Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
5194 conjugacy classes of subgroups.
The subgroup lattice has 899 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72225591 | C2 | 1 | 8 | yes | maximal, complemented |
| 2 | #72225590 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72225589 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #72225587 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72225586 | C22 | 1 | 4 | yes | complemented |
| 6 | #72225585 | C22 | 1 | 4 | yes | complemented |
| 7 | #72225584 | C22 | 1 | 4 | yes | complemented |
| 8 | #72225583 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #72225581 | C22 | 1 | 16 | yes | complemented |
| 10 | #72225580 | C22 | 1 | 16 | yes | complemented |
| 11 | #72225579 | C22 | 1 | 2 | yes | complemented |
| 12 | #72225576 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #72225571 | — | 2 | 4 | no | — |
| 14 | #72225569 | — | 2 | 4 | no | — |
| 15 | #72225567 | — | 2 | 4 | no | — |
| 16 | #72225565 | — | 2 | 16 | no | — |
| 17 | #72225563 | C22 | 1 | 16 | yes | complemented |
| 18 | #72225561 | C22 | 1 | 16 | yes | complemented |
| 19 | #72225555 | — | 2 | 4 | no | — |
| 20 | #72225394 | C22 | 1 | 2 | yes | complemented |
| 21 | #72225360 | C2 | 1 | 2 | yes | maximal, complemented |
| 22 | #72225356 | C22 | 1 | 8 | yes | complemented |
| 23 | #72225355 | C22 | 1 | 8 | yes | complemented |
| 24 | #72225353 | C22 | 1 | 4 | yes | complemented |
| 25 | #72225352 | C22 | 1 | 2 | yes | complemented |
| 26 | #72225339 | C22 | 1 | 4 | yes | complemented |
| 27 | #72225308 | C22 | 1 | 2 | yes | — |
| 28 | C2×#72214187 | C2 | 1 | 2 | yes | maximal, complemented |
| 29 | C2×#93866 | C22 | 1 | 2 | yes | complemented |
| 30 | C2×#93751 | C22 | 1 | 4 | yes | complemented |
| 31 | C2×#492532 | C22 | 1 | 2 | yes | complemented |
| 32 | #72216368 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 33 | #72216364 | C22 | 1 | 2 | yes | complemented |
| 34 | #72216358 | C22 | 1 | 4 | yes | complemented |
| 35 | #72216275 | C22 | 1 | 4 | yes | complemented |
| 36 | #72216263 | C22 | 1 | 2 | yes | complemented |
| 37 | C2×#151634 | C22 | 1 | 4 | yes | complemented |
| 38 | #72216236 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C16×M64 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C2×#123403 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #72214187 | C22 | 1 | 8 | yes | complemented |
| 42 | #72214187 | C22 | 1 | 8 | yes | complemented |
| 43 | #72214187 | C22 | 1 | 4 | yes | complemented |
| 44 | #7625195 | — | 4 | 4 | no | — |
| 45 | #7623661 | — | 2 | 4 | no | — |
| 46 | C2×#33858 | — | 2 | 4 | no | — |
| 47 | #513193 | — | 4 | 16 | no | — |
| 48 | #513190 | — | 2 | 16 | no | — |
| 49 | #513188 | — | 2 | 16 | no | — |
| 50 | #513051 | — | 2 | 4 | no | — |
| 51 | #513051 | — | 2 | 4 | no | — |
| 52 | #512952 | — | 4 | 4 | no | — |
| 53 | #512928 | — | 2 | 4 | no | — |
| 54 | C2×#13692 | — | 2 | 4 | no | — |
| 55 | #512851 | — | 4 | 4 | no | — |
| 56 | #512849 | — | 4 | 4 | no | — |
| 57 | #512773 | D4 | 1 | 2 | yes | — |
| 58 | #512751 | — | 2 | 4 | no | — |
| 59 | #492533 | C23 | 1 | 4 | yes | — |
| 60 | #492532 | — | 2 | 8 | no | — |
| 61 | #492532 | — | 4 | 2 | no | — |
| 62 | #492532 | C23 | 1 | 4 | yes | — |
| 63 | #492532 | C23 | 1 | 8 | yes | complemented |
| 64 | #492531 | — | 4 | 2 | no | — |
| 65 | #492530 | — | 2 | 8 | no | — |
| 66 | #491485 | — | 4 | 1 | no | — |
| 67 | #491465 | C23 | 1 | 2 | yes | — |
| 68 | C2×#12515 | — | 4 | 1 | no | — |
| 69 | C2×#12515 | C23 | 1 | 2 | yes | — |
| 70 | #490484 | — | 2 | 4 | no | — |
| 71 | C2×#12436 | — | 2 | 4 | no | — |
| 72 | #488869 | — | 4 | 2 | no | — |
| 73 | C2×#12310 | — | 4 | 2 | no | — |
| 74 | C2×#12046 | C23 | 1 | 4 | yes | — |
| 75 | #151728 | — | 2 | 8 | no | — |
| 76 | #151726 | C23 | 1 | 8 | yes | complemented |
| 77 | #151724 | C23 | 1 | 8 | yes | complemented |
| 78 | #151645 | — | 2 | 16 | no | — |
| 79 | #151643 | — | 2 | 16 | no | — |
| 80 | #151636 | — | 2 | 8 | no | — |
| 81 | #151635 | C23 | 1 | 8 | yes | complemented |
| 82 | #151634 | — | 2 | 8 | no | — |
| 83 | #151634 | C23 | 1 | 16 | yes | — |
| 84 | #151634 | C23 | 1 | 8 | yes | complemented |
| 85 | #151526 | — | 2 | 16 | no | — |
| 86 | #151525 | — | 2 | 16 | no | — |
| 87 | #151524 | — | 2 | 16 | no | — |
| 88 | #151524 | — | 2 | 16 | no | — |
| 89 | #151082 | D4 | 1 | 8 | yes | — |
| 90 | #151081 | C23 | 1 | 8 | yes | — |
| 91 | #151073 | — | 2 | 8 | no | — |
| 92 | #151072 | C23 | 1 | 16 | yes | complemented |
| 93 | #151035 | D4 | 1 | 2 | yes | — |
| 94 | C2×#7459 | C23 | 1 | 4 | yes | — |
| 95 | #150950 | — | 2 | 4 | no | — |
| 96 | C2×#7448 | — | 2 | 4 | no | — |
| 97 | #150067 | D4 | 1 | 4 | yes | — |
| 98 | #150051 | — | 2 | 4 | no | — |
| 99 | C8×M64 | C23 | 1 | 2 | yes | — |
| 100 | #123406 | C23 | 1 | 2 | yes | complemented |
| 101 | #123405 | — | 4 | 1 | no | — |
| 102 | #123404 | C23 | 1 | 1 | yes | characteristic, complemented |
| 103 | #123403 | — | 4 | 1 | no | — |
| 104 | #123403 | C23 | 1 | 2 | yes | — |
| 105 | #123403 | C23 | 1 | 2 | yes | — |
| 106 | #123403 | C23 | 1 | 1 | yes | characteristic, complemented |
| 107 | C2×C162 | C23 | 1 | 1 | yes | characteristic |
| 108 | #93882 | C23 | 1 | 8 | yes | complemented |
| 109 | #93867 | C23 | 1 | 4 | yes | complemented |
| 110 | #93866 | C23 | 1 | 4 | yes | complemented |
| 111 | #93866 | C23 | 1 | 8 | yes | complemented |
| 112 | #93751 | C23 | 1 | 8 | yes | complemented |
| 113 | #93751 | C23 | 1 | 8 | yes | complemented |
| 114 | #93664 | C23 | 1 | 2 | yes | complemented |
| 115 | C16×C32 | C23 | 1 | 2 | yes | complemented |
| 116 | #62635 | — | 4 | 4 | no | — |
| 117 | C2×#3415 | — | 4 | 4 | no | — |
| 118 | #61105 | — | 4 | 2 | no | — |
| 119 | C2×#3292 | — | 4 | 2 | no | — |
| 120 | #33983 | — | 4 | 16 | no | — |
| 121 | #33983 | — | 8 | 8 | no | — |
| 122 | #33982 | — | 4 | 16 | no | — |
| 123 | #33982 | — | 8 | 8 | no | — |
| 124 | #33981 | — | 4 | 4 | no | — |
| 125 | #33981 | — | 8 | 8 | no | — |
| 126 | #33981 | D8 | 1 | 2 | yes | — |
| 127 | C2×#2263 | — | 4 | 4 | no | — |
| 128 | C2×#2263 | — | 4 | 4 | no | — |
| 129 | C2×#2263 | — | 4 | 4 | no | — |
| 130 | C2×#2263 | — | 8 | 4 | no | — |
| 131 | C2×#2263 | — | 8 | 8 | no | — |
| 132 | #33974 | — | 4 | 4 | no | — |
| 133 | #33860 | — | 2 | 8 | no | — |
| 134 | #33859 | — | 4 | 8 | no | — |
| 135 | #33858 | — | 2 | 8 | no | — |
| 136 | #33858 | — | 2 | 16 | no | — |
| 137 | #33858 | — | 4 | 8 | no | — |
| 138 | #33858 | — | 4 | 8 | no | — |
| 139 | #33858 | — | 8 | 4 | no | — |
| 140 | #33857 | — | 8 | 4 | no | — |
| 141 | #33856 | — | 4 | 8 | no | — |
| 142 | #33733 | — | 8 | 2 | no | — |
| 143 | #33713 | — | 2 | 4 | no | — |
| 144 | C2×#2246 | — | 2 | 4 | no | — |
| 145 | C2×#2246 | — | 8 | 2 | no | — |
| 146 | #33617 | — | 4 | 4 | no | — |
| 147 | C2×#2221 | — | 4 | 4 | no | — |
| 148 | #33594 | — | 4 | 4 | no | — |
| 149 | C2×#2213 | — | 4 | 4 | no | — |
| 150 | #33538 | — | 8 | 4 | no | — |
| 151 | C2×#2192 | — | 8 | 4 | no | — |
| 152 | C2×#2178 | C2×D4 | 1 | 4 | yes | — |
| 153 | C2×#2170 | — | 2 | 4 | no | — |
| 154 | #19603 | — | 2 | 2 | no | — |
| 155 | C2×#1712 | — | 2 | 2 | no | — |
| 156 | #13729 | — | 4 | 8 | no | — |
| 157 | #13729 | — | 8 | 4 | no | — |
| 158 | #13727 | — | 2 | 8 | no | — |
| 159 | #13727 | — | 2 | 8 | no | — |
| 160 | #13725 | — | 2 | 8 | no | — |
| 161 | #13725 | — | 2 | 8 | no | — |
| 162 | #13702 | — | 4 | 16 | no | — |
| 163 | #13700 | — | 4 | 16 | no | — |
| 164 | #13693 | — | 2 | 8 | no | — |
| 165 | #13692 | — | 2 | 16 | no | — |
| 166 | #13692 | — | 2 | 8 | no | — |
| 167 | #13692 | — | 4 | 8 | no | — |
| 168 | #13691 | — | 4 | 8 | no | — |
| 169 | #13671 | — | 4 | 16 | no | — |
| 170 | #13670 | — | 4 | 16 | no | — |
| 171 | #13669 | — | 4 | 16 | no | — |
| 172 | #13669 | — | 4 | 16 | no | — |
| 173 | #13656 | D8 | 1 | 8 | yes | — |
| 174 | #13655 | C2×D4 | 1 | 8 | yes | — |
| 175 | #13648 | — | 4 | 8 | no | — |
| 176 | #13647 | — | 2 | 16 | no | — |
| 177 | #13636 | D8 | 1 | 2 | yes | — |
| 178 | C2×#1422 | — | 2 | 4 | no | — |
| 179 | #13625 | — | 4 | 4 | no | — |
| 180 | C2×#1419 | — | 4 | 4 | no | — |
| 181 | #13620 | D8 | 1 | 4 | yes | — |
| 182 | #13558 | — | 4 | 4 | no | — |
| 183 | C4×M64 | C2×D4 | 1 | 2 | yes | — |
| 184 | C4×M64 | C2×D4 | 1 | 2 | yes | — |
| 185 | #12521 | — | 4 | 1 | no | — |
| 186 | #12518 | — | 2 | 4 | no | — |
| 187 | #12517 | — | 2 | 2 | no | — |
| 188 | #12516 | C24 | 1 | 2 | yes | — |
| 189 | #12515 | — | 2 | 4 | no | — |
| 190 | #12515 | — | 2 | 2 | no | — |
| 191 | #12515 | — | 4 | 2 | no | — |
| 192 | #12515 | — | 4 | 2 | no | — |
| 193 | #12515 | — | 4 | 1 | no | — |
| 194 | #12515 | — | 8 | 2 | no | — |
| 195 | #12515 | C24 | 1 | 4 | yes | — |
| 196 | #12515 | C24 | 1 | 2 | yes | — |
| 197 | #12509 | — | 4 | 2 | no | — |
| 198 | #12503 | — | 8 | 2 | no | — |
| 199 | #12438 | — | 4 | 8 | no | — |
| 200 | #12437 | — | 2 | 8 | no | — |
| 201 | #12436 | — | 2 | 8 | no | — |
| 202 | #12436 | — | 2 | 16 | no | — |
| 203 | #12436 | — | 4 | 8 | no | — |
| 204 | #12313 | — | 4 | 4 | no | — |
| 205 | #12312 | — | 4 | 4 | no | — |
| 206 | #12311 | — | 4 | 4 | no | — |
| 207 | #12310 | — | 4 | 8 | no | — |
| 208 | #12310 | — | 4 | 4 | no | — |
| 209 | #12310 | — | 4 | 8 | no | — |
| 210 | #12046 | — | 2 | 4 | no | — |
| 211 | #12046 | — | 2 | 4 | no | — |
| 212 | #12046 | C2×D4 | 1 | 8 | yes | — |
| 213 | #12046 | C24 | 1 | 8 | yes | — |
| 214 | C2×#1373 | C2×D4 | 1 | 4 | yes | — |
| 215 | #11920 | — | 4 | 2 | no | — |
| 216 | C2×#1357 | — | 4 | 2 | no | — |
| 217 | C2×#1335 | — | 2 | 4 | no | — |
| 218 | C2×C8×C16 | — | 2 | 1 | no | — |
| 219 | C2×C8×C16 | C24 | 1 | 1 | yes | characteristic |
| 220 | #7462 | C2×D4 | 1 | 8 | yes | — |
| 221 | #7459 | — | 2 | 4 | no | — |
| 222 | #7459 | C24 | 1 | 8 | yes | — |
| 223 | #7449 | — | 2 | 8 | no | — |
| 224 | #7448 | — | 2 | 16 | no | — |
| 225 | #7448 | — | 2 | 8 | no | — |
| 226 | #7387 | C2×D4 | 1 | 16 | yes | — |
| 227 | #7381 | — | 2 | 16 | no | — |
| 228 | #7329 | C2×D4 | 1 | 4 | yes | — |
| 229 | C8×C32 | C24 | 1 | 4 | yes | — |
| 230 | C162 | — | 2 | 1 | no | — |
| 231 | C162 | C24 | 1 | 1 | yes | characteristic |
| 232 | C162 | C24 | 1 | 1 | yes | characteristic |
| 233 | #3584 | — | 8 | 4 | no | — |
| 234 | C2×#576 | — | 8 | 4 | no | — |
| 235 | #3417 | — | 4 | 8 | no | — |
| 236 | #3417 | — | 8 | 4 | no | — |
| 237 | #3416 | — | 8 | 8 | no | — |
| 238 | #3416 | — | 16 | 4 | no | — |
| 239 | #3415 | — | 4 | 16 | no | — |
| 240 | #3415 | — | 4 | 8 | no | — |
| 241 | #3415 | — | 8 | 8 | no | — |
| 242 | #3415 | — | 8 | 8 | no | — |
| 243 | #3415 | — | 8 | 4 | no | — |
| 244 | #3415 | — | 16 | 4 | no | — |
| 245 | #3414 | — | 8 | 4 | no | — |
| 246 | #3414 | — | 16 | 4 | no | — |
| 247 | C2×#509 | — | 8 | 4 | no | — |
| 248 | C2×#509 | — | 16 | 4 | no | — |
| 249 | C2×#508 | — | 4 | 4 | no | — |
| 250 | C2×#508 | — | 4 | 4 | no | — |
| 251 | C2×#508 | — | 8 | 8 | no | — |
| 252 | C2×#508 | — | 8 | 4 | no | — |
| 253 | C2×#508 | C2×D8 | 1 | 4 | yes | — |
| 254 | C22×D16 | — | 4 | 4 | no | — |
| 255 | C22×D16 | — | 4 | 4 | no | — |
| 256 | C22×D16 | — | 8 | 4 | no | — |
| 257 | C22×D16 | — | 16 | 4 | no | — |
| 258 | C2×#504 | — | 4 | 4 | no | — |
| 259 | #3293 | — | 4 | 4 | no | — |
| 260 | #3292 | — | 4 | 8 | no | — |
| 261 | #3292 | — | 4 | 4 | no | — |
| 262 | #3292 | — | 8 | 8 | no | — |
| 263 | #3292 | — | 16 | 2 | no | — |
| 264 | #3291 | — | 16 | 2 | no | — |
| 265 | #3290 | — | 8 | 8 | no | — |
| 266 | #3169 | — | 8 | 2 | no | — |
| 267 | #3147 | — | 4 | 2 | no | — |
| 268 | C2×#493 | — | 4 | 2 | no | — |
| 269 | C2×#493 | — | 8 | 2 | no | — |
| 270 | #3067 | — | 8 | 4 | no | — |
| 271 | C2×#472 | — | 8 | 4 | no | — |
| 272 | #3018 | — | 16 | 2 | no | — |
| 273 | C2×#453 | — | 16 | 2 | no | — |
| 274 | C2×#443 | — | 2 | 4 | no | — |
| 275 | #2264 | — | 4 | 8 | no | — |
| 276 | #2264 | — | 8 | 4 | no | — |
| 277 | #2264 | — | 8 | 16 | no | — |
| 278 | #2264 | D16 | 1 | 8 | yes | complemented |
| 279 | #2263 | — | 4 | 8 | no | — |
| 280 | #2263 | — | 4 | 16 | no | — |
| 281 | #2263 | — | 8 | 8 | no | — |
| 282 | #2263 | — | 8 | 4 | no | — |
| 283 | #2263 | — | 8 | 16 | no | — |
| 284 | #2263 | — | 8 | 16 | no | — |
| 285 | #2263 | — | 8 | 16 | no | — |
| 286 | #2263 | — | 8 | 8 | no | — |
| 287 | #2263 | — | 8 | 8 | no | — |
| 288 | #2263 | — | 16 | 4 | no | — |
| 289 | #2263 | — | 16 | 4 | no | — |
| 290 | #2263 | — | 16 | 8 | no | — |
| 291 | #2263 | — | 16 | 8 | no | — |
| 292 | #2263 | D16 | 1 | 8 | yes | complemented |
| 293 | #2262 | — | 8 | 8 | no | — |
| 294 | #2262 | — | 8 | 16 | no | — |
| 295 | #2262 | — | 8 | 16 | no | — |
| 296 | #2262 | C2×D8 | 1 | 8 | yes | — |
| 297 | C2×SD64 | — | 4 | 8 | no | — |
| 298 | C2×SD64 | — | 4 | 8 | no | — |
| 299 | C2×SD64 | — | 8 | 8 | no | — |
| 300 | C2×SD64 | — | 8 | 4 | no | — |
| 301 | C2×SD64 | — | 8 | 16 | no | — |
| 302 | C2×D32 | — | 4 | 8 | no | — |
| 303 | C2×D32 | — | 4 | 8 | no | — |
| 304 | C2×D32 | — | 8 | 8 | no | — |
| 305 | C2×D32 | — | 8 | 4 | no | — |
| 306 | C2×D32 | — | 8 | 16 | no | — |
| 307 | #2258 | — | 4 | 16 | no | — |
| 308 | #2258 | — | 8 | 8 | no | — |
| 309 | C2×M64 | — | 2 | 2 | no | — |
| 310 | C2×M64 | — | 4 | 4 | no | — |
| 311 | C2×M64 | — | 8 | 8 | no | — |
| 312 | C2×M64 | C2×D8 | 1 | 2 | yes | — |
| 313 | C2×M64 | C2×D8 | 1 | 2 | yes | — |
| 314 | #2252 | — | 8 | 2 | no | — |
| 315 | #2249 | — | 4 | 4 | no | — |
| 316 | #2249 | — | 4 | 4 | no | — |
| 317 | #2248 | — | 4 | 4 | no | — |
| 318 | #2247 | — | 2 | 4 | no | — |
| 319 | #2246 | — | 2 | 4 | no | — |
| 320 | #2246 | — | 2 | 8 | no | — |
| 321 | #2246 | — | 4 | 4 | no | — |
| 322 | #2246 | — | 4 | 4 | no | — |
| 323 | #2246 | — | 4 | 4 | no | — |
| 324 | #2246 | — | 8 | 4 | no | — |
| 325 | #2246 | — | 8 | 4 | no | — |
| 326 | #2246 | — | 8 | 2 | no | — |
| 327 | #2246 | — | 16 | 4 | no | — |
| 328 | #2240 | — | 8 | 4 | no | — |
| 329 | #2223 | — | 8 | 8 | no | — |
| 330 | #2222 | — | 4 | 8 | no | — |
| 331 | #2221 | — | 4 | 16 | no | — |
| 332 | #2221 | — | 4 | 8 | no | — |
| 333 | #2221 | — | 8 | 8 | no | — |
| 334 | #2215 | — | 16 | 4 | no | — |
| 335 | #2214 | — | 4 | 8 | no | — |
| 336 | #2213 | — | 4 | 16 | no | — |
| 337 | #2213 | — | 4 | 8 | no | — |
| 338 | #2213 | — | 8 | 8 | no | — |
| 339 | #2212 | — | 8 | 8 | no | — |
| 340 | #2195 | — | 8 | 8 | no | — |
| 341 | #2194 | — | 8 | 8 | no | — |
| 342 | #2193 | — | 8 | 8 | no | — |
| 343 | #2192 | — | 8 | 8 | no | — |
| 344 | #2192 | — | 8 | 16 | no | — |
| 345 | #2192 | — | 8 | 16 | no | — |
| 346 | #2178 | — | 2 | 4 | no | — |
| 347 | #2178 | — | 2 | 4 | no | — |
| 348 | #2178 | C2×D8 | 1 | 8 | yes | — |
| 349 | #2178 | C22×D4 | 1 | 8 | yes | — |
| 350 | C4×D16 | — | 16 | 4 | no | — |
| 351 | #2170 | — | 2 | 8 | no | — |
| 352 | #2170 | — | 2 | 8 | no | — |
| 353 | #2170 | — | 4 | 4 | no | — |
| 354 | #2170 | — | 4 | 4 | no | — |
| 355 | C2×#368 | C2×D8 | 1 | 4 | yes | — |
| 356 | C2×#364 | — | 2 | 4 | no | — |
| 357 | #2148 | — | 8 | 4 | no | — |
| 358 | C2×#361 | — | 8 | 4 | no | — |
| 359 | C2×#359 | — | 2 | 4 | no | — |
| 360 | C2×#350 | — | 4 | 4 | no | — |
| 361 | C2×C4×C16 | — | 2 | 2 | no | — |
| 362 | C2×C4×C16 | C22×D4 | 1 | 2 | yes | — |
| 363 | #1713 | — | 2 | 2 | no | — |
| 364 | #1712 | — | 2 | 4 | no | — |
| 365 | #1712 | — | 2 | 2 | no | — |
| 366 | #1712 | — | 4 | 2 | no | — |
| 367 | #1712 | — | 8 | 2 | no | — |
| 368 | #1709 | — | 4 | 2 | no | — |
| 369 | #1706 | — | 8 | 2 | no | — |
| 370 | C2×C82 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 371 | #1425 | C2×D8 | 1 | 8 | yes | — |
| 372 | #1422 | — | 2 | 8 | no | — |
| 373 | #1422 | — | 4 | 4 | no | — |
| 374 | #1420 | — | 4 | 8 | no | — |
| 375 | #1419 | — | 4 | 16 | no | — |
| 376 | #1419 | — | 4 | 8 | no | — |
| 377 | #1417 | C2×D8 | 1 | 16 | yes | — |
| 378 | #1401 | — | 4 | 16 | no | — |
| 379 | #1397 | — | 2 | 2 | no | — |
| 380 | #1397 | C2×D8 | 1 | 4 | yes | — |
| 381 | C4×C32 | C22×D4 | 1 | 4 | yes | — |
| 382 | C4×C32 | C22×D4 | 1 | 4 | yes | — |
| 383 | #1373 | — | 2 | 4 | no | — |
| 384 | #1373 | C22×D4 | 1 | 8 | yes | — |
| 385 | #1358 | — | 4 | 4 | no | — |
| 386 | #1357 | — | 4 | 8 | no | — |
| 387 | #1357 | — | 4 | 4 | no | — |
| 388 | #1335 | — | 2 | 8 | no | — |
| 389 | #1335 | — | 2 | 8 | no | — |
| 390 | C8×C16 | — | 2 | 2 | no | — |
| 391 | C8×C16 | — | 2 | 1 | no | — |
| 392 | C8×C16 | — | 2 | 1 | no | — |
| 393 | C8×C16 | C22×D4 | 1 | 2 | yes | — |
| 394 | C8×C16 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 395 | C8×C16 | C25 | 1 | 1 | yes | characteristic |
| 396 | #585 | — | 16 | 2 | no | — |
| 397 | C2×H(5,𝔽2) | — | 16 | 2 | no | — |
| 398 | #578 | — | 8 | 8 | no | — |
| 399 | #578 | — | 16 | 4 | no | — |
| 400 | #577 | — | 16 | 8 | no | — |
| 401 | #577 | — | 32 | 4 | no | — |
| 402 | #576 | — | 8 | 8 | no | — |
| 403 | #576 | — | 8 | 16 | no | — |
| 404 | #576 | — | 16 | 8 | no | — |
| 405 | #576 | — | 16 | 4 | no | — |
| 406 | #576 | — | 16 | 8 | no | — |
| 407 | #576 | — | 32 | 4 | no | — |
| 408 | #575 | — | 16 | 4 | no | — |
| 409 | #575 | — | 32 | 4 | no | — |
| 410 | C2×AGL(1,ℤ/8) | — | 16 | 4 | no | — |
| 411 | C2×AGL(1,ℤ/8) | — | 32 | 4 | no | — |
| 412 | C2×#135 | — | 2 | 4 | no | — |
| 413 | C2×#135 | — | 8 | 4 | no | — |
| 414 | C2×#135 | — | 16 | 4 | no | — |
| 415 | C2×#135 | — | 16 | 8 | no | — |
| 416 | C22×D8 | — | 8 | 4 | no | — |
| 417 | C22×D8 | — | 16 | 4 | no | — |
| 418 | C22×D8 | — | 16 | 4 | no | — |
| 419 | C2×#131 | — | 4 | 4 | no | — |
| 420 | #532 | — | 8 | 2 | no | — |
| 421 | C2×#127 | — | 8 | 2 | no | — |
| 422 | #510 | — | 8 | 8 | no | — |
| 423 | #510 | — | 16 | 8 | no | — |
| 424 | #510 | — | 16 | 8 | no | — |
| 425 | #510 | — | 16 | 4 | no | — |
| 426 | #509 | — | 8 | 16 | no | — |
| 427 | #509 | — | 8 | 8 | no | — |
| 428 | #509 | — | 16 | 8 | no | — |
| 429 | #509 | — | 16 | 16 | no | — |
| 430 | #509 | — | 16 | 8 | no | — |
| 431 | #509 | — | 16 | 16 | no | — |
| 432 | #509 | — | 16 | 4 | no | — |
| 433 | #509 | — | 16 | 8 | no | — |
| 434 | #508 | — | 2 | 4 | no | — |
| 435 | #508 | — | 2 | 4 | no | — |
| 436 | #508 | — | 8 | 16 | no | — |
| 437 | #508 | — | 8 | 8 | no | — |
| 438 | #508 | — | 8 | 8 | no | — |
| 439 | #508 | — | 8 | 4 | no | — |
| 440 | #508 | — | 8 | 4 | no | — |
| 441 | #508 | — | 8 | 4 | no | — |
| 442 | #508 | — | 8 | 4 | no | — |
| 443 | #508 | — | 16 | 4 | no | — |
| 444 | #508 | — | 16 | 4 | no | — |
| 445 | #508 | — | 16 | 8 | no | — |
| 446 | #508 | — | 16 | 8 | no | — |
| 447 | #508 | — | 16 | 8 | no | — |
| 448 | #508 | C2×D16 | 1 | 8 | yes | — |
| 449 | #508 | C22×D8 | 1 | 8 | yes | — |
| 450 | C2×Q32 | — | 4 | 4 | no | — |
| 451 | C2×Q32 | — | 4 | 4 | no | — |
| 452 | C2×Q32 | — | 8 | 8 | no | — |
| 453 | C2×Q32 | C2×D16 | 1 | 4 | yes | — |
| 454 | C2×SD32 | — | 2 | 4 | no | — |
| 455 | C2×SD32 | — | 8 | 4 | no | — |
| 456 | C2×SD32 | — | 8 | 4 | no | — |
| 457 | C2×SD32 | — | 16 | 8 | no | — |
| 458 | C2×SD32 | — | 16 | 4 | no | — |
| 459 | C2×D16 | — | 4 | 8 | no | — |
| 460 | C2×D16 | — | 4 | 4 | no | — |
| 461 | C2×D16 | — | 4 | 8 | no | — |
| 462 | C2×D16 | — | 4 | 4 | no | — |
| 463 | C2×D16 | — | 8 | 16 | no | — |
| 464 | C2×D16 | — | 8 | 8 | no | — |
| 465 | C2×D16 | — | 8 | 4 | no | — |
| 466 | C2×D16 | — | 8 | 4 | no | — |
| 467 | C2×D16 | — | 8 | 4 | no | — |
| 468 | C2×D16 | — | 8 | 4 | no | — |
| 469 | C2×D16 | — | 8 | 4 | no | — |
| 470 | C2×D16 | — | 8 | 4 | no | — |
| 471 | C2×D16 | — | 16 | 4 | no | — |
| 472 | C2×D16 | — | 16 | 4 | no | — |
| 473 | C2×D16 | — | 16 | 8 | no | — |
| 474 | C2×D16 | — | 16 | 8 | no | — |
| 475 | C2×D16 | — | 16 | 4 | no | — |
| 476 | C2×D16 | — | 16 | 8 | no | — |
| 477 | C2×D16 | — | 16 | 4 | no | — |
| 478 | C2×D16 | — | 32 | 16 | no | — |
| 479 | C2×D16 | C2×D16 | 1 | 4 | yes | — |
| 480 | #504 | — | 4 | 8 | no | — |
| 481 | #504 | — | 4 | 8 | no | — |
| 482 | #504 | — | 8 | 4 | no | — |
| 483 | #504 | — | 8 | 4 | no | — |
| 484 | C2×M32 | — | 4 | 4 | no | — |
| 485 | C2×M32 | — | 8 | 4 | no | — |
| 486 | C22×C16 | — | 2 | 4 | no | — |
| 487 | C22×C16 | — | 8 | 4 | no | — |
| 488 | C22×C16 | C22×D8 | 1 | 2 | yes | — |
| 489 | C22×C16 | #576 | 1 | 2 | yes | — |
| 490 | #500 | — | 8 | 2 | no | — |
| 491 | #495 | — | 8 | 4 | no | — |
| 492 | #494 | — | 4 | 2 | no | — |
| 493 | #493 | — | 4 | 4 | no | — |
| 494 | #493 | — | 4 | 2 | no | — |
| 495 | #493 | — | 8 | 4 | no | — |
| 496 | #493 | — | 8 | 2 | no | — |
| 497 | #493 | — | 8 | 4 | no | — |
| 498 | #493 | — | 8 | 2 | no | — |
| 499 | #493 | — | 16 | 2 | no | — |
| 500 | #493 | — | 16 | 4 | no | — |
| 501 | #492 | — | 8 | 2 | no | — |
| 502 | #486 | — | 16 | 2 | no | — |
| 503 | #473 | — | 8 | 8 | no | — |
| 504 | #472 | — | 8 | 16 | no | — |
| 505 | #472 | — | 8 | 8 | no | — |
| 506 | #472 | — | 16 | 8 | no | — |
| 507 | #471 | — | 16 | 8 | no | — |
| 508 | #466 | — | 16 | 4 | no | — |
| 509 | #456 | — | 16 | 4 | no | — |
| 510 | #455 | — | 16 | 4 | no | — |
| 511 | #454 | — | 16 | 4 | no | — |
| 512 | #453 | — | 16 | 8 | no | — |
| 513 | #453 | — | 16 | 4 | no | — |
| 514 | #453 | — | 16 | 8 | no | — |
| 515 | #443 | — | 2 | 8 | no | — |
| 516 | #443 | — | 2 | 8 | no | — |
| 517 | #443 | — | 4 | 4 | no | — |
| 518 | #443 | — | 4 | 4 | no | — |
| 519 | C4×D8 | — | 16 | 4 | no | — |
| 520 | C2×#108 | — | 2 | 4 | no | — |
| 521 | C2×#104 | — | 4 | 4 | no | — |
| 522 | #413 | — | 16 | 2 | no | — |
| 523 | C2×#100 | — | 16 | 2 | no | — |
| 524 | C2×C4×C8 | — | 2 | 1 | no | — |
| 525 | C2×C4×C8 | D42 | 1 | 1 | yes | characteristic |
| 526 | Q64 | — | 8 | 8 | no | — |
| 527 | Q64 | C2×D16 | 1 | 8 | yes | complemented |
| 528 | SD64 | — | 8 | 16 | no | — |
| 529 | SD64 | — | 8 | 8 | no | — |
| 530 | SD64 | — | 8 | 8 | no | — |
| 531 | SD64 | — | 8 | 16 | no | — |
| 532 | SD64 | — | 16 | 8 | no | — |
| 533 | SD64 | — | 16 | 16 | no | — |
| 534 | SD64 | C2×D16 | 1 | 16 | yes | complemented |
| 535 | D32 | — | 8 | 8 | no | — |
| 536 | D32 | — | 8 | 16 | no | — |
| 537 | D32 | — | 8 | 16 | no | — |
| 538 | D32 | — | 16 | 8 | no | — |
| 539 | D32 | — | 16 | 16 | no | — |
| 540 | D32 | C2×D16 | 1 | 8 | yes | complemented |
| 541 | M64 | — | 2 | 8 | no | — |
| 542 | M64 | — | 2 | 4 | no | — |
| 543 | M64 | — | 4 | 8 | no | — |
| 544 | M64 | — | 8 | 4 | no | — |
| 545 | M64 | — | 8 | 16 | no | — |
| 546 | M64 | C2×D16 | 1 | 8 | yes | — |
| 547 | C2×C32 | — | 2 | 4 | no | — |
| 548 | C2×C32 | — | 8 | 4 | no | — |
| 549 | C2×C32 | — | 8 | 16 | no | — |
| 550 | C2×C32 | C22×D8 | 1 | 4 | yes | — |
| 551 | C2×C32 | C22×D8 | 1 | 4 | yes | — |
| 552 | #368 | — | 2 | 4 | no | — |
| 553 | #368 | C22×D8 | 1 | 8 | yes | — |
| 554 | #366 | — | 16 | 4 | no | — |
| 555 | #364 | — | 2 | 8 | no | — |
| 556 | #364 | — | 4 | 4 | no | — |
| 557 | #362 | — | 8 | 8 | no | — |
| 558 | #361 | — | 8 | 16 | no | — |
| 559 | #361 | — | 8 | 8 | no | — |
| 560 | #359 | — | 2 | 8 | no | — |
| 561 | #359 | — | 2 | 8 | no | — |
| 562 | #357 | — | 16 | 8 | no | — |
| 563 | #350 | — | 4 | 8 | no | — |
| 564 | #350 | — | 4 | 8 | no | — |
| 565 | C4×C16 | — | 2 | 2 | no | — |
| 566 | C4×C16 | — | 2 | 2 | no | — |
| 567 | C4×C16 | — | 2 | 4 | no | — |
| 568 | C4×C16 | D42 | 1 | 2 | yes | — |
| 569 | C4×C16 | C22×D8 | 1 | 2 | yes | — |
| 570 | C4×C16 | #576 | 1 | 2 | yes | — |
| 571 | C4×C16 | C23×D4 | 1 | 2 | yes | — |
| 572 | C82 | — | 2 | 1 | no | — |
| 573 | C82 | D42 | 1 | 1 | yes | characteristic |
| 574 | C82 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 575 | 2−1+4 | — | 16 | 4 | no | — |
| 576 | 2−1+4 | — | 32 | 4 | no | — |
| 577 | H(5,𝔽2) | — | 16 | 8 | no | — |
| 578 | H(5,𝔽2) | — | 16 | 4 | no | — |
| 579 | H(5,𝔽2) | — | 32 | 4 | no | — |
| 580 | H(5,𝔽2) | — | 32 | 8 | no | — |
| 581 | H(5,𝔽2) | — | 64 | 2 | no | — |
| 582 | H(5,𝔽2) | — | 64 | 2 | no | — |
| 583 | C2×#41 | — | 4 | 4 | no | — |
| 584 | C2×#41 | — | 16 | 2 | no | — |
| 585 | C2×#41 | — | 32 | 4 | no | — |
| 586 | C2×#41 | — | 32 | 8 | no | — |
| 587 | C2×#41 | — | 64 | 2 | no | — |
| 588 | C22×D4 | — | 16 | 2 | no | — |
| 589 | C22×D4 | — | 32 | 2 | no | — |
| 590 | C22×D4 | — | 32 | 4 | no | — |
| 591 | C22×D4 | — | 64 | 2 | no | — |
| 592 | #137 | — | 16 | 8 | no | — |
| 593 | #137 | — | 32 | 8 | no | — |
| 594 | #137 | — | 32 | 8 | no | — |
| 595 | #137 | — | 32 | 4 | no | — |
| 596 | AGL(1,ℤ/8) | — | 16 | 16 | no | — |
| 597 | AGL(1,ℤ/8) | — | 16 | 8 | no | — |
| 598 | AGL(1,ℤ/8) | — | 32 | 8 | no | — |
| 599 | AGL(1,ℤ/8) | — | 32 | 16 | no | — |
| 600 | AGL(1,ℤ/8) | — | 32 | 8 | no | — |
| 601 | AGL(1,ℤ/8) | — | 32 | 16 | no | — |
| 602 | AGL(1,ℤ/8) | — | 32 | 4 | no | — |
| 603 | AGL(1,ℤ/8) | — | 32 | 8 | no | — |
| 604 | #135 | — | 2 | 8 | no | — |
| 605 | #135 | — | 2 | 8 | no | — |
| 606 | #135 | — | 4 | 4 | no | — |
| 607 | #135 | — | 4 | 4 | no | — |
| 608 | #135 | — | 16 | 8 | no | — |
| 609 | #135 | — | 16 | 16 | no | — |
| 610 | #135 | — | 16 | 8 | no | — |
| 611 | #135 | — | 16 | 4 | no | — |
| 612 | #135 | — | 16 | 4 | no | — |
| 613 | #135 | — | 16 | 4 | no | — |
| 614 | #135 | — | 16 | 4 | no | — |
| 615 | #135 | — | 32 | 8 | no | — |
| 616 | #135 | — | 32 | 8 | no | — |
| 617 | #135 | — | 32 | 8 | no | — |
| 618 | C2×Q16 | — | 2 | 4 | no | — |
| 619 | C2×Q16 | — | 8 | 4 | no | — |
| 620 | C2×Q16 | — | 16 | 8 | no | — |
| 621 | C2×SD16 | — | 4 | 4 | no | — |
| 622 | C2×SD16 | — | 16 | 4 | no | — |
| 623 | C2×SD16 | — | 32 | 8 | no | — |
| 624 | C2×SD16 | — | 32 | 4 | no | — |
| 625 | C2×D8 | — | 2 | 4 | no | — |
| 626 | C2×D8 | — | 8 | 8 | no | — |
| 627 | C2×D8 | — | 8 | 4 | no | — |
| 628 | C2×D8 | — | 16 | 8 | no | — |
| 629 | C2×D8 | — | 16 | 4 | no | — |
| 630 | C2×D8 | — | 16 | 16 | no | — |
| 631 | C2×D8 | — | 16 | 8 | no | — |
| 632 | C2×D8 | — | 16 | 4 | no | — |
| 633 | C2×D8 | — | 16 | 4 | no | — |
| 634 | C2×D8 | — | 16 | 4 | no | — |
| 635 | C2×D8 | — | 16 | 4 | no | — |
| 636 | C2×D8 | — | 16 | 4 | no | — |
| 637 | C2×D8 | — | 32 | 4 | no | — |
| 638 | C2×D8 | — | 32 | 16 | no | — |
| 639 | C2×D8 | — | 32 | 8 | no | — |
| 640 | C2×D8 | — | 32 | 4 | no | — |
| 641 | #131 | — | 4 | 8 | no | — |
| 642 | #131 | — | 4 | 8 | no | — |
| 643 | #131 | — | 8 | 4 | no | — |
| 644 | #131 | — | 8 | 4 | no | — |
| 645 | C2×M16 | — | 4 | 4 | no | — |
| 646 | C2×M16 | — | 8 | 4 | no | — |
| 647 | C22×C8 | — | 2 | 2 | no | — |
| 648 | C22×C8 | — | 8 | 4 | no | — |
| 649 | C22×C8 | D4×D8 | 1 | 2 | yes | — |
| 650 | C4⋊Q8 | — | 8 | 2 | no | — |
| 651 | #127 | — | 8 | 4 | no | — |
| 652 | #127 | — | 8 | 2 | no | — |
| 653 | #127 | — | 16 | 2 | no | — |
| 654 | #127 | — | 32 | 2 | no | — |
| 655 | #124 | — | 16 | 2 | no | — |
| 656 | #121 | — | 32 | 2 | no | — |
| 657 | C4×D4 | — | 32 | 2 | no | — |
| 658 | C2×C42 | #3292 | 1 | 1 | yes | characteristic |
| 659 | Q32 | — | 2 | 4 | no | — |
| 660 | Q32 | — | 8 | 4 | no | — |
| 661 | Q32 | — | 8 | 4 | no | — |
| 662 | Q32 | — | 16 | 4 | no | — |
| 663 | Q32 | — | 16 | 8 | no | — |
| 664 | Q32 | C22×D16 | 1 | 8 | yes | — |
| 665 | SD32 | — | 2 | 8 | no | — |
| 666 | SD32 | — | 2 | 8 | no | — |
| 667 | SD32 | — | 16 | 8 | no | — |
| 668 | SD32 | — | 16 | 16 | no | — |
| 669 | SD32 | — | 16 | 8 | no | — |
| 670 | SD32 | — | 16 | 4 | no | — |
| 671 | SD32 | — | 16 | 4 | no | — |
| 672 | SD32 | — | 32 | 4 | no | — |
| 673 | D16 | — | 2 | 4 | no | — |
| 674 | D16 | — | 8 | 4 | no | — |
| 675 | D16 | — | 8 | 8 | no | — |
| 676 | D16 | — | 8 | 4 | no | — |
| 677 | D16 | — | 8 | 8 | no | — |
| 678 | D16 | — | 16 | 4 | no | — |
| 679 | D16 | — | 16 | 8 | no | — |
| 680 | D16 | — | 16 | 16 | no | — |
| 681 | D16 | — | 16 | 8 | no | — |
| 682 | D16 | — | 16 | 4 | no | — |
| 683 | D16 | — | 16 | 4 | no | — |
| 684 | D16 | — | 32 | 4 | no | — |
| 685 | D16 | — | 32 | 8 | no | — |
| 686 | D16 | — | 32 | 16 | no | — |
| 687 | D16 | — | 32 | 16 | no | — |
| 688 | D16 | C22×D16 | 1 | 8 | yes | — |
| 689 | M32 | — | 4 | 8 | no | — |
| 690 | M32 | — | 8 | 4 | no | — |
| 691 | M32 | — | 8 | 8 | no | — |
| 692 | M32 | — | 8 | 8 | no | — |
| 693 | C2×C16 | — | 2 | 4 | no | — |
| 694 | C2×C16 | — | 2 | 4 | no | — |
| 695 | C2×C16 | — | 2 | 4 | no | — |
| 696 | C2×C16 | — | 4 | 8 | no | — |
| 697 | C2×C16 | — | 8 | 4 | no | — |
| 698 | C2×C16 | — | 8 | 8 | no | — |
| 699 | C2×C16 | — | 8 | 8 | no | — |
| 700 | C2×C16 | D4×D8 | 1 | 2 | yes | — |
| 701 | C2×C16 | D4×D8 | 1 | 2 | yes | — |
| 702 | C2×C16 | C22×D16 | 1 | 4 | yes | — |
| 703 | C2×C16 | #3415 | 1 | 4 | yes | — |
| 704 | C2×C16 | C23×D8 | 1 | 2 | yes | — |
| 705 | C2×C16 | C2×#576 | 1 | 2 | yes | — |
| 706 | #108 | — | 2 | 8 | no | — |
| 707 | #108 | — | 4 | 4 | no | — |
| 708 | #107 | — | 16 | 4 | no | — |
| 709 | #104 | — | 4 | 8 | no | — |
| 710 | #104 | — | 4 | 8 | no | — |
| 711 | #102 | — | 32 | 4 | no | — |
| 712 | #101 | — | 16 | 4 | no | — |
| 713 | #100 | — | 16 | 8 | no | — |
| 714 | #100 | — | 16 | 4 | no | — |
| 715 | C4×C8 | — | 2 | 2 | no | — |
| 716 | C4×C8 | — | 2 | 1 | no | — |
| 717 | C4×C8 | — | 2 | 1 | no | — |
| 718 | C4×C8 | D4×D8 | 1 | 2 | yes | — |
| 719 | C4×C8 | #3292 | 1 | 1 | yes | characteristic |
| 720 | C4×C8 | C2×D42 | 1 | 1 | yes | characteristic |
| 721 | C32 | — | 2 | 8 | no | — |
| 722 | C32 | — | 2 | 4 | no | — |
| 723 | C32 | — | 8 | 8 | no | — |
| 724 | C32 | C22×D16 | 1 | 8 | yes | — |
| 725 | C24 | — | 32 | 2 | no | — |
| 726 | C24 | — | 64 | 2 | no | — |
| 727 | #41 | — | 4 | 8 | no | — |
| 728 | #41 | — | 4 | 8 | no | — |
| 729 | #41 | — | 8 | 4 | no | — |
| 730 | #41 | — | 8 | 4 | no | — |
| 731 | #41 | — | 32 | 8 | no | — |
| 732 | #41 | — | 32 | 16 | no | — |
| 733 | #41 | — | 32 | 8 | no | — |
| 734 | #41 | — | 32 | 4 | no | — |
| 735 | #41 | — | 32 | 4 | no | — |
| 736 | #41 | — | 64 | 4 | no | — |
| 737 | #41 | — | 64 | 8 | no | — |
| 738 | #41 | — | 64 | 8 | no | — |
| 739 | #41 | — | 64 | 4 | no | — |
| 740 | #41 | — | 64 | 4 | no | — |
| 741 | C2×Q8 | — | 4 | 4 | no | — |
| 742 | C2×Q8 | — | 16 | 2 | no | — |
| 743 | C2×Q8 | — | 32 | 8 | no | — |
| 744 | C2×Q8 | — | 64 | 2 | no | — |
| 745 | C2×D4 | — | 4 | 4 | no | — |
| 746 | C2×D4 | — | 8 | 4 | no | — |
| 747 | C2×D4 | — | 16 | 2 | no | — |
| 748 | C2×D4 | — | 16 | 4 | no | — |
| 749 | C2×D4 | — | 32 | 2 | no | — |
| 750 | C2×D4 | — | 32 | 4 | no | — |
| 751 | C2×D4 | — | 32 | 16 | no | — |
| 752 | C2×D4 | — | 32 | 8 | no | — |
| 753 | C2×D4 | — | 32 | 2 | no | — |
| 754 | C2×D4 | — | 32 | 4 | no | — |
| 755 | C2×D4 | — | 32 | 4 | no | — |
| 756 | C2×D4 | — | 32 | 2 | no | — |
| 757 | C2×D4 | — | 64 | 2 | no | — |
| 758 | C2×D4 | — | 64 | 8 | no | — |
| 759 | C2×D4 | — | 64 | 8 | no | — |
| 760 | C2×D4 | — | 64 | 4 | no | — |
| 761 | C2×D4 | — | 64 | 8 | no | — |
| 762 | C2×D4 | — | 64 | 4 | no | — |
| 763 | C2×D4 | — | 64 | 8 | no | — |
| 764 | C2×D4 | — | 64 | 2 | no | — |
| 765 | C2×D4 | — | 64 | 8 | no | — |
| 766 | C22×C4 | — | 2 | 1 | no | — |
| 767 | C22×C4 | — | 8 | 4 | no | — |
| 768 | C22×C4 | — | 32 | 2 | no | — |
| 769 | C22×C4 | — | 64 | 2 | no | — |
| 770 | C22×C4 | — | 64 | 4 | no | — |
| 771 | C22×C4 | D82 | 1 | 1 | yes | characteristic |
| 772 | Q16 | — | 2 | 8 | no | — |
| 773 | Q16 | — | 4 | 4 | no | — |
| 774 | Q16 | — | 16 | 4 | no | — |
| 775 | Q16 | — | 16 | 4 | no | — |
| 776 | Q16 | — | 32 | 8 | no | — |
| 777 | SD16 | — | 4 | 8 | no | — |
| 778 | SD16 | — | 4 | 8 | no | — |
| 779 | SD16 | — | 32 | 8 | no | — |
| 780 | SD16 | — | 32 | 16 | no | — |
| 781 | SD16 | — | 32 | 8 | no | — |
| 782 | SD16 | — | 32 | 4 | no | — |
| 783 | SD16 | — | 32 | 4 | no | — |
| 784 | D8 | — | 2 | 8 | no | — |
| 785 | D8 | — | 4 | 4 | no | — |
| 786 | D8 | — | 16 | 8 | no | — |
| 787 | D8 | — | 16 | 4 | no | — |
| 788 | D8 | — | 16 | 8 | no | — |
| 789 | D8 | — | 16 | 4 | no | — |
| 790 | D8 | — | 32 | 16 | no | — |
| 791 | D8 | — | 32 | 8 | no | — |
| 792 | D8 | — | 32 | 16 | no | — |
| 793 | D8 | — | 32 | 8 | no | — |
| 794 | D8 | — | 32 | 4 | no | — |
| 795 | D8 | — | 32 | 4 | no | — |
| 796 | D8 | — | 64 | 8 | no | — |
| 797 | M16 | — | 4 | 8 | no | — |
| 798 | M16 | — | 8 | 4 | no | — |
| 799 | M16 | — | 8 | 8 | no | — |
| 800 | M16 | — | 8 | 8 | no | — |
| 801 | C2×C8 | — | 2 | 2 | no | — |
| 802 | C2×C8 | — | 2 | 2 | no | — |
| 803 | C2×C8 | — | 4 | 4 | no | — |
| 804 | C2×C8 | — | 8 | 4 | no | — |
| 805 | C2×C8 | — | 8 | 8 | no | — |
| 806 | C2×C8 | — | 8 | 8 | no | — |
| 807 | C2×C8 | D82 | 1 | 2 | yes | — |
| 808 | C2×C8 | D4×D16 | 1 | 4 | yes | — |
| 809 | C2×C8 | #33858 | 1 | 4 | yes | — |
| 810 | C2×C8 | C2×D4×D8 | 1 | 2 | yes | — |
| 811 | C4⋊C4 | — | 32 | 2 | no | — |
| 812 | C22⋊C4 | — | 64 | 2 | no | — |
| 813 | C42 | — | 2 | 1 | no | — |
| 814 | C42 | D82 | 1 | 1 | yes | characteristic |
| 815 | C42 | C2×#3292 | 1 | 1 | yes | characteristic |
| 816 | C16 | — | 2 | 8 | no | — |
| 817 | C16 | — | 2 | 2 | no | — |
| 818 | C16 | — | 2 | 2 | no | — |
| 819 | C16 | — | 4 | 4 | no | — |
| 820 | C16 | — | 8 | 8 | no | — |
| 821 | C16 | D4×D16 | 1 | 4 | yes | — |
| 822 | C16 | C23×D16 | 1 | 2 | yes | — |
| 823 | C16 | C2×#3415 | 1 | 2 | yes | — |
| 824 | C23 | — | 256 | 4 | no | — |
| 825 | C23 | — | 8 | 4 | no | — |
| 826 | C23 | — | 32 | 2 | no | — |
| 827 | C23 | — | 32 | 4 | no | — |
| 828 | C23 | — | 64 | 4 | no | — |
| 829 | C23 | — | 64 | 8 | no | — |
| 830 | C23 | — | 64 | 2 | no | — |
| 831 | C23 | — | 64 | 2 | no | — |
| 832 | C23 | — | 128 | 4 | no | — |
| 833 | C23 | #492532 | 1 | 1 | yes | characteristic |
| 834 | Q8 | — | 4 | 8 | no | — |
| 835 | Q8 | — | 8 | 4 | no | — |
| 836 | Q8 | — | 32 | 4 | no | — |
| 837 | Q8 | — | 64 | 4 | no | — |
| 838 | D4 | — | 4 | 8 | no | — |
| 839 | D4 | — | 8 | 8 | no | — |
| 840 | D4 | — | 8 | 8 | no | — |
| 841 | D4 | — | 8 | 4 | no | — |
| 842 | D4 | — | 32 | 8 | no | — |
| 843 | D4 | — | 32 | 4 | no | — |
| 844 | D4 | — | 64 | 8 | no | — |
| 845 | D4 | — | 64 | 4 | no | — |
| 846 | D4 | — | 64 | 16 | no | — |
| 847 | D4 | — | 64 | 8 | no | — |
| 848 | D4 | — | 64 | 4 | no | — |
| 849 | D4 | — | 64 | 4 | no | — |
| 850 | D4 | — | 64 | 4 | no | — |
| 851 | D4 | — | 128 | 4 | no | — |
| 852 | C2×C4 | — | 2 | 1 | no | — |
| 853 | C2×C4 | — | 2 | 1 | no | — |
| 854 | C2×C4 | — | 4 | 2 | no | — |
| 855 | C2×C4 | — | 8 | 4 | no | — |
| 856 | C2×C4 | — | 8 | 8 | no | — |
| 857 | C2×C4 | — | 8 | 8 | no | — |
| 858 | C2×C4 | — | 32 | 2 | no | — |
| 859 | C2×C4 | — | 64 | 8 | no | — |
| 860 | C2×C4 | — | 64 | 4 | no | — |
| 861 | C2×C4 | — | 64 | 8 | no | — |
| 862 | C2×C4 | — | 64 | 2 | no | — |
| 863 | C2×C4 | — | 64 | 2 | no | — |
| 864 | C2×C4 | D8×D16 | 1 | 4 | yes | — |
| 865 | C2×C4 | #492532 | 1 | 1 | yes | characteristic |
| 866 | C2×C4 | C2×D82 | 1 | 1 | yes | characteristic |
| 867 | C8 | — | 2 | 4 | no | — |
| 868 | C8 | — | 4 | 2 | no | — |
| 869 | C8 | — | 8 | 8 | no | — |
| 870 | C8 | D8×D16 | 1 | 4 | yes | — |
| 871 | C8 | C2×D4×D16 | 1 | 2 | yes | — |
| 872 | C8 | C2×#33858 | 1 | 2 | yes | — |
| 873 | C22 | — | 256 | 2 | no | — |
| 874 | C22 | — | 256 | 8 | no | — |
| 875 | C22 | — | 256 | 4 | no | — |
| 876 | C22 | — | 4 | 1 | no | — |
| 877 | C22 | — | 8 | 8 | no | — |
| 878 | C22 | — | 32 | 4 | no | — |
| 879 | C22 | — | 64 | 2 | no | — |
| 880 | C22 | — | 64 | 4 | no | — |
| 881 | C22 | — | 128 | 4 | no | — |
| 882 | C22 | — | 128 | 2 | no | — |
| 883 | C22 | — | 128 | 4 | no | — |
| 884 | C22 | C2×#492532 | 1 | 1 | yes | characteristic |
| 885 | C22 | D162 | 1 | 2 | yes | — |
| 886 | C4 | — | 2 | 2 | no | — |
| 887 | C4 | — | 4 | 1 | no | — |
| 888 | C4 | — | 8 | 8 | no | — |
| 889 | C4 | — | 64 | 2 | no | — |
| 890 | C4 | C2×D8×D16 | 1 | 2 | yes | — |
| 891 | C4 | D162 | 1 | 2 | yes | — |
| 892 | C2 | — | 2 | 1 | no | — |
| 893 | C2 | — | 2 | 2 | no | — |
| 894 | C2 | — | 16 | 8 | no | — |
| 895 | C2 | — | 128 | 4 | no | — |
| 896 | C2 | — | 128 | 2 | no | — |
| 897 | C2 | C2×D162 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | C2×D162 |
| commutator, Frattini, cosocle | C8×C16 | C25 |
| LCS | G ▷ C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C2×C4×C8 ◁ C2×C8×C16 ◁ G | |
| LECS | G ▷ C8×C16 ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72225591 | C2 | semidirect |
| 2. #72225590 | C2 | semidirect |
| 3. #72225589 | C2 | semidirect |
| 4. #72225587 | C2 | semidirect |
| 5. #72225586 | C22 | semidirect |
| 6. #72225585 | C22 | semidirect |
| 7. #72225584 | C22 | semidirect |
| 8. #72225583 | C2 | semidirect |
| 9. #72225581 | C22 | semidirect |
| 10. #72225580 | C22 | semidirect |
| 11. #72225579 | C22 | semidirect |
| 12. #72225576 | C2 | semidirect |
| 17. #72225563 | C22 | semidirect |
| 18. #72225561 | C22 | semidirect |
| 20. #72225394 | C22 | semidirect |
| 21. #72225360 | C2 | semidirect |
| 22. #72225356 | C22 | semidirect |
| 23. #72225355 | C22 | semidirect |
| 24. #72225353 | C22 | semidirect |
| 25. #72225352 | C22 | semidirect |
| 26. #72225339 | C22 | semidirect |
| 28. C2×#72214187 | C2 | semidirect |
| 29. C2×#93866 | C22 | semidirect |
| 30. C2×#93751 | C22 | semidirect |
| 31. C2×#492532 | C22 | semidirect |
| 32. #72216368 | C2 | semidirect |
| 33. #72216364 | C22 | semidirect |
| 34. #72216358 | C22 | semidirect |
| 35. #72216275 | C22 | semidirect |
| 36. #72216263 | C22 | semidirect |
| 37. C2×#151634 | C22 | semidirect |
| 38. #72216236 | C22 | semidirect |
| 39. C16×M64 | C22 | semidirect |
| 40. C2×#123403 | C22 | semidirect |
| 41. #72214187 | C22 | semidirect |
| 42. #72214187 | C22 | semidirect |
| 43. #72214187 | C22 | semidirect |
| 63. #492532 | C23 | semidirect |
| 76. #151726 | C23 | semidirect |
| 77. #151724 | C23 | semidirect |
| 81. #151635 | C23 | semidirect |
| 84. #151634 | C23 | semidirect |
| 92. #151072 | C23 | semidirect |
| 100. #123406 | C23 | semidirect |
| 102. #123404 | C23 | semidirect |
| 106. #123403 | C23 | semidirect |
| 108. #93882 | C23 | semidirect |
| 109. #93867 | C23 | semidirect |
| 110. #93866 | C23 | semidirect |
| 111. #93866 | C23 | semidirect |
| 112. #93751 | C23 | semidirect |
| 113. #93751 | C23 | semidirect |
| 114. #93664 | C23 | semidirect |
| 115. C16×C32 | C23 | semidirect |
| 278. #2264 | D16 | semidirect |
| 292. #2263 | D16 | semidirect |
| 527. Q64 | C2×D16 | semidirect |
| 534. SD64 | C2×D16 | semidirect |
| 540. D32 | C2×D16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72225591 | 2 |
| #72225590 | 2 |
| #72225589 | 2 |
| #72225587 | 2 |
| #72225583 | 2 |
| #72225576 | 2 |
| #72225360 | 2 |
| C2×#72214187 | 2 |
| #72216368 | 2 |