Each space group is represented by its Hermann Mauguin symbol and number, as recorded in International Tables for Crystallography.
The only exception is for trigonal space groups with an R-lattice and for which the atomic coordinates are referred to rhombohedral axes. In these cases r is appended to the conventional symbol, e.g. R-3r.
For structural studies where the space group has not been completely determined, an aspect symbol is recorded, and, for these, the number lies in the range 231-729.
In this appendix, the information is sorted by space group/aspect symbol.
A*** 565 A**a 563 A*/* 512 A*/a 515 A*a* 563 A*aa 566 A-1 2 Aa 9 Ab** 567 Ab*a 564 Aba* 564 Abaa 68 Abam 64 Aba2 41 Abma 64 Abmm 67 Abm2 39 Ab2a 41 Ab2m 39 Acam 64 Acc21 39 Acn21 41 Ac2a 41 Am 8 Amaa 66 Amam 63 Ama2 40 Amma 63 Ammm 65 Amm2 38 Am2a 40 Am2m 38 An 9 Anc21 38 Ann21 40 A11a 9 A112 5 A112/a 15 A112/m 12 A2 5 A2/a 15 A2/m 12 A2/n 15 A2aa 37 A2mm 35 A21am 36 A21ma 36 A2122 20 A222 21 B*** 565 B**b 563 B*a* 567 B*ab 564 B-1 2 Bb** 563 Bb*b 566 Bba* 564 Bbab 68 Bbam 64 Bba2 41 Bbcm 64 Bbmb 66 Bbmm 63 Bbm2 40 Bb2b 37 Bb21m 36 Bd 7 Bmab 64 Bmam 67 Bma2 39 Bmmb 63 Bmmm 65 Bmm2 38 Bm2m 35 Bm21b 36 B11b 9 B1121/b 15 B112 5 B112/b 15 B112/m 12 B112/n 15 B2ab 41 B2am 39 B2mb 40 B2mm 38 B21 4 B21/a 14 B21/c 14 B21/d 14 B21/m 11 B2212 20 B222 21 C*** 565 C**a 567 C*/* 512 C*/c 515 C*c* 563 C*ca 564 C-1 2 Cbab 67 Cban 65 Cba2 35 Cbnb 64 Cbnn 63 Cbn21 36 Cc 9 Cc** 563 Cc*a 564 Ccc* 566 Ccca 68 Cccm 66 Ccc2 37 Ccma 64 Ccmb 64 Ccmm 63 Ccm21 36 Cc2a 41 Cc2b 41 Cc2m 40 Cm 8 Cmca 64 Cmcm 63 Cmc21 36 Cmma 67 Cmmm 65 Cmm2 35 Cm2a 39 Cm2m 38 Cn 9 Cnnb 68 Cnnn 66 Cnn2 37 C1 1 C11a 7 C112/b 13 C1121 4 C2 5 C2/a 12 C2/c11 15 C2/c 15 C2/m11 12 C2/m 12 C2/n 15 C2ca 41 C2cb 41 C2cm 40 C2ma 39 C2mb 39 C2mm 38 C21212 21 C212121 20 C2221 20 C222 21 C41221 92 F*** 569 F*3 702 F*3* 725 F*3c 726 F-1 2 F-43c 219 F-43m 216 Fbca 69 Fbc21 42 Fcab 69 Fca21 42 Fddd 70 Fdd21 43 Fdd2 43 Fd11 9 Fd2d 43 Fd3 203 Fd3c 228 Fd3m 227 Fmmm 69 Fmm2 42 Fm2m 42 Fm3 202 Fm3c 226 Fm3m 225 Fnnn 69 Fnn2 42 F2 5 F2/d 15 F2/m 12 F2dd 43 F2mm 42 F212121 22 F222 22 F23 196 F4132 210 F432 209 I*** 571 I**a 574 I*/* 512 I*/a 515 I*a* 574 I*aa 572 I*3 704 I*3* 729 I-1 2 I-4 82 I-4c2 120 I-4m2 119 I-42d 122 I-42m 121 I-43d 220 I-43m 217 Ia 9 Ia3 206 Ia3d 230 Ib** 574 Ib*a 572 Iba* 572 Ibam 72 Iba2 45 Ibca 73 Ibma 72 Ibmm 74 Ibm2 46 Ib2a 45 Ib2m 46 Ic 9 Icab 73 Iccn 72 Icc21 45 Ic2a 45 Im 8 Im** 571 Imaa 72 Imam 74 Ima2 46 Imcb 72 Imcm 74 Imma 74 Immm 71 Imm2 44 Im2a 46 Im2m 44 Im3 204 Im3m 229 Inc21 46 Innb 74 Innn 71 Inn21 44 I1 1 I112/a 15 I112/b 15 I112/m 12 I2 5 I2/a 15 I2/c 15 I2/m 12 I2/n 15 I2aa 45 I2am 46 I2cb 45 I2cm 46 I2ma 46 I2mm 44 I21 5 I21/a 15 I21/c 15 I212121 24 I213 199 I222 23 I23 197 I4 79 I4*d 622 I4/*c* 640 I4/* 587 I4/*** 639 I4/mcm 140 I4/mmm 139 I4/m 87 I4cm 108 I4mm 107 I41 80 I41/a 88 I41/acd 142 I41/amd 141 I41cd 110 I41md 109 I4122 98 I4132 214 I422 97 I432 211 P* 502 P*** 547 P**a 551 P**b 551 P**n 559 P*/* 510 P*/a 513 P*/c 513 P*/n 513 P*,-3 647 P*a* 551 P*aa 549 P*ab 557 P*an 553 P*c* 551 P*ca 557 P*cb 555 P*cn 562 P*c1,-3m 665 P*n* 559 P*na 553 P*nb 562 P*nn 558 P*1c,-3m 663 P*3 700 P*3* 721 P*3n 723 P-1 2 P-3 147 P-3c1 165 P-3m1 164 P-31c 163 P-31m 162 P-4 81 P-4b2 117 P-4c2 116 P-4m2 115 P-4n2 118 P-42c 112 P-42m 111 P-421c 114 P-421m 113 P-43m 215 P-43n 218 P-6 174 P-6c2 188 P-6m2 187 P-62c 190 P-62m 189 Pa 7 Pa3 205 Pb** 551 Pb*a 557 Pb*b 549 Pb*n 553 Pba* 555 Pbaa 54 Pbab 54 Pbam 55 Pban 50 Pba2 32 Pbc* 557 Pbca 61 Pbcb 54 Pbcm 57 Pbcn 60 Pbc21 29 Pbma 57 Pbmb 49 Pbmm 51 Pbmn 53 Pbm2 28 Pbn* 562 Pbna 60 Pbnb 56 Pbnm 62 Pbnn 52 Pbn21 33 Pb2b 27 Pb2n 30 Pb21a 29 Pb21m 26 Pb3 205 Pc 7 Pc** 551 Pc*a 555 Pc*b 557 Pc*n 562 Pca* 557 Pcaa 54 Pcab 61 Pcam 57 Pcan 60 Pca21 29 Pcc* 549 Pcca 54 Pccb 54 Pccm 49 Pccn 56 Pcc2 27 Pcma 55 Pcmb 57 Pcmm 51 Pcmn 62 Pcm21 26 Pcn* 553 Pcna 50 Pcnb 60 Pcnm 53 Pcnn 52 Pcn2 30 Pc2a 32 Pc2m 28 Pc21b 29 Pc21n 33 Pm 6 Pmaa 49 Pmab 57 Pmam 51 Pman 53 Pma2 28 Pmca 57 Pmcb 55 Pmcm 51 Pmcn 62 Pmc21 26 Pmma 51 Pmmb 51 Pmmm 47 Pmmn 59 Pmm2 25 Pmna 53 Pmnb 62 Pmnm 59 Pmnn 58 Pmn21 31 Pm2a 28 Pm2m 25 Pm21b 26 Pm21n 31 Pm3 200 Pm3m 221 Pm3n 223 Pn 7 Pn** 559 Pn*a 562 Pn*b 553 Pn*n 558 Pna* 562 Pnaa 56 Pnab 60 Pnam 62 Pnan 52 Pna21 33 Pnc* 553 Pnca 60 Pncb 50 Pncm 53 Pncn 52 Pnc2 30 Pnma 62 Pnmb 53 Pnmm 59 Pnmn 58 Pnm21 31 Pnn* 558 Pnna 52 Pnnb 52 Pnnm 58 Pnnn 48 Pnn2 34 Pn2a 46 Pn2b 30 Pn2n 34 Pn21a 33 Pn21m 31 Pn3 201 Pn3m 224 Pn3n 222 P1 1 P11b 7 P11n 7 P1121 4 P1121/a 14 P1121/b 14 P1121/m 11 P1121/n 14 P112 3 P112/a 13 P112/b 13 P112/n 13 P2 3 P2/a 13 P2/c 13 P2/c11 13 P2/m 10 P2/n 13 P2aa 27 P2an 30 P2cb 32 P2cm 28 P2mb 28 P2mm 25 P2na 30 P2nn 34 P21 4 P21/a 14 P21/b11 14 P21/c 14 P21/c11 14 P21/m 11 P21/n 14 P21/n11 14 P21/* 511 P21ab 29 P21am 26 P21ca 29 P21cn 33 P21ma 26 P21mn 31 P21nb 33 P21nm 31 P2111 4 P21212 18 P212121 19 P2122 17 P21221 18 P213 198 P2212 17 P22121 18 P2221 17 P222 16 P23 195 P3 143 P3*1 664 P3c1 158 P3m1 156 P31 144 P31* 662 P31,2 644 P31,212 651 P31,221 652 P31c 159 P31m 157 P3112 151 P3121 152 P312 149 P32 145 P3212 153 P321 150 P3221 154 P4 75 P4/*b* 627 P4/*bc 635 P4/*c* 632 P4/*cc 624 P4/*n* 636 P4/*nc 628 P4/* 583 P4/*** 623 P4/**c 631 P4/mbm 127 P4/mcc 124 P4/mmm 123 P4/mnc 128 P4/m 83 P4/nbm 125 P4/ncc 130 P4/nmm 129 P4/nnc 126 P4/n 85 P4bm 100 P4cc 103 P4mm 99 P4nc 104 P41 76 P41,3 576 P41,3212 592 P41,322 591 P41,332 712 P41212 92 P4122 91 P4132 213 P42 77 P42/m 84 P42/mbc 135 P42/mcm 132 P42/mmc 131 P42/mnm 136 P42/n 86 P42/nbc 133 P42/ncm 138 P42/nmc 137 P42/nnm 134 P42/* 584 P42bc 106 P42cm 101 P42mc 105 P42nm 102 P4212 90 P421* 613 P42212 94 P4222 93 P422 89 P4232 208 P43 78 P43212 96 P4322 95 P432 207 P4332 212 P6 168 P6/*c* 693 P6/*cc 692 P6/* 675 P6/*** 691 P6/**c 694 P6/mcc 192 P6/mmm 191 P6/m 175 P6cc 184 P6mm 183 P61 169 P61,5 669 P61,522 678 P6122 178 P62 171 P62,4 671 P62,422 680 P6222 180 P622 177 P63 173 P63/m 176 P63/mcm 193 P63/mmc 194 P63/* 676 P63cm 185 P63mc 186 P6322 182 P64 172 P6422 181 P65 170 P6522 179 R* 648 R** 666 R*c 667 R-3 148 R-3cr 167 R-3c 167 R-3mr 166 R-3m 166 R-3r 148 R3 146 R3c 161 R3cr 161 R3m 160 R3mr 160 R3r 146 R32 155 R32r 155