| Name | Number | Symmetry Class | Systre nets |
|---|---|---|---|
| P42cm | 101 | tetragonal | 0 |
| P42nm | 102 | tetragonal | 0 |
| P4cc | 103 | tetragonal | 0 |
| P4nc | 104 | tetragonal | 0 |
| P42mc | 105 | tetragonal | 0 |
| P42bc | 106 | tetragonal | 0 |
| I4mm | 107 | tetragonal | 0 |
| I4cm | 108 | tetragonal | 0 |
| I41md | 109 | tetragonal | 0 |
| I41cd | 110 | tetragonal | 0 |
| P-42m | 111 | tetragonal | 208 |
| P-42c | 112 | tetragonal | 0 |
| P-421m | 113 | tetragonal | 0 |
| P-421c | 114 | tetragonal | 0 |
| P-4m2 | 115 | tetragonal | 97 |
| P-4c2 | 116 | tetragonal | 0 |
| P-4b2 | 117 | tetragonal | 0 |
| P-4n2 | 118 | tetragonal | 0 |
| I-4m2 | 119 | tetragonal | 162 |
| I-4c2 | 120 | tetragonal | 3 |
| I-42m | 121 | tetragonal | 15 |
| I-42d | 122 | tetragonal | 320 |
| P4/mmm | 123 | tetragonal | 903 |
| P4/mcc | 124 | tetragonal | 0 |
| P4/nbm | 125 | tetragonal | 0 |
| P4/nnc | 126 | tetragonal | 0 |
| P4/mbm | 127 | tetragonal | 0 |
| P4/mnc | 128 | tetragonal | 0 |
| P4/nmm | 129 | tetragonal | 135 |
| P4/ncc | 130 | tetragonal | 0 |
| P42/mmc | 131 | tetragonal | 364 |
| P42/mcm | 132 | tetragonal | 26 |
| P42/nbc | 133 | tetragonal | 0 |
| P42/nnm | 134 | tetragonal | 530 |
| P42/mbc | 135 | tetragonal | 0 |
| P42/mnm | 136 | tetragonal | 0 |
| P42/nmc | 137 | tetragonal | 0 |
| P42/ncm | 138 | tetragonal | 0 |
| I4/mmm | 139 | tetragonal | 571 |
| I4/mcm | 140 | tetragonal | 7 |
| I41/amd | 141 | tetragonal | 389 |
| I41/acd | 142 | tetragonal | 601 |
| P3 | 143 | rhombohedral | 0 |
| P31 | 144 | rhombohedral | 0 |
| P32 | 145 | rhombohedral | 0 |
| R3 | 146 | rhombohedral | 0 |
| P-3 | 147 | rhombohedral | 0 |
| R-3 | 148 | rhombohedral | 213 |
| P312 | 149 | rhombohedral | 0 |
| P321 | 150 | rhombohedral | 0 |
| P3112 | 151 | rhombohedral | 0 |
| P3121 | 152 | rhombohedral | 0 |
| P3212 | 153 | rhombohedral | 0 |
| P3221 | 154 | rhombohedral | 0 |
| R32 | 155 | rhombohedral | 0 |
| P3m1 | 156 | rhombohedral | 0 |
| P31m | 157 | rhombohedral | 0 |
| P3c1 | 158 | rhombohedral | 0 |
| P31c | 159 | rhombohedral | 0 |
| R3m | 160 | rhombohedral | 0 |
| R3c | 161 | rhombohedral | 0 |
| P-31m | 162 | rhombohedral | 0 |
| P-31c | 163 | rhombohedral | 0 |
| P-3m1 | 164 | rhombohedral | 0 |
| P-3c1 | 165 | rhombohedral | 0 |
| R-3m | 166 | rhombohedral | 458 |
| R-3c | 167 | rhombohedral | 29 |
| P6 | 168 | hexagonal | 0 |
| P61 | 169 | hexagonal | 0 |
| P65 | 170 | hexagonal | 0 |
| P62 | 171 | hexagonal | 0 |
| P64 | 172 | hexagonal | 0 |
| P63 | 173 | hexagonal | 0 |
| P-6 | 174 | hexagonal | 0 |
| P6/m | 175 | hexagonal | 0 |
| P63/m | 176 | hexagonal | 0 |
| P622 | 177 | hexagonal | 0 |
| P6122 | 178 | hexagonal | 0 |
| P6522 | 179 | hexagonal | 0 |
| P6222 | 180 | hexagonal | 0 |
| P6422 | 181 | hexagonal | 0 |
| P6322 | 182 | hexagonal | 0 |
| P6mm | 183 | hexagonal | 0 |
| P6cc | 184 | hexagonal | 0 |
| P63cm | 185 | hexagonal | 0 |
| P63mc | 186 | hexagonal | 0 |
| P-6m2 | 187 | hexagonal | 0 |
| P-6c2 | 188 | hexagonal | 0 |
| P-62m | 189 | hexagonal | 0 |
| P-62c | 190 | hexagonal | 0 |
| P6/mmm | 191 | hexagonal | 5 |
| P6/mcc | 192 | hexagonal | 0 |
| P63/mcm | 193 | hexagonal | 0 |
| P63/mmc | 194 | hexagonal | 0 |
| P23 | 195 | cubic | 0 |
| F23 | 196 | cubic | 0 |
| I23 | 197 | cubic | 0 |
| P213 | 198 | cubic | 0 |
| I213 | 199 | cubic | 154 |
| Pm-3 | 200 | cubic | 0 |