Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
993 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 993 conjugacy classes of subgroups — too many to draw. Only its 73 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #6368904 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #153538 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #153469 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #153459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #152619 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #152616 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #139425 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #62610 | — | 2 | 1 | no | — |
| 9 | #62346 | — | 2 | 1 | no | — |
| 10 | #23361 | C22 | 1 | 1 | yes | characteristic |
| 11 | #20294 | C4 | 1 | 1 | yes | characteristic, complemented |
| 12 | #20244 | — | 2 | 1 | no | — |
| 13 | #20159 | — | 2 | 1 | no | — |
| 14 | #20157 | C4 | 1 | 1 | yes | characteristic, complemented |
| 15 | #20131 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #20059 | — | 2 | 1 | no | — |
| 17 | #19987 | C4 | 1 | 1 | yes | characteristic, complemented |
| 18 | #19911 | — | 2 | 1 | no | — |
| 19 | #19789 | — | 2 | 1 | no | — |
| 20 | #19784 | — | 2 | 1 | no | — |
| 21 | #19749 | C22 | 1 | 1 | yes | characteristic |
| 22 | #19253 | — | 2 | 1 | no | — |
| 23 | #19234 | — | 2 | 1 | no | — |
| 24 | #18741 | — | 2 | 1 | no | — |
| 25 | #18714 | C22 | 1 | 1 | yes | characteristic |
| 26 | #18712 | C22 | 1 | 1 | yes | characteristic |
| 27 | #18076 | — | 2 | 1 | no | — |
| 28 | #13585 | C22 | 1 | 1 | yes | characteristic |
| 29 | #13584 | C22 | 1 | 1 | yes | characteristic |
| 30 | #12778 | — | 2 | 1 | no | — |
| 31 | #12767 | — | 2 | 1 | no | — |
| 32 | #11992 | C22 | 1 | 1 | yes | characteristic |
| 33 | #11838 | — | 2 | 1 | no | — |
| 34 | #7533 | — | 2 | 1 | no | — |
| 35 | #7530 | — | 2 | 1 | no | — |
| 36 | #7519 | — | 2 | 1 | no | — |
| 37 | #7519 | — | 2 | 1 | no | — |
| 38 | #7516 | — | 2 | 1 | no | — |
| 39 | #7515 | — | 2 | 1 | no | — |
| 40 | #7490 | — | 2 | 1 | no | — |
| 41 | #7485 | — | 2 | 1 | no | — |
| 42 | #7225 | — | 2 | 1 | no | — |
| 43 | #3549 | D4 | 1 | 1 | yes | characteristic |
| 44 | #3547 | — | 2 | 1 | no | — |
| 45 | #3543 | D4 | 1 | 1 | yes | characteristic |
| 46 | #3373 | — | 2 | 1 | no | — |
| 47 | #3366 | — | 2 | 1 | no | — |
| 48 | #3361 | — | 2 | 1 | no | — |
| 49 | #3358 | — | 2 | 1 | no | — |
| 50 | #3357 | — | 2 | 1 | no | — |
| 51 | #3348 | — | 4 | 1 | no | — |
| 52 | #3341 | — | 2 | 1 | no | — |
| 53 | #3332 | — | 2 | 1 | no | — |
| 54 | #3329 | — | 2 | 1 | no | — |
| 55 | #3325 | — | 2 | 1 | no | — |
| 56 | #3325 | — | 2 | 1 | no | — |
| 57 | #3325 | — | 4 | 1 | no | — |
| 58 | #3322 | — | 4 | 1 | no | — |
| 59 | #3321 | — | 4 | 1 | no | — |
| 60 | #3319 | — | 4 | 1 | no | — |
| 61 | #3318 | — | 4 | 1 | no | — |
| 62 | #3310 | — | 4 | 1 | no | — |
| 63 | #3305 | — | 2 | 1 | no | — |
| 64 | #3303 | — | 2 | 1 | no | — |
| 65 | #3295 | — | 2 | 1 | no | — |
| 66 | #3294 | — | 2 | 1 | no | — |
| 67 | D4×SD16 | — | 2 | 1 | no | — |
| 68 | #3272 | — | 2 | 1 | no | — |
| 69 | #3265 | — | 4 | 1 | no | — |
| 70 | #3247 | — | 2 | 1 | no | — |
| 71 | #3246 | — | 2 | 1 | no | — |
| 72 | #3241 | — | 4 | 1 | no | — |
| 73 | #3233 | — | 2 | 1 | no | — |
| 74 | #3220 | — | 4 | 1 | no | — |
| 75 | #3205 | — | 2 | 1 | no | — |
| 76 | #3200 | — | 4 | 1 | no | — |
| 77 | #3198 | — | 4 | 1 | no | — |
| 78 | #3185 | D4 | 1 | 1 | yes | characteristic |
| 79 | #3182 | — | 2 | 1 | no | — |
| 80 | #3176 | — | 4 | 1 | no | — |
| 81 | #3171 | — | 2 | 1 | no | — |
| 82 | #3151 | C23 | 1 | 1 | yes | characteristic |
| 83 | #3138 | — | 2 | 1 | no | — |
| 84 | #3136 | — | 4 | 1 | no | — |
| 85 | #3062 | — | 4 | 1 | no | — |
| 86 | #3057 | — | 4 | 1 | no | — |
| 87 | #2969 | — | 2 | 1 | no | — |
| 88 | #2935 | — | 2 | 1 | no | — |
| 89 | #2165 | — | 2 | 1 | no | — |
| 90 | #2128 | — | 4 | 1 | no | — |
| 91 | #2126 | — | 2 | 1 | no | — |
| 92 | C2×#353 | — | 2 | 1 | no | — |
| 93 | #2121 | — | 4 | 1 | no | — |
| 94 | #1913 | — | 4 | 1 | no | — |
| 95 | #1910 | — | 4 | 1 | no | — |
| 96 | #1904 | — | 4 | 1 | no | — |
| 97 | #1903 | — | 4 | 1 | no | — |
| 98 | #1887 | — | 2 | 1 | no | — |
| 99 | #1884 | — | 2 | 1 | no | — |
| 100 | #1841 | — | 2 | 1 | no | — |
| 101 | #1722 | C2×C4 | 1 | 1 | yes | characteristic |
| 102 | #1719 | — | 2 | 1 | no | — |
| 103 | #1717 | — | 2 | 1 | no | — |
| 104 | #1715 | D4 | 1 | 1 | yes | characteristic |
| 105 | #1709 | D4 | 1 | 1 | yes | characteristic |
| 106 | #1708 | C2×C4 | 1 | 1 | yes | characteristic |
| 107 | #1704 | — | 2 | 1 | no | — |
| 108 | #1701 | — | 2 | 1 | no | — |
| 109 | #1701 | — | 2 | 1 | no | — |
| 110 | #1698 | — | 2 | 1 | no | — |
| 111 | #1697 | — | 2 | 1 | no | — |
| 112 | #1697 | — | 2 | 1 | no | — |
| 113 | #1695 | — | 2 | 1 | no | — |
| 114 | #1685 | — | 2 | 1 | no | — |
| 115 | #1683 | — | 2 | 1 | no | — |
| 116 | #1681 | — | 2 | 1 | no | — |
| 117 | #1681 | — | 2 | 1 | no | — |
| 118 | #1677 | — | 2 | 1 | no | — |
| 119 | #1677 | — | 2 | 1 | no | — |
| 120 | #1677 | — | 2 | 1 | no | — |
| 121 | #1676 | — | 2 | 1 | no | — |
| 122 | #1666 | — | 2 | 1 | no | — |
| 123 | #1654 | — | 2 | 1 | no | — |
| 124 | #1651 | — | 2 | 1 | no | — |
| 125 | #1646 | — | 2 | 1 | no | — |
| 126 | #1643 | — | 2 | 1 | no | — |
| 127 | #1637 | — | 2 | 1 | no | — |
| 128 | #1635 | — | 2 | 1 | no | — |
| 129 | #1634 | — | 2 | 1 | no | — |
| 130 | #1632 | — | 2 | 1 | no | — |
| 131 | #1631 | — | 2 | 1 | no | — |
| 132 | #1630 | C2×C4 | 1 | 1 | yes | characteristic |
| 133 | #1629 | C2×C4 | 1 | 1 | yes | characteristic |
| 134 | #1624 | C2×C4 | 1 | 1 | yes | characteristic |
| 135 | #1624 | C2×C4 | 1 | 1 | yes | characteristic |
| 136 | #1624 | D4 | 1 | 1 | yes | characteristic |
| 137 | #1624 | D4 | 1 | 1 | yes | characteristic |
| 138 | #1621 | — | 2 | 1 | no | — |
| 139 | #1620 | D4 | 1 | 1 | yes | characteristic |
| 140 | #1619 | — | 2 | 1 | no | — |
| 141 | #1619 | — | 2 | 1 | no | — |
| 142 | #1619 | D4 | 1 | 1 | yes | characteristic |
| 143 | #1594 | — | 2 | 1 | no | — |
| 144 | #1590 | — | 2 | 1 | no | — |
| 145 | #1588 | — | 2 | 1 | no | — |
| 146 | #1586 | — | 2 | 1 | no | — |
| 147 | #1582 | — | 2 | 1 | no | — |
| 148 | #1581 | — | 2 | 1 | no | — |
| 149 | SD16⋊C8 | — | 2 | 1 | no | — |
| 150 | C8×D8 | — | 2 | 1 | no | — |
| 151 | #1565 | — | 2 | 1 | no | — |
| 152 | #1543 | D4 | 1 | 1 | yes | characteristic |
| 153 | #1542 | — | 2 | 1 | no | — |
| 154 | C2×#331 | D4 | 1 | 1 | yes | characteristic |
| 155 | #1484 | — | 2 | 1 | no | — |
| 156 | #1483 | — | 2 | 1 | no | — |
| 157 | #1455 | D4 | 1 | 1 | yes | characteristic |
| 158 | #1409 | — | 2 | 1 | no | — |
| 159 | #1408 | — | 2 | 1 | no | — |
| 160 | #1408 | — | 2 | 1 | no | — |
| 161 | #1408 | — | 2 | 1 | no | — |
| 162 | #1359 | — | 2 | 1 | no | — |
| 163 | #1357 | — | 2 | 1 | no | — |
| 164 | #1342 | — | 4 | 1 | no | — |
| 165 | #1340 | — | 4 | 1 | no | — |
| 166 | C2×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 167 | C2×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 168 | C22×SD16 | — | 4 | 1 | no | — |
| 169 | #568 | — | 2 | 1 | no | — |
| 170 | C2×#131 | — | 4 | 1 | no | — |
| 171 | #562 | — | 8 | 1 | no | — |
| 172 | H(3,𝔽4) | — | 4 | 1 | no | — |
| 173 | #560 | — | 4 | 1 | no | — |
| 174 | #559 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 175 | #555 | — | 2 | 1 | no | — |
| 176 | #555 | — | 4 | 1 | no | — |
| 177 | #555 | — | 4 | 1 | no | — |
| 178 | #555 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 179 | #555 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 180 | #554 | — | 2 | 1 | no | — |
| 181 | #553 | — | 4 | 1 | no | — |
| 182 | #552 | — | 4 | 1 | no | — |
| 183 | #550 | — | 2 | 1 | no | — |
| 184 | D4×Q8 | — | 2 | 1 | no | — |
| 185 | #548 | — | 4 | 1 | no | — |
| 186 | #547 | — | 2 | 1 | no | — |
| 187 | #546 | — | 4 | 1 | no | — |
| 188 | D42 | — | 2 | 1 | no | — |
| 189 | D42 | — | 4 | 1 | no | — |
| 190 | D42 | — | 4 | 1 | no | — |
| 191 | D42 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 192 | #544 | — | 4 | 1 | no | — |
| 193 | #542 | — | 8 | 1 | no | — |
| 194 | #540 | — | 4 | 1 | no | — |
| 195 | #540 | — | 4 | 1 | no | — |
| 196 | #537 | — | 4 | 1 | no | — |
| 197 | #536 | — | 4 | 1 | no | — |
| 198 | #535 | — | 4 | 1 | no | — |
| 199 | #535 | — | 4 | 1 | no | — |
| 200 | #535 | — | 4 | 1 | no | — |
| 201 | #535 | — | 4 | 1 | no | — |
| 202 | #534 | — | 4 | 1 | no | — |
| 203 | #533 | — | 2 | 1 | no | — |
| 204 | #532 | — | 2 | 1 | no | — |
| 205 | #532 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C2×#127 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | #529 | — | 2 | 1 | no | — |
| 208 | #518 | — | 2 | 1 | no | — |
| 209 | #501 | — | 2 | 1 | no | — |
| 210 | #500 | — | 2 | 1 | no | — |
| 211 | #499 | — | 4 | 1 | no | — |
| 212 | #498 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 213 | #496 | — | 2 | 1 | no | — |
| 214 | #496 | — | 4 | 1 | no | — |
| 215 | #494 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 216 | #493 | — | 4 | 1 | no | — |
| 217 | #493 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | #493 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | #492 | — | 2 | 1 | no | — |
| 220 | #492 | C22×C4 | 1 | 1 | yes | characteristic |
| 221 | #492 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | #490 | — | 2 | 1 | no | — |
| 223 | #490 | — | 4 | 1 | no | — |
| 224 | #490 | — | 4 | 1 | no | — |
| 225 | #490 | — | 4 | 1 | no | — |
| 226 | #489 | — | 2 | 1 | no | — |
| 227 | #489 | — | 4 | 1 | no | — |
| 228 | #488 | — | 4 | 1 | no | — |
| 229 | #488 | — | 4 | 1 | no | — |
| 230 | #487 | — | 2 | 1 | no | — |
| 231 | #487 | — | 2 | 1 | no | — |
| 232 | #486 | — | 2 | 1 | no | — |
| 233 | #486 | — | 2 | 1 | no | — |
| 234 | #486 | — | 2 | 1 | no | — |
| 235 | #486 | — | 2 | 1 | no | — |
| 236 | #486 | — | 2 | 1 | no | — |
| 237 | #486 | — | 4 | 1 | no | — |
| 238 | #486 | — | 4 | 1 | no | — |
| 239 | #485 | — | 4 | 1 | no | — |
| 240 | #485 | — | 4 | 1 | no | — |
| 241 | #485 | — | 4 | 1 | no | — |
| 242 | #485 | — | 4 | 1 | no | — |
| 243 | #482 | — | 4 | 1 | no | — |
| 244 | #482 | — | 4 | 1 | no | — |
| 245 | #482 | — | 4 | 1 | no | — |
| 246 | #482 | — | 4 | 1 | no | — |
| 247 | #482 | — | 4 | 1 | no | — |
| 248 | #482 | — | 4 | 1 | no | — |
| 249 | #481 | — | 4 | 1 | no | — |
| 250 | #481 | — | 4 | 1 | no | — |
| 251 | #480 | — | 4 | 1 | no | — |
| 252 | #480 | — | 4 | 1 | no | — |
| 253 | #478 | — | 4 | 1 | no | — |
| 254 | #478 | — | 4 | 1 | no | — |
| 255 | #478 | — | 4 | 1 | no | — |
| 256 | #477 | — | 2 | 1 | no | — |
| 257 | #477 | — | 2 | 1 | no | — |
| 258 | #476 | — | 2 | 1 | no | — |
| 259 | #476 | — | 2 | 1 | no | — |
| 260 | #476 | — | 2 | 1 | no | — |
| 261 | #476 | — | 2 | 1 | no | — |
| 262 | #476 | — | 4 | 1 | no | — |
| 263 | #475 | — | 2 | 1 | no | — |
| 264 | #475 | — | 4 | 1 | no | — |
| 265 | #474 | — | 2 | 1 | no | — |
| 266 | #474 | — | 4 | 1 | no | — |
| 267 | #470 | — | 4 | 1 | no | — |
| 268 | #469 | — | 2 | 1 | no | — |
| 269 | #469 | — | 2 | 1 | no | — |
| 270 | #469 | — | 4 | 1 | no | — |
| 271 | #469 | — | 4 | 1 | no | — |
| 272 | #469 | — | 4 | 1 | no | — |
| 273 | #468 | — | 2 | 1 | no | — |
| 274 | #468 | — | 2 | 1 | no | — |
| 275 | #468 | — | 4 | 1 | no | — |
| 276 | #468 | — | 4 | 1 | no | — |
| 277 | #468 | — | 4 | 1 | no | — |
| 278 | #468 | — | 4 | 1 | no | — |
| 279 | #468 | — | 4 | 1 | no | — |
| 280 | #466 | — | 4 | 1 | no | — |
| 281 | #466 | — | 4 | 1 | no | — |
| 282 | #466 | — | 4 | 1 | no | — |
| 283 | #466 | — | 4 | 1 | no | — |
| 284 | #465 | — | 4 | 1 | no | — |
| 285 | #465 | — | 4 | 1 | no | — |
| 286 | #465 | — | 4 | 1 | no | — |
| 287 | #465 | — | 4 | 1 | no | — |
| 288 | #465 | — | 4 | 1 | no | — |
| 289 | #465 | — | 4 | 1 | no | — |
| 290 | #463 | — | 4 | 1 | no | — |
| 291 | #463 | — | 4 | 1 | no | — |
| 292 | #463 | — | 4 | 1 | no | — |
| 293 | #461 | — | 2 | 1 | no | — |
| 294 | #461 | — | 2 | 1 | no | — |
| 295 | #460 | — | 2 | 1 | no | — |
| 296 | #460 | — | 4 | 1 | no | — |
| 297 | #459 | — | 2 | 1 | no | — |
| 298 | #459 | — | 2 | 1 | no | — |
| 299 | #459 | — | 2 | 1 | no | — |
| 300 | #459 | — | 2 | 1 | no | — |
| 301 | #459 | — | 2 | 1 | no | — |
| 302 | #459 | — | 4 | 1 | no | — |
| 303 | #459 | — | 4 | 1 | no | — |
| 304 | #450 | — | 4 | 1 | no | — |
| 305 | #450 | — | 4 | 1 | no | — |
| 306 | #450 | — | 4 | 1 | no | — |
| 307 | #449 | — | 4 | 1 | no | — |
| 308 | #449 | — | 4 | 1 | no | — |
| 309 | #449 | — | 4 | 1 | no | — |
| 310 | #449 | — | 4 | 1 | no | — |
| 311 | #448 | — | 4 | 1 | no | — |
| 312 | #448 | — | 4 | 1 | no | — |
| 313 | #447 | — | 4 | 1 | no | — |
| 314 | #447 | — | 4 | 1 | no | — |
| 315 | #447 | — | 4 | 1 | no | — |
| 316 | #447 | — | 4 | 1 | no | — |
| 317 | #447 | — | 4 | 1 | no | — |
| 318 | #446 | — | 2 | 1 | no | — |
| 319 | C8×Q8 | — | 2 | 1 | no | — |
| 320 | #442 | — | 4 | 1 | no | — |
| 321 | #442 | — | 4 | 1 | no | — |
| 322 | #441 | — | 4 | 1 | no | — |
| 323 | #440 | — | 4 | 1 | no | — |
| 324 | #440 | — | 4 | 1 | no | — |
| 325 | C4×SD16 | — | 2 | 1 | no | — |
| 326 | C4×SD16 | — | 2 | 1 | no | — |
| 327 | C4×D8 | — | 2 | 1 | no | — |
| 328 | C4×D8 | — | 2 | 1 | no | — |
| 329 | C4×D8 | — | 4 | 1 | no | — |
| 330 | C4×D8 | — | 4 | 1 | no | — |
| 331 | #436 | — | 2 | 1 | no | — |
| 332 | #436 | — | 2 | 1 | no | — |
| 333 | #436 | — | 2 | 1 | no | — |
| 334 | #436 | — | 4 | 1 | no | — |
| 335 | #435 | — | 4 | 1 | no | — |
| 336 | #435 | — | 4 | 1 | no | — |
| 337 | #435 | — | 4 | 1 | no | — |
| 338 | C8×D4 | — | 2 | 1 | no | — |
| 339 | C8×D4 | — | 2 | 1 | no | — |
| 340 | C8×D4 | — | 2 | 1 | no | — |
| 341 | #433 | — | 4 | 1 | no | — |
| 342 | #431 | — | 2 | 1 | no | — |
| 343 | #428 | — | 4 | 1 | no | — |
| 344 | #427 | — | 4 | 1 | no | — |
| 345 | C2×C4⋊C8 | — | 2 | 1 | no | — |
| 346 | #421 | — | 4 | 1 | no | — |
| 347 | #419 | — | 4 | 1 | no | — |
| 348 | #418 | — | 4 | 1 | no | — |
| 349 | #418 | — | 4 | 1 | no | — |
| 350 | #418 | — | 4 | 1 | no | — |
| 351 | #418 | — | 4 | 1 | no | — |
| 352 | #418 | — | 4 | 1 | no | — |
| 353 | #418 | — | 8 | 1 | no | — |
| 354 | #417 | — | 4 | 1 | no | — |
| 355 | #416 | — | 4 | 1 | no | — |
| 356 | #416 | — | 4 | 1 | no | — |
| 357 | C2×#102 | — | 4 | 1 | no | — |
| 358 | C2×#102 | — | 4 | 1 | no | — |
| 359 | C2×#100 | — | 2 | 1 | no | — |
| 360 | #410 | — | 2 | 1 | no | — |
| 361 | #410 | — | 4 | 1 | no | — |
| 362 | C2×#99 | — | 4 | 1 | no | — |
| 363 | C2×#99 | — | 8 | 1 | no | — |
| 364 | #408 | — | 4 | 1 | no | — |
| 365 | #405 | — | 4 | 1 | no | — |
| 366 | C4×M16 | — | 2 | 1 | no | — |
| 367 | C4×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 368 | #364 | — | 4 | 1 | no | — |
| 369 | #354 | — | 4 | 1 | no | — |
| 370 | #353 | — | 4 | 1 | no | — |
| 371 | #353 | — | 4 | 1 | no | — |
| 372 | #353 | — | 4 | 1 | no | — |
| 373 | #353 | — | 8 | 1 | no | — |
| 374 | #353 | — | 8 | 1 | no | — |
| 375 | #352 | — | 8 | 1 | no | — |
| 376 | AΣL(1,𝔽16) | — | 8 | 1 | no | — |
| 377 | #349 | — | 4 | 1 | no | — |
| 378 | #347 | — | 4 | 1 | no | — |
| 379 | #344 | — | 4 | 1 | no | — |
| 380 | #342 | — | 8 | 1 | no | — |
| 381 | #339 | — | 4 | 1 | no | — |
| 382 | #338 | — | 2 | 1 | no | — |
| 383 | H(3,ℤ/4) | — | 2 | 1 | no | — |
| 384 | H(3,ℤ/4) | — | 8 | 1 | no | — |
| 385 | #335 | — | 2 | 1 | no | — |
| 386 | #335 | — | 2 | 1 | no | — |
| 387 | #334 | — | 2 | 1 | no | — |
| 388 | #334 | — | 2 | 1 | no | — |
| 389 | #333 | — | 2 | 1 | no | — |
| 390 | #333 | — | 2 | 1 | no | — |
| 391 | #333 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 392 | #333 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 393 | #332 | — | 2 | 1 | no | — |
| 394 | #332 | — | 2 | 1 | no | — |
| 395 | #331 | — | 2 | 1 | no | — |
| 396 | #331 | — | 2 | 1 | no | — |
| 397 | #331 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 398 | #331 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 399 | Q8⋊C8 | — | 2 | 1 | no | — |
| 400 | Q8⋊C8 | — | 2 | 1 | no | — |
| 401 | D4⋊C8 | — | 2 | 1 | no | — |
| 402 | D4⋊C8 | — | 2 | 1 | no | — |
| 403 | D4⋊C8 | — | 2 | 1 | no | — |
| 404 | D4⋊C8 | — | 2 | 1 | no | — |
| 405 | D4⋊C8 | — | 2 | 1 | no | — |
| 406 | D4⋊C8 | — | 2 | 1 | no | — |
| 407 | #322 | — | 2 | 1 | no | — |
| 408 | #322 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 409 | C82 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 410 | C2×#41 | — | 2 | 1 | no | — |
| 411 | C2×#41 | — | 4 | 1 | no | — |
| 412 | C2×#41 | — | 4 | 1 | no | — |
| 413 | C2×#41 | — | 4 | 1 | no | — |
| 414 | C22×Q8 | — | 4 | 1 | no | — |
| 415 | C22×D4 | — | 2 | 1 | no | — |
| 416 | C22×D4 | — | 4 | 1 | no | — |
| 417 | C22×D4 | — | 4 | 1 | no | — |
| 418 | C22×D4 | — | 4 | 1 | no | — |
| 419 | C22×D4 | — | 4 | 1 | no | — |
| 420 | C22×D4 | — | 4 | 1 | no | — |
| 421 | C22×D4 | — | 4 | 1 | no | — |
| 422 | AGL(1,ℤ/8) | — | 16 | 2 | no | — |
| 423 | AGL(1,ℤ/8) | — | 16 | 1 | no | — |
| 424 | AGL(1,ℤ/8) | — | 16 | 1 | no | — |
| 425 | C2×Q16 | — | 4 | 1 | no | — |
| 426 | C2×SD16 | — | 2 | 1 | no | — |
| 427 | C2×SD16 | — | 2 | 1 | no | — |
| 428 | C2×SD16 | — | 4 | 1 | no | — |
| 429 | C2×SD16 | — | 4 | 1 | no | — |
| 430 | C2×SD16 | — | 4 | 1 | no | — |
| 431 | C2×SD16 | — | 4 | 1 | no | — |
| 432 | C2×SD16 | — | 4 | 1 | no | — |
| 433 | C2×SD16 | — | 4 | 1 | no | — |
| 434 | C2×SD16 | — | 4 | 1 | no | — |
| 435 | C2×SD16 | — | 16 | 2 | no | — |
| 436 | C2×D8 | — | 2 | 1 | no | — |
| 437 | C2×D8 | — | 2 | 1 | no | — |
| 438 | C2×D8 | — | 4 | 1 | no | — |
| 439 | C2×D8 | — | 4 | 1 | no | — |
| 440 | C2×D8 | — | 4 | 1 | no | — |
| 441 | C2×D8 | — | 4 | 1 | no | — |
| 442 | C2×D8 | — | 4 | 1 | no | — |
| 443 | C2×D8 | — | 4 | 1 | no | — |
| 444 | C2×D8 | — | 4 | 1 | no | — |
| 445 | #131 | — | 16 | 1 | no | — |
| 446 | #131 | — | 16 | 2 | no | — |
| 447 | C2×M16 | — | 2 | 1 | no | — |
| 448 | C2×M16 | — | 2 | 1 | no | — |
| 449 | C2×M16 | — | 2 | 1 | no | — |
| 450 | C2×M16 | — | 4 | 1 | no | — |
| 451 | C2×M16 | — | 4 | 1 | no | — |
| 452 | C2×M16 | — | 4 | 1 | no | — |
| 453 | C2×M16 | — | 4 | 1 | no | — |
| 454 | C2×M16 | — | 8 | 1 | no | — |
| 455 | C22×C8 | — | 4 | 1 | no | — |
| 456 | C22×C8 | — | 4 | 1 | no | — |
| 457 | C22×C8 | — | 4 | 1 | no | — |
| 458 | C22×C8 | — | 4 | 1 | no | — |
| 459 | C4⋊Q8 | — | 2 | 1 | no | — |
| 460 | C4⋊Q8 | — | 2 | 1 | no | — |
| 461 | C4⋊Q8 | — | 2 | 1 | no | — |
| 462 | C4⋊Q8 | — | 4 | 1 | no | — |
| 463 | C4⋊Q8 | — | 8 | 1 | no | — |
| 464 | C4⋊Q8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 465 | #127 | — | 2 | 1 | no | — |
| 466 | #127 | — | 2 | 1 | no | — |
| 467 | #127 | — | 4 | 1 | no | — |
| 468 | #127 | — | 4 | 1 | no | — |
| 469 | #127 | — | 4 | 1 | no | — |
| 470 | #127 | — | 4 | 1 | no | — |
| 471 | #127 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 472 | #127 | #120 | 1 | 1 | yes | characteristic |
| 473 | #127 | #120 | 1 | 1 | yes | characteristic |
| 474 | #126 | — | 4 | 1 | no | — |
| 475 | #126 | — | 8 | 1 | no | — |
| 476 | #125 | — | 2 | 1 | no | — |
| 477 | #125 | — | 4 | 1 | no | — |
| 478 | #125 | — | 4 | 1 | no | — |
| 479 | #125 | — | 8 | 1 | no | — |
| 480 | #124 | — | 2 | 1 | no | — |
| 481 | #124 | — | 2 | 1 | no | — |
| 482 | #124 | — | 4 | 1 | no | — |
| 483 | #124 | — | 4 | 1 | no | — |
| 484 | #124 | — | 4 | 1 | no | — |
| 485 | #124 | — | 4 | 1 | no | — |
| 486 | #124 | — | 8 | 1 | no | — |
| 487 | #124 | — | 8 | 1 | no | — |
| 488 | #124 | — | 8 | 1 | no | — |
| 489 | #124 | — | 8 | 1 | no | — |
| 490 | #124 | — | 8 | 1 | no | — |
| 491 | #123 | — | 4 | 1 | no | — |
| 492 | #123 | — | 4 | 1 | no | — |
| 493 | #123 | — | 4 | 1 | no | — |
| 494 | #123 | — | 8 | 1 | no | — |
| 495 | #123 | — | 8 | 1 | no | — |
| 496 | #123 | — | 8 | 1 | no | — |
| 497 | #123 | — | 8 | 1 | no | — |
| 498 | #123 | — | 8 | 1 | no | — |
| 499 | C22⋊Q8 | — | 2 | 1 | no | — |
| 500 | C22⋊Q8 | — | 4 | 1 | no | — |
| 501 | C22⋊Q8 | — | 4 | 1 | no | — |
| 502 | C22⋊Q8 | — | 4 | 1 | no | — |
| 503 | C22⋊Q8 | — | 4 | 1 | no | — |
| 504 | C22⋊Q8 | — | 4 | 1 | no | — |
| 505 | C22⋊Q8 | — | 8 | 1 | no | — |
| 506 | C22⋊Q8 | — | 8 | 1 | no | — |
| 507 | C22⋊Q8 | — | 8 | 1 | no | — |
| 508 | C22⋊Q8 | — | 8 | 1 | no | — |
| 509 | #121 | — | 2 | 1 | no | — |
| 510 | #121 | — | 2 | 1 | no | — |
| 511 | #121 | — | 2 | 1 | no | — |
| 512 | #121 | — | 4 | 1 | no | — |
| 513 | #121 | — | 4 | 1 | no | — |
| 514 | #121 | — | 4 | 1 | no | — |
| 515 | #121 | — | 4 | 1 | no | — |
| 516 | #121 | — | 4 | 1 | no | — |
| 517 | #121 | — | 4 | 1 | no | — |
| 518 | #121 | — | 4 | 1 | no | — |
| 519 | #121 | — | 4 | 1 | no | — |
| 520 | #121 | — | 4 | 1 | no | — |
| 521 | #121 | — | 4 | 1 | no | — |
| 522 | #121 | — | 4 | 1 | no | — |
| 523 | #121 | — | 8 | 1 | no | — |
| 524 | #121 | — | 8 | 1 | no | — |
| 525 | #121 | — | 8 | 1 | no | — |
| 526 | #121 | — | 8 | 1 | no | — |
| 527 | #121 | — | 8 | 1 | no | — |
| 528 | #121 | — | 8 | 1 | no | — |
| 529 | #121 | — | 8 | 1 | no | — |
| 530 | #121 | — | 8 | 1 | no | — |
| 531 | #121 | — | 8 | 1 | no | — |
| 532 | #120 | — | 4 | 1 | no | — |
| 533 | #120 | — | 4 | 1 | no | — |
| 534 | #120 | — | 8 | 1 | no | — |
| 535 | #120 | — | 8 | 1 | no | — |
| 536 | #120 | — | 8 | 1 | no | — |
| 537 | #120 | — | 8 | 1 | no | — |
| 538 | #120 | — | 8 | 1 | no | — |
| 539 | #120 | — | 8 | 1 | no | — |
| 540 | C4×Q8 | — | 2 | 1 | no | — |
| 541 | C4×Q8 | — | 4 | 1 | no | — |
| 542 | C4×Q8 | — | 4 | 1 | no | — |
| 543 | C4×D4 | — | 2 | 1 | no | — |
| 544 | C4×D4 | — | 2 | 1 | no | — |
| 545 | C4×D4 | — | 2 | 1 | no | — |
| 546 | C4×D4 | — | 4 | 1 | no | — |
| 547 | C4×D4 | — | 4 | 1 | no | — |
| 548 | C4×D4 | — | 4 | 1 | no | — |
| 549 | C4×D4 | — | 4 | 1 | no | — |
| 550 | C4×D4 | — | 4 | 1 | no | — |
| 551 | C4×D4 | — | 4 | 1 | no | — |
| 552 | C4×D4 | — | 4 | 1 | no | — |
| 553 | C4×D4 | — | 8 | 1 | no | — |
| 554 | C4×D4 | — | 16 | 1 | no | — |
| 555 | #117 | — | 4 | 1 | no | — |
| 556 | #117 | — | 4 | 1 | no | — |
| 557 | #117 | — | 4 | 1 | no | — |
| 558 | #117 | — | 4 | 1 | no | — |
| 559 | #117 | — | 4 | 1 | no | — |
| 560 | #117 | — | 4 | 1 | no | — |
| 561 | #117 | — | 4 | 1 | no | — |
| 562 | #117 | — | 4 | 1 | no | — |
| 563 | #117 | — | 8 | 1 | no | — |
| 564 | #117 | — | 8 | 1 | no | — |
| 565 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 566 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 567 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 568 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 569 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 570 | C2×C42 | #120 | 1 | 1 | yes | characteristic |
| 571 | M32 | — | 8 | 1 | no | — |
| 572 | #107 | — | 2 | 1 | no | — |
| 573 | #107 | — | 2 | 1 | no | — |
| 574 | #107 | — | 4 | 1 | no | — |
| 575 | #107 | — | 4 | 1 | no | — |
| 576 | #107 | — | 4 | 1 | no | — |
| 577 | #107 | — | 4 | 1 | no | — |
| 578 | #107 | — | 4 | 1 | no | — |
| 579 | #106 | — | 2 | 1 | no | — |
| 580 | #106 | — | 2 | 1 | no | — |
| 581 | #106 | — | 4 | 1 | no | — |
| 582 | #106 | — | 4 | 1 | no | — |
| 583 | #106 | — | 4 | 1 | no | — |
| 584 | #106 | — | 4 | 1 | no | — |
| 585 | #106 | — | 4 | 1 | no | — |
| 586 | #106 | — | 4 | 1 | no | — |
| 587 | C4⋊C8 | — | 2 | 1 | no | — |
| 588 | C4⋊C8 | — | 2 | 1 | no | — |
| 589 | C4⋊C8 | — | 2 | 1 | no | — |
| 590 | C4⋊C8 | — | 2 | 1 | no | — |
| 591 | C4⋊C8 | — | 4 | 1 | no | — |
| 592 | C4⋊C8 | — | 4 | 1 | no | — |
| 593 | C4⋊C8 | — | 4 | 1 | no | — |
| 594 | #104 | — | 16 | 1 | no | — |
| 595 | #103 | — | 2 | 1 | no | — |
| 596 | #103 | — | 2 | 1 | no | — |
| 597 | #103 | — | 4 | 1 | no | — |
| 598 | #103 | — | 4 | 1 | no | — |
| 599 | #103 | — | 4 | 1 | no | — |
| 600 | #103 | — | 4 | 1 | no | — |
| 601 | #103 | — | 4 | 1 | no | — |
| 602 | #103 | — | 4 | 1 | no | — |
| 603 | #103 | — | 4 | 1 | no | — |
| 604 | #103 | — | 8 | 1 | no | — |
| 605 | #102 | — | 2 | 1 | no | — |
| 606 | #102 | — | 2 | 1 | no | — |
| 607 | #102 | — | 2 | 1 | no | — |
| 608 | #102 | — | 2 | 1 | no | — |
| 609 | #102 | — | 2 | 1 | no | — |
| 610 | #102 | — | 2 | 1 | no | — |
| 611 | #102 | — | 4 | 1 | no | — |
| 612 | #102 | — | 4 | 1 | no | — |
| 613 | #102 | — | 4 | 1 | no | — |
| 614 | #102 | — | 4 | 1 | no | — |
| 615 | #102 | — | 4 | 1 | no | — |
| 616 | #102 | — | 4 | 1 | no | — |
| 617 | #102 | — | 4 | 1 | no | — |
| 618 | #102 | — | 4 | 1 | no | — |
| 619 | #102 | — | 4 | 1 | no | — |
| 620 | #102 | — | 4 | 1 | no | — |
| 621 | #102 | — | 4 | 1 | no | — |
| 622 | #102 | — | 4 | 1 | no | — |
| 623 | #102 | — | 4 | 1 | no | — |
| 624 | #102 | — | 4 | 1 | no | — |
| 625 | #102 | — | 4 | 1 | no | — |
| 626 | #102 | — | 4 | 1 | no | — |
| 627 | #102 | — | 4 | 1 | no | — |
| 628 | #102 | — | 4 | 1 | no | — |
| 629 | #102 | — | 4 | 1 | no | — |
| 630 | #102 | — | 4 | 1 | no | — |
| 631 | #102 | — | 4 | 1 | no | — |
| 632 | #102 | — | 16 | 1 | no | — |
| 633 | #102 | — | 16 | 2 | no | — |
| 634 | #100 | — | 8 | 1 | no | — |
| 635 | #99 | — | 8 | 1 | no | — |
| 636 | #99 | — | 8 | 1 | no | — |
| 637 | #99 | — | 8 | 1 | no | — |
| 638 | #99 | — | 8 | 1 | no | — |
| 639 | #99 | — | 8 | 1 | no | — |
| 640 | #99 | — | 16 | 2 | no | — |
| 641 | C22⋊C8 | — | 4 | 1 | no | — |
| 642 | C22⋊C8 | — | 4 | 1 | no | — |
| 643 | C22⋊C8 | — | 4 | 1 | no | — |
| 644 | C22⋊C8 | — | 4 | 1 | no | — |
| 645 | C22⋊C8 | — | 4 | 1 | no | — |
| 646 | C22⋊C8 | — | 4 | 1 | no | — |
| 647 | C22⋊C8 | — | 4 | 1 | no | — |
| 648 | #97 | — | 2 | 1 | no | — |
| 649 | #97 | — | 2 | 1 | no | — |
| 650 | #97 | — | 2 | 1 | no | — |
| 651 | #97 | — | 4 | 1 | no | — |
| 652 | C4×C8 | — | 2 | 1 | no | — |
| 653 | C4×C8 | — | 2 | 1 | no | — |
| 654 | C4×C8 | — | 4 | 1 | no | — |
| 655 | C4×C8 | — | 4 | 1 | no | — |
| 656 | C4×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 657 | C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 658 | C24 | — | 4 | 1 | no | — |
| 659 | C24 | — | 4 | 1 | no | — |
| 660 | C24 | — | 8 | 1 | no | — |
| 661 | #41 | — | 8 | 1 | no | — |
| 662 | #41 | — | 8 | 1 | no | — |
| 663 | #41 | — | 16 | 1 | no | — |
| 664 | #41 | — | 16 | 1 | no | — |
| 665 | #41 | — | 16 | 1 | no | — |
| 666 | #41 | — | 16 | 1 | no | — |
| 667 | #41 | — | 16 | 1 | no | — |
| 668 | #41 | — | 16 | 1 | no | — |
| 669 | C2×Q8 | — | 2 | 1 | no | — |
| 670 | C2×Q8 | — | 2 | 1 | no | — |
| 671 | C2×Q8 | — | 4 | 1 | no | — |
| 672 | C2×Q8 | — | 4 | 1 | no | — |
| 673 | C2×Q8 | — | 4 | 1 | no | — |
| 674 | C2×Q8 | — | 8 | 1 | no | — |
| 675 | C2×Q8 | — | 16 | 1 | no | — |
| 676 | C2×Q8 | — | 16 | 1 | no | — |
| 677 | C2×D4 | — | 2 | 1 | no | — |
| 678 | C2×D4 | — | 2 | 1 | no | — |
| 679 | C2×D4 | — | 2 | 1 | no | — |
| 680 | C2×D4 | — | 2 | 1 | no | — |
| 681 | C2×D4 | — | 2 | 1 | no | — |
| 682 | C2×D4 | — | 2 | 1 | no | — |
| 683 | C2×D4 | — | 4 | 1 | no | — |
| 684 | C2×D4 | — | 4 | 1 | no | — |
| 685 | C2×D4 | — | 4 | 1 | no | — |
| 686 | C2×D4 | — | 4 | 1 | no | — |
| 687 | C2×D4 | — | 4 | 1 | no | — |
| 688 | C2×D4 | — | 4 | 1 | no | — |
| 689 | C2×D4 | — | 4 | 1 | no | — |
| 690 | C2×D4 | — | 4 | 1 | no | — |
| 691 | C2×D4 | — | 4 | 1 | no | — |
| 692 | C2×D4 | — | 4 | 1 | no | — |
| 693 | C2×D4 | — | 4 | 1 | no | — |
| 694 | C2×D4 | — | 4 | 1 | no | — |
| 695 | C2×D4 | — | 8 | 1 | no | — |
| 696 | C2×D4 | — | 8 | 1 | no | — |
| 697 | C2×D4 | — | 8 | 1 | no | — |
| 698 | C2×D4 | — | 8 | 1 | no | — |
| 699 | C2×D4 | — | 8 | 1 | no | — |
| 700 | C2×D4 | — | 8 | 1 | no | — |
| 701 | C2×D4 | — | 8 | 1 | no | — |
| 702 | C2×D4 | — | 8 | 1 | no | — |
| 703 | C2×D4 | — | 8 | 1 | no | — |
| 704 | C2×D4 | — | 8 | 1 | no | — |
| 705 | C2×D4 | — | 16 | 1 | no | — |
| 706 | C2×D4 | — | 16 | 1 | no | — |
| 707 | C2×D4 | — | 16 | 1 | no | — |
| 708 | C2×D4 | — | 16 | 1 | no | — |
| 709 | C2×D4 | — | 16 | 1 | no | — |
| 710 | C2×D4 | — | 16 | 1 | no | — |
| 711 | C2×D4 | — | 16 | 1 | no | — |
| 712 | C2×D4 | — | 16 | 1 | no | — |
| 713 | C2×D4 | — | 16 | 1 | no | — |
| 714 | C2×D4 | — | 16 | 1 | no | — |
| 715 | C2×D4 | — | 16 | 1 | no | — |
| 716 | C2×D4 | — | 16 | 1 | no | — |
| 717 | C22×C4 | — | 2 | 1 | no | — |
| 718 | C22×C4 | — | 4 | 1 | no | — |
| 719 | C22×C4 | — | 4 | 1 | no | — |
| 720 | C22×C4 | — | 4 | 1 | no | — |
| 721 | C22×C4 | — | 4 | 1 | no | — |
| 722 | C22×C4 | — | 4 | 1 | no | — |
| 723 | C22×C4 | — | 8 | 1 | no | — |
| 724 | C22×C4 | — | 8 | 1 | no | — |
| 725 | C22×C4 | — | 8 | 1 | no | — |
| 726 | C22×C4 | — | 8 | 1 | no | — |
| 727 | C22×C4 | — | 16 | 1 | no | — |
| 728 | C22×C4 | — | 16 | 1 | no | — |
| 729 | C22×C4 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 730 | Q16 | — | 16 | 1 | no | — |
| 731 | SD16 | — | 8 | 1 | no | — |
| 732 | SD16 | — | 8 | 1 | no | — |
| 733 | SD16 | — | 8 | 2 | no | — |
| 734 | SD16 | — | 16 | 1 | no | — |
| 735 | SD16 | — | 16 | 1 | no | — |
| 736 | SD16 | — | 16 | 1 | no | — |
| 737 | SD16 | — | 16 | 1 | no | — |
| 738 | SD16 | — | 16 | 1 | no | — |
| 739 | SD16 | — | 16 | 1 | no | — |
| 740 | D8 | — | 8 | 1 | no | — |
| 741 | D8 | — | 8 | 1 | no | — |
| 742 | D8 | — | 16 | 1 | no | — |
| 743 | D8 | — | 16 | 1 | no | — |
| 744 | D8 | — | 16 | 1 | no | — |
| 745 | D8 | — | 16 | 1 | no | — |
| 746 | D8 | — | 16 | 1 | no | — |
| 747 | D8 | — | 16 | 1 | no | — |
| 748 | D8 | — | 16 | 1 | no | — |
| 749 | M16 | — | 8 | 1 | no | — |
| 750 | M16 | — | 8 | 1 | no | — |
| 751 | M16 | — | 8 | 1 | no | — |
| 752 | M16 | — | 8 | 2 | no | — |
| 753 | M16 | — | 8 | 1 | no | — |
| 754 | M16 | — | 8 | 1 | no | — |
| 755 | M16 | — | 16 | 1 | no | — |
| 756 | M16 | — | 16 | 1 | no | — |
| 757 | M16 | — | 16 | 1 | no | — |
| 758 | C2×C8 | — | 2 | 1 | no | — |
| 759 | C2×C8 | — | 2 | 1 | no | — |
| 760 | C2×C8 | — | 2 | 1 | no | — |
| 761 | C2×C8 | — | 2 | 1 | no | — |
| 762 | C2×C8 | — | 2 | 1 | no | — |
| 763 | C2×C8 | — | 2 | 1 | no | — |
| 764 | C2×C8 | — | 4 | 1 | no | — |
| 765 | C2×C8 | — | 4 | 1 | no | — |
| 766 | C2×C8 | — | 4 | 1 | no | — |
| 767 | C2×C8 | — | 4 | 1 | no | — |
| 768 | C2×C8 | — | 8 | 2 | no | — |
| 769 | C2×C8 | — | 8 | 1 | no | — |
| 770 | C2×C8 | — | 8 | 2 | no | — |
| 771 | C2×C8 | — | 16 | 1 | no | — |
| 772 | C2×C8 | — | 16 | 1 | no | — |
| 773 | C2×C8 | — | 16 | 1 | no | — |
| 774 | C4⋊C4 | — | 2 | 1 | no | — |
| 775 | C4⋊C4 | — | 2 | 1 | no | — |
| 776 | C4⋊C4 | — | 2 | 1 | no | — |
| 777 | C4⋊C4 | — | 2 | 1 | no | — |
| 778 | C4⋊C4 | — | 4 | 1 | no | — |
| 779 | C4⋊C4 | — | 4 | 1 | no | — |
| 780 | C4⋊C4 | — | 4 | 1 | no | — |
| 781 | C4⋊C4 | — | 4 | 1 | no | — |
| 782 | C4⋊C4 | — | 4 | 1 | no | — |
| 783 | C4⋊C4 | — | 4 | 1 | no | — |
| 784 | C4⋊C4 | — | 4 | 1 | no | — |
| 785 | C4⋊C4 | — | 4 | 1 | no | — |
| 786 | C4⋊C4 | — | 4 | 1 | no | — |
| 787 | C4⋊C4 | — | 4 | 1 | no | — |
| 788 | C4⋊C4 | — | 8 | 1 | no | — |
| 789 | C4⋊C4 | — | 8 | 1 | no | — |
| 790 | C4⋊C4 | — | 8 | 1 | no | — |
| 791 | C4⋊C4 | — | 8 | 1 | no | — |
| 792 | C4⋊C4 | — | 8 | 1 | no | — |
| 793 | C4⋊C4 | — | 8 | 1 | no | — |
| 794 | C4⋊C4 | — | 8 | 1 | no | — |
| 795 | C4⋊C4 | — | 16 | 1 | no | — |
| 796 | C22⋊C4 | — | 4 | 1 | no | — |
| 797 | C22⋊C4 | — | 4 | 1 | no | — |
| 798 | C22⋊C4 | — | 4 | 1 | no | — |
| 799 | C22⋊C4 | — | 4 | 1 | no | — |
| 800 | C22⋊C4 | — | 4 | 1 | no | — |
| 801 | C22⋊C4 | — | 4 | 1 | no | — |
| 802 | C22⋊C4 | — | 4 | 1 | no | — |
| 803 | C22⋊C4 | — | 4 | 1 | no | — |
| 804 | C22⋊C4 | — | 4 | 1 | no | — |
| 805 | C22⋊C4 | — | 4 | 1 | no | — |
| 806 | C22⋊C4 | — | 4 | 1 | no | — |
| 807 | C22⋊C4 | — | 8 | 1 | no | — |
| 808 | C22⋊C4 | — | 8 | 1 | no | — |
| 809 | C22⋊C4 | — | 8 | 1 | no | — |
| 810 | C22⋊C4 | — | 8 | 1 | no | — |
| 811 | C22⋊C4 | — | 8 | 1 | no | — |
| 812 | C22⋊C4 | — | 8 | 1 | no | — |
| 813 | C22⋊C4 | — | 8 | 1 | no | — |
| 814 | C22⋊C4 | — | 8 | 1 | no | — |
| 815 | C22⋊C4 | — | 8 | 1 | no | — |
| 816 | C22⋊C4 | — | 8 | 1 | no | — |
| 817 | C22⋊C4 | — | 8 | 1 | no | — |
| 818 | C22⋊C4 | — | 8 | 1 | no | — |
| 819 | C22⋊C4 | — | 8 | 2 | no | — |
| 820 | C22⋊C4 | — | 8 | 1 | no | — |
| 821 | C22⋊C4 | — | 16 | 1 | no | — |
| 822 | C22⋊C4 | — | 16 | 1 | no | — |
| 823 | C22⋊C4 | — | 16 | 1 | no | — |
| 824 | C42 | — | 2 | 1 | no | — |
| 825 | C42 | — | 4 | 1 | no | — |
| 826 | C42 | — | 4 | 1 | no | — |
| 827 | C42 | — | 4 | 1 | no | — |
| 828 | C42 | — | 8 | 1 | no | — |
| 829 | C42 | — | 8 | 1 | no | — |
| 830 | C42 | — | 8 | 1 | no | — |
| 831 | C42 | — | 16 | 1 | no | — |
| 832 | C42 | #379 | 1 | 1 | yes | characteristic |
| 833 | C42 | #458 | 1 | 1 | yes | characteristic |
| 834 | C16 | — | 16 | 1 | no | — |
| 835 | C23 | — | 4 | 1 | no | — |
| 836 | C23 | — | 4 | 1 | no | — |
| 837 | C23 | — | 4 | 1 | no | — |
| 838 | C23 | — | 4 | 1 | no | — |
| 839 | C23 | — | 4 | 1 | no | — |
| 840 | C23 | — | 4 | 1 | no | — |
| 841 | C23 | — | 8 | 1 | no | — |
| 842 | C23 | — | 8 | 1 | no | — |
| 843 | C23 | — | 16 | 1 | no | — |
| 844 | C23 | — | 32 | 1 | no | — |
| 845 | C23 | — | 32 | 1 | no | — |
| 846 | C23 | — | 32 | 1 | no | — |
| 847 | C23 | — | 32 | 1 | no | — |
| 848 | C23 | — | 32 | 1 | no | — |
| 849 | C23 | #2196 | 1 | 1 | yes | characteristic |
| 850 | Q8 | — | 4 | 1 | no | — |
| 851 | Q8 | — | 4 | 1 | no | — |
| 852 | Q8 | — | 8 | 1 | no | — |
| 853 | Q8 | — | 8 | 1 | no | — |
| 854 | Q8 | — | 8 | 1 | no | — |
| 855 | Q8 | — | 16 | 1 | no | — |
| 856 | Q8 | — | 16 | 1 | no | — |
| 857 | Q8 | — | 32 | 1 | no | — |
| 858 | D4 | — | 4 | 1 | no | — |
| 859 | D4 | — | 4 | 1 | no | — |
| 860 | D4 | — | 4 | 1 | no | — |
| 861 | D4 | — | 4 | 1 | no | — |
| 862 | D4 | — | 4 | 1 | no | — |
| 863 | D4 | — | 4 | 1 | no | — |
| 864 | D4 | — | 8 | 1 | no | — |
| 865 | D4 | — | 8 | 1 | no | — |
| 866 | D4 | — | 8 | 1 | no | — |
| 867 | D4 | — | 8 | 1 | no | — |
| 868 | D4 | — | 8 | 1 | no | — |
| 869 | D4 | — | 8 | 1 | no | — |
| 870 | D4 | — | 8 | 1 | no | — |
| 871 | D4 | — | 8 | 1 | no | — |
| 872 | D4 | — | 8 | 1 | no | — |
| 873 | D4 | — | 16 | 1 | no | — |
| 874 | D4 | — | 16 | 1 | no | — |
| 875 | D4 | — | 16 | 1 | no | — |
| 876 | D4 | — | 16 | 1 | no | — |
| 877 | D4 | — | 16 | 1 | no | — |
| 878 | D4 | — | 16 | 1 | no | — |
| 879 | D4 | — | 16 | 1 | no | — |
| 880 | D4 | — | 16 | 1 | no | — |
| 881 | D4 | — | 16 | 1 | no | — |
| 882 | D4 | — | 32 | 1 | no | — |
| 883 | D4 | — | 32 | 1 | no | — |
| 884 | D4 | — | 32 | 1 | no | — |
| 885 | D4 | — | 32 | 1 | no | — |
| 886 | D4 | — | 32 | 1 | no | — |
| 887 | D4 | — | 32 | 1 | no | — |
| 888 | D4 | — | 32 | 1 | no | — |
| 889 | D4 | — | 32 | 1 | no | — |
| 890 | C2×C4 | — | 2 | 1 | no | — |
| 891 | C2×C4 | — | 2 | 1 | no | — |
| 892 | C2×C4 | — | 4 | 1 | no | — |
| 893 | C2×C4 | — | 4 | 1 | no | — |
| 894 | C2×C4 | — | 4 | 1 | no | — |
| 895 | C2×C4 | — | 4 | 1 | no | — |
| 896 | C2×C4 | — | 4 | 1 | no | — |
| 897 | C2×C4 | — | 4 | 1 | no | — |
| 898 | C2×C4 | — | 4 | 1 | no | — |
| 899 | C2×C4 | — | 4 | 1 | no | — |
| 900 | C2×C4 | — | 4 | 1 | no | — |
| 901 | C2×C4 | — | 8 | 1 | no | — |
| 902 | C2×C4 | — | 8 | 1 | no | — |
| 903 | C2×C4 | — | 8 | 1 | no | — |
| 904 | C2×C4 | — | 8 | 1 | no | — |
| 905 | C2×C4 | — | 8 | 1 | no | — |
| 906 | C2×C4 | — | 8 | 1 | no | — |
| 907 | C2×C4 | — | 8 | 1 | no | — |
| 908 | C2×C4 | — | 8 | 1 | no | — |
| 909 | C2×C4 | — | 8 | 1 | no | — |
| 910 | C2×C4 | — | 8 | 1 | no | — |
| 911 | C2×C4 | — | 16 | 1 | no | — |
| 912 | C2×C4 | — | 16 | 1 | no | — |
| 913 | C2×C4 | — | 32 | 1 | no | — |
| 914 | C2×C4 | — | 32 | 1 | no | — |
| 915 | C2×C4 | — | 32 | 1 | no | — |
| 916 | C2×C4 | — | 32 | 1 | no | — |
| 917 | C2×C4 | — | 32 | 1 | no | — |
| 918 | C2×C4 | — | 32 | 1 | no | — |
| 919 | C2×C4 | — | 64 | 1 | no | — |
| 920 | C2×C4 | — | 64 | 1 | no | — |
| 921 | C2×C4 | #1790 | 1 | 1 | yes | characteristic |
| 922 | C2×C4 | #2196 | 1 | 1 | yes | characteristic |
| 923 | C8 | — | 4 | 1 | no | — |
| 924 | C8 | — | 4 | 1 | no | — |
| 925 | C8 | — | 4 | 1 | no | — |
| 926 | C8 | — | 4 | 1 | no | — |
| 927 | C8 | — | 4 | 1 | no | — |
| 928 | C8 | — | 4 | 1 | no | — |
| 929 | C8 | — | 8 | 1 | no | — |
| 930 | C8 | — | 8 | 1 | no | — |
| 931 | C8 | — | 8 | 1 | no | — |
| 932 | C8 | — | 8 | 1 | no | — |
| 933 | C8 | — | 16 | 1 | no | — |
| 934 | C22 | — | 2 | 1 | no | — |
| 935 | C22 | — | 4 | 1 | no | — |
| 936 | C22 | — | 8 | 1 | no | — |
| 937 | C22 | — | 8 | 1 | no | — |
| 938 | C22 | — | 8 | 1 | no | — |
| 939 | C22 | — | 8 | 1 | no | — |
| 940 | C22 | — | 8 | 1 | no | — |
| 941 | C22 | — | 8 | 1 | no | — |
| 942 | C22 | — | 8 | 1 | no | — |
| 943 | C22 | — | 8 | 1 | no | — |
| 944 | C22 | — | 8 | 1 | no | — |
| 945 | C22 | — | 8 | 1 | no | — |
| 946 | C22 | — | 8 | 1 | no | — |
| 947 | C22 | — | 8 | 1 | no | — |
| 948 | C22 | — | 16 | 1 | no | — |
| 949 | C22 | — | 16 | 1 | no | — |
| 950 | C22 | — | 16 | 1 | no | — |
| 951 | C22 | — | 32 | 1 | no | — |
| 952 | C22 | — | 32 | 1 | no | — |
| 953 | C22 | — | 64 | 1 | no | — |
| 954 | C22 | — | 64 | 2 | no | — |
| 955 | C22 | #12759 | 1 | 1 | yes | characteristic |
| 956 | C4 | — | 2 | 1 | no | — |
| 957 | C4 | — | 2 | 1 | no | — |
| 958 | C4 | — | 2 | 1 | no | — |
| 959 | C4 | — | 2 | 1 | no | — |
| 960 | C4 | — | 4 | 1 | no | — |
| 961 | C4 | — | 8 | 1 | no | — |
| 962 | C4 | — | 8 | 1 | no | — |
| 963 | C4 | — | 8 | 1 | no | — |
| 964 | C4 | — | 8 | 1 | no | — |
| 965 | C4 | — | 8 | 1 | no | — |
| 966 | C4 | — | 8 | 1 | no | — |
| 967 | C4 | — | 16 | 1 | no | — |
| 968 | C4 | — | 16 | 1 | no | — |
| 969 | C4 | — | 32 | 1 | no | — |
| 970 | C4 | — | 64 | 1 | no | — |
| 971 | C4 | — | 64 | 1 | no | — |
| 972 | C2 | — | 2 | 1 | no | — |
| 973 | C2 | — | 4 | 1 | no | — |
| 974 | C2 | — | 16 | 1 | no | — |
| 975 | C2 | — | 16 | 1 | no | — |
| 976 | C2 | — | 16 | 1 | no | — |
| 977 | C2 | — | 16 | 1 | no | — |
| 978 | C2 | — | 16 | 1 | no | — |
| 979 | C2 | — | 16 | 1 | no | — |
| 980 | C2 | #152191 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #152191 |
| commutator | #492 | C22×C4 |
| Frattini, cosocle | #3151 | C23 |
| prime radical | #6368904 | C2 |
| LCS | G ▷ #492 ▷ C42 ▷ C2×C4 ▷ C22 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22 ◁ C22×C4 ◁ C2×C42 ◁ #3151 ◁ G | |
| LECS | G ▷ #3151 ▷ C42 ▷ C2×C4 ▷ C22 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #153538 | C2 | semidirect |
| 3. #153469 | C2 | semidirect |
| 4. #153459 | C2 | semidirect |
| 5. #152619 | C2 | semidirect |
| 6. #152616 | C2 | semidirect |
| 7. #139425 | C2 | semidirect |
| 11. #20294 | C4 | semidirect |
| 14. #20157 | C4 | semidirect |
| 15. #20131 | C4 | semidirect |
| 17. #19987 | C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #6368904 | 2 |
| #153538 | 2 |
| #153469 | 2 |
| #153459 | 2 |
| #152619 | 2 |
| #152616 | 2 |
| #139425 | 2 |