symm_data.yaml

abbreviated_spacegroup_symbols:
  C2: C121
  C2/c: C12/c1
  C2/m: C12/m1
  Cc: C1c1
  Cm: C1m1
  P2: P121
  P2/c: P12/c1
  P2/m: P12/m1
  P2_1: P12_11
  P2_1/c: P12_1/c1
  P2_1/m: P12_1/m1
  Pc: P1c1
  Pm: P1m1
  Ia3: Ia-3
generator_matrices:
  a:
  - - 1
    - 0
    - 0
  - - 0
    - 1
    - 0
  - - 0
    - 0
    - 1
  b:
  - - -1
    - 0
    - 0
  - - 0
    - -1
    - 0
  - - 0
    - 0
    - 1
  c:
  - - -1
    - 0
    - 0
  - - 0
    - 1
    - 0
  - - 0
    - 0
    - -1
  d:
  - - 0
    - 0
    - 1
  - - 1
    - 0
    - 0
  - - 0
    - 1
    - 0
  e:
  - - 0
    - 1
    - 0
  - - 1
    - 0
    - 0
  - - 0
    - 0
    - -1
  f:
  - - 0
    - -1
    - 0
  - - -1
    - 0
    - 0
  - - 0
    - 0
    - -1
  g:
  - - 0
    - -1
    - 0
  - - 1
    - 0
    - 0
  - - 0
    - 0
    - 1
  h:
  - - -1
    - 0
    - 0
  - - 0
    - -1
    - 0
  - - 0
    - 0
    - -1
  i:
  - - 1
    - 0
    - 0
  - - 0
    - 1
    - 0
  - - 0
    - 0
    - -1
  j:
  - - 1
    - 0
    - 0
  - - 0
    - -1
    - 0
  - - 0
    - 0
    - 1
  k:
  - - 0
    - -1
    - 0
  - - -1
    - 0
    - 0
  - - 0
    - 0
    - 1
  l:
  - - 0
    - 1
    - 0
  - - 1
    - 0
    - 0
  - - 0
    - 0
    - 1
  m:
  - - 0
    - 1
    - 0
  - - -1
    - 0
    - 0
  - - 0
    - 0
    - -1
  n:
  - - 0
    - -1
    - 0
  - - 1
    - -1
    - 0
  - - 0
    - 0
    - 1
maximal_subgroups:
  1:
  - 1
  2:
  - 1
  - 2
  3:
  - 1
  - 3
  - 4
  - 5
  4:
  - 1
  - 4
  5:
  - 1
  - 3
  - 4
  - 5
  6:
  - 1
  - 6
  - 7
  - 8
  7:
  - 1
  - 7
  - 9
  8:
  - 1
  - 6
  - 7
  - 8
  - 9
  9:
  - 1
  - 7
  - 9
  10:
  - 2
  - 3
  - 6
  - 10
  - 11
  - 12
  - 13
  11:
  - 2
  - 4
  - 6
  - 11
  - 14
  12:
  - 2
  - 5
  - 8
  - 10
  - 11
  - 12
  - 13
  - 14
  - 15
  13:
  - 2
  - 3
  - 7
  - 13
  - 14
  - 15
  14:
  - 2
  - 4
  - 7
  - 14
  15:
  - 2
  - 5
  - 9
  - 13
  - 14
  - 15
  16:
  - 3
  - 16
  - 17
  - 21
  - 22
  17:
  - 3
  - 4
  - 17
  - 18
  - 20
  18:
  - 3
  - 4
  - 18
  - 19
  19:
  - 4
  - 19
  20:
  - 4
  - 5
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  - 18
  - 19
  - 20
  21:
  - 3
  - 5
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  - 17
  - 18
  - 20
  - 21
  - 23
  - 24
  22:
  - 5
  - 20
  - 21
  - 22
  23:
  - 5
  - 16
  - 18
  - 23
  24:
  - 5
  - 17
  - 19
  - 24
  25:
  - 3
  - 6
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  - 26
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  - 38
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  - 42
  26:
  - 4
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  - 7
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  - 29
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  27:
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  28:
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  29:
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  30:
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  31:
  - 4
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  32:
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  33:
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  - 33
  34:
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  35:
  - 3
  - 8
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  - 44
  - 45
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  36:
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  - 9
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  37:
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  38:
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  39:
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  40:
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  43:
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  52:
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  53:
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  54:
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  - 17
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  - 54
  - 56
  - 60
  55:
  - 10
  - 14
  - 18
  - 26
  - 32
  - 55
  - 58
  - 62
  56:
  - 13
  - 14
  - 18
  - 27
  - 33
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  57:
  - 11
  - 13
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  - 61
  - 62
  58:
  - 10
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  59:
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  - 62
  60:
  - 13
  - 14
  - 18
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  - 33
  - 60
  61:
  - 14
  - 19
  - 29
  - 61
  62:
  - 11
  - 14
  - 19
  - 26
  - 31
  - 33
  - 62
  63:
  - 11
  - 12
  - 15
  - 20
  - 36
  - 38
  - 40
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  - 52
  - 57
  - 58
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  - 60
  - 62
  - 63
  64:
  - 12
  - 14
  - 15
  - 20
  - 36
  - 39
  - 41
  - 53
  - 54
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  - 64
  65:
  - 10
  - 12
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  - 65
  - 66
  - 71
  - 72
  - 74
  66:
  - 10
  - 15
  - 21
  - 37
  - 40
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  - 49
  - 52
  - 53
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  - 58
  - 66
  67:
  - 12
  - 13
  - 21
  - 35
  - 39
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  - 67
  - 68
  - 72
  - 73
  - 74
  68:
  - 13
  - 15
  - 21
  - 37
  - 41
  - 50
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  - 54
  - 60
  - 68
  69:
  - 12
  - 22
  - 42
  - 63
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  - 69
  70:
  - 15
  - 22
  - 43
  - 70
  71:
  - 12
  - 23
  - 44
  - 47
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  - 58
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  72:
  - 12
  - 15
  - 23
  - 45
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  73:
  - 15
  - 24
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  74:
  - 12
  - 15
  - 24
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  - 62
  - 74
  75:
  - 3
  - 75
  - 77
  - 79
  76:
  - 4
  - 76
  - 78
  77:
  - 3
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  - 80
  78:
  - 4
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  79:
  - 5
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  80:
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  81:
  - 3
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  - 82
  82:
  - 5
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  83:
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  84:
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  85:
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  86:
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  87:
  - 12
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  88:
  - 15
  - 80
  - 82
  - 88
  89:
  - 16
  - 21
  - 75
  - 89
  - 90
  - 93
  - 97
  90:
  - 18
  - 21
  - 75
  - 90
  - 94
  91:
  - 17
  - 20
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  - 91
  - 92
  - 95
  92:
  - 19
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  - 96
  93:
  - 16
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  - 98
  94:
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  95:
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  96:
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  97:
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  99:
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  - 99
  - 100
  - 101
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  - 105
  - 107
  - 108
  100:
  - 32
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  - 100
  - 102
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  - 106
  101:
  - 27
  - 35
  - 77
  - 101
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  102:
  - 34
  - 35
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  - 102
  - 109
  - 110
  103:
  - 27
  - 37
  - 75
  - 103
  - 104
  104:
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  - 37
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  - 104
  105:
  - 25
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  - 77
  - 101
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  106:
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  107:
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  - 99
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  108:
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  - 45
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  - 100
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  - 106
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  109:
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  - 44
  - 80
  - 109
  110:
  - 43
  - 45
  - 80
  - 110
  111:
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  - 35
  - 81
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  - 117
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  112:
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  113:
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  114:
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  115:
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  116:
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  117:
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  118:
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  120:
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  121:
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  122:
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  123:
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  124:
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  125:
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  126:
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  127:
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  128:
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  129:
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  - 137
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  130:
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  132:
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  133:
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  134:
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  140:
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  184:
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  187:
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  - 189
  188:
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  - 149
  - 158
  - 174
  - 188
  - 190
  189:
  - 38
  - 150
  - 157
  - 174
  - 187
  - 189
  - 190
  190:
  - 40
  - 150
  - 159
  - 174
  - 188
  - 190
  191:
  - 65
  - 162
  - 164
  - 175
  - 177
  - 183
  - 187
  - 189
  - 191
  - 192
  - 193
  - 194
  192:
  - 66
  - 163
  - 165
  - 175
  - 177
  - 184
  - 188
  - 190
  - 192
  193:
  - 63
  - 162
  - 165
  - 176
  - 182
  - 185
  - 188
  - 189
  - 193
  - 194
  194:
  - 63
  - 163
  - 164
  - 176
  - 182
  - 186
  - 187
  - 190
  - 193
  - 194
  195:
  - 16
  - 146
  - 196
  - 197
  - 199
  196:
  - 22
  - 146
  - 195
  - 198
  197:
  - 23
  - 146
  - 195
  198:
  - 19
  - 146
  199:
  - 24
  - 146
  - 198
  200:
  - 47
  - 148
  - 195
  - 202
  - 204
  - 206
  201:
  - 48
  - 148
  - 195
  - 203
  202:
  - 69
  - 148
  - 196
  - 200
  - 201
  - 205
  203:
  - 70
  - 148
  - 196
  204:
  - 71
  - 148
  - 197
  - 200
  - 201
  205:
  - 61
  - 148
  - 198
  206:
  - 73
  - 148
  - 199
  - 205
  207:
  - 89
  - 155
  - 195
  - 209
  - 211
  208:
  - 93
  - 155
  - 195
  - 210
  - 214
  209:
  - 97
  - 155
  - 196
  - 207
  - 208
  210:
  - 98
  - 155
  - 196
  - 212
  - 213
  211:
  - 97
  - 155
  - 197
  - 207
  - 208
  212:
  - 96
  - 155
  - 198
  213:
  - 92
  - 155
  - 198
  214:
  - 98
  - 155
  - 199
  - 212
  - 213
  215:
  - 111
  - 160
  - 195
  - 216
  - 217
  - 219
  216:
  - 119
  - 160
  - 196
  - 215
  217:
  - 121
  - 160
  - 197
  - 215
  - 218
  218:
  - 112
  - 161
  - 195
  - 220
  219:
  - 120
  - 161
  - 196
  - 218
  220:
  - 122
  - 161
  - 199
  221:
  - 123
  - 166
  - 200
  - 207
  - 215
  - 225
  - 226
  - 229
  222:
  - 126
  - 167
  - 201
  - 207
  - 218
  223:
  - 131
  - 167
  - 200
  - 208
  - 218
  - 230
  224:
  - 134
  - 166
  - 201
  - 208
  - 215
  - 227
  - 228
  225:
  - 139
  - 166
  - 202
  - 209
  - 216
  - 221
  - 224
  226:
  - 140
  - 167
  - 202
  - 209
  - 219
  - 222
  - 223
  227:
  - 141
  - 166
  - 203
  - 210
  - 216
  228:
  - 142
  - 167
  - 203
  - 210
  - 219
  229:
  - 139
  - 166
  - 204
  - 211
  - 217
  - 221
  - 222
  - 223
  - 224
  230:
  - 142
  - 167
  - 206
  - 214
  - 220
point_group_encoding:
  '-1': h
  '-3': hn
  -3m: fhn
  '-4': m
  -42m: cm
  -43m: dml
  '-6': in
  -6m2: ikn
  '1': a
  '2': c
  2/m: ch
  '222': bc
  '23': cd
  '3': n
  '32': en
  3m: kn
  '4': g
  4/m: gh
  4/mmm: cgh
  '422': cg
  '432': dg
  4mm: gj
  '6': bn
  6/m: bhn
  6/mmm: benh
  '622': ben
  6mm: bkn
  m: j
  m-3: cdh
  m-3m: dghl
  mm2: bj
  mmm: bch
space_group_encoding:
  Aba2:
    enc: 03aODDbOOOjDDO0
    full_symbol: Aea2
    int_number: 41
    order: 8
    patterson_symmetry: Ammm (Cmmm)
    point_group: mm2
  Abm2:
    enc: 03aODDbOOOjODO0
    full_symbol: Aem2
    int_number: 39
    order: 8
    patterson_symmetry: Ammm (Cmmm)
    point_group: mm2
  Ama2:
    enc: 03aODDbOOOjDOO0
    full_symbol: Ama2
    int_number: 40
    order: 8
    patterson_symmetry: Ammm (Cmmm)
    point_group: mm2
  Amm2:
    enc: 03aODDbOOOjOOO0
    full_symbol: Amm2
    int_number: 38
    order: 8
    patterson_symmetry: Ammm (Cmmm)
    point_group: mm2
  C12/c1:
    enc: 12aDDOcOOD0
    full_symbol: C12/c1
    int_number: 15
    order: 8
    patterson_symmetry: C12/m1
    point_group: 2/m
  C12/m1:
    enc: 12aDDOcOOO0
    full_symbol: C12/m1
    int_number: 12
    order: 8
    patterson_symmetry: C12/m1
    point_group: 2/m
  C121:
    enc: 02aDDOcOOO0
    full_symbol: C121
    int_number: 5
    order: 4
    patterson_symmetry: C12/m1
    point_group: '2'
  C1c1:
    enc: 02aDDOjOOD0
    full_symbol: C1c1
    int_number: 9
    order: 4
    patterson_symmetry: C12/m1
    point_group: m
  C1m1:
    enc: 02aDDOjOOO0
    full_symbol: C1m1
    int_number: 8
    order: 4
    patterson_symmetry: C12/m1
    point_group: m
  C222:
    enc: 03aDDObOOOcOOO0
    full_symbol: C222
    int_number: 21
    order: 8
    patterson_symmetry: Cmmm
    point_group: '222'
  C222_1:
    enc: 03aDDObOODcOOD0
    full_symbol: C222_1
    int_number: 20
    order: 8
    patterson_symmetry: Cmmm
    point_group: '222'
  Ccc2:
    enc: 03aDDObOOOjOOD0
    full_symbol: Ccc2
    int_number: 37
    order: 8
    patterson_symmetry: Cmmm
    point_group: mm2
  Ccce:
    enc: 04aDDObDDOcOOOhODD1OBB
    full_symbol: C2/c2/c2/e
    int_number: 68
    order: 16
    patterson_symmetry: Cmmm
    point_group: mmm
  Cccm:
    enc: 13aDDObOOOcOOD0
    full_symbol: C2/c2/c2/m
    int_number: 66
    order: 16
    patterson_symmetry: Cmmm
    point_group: mmm
  Cmc2_1:
    enc: 03aDDObOODjOOD0
    full_symbol: Cmc2_1
    int_number: 36
    order: 8
    patterson_symmetry: Cmmm
    point_group: mm2
  Cmce:
    enc: 13aDDObODDcODD0
    full_symbol: C2/m2/c2_1/e
    int_number: 64
    order: 16
    patterson_symmetry: Cmmm
    point_group: mmm
  Cmcm:
    enc: 13aDDObOODcOOD0
    full_symbol: C2/m2/c2_1/m
    int_number: 63
    order: 16
    patterson_symmetry: Cmmm
    point_group: mmm
  Cmm2:
    enc: 03aDDObOOOjOOO0
    full_symbol: Cmm2
    int_number: 35
    order: 8
    patterson_symmetry: Cmmm
    point_group: mm2
  Cmme:
    enc: 13aDDObODOcODO0
    full_symbol: C2/m2/m2/e
    int_number: 67
    order: 16
    patterson_symmetry: Cmmm
    point_group: mmm
  Cmmm:
    enc: 13aDDObOOOcOOO0
    full_symbol: C2/m2/m2/m
    int_number: 65
    order: 16
    patterson_symmetry: Cmmm
    point_group: mmm
  F-43c:
    enc: 06aODDaDODbOOOcOOOdOOOlDDD0
    full_symbol: F-43c
    int_number: 219
    order: 96
    patterson_symmetry: Fm-3m
    point_group: -43m
  F-43m:
    enc: 06aODDaDODbOOOcOOOdOOOlOOO0
    full_symbol: F-43m
    int_number: 216
    order: 96
    patterson_symmetry: Fm-3m
    point_group: -43m
  F222:
    enc: 04aODDaDODbOOOcOOO0
    full_symbol: F222
    int_number: 22
    order: 16
    patterson_symmetry: Fmmm
    point_group: '222'
  F23:
    enc: 05aODDaDODbOOOcOOOdOOO0
    full_symbol: F23
    int_number: 196
    order: 48
    patterson_symmetry: Fm-3
    point_group: '23'
  F432:
    enc: 06aODDaDODbOOOcOOOdOOOeOOO0
    full_symbol: F432
    int_number: 209
    order: 96
    patterson_symmetry: Fm-3m
    point_group: '432'
  F4_132:
    enc: 06aODDaDODbODDcDDOdOOOeFBF0
    full_symbol: F4_132
    int_number: 210
    order: 96
    patterson_symmetry: Fm-3m
    point_group: '432'
  Fd-3:
    enc: 06aODDaDODbOOOcOOOdOOOhBBB1ZZZ
    full_symbol: F2/d-3
    int_number: 203
    order: 96
    patterson_symmetry: Fm-3
    point_group: m-3
  Fd-3c:
    enc: 07aODDaDODbODDcDDOdOOOeFBFhFFF1XXX
    full_symbol: F4_1/d-32/c
    int_number: 228
    order: 192
    patterson_symmetry: Fm-3m
    point_group: m-3m
  Fd-3m:
    enc: 07aODDaDODbODDcDDOdOOOeFBFhBBB1ZZZ
    full_symbol: F4_1/d-32/m
    int_number: 227
    order: 192
    patterson_symmetry: Fm-3m
    point_group: m-3m
  Fdd2:
    enc: 04aODDaDODbOOOjBBB0
    full_symbol: Fdd2
    int_number: 43
    order: 16
    patterson_symmetry: Fmmm
    point_group: mm2
  Fddd:
    enc: 05aODDaDODbOOOcOOOhBBB1ZZZ
    full_symbol: F2/d2/d2/d
    int_number: 70
    order: 32
    patterson_symmetry: Fmmm
    point_group: mmm
  Fm-3:
    enc: 15aODDaDODbOOOcOOOdOOO0
    full_symbol: F2/m-3
    int_number: 202
    order: 96
    patterson_symmetry: Fm-3
    point_group: m-3
  Fm-3c:
    enc: 16aODDaDODbOOOcOOOdOOOeDDD0
    full_symbol: F4/m-32/c
    int_number: 226
    order: 192
    patterson_symmetry: Fm-3m
    point_group: m-3m
  Fm-3m:
    enc: 16aODDaDODbOOOcOOOdOOOeOOO0
    full_symbol: F4/m-32/m
    int_number: 225
    order: 192
    patterson_symmetry: Fm-3m
    point_group: m-3m
  Fmm2:
    enc: 04aODDaDODbOOOjOOO0
    full_symbol: Fmm2
    int_number: 42
    order: 16
    patterson_symmetry: Fmmm
    point_group: mm2
  Fmmm:
    enc: 14aODDaDODbOOOcOOO0
    full_symbol: F2/m2/m2/m
    int_number: 69
    order: 32
    patterson_symmetry: Fmmm
    point_group: mmm
  I-4:
    enc: 03aDDDbOOOmOOO0
    full_symbol: I-4
    int_number: 82
    order: 8
    patterson_symmetry: I4/m
    point_group: '-4'
  I-42d:
    enc: 04aDDDbOOOmOOOcDOF0
    full_symbol: I-42d
    int_number: 122
    order: 16
    patterson_symmetry: I4/mmm
    point_group: -42m
  I-42m:
    enc: 04aDDDbOOOmOOOcOOO0
    full_symbol: I-42m
    int_number: 121
    order: 16
    patterson_symmetry: I4/mmm
    point_group: -42m
  I-43d:
    enc: 05aDDDbDODcODDdOOOlBBB0
    full_symbol: I-43d
    int_number: 220
    order: 48
    patterson_symmetry: Im-3m
    point_group: -43m
  I-43m:
    enc: 05aDDDbOOOcOOOdOOOlOOO0
    full_symbol: I-43m
    int_number: 217
    order: 48
    patterson_symmetry: Im-3m
    point_group: -43m
  I-4c2:
    enc: 04aDDDbOOOmOOOjOOD0
    full_symbol: I-4c2
    int_number: 120
    order: 16
    patterson_symmetry: I4/mmm
    point_group: -4m2
  I-4m2:
    enc: 04aDDDbOOOmOOOjOOO0
    full_symbol: I-4m2
    int_number: 119
    order: 16
    patterson_symmetry: I4/mmm
    point_group: -4m2
  I222:
    enc: 03aDDDbOOOcOOO0
    full_symbol: I222
    int_number: 23
    order: 8
    patterson_symmetry: Immm
    point_group: '222'
  I23:
    enc: 04aDDDbOOOcOOOdOOO0
    full_symbol: I23
    int_number: 197
    order: 24
    patterson_symmetry: Im-3
    point_group: '23'
  I2_12_121:
    enc: 03aDDDbDODcODD0
    full_symbol: I2_12_12_1
    int_number: 24
    order: 8
    patterson_symmetry: Immm
    point_group: '222'
  I2_13:
    enc: 04aDDDbDODcODDdOOO0
    full_symbol: I2_13
    int_number: 199
    order: 24
    patterson_symmetry: Im-3
    point_group: '23'
  I4:
    enc: 03aDDDbOOOgOOO0
    full_symbol: I4
    int_number: 79
    order: 8
    patterson_symmetry: I4/m
    point_group: '4'
  I4/m:
    enc: 13aDDDbOOOgOOO0
    full_symbol: I4/m
    int_number: 87
    order: 16
    patterson_symmetry: I4/m
    point_group: 4/m
  I4/mcm:
    enc: 14aDDDbOOOgOOOcOOD0
    full_symbol: I4/m2/c2/m
    int_number: 140
    order: 32
    patterson_symmetry: I4/mmm
    point_group: 4/mmm
  I4/mmm:
    enc: 14aDDDbOOOgOOOcOOO0
    full_symbol: I4/m2/m2/m
    int_number: 139
    order: 32
    patterson_symmetry: I4/mmm
    point_group: 4/mmm
  I422:
    enc: 04aDDDbOOOgOOOcOOO0
    full_symbol: I422
    int_number: 97
    order: 16
    patterson_symmetry: I4/mmm
    point_group: '422'
  I432:
    enc: 05aDDDbOOOcOOOdOOOeOOO0
    full_symbol: I432
    int_number: 211
    order: 48
    patterson_symmetry: Im-3m
    point_group: '432'
  I4_1:
    enc: 03aDDDbDDDgODB0
    full_symbol: I4_1
    int_number: 80
    order: 8
    patterson_symmetry: I4/m
    point_group: '4'
  I4_1/a:
    enc: 04aDDDbDDDgODBhODB1OYZ
    full_symbol: I4_1/a
    int_number: 88
    order: 16
    patterson_symmetry: I4/m
    point_group: 4/m
  I4_1/acd:
    enc: 05aDDDbDDDgODBcDOBhODB1OBZ
    full_symbol: I4_1/a2/c2/d
    int_number: 142
    order: 32
    patterson_symmetry: I4/mmm
    point_group: 4/mmm
  I4_1/amd:
    enc: 05aDDDbDDDgODBcDOFhODB1OBZ
    full_symbol: I4_1/a2/m2/d
    int_number: 141
    order: 32
    patterson_symmetry: I4/mmm
    point_group: 4/mmm
  I4_122:
    enc: 04aDDDbDDDgODBcDOF0
    full_symbol: I4_122
    int_number: 98
    order: 16
    patterson_symmetry: I4/mmm
    point_group: '422'
  I4_132:
    enc: 05aDDDbDODcODDdOOOeFBB0
    full_symbol: I4_132
    int_number: 214
    order: 48
    patterson_symmetry: Im-3m
    point_group: '432'
  I4_1cd:
    enc: 04aDDDbDDDgODBjOOD0
    full_symbol: I4_1cd
    int_number: 110
    order: 16
    patterson_symmetry: I4/mmm
    point_group: 4mm
  I4_1md:
    enc: 04aDDDbDDDgODBjOOO0
    full_symbol: I4_1md
    int_number: 109
    order: 16
    patterson_symmetry: I4/mmm
    point_group: 4mm
  I4cm:
    enc: 04aDDDbOOOgOOOjOOD0
    full_symbol: I4cm
    int_number: 108
    order: 16
    patterson_symmetry: I4/mmm
    point_group: 4mm
  I4mm:
    enc: 04aDDDbOOOgOOOjOOO0
    full_symbol: I4mm
    int_number: 107
    order: 16
    patterson_symmetry: I4/mmm
    point_group: 4mm
  Ia-3:
    enc: 14aDDDbDODcODDdOOO0
    full_symbol: I2_1/a-3
    int_number: 206
    order: 48
    patterson_symmetry: Im-3
    point_group: m-3
  Ia-3d:
    enc: 15aDDDbDODcODDdOOOeFBB0
    full_symbol: I4_1/a-32/d
    int_number: 230
    order: 96
    patterson_symmetry: Im-3m
    point_group: m-3m
  Iba2:
    enc: 03aDDDbOOOjDDO0
    full_symbol: Iba2
    int_number: 45
    order: 8
    patterson_symmetry: Immm
    point_group: mm2
  Ibam:
    enc: 13aDDDbOOOcDDO0
    full_symbol: I2/b2/a2/m
    int_number: 72
    order: 16
    patterson_symmetry: Immm
    point_group: mmm
  Ibca:
    enc: 13aDDDbDODcODD0
    full_symbol: I2_1/b2_1/c2_1/a
    int_number: 73
    order: 16
    patterson_symmetry: Immm
    point_group: mmm
  Im-3:
    enc: 14aDDDbOOOcOOOdOOO0
    full_symbol: I2/m-3
    int_number: 204
    order: 48
    patterson_symmetry: Im-3
    point_group: m-3
  Im-3m:
    enc: 15aDDDbOOOcOOOdOOOeOOO0
    full_symbol: I4/m-32/m
    int_number: 229
    order: 96
    patterson_symmetry: Im-3m
    point_group: m-3m
  Ima2:
    enc: 03aDDDbOOOjDOO0
    full_symbol: Ima2
    int_number: 46
    order: 8
    patterson_symmetry: Immm
    point_group: mm2
  Imm2:
    enc: 03aDDDbOOOjOOO0
    full_symbol: Imm2
    int_number: 44
    order: 8
    patterson_symmetry: Immm
    point_group: mm2
  Imma:
    enc: 13aDDDbODOcODO0
    full_symbol: I2_1/m2_1/m2_1/a
    int_number: 74
    order: 16
    patterson_symmetry: Immm
    point_group: mmm
  Immm:
    enc: 13aDDDbOOOcOOO0
    full_symbol: I2/m2/m2/m
    int_number: 71
    order: 16
    patterson_symmetry: Immm
    point_group: mmm
  P-1:
    enc: '100'
    full_symbol: P-1
    int_number: 2
    order: 2
    patterson_symmetry: P-1
    point_group: '-1'
  P-3:
    enc: 11nOOO0
    full_symbol: P-3
    int_number: 147
    order: 6
    patterson_symmetry: P-3
    point_group: '-3'
  P-31c:
    enc: 12nOOOfOOD0
    full_symbol: P-312/c
    int_number: 163
    order: 12
    patterson_symmetry: P-31m
    point_group: -31m
  P-31m:
    enc: 12nOOOfOOO0
    full_symbol: P-312/m
    int_number: 162
    order: 12
    patterson_symmetry: P-31m
    point_group: -31m
  P-3c1:
    enc: 12nOOOeOOD0
    full_symbol: P-32/c1
    int_number: 165
    order: 12
    patterson_symmetry: P-3m1
    point_group: -3m1
  P-3m1:
    enc: 12nOOOeOOO0
    full_symbol: P-32/m1
    int_number: 164
    order: 12
    patterson_symmetry: P-3m1
    point_group: -3m1
  P-4:
    enc: 02bOOOmOOO0
    full_symbol: P-4
    int_number: 81
    order: 4
    patterson_symmetry: P4/m
    point_group: '-4'
  P-42_1c:
    enc: 03bOOOmOOOcDDD0
    full_symbol: P-42_1c
    int_number: 114
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -42m
  P-42_1m:
    enc: 03bOOOmOOOcDDO0
    full_symbol: P-42_1m
    int_number: 113
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -42m
  P-42c:
    enc: 03bOOOmOOOcOOD0
    full_symbol: P-42c
    int_number: 112
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -42m
  P-42m:
    enc: 03bOOOmOOOcOOO0
    full_symbol: P-42m
    int_number: 111
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -42m
  P-43m:
    enc: 04bOOOcOOOdOOOlOOO0
    full_symbol: P-43m
    int_number: 215
    order: 24
    patterson_symmetry: Pm-3m
    point_group: -43m
  P-43n:
    enc: 04bOOOcOOOdOOOlDDD0
    full_symbol: P-43n
    int_number: 218
    order: 24
    patterson_symmetry: Pm-3m
    point_group: -43m
  P-4b2:
    enc: 03bOOOmOOOjDDO0
    full_symbol: P-4b2
    int_number: 117
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -4m2
  P-4c2:
    enc: 03bOOOmOOOjOOD0
    full_symbol: P-4c2
    int_number: 116
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -4m2
  P-4m2:
    enc: 03bOOOmOOOjOOO0
    full_symbol: P-4m2
    int_number: 115
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -4m2
  P-4n2:
    enc: 03bOOOmOOOjDDD0
    full_symbol: P-4n2
    int_number: 118
    order: 8
    patterson_symmetry: P4/mmm
    point_group: -4m2
  P-6:
    enc: 02nOOOiOOO0
    full_symbol: P-6
    int_number: 174
    order: 6
    patterson_symmetry: P6/m
    point_group: '-6'
  P-62c:
    enc: 03nOOOiOODeOOO0
    full_symbol: P-62c
    int_number: 190
    order: 12
    patterson_symmetry: P6/mmm
    point_group: -62m
  P-62m:
    enc: 03nOOOiOOOeOOO0
    full_symbol: P-62m
    int_number: 189
    order: 12
    patterson_symmetry: P6/mmm
    point_group: -62m
  P-6c2:
    enc: 03nOOOiOODkOOD0
    full_symbol: P-6c2
    int_number: 188
    order: 12
    patterson_symmetry: P6/mmm
    point_group: -6m2
  P-6m2:
    enc: 03nOOOiOOOkOOO0
    full_symbol: P-6m2
    int_number: 187
    order: 12
    patterson_symmetry: P6/mmm
    point_group: -6m2
  P1:
    enc: '000'
    full_symbol: P1
    int_number: 1
    order: 1
    patterson_symmetry: P-1
    point_group: '1'
  P12/c1:
    enc: 11cOOD0
    full_symbol: P12/c1
    int_number: 13
    order: 4
    patterson_symmetry: P12/m1
    point_group: 2/m
  P12/m1:
    enc: 11cOOO0
    full_symbol: P12/m1
    int_number: 10
    order: 4
    patterson_symmetry: P12/m1
    point_group: 2/m
  P121:
    enc: 01cOOO0
    full_symbol: P121
    int_number: 3
    order: 2
    patterson_symmetry: P12/m1
    point_group: '2'
  P12_1/c1:
    enc: 11cODD0
    full_symbol: P12_1/c1
    int_number: 14
    order: 4
    patterson_symmetry: P12/m1
    point_group: 2/m
  P12_1/m1:
    enc: 11cODO0
    full_symbol: P12_1/m1
    int_number: 11
    order: 4
    patterson_symmetry: P12/m1
    point_group: 2/m
  P12_11:
    enc: 01cODO0
    full_symbol: P12_11
    int_number: 4
    order: 2
    patterson_symmetry: P12/m1
    point_group: '2'
  P1c1:
    enc: 01jOOD0
    full_symbol: P1c1
    int_number: 7
    order: 2
    patterson_symmetry: P12/m1
    point_group: m
  P1m1:
    enc: 01jOOO0
    full_symbol: P1m1
    int_number: 6
    order: 2
    patterson_symmetry: P12/m1
    point_group: m
  P222:
    enc: 02bOOOcOOO0
    full_symbol: P222
    int_number: 16
    order: 4
    patterson_symmetry: Pmmm
    point_group: '222'
  P222_1:
    enc: 02bOODcOOD0
    full_symbol: P222_1
    int_number: 17
    order: 4
    patterson_symmetry: Pmmm
    point_group: '222'
  P23:
    enc: 03bOOOcOOOdOOO0
    full_symbol: P23
    int_number: 195
    order: 12
    patterson_symmetry: Pm-3
    point_group: '23'
  P2_12_12:
    enc: 02bOOOcDDO0
    full_symbol: P2_12_12
    int_number: 18
    order: 4
    patterson_symmetry: Pmmm
    point_group: '222'
  P2_12_121:
    enc: 02bDODcODD0
    full_symbol: P2_12_12_1
    int_number: 19
    order: 4
    patterson_symmetry: Pmmm
    point_group: '222'
  P2_13:
    enc: 03bDODcODDdOOO0
    full_symbol: P2_13
    int_number: 198
    order: 12
    patterson_symmetry: Pm-3
    point_group: '23'
  P3:
    enc: 01nOOO0
    full_symbol: P3
    int_number: 143
    order: 3
    patterson_symmetry: P-3
    point_group: '3'
  P312:
    enc: 02nOOOfOOO0
    full_symbol: P312
    int_number: 149
    order: 6
    patterson_symmetry: P-31m
    point_group: '312'
  P31c:
    enc: 02nOOOlOOD0
    full_symbol: P31c
    int_number: 159
    order: 6
    patterson_symmetry: P-31m
    point_group: 31m
  P31m:
    enc: 02nOOOlOOO0
    full_symbol: P31m
    int_number: 157
    order: 6
    patterson_symmetry: P-31m
    point_group: 31m
  P321:
    enc: 02nOOOeOOO0
    full_symbol: P321
    int_number: 150
    order: 6
    patterson_symmetry: P-3m1
    point_group: '321'
  P3_1:
    enc: 01nOOC0
    full_symbol: P3_1
    int_number: 144
    order: 3
    patterson_symmetry: P-3
    point_group: '3'
  P3_112:
    enc: 02nOOCfOOE0
    full_symbol: P3_112
    int_number: 151
    order: 6
    patterson_symmetry: P-31m
    point_group: '312'
  P3_121:
    enc: 02nOOCeOOO0
    full_symbol: P3_121
    int_number: 152
    order: 6
    patterson_symmetry: P-3m1
    point_group: '321'
  P3_2:
    enc: 01nOOE0
    full_symbol: P3_2
    int_number: 145
    order: 3
    patterson_symmetry: P-3
    point_group: '3'
  P3_212:
    enc: 02nOOEfOOC0
    full_symbol: P3_212
    int_number: 153
    order: 6
    patterson_symmetry: P-31m
    point_group: '312'
  P3_221:
    enc: 02nOOEeOOO0
    full_symbol: P3_221
    int_number: 154
    order: 6
    patterson_symmetry: P-3m1
    point_group: '321'
  P3c1:
    enc: 02nOOOkOOD0
    full_symbol: P3c1
    int_number: 158
    order: 6
    patterson_symmetry: P-3m1
    point_group: 3m1
  P3m1:
    enc: 02nOOOkOOO0
    full_symbol: P3m1
    int_number: 156
    order: 6
    patterson_symmetry: P-3m1
    point_group: 3m1
  P4:
    enc: 02bOOOgOOO0
    full_symbol: P4
    int_number: 75
    order: 4
    patterson_symmetry: P4/m
    point_group: '4'
  P4/m:
    enc: 12bOOOgOOO0
    full_symbol: P4/m
    int_number: 83
    order: 8
    patterson_symmetry: P4/m
    point_group: 4/m
  P4/mbm:
    enc: 13bOOOgOOOcDDO0
    full_symbol: P4/m2_1/b2/m
    int_number: 127
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4/mcc:
    enc: 13bOOOgOOOcOOD0
    full_symbol: P4/m2/c2/c
    int_number: 124
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4/mmm:
    enc: 13bOOOgOOOcOOO0
    full_symbol: P4/m2/m2/m
    int_number: 123
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4/mnc:
    enc: 13bOOOgOOOcDDD0
    full_symbol: P4/m2_1/n2/c
    int_number: 128
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4/n:
    enc: 03bOOOgDDOhDDO1YBO
    full_symbol: P4/n
    int_number: 85
    order: 8
    patterson_symmetry: P4/m
    point_group: 4/m
  P4/nbm:
    enc: 04bOOOgOOOcOOOhDDO1YYO
    full_symbol: P4/n2/b2/m
    int_number: 125
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4/ncc:
    enc: 04bOOOgDDOcDDDhDDO1YBO
    full_symbol: P4/n2_1/c2/c
    int_number: 130
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4/nmm:
    enc: 04bOOOgDDOcDDOhDDO1YBO
    full_symbol: P4/n2_1/m2/m
    int_number: 129
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4/nnc:
    enc: 04bOOOgOOOcOOOhDDD1YYY
    full_symbol: P4/n2/n2/c
    int_number: 126
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P422:
    enc: 03bOOOgOOOcOOO0
    full_symbol: P422
    int_number: 89
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P42_12:
    enc: 03bOOOgDDOcDDO0
    full_symbol: P42_12
    int_number: 90
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P432:
    enc: 04bOOOcOOOdOOOeOOO0
    full_symbol: P432
    int_number: 207
    order: 24
    patterson_symmetry: Pm-3m
    point_group: '432'
  P4_1:
    enc: 02bOODgOOB0
    full_symbol: P4_1
    int_number: 76
    order: 4
    patterson_symmetry: P4/m
    point_group: '4'
  P4_122:
    enc: 03bOODgOOBcOOO0
    full_symbol: P4_122
    int_number: 91
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P4_12_12:
    enc: 03bOODgDDBcDDB0
    full_symbol: P4_12_12
    int_number: 92
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P4_132:
    enc: 04bDODcODDdOOOeFBB0
    full_symbol: P4_132
    int_number: 213
    order: 24
    patterson_symmetry: Pm-3m
    point_group: '432'
  P4_2:
    enc: 02bOOOgOOD0
    full_symbol: P4_2
    int_number: 77
    order: 4
    patterson_symmetry: P4/m
    point_group: '4'
  P4_2/m:
    enc: 12bOOOgOOD0
    full_symbol: P4_2/m
    int_number: 84
    order: 8
    patterson_symmetry: P4/m
    point_group: 4/m
  P4_2/mbc:
    enc: 13bOOOgOODcDDO0
    full_symbol: P4_2/m2_1/b2/c
    int_number: 135
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_2/mcm:
    enc: 13bOOOgOODcOOD0
    full_symbol: P4_2/m2/c2/m
    int_number: 132
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_2/mmc:
    enc: 13bOOOgOODcOOO0
    full_symbol: P4_2/m2/m2/c
    int_number: 131
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_2/mnm:
    enc: 13bOOOgDDDcDDD0
    full_symbol: P4_2/m2_1/n2/m
    int_number: 136
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_2/n:
    enc: 03bOOOgDDDhDDD1YYY
    full_symbol: P4_2/n
    int_number: 86
    order: 8
    patterson_symmetry: P4/m
    point_group: 4/m
  P4_2/nbc:
    enc: 04bOOOgDDDcOODhDDD1YBY
    full_symbol: P4_2/n2/b2/c
    int_number: 133
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_2/ncm:
    enc: 04bOOOgDDDcDDOhDDD1YBY
    full_symbol: P4_2/n2_1/c2/m
    int_number: 138
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_2/nmc:
    enc: 04bOOOgDDDcDDDhDDD1YBY
    full_symbol: P4_2/n2_1/m2/c
    int_number: 137
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_2/nnm:
    enc: 04bOOOgDDDcOOOhDDD1YBY
    full_symbol: P4_2/n2/n2/m
    int_number: 134
    order: 16
    patterson_symmetry: P4/mmm
    point_group: 4/mmm
  P4_222:
    enc: 03bOOOgOODcOOO0
    full_symbol: P4_222
    int_number: 93
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P4_22_12:
    enc: 03bOOOgDDDcDDD0
    full_symbol: P4_22_12
    int_number: 94
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P4_232:
    enc: 04bOOOcOOOdOOOeDDD0
    full_symbol: P4_232
    int_number: 208
    order: 24
    patterson_symmetry: Pm-3m
    point_group: '432'
  P4_2bc:
    enc: 03bOOOgOODjDDO0
    full_symbol: P4_2bc
    int_number: 106
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P4_2cm:
    enc: 03bOOOgOODjOOD0
    full_symbol: P4_2cm
    int_number: 101
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P4_2mc:
    enc: 03bOOOgOODjOOO0
    full_symbol: P4_2mc
    int_number: 105
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P4_2nm:
    enc: 03bOOOgDDDjDDD0
    full_symbol: P4_2nm
    int_number: 102
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P4_3:
    enc: 02bOODgOOF0
    full_symbol: P4_3
    int_number: 78
    order: 4
    patterson_symmetry: P4/m
    point_group: '4'
  P4_322:
    enc: 03bOODgOOFcOOO0
    full_symbol: P4_322
    int_number: 95
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P4_32_12:
    enc: 03bOODgDDFcDDF0
    full_symbol: P4_32_12
    int_number: 96
    order: 8
    patterson_symmetry: P4/mmm
    point_group: '422'
  P4_332:
    enc: 04bDODcODDdOOOeBFF0
    full_symbol: P4_332
    int_number: 212
    order: 24
    patterson_symmetry: Pm-3m
    point_group: '432'
  P4bm:
    enc: 03bOOOgOOOjDDO0
    full_symbol: P4bm
    int_number: 100
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P4cc:
    enc: 03bOOOgOOOjOOD0
    full_symbol: P4cc
    int_number: 103
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P4mm:
    enc: 03bOOOgOOOjOOO0
    full_symbol: P4mm
    int_number: 99
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P4nc:
    enc: 03bOOOgOOOjDDD0
    full_symbol: P4nc
    int_number: 104
    order: 8
    patterson_symmetry: P4/mmm
    point_group: 4mm
  P6:
    enc: 02nOOObOOO0
    full_symbol: P6
    int_number: 168
    order: 6
    patterson_symmetry: P6/m
    point_group: '6'
  P6/m:
    enc: 12nOOObOOO0
    full_symbol: P6/m
    int_number: 175
    order: 12
    patterson_symmetry: P6/m
    point_group: 6/m
  P6/mcc:
    enc: 13nOOObOOOeOOD0
    full_symbol: P6/m2/c2/c
    int_number: 192
    order: 24
    patterson_symmetry: P6/mmm
    point_group: 6/mmm
  P6/mmm:
    enc: 13nOOObOOOeOOO0
    full_symbol: P6/m2/m2/m
    int_number: 191
    order: 24
    patterson_symmetry: P6/mmm
    point_group: 6/mmm
  P622:
    enc: 03nOOObOOOeOOO0
    full_symbol: P622
    int_number: 177
    order: 12
    patterson_symmetry: P6/mmm
    point_group: '622'
  P6_1:
    enc: 02nOOCbOOD0
    full_symbol: P6_1
    int_number: 169
    order: 6
    patterson_symmetry: P6/m
    point_group: '6'
  P6_122:
    enc: 03nOOCbOODeOOC0
    full_symbol: P6_122
    int_number: 178
    order: 12
    patterson_symmetry: P6/mmm
    point_group: '622'
  P6_2:
    enc: 02nOOEbOOO0
    full_symbol: P6_2
    int_number: 171
    order: 6
    patterson_symmetry: P6/m
    point_group: '6'
  P6_222:
    enc: 03nOOEbOOOeOOE0
    full_symbol: P6_222
    int_number: 180
    order: 12
    patterson_symmetry: P6/mmm
    point_group: '622'
  P6_3:
    enc: 02nOOObOOD0
    full_symbol: P6_3
    int_number: 173
    order: 6
    patterson_symmetry: P6/m
    point_group: '6'
  P6_3/m:
    enc: 12nOOObOOD0
    full_symbol: P6_3/m
    int_number: 176
    order: 12
    patterson_symmetry: P6/m
    point_group: 6/m
  P6_3/mcm:
    enc: 13nOOObOODeOOD0
    full_symbol: P6_3/m2/c2/m
    int_number: 193
    order: 24
    patterson_symmetry: P6/mmm
    point_group: 6/mmm
  P6_3/mmc:
    enc: 13nOOObOODeOOO0
    full_symbol: P6_3/m2/m2/c
    int_number: 194
    order: 24
    patterson_symmetry: P6/mmm
    point_group: 6/mmm
  P6_322:
    enc: 03nOOObOODeOOO0
    full_symbol: P6_322
    int_number: 182
    order: 12
    patterson_symmetry: P6/mmm
    point_group: '622'
  P6_3cm:
    enc: 03nOOObOODkOOD0
    full_symbol: P6_3cm
    int_number: 185
    order: 12
    patterson_symmetry: P6/mmm
    point_group: 6mm
  P6_3mc:
    enc: 03nOOObOODkOOO0
    full_symbol: P6_3mc
    int_number: 186
    order: 12
    patterson_symmetry: P6/mmm
    point_group: 6mm
  P6_4:
    enc: 02nOOCbOOO0
    full_symbol: P6_4
    int_number: 172
    order: 6
    patterson_symmetry: P6/m
    point_group: '6'
  P6_422:
    enc: 03nOOCbOOOeOOC0
    full_symbol: P6_422
    int_number: 181
    order: 12
    patterson_symmetry: P6/mmm
    point_group: '622'
  P6_5:
    enc: 02nOOEbOOD0
    full_symbol: P6_5
    int_number: 170
    order: 6
    patterson_symmetry: P6/m
    point_group: '6'
  P6_522:
    enc: 03nOOEbOODeOOE0
    full_symbol: P6_522
    int_number: 179
    order: 12
    patterson_symmetry: P6/mmm
    point_group: '622'
  P6cc:
    enc: 03nOOObOOOkOOD0
    full_symbol: P6cc
    int_number: 184
    order: 12
    patterson_symmetry: P6/mmm
    point_group: 6mm
  P6mm:
    enc: 03nOOObOOOkOOO0
    full_symbol: P6mm
    int_number: 183
    order: 12
    patterson_symmetry: P6/mmm
    point_group: 6mm
  Pa-3:
    enc: 13bDODcODDdOOO0
    full_symbol: P2_1/a-3
    int_number: 205
    order: 24
    patterson_symmetry: Pm-3
    point_group: m-3
  Pba2:
    enc: 02bOOOjDDO0
    full_symbol: Pba2
    int_number: 32
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pbam:
    enc: 12bOOOcDDO0
    full_symbol: P2_1/b2_1/a2/m
    int_number: 55
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pban:
    enc: 03bOOOcOOOhDDO1BBO
    full_symbol: P2/b2/a2/n
    int_number: 50
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pbca:
    enc: 12bDODcODD0
    full_symbol: P2_1/b2_1/c2_1/a
    int_number: 61
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pbcm:
    enc: 12bOODcODD0
    full_symbol: P2/b2_1/c2_1/m
    int_number: 57
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pbcn:
    enc: 12bDDDcOOD0
    full_symbol: P2_1/b2/c2_1/n
    int_number: 60
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pca2_1:
    enc: 02bOODjDOO0
    full_symbol: Pca2_1
    int_number: 29
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pcc2:
    enc: 02bOOOjOOD0
    full_symbol: Pcc2
    int_number: 27
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pcca:
    enc: 12bDOOcOOD0
    full_symbol: P2_1/c2/c2/a
    int_number: 54
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pccm:
    enc: 12bOOOcOOD0
    full_symbol: P2/c2/c2/m
    int_number: 49
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pccn:
    enc: 12bDDOcODD0
    full_symbol: P2_1/c2_1/c2/n
    int_number: 56
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pm-3:
    enc: 13bOOOcOOOdOOO0
    full_symbol: P2/m-3
    int_number: 200
    order: 24
    patterson_symmetry: Pm-3
    point_group: m-3
  Pm-3m:
    enc: 14bOOOcOOOdOOOeOOO0
    full_symbol: P4/m-32/m
    int_number: 221
    order: 48
    patterson_symmetry: Pm-3m
    point_group: m-3m
  Pm-3n:
    enc: 14bOOOcOOOdOOOeDDD0
    full_symbol: P4_2/m-32/n
    int_number: 223
    order: 48
    patterson_symmetry: Pm-3m
    point_group: m-3m
  Pma2:
    enc: 02bOOOjDOO0
    full_symbol: Pma2
    int_number: 28
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pmc2_1:
    enc: 02bOODjOOD0
    full_symbol: Pmc2_1
    int_number: 26
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pmm2:
    enc: 02bOOOjOOO0
    full_symbol: Pmm2
    int_number: 25
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pmma:
    enc: 12bDOOcOOO0
    full_symbol: P2_1/m2/m2/a
    int_number: 51
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pmmm:
    enc: 12bOOOcOOO0
    full_symbol: P2/m2/m2/m
    int_number: 47
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pmmn:
    enc: 03bOOOcDDOhDDO1BBO
    full_symbol: P2_1/m2_1/m2/n
    int_number: 59
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pmn2_1:
    enc: 02bDODjDOD0
    full_symbol: Pmn2_1
    int_number: 31
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pmna:
    enc: 12bDODcDOD0
    full_symbol: P2/m2/n2_1/a
    int_number: 53
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pn-3:
    enc: 04bOOOcOOOdOOOhDDD1YYY
    full_symbol: P2/n-3
    int_number: 201
    order: 24
    patterson_symmetry: Pm-3
    point_group: m-3
  Pn-3m:
    enc: 05bOOOcOOOdOOOeDDDhDDD1YYY
    full_symbol: P4_2/n-32/m
    int_number: 224
    order: 48
    patterson_symmetry: Pm-3m
    point_group: m-3m
  Pn-3n:
    enc: 05bOOOcOOOdOOOeOOOhDDD1YYY
    full_symbol: P4/n-32/n
    int_number: 222
    order: 48
    patterson_symmetry: Pm-3m
    point_group: m-3m
  Pna2_1:
    enc: 02bOODjDDO0
    full_symbol: Pna2_1
    int_number: 33
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pnc2:
    enc: 02bOOOjODD0
    full_symbol: Pnc2
    int_number: 30
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pnma:
    enc: 12bDODcODO0
    full_symbol: P2_1/n2_1/m2_1/a
    int_number: 62
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pnn2:
    enc: 02bOOOjDDD0
    full_symbol: Pnn2
    int_number: 34
    order: 4
    patterson_symmetry: Pmmm
    point_group: mm2
  Pnna:
    enc: 12bDOOcDDD0
    full_symbol: P2/n2_1/n2/a
    int_number: 52
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pnnm:
    enc: 12bOOOcDDD0
    full_symbol: P2_1/n2_1/n2/m
    int_number: 58
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  Pnnn:
    enc: 03bOOOcOOOhDDD1BBB
    full_symbol: P2/n2/n2/n
    int_number: 48
    order: 8
    patterson_symmetry: Pmmm
    point_group: mmm
  R-3:
    enc: 11dOOO0
    full_symbol: R-3
    int_number: 148
    order: 6
    patterson_symmetry: R-3
    point_group: '-3'
  R-3H:
    enc: 12aECCnOOO0
    full_symbol: R-3
    int_number: 148
    order: 18
    patterson_symmetry: R-3
    point_group: '-3'
  R-3c:
    enc: 12dOOOfDDD0
    full_symbol: R-32/c
    int_number: 167
    order: 12
    patterson_symmetry: R-3m
    point_group: -3m
  R-3cH:
    enc: 13aECCnOOOeOOD0
    full_symbol: R-32/c
    int_number: 167
    order: 36
    patterson_symmetry: R-3m
    point_group: -3m
  R-3m:
    enc: 12dOOOfOOO0
    full_symbol: R-32/m
    int_number: 166
    order: 12
    patterson_symmetry: R-3m
    point_group: -3m
  R-3mH:
    enc: 13aECCnOOOeOOO0
    full_symbol: R-32/m
    int_number: 166
    order: 36
    patterson_symmetry: R-3m
    point_group: -3m
  R3:
    enc: 01dOOO0
    full_symbol: R3
    int_number: 146
    order: 3
    patterson_symmetry: R-3
    point_group: '3'
  R32:
    enc: 02dOOOfOOO0
    full_symbol: R32
    int_number: 155
    order: 6
    patterson_symmetry: R-3m
    point_group: '32'
  R32H:
    enc: 03aECCnOOOeOOO0
    full_symbol: R32
    int_number: 155
    order: 18
    patterson_symmetry: R-3m
    point_group: '32'
  R3H:
    enc: 02aECCnOOO0
    full_symbol: R3
    int_number: 146
    order: 9
    patterson_symmetry: R-3
    point_group: '3'
  R3c:
    enc: 02dOOOlDDD0
    full_symbol: R3c
    int_number: 161
    order: 6
    patterson_symmetry: R-3m
    point_group: 3m
  R3cH:
    enc: 03aECCnOOOkOOD0
    full_symbol: R3c
    int_number: 161
    order: 18
    patterson_symmetry: R-3m
    point_group: 3m
  R3m:
    enc: 02dOOOlOOO0
    full_symbol: R3m
    int_number: 160
    order: 6
    patterson_symmetry: R-3m
    point_group: 3m
  R3mH:
    enc: 03aECCnOOOkOOO0
    full_symbol: R3m
    int_number: 160
    order: 18
    patterson_symmetry: R-3m
    point_group: 3m
translations:
  A: 1/6
  B: 1/4
  C: 1/3
  D: 1/2
  E: 2/3
  F: 3/4
  G: 5/6
  O: '0'
  X: -3/8
  Y: -1/4
  Z: -1/8