Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
1487 conjugacy classes of subgroups.
The subgroup lattice has 746 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#13540 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#12605 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #392915 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #392462 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #149369 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #148986 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #148723 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #148632 | C2 | 1 | 2 | yes | maximal |
| 9 | #148631 | C2 | 1 | 2 | yes | maximal |
| 10 | #147201 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #146936 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C23×#97 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#2112 | C22 | 1 | 2 | yes | — |
| 14 | C22×#347 | C22 | 1 | 2 | yes | — |
| 15 | C2×#1946 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#1946 | C22 | 1 | 1 | yes | characteristic |
| 17 | #20834 | — | 2 | 1 | no | — |
| 18 | C2×#1849 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#1849 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#1810 | — | 2 | 1 | no | — |
| 21 | C2×#1810 | C22 | 1 | 2 | yes | — |
| 22 | C2×#1810 | C22 | 1 | 1 | yes | characteristic |
| 23 | #20658 | C22 | 1 | 1 | yes | characteristic |
| 24 | #20626 | — | 2 | 1 | no | — |
| 25 | #13540 | — | 2 | 4 | no | — |
| 26 | #12605 | — | 2 | 4 | no | — |
| 27 | C2×#1389 | C22 | 1 | 2 | yes | — |
| 28 | C2×#1388 | C22 | 1 | 2 | yes | — |
| 29 | C2×#1388 | C22 | 1 | 2 | yes | — |
| 30 | #12569 | C22 | 1 | 2 | yes | — |
| 31 | C2×#1385 | C22 | 1 | 2 | yes | — |
| 32 | #12563 | C22 | 1 | 2 | yes | — |
| 33 | #12561 | C22 | 1 | 2 | yes | — |
| 34 | #12559 | C22 | 1 | 2 | yes | — |
| 35 | C2×#1375 | C22 | 1 | 1 | yes | characteristic |
| 36 | C2×#1375 | C22 | 1 | 1 | yes | characteristic |
| 37 | #10883 | — | 2 | 1 | no | — |
| 38 | #10883 | — | 2 | 1 | no | — |
| 39 | #10865 | — | 2 | 1 | no | — |
| 40 | #10865 | C22 | 1 | 2 | yes | — |
| 41 | #10860 | C22 | 1 | 1 | yes | characteristic |
| 42 | #10860 | C22 | 1 | 1 | yes | characteristic |
| 43 | #10845 | — | 2 | 1 | no | — |
| 44 | #10719 | — | 2 | 1 | no | — |
| 45 | C24×C8 | D4 | 1 | 1 | yes | characteristic |
| 46 | C24×C8 | C23 | 1 | 1 | yes | characteristic |
| 47 | C23×C42 | D4 | 1 | 1 | yes | characteristic |
| 48 | C22×M32 | C23 | 1 | 2 | yes | — |
| 49 | C22×M32 | C23 | 1 | 2 | yes | — |
| 50 | C22×#108 | — | 2 | 1 | no | — |
| 51 | C22×#108 | — | 2 | 1 | no | — |
| 52 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 53 | C22×#108 | C23 | 1 | 2 | yes | — |
| 54 | C22×#108 | C23 | 1 | 2 | yes | — |
| 55 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 56 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 57 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 58 | C2×#424 | — | 2 | 1 | no | — |
| 59 | C2×#424 | — | 2 | 1 | no | — |
| 60 | C2×#423 | — | 2 | 1 | no | — |
| 61 | C2×#423 | — | 2 | 1 | no | — |
| 62 | C2×#407 | — | 2 | 1 | no | — |
| 63 | C2×#407 | — | 2 | 2 | no | — |
| 64 | C22×#97 | — | 2 | 2 | no | — |
| 65 | C22×#97 | — | 2 | 4 | no | — |
| 66 | C22×#97 | — | 2 | 2 | no | — |
| 67 | C22×#97 | — | 4 | 2 | no | — |
| 68 | C22×#97 | D4 | 1 | 1 | yes | characteristic |
| 69 | C22×#97 | D4 | 1 | 1 | yes | characteristic |
| 70 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 71 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 72 | #2280 | — | 2 | 1 | no | — |
| 73 | #2112 | — | 2 | 4 | no | — |
| 74 | #2112 | — | 2 | 4 | no | — |
| 75 | C2×C22⋊C16 | — | 2 | 4 | no | — |
| 76 | C2×#347 | — | 2 | 4 | no | — |
| 77 | C2×#347 | — | 2 | 4 | no | — |
| 78 | C2×#347 | — | 4 | 2 | no | — |
| 79 | #1946 | — | 2 | 2 | no | — |
| 80 | #1946 | — | 2 | 2 | no | — |
| 81 | #1946 | — | 2 | 4 | no | — |
| 82 | #1850 | — | 4 | 4 | no | — |
| 83 | #1849 | — | 2 | 2 | no | — |
| 84 | #1849 | — | 2 | 2 | no | — |
| 85 | #1849 | — | 4 | 2 | no | — |
| 86 | #1810 | — | 2 | 4 | no | — |
| 87 | #1810 | — | 2 | 4 | no | — |
| 88 | #1810 | — | 4 | 2 | no | — |
| 89 | #1810 | — | 4 | 4 | no | — |
| 90 | #1808 | — | 2 | 2 | no | — |
| 91 | #1807 | — | 2 | 2 | no | — |
| 92 | #1797 | — | 4 | 4 | no | — |
| 93 | C2×#341 | — | 2 | 2 | no | — |
| 94 | C2×#341 | — | 2 | 2 | no | — |
| 95 | C2×#341 | — | 2 | 1 | no | — |
| 96 | #1735 | — | 2 | 1 | no | — |
| 97 | C2×#339 | — | 2 | 1 | no | — |
| 98 | C2×#339 | — | 2 | 1 | no | — |
| 99 | C2×#339 | — | 2 | 1 | no | — |
| 100 | C2×#339 | — | 2 | 1 | no | — |
| 101 | #1729 | — | 2 | 1 | no | — |
| 102 | #1729 | — | 2 | 1 | no | — |
| 103 | #1728 | — | 2 | 2 | no | — |
| 104 | #1389 | — | 2 | 4 | no | — |
| 105 | #1388 | — | 2 | 4 | no | — |
| 106 | #1388 | — | 4 | 2 | no | — |
| 107 | #1387 | — | 2 | 4 | no | — |
| 108 | #1385 | — | 4 | 2 | no | — |
| 109 | #1383 | — | 2 | 4 | no | — |
| 110 | #1382 | — | 2 | 4 | no | — |
| 111 | #1381 | — | 2 | 4 | no | — |
| 112 | #1375 | — | 2 | 2 | no | — |
| 113 | #1375 | D4 | 1 | 4 | yes | — |
| 114 | C24×C4 | — | 2 | 1 | no | — |
| 115 | C24×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 116 | C22×M16 | — | 2 | 2 | no | — |
| 117 | C22×M16 | — | 2 | 2 | no | — |
| 118 | C22×M16 | — | 2 | 1 | no | — |
| 119 | C22×M16 | — | 2 | 1 | no | — |
| 120 | C23×C8 | — | 2 | 2 | no | — |
| 121 | C23×C8 | — | 2 | 2 | no | — |
| 122 | C23×C8 | — | 2 | 2 | no | — |
| 123 | C23×C8 | — | 2 | 1 | no | — |
| 124 | C23×C8 | — | 2 | 1 | no | — |
| 125 | C23×C8 | — | 2 | 1 | no | — |
| 126 | C23×C8 | — | 2 | 1 | no | — |
| 127 | C23×C8 | — | 2 | 2 | no | — |
| 128 | C23×C8 | — | 2 | 2 | no | — |
| 129 | C23×C8 | — | 2 | 2 | no | — |
| 130 | C23×C8 | — | 2 | 1 | no | — |
| 131 | C23×C8 | — | 2 | 1 | no | — |
| 132 | C23×C8 | — | 2 | 2 | no | — |
| 133 | C23×C8 | — | 2 | 2 | no | — |
| 134 | C23×C8 | — | 4 | 1 | no | — |
| 135 | C23×C8 | — | 4 | 1 | no | — |
| 136 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C23×C8 | #41 | 1 | 4 | yes | — |
| 140 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 141 | C2×#117 | — | 2 | 1 | no | — |
| 142 | C2×#117 | — | 2 | 1 | no | — |
| 143 | C22×C42 | — | 2 | 1 | no | — |
| 144 | C22×C42 | — | 2 | 2 | no | — |
| 145 | C22×C42 | — | 2 | 2 | no | — |
| 146 | C22×C42 | — | 2 | 2 | no | — |
| 147 | C22×C42 | — | 2 | 2 | no | — |
| 148 | C22×C42 | — | 4 | 1 | no | — |
| 149 | C22×C42 | — | 4 | 1 | no | — |
| 150 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 151 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×M32 | — | 2 | 2 | no | — |
| 153 | C2×M32 | — | 2 | 2 | no | — |
| 154 | C2×M32 | — | 2 | 2 | no | — |
| 155 | C2×M32 | — | 2 | 2 | no | — |
| 156 | C2×M32 | — | 2 | 2 | no | — |
| 157 | C2×M32 | — | 2 | 2 | no | — |
| 158 | C2×M32 | — | 2 | 2 | no | — |
| 159 | C2×M32 | — | 2 | 2 | no | — |
| 160 | C2×M32 | — | 2 | 2 | no | — |
| 161 | C2×M32 | — | 2 | 2 | no | — |
| 162 | C2×M32 | — | 2 | 2 | no | — |
| 163 | C2×M32 | C2×D4 | 1 | 4 | yes | — |
| 164 | C22×C16 | — | 2 | 2 | no | — |
| 165 | C22×C16 | #41 | 1 | 4 | yes | — |
| 166 | C2×#108 | — | 2 | 2 | no | — |
| 167 | C2×#108 | — | 2 | 1 | no | — |
| 168 | C2×#108 | — | 2 | 2 | no | — |
| 169 | C2×#108 | — | 2 | 2 | no | — |
| 170 | C2×#108 | — | 2 | 2 | no | — |
| 171 | C2×#108 | — | 2 | 2 | no | — |
| 172 | C2×#108 | — | 2 | 2 | no | — |
| 173 | C2×#108 | — | 2 | 2 | no | — |
| 174 | C2×#108 | — | 2 | 2 | no | — |
| 175 | C2×#108 | — | 2 | 2 | no | — |
| 176 | C2×#108 | — | 2 | 2 | no | — |
| 177 | C2×#108 | — | 2 | 2 | no | — |
| 178 | C2×#108 | — | 2 | 2 | no | — |
| 179 | C2×#108 | — | 2 | 1 | no | — |
| 180 | C2×#108 | — | 2 | 2 | no | — |
| 181 | C2×#108 | — | 2 | 2 | no | — |
| 182 | C2×#108 | — | 2 | 2 | no | — |
| 183 | C2×#108 | — | 2 | 2 | no | — |
| 184 | C2×#108 | — | 2 | 1 | no | — |
| 185 | C2×#108 | — | 2 | 1 | no | — |
| 186 | C2×#108 | — | 4 | 2 | no | — |
| 187 | C2×#108 | — | 4 | 2 | no | — |
| 188 | C2×#108 | — | 4 | 2 | no | — |
| 189 | C2×#108 | — | 4 | 2 | no | — |
| 190 | C2×#108 | — | 4 | 2 | no | — |
| 191 | C2×#108 | — | 4 | 2 | no | — |
| 192 | #427 | — | 2 | 1 | no | — |
| 193 | #427 | — | 2 | 1 | no | — |
| 194 | #427 | — | 2 | 1 | no | — |
| 195 | #427 | — | 2 | 1 | no | — |
| 196 | #427 | — | 2 | 2 | no | — |
| 197 | #427 | — | 2 | 2 | no | — |
| 198 | C2×#107 | — | 2 | 1 | no | — |
| 199 | C2×#107 | #41 | 1 | 2 | yes | — |
| 200 | C2×#106 | — | 2 | 1 | no | — |
| 201 | C2×#106 | #41 | 1 | 2 | yes | — |
| 202 | #424 | — | 4 | 2 | no | — |
| 203 | #424 | — | 4 | 2 | no | — |
| 204 | #424 | — | 4 | 2 | no | — |
| 205 | #424 | — | 4 | 2 | no | — |
| 206 | #423 | — | 4 | 2 | no | — |
| 207 | #423 | — | 4 | 2 | no | — |
| 208 | #423 | — | 4 | 2 | no | — |
| 209 | #423 | — | 4 | 2 | no | — |
| 210 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 211 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 212 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 213 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 214 | #407 | — | 4 | 2 | no | — |
| 215 | #407 | — | 4 | 4 | no | — |
| 216 | #407 | — | 4 | 4 | no | — |
| 217 | #407 | — | 4 | 2 | no | — |
| 218 | C2×C22⋊C8 | — | 4 | 4 | no | — |
| 219 | C2×C22⋊C8 | — | 4 | 2 | no | — |
| 220 | C2×#97 | — | 2 | 1 | no | — |
| 221 | C2×#97 | — | 2 | 2 | no | — |
| 222 | C2×#97 | — | 2 | 1 | no | — |
| 223 | C2×#97 | — | 2 | 2 | no | — |
| 224 | C2×#97 | — | 2 | 2 | no | — |
| 225 | C2×#97 | — | 2 | 2 | no | — |
| 226 | C2×#97 | — | 2 | 2 | no | — |
| 227 | C2×#97 | — | 2 | 2 | no | — |
| 228 | C2×#97 | — | 2 | 2 | no | — |
| 229 | C2×#97 | — | 4 | 8 | no | — |
| 230 | C2×#97 | — | 4 | 8 | no | — |
| 231 | C2×#97 | — | 4 | 1 | no | — |
| 232 | C2×#97 | — | 4 | 1 | no | — |
| 233 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 234 | C2×#97 | #41 | 1 | 2 | yes | — |
| 235 | C2×#97 | #41 | 1 | 4 | yes | — |
| 236 | #381 | — | 4 | 1 | no | — |
| 237 | #380 | — | 2 | 4 | no | — |
| 238 | #379 | — | 4 | 1 | no | — |
| 239 | C4×C22⋊C4 | — | 4 | 2 | no | — |
| 240 | C22⋊C16 | — | 2 | 16 | no | — |
| 241 | #347 | — | 4 | 8 | no | — |
| 242 | #341 | — | 4 | 2 | no | — |
| 243 | #341 | — | 4 | 4 | no | — |
| 244 | #341 | — | 4 | 4 | no | — |
| 245 | #340 | — | 2 | 4 | no | — |
| 246 | #339 | — | 4 | 2 | no | — |
| 247 | #339 | — | 4 | 2 | no | — |
| 248 | #339 | — | 4 | 2 | no | — |
| 249 | #339 | — | 4 | 2 | no | — |
| 250 | #336 | — | 4 | 4 | no | — |
| 251 | #336 | — | 4 | 2 | no | — |
| 252 | #336 | — | 4 | 2 | no | — |
| 253 | C25 | #137 | 1 | 1 | yes | characteristic |
| 254 | C23×C4 | — | 2 | 1 | no | — |
| 255 | C23×C4 | — | 2 | 1 | no | — |
| 256 | C23×C4 | — | 2 | 1 | no | — |
| 257 | C23×C4 | — | 2 | 1 | no | — |
| 258 | C23×C4 | — | 2 | 1 | no | — |
| 259 | C23×C4 | — | 2 | 1 | no | — |
| 260 | C23×C4 | — | 2 | 1 | no | — |
| 261 | C23×C4 | — | 2 | 1 | no | — |
| 262 | C23×C4 | — | 2 | 1 | no | — |
| 263 | C23×C4 | — | 2 | 1 | no | — |
| 264 | C23×C4 | — | 2 | 1 | no | — |
| 265 | C23×C4 | — | 2 | 1 | no | — |
| 266 | C23×C4 | — | 2 | 1 | no | — |
| 267 | C23×C4 | — | 2 | 4 | no | — |
| 268 | C23×C4 | — | 2 | 1 | no | — |
| 269 | C23×C4 | — | 4 | 2 | no | — |
| 270 | C23×C4 | — | 4 | 2 | no | — |
| 271 | C23×C4 | — | 8 | 4 | no | — |
| 272 | C23×C4 | #124 | 1 | 2 | yes | — |
| 273 | C23×C4 | #137 | 1 | 2 | yes | — |
| 274 | C23×C4 | #137 | 1 | 1 | yes | characteristic |
| 275 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×M16 | — | 4 | 1 | no | — |
| 277 | C2×M16 | — | 4 | 2 | no | — |
| 278 | C2×M16 | — | 4 | 1 | no | — |
| 279 | C2×M16 | — | 4 | 2 | no | — |
| 280 | C2×M16 | — | 4 | 2 | no | — |
| 281 | C2×M16 | — | 4 | 2 | no | — |
| 282 | C2×M16 | — | 4 | 2 | no | — |
| 283 | C2×M16 | — | 4 | 1 | no | — |
| 284 | C2×M16 | — | 4 | 1 | no | — |
| 285 | C2×M16 | — | 4 | 1 | no | — |
| 286 | C2×M16 | — | 4 | 2 | no | — |
| 287 | C2×M16 | — | 4 | 1 | no | — |
| 288 | C2×M16 | — | 4 | 1 | no | — |
| 289 | C2×M16 | — | 4 | 2 | no | — |
| 290 | C2×M16 | — | 4 | 2 | no | — |
| 291 | C2×M16 | — | 4 | 1 | no | — |
| 292 | C2×M16 | — | 4 | 2 | no | — |
| 293 | C2×M16 | — | 4 | 1 | no | — |
| 294 | C2×M16 | — | 4 | 1 | no | — |
| 295 | C2×M16 | — | 4 | 2 | no | — |
| 296 | C2×M16 | — | 4 | 1 | no | — |
| 297 | C2×M16 | — | 4 | 2 | no | — |
| 298 | C2×M16 | — | 4 | 1 | no | — |
| 299 | C2×M16 | — | 4 | 2 | no | — |
| 300 | C22×C8 | — | 2 | 1 | no | — |
| 301 | C22×C8 | — | 2 | 1 | no | — |
| 302 | C22×C8 | — | 2 | 1 | no | — |
| 303 | C22×C8 | — | 2 | 1 | no | — |
| 304 | C22×C8 | — | 2 | 8 | no | — |
| 305 | C22×C8 | — | 2 | 1 | no | — |
| 306 | C22×C8 | — | 2 | 1 | no | — |
| 307 | C22×C8 | — | 2 | 1 | no | — |
| 308 | C22×C8 | — | 2 | 1 | no | — |
| 309 | C22×C8 | — | 2 | 1 | no | — |
| 310 | C22×C8 | — | 2 | 1 | no | — |
| 311 | C22×C8 | — | 2 | 1 | no | — |
| 312 | C22×C8 | — | 2 | 1 | no | — |
| 313 | C22×C8 | — | 2 | 1 | no | — |
| 314 | C22×C8 | — | 2 | 1 | no | — |
| 315 | C22×C8 | — | 2 | 1 | no | — |
| 316 | C22×C8 | — | 2 | 1 | no | — |
| 317 | C22×C8 | — | 2 | 4 | no | — |
| 318 | C22×C8 | — | 2 | 4 | no | — |
| 319 | C22×C8 | — | 2 | 4 | no | — |
| 320 | C22×C8 | — | 2 | 4 | no | — |
| 321 | C22×C8 | — | 2 | 4 | no | — |
| 322 | C22×C8 | — | 2 | 4 | no | — |
| 323 | C22×C8 | — | 4 | 4 | no | — |
| 324 | C22×C8 | — | 4 | 4 | no | — |
| 325 | C22×C8 | — | 4 | 4 | no | — |
| 326 | C22×C8 | — | 4 | 4 | no | — |
| 327 | C22×C8 | — | 4 | 4 | no | — |
| 328 | C22×C8 | — | 4 | 2 | no | — |
| 329 | C22×C8 | — | 4 | 2 | no | — |
| 330 | C22×C8 | — | 4 | 2 | no | — |
| 331 | C22×C8 | — | 4 | 2 | no | — |
| 332 | C22×C8 | — | 4 | 2 | no | — |
| 333 | C22×C8 | — | 4 | 1 | no | — |
| 334 | C22×C8 | — | 4 | 1 | no | — |
| 335 | C22×C8 | — | 4 | 2 | no | — |
| 336 | C22×C8 | — | 4 | 1 | no | — |
| 337 | C22×C8 | — | 4 | 1 | no | — |
| 338 | C22×C8 | — | 4 | 4 | no | — |
| 339 | C22×C8 | — | 4 | 1 | no | — |
| 340 | C22×C8 | — | 4 | 2 | no | — |
| 341 | C22×C8 | — | 4 | 2 | no | — |
| 342 | C22×C8 | — | 4 | 1 | no | — |
| 343 | C22×C8 | #121 | 1 | 2 | yes | — |
| 344 | C22×C8 | #123 | 1 | 2 | yes | — |
| 345 | C22×C8 | #124 | 1 | 2 | yes | — |
| 346 | C22×C8 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 347 | C22×C8 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 348 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 349 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 350 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 351 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 352 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 353 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 354 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 355 | C22×C8 | H(5,𝔽2) | 1 | 2 | yes | — |
| 356 | C22×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 357 | C22×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 358 | #117 | — | 4 | 1 | no | — |
| 359 | #117 | — | 4 | 1 | no | — |
| 360 | #117 | — | 4 | 1 | no | — |
| 361 | #117 | — | 4 | 1 | no | — |
| 362 | #117 | — | 4 | 1 | no | — |
| 363 | #117 | — | 4 | 1 | no | — |
| 364 | #117 | — | 4 | 1 | no | — |
| 365 | #117 | — | 4 | 1 | no | — |
| 366 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 367 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 368 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 369 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 370 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 371 | C2×C42 | — | 2 | 1 | no | — |
| 372 | C2×C42 | — | 2 | 1 | no | — |
| 373 | C2×C42 | — | 2 | 1 | no | — |
| 374 | C2×C42 | — | 2 | 1 | no | — |
| 375 | C2×C42 | — | 2 | 1 | no | — |
| 376 | C2×C42 | — | 2 | 1 | no | — |
| 377 | C2×C42 | — | 2 | 1 | no | — |
| 378 | C2×C42 | — | 2 | 4 | no | — |
| 379 | C2×C42 | — | 2 | 1 | no | — |
| 380 | C2×C42 | — | 4 | 4 | no | — |
| 381 | C2×C42 | — | 4 | 4 | no | — |
| 382 | C2×C42 | — | 4 | 4 | no | — |
| 383 | C2×C42 | — | 4 | 2 | no | — |
| 384 | C2×C42 | — | 4 | 2 | no | — |
| 385 | C2×C42 | — | 4 | 4 | no | — |
| 386 | C2×C42 | — | 4 | 1 | no | — |
| 387 | C2×C42 | — | 4 | 1 | no | — |
| 388 | C2×C42 | #121 | 1 | 2 | yes | — |
| 389 | C2×C42 | #123 | 1 | 2 | yes | — |
| 390 | C2×C42 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 391 | C2×C42 | #137 | 1 | 2 | yes | — |
| 392 | M32 | — | 2 | 4 | no | — |
| 393 | M32 | — | 2 | 4 | no | — |
| 394 | M32 | — | 4 | 2 | no | — |
| 395 | M32 | — | 4 | 2 | no | — |
| 396 | M32 | — | 4 | 2 | no | — |
| 397 | M32 | — | 4 | 2 | no | — |
| 398 | M32 | — | 4 | 2 | no | — |
| 399 | M32 | — | 4 | 2 | no | — |
| 400 | C2×C16 | — | 2 | 4 | no | — |
| 401 | C2×C16 | — | 2 | 4 | no | — |
| 402 | C2×C16 | — | 2 | 4 | no | — |
| 403 | C2×C16 | — | 2 | 4 | no | — |
| 404 | C2×C16 | — | 4 | 2 | no | — |
| 405 | C2×C16 | — | 4 | 2 | no | — |
| 406 | #108 | — | 4 | 2 | no | — |
| 407 | #108 | — | 4 | 2 | no | — |
| 408 | #108 | — | 4 | 2 | no | — |
| 409 | #108 | — | 4 | 2 | no | — |
| 410 | #108 | — | 4 | 2 | no | — |
| 411 | #108 | — | 4 | 2 | no | — |
| 412 | #108 | — | 4 | 2 | no | — |
| 413 | #108 | — | 4 | 2 | no | — |
| 414 | #108 | — | 4 | 2 | no | — |
| 415 | #108 | — | 4 | 2 | no | — |
| 416 | #108 | — | 4 | 2 | no | — |
| 417 | #108 | — | 4 | 2 | no | — |
| 418 | #108 | — | 8 | 4 | no | — |
| 419 | #108 | — | 8 | 4 | no | — |
| 420 | #107 | — | 2 | 4 | no | — |
| 421 | #107 | — | 4 | 1 | no | — |
| 422 | #107 | — | 4 | 1 | no | — |
| 423 | #106 | — | 2 | 2 | no | — |
| 424 | #106 | — | 2 | 2 | no | — |
| 425 | #106 | — | 4 | 2 | no | — |
| 426 | C4⋊C8 | — | 8 | 4 | no | — |
| 427 | C4⋊C8 | — | 8 | 4 | no | — |
| 428 | C4⋊C8 | — | 8 | 4 | no | — |
| 429 | C4⋊C8 | — | 8 | 4 | no | — |
| 430 | C22⋊C8 | — | 8 | 8 | no | — |
| 431 | C22⋊C8 | — | 8 | 4 | no | — |
| 432 | #97 | — | 2 | 4 | no | — |
| 433 | #97 | — | 2 | 4 | no | — |
| 434 | #97 | — | 2 | 4 | no | — |
| 435 | #97 | — | 2 | 4 | no | — |
| 436 | #97 | — | 4 | 4 | no | — |
| 437 | #97 | — | 4 | 4 | no | — |
| 438 | #95 | — | 4 | 4 | no | — |
| 439 | C24 | — | 2 | 1 | no | — |
| 440 | C24 | — | 2 | 1 | no | — |
| 441 | C24 | — | 2 | 1 | no | — |
| 442 | C24 | — | 2 | 1 | no | — |
| 443 | C24 | — | 2 | 1 | no | — |
| 444 | C24 | — | 2 | 1 | no | — |
| 445 | C24 | — | 4 | 4 | no | — |
| 446 | C24 | #491 | 1 | 2 | yes | — |
| 447 | C24 | C2×#137 | 1 | 1 | yes | characteristic |
| 448 | C22×C4 | — | 2 | 1 | no | — |
| 449 | C22×C4 | — | 2 | 2 | no | — |
| 450 | C22×C4 | — | 2 | 1 | no | — |
| 451 | C22×C4 | — | 2 | 1 | no | — |
| 452 | C22×C4 | — | 2 | 1 | no | — |
| 453 | C22×C4 | — | 2 | 1 | no | — |
| 454 | C22×C4 | — | 2 | 1 | no | — |
| 455 | C22×C4 | — | 2 | 2 | no | — |
| 456 | C22×C4 | — | 2 | 2 | no | — |
| 457 | C22×C4 | — | 2 | 2 | no | — |
| 458 | C22×C4 | — | 2 | 2 | no | — |
| 459 | C22×C4 | — | 2 | 2 | no | — |
| 460 | C22×C4 | — | 2 | 2 | no | — |
| 461 | C22×C4 | — | 2 | 2 | no | — |
| 462 | C22×C4 | — | 2 | 2 | no | — |
| 463 | C22×C4 | — | 2 | 2 | no | — |
| 464 | C22×C4 | — | 2 | 2 | no | — |
| 465 | C22×C4 | — | 2 | 2 | no | — |
| 466 | C22×C4 | — | 2 | 2 | no | — |
| 467 | C22×C4 | — | 2 | 2 | no | — |
| 468 | C22×C4 | — | 2 | 2 | no | — |
| 469 | C22×C4 | — | 2 | 2 | no | — |
| 470 | C22×C4 | — | 4 | 8 | no | — |
| 471 | C22×C4 | — | 4 | 1 | no | — |
| 472 | C22×C4 | — | 4 | 1 | no | — |
| 473 | C22×C4 | — | 4 | 1 | no | — |
| 474 | C22×C4 | — | 4 | 1 | no | — |
| 475 | C22×C4 | — | 4 | 1 | no | — |
| 476 | C22×C4 | — | 4 | 1 | no | — |
| 477 | C22×C4 | — | 4 | 1 | no | — |
| 478 | C22×C4 | — | 4 | 1 | no | — |
| 479 | C22×C4 | — | 4 | 1 | no | — |
| 480 | C22×C4 | — | 4 | 1 | no | — |
| 481 | C22×C4 | — | 4 | 1 | no | — |
| 482 | C22×C4 | — | 4 | 1 | no | — |
| 483 | C22×C4 | — | 4 | 1 | no | — |
| 484 | C22×C4 | — | 4 | 1 | no | — |
| 485 | C22×C4 | — | 4 | 1 | no | — |
| 486 | C22×C4 | — | 4 | 1 | no | — |
| 487 | C22×C4 | — | 4 | 8 | no | — |
| 488 | C22×C4 | — | 4 | 1 | no | — |
| 489 | C22×C4 | — | 4 | 1 | no | — |
| 490 | C22×C4 | — | 4 | 2 | no | — |
| 491 | C22×C4 | — | 4 | 2 | no | — |
| 492 | C22×C4 | — | 8 | 2 | no | — |
| 493 | C22×C4 | — | 8 | 4 | no | — |
| 494 | C22×C4 | — | 8 | 2 | no | — |
| 495 | C22×C4 | — | 8 | 8 | no | — |
| 496 | C22×C4 | — | 8 | 8 | no | — |
| 497 | C22×C4 | #491 | 1 | 2 | yes | — |
| 498 | C22×C4 | C2×#121 | 1 | 1 | yes | characteristic |
| 499 | C22×C4 | C2×#123 | 1 | 1 | yes | characteristic |
| 500 | C22×C4 | #525 | 1 | 1 | yes | characteristic |
| 501 | C22×C4 | C2×#124 | 1 | 1 | yes | characteristic |
| 502 | C22×C4 | #532 | 1 | 1 | yes | characteristic |
| 503 | C22×C4 | #534 | 1 | 1 | yes | characteristic |
| 504 | C22×C4 | #536 | 1 | 1 | yes | characteristic |
| 505 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 506 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 507 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 508 | C22×C4 | C2×#137 | 1 | 1 | yes | characteristic |
| 509 | C22×C4 | C2×#137 | 1 | 1 | yes | characteristic |
| 510 | C22×C4 | #575 | 1 | 1 | yes | characteristic |
| 511 | C22×C4 | #575 | 1 | 1 | yes | characteristic |
| 512 | M16 | — | 8 | 1 | no | — |
| 513 | M16 | — | 8 | 2 | no | — |
| 514 | M16 | — | 8 | 2 | no | — |
| 515 | M16 | — | 8 | 2 | no | — |
| 516 | M16 | — | 8 | 2 | no | — |
| 517 | M16 | — | 8 | 2 | no | — |
| 518 | M16 | — | 8 | 1 | no | — |
| 519 | M16 | — | 8 | 1 | no | — |
| 520 | M16 | — | 8 | 1 | no | — |
| 521 | M16 | — | 8 | 2 | no | — |
| 522 | M16 | — | 8 | 2 | no | — |
| 523 | M16 | — | 8 | 1 | no | — |
| 524 | M16 | — | 8 | 1 | no | — |
| 525 | M16 | — | 8 | 1 | no | — |
| 526 | M16 | — | 8 | 2 | no | — |
| 527 | M16 | — | 8 | 1 | no | — |
| 528 | C2×C8 | — | 2 | 2 | no | — |
| 529 | C2×C8 | — | 2 | 2 | no | — |
| 530 | C2×C8 | — | 2 | 2 | no | — |
| 531 | C2×C8 | — | 2 | 2 | no | — |
| 532 | C2×C8 | — | 2 | 2 | no | — |
| 533 | C2×C8 | — | 2 | 2 | no | — |
| 534 | C2×C8 | — | 2 | 2 | no | — |
| 535 | C2×C8 | — | 2 | 2 | no | — |
| 536 | C2×C8 | — | 2 | 2 | no | — |
| 537 | C2×C8 | — | 2 | 2 | no | — |
| 538 | C2×C8 | — | 2 | 2 | no | — |
| 539 | C2×C8 | — | 2 | 2 | no | — |
| 540 | C2×C8 | — | 4 | 16 | no | — |
| 541 | C2×C8 | — | 4 | 1 | no | — |
| 542 | C2×C8 | — | 4 | 1 | no | — |
| 543 | C2×C8 | — | 4 | 1 | no | — |
| 544 | C2×C8 | — | 4 | 1 | no | — |
| 545 | C2×C8 | — | 4 | 1 | no | — |
| 546 | C2×C8 | — | 4 | 1 | no | — |
| 547 | C2×C8 | — | 4 | 1 | no | — |
| 548 | C2×C8 | — | 4 | 1 | no | — |
| 549 | C2×C8 | — | 4 | 4 | no | — |
| 550 | C2×C8 | — | 4 | 4 | no | — |
| 551 | C2×C8 | — | 4 | 4 | no | — |
| 552 | C2×C8 | — | 4 | 4 | no | — |
| 553 | C2×C8 | — | 8 | 1 | no | — |
| 554 | C2×C8 | — | 8 | 2 | no | — |
| 555 | C2×C8 | — | 8 | 2 | no | — |
| 556 | C2×C8 | — | 8 | 2 | no | — |
| 557 | C2×C8 | — | 8 | 2 | no | — |
| 558 | C2×C8 | — | 8 | 1 | no | — |
| 559 | C2×C8 | — | 8 | 1 | no | — |
| 560 | C2×C8 | — | 8 | 1 | no | — |
| 561 | C2×C8 | — | 8 | 2 | no | — |
| 562 | C2×C8 | — | 8 | 1 | no | — |
| 563 | C2×C8 | — | 8 | 2 | no | — |
| 564 | C2×C8 | — | 8 | 1 | no | — |
| 565 | C2×C8 | #469 | 1 | 4 | yes | — |
| 566 | C2×C8 | #525 | 1 | 2 | yes | — |
| 567 | C2×C8 | #529 | 1 | 2 | yes | — |
| 568 | C2×C8 | #529 | 1 | 2 | yes | — |
| 569 | C2×C8 | #529 | 1 | 2 | yes | — |
| 570 | C2×C8 | #539 | 1 | 2 | yes | — |
| 571 | C2×C8 | #542 | 1 | 2 | yes | — |
| 572 | C2×C8 | #546 | 1 | 2 | yes | — |
| 573 | C2×C8 | #547 | 1 | 1 | yes | characteristic |
| 574 | C2×C8 | #548 | 1 | 1 | yes | characteristic |
| 575 | C2×C8 | #551 | 1 | 2 | yes | — |
| 576 | C2×C8 | #552 | 1 | 2 | yes | — |
| 577 | C2×C8 | #552 | 1 | 2 | yes | — |
| 578 | C2×C8 | #552 | 1 | 1 | yes | characteristic |
| 579 | C2×C8 | #553 | 1 | 2 | yes | — |
| 580 | C2×C8 | #553 | 1 | 2 | yes | — |
| 581 | C2×C8 | #556 | 1 | 1 | yes | characteristic |
| 582 | C4⋊C4 | — | 4 | 2 | no | — |
| 583 | C4⋊C4 | — | 4 | 2 | no | — |
| 584 | C4⋊C4 | — | 4 | 2 | no | — |
| 585 | C4⋊C4 | — | 4 | 2 | no | — |
| 586 | C22⋊C4 | — | 8 | 8 | no | — |
| 587 | C22⋊C4 | — | 8 | 1 | no | — |
| 588 | C22⋊C4 | — | 8 | 1 | no | — |
| 589 | C22⋊C4 | — | 8 | 1 | no | — |
| 590 | C22⋊C4 | — | 8 | 1 | no | — |
| 591 | C42 | — | 2 | 2 | no | — |
| 592 | C42 | — | 2 | 2 | no | — |
| 593 | C42 | — | 2 | 2 | no | — |
| 594 | C42 | — | 2 | 2 | no | — |
| 595 | C42 | — | 2 | 2 | no | — |
| 596 | C42 | — | 4 | 8 | no | — |
| 597 | C42 | — | 4 | 1 | no | — |
| 598 | C42 | — | 4 | 1 | no | — |
| 599 | C42 | — | 8 | 1 | no | — |
| 600 | C42 | — | 8 | 1 | no | — |
| 601 | C42 | — | 8 | 1 | no | — |
| 602 | C42 | — | 8 | 1 | no | — |
| 603 | C42 | #468 | 1 | 4 | yes | — |
| 604 | C16 | — | 4 | 4 | no | — |
| 605 | C16 | — | 4 | 4 | no | — |
| 606 | C23 | — | 2 | 4 | no | — |
| 607 | C23 | — | 2 | 4 | no | — |
| 608 | C23 | — | 2 | 4 | no | — |
| 609 | C23 | — | 2 | 2 | no | — |
| 610 | C23 | — | 2 | 2 | no | — |
| 611 | C23 | — | 2 | 2 | no | — |
| 612 | C23 | — | 4 | 2 | no | — |
| 613 | C23 | — | 4 | 4 | no | — |
| 614 | C23 | — | 4 | 2 | no | — |
| 615 | C23 | — | 4 | 4 | no | — |
| 616 | C23 | — | 4 | 4 | no | — |
| 617 | C23 | — | 4 | 2 | no | — |
| 618 | C23 | — | 4 | 2 | no | — |
| 619 | C23 | — | 4 | 4 | no | — |
| 620 | C23 | — | 4 | 1 | no | — |
| 621 | C23 | — | 4 | 1 | no | — |
| 622 | C23 | — | 4 | 1 | no | — |
| 623 | C23 | — | 4 | 1 | no | — |
| 624 | C23 | #3056 | 1 | 1 | yes | characteristic |
| 625 | C23 | #3092 | 1 | 1 | yes | characteristic |
| 626 | C23 | #3110 | 1 | 1 | yes | characteristic |
| 627 | C23 | C2×#491 | 1 | 1 | yes | characteristic |
| 628 | C23 | #3181 | 1 | 1 | yes | characteristic |
| 629 | C23 | #3195 | 1 | 1 | yes | characteristic |
| 630 | C23 | #3239 | 1 | 1 | yes | characteristic |
| 631 | C2×C4 | — | 2 | 2 | no | — |
| 632 | C2×C4 | — | 2 | 2 | no | — |
| 633 | C2×C4 | — | 2 | 2 | no | — |
| 634 | C2×C4 | — | 2 | 4 | no | — |
| 635 | C2×C4 | — | 4 | 4 | no | — |
| 636 | C2×C4 | — | 4 | 1 | no | — |
| 637 | C2×C4 | — | 4 | 1 | no | — |
| 638 | C2×C4 | — | 4 | 1 | no | — |
| 639 | C2×C4 | — | 4 | 1 | no | — |
| 640 | C2×C4 | — | 4 | 2 | no | — |
| 641 | C2×C4 | — | 4 | 2 | no | — |
| 642 | C2×C4 | — | 4 | 2 | no | — |
| 643 | C2×C4 | — | 4 | 2 | no | — |
| 644 | C2×C4 | — | 4 | 2 | no | — |
| 645 | C2×C4 | — | 4 | 2 | no | — |
| 646 | C2×C4 | — | 4 | 2 | no | — |
| 647 | C2×C4 | — | 4 | 2 | no | — |
| 648 | C2×C4 | — | 4 | 4 | no | — |
| 649 | C2×C4 | — | 4 | 2 | no | — |
| 650 | C2×C4 | — | 8 | 2 | no | — |
| 651 | C2×C4 | — | 8 | 2 | no | — |
| 652 | C2×C4 | — | 8 | 16 | no | — |
| 653 | C2×C4 | — | 8 | 2 | no | — |
| 654 | C2×C4 | — | 8 | 2 | no | — |
| 655 | C2×C4 | — | 8 | 4 | no | — |
| 656 | C2×C4 | — | 8 | 4 | no | — |
| 657 | C2×C4 | — | 8 | 2 | no | — |
| 658 | C2×C4 | — | 8 | 2 | no | — |
| 659 | C2×C4 | #2395 | 1 | 1 | yes | characteristic |
| 660 | C2×C4 | #2412 | 1 | 1 | yes | characteristic |
| 661 | C2×C4 | #2415 | 1 | 1 | yes | characteristic |
| 662 | C2×C4 | #2503 | 1 | 1 | yes | characteristic |
| 663 | C2×C4 | #2591 | 1 | 1 | yes | characteristic |
| 664 | C2×C4 | #2663 | 1 | 1 | yes | characteristic |
| 665 | C2×C4 | #2850 | 1 | 1 | yes | characteristic |
| 666 | C2×C4 | C2×#468 | 1 | 1 | yes | characteristic |
| 667 | C2×C4 | C2×#469 | 1 | 1 | yes | characteristic |
| 668 | C2×C4 | #3056 | 1 | 1 | yes | characteristic |
| 669 | C2×C4 | #3092 | 1 | 1 | yes | characteristic |
| 670 | C2×C4 | #3094 | 1 | 1 | yes | characteristic |
| 671 | C2×C4 | #3095 | 1 | 1 | yes | characteristic |
| 672 | C2×C4 | #3113 | 1 | 1 | yes | characteristic |
| 673 | C2×C4 | #3115 | 1 | 1 | yes | characteristic |
| 674 | C2×C4 | #3115 | 1 | 1 | yes | characteristic |
| 675 | C2×C4 | #3135 | 1 | 1 | yes | characteristic |
| 676 | C2×C4 | #3138 | 1 | 1 | yes | characteristic |
| 677 | C2×C4 | #3141 | 1 | 1 | yes | characteristic |
| 678 | C2×C4 | #3181 | 1 | 1 | yes | characteristic |
| 679 | C2×C4 | #3182 | 1 | 1 | yes | characteristic |
| 680 | C2×C4 | #3184 | 1 | 1 | yes | characteristic |
| 681 | C2×C4 | #3193 | 1 | 1 | yes | characteristic |
| 682 | C2×C4 | #3194 | 1 | 1 | yes | characteristic |
| 683 | C2×C4 | #3194 | 1 | 1 | yes | characteristic |
| 684 | C2×C4 | #3235 | 1 | 1 | yes | characteristic |
| 685 | C2×C4 | #3237 | 1 | 1 | yes | characteristic |
| 686 | C2×C4 | #3239 | 1 | 1 | yes | characteristic |
| 687 | C8 | — | 2 | 4 | no | — |
| 688 | C8 | — | 4 | 2 | no | — |
| 689 | C8 | — | 4 | 2 | no | — |
| 690 | C8 | — | 16 | 2 | no | — |
| 691 | C8 | — | 16 | 2 | no | — |
| 692 | C8 | — | 16 | 1 | no | — |
| 693 | C8 | — | 16 | 1 | no | — |
| 694 | C8 | #2460 | 1 | 2 | yes | — |
| 695 | C8 | #2468 | 1 | 2 | yes | — |
| 696 | C8 | #2530 | 1 | 2 | yes | — |
| 697 | C8 | #2577 | 1 | 2 | yes | — |
| 698 | C22 | — | 2 | 2 | no | — |
| 699 | C22 | — | 2 | 2 | no | — |
| 700 | C22 | — | 2 | 2 | no | — |
| 701 | C22 | — | 2 | 4 | no | — |
| 702 | C22 | — | 2 | 4 | no | — |
| 703 | C22 | — | 2 | 4 | no | — |
| 704 | C22 | — | 4 | 1 | no | — |
| 705 | C22 | — | 4 | 1 | no | — |
| 706 | C22 | — | 4 | 1 | no | — |
| 707 | C22 | — | 4 | 1 | no | — |
| 708 | C22 | — | 4 | 4 | no | — |
| 709 | C22 | — | 4 | 4 | no | — |
| 710 | C22 | — | 4 | 2 | no | — |
| 711 | C22 | — | 4 | 2 | no | — |
| 712 | C22 | — | 4 | 2 | no | — |
| 713 | C22 | — | 4 | 4 | no | — |
| 714 | C22 | — | 4 | 4 | no | — |
| 715 | C22 | — | 4 | 2 | no | — |
| 716 | C22 | #23761 | 1 | 1 | yes | characteristic |
| 717 | C22 | #24559 | 1 | 1 | yes | characteristic |
| 718 | C22 | #24709 | 1 | 1 | yes | characteristic |
| 719 | C22 | #27965 | 1 | 1 | yes | characteristic |
| 720 | C22 | #29335 | 1 | 1 | yes | characteristic |
| 721 | C22 | #30366 | 1 | 1 | yes | characteristic |
| 722 | C22 | #33053 | 1 | 1 | yes | characteristic |
| 723 | C4 | — | 4 | 4 | no | — |
| 724 | C4 | — | 4 | 2 | no | — |
| 725 | C4 | — | 8 | 2 | no | — |
| 726 | C4 | — | 16 | 2 | no | — |
| 727 | C4 | — | 16 | 2 | no | — |
| 728 | C4 | #14841 | 1 | 1 | yes | characteristic |
| 729 | C4 | #23763 | 1 | 1 | yes | characteristic |
| 730 | C4 | #24558 | 1 | 1 | yes | characteristic |
| 731 | C4 | #24710 | 1 | 1 | yes | characteristic |
| 732 | C4 | #27968 | 1 | 1 | yes | characteristic |
| 733 | C4 | #29337 | 1 | 1 | yes | characteristic |
| 734 | C4 | #30365 | 1 | 1 | yes | characteristic |
| 735 | C4 | #33048 | 1 | 1 | yes | characteristic |
| 736 | C2 | — | 2 | 1 | no | — |
| 737 | C2 | — | 2 | 1 | no | — |
| 738 | C2 | — | 2 | 1 | no | — |
| 739 | C2 | — | 2 | 1 | no | — |
| 740 | C2 | — | 2 | 1 | no | — |
| 741 | C2 | — | 2 | 1 | no | — |
| 742 | C2 | — | 4 | 4 | no | — |
| 743 | C2 | #402406 | 1 | 1 | yes | characteristic |
| 744 | C2 | #499601 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center | C2×C4 | #3184 |
| commutator, Frattini, cosocle | C23×C8 | C24 |
| socle | C22 | #23761 |
| prime radical | C25 | #137 |
| LCS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2×C4 ◁ C23×C4 ◁ C23×#97 ◁ G | |
| LECS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#13540 | C2 | semidirect |
| 5. #149369 | C2 | semidirect |
| 6. #148986 | C2 | semidirect |
| 7. #148723 | C2 | semidirect |
| 10. #147201 | C2 | semidirect |
| 11. #146936 | C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#13540 | 2 |
| C2×#12605 | 2 |
| #392915 | 2 |
| #392462 | 2 |
| #149369 | 2 |
| #148986 | 2 |
| #148723 | 2 |
| #148632 | 2 |
| #148631 | 2 |
| #147201 | 2 |
| #146936 | 2 |