Space Group  50:2bca  D2h^4  Pcna:2  -P 2a 2c
Space Group  51  D2h^5  Pmma  -P 2a 2a
Space Group  51:ba-c  D2h^5  Pmmb  -P 2b 2
Space Group  51:cab  D2h^5  Pbmm  -P 2 2b
Space Group  51:-cba  D2h^5  Pcmm  -P 2c 2c
Space Group  51:bca  D2h^5  Pmcm  -P 2c 2
Space Group  51:a-cb  D2h^5  Pmam  -P 2 2a
Space Group  52  D2h^6  Pnna  -P 2a 2bc
Space Group  52:ba-c  D2h^6  Pnnb  -P 2b 2n
Space Group  52:cab  D2h^6  Pbnn  -P 2n 2b
Space Group  52:-cba  D2h^6  Pcnn  -P 2ab 2c
Space Group  52:bca  D2h^6  Pncn  -P 2ab 2n
Space Group  52:a-cb  D2h^6  Pnan  -P 2n 2bc
Space Group  53  D2h^7  Pmna  -P 2ac 2
Space Group  53:ba-c  D2h^7  Pnmb  -P 2bc 2bc
Space Group  53:cab  D2h^7  Pbmn  -P 2ab 2ab
Space Group  53:-cba  D2h^7  Pcnm  -P 2 2ac
Space Group  53:bca  D2h^7  Pncm  -P 2 2bc
Space Group  53:a-cb  D2h^7  Pman  -P 2ab 2
Space Group  54  D2h^8  Pcca  -P 2a 2ac
Space Group  54:ba-c  D2h^8  Pccb  -P 2b 2c
Space Group  54:cab  D2h^8  Pbaa  -P 2a 2b
Space Group  54:-cba  D2h^8  Pcaa  -P 2ac 2c
Space Group  54:bca  D2h^8  Pbcb  -P 2bc 2b
Space Group  54:a-cb  D2h^8  Pbab  -P 2b 2ab
Space Group  55  D2h^9  Pbam  -P 2 2ab
Space Group  55:cab  D2h^9  Pmcb  -P 2bc 2
Space Group  55:bca  D2h^9  Pcma  -P 2ac 2ac
Space Group  56  D2h^10  Pccn  -P 2ab 2ac
Space Group  56:cab  D2h^10  Pnaa  -P 2ac 2bc
Space Group  56:bca  D2h^10  Pbnb  -P 2bc 2ab
Space Group  57  D2h^11  Pbcm  -P 2c 2b
Space Group  57:ba-c  D2h^11  Pcam  -P 2c 2ac
Space Group  57:cab  D2h^11  Pmca  -P 2ac 2a
Space Group  57:-cba  D2h^11  Pmab  -P 2b 2a
Space Group  57:bca  D2h^11  Pbma  -P 2a 2ab
Space Group  57:a-cb  D2h^11  Pcmb  -P 2bc 2c
Space Group  58  D2h^12  Pnnm  -P 2 2n
Space Group  58:cab  D2h^12  Pmnn  -P 2n 2
Space Group  58:bca  D2h^12  Pnmn  -P 2n 2n
Space Group  59:1  D2h^13  Pmmn:1   P 2 2ab -1ab
Space Group  59:2  D2h^13  Pmmn:2  -P 2ab 2a
Space Group  59:1cab  D2h^13  Pnmm:1   P 2bc 2 -1bc
Space Group  59:2cab  D2h^13  Pnmm:2  -P 2c 2bc
Space Group  59:1bca  D2h^13  Pmnm:1   P 2ac 2ac -1ac
Space Group  59:2bca  D2h^13  Pmnm:2  -P 2c 2a
Space Group  60  D2h^14  Pbcn  -P 2n 2ab
Space Group  60:ba-c  D2h^14  Pcan  -P 2n 2c
Space Group  60:cab  D2h^14  Pnca  -P 2a 2n
Space Group  60:-cba  D2h^14  Pnab  -P 2bc 2n
Space Group  60:bca  D2h^14  Pbna  -P 2ac 2b
Space Group  60:a-cb  D2h^14  Pcnb  -P 2b 2ac
Space Group  61  D2h^15  Pbca  -P 2ac 2ab
Space Group  61:ba-c  D2h^15  Pcab  -P 2bc 2ac
Space Group  62  D2h^16  Pnma  -P 2ac 2n
Space Group  62:ba-c  D2h^16  Pmnb  -P 2bc 2a
Space Group  62:cab  D2h^16  Pbnm  -P 2c 2ab
Space Group  62:-cba  D2h^16  Pcmn  -P 2n 2ac
Space Group  62:bca  D2h^16  Pmcn  -P 2n 2a
Space Group  62:a-cb  D2h^16  Pnam  -P 2c 2n
Space Group  63  D2h^17  Cmcm  -C 2c 2
Space Group  63:ba-c  D2h^17  Ccmm  -C 2c 2c
Space Group  63:cab  D2h^17  Amma  -A 2a 2a
Space Group  63:-cba  D2h^17  Amam  -A 2 2a
Space Group  63:bca  D2h^17  Bbmm  -B 2 2b
Space Group  63:a-cb  D2h^17  Bmmb  -B 2b 2
Space Group  64  D2h^18  Cmca  -C 2bc 2
Space Group  64:ba-c  D2h^18  Ccmb  -C 2bc 2bc
Space Group  64:cab  D2h^18  Abma  -A 2ac 2ac
Space Group  64:-cba  D2h^18  Acam  -A 2 2ac
Space Group  64:bca  D2h^18  Bbcm  -B 2 2bc
Space Group  64:a-cb  D2h^18  Bmab  -B 2bc 2
Space Group  65  D2h^19  Cmmm  -C 2 2
Space Group  65:cab  D2h^19  Ammm  -A 2 2
Space Group  65:bca  D2h^19  Bmmm  -B 2 2
Space Group  66  D2h^20  Cccm  -C 2 2c
Space Group  66:cab  D2h^20  Amaa  -A 2a 2
Space Group  66:bca  D2h^20  Bbmb  -B 2b 2b
Space Group  67  D2h^21  Cmma  -C 2b 2
Space Group  67:ba-c  D2h^21  Cmmb  -C 2b 2b
Space Group  67:cab  D2h^21  Abmm  -A 2c 2c
Space Group  67:-cba  D2h^21  Acmm  -A 2 2c
Space Group  67:bca  D2h^21  Bmcm  -B 2 2c
Space Group  67:a-cb  D2h^21  Bmam  -B 2c 2
Space Group  68:1  D2h^22  Ccca:1   C 2 2 -1bc
Space Group  68:2  D2h^22  Ccca:2  -C 2b 2bc
Space Group  68:1ba-c  D2h^22  Cccb:1   C 2 2 -1bc
Space Group  68:2ba-c  D2h^22  Cccb:2  -C 2b 2c
Space Group  68:1cab  D2h^22  Abaa:1   A 2 2 -1ac
Space Group  68:2cab  D2h^22  Abaa:2  -A 2a 2c
Space Group  68:1-cba  D2h^22  Acaa:1   A 2 2 -1ac
Space Group  68:2-cba  D2h^22  Acaa:2  -A 2ac 2c
Space Group  68:1bca  D2h^22  Bbcb:1   B 2 2 -1bc
Space Group  68:2bca  D2h^22  Bbcb:2  -B 2bc 2b
Space Group  68:1a-cb  D2h^22  Bbab:1   B 2 2 -1bc
Space Group  68:2a-cb  D2h^22  Bbab:2  -B 2b 2bc
Space Group  69  D2h^23  Fmmm  -F 2 2
Space Group  70:1  D2h^24  Fddd:1   F 2 2 -1d
Space Group  70:2  D2h^24  Fddd:2  -F 2uv 2vw
Space Group  71  D2h^25  Immm  -I 2 2
Space Group  72  D2h^26  Ibam  -I 2 2c
Space Group  72:cab  D2h^26  Imcb  -I 2a 2
Space Group  72:bca  D2h^26  Icma  -I 2b 2b
Space Group  73  D2h^27  Ibca  -I 2b 2c
Space Group  73:ba-c  D2h^27  Icab  -I 2a 2b
Space Group  74  D2h^28  Imma  -I 2b 2
Space Group  74:ba-c  D2h^28  Immb  -I 2a 2a
Space Group  74:cab  D2h^28  Ibmm  -I 2c 2c
Space Group  74:-cba  D2h^28  Icmm  -I 2 2b
Space Group  74:bca  D2h^28  Imcm  -I 2 2a
Space Group  74:a-cb  D2h^28  Imam  -I 2c 2
Space Group  75  C4^1  P4   P 4
Space Group  76  C4^2  P41   P 4w
Space Group  77  C4^3  P42   P 4c
Space Group  78  C4^4  P43   P 4cw
Space Group  79  C4^5  I4   I 4
Space Group  80  C4^6  I41   I 4bw
Space Group  81  S4^1  P-4   P -4
Space Group  82  S4^2  I-4   I -4
Space Group  83  C4h^1  P4/m  -P 4
Space Group  84  C4h^2  P42/m  -P 4c
Space Group  85:1  C4h^3  P4/n:1   P 4ab -1ab
Space Group  85:2  C4h^3  P4/n:2  -P 4a
Space Group  86:1  C4h^4  P42/n:1   P 4n -1n
Space Group  86:2  C4h^4  P42/n:2  -P 4bc
Space Group  87  C4h^5  I4/m  -I 4
Space Group  88:1  C4h^6  I41/a:1   I 4bw -1bw
Space Group  88:2  C4h^6  I41/a:2  -I 4ad
Space Group  89  D4^1  P422   P 4 2
Space Group  90  D4^2  P4212   P 4ab 2ab
Space Group  91  D4^3  P4122   P 4w 2c
Space Group  92  D4^4  P41212   P 4abw 2nw
Space Group  93  D4^5  P4222   P 4c 2
Space Group  94  D4^6  P42212   P 4n 2n
Space Group  95  D4^7  P4322   P 4cw 2c
Space Group  96  D4^8  P43212   P 4nw 2abw
Space Group  97  D4^9  I422   I 4 2
Space Group  98  D4^10  I4122   I 4bw 2bw
Space Group  99  C4v^1  P4mm   P 4 -2
Space Group  100  C4v^2  P4bm   P 4 -2ab
Space Group  101  C4v^3  P42cm   P 4c -2c
Space Group  102  C4v^4  P42nm   P 4n -2n
Space Group  103  C4v^5  P4cc   P 4 -2c
Space Group  104  C4v^6  P4nc   P 4 -2n
Space Group  105  C4v^7  P42mc   P 4c -2
Space Group  106  C4v^8  P42bc   P 4c -2ab
Space Group  107  C4v^9  I4mm   I 4 -2
Space Group  108  C4v^10  I4cm   I 4 -2c
Space Group  109  C4v^11  I41md   I 4bw -2
Space Group  110  C4v^12  I41cd   I 4bw -2c
Space Group  111  D2d^1  P-42m   P -4 2
Space Group  112  D2d^2  P-42c   P -4 2c
Space Group  113  D2d^3  P-421m   P -4 2ab
Space Group  114  D2d^4  P-421c   P -4 2n
Space Group  115  D2d^5  P-4m2   P -4 -2
Space Group  116  D2d^6  P-4c2   P -4 -2c
Space Group  117  D2d^7  P-4b2   P -4 -2ab
Space Group  118  D2d^8  P-4n2   P -4 -2n
Space Group  119  D2d^9  I-4m2   I -4 -2
Space Group  120  D2d^10  I-4c2   I -4 -2c
Space Group  121  D2d^11  I-42m   I -4 2
Space Group  122  D2d^12  I-42d   I -4 2bw
Space Group  123  D4h^1  P4/mmm  -P 4 2
Space Group  124  D4h^2  P4/mcc  -P 4 2c
Space Group  125:1  D4h^3  P4/nbm:1   P 4 2 -1ab
Space Group  125:2  D4h^3  P4/nbm:2  -P 4a 2b
Space Group  126:1  D4h^4  P4/nnc:1   P 4 2 -1n
Space Group  126:2  D4h^4  P4/nnc:2  -P 4a 2bc
Space Group  127  D4h^5  P4/mbm  -P 4 2ab
Space Group  128  D4h^6  P4/mnc  -P 4 2n
Space Group  129:1  D4h^7  P4/nmm:1   P 4ab 2ab -1ab
Space Group  129:2  D4h^7  P4/nmm:2  -P 4a 2a
Space Group  130:1  D4h^8  P4/ncc:1   P 4ab 2n -1ab
Space Group  130:2  D4h^8  P4/ncc:2  -P 4a 2ac
Space Group  131  D4h^9  P42/mmc  -P 4c 2
Space Group  132  D4h^10  P42/mcm  -P 4c 2c
Space Group  133:1  D4h^11  P42/nbc:1   P 4n 2c -1n
Space Group  133:2  D4h^11  P42/nbc:2  -P 4ac 2b
Space Group  134:1  D4h^12  P42/nnm:1   P 4n 2 -1n
Space Group  134:2  D4h^12  P42/nnm:2  -P 4ac 2bc
Space Group  135  D4h^13  P42/mbc  -P 4c 2ab
Space Group  136  D4h^14  P42/mnm  -P 4n 2n
Space Group  137:1  D4h^15  P42/nmc:1   P 4n 2n -1n
Space Group  137:2  D4h^15  P42/nmc:2  -P 4ac 2a
Space Group  138:1  D4h^16  P42/ncm:1   P 4n 2ab -1n
Space Group  138:2  D4h^16  P42/ncm:2  -P 4ac 2ac
Space Group  139  D4h^17  I4/mmm  -I 4 2
Space Group  140  D4h^18  I4/mcm  -I 4 2c
Space Group  141:1  D4h^19  I41/amd:1   I 4bw 2bw -1bw
Space Group  141:2  D4h^19  I41/amd:2  -I 4bd 2
Space Group  142:1  D4h^20  I41/acd:1   I 4bw 2aw -1bw
Space Group  142:2  D4h^20  I41/acd:2  -I 4bd 2c
Space Group  143  C3^1  P3   P 3
Space Group  144  C3^2  P31   P 31
Space Group  145  C3^3  P32   P 32
Space Group  146:H  C3^4  R3:H   R 3
Space Group  146:R  C3^4  R3:R   P 3*
Space Group  147  C3i^1  P-3  -P 3
Space Group  148:H  C3i^2  R-3:H  -R 3
Space Group  148:R  C3i^2  R-3:R  -P 3*
Space Group  149  D3^1  P312   P 3 2
Space Group  150  D3^2  P321   P 3 2"
Space Group  151  D3^3  P3112   P 31 2c (0 0 1)
Space Group  152  D3^4  P3121   P 31 2"
Space Group  153  D3^5  P3212   P 32 2c (0 0 -1)
Space Group  154  D3^6  P3221   P 32 2"
Space Group  155:H  D3^7  R32:H   R 3 2"
Space Group  155:R  D3^7  R32:R   P 3* 2
Space Group  156  C3v^1  P3m1   P 3 -2"
Space Group  157  C3v^2  P31m   P 3 -2
Space Group  158  C3v^3  P3c1   P 3 -2"c
Space Group  159  C3v^4  P31c   P 3 -2c
Space Group  160:H  C3v^5  R3m:H   R 3 -2"
Space Group  160:R  C3v^5  R3m:R   P 3* -2
Space Group  161:H  C3v^6  R3c:H   R 3 -2"c
Space Group  161:R  C3v^6  R3c:R   P 3* -2n
Space Group  162  D3d^1  P-31m  -P 3 2
Space Group  163  D3d^2  P-31c  -P 3 2c
Space Group  164  D3d^3  P-3m1  -P 3 2"
Space Group  165  D3d^4  P-3c1  -P 3 2"c
Space Group  166:H  D3d^5  R-3m:H  -R 3 2"
Space Group  166:R  D3d^5  R-3m:R  -P 3* 2
Space Group  167:H  D3d^6  R-3c:H  -R 3 2"c
Space Group  167:R  D3d^6  R-3c:R  -P 3* 2n
Space Group  168  C6^1  P6   P 6
Space Group  169  C6^2  P61   P 61
Space Group  170  C6^3  P65   P 65
Space Group  171  C6^4  P62   P 62
Space Group  172  C6^5  P64   P 64
Space Group  173  C6^6  P63   P 6c
Space Group  174  C3h^1  P-6   P -6
Space Group  175  C6h^1  P6/m  -P 6
Space Group  176  C6h^2  P63/m  -P 6c
Space Group  177  D6^1  P622   P 6 2
Space Group  178  D6^2  P6122   P 61 2 (0 0 -1)
Space Group  179  D6^3  P6522   P 65 2 (0 0 1)
Space Group  180  D6^4  P6222   P 62 2c (0 0 1)
Space Group  181  D6^5  P6422   P 64 2c (0 0 -1)
Space Group  182  D6^6  P6322   P 6c 2c
Space Group  183  C6v^1  P6mm   P 6 -2
Space Group  184  C6v^2  P6cc   P 6 -2c
Space Group  185  C6v^3  P63cm   P 6c -2
Space Group  186  C6v^4  P63mc   P 6c -2c
Space Group  187  D3h^1  P-6m2   P -6 2
Space Group  188  D3h^2  P-6c2   P -6c 2
Space Group  189  D3h^3  P-62m   P -6 -2
Space Group  190  D3h^4  P-62c   P -6c -2c
Space Group  191  D6h^1  P6/mmm  -P 6 2
Space Group  192  D6h^2  P6/mcc  -P 6 2c
Space Group  193  D6h^3  P63/mcm  -P 6c 2
Space Group  194  D6h^4  P63/mmc  -P 6c 2c
Space Group  195  T^1  P23   P 2 2 3
Space Group  196  T^2  F23   F 2 2 3
Space Group  197  T^3  I23   I 2 2 3
Space Group  198  T^4  P213   P 2ac 2ab 3
Space Group  199  T^5  I213   I 2b 2c 3
Space Group  200  Th^1  Pm-3  -P 2 2 3
Space Group  201:1  Th^2  Pn-3:1   P 2 2 3 -1n
Space Group  201:2  Th^2  Pn-3:2  -P 2ab 2bc 3
Space Group  202  Th^3  Fm-3  -F 2 2 3
Space Group  203:1  Th^4  Fd-3:1   F 2 2 3 -1d
Space Group  203:2  Th^4  Fd-3:2  -F 2uv 2vw 3
Space Group  204  Th^5  Im-3  -I 2 2 3
Space Group  205  Th^6  Pa-3  -P 2ac 2ab 3
Space Group  206  Th^7  Ia-3  -I 2b 2c 3
Space Group  207  O^1  P432   P 4 2 3
Space Group  208  O^2  P4232   P 4n 2 3
Space Group  209  O^3  F432   F 4 2 3
Space Group  210  O^4  F4132   F 4d 2 3
Space Group  211  O^5  I432   I 4 2 3
Space Group  212  O^6  P4332   P 4acd 2ab 3
Space Group  213  O^7  P4132   P 4bd 2ab 3
Space Group  214  O^8  I4132   I 4bd 2c 3
Space Group  215  Td^1  P-43m   P -4 2 3
Space Group  216  Td^2  F-43m   F -4 2 3
Space Group  217  Td^3  I-43m   I -4 2 3
Space Group  218  Td^4  P-43n   P -4n 2 3
Space Group  219  Td^5  F-43c   F -4c 2 3
Space Group  220  Td^6  I-43d   I -4bd 2c 3
Space Group  221  Oh^1  Pm-3m  -P 4 2 3
Space Group  222:1  Oh^2  Pn-3n:1   P 4 2 3 -1n
Space Group  222:2  Oh^2  Pn-3n:2  -P 4a 2bc 3
Space Group  223  Oh^3  Pm-3n  -P 4n 2 3
Space Group  224:1  Oh^4  Pn-3m:1   P 4n 2 3 -1n
Space Group  224:2  Oh^4  Pn-3m:2  -P 4bc 2bc 3
Space Group  225  Oh^5  Fm-3m  -F 4 2 3
Space Group  226  Oh^6  Fm-3c  -F 4c 2 3
Space Group  227:1  Oh^7  Fd-3m:1   F 4d 2 3 -1d
Space Group  227:2  Oh^7  Fd-3m:2  -F 4vw 2vw 3
Space Group  228:1  Oh^8  Fd-3c:1   F 4d 2 3 -1cd
Space Group  228:2  Oh^8  Fd-3c:2  -F 4cvw 2vw 3
Space Group  229  Oh^9  Im-3m  -I 4 2 3
Space Group  230  Oh^10  Ia-3d  -I 4bd 2c 3