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APPENDIX 6 - SPACE GROUP SYMBOLS

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


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