Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
2258 conjugacy classes of subgroups.
The subgroup lattice has 855 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72226927 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72226916 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72226884 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72226883 | — | 2 | 2 | no | — |
| 5 | #72226882 | — | 2 | 2 | no | — |
| 6 | #72226880 | — | 2 | 2 | no | — |
| 7 | #72226871 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #72226867 | — | 2 | 2 | no | — |
| 9 | #72226866 | — | 2 | 2 | no | — |
| 10 | #72226864 | — | 2 | 2 | no | — |
| 11 | #72225607 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #72225599 | C22 | 1 | 2 | yes | complemented |
| 13 | #72225559 | — | 2 | 2 | no | — |
| 14 | #72225557 | — | 2 | 2 | no | — |
| 15 | #72225401 | C22 | 1 | 2 | yes | — |
| 16 | #72225385 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #72225373 | C22 | 1 | 2 | yes | complemented |
| 18 | #72225363 | C22 | 1 | 2 | yes | complemented |
| 19 | #72225353 | C22 | 1 | 2 | yes | — |
| 20 | #72225342 | C22 | 1 | 2 | yes | complemented |
| 21 | #72225341 | C22 | 1 | 2 | yes | — |
| 22 | #72225311 | C22 | 1 | 2 | yes | — |
| 23 | #72225199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | C2×#72214187 | C2 | 1 | 1 | yes | maximal, characteristic |
| 25 | C2×#93866 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#93866 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #72216534 | C22 | 1 | 2 | yes | complemented |
| 28 | C2×#93751 | C22 | 1 | 2 | yes | — |
| 29 | #72216416 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×#492532 | C22 | 1 | 1 | yes | characteristic |
| 31 | #72216374 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 32 | #72216288 | C22 | 1 | 2 | yes | — |
| 33 | #72216288 | C22 | 1 | 2 | yes | complemented |
| 34 | #72216270 | C22 | 1 | 2 | yes | — |
| 35 | C2×#151634 | C22 | 1 | 2 | yes | — |
| 36 | #72216239 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #72216220 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C2×#123403 | C22 | 1 | 1 | yes | characteristic |
| 39 | #72214187 | C4 | 1 | 4 | yes | complemented |
| 40 | #72214187 | C4 | 1 | 4 | yes | complemented |
| 41 | C2×#33858 | — | 2 | 2 | no | — |
| 42 | C2×#13692 | — | 2 | 2 | no | — |
| 43 | #512781 | — | 4 | 2 | no | — |
| 44 | #512751 | — | 2 | 2 | no | — |
| 45 | #512702 | — | 4 | 2 | no | — |
| 46 | #498572 | — | 2 | 2 | no | — |
| 47 | #497894 | — | 2 | 2 | no | — |
| 48 | #497857 | — | 2 | 2 | no | — |
| 49 | #492532 | — | 2 | 4 | no | — |
| 50 | #492532 | — | 4 | 1 | no | — |
| 51 | #492532 | C2×C4 | 1 | 4 | yes | complemented |
| 52 | C2×#12515 | — | 4 | 1 | no | — |
| 53 | C2×#12515 | C23 | 1 | 1 | yes | characteristic |
| 54 | C2×#12515 | C23 | 1 | 1 | yes | characteristic |
| 55 | C2×#12436 | — | 2 | 2 | no | — |
| 56 | C2×#12310 | — | 4 | 1 | no | — |
| 57 | C2×#12046 | C23 | 1 | 2 | yes | — |
| 58 | #152994 | — | 2 | 2 | no | — |
| 59 | #152899 | — | 2 | 2 | no | — |
| 60 | #152899 | — | 2 | 2 | no | — |
| 61 | #152899 | — | 2 | 2 | no | — |
| 62 | #152899 | — | 2 | 2 | no | — |
| 63 | #152874 | — | 2 | 2 | no | — |
| 64 | #152841 | — | 4 | 2 | no | — |
| 65 | #152638 | — | 4 | 2 | no | — |
| 66 | #152541 | — | 4 | 2 | no | — |
| 67 | #152516 | — | 4 | 2 | no | — |
| 68 | #152451 | — | 4 | 2 | no | — |
| 69 | #152283 | — | 2 | 2 | no | — |
| 70 | #152176 | — | 4 | 2 | no | — |
| 71 | #151989 | — | 2 | 2 | no | — |
| 72 | #151968 | D4 | 1 | 2 | yes | — |
| 73 | #151634 | — | 2 | 4 | no | — |
| 74 | #151634 | C2×C4 | 1 | 8 | yes | — |
| 75 | #151073 | — | 2 | 4 | no | — |
| 76 | #151072 | — | 4 | 2 | no | — |
| 77 | C2×#7459 | C23 | 1 | 2 | yes | — |
| 78 | C2×#7459 | C23 | 1 | 2 | yes | — |
| 79 | C2×#7448 | — | 2 | 2 | no | — |
| 80 | C2×#7448 | — | 2 | 2 | no | — |
| 81 | #150069 | D4 | 1 | 2 | yes | — |
| 82 | #150051 | — | 2 | 2 | no | — |
| 83 | C8×M64 | C23 | 1 | 2 | yes | — |
| 84 | #141263 | — | 2 | 2 | no | — |
| 85 | #140438 | — | 2 | 2 | no | — |
| 86 | #137551 | — | 4 | 1 | no | — |
| 87 | #136326 | — | 4 | 2 | no | — |
| 88 | #135796 | — | 4 | 1 | no | — |
| 89 | #135781 | C23 | 1 | 2 | yes | — |
| 90 | #134971 | — | 2 | 2 | no | — |
| 91 | #129142 | C23 | 1 | 2 | yes | — |
| 92 | #123403 | — | 4 | 1 | no | — |
| 93 | #123403 | C2×C4 | 1 | 2 | yes | — |
| 94 | #123403 | C2×C4 | 1 | 2 | yes | — |
| 95 | C2×C162 | C23 | 1 | 1 | yes | characteristic |
| 96 | #94366 | — | 2 | 2 | no | — |
| 97 | #94365 | — | 2 | 2 | no | — |
| 98 | #94054 | D4 | 1 | 2 | yes | — |
| 99 | #94041 | — | 2 | 2 | no | — |
| 100 | #94029 | D4 | 1 | 2 | yes | — |
| 101 | #93866 | — | 4 | 1 | no | — |
| 102 | #93866 | C2×C4 | 1 | 4 | yes | complemented |
| 103 | #93751 | C2×C4 | 1 | 4 | yes | complemented |
| 104 | #93751 | C2×C4 | 1 | 4 | yes | complemented |
| 105 | #93665 | — | 4 | 1 | no | — |
| 106 | C2×#3415 | — | 4 | 2 | no | — |
| 107 | C2×#3292 | — | 4 | 1 | no | — |
| 108 | C2×#2263 | — | 4 | 2 | no | — |
| 109 | #33974 | — | 4 | 2 | no | — |
| 110 | #33858 | — | 2 | 8 | no | — |
| 111 | #33858 | — | 4 | 4 | no | — |
| 112 | #33858 | — | 4 | 4 | no | — |
| 113 | #33858 | — | 8 | 2 | no | — |
| 114 | C2×#2246 | — | 2 | 2 | no | — |
| 115 | C2×#2246 | — | 2 | 2 | no | — |
| 116 | C2×#2246 | — | 8 | 2 | no | — |
| 117 | C2×#2221 | — | 4 | 2 | no | — |
| 118 | C2×#2213 | — | 4 | 2 | no | — |
| 119 | C2×#2192 | — | 8 | 2 | no | — |
| 120 | #33465 | — | 4 | 2 | no | — |
| 121 | C2×#2178 | C2×D4 | 1 | 2 | yes | — |
| 122 | #33456 | — | 4 | 2 | no | — |
| 123 | C2×#2170 | — | 2 | 2 | no | — |
| 124 | #33414 | — | 4 | 2 | no | — |
| 125 | #23201 | — | 4 | 1 | no | — |
| 126 | #22694 | — | 4 | 2 | no | — |
| 127 | C2×#1712 | — | 2 | 1 | no | — |
| 128 | C2×#1712 | — | 2 | 1 | no | — |
| 129 | #13692 | — | 2 | 8 | no | — |
| 130 | #13692 | — | 4 | 4 | no | — |
| 131 | #13658 | — | 8 | 8 | no | — |
| 132 | #13648 | — | 8 | 2 | no | — |
| 133 | #13647 | — | 4 | 4 | no | — |
| 134 | #13638 | — | 4 | 2 | no | — |
| 135 | C2×#1422 | — | 2 | 2 | no | — |
| 136 | C2×#1422 | — | 2 | 2 | no | — |
| 137 | #13625 | — | 4 | 2 | no | — |
| 138 | #13625 | — | 8 | 4 | no | — |
| 139 | #13625 | D8 | 1 | 2 | yes | — |
| 140 | C2×#1419 | — | 4 | 2 | no | — |
| 141 | C2×#1419 | — | 4 | 2 | no | — |
| 142 | C2×#1419 | — | 4 | 2 | no | — |
| 143 | C2×#1419 | — | 4 | 2 | no | — |
| 144 | C2×#1419 | — | 4 | 2 | no | — |
| 145 | C2×#1419 | — | 4 | 2 | no | — |
| 146 | C2×#1419 | — | 8 | 2 | no | — |
| 147 | C2×#1419 | — | 8 | 2 | no | — |
| 148 | C2×#1419 | — | 8 | 4 | no | — |
| 149 | #13622 | D8 | 1 | 2 | yes | — |
| 150 | #13617 | — | 4 | 2 | no | — |
| 151 | #13558 | — | 4 | 2 | no | — |
| 152 | #13551 | — | 4 | 2 | no | — |
| 153 | C4×M64 | C2×D4 | 1 | 2 | yes | — |
| 154 | C4×M64 | C2×D4 | 1 | 2 | yes | — |
| 155 | #13261 | — | 4 | 2 | no | — |
| 156 | #13245 | — | 4 | 2 | no | — |
| 157 | #13182 | — | 4 | 2 | no | — |
| 158 | #13173 | — | 4 | 2 | no | — |
| 159 | #13017 | — | 8 | 2 | no | — |
| 160 | #12947 | — | 8 | 2 | no | — |
| 161 | #12927 | — | 8 | 2 | no | — |
| 162 | #12909 | — | 2 | 2 | no | — |
| 163 | #12909 | — | 2 | 2 | no | — |
| 164 | #12841 | — | 4 | 2 | no | — |
| 165 | #12822 | — | 4 | 2 | no | — |
| 166 | #12670 | C2×D4 | 1 | 2 | yes | — |
| 167 | #12664 | — | 2 | 2 | no | — |
| 168 | #12515 | — | 2 | 2 | no | — |
| 169 | #12515 | — | 2 | 2 | no | — |
| 170 | #12515 | — | 2 | 1 | no | — |
| 171 | #12515 | — | 2 | 1 | no | — |
| 172 | #12515 | — | 4 | 2 | no | — |
| 173 | #12515 | — | 4 | 2 | no | — |
| 174 | #12515 | — | 8 | 2 | no | — |
| 175 | #12515 | C22×C4 | 1 | 2 | yes | — |
| 176 | #12515 | C22×C4 | 1 | 2 | yes | — |
| 177 | #12436 | — | 2 | 8 | no | — |
| 178 | #12436 | — | 4 | 4 | no | — |
| 179 | #12310 | — | 4 | 4 | no | — |
| 180 | #12310 | — | 4 | 4 | no | — |
| 181 | #12046 | — | 2 | 2 | no | — |
| 182 | #12046 | — | 2 | 2 | no | — |
| 183 | #12046 | C22×C4 | 1 | 4 | yes | — |
| 184 | #12046 | #41 | 1 | 4 | yes | — |
| 185 | #12023 | — | 8 | 2 | no | — |
| 186 | C2×#1373 | C2×D4 | 1 | 2 | yes | — |
| 187 | C2×#1373 | C2×D4 | 1 | 2 | yes | — |
| 188 | C2×#1357 | — | 4 | 1 | no | — |
| 189 | C2×#1357 | — | 4 | 1 | no | — |
| 190 | C2×#1335 | — | 2 | 2 | no | — |
| 191 | C2×C8×C16 | — | 2 | 1 | no | — |
| 192 | C2×C8×C16 | C24 | 1 | 1 | yes | characteristic |
| 193 | #8823 | — | 2 | 2 | no | — |
| 194 | #7480 | D8 | 1 | 2 | yes | — |
| 195 | #7479 | — | 4 | 2 | no | — |
| 196 | #7479 | D8 | 1 | 2 | yes | — |
| 197 | #7476 | — | 4 | 2 | no | — |
| 198 | #7469 | — | 4 | 2 | no | — |
| 199 | #7459 | — | 2 | 2 | no | — |
| 200 | #7459 | — | 2 | 2 | no | — |
| 201 | #7459 | — | 2 | 2 | no | — |
| 202 | #7459 | C22×C4 | 1 | 4 | yes | — |
| 203 | #7448 | — | 2 | 8 | no | — |
| 204 | #7448 | — | 8 | 2 | no | — |
| 205 | #7388 | — | 2 | 4 | no | — |
| 206 | #7381 | — | 4 | 4 | no | — |
| 207 | #7329 | — | 2 | 2 | no | — |
| 208 | C8×C32 | — | 2 | 2 | no | — |
| 209 | #7270 | — | 4 | 2 | no | — |
| 210 | #7179 | — | 2 | 2 | no | — |
| 211 | C162 | — | 2 | 1 | no | — |
| 212 | C162 | C22×C4 | 1 | 1 | yes | characteristic |
| 213 | C162 | C22×C4 | 1 | 1 | yes | characteristic |
| 214 | C2×#576 | — | 8 | 2 | no | — |
| 215 | #3415 | — | 4 | 8 | no | — |
| 216 | #3415 | — | 8 | 4 | no | — |
| 217 | #3415 | — | 8 | 4 | no | — |
| 218 | #3415 | — | 16 | 2 | no | — |
| 219 | C2×#509 | — | 8 | 2 | no | — |
| 220 | C2×#509 | — | 16 | 2 | no | — |
| 221 | C2×#508 | — | 8 | 2 | no | — |
| 222 | C2×#508 | C2×D8 | 1 | 2 | yes | — |
| 223 | C22×D16 | — | 4 | 2 | no | — |
| 224 | C22×D16 | — | 4 | 2 | no | — |
| 225 | C22×D16 | — | 4 | 2 | no | — |
| 226 | C22×D16 | — | 4 | 2 | no | — |
| 227 | C22×D16 | — | 8 | 2 | no | — |
| 228 | C22×D16 | — | 16 | 4 | no | — |
| 229 | C2×#504 | — | 4 | 2 | no | — |
| 230 | #3292 | — | 4 | 4 | no | — |
| 231 | #3292 | — | 8 | 4 | no | — |
| 232 | #3292 | — | 16 | 1 | no | — |
| 233 | C2×#493 | — | 4 | 1 | no | — |
| 234 | C2×#493 | — | 4 | 1 | no | — |
| 235 | C2×#493 | — | 8 | 1 | no | — |
| 236 | C2×#493 | — | 8 | 1 | no | — |
| 237 | C2×#472 | — | 8 | 2 | no | — |
| 238 | C2×#453 | — | 16 | 1 | no | — |
| 239 | #2957 | — | 8 | 2 | no | — |
| 240 | C2×#443 | — | 2 | 2 | no | — |
| 241 | #2948 | — | 8 | 2 | no | — |
| 242 | #2916 | — | 8 | 2 | no | — |
| 243 | #2263 | — | 4 | 8 | no | — |
| 244 | #2263 | — | 8 | 4 | no | — |
| 245 | C2×SD64 | — | 8 | 2 | no | — |
| 246 | C2×D32 | — | 8 | 2 | no | — |
| 247 | #2258 | — | 8 | 4 | no | — |
| 248 | #2258 | — | 16 | 2 | no | — |
| 249 | C2×M64 | — | 2 | 2 | no | — |
| 250 | C2×M64 | — | 4 | 2 | no | — |
| 251 | C2×M64 | — | 4 | 2 | no | — |
| 252 | C2×M64 | — | 8 | 4 | no | — |
| 253 | C2×M64 | C2×D8 | 1 | 2 | yes | — |
| 254 | C2×M64 | C2×D8 | 1 | 2 | yes | — |
| 255 | #2246 | — | 2 | 4 | no | — |
| 256 | #2246 | — | 2 | 4 | no | — |
| 257 | #2246 | — | 4 | 2 | no | — |
| 258 | #2246 | — | 4 | 2 | no | — |
| 259 | #2246 | — | 4 | 2 | no | — |
| 260 | #2246 | — | 4 | 2 | no | — |
| 261 | #2246 | — | 4 | 2 | no | — |
| 262 | #2246 | — | 4 | 2 | no | — |
| 263 | #2246 | — | 8 | 4 | no | — |
| 264 | #2246 | — | 8 | 4 | no | — |
| 265 | #2246 | — | 16 | 4 | no | — |
| 266 | #2221 | — | 4 | 8 | no | — |
| 267 | #2221 | — | 8 | 4 | no | — |
| 268 | #2213 | — | 4 | 8 | no | — |
| 269 | #2213 | — | 8 | 4 | no | — |
| 270 | #2192 | — | 8 | 8 | no | — |
| 271 | #2192 | — | 8 | 8 | no | — |
| 272 | #2179 | — | 8 | 4 | no | — |
| 273 | #2178 | — | 2 | 2 | no | — |
| 274 | #2178 | — | 2 | 2 | no | — |
| 275 | #2178 | — | 16 | 2 | no | — |
| 276 | #2178 | C4×D4 | 1 | 4 | yes | — |
| 277 | #2178 | #135 | 1 | 4 | yes | — |
| 278 | #2177 | — | 8 | 4 | no | — |
| 279 | C4×D16 | — | 16 | 2 | no | — |
| 280 | #2170 | — | 2 | 4 | no | — |
| 281 | #2170 | — | 2 | 4 | no | — |
| 282 | #2170 | — | 4 | 2 | no | — |
| 283 | #2170 | — | 4 | 2 | no | — |
| 284 | #2161 | — | 8 | 2 | no | — |
| 285 | #2161 | — | 16 | 2 | no | — |
| 286 | C2×#368 | — | 4 | 2 | no | — |
| 287 | C2×#368 | — | 4 | 2 | no | — |
| 288 | C2×#368 | — | 4 | 2 | no | — |
| 289 | C2×#368 | — | 4 | 2 | no | — |
| 290 | C2×#368 | — | 8 | 4 | no | — |
| 291 | C2×#368 | C2×D8 | 1 | 2 | yes | — |
| 292 | C2×#368 | C2×D8 | 1 | 2 | yes | — |
| 293 | #2158 | C2×D8 | 1 | 2 | yes | — |
| 294 | C2×#364 | — | 2 | 2 | no | — |
| 295 | C2×#364 | — | 2 | 2 | no | — |
| 296 | C2×#361 | — | 8 | 2 | no | — |
| 297 | C2×#361 | — | 8 | 2 | no | — |
| 298 | #2143 | — | 8 | 2 | no | — |
| 299 | C2×#359 | — | 2 | 2 | no | — |
| 300 | #2140 | — | 8 | 2 | no | — |
| 301 | C2×#350 | — | 4 | 2 | no | — |
| 302 | #2108 | — | 4 | 2 | no | — |
| 303 | C2×C4×C16 | — | 2 | 2 | no | — |
| 304 | C2×C4×C16 | C22×D4 | 1 | 2 | yes | — |
| 305 | #1978 | — | 8 | 2 | no | — |
| 306 | #1953 | — | 8 | 2 | no | — |
| 307 | #1887 | — | 16 | 1 | no | — |
| 308 | #1861 | — | 16 | 2 | no | — |
| 309 | #1848 | — | 4 | 2 | no | — |
| 310 | #1814 | — | 8 | 2 | no | — |
| 311 | #1772 | — | 2 | 2 | no | — |
| 312 | #1712 | — | 2 | 2 | no | — |
| 313 | #1712 | — | 2 | 2 | no | — |
| 314 | #1712 | — | 4 | 1 | no | — |
| 315 | #1712 | — | 4 | 1 | no | — |
| 316 | #1712 | — | 8 | 1 | no | — |
| 317 | #1712 | — | 8 | 1 | no | — |
| 318 | #1567 | — | 8 | 2 | no | — |
| 319 | C2×C82 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 320 | #1426 | — | 8 | 4 | no | — |
| 321 | #1422 | — | 2 | 4 | no | — |
| 322 | #1422 | — | 4 | 2 | no | — |
| 323 | #1422 | — | 4 | 2 | no | — |
| 324 | #1422 | — | 4 | 2 | no | — |
| 325 | #1420 | — | 2 | 2 | no | — |
| 326 | #1420 | — | 8 | 2 | no | — |
| 327 | #1419 | — | 2 | 2 | no | — |
| 328 | #1419 | — | 4 | 8 | no | — |
| 329 | #1419 | — | 8 | 4 | no | — |
| 330 | #1419 | — | 8 | 4 | no | — |
| 331 | #1419 | — | 8 | 4 | no | — |
| 332 | #1419 | — | 8 | 2 | no | — |
| 333 | #1419 | — | 16 | 2 | no | — |
| 334 | #1419 | — | 16 | 2 | no | — |
| 335 | #1419 | — | 16 | 4 | no | — |
| 336 | #1419 | — | 16 | 4 | no | — |
| 337 | #1418 | — | 2 | 4 | no | — |
| 338 | #1415 | — | 16 | 2 | no | — |
| 339 | #1401 | — | 8 | 4 | no | — |
| 340 | #1398 | — | 8 | 4 | no | — |
| 341 | #1397 | — | 2 | 2 | no | — |
| 342 | #1397 | — | 2 | 2 | no | — |
| 343 | C4×C32 | — | 2 | 2 | no | — |
| 344 | C4×C32 | — | 2 | 2 | no | — |
| 345 | #1389 | — | 8 | 2 | no | — |
| 346 | #1388 | — | 8 | 2 | no | — |
| 347 | #1382 | — | 2 | 2 | no | — |
| 348 | #1379 | — | 4 | 2 | no | — |
| 349 | #1373 | — | 2 | 2 | no | — |
| 350 | #1373 | — | 2 | 2 | no | — |
| 351 | #1373 | — | 2 | 2 | no | — |
| 352 | #1373 | C4×D4 | 1 | 4 | yes | — |
| 353 | #1372 | — | 16 | 4 | no | — |
| 354 | #1357 | — | 4 | 4 | no | — |
| 355 | #1357 | — | 16 | 1 | no | — |
| 356 | #1335 | — | 2 | 4 | no | — |
| 357 | #1335 | — | 2 | 4 | no | — |
| 358 | C8×C16 | — | 2 | 2 | no | — |
| 359 | C8×C16 | — | 2 | 1 | no | — |
| 360 | C8×C16 | — | 2 | 1 | no | — |
| 361 | C8×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 362 | C8×C16 | C2×#41 | 1 | 2 | yes | — |
| 363 | C8×C16 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 364 | C2×H(5,𝔽2) | — | 16 | 1 | no | — |
| 365 | #576 | — | 8 | 8 | no | — |
| 366 | #576 | — | 16 | 4 | no | — |
| 367 | #576 | — | 16 | 4 | no | — |
| 368 | #576 | — | 32 | 2 | no | — |
| 369 | C2×AGL(1,ℤ/8) | — | 16 | 2 | no | — |
| 370 | C2×AGL(1,ℤ/8) | — | 32 | 2 | no | — |
| 371 | C2×#135 | — | 2 | 2 | no | — |
| 372 | C2×#135 | — | 16 | 2 | no | — |
| 373 | C22×D8 | — | 8 | 2 | no | — |
| 374 | C22×D8 | — | 8 | 2 | no | — |
| 375 | C22×D8 | — | 16 | 2 | no | — |
| 376 | C22×D8 | — | 16 | 2 | no | — |
| 377 | C22×D8 | — | 16 | 2 | no | — |
| 378 | #568 | — | 16 | 2 | no | — |
| 379 | C2×#131 | — | 4 | 2 | no | — |
| 380 | C2×#127 | — | 8 | 1 | no | — |
| 381 | C2×#127 | — | 8 | 1 | no | — |
| 382 | #518 | — | 16 | 1 | no | — |
| 383 | #509 | — | 8 | 8 | no | — |
| 384 | #509 | — | 16 | 8 | no | — |
| 385 | #509 | — | 16 | 8 | no | — |
| 386 | #509 | — | 16 | 4 | no | — |
| 387 | #508 | — | 2 | 2 | no | — |
| 388 | #508 | — | 2 | 2 | no | — |
| 389 | #508 | — | 8 | 8 | no | — |
| 390 | #508 | — | 16 | 4 | no | — |
| 391 | #508 | C4×D8 | 1 | 4 | yes | — |
| 392 | #508 | #509 | 1 | 4 | yes | — |
| 393 | C2×Q32 | #509 | 1 | 2 | yes | — |
| 394 | C2×SD32 | — | 2 | 2 | no | — |
| 395 | C2×SD32 | — | 16 | 2 | no | — |
| 396 | C2×D16 | — | 4 | 4 | no | — |
| 397 | C2×D16 | — | 4 | 4 | no | — |
| 398 | C2×D16 | — | 4 | 4 | no | — |
| 399 | C2×D16 | — | 4 | 4 | no | — |
| 400 | C2×D16 | — | 8 | 8 | no | — |
| 401 | C2×D16 | — | 8 | 2 | no | — |
| 402 | C2×D16 | — | 8 | 2 | no | — |
| 403 | C2×D16 | — | 8 | 2 | no | — |
| 404 | C2×D16 | — | 8 | 2 | no | — |
| 405 | C2×D16 | — | 8 | 2 | no | — |
| 406 | C2×D16 | — | 8 | 2 | no | — |
| 407 | C2×D16 | — | 8 | 2 | no | — |
| 408 | C2×D16 | — | 8 | 2 | no | — |
| 409 | C2×D16 | — | 8 | 2 | no | — |
| 410 | C2×D16 | — | 8 | 2 | no | — |
| 411 | C2×D16 | — | 8 | 2 | no | — |
| 412 | C2×D16 | — | 8 | 2 | no | — |
| 413 | C2×D16 | — | 16 | 2 | no | — |
| 414 | C2×D16 | — | 16 | 2 | no | — |
| 415 | C2×D16 | — | 16 | 2 | no | — |
| 416 | C2×D16 | — | 16 | 2 | no | — |
| 417 | C2×D16 | — | 16 | 8 | no | — |
| 418 | C2×D16 | — | 16 | 8 | no | — |
| 419 | C2×D16 | — | 16 | 4 | no | — |
| 420 | C2×D16 | — | 16 | 2 | no | — |
| 421 | C2×D16 | — | 32 | 16 | no | — |
| 422 | C2×D16 | #509 | 1 | 2 | yes | — |
| 423 | #504 | — | 4 | 4 | no | — |
| 424 | #504 | — | 4 | 4 | no | — |
| 425 | #504 | — | 8 | 2 | no | — |
| 426 | #504 | — | 8 | 2 | no | — |
| 427 | C2×M32 | — | 4 | 2 | no | — |
| 428 | C2×M32 | — | 4 | 2 | no | — |
| 429 | C2×M32 | — | 8 | 2 | no | — |
| 430 | C22×C16 | — | 2 | 4 | no | — |
| 431 | C22×C16 | — | 8 | 2 | no | — |
| 432 | C22×C16 | C22×D8 | 1 | 2 | yes | — |
| 433 | C22×C16 | #576 | 1 | 2 | yes | — |
| 434 | #493 | — | 4 | 2 | no | — |
| 435 | #493 | — | 4 | 2 | no | — |
| 436 | #493 | — | 8 | 2 | no | — |
| 437 | #493 | — | 8 | 2 | no | — |
| 438 | #493 | — | 8 | 2 | no | — |
| 439 | #493 | — | 8 | 2 | no | — |
| 440 | #493 | — | 8 | 1 | no | — |
| 441 | #493 | — | 8 | 1 | no | — |
| 442 | #493 | — | 16 | 1 | no | — |
| 443 | #493 | — | 16 | 1 | no | — |
| 444 | #493 | — | 16 | 2 | no | — |
| 445 | #493 | — | 16 | 2 | no | — |
| 446 | #472 | — | 8 | 8 | no | — |
| 447 | #472 | — | 16 | 4 | no | — |
| 448 | #453 | — | 16 | 4 | no | — |
| 449 | #453 | — | 16 | 4 | no | — |
| 450 | #444 | — | 32 | 2 | no | — |
| 451 | #443 | — | 2 | 4 | no | — |
| 452 | #443 | — | 2 | 4 | no | — |
| 453 | #443 | — | 4 | 2 | no | — |
| 454 | #443 | — | 4 | 2 | no | — |
| 455 | #443 | — | 16 | 4 | no | — |
| 456 | #442 | — | 32 | 2 | no | — |
| 457 | C4×D8 | — | 16 | 4 | no | — |
| 458 | #430 | — | 16 | 2 | no | — |
| 459 | #430 | — | 32 | 2 | no | — |
| 460 | C2×#108 | — | 2 | 2 | no | — |
| 461 | C2×#108 | — | 2 | 2 | no | — |
| 462 | C2×#108 | — | 8 | 2 | no | — |
| 463 | C2×#108 | — | 8 | 2 | no | — |
| 464 | C2×#108 | — | 16 | 4 | no | — |
| 465 | #427 | — | 2 | 2 | no | — |
| 466 | #423 | — | 8 | 2 | no | — |
| 467 | #421 | — | 16 | 2 | no | — |
| 468 | C2×#104 | — | 4 | 2 | no | — |
| 469 | #418 | — | 16 | 2 | no | — |
| 470 | C2×#100 | — | 16 | 1 | no | — |
| 471 | C2×#100 | — | 16 | 1 | no | — |
| 472 | #405 | — | 4 | 2 | no | — |
| 473 | C2×C4×C8 | — | 2 | 1 | no | — |
| 474 | C2×C4×C8 | D42 | 1 | 1 | yes | characteristic |
| 475 | SD64 | — | 8 | 8 | no | — |
| 476 | D32 | — | 8 | 8 | no | — |
| 477 | M64 | — | 2 | 2 | no | — |
| 478 | M64 | — | 2 | 2 | no | — |
| 479 | M64 | — | 2 | 2 | no | — |
| 480 | M64 | — | 2 | 2 | no | — |
| 481 | M64 | — | 4 | 2 | no | — |
| 482 | M64 | — | 4 | 2 | no | — |
| 483 | M64 | — | 4 | 4 | no | — |
| 484 | M64 | — | 8 | 2 | no | — |
| 485 | M64 | — | 8 | 2 | no | — |
| 486 | M64 | — | 8 | 2 | no | — |
| 487 | M64 | — | 16 | 4 | no | — |
| 488 | C2×C32 | — | 2 | 2 | no | — |
| 489 | C2×C32 | — | 2 | 2 | no | — |
| 490 | C2×C32 | — | 4 | 2 | no | — |
| 491 | C2×C32 | — | 8 | 2 | no | — |
| 492 | C2×C32 | — | 8 | 2 | no | — |
| 493 | C2×C32 | — | 16 | 4 | no | — |
| 494 | #368 | — | 2 | 2 | no | — |
| 495 | #368 | — | 2 | 2 | no | — |
| 496 | #368 | — | 2 | 2 | no | — |
| 497 | #368 | — | 8 | 2 | no | — |
| 498 | #368 | — | 8 | 2 | no | — |
| 499 | #368 | — | 8 | 2 | no | — |
| 500 | #368 | — | 8 | 2 | no | — |
| 501 | #368 | — | 16 | 4 | no | — |
| 502 | #368 | — | 16 | 2 | no | — |
| 503 | #368 | — | 16 | 2 | no | — |
| 504 | #368 | C4×D8 | 1 | 4 | yes | — |
| 505 | #367 | — | 2 | 2 | no | — |
| 506 | #366 | — | 2 | 2 | no | — |
| 507 | #364 | — | 2 | 4 | no | — |
| 508 | #364 | — | 4 | 2 | no | — |
| 509 | #364 | — | 4 | 2 | no | — |
| 510 | #364 | — | 4 | 2 | no | — |
| 511 | #361 | — | 8 | 8 | no | — |
| 512 | #361 | — | 32 | 2 | no | — |
| 513 | #359 | — | 2 | 4 | no | — |
| 514 | #359 | — | 2 | 4 | no | — |
| 515 | #359 | — | 16 | 4 | no | — |
| 516 | #357 | — | 16 | 4 | no | — |
| 517 | #350 | — | 4 | 4 | no | — |
| 518 | #350 | — | 4 | 4 | no | — |
| 519 | #346 | — | 8 | 2 | no | — |
| 520 | C4×C16 | — | 2 | 2 | no | — |
| 521 | C4×C16 | — | 2 | 2 | no | — |
| 522 | C4×C16 | — | 2 | 4 | no | — |
| 523 | C4×C16 | — | 8 | 2 | no | — |
| 524 | C4×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 525 | C4×C16 | #546 | 1 | 2 | yes | — |
| 526 | C4×C16 | C2×#135 | 1 | 2 | yes | — |
| 527 | C4×C16 | #577 | 1 | 2 | yes | — |
| 528 | #344 | — | 16 | 2 | no | — |
| 529 | #339 | — | 4 | 2 | no | — |
| 530 | #335 | — | 16 | 4 | no | — |
| 531 | C82 | — | 2 | 1 | no | — |
| 532 | C82 | #518 | 1 | 1 | yes | characteristic |
| 533 | C82 | #551 | 1 | 1 | yes | characteristic |
| 534 | H(5,𝔽2) | — | 16 | 4 | no | — |
| 535 | H(5,𝔽2) | — | 32 | 4 | no | — |
| 536 | H(5,𝔽2) | — | 64 | 1 | no | — |
| 537 | C2×#41 | — | 4 | 2 | no | — |
| 538 | C2×#41 | — | 32 | 2 | no | — |
| 539 | C22×D4 | — | 16 | 1 | no | — |
| 540 | C22×D4 | — | 16 | 1 | no | — |
| 541 | C22×D4 | — | 32 | 1 | no | — |
| 542 | C22×D4 | — | 32 | 1 | no | — |
| 543 | C22×D4 | — | 32 | 2 | no | — |
| 544 | C22×D4 | — | 64 | 1 | no | — |
| 545 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 546 | AGL(1,ℤ/8) | — | 32 | 8 | no | — |
| 547 | AGL(1,ℤ/8) | — | 32 | 8 | no | — |
| 548 | AGL(1,ℤ/8) | — | 32 | 4 | no | — |
| 549 | #135 | — | 2 | 4 | no | — |
| 550 | #135 | — | 2 | 4 | no | — |
| 551 | #135 | — | 4 | 2 | no | — |
| 552 | #135 | — | 4 | 2 | no | — |
| 553 | #135 | — | 16 | 8 | no | — |
| 554 | #135 | — | 32 | 4 | no | — |
| 555 | C2×Q16 | — | 2 | 2 | no | — |
| 556 | C2×SD16 | — | 4 | 2 | no | — |
| 557 | C2×SD16 | — | 32 | 2 | no | — |
| 558 | C2×D8 | — | 2 | 2 | no | — |
| 559 | C2×D8 | — | 8 | 4 | no | — |
| 560 | C2×D8 | — | 8 | 4 | no | — |
| 561 | C2×D8 | — | 16 | 4 | no | — |
| 562 | C2×D8 | — | 16 | 4 | no | — |
| 563 | C2×D8 | — | 16 | 8 | no | — |
| 564 | C2×D8 | — | 16 | 2 | no | — |
| 565 | C2×D8 | — | 16 | 2 | no | — |
| 566 | C2×D8 | — | 16 | 2 | no | — |
| 567 | C2×D8 | — | 16 | 2 | no | — |
| 568 | C2×D8 | — | 16 | 2 | no | — |
| 569 | C2×D8 | — | 16 | 2 | no | — |
| 570 | C2×D8 | — | 16 | 2 | no | — |
| 571 | C2×D8 | — | 16 | 2 | no | — |
| 572 | C2×D8 | — | 16 | 2 | no | — |
| 573 | C2×D8 | — | 16 | 2 | no | — |
| 574 | C2×D8 | — | 32 | 2 | no | — |
| 575 | C2×D8 | — | 32 | 2 | no | — |
| 576 | C2×D8 | — | 32 | 8 | no | — |
| 577 | C2×D8 | — | 32 | 8 | no | — |
| 578 | C2×D8 | — | 32 | 4 | no | — |
| 579 | C2×D8 | — | 32 | 2 | no | — |
| 580 | #131 | — | 4 | 4 | no | — |
| 581 | #131 | — | 4 | 4 | no | — |
| 582 | #131 | — | 8 | 2 | no | — |
| 583 | #131 | — | 8 | 2 | no | — |
| 584 | #131 | — | 32 | 4 | no | — |
| 585 | #131 | — | 64 | 2 | no | — |
| 586 | C2×M16 | — | 4 | 2 | no | — |
| 587 | C2×M16 | — | 4 | 2 | no | — |
| 588 | C2×M16 | — | 8 | 2 | no | — |
| 589 | C2×M16 | — | 16 | 2 | no | — |
| 590 | C2×M16 | — | 32 | 4 | no | — |
| 591 | C22×C8 | — | 2 | 2 | no | — |
| 592 | C22×C8 | — | 8 | 2 | no | — |
| 593 | C22×C8 | D4×D8 | 1 | 2 | yes | — |
| 594 | #127 | — | 8 | 2 | no | — |
| 595 | #127 | — | 8 | 2 | no | — |
| 596 | #127 | — | 16 | 1 | no | — |
| 597 | #127 | — | 16 | 1 | no | — |
| 598 | #127 | — | 32 | 1 | no | — |
| 599 | #127 | — | 32 | 1 | no | — |
| 600 | C4×D4 | — | 32 | 4 | no | — |
| 601 | #117 | — | 4 | 2 | no | — |
| 602 | C2×C22⋊C4 | — | 64 | 1 | no | — |
| 603 | C2×C42 | #3292 | 1 | 1 | yes | characteristic |
| 604 | Q32 | — | 2 | 2 | no | — |
| 605 | Q32 | #2177 | 1 | 4 | yes | — |
| 606 | SD32 | — | 2 | 4 | no | — |
| 607 | SD32 | — | 2 | 4 | no | — |
| 608 | SD32 | — | 16 | 8 | no | — |
| 609 | D16 | — | 2 | 2 | no | — |
| 610 | D16 | — | 8 | 4 | no | — |
| 611 | D16 | — | 8 | 4 | no | — |
| 612 | D16 | — | 8 | 4 | no | — |
| 613 | D16 | — | 8 | 4 | no | — |
| 614 | D16 | — | 16 | 4 | no | — |
| 615 | D16 | — | 16 | 4 | no | — |
| 616 | D16 | — | 16 | 8 | no | — |
| 617 | D16 | — | 16 | 2 | no | — |
| 618 | D16 | — | 16 | 2 | no | — |
| 619 | D16 | — | 16 | 2 | no | — |
| 620 | D16 | — | 16 | 2 | no | — |
| 621 | D16 | — | 32 | 2 | no | — |
| 622 | D16 | — | 32 | 2 | no | — |
| 623 | D16 | — | 32 | 16 | no | — |
| 624 | D16 | — | 32 | 16 | no | — |
| 625 | D16 | #2177 | 1 | 4 | yes | — |
| 626 | M32 | — | 4 | 4 | no | — |
| 627 | M32 | — | 8 | 2 | no | — |
| 628 | M32 | — | 8 | 4 | no | — |
| 629 | M32 | — | 8 | 4 | no | — |
| 630 | M32 | — | 8 | 2 | no | — |
| 631 | M32 | — | 8 | 2 | no | — |
| 632 | C2×C16 | — | 2 | 4 | no | — |
| 633 | C2×C16 | — | 2 | 2 | no | — |
| 634 | C2×C16 | — | 2 | 2 | no | — |
| 635 | C2×C16 | — | 2 | 4 | no | — |
| 636 | C2×C16 | — | 4 | 8 | no | — |
| 637 | C2×C16 | — | 8 | 2 | no | — |
| 638 | C2×C16 | — | 8 | 4 | no | — |
| 639 | C2×C16 | — | 8 | 4 | no | — |
| 640 | C2×C16 | — | 8 | 2 | no | — |
| 641 | C2×C16 | C2×C4×D8 | 1 | 2 | yes | — |
| 642 | C2×C16 | #2946 | 1 | 2 | yes | — |
| 643 | C2×C16 | #3294 | 1 | 2 | yes | — |
| 644 | C2×C16 | #3297 | 1 | 2 | yes | — |
| 645 | C2×C16 | C2×#509 | 1 | 2 | yes | — |
| 646 | C2×C16 | C2×#509 | 1 | 2 | yes | — |
| 647 | C2×C16 | #3415 | 1 | 2 | yes | — |
| 648 | C2×C16 | #3416 | 1 | 2 | yes | — |
| 649 | #108 | — | 2 | 4 | no | — |
| 650 | #108 | — | 4 | 2 | no | — |
| 651 | #108 | — | 4 | 2 | no | — |
| 652 | #108 | — | 4 | 2 | no | — |
| 653 | #108 | — | 16 | 2 | no | — |
| 654 | #108 | — | 16 | 2 | no | — |
| 655 | #108 | — | 16 | 2 | no | — |
| 656 | #108 | — | 16 | 2 | no | — |
| 657 | #108 | — | 32 | 4 | no | — |
| 658 | #107 | — | 4 | 2 | no | — |
| 659 | #106 | — | 4 | 2 | no | — |
| 660 | C4⋊C8 | — | 32 | 2 | no | — |
| 661 | #104 | — | 4 | 4 | no | — |
| 662 | #104 | — | 4 | 4 | no | — |
| 663 | #104 | — | 32 | 4 | no | — |
| 664 | #102 | — | 32 | 4 | no | — |
| 665 | #100 | — | 16 | 4 | no | — |
| 666 | #100 | — | 64 | 1 | no | — |
| 667 | #97 | — | 8 | 2 | no | — |
| 668 | C4×C8 | — | 2 | 2 | no | — |
| 669 | C4×C8 | — | 2 | 1 | no | — |
| 670 | C4×C8 | — | 2 | 1 | no | — |
| 671 | C4×C8 | — | 8 | 2 | no | — |
| 672 | C4×C8 | #2358 | 1 | 1 | yes | characteristic |
| 673 | C4×C8 | #3282 | 1 | 2 | yes | — |
| 674 | C4×C8 | #3291 | 1 | 1 | yes | characteristic |
| 675 | C32 | — | 4 | 2 | no | — |
| 676 | C32 | — | 4 | 2 | no | — |
| 677 | C32 | — | 8 | 2 | no | — |
| 678 | C32 | — | 8 | 4 | no | — |
| 679 | C32 | — | 16 | 2 | no | — |
| 680 | C24 | — | 32 | 1 | no | — |
| 681 | C24 | — | 32 | 1 | no | — |
| 682 | C24 | — | 64 | 1 | no | — |
| 683 | #41 | — | 4 | 4 | no | — |
| 684 | #41 | — | 4 | 4 | no | — |
| 685 | #41 | — | 8 | 2 | no | — |
| 686 | #41 | — | 8 | 2 | no | — |
| 687 | #41 | — | 32 | 8 | no | — |
| 688 | #41 | — | 64 | 4 | no | — |
| 689 | C2×Q8 | — | 4 | 2 | no | — |
| 690 | C2×D4 | — | 4 | 2 | no | — |
| 691 | C2×D4 | — | 8 | 2 | no | — |
| 692 | C2×D4 | — | 16 | 2 | no | — |
| 693 | C2×D4 | — | 16 | 2 | no | — |
| 694 | C2×D4 | — | 32 | 2 | no | — |
| 695 | C2×D4 | — | 32 | 2 | no | — |
| 696 | C2×D4 | — | 32 | 8 | no | — |
| 697 | C2×D4 | — | 32 | 2 | no | — |
| 698 | C2×D4 | — | 32 | 2 | no | — |
| 699 | C2×D4 | — | 32 | 2 | no | — |
| 700 | C2×D4 | — | 32 | 2 | no | — |
| 701 | C2×D4 | — | 32 | 1 | no | — |
| 702 | C2×D4 | — | 32 | 1 | no | — |
| 703 | C2×D4 | — | 64 | 1 | no | — |
| 704 | C2×D4 | — | 64 | 1 | no | — |
| 705 | C2×D4 | — | 64 | 4 | no | — |
| 706 | C2×D4 | — | 64 | 4 | no | — |
| 707 | C2×D4 | — | 64 | 4 | no | — |
| 708 | C2×D4 | — | 64 | 2 | no | — |
| 709 | C2×D4 | — | 64 | 4 | no | — |
| 710 | C2×D4 | — | 64 | 4 | no | — |
| 711 | C22×C4 | — | 2 | 1 | no | — |
| 712 | C22×C4 | — | 8 | 2 | no | — |
| 713 | C22×C4 | — | 64 | 2 | no | — |
| 714 | C22×C4 | — | 64 | 1 | no | — |
| 715 | C22×C4 | D82 | 1 | 1 | yes | characteristic |
| 716 | Q16 | — | 2 | 4 | no | — |
| 717 | Q16 | — | 4 | 2 | no | — |
| 718 | SD16 | — | 4 | 4 | no | — |
| 719 | SD16 | — | 4 | 4 | no | — |
| 720 | SD16 | — | 32 | 8 | no | — |
| 721 | D8 | — | 2 | 4 | no | — |
| 722 | D8 | — | 4 | 2 | no | — |
| 723 | D8 | — | 16 | 4 | no | — |
| 724 | D8 | — | 16 | 4 | no | — |
| 725 | D8 | — | 16 | 4 | no | — |
| 726 | D8 | — | 16 | 4 | no | — |
| 727 | D8 | — | 32 | 8 | no | — |
| 728 | D8 | — | 32 | 8 | no | — |
| 729 | D8 | — | 32 | 8 | no | — |
| 730 | D8 | — | 32 | 2 | no | — |
| 731 | D8 | — | 32 | 2 | no | — |
| 732 | D8 | — | 32 | 2 | no | — |
| 733 | D8 | — | 32 | 2 | no | — |
| 734 | D8 | — | 64 | 4 | no | — |
| 735 | D8 | — | 64 | 4 | no | — |
| 736 | M16 | — | 4 | 4 | no | — |
| 737 | M16 | — | 8 | 2 | no | — |
| 738 | M16 | — | 8 | 4 | no | — |
| 739 | M16 | — | 8 | 4 | no | — |
| 740 | M16 | — | 8 | 2 | no | — |
| 741 | M16 | — | 8 | 2 | no | — |
| 742 | M16 | — | 32 | 2 | no | — |
| 743 | M16 | — | 32 | 2 | no | — |
| 744 | M16 | — | 64 | 4 | no | — |
| 745 | C2×C8 | — | 2 | 2 | no | — |
| 746 | C2×C8 | — | 2 | 2 | no | — |
| 747 | C2×C8 | — | 4 | 4 | no | — |
| 748 | C2×C8 | — | 8 | 2 | no | — |
| 749 | C2×C8 | — | 8 | 4 | no | — |
| 750 | C2×C8 | — | 8 | 4 | no | — |
| 751 | C2×C8 | — | 8 | 2 | no | — |
| 752 | C2×C8 | — | 32 | 2 | no | — |
| 753 | C2×C8 | — | 64 | 4 | no | — |
| 754 | C2×C8 | #19970 | 1 | 2 | yes | — |
| 755 | C2×C8 | #22870 | 1 | 2 | yes | — |
| 756 | C2×C8 | #33830 | 1 | 2 | yes | — |
| 757 | C2×C8 | #33831 | 1 | 2 | yes | — |
| 758 | C2×C8 | #33854 | 1 | 2 | yes | — |
| 759 | C2×C8 | #33854 | 1 | 2 | yes | — |
| 760 | C4⋊C4 | — | 8 | 2 | no | — |
| 761 | C22⋊C4 | — | 8 | 2 | no | — |
| 762 | C22⋊C4 | — | 64 | 2 | no | — |
| 763 | C42 | — | 2 | 1 | no | — |
| 764 | C42 | — | 8 | 2 | no | — |
| 765 | C42 | #19996 | 1 | 1 | yes | characteristic |
| 766 | C42 | #22897 | 1 | 1 | yes | characteristic |
| 767 | C16 | — | 2 | 8 | no | — |
| 768 | C16 | — | 2 | 2 | no | — |
| 769 | C16 | — | 2 | 2 | no | — |
| 770 | C16 | — | 4 | 4 | no | — |
| 771 | C16 | — | 8 | 4 | no | — |
| 772 | C16 | — | 16 | 2 | no | — |
| 773 | C16 | C2×#2177 | 1 | 2 | yes | — |
| 774 | C16 | #33454 | 1 | 2 | yes | — |
| 775 | C16 | #33873 | 1 | 2 | yes | — |
| 776 | C16 | #33885 | 1 | 2 | yes | — |
| 777 | C23 | — | 256 | 2 | no | — |
| 778 | C23 | — | 8 | 2 | no | — |
| 779 | C23 | — | 32 | 2 | no | — |
| 780 | C23 | — | 32 | 2 | no | — |
| 781 | C23 | — | 64 | 4 | no | — |
| 782 | C23 | — | 64 | 1 | no | — |
| 783 | C23 | — | 64 | 1 | no | — |
| 784 | C23 | — | 64 | 1 | no | — |
| 785 | C23 | — | 64 | 1 | no | — |
| 786 | C23 | — | 128 | 2 | no | — |
| 787 | C23 | — | 128 | 2 | no | — |
| 788 | C23 | #492531 | 1 | 1 | yes | characteristic |
| 789 | Q8 | — | 4 | 4 | no | — |
| 790 | Q8 | — | 8 | 2 | no | — |
| 791 | D4 | — | 4 | 4 | no | — |
| 792 | D4 | — | 8 | 4 | no | — |
| 793 | D4 | — | 8 | 4 | no | — |
| 794 | D4 | — | 8 | 2 | no | — |
| 795 | D4 | — | 32 | 4 | no | — |
| 796 | D4 | — | 32 | 4 | no | — |
| 797 | D4 | — | 64 | 4 | no | — |
| 798 | D4 | — | 64 | 4 | no | — |
| 799 | D4 | — | 64 | 8 | no | — |
| 800 | D4 | — | 64 | 2 | no | — |
| 801 | D4 | — | 64 | 2 | no | — |
| 802 | D4 | — | 128 | 2 | no | — |
| 803 | D4 | — | 128 | 2 | no | — |
| 804 | C2×C4 | — | 256 | 2 | no | — |
| 805 | C2×C4 | — | 2 | 1 | no | — |
| 806 | C2×C4 | — | 2 | 1 | no | — |
| 807 | C2×C4 | — | 4 | 2 | no | — |
| 808 | C2×C4 | — | 8 | 2 | no | — |
| 809 | C2×C4 | — | 8 | 4 | no | — |
| 810 | C2×C4 | — | 8 | 4 | no | — |
| 811 | C2×C4 | — | 16 | 2 | no | — |
| 812 | C2×C4 | — | 64 | 4 | no | — |
| 813 | C2×C4 | #226998 | 1 | 1 | yes | characteristic |
| 814 | C2×C4 | #492504 | 1 | 2 | yes | — |
| 815 | C2×C4 | #492505 | 1 | 2 | yes | — |
| 816 | C2×C4 | #492532 | 1 | 1 | yes | characteristic |
| 817 | C8 | — | 2 | 4 | no | — |
| 818 | C8 | — | 4 | 2 | no | — |
| 819 | C8 | — | 8 | 4 | no | — |
| 820 | C8 | — | 16 | 2 | no | — |
| 821 | C8 | — | 64 | 2 | no | — |
| 822 | C8 | #492646 | 1 | 2 | yes | — |
| 823 | C8 | #492650 | 1 | 2 | yes | — |
| 824 | C8 | #498148 | 1 | 2 | yes | — |
| 825 | C8 | #498170 | 1 | 2 | yes | — |
| 826 | C22 | — | 256 | 1 | no | — |
| 827 | C22 | — | 256 | 1 | no | — |
| 828 | C22 | — | 256 | 4 | no | — |
| 829 | C22 | — | 4 | 1 | no | — |
| 830 | C22 | — | 8 | 4 | no | — |
| 831 | C22 | — | 32 | 2 | no | — |
| 832 | C22 | — | 64 | 2 | no | — |
| 833 | C22 | — | 64 | 2 | no | — |
| 834 | C22 | — | 128 | 2 | no | — |
| 835 | C22 | — | 128 | 2 | no | — |
| 836 | C22 | — | 128 | 2 | no | — |
| 837 | C22 | — | 128 | 2 | no | — |
| 838 | C22 | #72216411 | 1 | 1 | yes | characteristic |
| 839 | C22 | #72226955 | 1 | 1 | yes | characteristic |
| 840 | C22 | #72226956 | 1 | 1 | yes | characteristic |
| 841 | C4 | — | 2 | 2 | no | — |
| 842 | C4 | — | 4 | 1 | no | — |
| 843 | C4 | — | 8 | 4 | no | — |
| 844 | C4 | — | 32 | 2 | no | — |
| 845 | C4 | #72226892 | 1 | 2 | yes | — |
| 846 | C4 | #72226954 | 1 | 2 | yes | — |
| 847 | C2 | — | 2 | 1 | no | — |
| 848 | C2 | — | 2 | 1 | no | — |
| 849 | C2 | — | 2 | 1 | no | — |
| 850 | C2 | — | 16 | 4 | no | — |
| 851 | C2 | — | 128 | 2 | no | — |
| 852 | C2 | — | 128 | 2 | no | — |
| 853 | C2 | #72226957 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72226957 |
| commutator | C8×C16 | C23×C4 |
| Frattini, cosocle | C2×C8×C16 | C24 |
| prime radical | C2×#72214187 | C2 |
| LCS | G ▷ C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C2×C4×C8 ◁ C2×C8×C16 ◁ G | |
| LECS | G ▷ C2×C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72226927 | C2 | semidirect |
| 2. #72226916 | C2 | semidirect |
| 3. #72226884 | C2 | semidirect |
| 7. #72226871 | C2 | semidirect |
| 11. #72225607 | C2 | semidirect |
| 12. #72225599 | C22 | semidirect |
| 16. #72225385 | C2 | semidirect |
| 17. #72225373 | C22 | semidirect |
| 18. #72225363 | C22 | semidirect |
| 20. #72225342 | C22 | semidirect |
| 23. #72225199 | C2 | semidirect |
| 26. C2×#93866 | C22 | semidirect |
| 27. #72216534 | C22 | semidirect |
| 29. #72216416 | C22 | semidirect |
| 31. #72216374 | C2 | semidirect |
| 33. #72216288 | C22 | semidirect |
| 36. #72216239 | C22 | semidirect |
| 37. #72216220 | C22 | semidirect |
| 39. #72214187 | C4 | semidirect |
| 40. #72214187 | C4 | semidirect |
| 51. #492532 | C2×C4 | semidirect |
| 102. #93866 | C2×C4 | semidirect |
| 103. #93751 | C2×C4 | semidirect |
| 104. #93751 | C2×C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72226927 | 2 |
| #72226916 | 2 |
| #72226884 | 2 |
| #72226871 | 2 |
| #72225607 | 2 |
| #72225385 | 2 |
| #72225199 | 2 |
| C2×#72214187 | 2 |
| #72216374 | 2 |