Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
1368 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 1368 conjugacy classes of subgroups — too many to draw. Only its 35 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 | #11715840 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11715714 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11714178 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11711649 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11711640 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11711589 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #32895⋊C3 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #499826 | — | 3 | 1 | no | maximal, Sylow |
| 9 | #87548 | C22 | 1 | 1 | yes | characteristic |
| 10 | #87519 | — | 2 | 1 | no | — |
| 11 | #87519 | C22 | 1 | 1 | yes | characteristic |
| 12 | #87518 | C22 | 1 | 1 | yes | characteristic |
| 13 | #87517 | — | 2 | 1 | no | — |
| 14 | #87517 | C22 | 1 | 1 | yes | characteristic |
| 15 | #85567 | C22 | 1 | 1 | yes | characteristic |
| 16 | #85461 | — | 4 | 1 | no | maximal |
| 17 | #3027⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 18 | #73027 | — | 2 | 1 | no | — |
| 19 | #73025 | — | 2 | 1 | no | — |
| 20 | #1791⋊C3 | C22 | 1 | 1 | yes | characteristic |
| 21 | #61646 | — | 3 | 1 | no | — |
| 22 | #60400 | — | 3 | 1 | no | — |
| 23 | #33556 | — | 3 | 1 | no | — |
| 24 | #33555 | — | 3 | 1 | no | — |
| 25 | #32897 | — | 3 | 1 | no | — |
| 26 | #32895 | D3 | 1 | 1 | yes | characteristic, complemented |
| 27 | #13356 | — | 3 | 1 | no | — |
| 28 | #13354 | — | 3 | 1 | no | — |
| 29 | #13352 | — | 3 | 1 | no | — |
| 30 | #13351 | — | 3 | 1 | no | — |
| 31 | #13103 | — | 3 | 1 | no | — |
| 32 | #13101 | — | 3 | 1 | no | — |
| 33 | #13046 | — | 3 | 1 | no | — |
| 34 | #13046 | — | 3 | 1 | no | — |
| 35 | #12712 | — | 3 | 1 | no | — |
| 36 | #5950 | — | 2 | 1 | no | — |
| 37 | #5950 | C23 | 1 | 1 | yes | characteristic |
| 38 | #5934 | D4 | 1 | 1 | yes | characteristic |
| 39 | #5933 | — | 2 | 1 | no | — |
| 40 | #5932 | — | 2 | 1 | no | — |
| 41 | #5932 | D4 | 1 | 1 | yes | characteristic |
| 42 | Q8×S4 | — | 4 | 1 | no | — |
| 43 | Q8×S4 | — | 8 | 1 | no | — |
| 44 | #5914 | — | 4 | 1 | no | — |
| 45 | A4×SD16 | — | 4 | 1 | no | — |
| 46 | #5428 | — | 8 | 1 | no | — |
| 47 | #5416 | — | 4 | 1 | no | — |
| 48 | #5414 | — | 4 | 1 | no | — |
| 49 | #5400 | — | 4 | 1 | no | — |
| 50 | #5398 | — | 4 | 1 | no | — |
| 51 | B(4,𝔽2)⋊C3 | — | 2 | 1 | no | — |
| 52 | 2−1+6 | C2×D3 | 1 | 1 | yes | characteristic |
| 53 | #3540 | — | 3 | 1 | no | — |
| 54 | #3486 | — | 3 | 1 | no | — |
| 55 | #3486 | — | 6 | 1 | no | — |
| 56 | #3329 | — | 6 | 1 | no | — |
| 57 | #3328 | — | 6 | 1 | no | — |
| 58 | #3321 | — | 6 | 1 | no | — |
| 59 | #3313 | — | 6 | 1 | no | — |
| 60 | #3277 | — | 6 | 1 | no | — |
| 61 | #3275 | — | 6 | 1 | no | — |
| 62 | #3270 | — | 6 | 1 | no | — |
| 63 | #3266 | — | 6 | 1 | no | — |
| 64 | #3225 | — | 6 | 1 | no | — |
| 65 | #3202 | — | 3 | 1 | no | — |
| 66 | #3200 | — | 3 | 1 | no | — |
| 67 | #3197 | — | 6 | 1 | no | — |
| 68 | #3121 | — | 6 | 1 | no | — |
| 69 | #3028 | — | 3 | 1 | no | — |
| 70 | #3028 | — | 3 | 1 | no | — |
| 71 | #3028 | — | 3 | 1 | no | — |
| 72 | #3028 | — | 6 | 1 | no | — |
| 73 | #3028 | — | 6 | 1 | no | — |
| 74 | #3028 | — | 6 | 2 | no | — |
| 75 | #3028 | — | 6 | 1 | no | — |
| 76 | #3027 | C2×D3 | 1 | 1 | yes | characteristic |
| 77 | #3025 | — | 3 | 1 | no | — |
| 78 | #3025 | — | 3 | 1 | no | — |
| 79 | #3025 | — | 6 | 1 | no | — |
| 80 | #3025 | — | 6 | 1 | no | — |
| 81 | #3025 | — | 6 | 2 | no | — |
| 82 | #3025 | — | 6 | 1 | no | — |
| 83 | #3022 | — | 3 | 1 | no | — |
| 84 | #3022 | — | 6 | 1 | no | — |
| 85 | #3021 | — | 3 | 1 | no | — |
| 86 | #3011 | — | 3 | 1 | no | — |
| 87 | #3011 | — | 6 | 1 | no | — |
| 88 | #3010 | — | 3 | 1 | no | — |
| 89 | #3004 | — | 6 | 1 | no | — |
| 90 | #2978 | — | 3 | 1 | no | — |
| 91 | #2884 | — | 3 | 1 | no | — |
| 92 | #2884 | — | 6 | 1 | no | — |
| 93 | #2200 | — | 6 | 2 | no | — |
| 94 | #2199 | — | 6 | 1 | no | — |
| 95 | #2199 | — | 6 | 1 | no | — |
| 96 | #2198 | — | 6 | 2 | no | — |
| 97 | #2197 | — | 6 | 1 | no | — |
| 98 | #2197 | — | 6 | 1 | no | — |
| 99 | #2135 | — | 3 | 1 | no | — |
| 100 | #2129 | — | 3 | 1 | no | — |
| 101 | #2129 | — | 3 | 1 | no | — |
| 102 | #2128 | — | 3 | 1 | no | — |
| 103 | #2123 | — | 3 | 1 | no | — |
| 104 | #2122 | — | 3 | 1 | no | — |
| 105 | #2120 | — | 3 | 1 | no | — |
| 106 | #2120 | — | 3 | 1 | no | — |
| 107 | #1796 | — | 3 | 1 | no | — |
| 108 | #1796 | — | 3 | 1 | no | — |
| 109 | #1796 | — | 6 | 1 | no | — |
| 110 | #1794 | — | 3 | 1 | no | — |
| 111 | #1794 | — | 3 | 1 | no | — |
| 112 | #1794 | — | 6 | 1 | no | — |
| 113 | #1791 | — | 3 | 1 | no | — |
| 114 | #1791 | C2×D3 | 1 | 1 | yes | characteristic |
| 115 | #1395 | — | 3 | 1 | no | — |
| 116 | #1395 | — | 3 | 1 | no | — |
| 117 | #1391 | — | 3 | 1 | no | — |
| 118 | #1391 | — | 3 | 1 | no | — |
| 119 | #997 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | #994 | — | 8 | 1 | no | — |
| 121 | Q8×A4 | — | 4 | 1 | no | — |
| 122 | Q8×A4 | — | 8 | 1 | no | — |
| 123 | D4×A4 | — | 4 | 1 | no | — |
| 124 | GL(2,ℤ/4) | — | 8 | 1 | no | — |
| 125 | C2×SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 126 | #984 | — | 8 | 1 | no | — |
| 127 | C4×S4 | — | 4 | 1 | no | — |
| 128 | C4×S4 | — | 8 | 1 | no | — |
| 129 | C4×S4 | — | 8 | 1 | no | — |
| 130 | C4×S4 | — | 8 | 2 | no | — |
| 131 | A4⋊Q8 | — | 4 | 1 | no | — |
| 132 | A4⋊Q8 | — | 4 | 1 | no | — |
| 133 | A4⋊Q8 | — | 8 | 1 | no | — |
| 134 | A4⋊Q8 | — | 8 | 1 | no | — |
| 135 | A4⋊Q8 | — | 8 | 2 | no | — |
| 136 | #915 | — | 16 | 1 | no | — |
| 137 | C8×A4 | — | 4 | 1 | no | — |
| 138 | GU(2,𝔽3) | — | 8 | 1 | no | — |
| 139 | A4⋊C8 | — | 4 | 1 | no | — |
| 140 | #585 | — | 2 | 1 | no | — |
| 141 | #585 | — | 3 | 1 | no | — |
| 142 | #585 | — | 6 | 1 | no | — |
| 143 | #585 | — | 6 | 1 | no | — |
| 144 | #585 | — | 6 | 2 | no | — |
| 145 | #585 | — | 6 | 1 | no | — |
| 146 | #585 | C22×D3 | 1 | 1 | yes | characteristic |
| 147 | C2×2−1+4 | — | 3 | 1 | no | — |
| 148 | C2×2−1+4 | — | 6 | 1 | no | — |
| 149 | C2×2−1+4 | — | 6 | 1 | no | — |
| 150 | C2×2−1+4 | — | 12 | 1 | no | — |
| 151 | C23×Q8 | — | 3 | 1 | no | — |
| 152 | C2×#137 | — | 3 | 1 | no | — |
| 153 | C2×#137 | — | 6 | 1 | no | — |
| 154 | C2×#137 | — | 6 | 1 | no | — |
| 155 | C2×#137 | — | 6 | 1 | no | — |
| 156 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 157 | C22×Q16 | — | 3 | 1 | no | — |
| 158 | C22×SD16 | S4 | 1 | 1 | yes | characteristic, complemented |
| 159 | H(3,𝔽4) | — | 6 | 1 | no | — |
| 160 | #560 | — | 6 | 1 | no | — |
| 161 | #559 | — | 6 | 1 | no | — |
| 162 | #556 | — | 6 | 1 | no | — |
| 163 | #555 | — | 6 | 1 | no | — |
| 164 | #551 | — | 6 | 1 | no | — |
| 165 | D4×Q8 | — | 6 | 1 | no | — |
| 166 | D4×Q8 | — | 6 | 1 | no | — |
| 167 | D4×Q8 | — | 12 | 1 | no | — |
| 168 | D4×Q8 | — | 12 | 1 | no | — |
| 169 | D4×Q8 | — | 12 | 1 | no | — |
| 170 | D4×Q8 | — | 12 | 2 | no | — |
| 171 | #548 | — | 6 | 1 | no | — |
| 172 | #548 | — | 6 | 1 | no | — |
| 173 | #548 | — | 6 | 1 | no | — |
| 174 | #548 | — | 12 | 1 | no | — |
| 175 | #548 | — | 12 | 1 | no | — |
| 176 | #548 | — | 12 | 2 | no | — |
| 177 | #548 | — | 12 | 1 | no | — |
| 178 | #546 | — | 6 | 1 | no | — |
| 179 | #542 | — | 6 | 1 | no | — |
| 180 | #542 | — | 12 | 1 | no | — |
| 181 | #538 | — | 12 | 1 | no | — |
| 182 | #536 | — | 3 | 1 | no | — |
| 183 | #536 | — | 3 | 1 | no | — |
| 184 | #536 | — | 3 | 1 | no | — |
| 185 | #536 | — | 6 | 1 | no | — |
| 186 | #536 | — | 6 | 1 | no | — |
| 187 | #536 | — | 6 | 1 | no | — |
| 188 | #536 | — | 6 | 1 | no | — |
| 189 | #536 | — | 6 | 2 | no | — |
| 190 | #536 | — | 6 | 2 | no | — |
| 191 | #536 | — | 6 | 1 | no | — |
| 192 | #535 | — | 3 | 1 | no | — |
| 193 | #525 | — | 3 | 1 | no | — |
| 194 | #525 | — | 3 | 1 | no | — |
| 195 | #525 | — | 6 | 1 | no | — |
| 196 | #525 | — | 6 | 1 | no | — |
| 197 | #525 | — | 6 | 1 | no | — |
| 198 | #525 | — | 6 | 1 | no | — |
| 199 | #525 | — | 6 | 2 | no | — |
| 200 | #525 | — | 6 | 2 | no | — |
| 201 | #525 | — | 6 | 1 | no | — |
| 202 | #519 | — | 3 | 1 | no | — |
| 203 | #519 | — | 6 | 1 | no | — |
| 204 | #497 | — | 6 | 1 | no | — |
| 205 | #495 | — | 6 | 1 | no | — |
| 206 | #489 | — | 6 | 1 | no | — |
| 207 | #487 | — | 6 | 1 | no | — |
| 208 | #485 | — | 6 | 1 | no | — |
| 209 | #485 | — | 6 | 1 | no | — |
| 210 | #485 | — | 6 | 1 | no | — |
| 211 | #485 | — | 6 | 1 | no | — |
| 212 | #482 | — | 6 | 1 | no | — |
| 213 | #482 | — | 6 | 1 | no | — |
| 214 | #477 | — | 6 | 1 | no | — |
| 215 | #475 | — | 6 | 1 | no | — |
| 216 | #470 | — | 6 | 1 | no | — |
| 217 | #470 | — | 6 | 1 | no | — |
| 218 | #469 | — | 6 | 1 | no | — |
| 219 | #468 | — | 6 | 1 | no | — |
| 220 | #468 | — | 6 | 1 | no | — |
| 221 | #468 | — | 6 | 1 | no | — |
| 222 | #467 | — | 6 | 1 | no | — |
| 223 | #465 | — | 6 | 1 | no | — |
| 224 | #464 | — | 6 | 1 | no | — |
| 225 | #464 | — | 6 | 1 | no | — |
| 226 | #464 | — | 6 | 1 | no | — |
| 227 | #463 | — | 6 | 1 | no | — |
| 228 | #462 | — | 6 | 1 | no | — |
| 229 | #461 | — | 6 | 1 | no | — |
| 230 | #458 | — | 3 | 1 | no | — |
| 231 | #458 | — | 3 | 2 | no | — |
| 232 | #458 | — | 3 | 1 | no | — |
| 233 | #458 | — | 6 | 1 | no | — |
| 234 | #458 | — | 6 | 1 | no | — |
| 235 | #458 | — | 6 | 2 | no | — |
| 236 | #458 | — | 6 | 1 | no | — |
| 237 | #458 | — | 6 | 1 | no | — |
| 238 | #458 | — | 6 | 1 | no | — |
| 239 | #458 | — | 6 | 2 | no | — |
| 240 | #458 | — | 6 | 2 | no | — |
| 241 | #458 | — | 6 | 2 | no | — |
| 242 | #458 | — | 6 | 2 | no | — |
| 243 | #458 | — | 6 | 2 | no | — |
| 244 | #458 | — | 6 | 2 | no | — |
| 245 | #458 | — | 6 | 2 | no | — |
| 246 | #458 | — | 6 | 1 | no | — |
| 247 | #458 | — | 6 | 2 | no | — |
| 248 | #458 | — | 12 | 1 | no | — |
| 249 | B(4,𝔽2) | — | 2 | 1 | no | — |
| 250 | B(4,𝔽2) | — | 3 | 1 | no | — |
| 251 | B(4,𝔽2) | — | 3 | 2 | no | — |
| 252 | B(4,𝔽2) | — | 3 | 1 | no | — |
| 253 | B(4,𝔽2) | — | 6 | 1 | no | — |
| 254 | B(4,𝔽2) | — | 6 | 1 | no | — |
| 255 | B(4,𝔽2) | — | 6 | 2 | no | — |
| 256 | B(4,𝔽2) | — | 6 | 2 | no | — |
| 257 | B(4,𝔽2) | — | 6 | 1 | no | — |
| 258 | #456 | — | 12 | 1 | no | — |
| 259 | #456 | — | 12 | 1 | no | — |
| 260 | #456 | — | 12 | 1 | no | — |
| 261 | #455 | — | 6 | 1 | no | — |
| 262 | #455 | — | 6 | 1 | no | — |
| 263 | #455 | — | 12 | 1 | no | — |
| 264 | #455 | — | 12 | 1 | no | — |
| 265 | #454 | — | 12 | 1 | no | — |
| 266 | #453 | — | 6 | 2 | no | — |
| 267 | #452 | — | 6 | 1 | no | — |
| 268 | #452 | — | 6 | 1 | no | — |
| 269 | #452 | — | 6 | 1 | no | — |
| 270 | #452 | — | 12 | 2 | no | — |
| 271 | #451 | — | 6 | 1 | no | — |
| 272 | #451 | — | 6 | 1 | no | — |
| 273 | #451 | — | 6 | 1 | no | — |
| 274 | #451 | — | 6 | 1 | no | — |
| 275 | #451 | — | 6 | 1 | no | — |
| 276 | #451 | — | 6 | 1 | no | — |
| 277 | #451 | — | 12 | 2 | no | — |
| 278 | #450 | — | 6 | 1 | no | — |
| 279 | #449 | — | 6 | 1 | no | — |
| 280 | #449 | — | 6 | 1 | no | — |
| 281 | #449 | — | 6 | 1 | no | — |
| 282 | #448 | — | 6 | 1 | no | — |
| 283 | #448 | — | 6 | 1 | no | — |
| 284 | #448 | — | 6 | 1 | no | — |
| 285 | #448 | — | 6 | 1 | no | — |
| 286 | #448 | — | 6 | 1 | no | — |
| 287 | #441 | — | 6 | 1 | no | — |
| 288 | #440 | — | 6 | 1 | no | — |
| 289 | C4×Q16 | — | 6 | 1 | no | — |
| 290 | C4×SD16 | — | 6 | 1 | no | — |
| 291 | #436 | — | 6 | 1 | no | — |
| 292 | #436 | — | 6 | 1 | no | — |
| 293 | #435 | — | 6 | 1 | no | — |
| 294 | #435 | — | 6 | 1 | no | — |
| 295 | #433 | — | 6 | 1 | no | — |
| 296 | #421 | — | 6 | 1 | no | — |
| 297 | #421 | — | 6 | 1 | no | — |
| 298 | #421 | — | 6 | 1 | no | — |
| 299 | #421 | — | 6 | 1 | no | — |
| 300 | #419 | — | 3 | 1 | no | — |
| 301 | #419 | — | 3 | 1 | no | — |
| 302 | #419 | — | 6 | 1 | no | — |
| 303 | #419 | — | 6 | 1 | no | — |
| 304 | #419 | — | 6 | 1 | no | — |
| 305 | #416 | — | 3 | 1 | no | — |
| 306 | #416 | — | 3 | 1 | no | — |
| 307 | #416 | — | 6 | 1 | no | — |
| 308 | #413 | — | 3 | 1 | no | — |
| 309 | #413 | — | 3 | 1 | no | — |
| 310 | #413 | — | 6 | 1 | no | — |
| 311 | #410 | — | 3 | 1 | no | — |
| 312 | #410 | — | 3 | 1 | no | — |
| 313 | #410 | — | 3 | 1 | no | — |
| 314 | #410 | — | 3 | 1 | no | — |
| 315 | #410 | — | 6 | 1 | no | — |
| 316 | #410 | — | 6 | 1 | no | — |
| 317 | #410 | — | 6 | 2 | no | — |
| 318 | #410 | — | 6 | 1 | no | — |
| 319 | #410 | — | 6 | 1 | no | — |
| 320 | #410 | — | 6 | 1 | no | — |
| 321 | #410 | — | 6 | 1 | no | — |
| 322 | #410 | — | 6 | 1 | no | — |
| 323 | #410 | — | 6 | 2 | no | — |
| 324 | #410 | — | 6 | 2 | no | — |
| 325 | #410 | — | 6 | 2 | no | — |
| 326 | #410 | — | 6 | 2 | no | — |
| 327 | #410 | — | 6 | 1 | no | — |
| 328 | #408 | — | 3 | 1 | no | — |
| 329 | #408 | — | 3 | 1 | no | — |
| 330 | #408 | — | 6 | 1 | no | — |
| 331 | #407 | — | 6 | 1 | no | — |
| 332 | #356 | — | 12 | 1 | no | — |
| 333 | #354 | — | 6 | 1 | no | — |
| 334 | #354 | — | 6 | 1 | no | — |
| 335 | #354 | — | 12 | 1 | no | — |
| 336 | #353 | — | 6 | 2 | no | — |
| 337 | #352 | — | 6 | 2 | no | — |
| 338 | #352 | — | 6 | 1 | no | — |
| 339 | #352 | — | 6 | 1 | no | — |
| 340 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 341 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 342 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 343 | AΣL(1,𝔽16) | — | 6 | 1 | no | — |
| 344 | C22×A4 | — | 8 | 1 | no | — |
| 345 | C2×S4 | — | 4 | 1 | no | — |
| 346 | C2×S4 | — | 8 | 1 | no | — |
| 347 | D3×Q8 | — | 16 | 1 | no | — |
| 348 | #237 | — | 16 | 1 | no | — |
| 349 | #41⋊C3 | — | 8 | 1 | no | — |
| 350 | #41⋊C3 | — | 16 | 1 | no | — |
| 351 | C4×A4 | — | 4 | 1 | no | — |
| 352 | C4×A4 | — | 8 | 1 | no | — |
| 353 | C4×A4 | — | 8 | 1 | no | — |
| 354 | C4×A4 | — | 8 | 2 | no | — |
| 355 | SL(2,ℤ/4) | — | 4 | 1 | no | — |
| 356 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 357 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 358 | SL(2,ℤ/4) | — | 8 | 1 | no | — |
| 359 | SL(2,ℤ/4) | — | 8 | 2 | no | — |
| 360 | #226 | — | 16 | 1 | no | — |
| 361 | C3×SD16 | — | 16 | 1 | no | — |
| 362 | #216 | — | 16 | 1 | no | — |
| 363 | #214 | — | 16 | 1 | no | — |
| 364 | Dic12 | — | 16 | 1 | no | — |
| 365 | ΓL(1,𝔽25) | — | 16 | 1 | no | — |
| 366 | 2−1+4 | — | 6 | 1 | no | — |
| 367 | 2−1+4 | — | 6 | 1 | no | — |
| 368 | 2−1+4 | — | 6 | 1 | no | — |
| 369 | 2−1+4 | — | 6 | 1 | no | — |
| 370 | 2−1+4 | — | 12 | 1 | no | — |
| 371 | 2−1+4 | — | 12 | 1 | no | — |
| 372 | 2−1+4 | — | 12 | 1 | no | — |
| 373 | 2−1+4 | — | 12 | 2 | no | — |
| 374 | 2−1+4 | — | 12 | 1 | no | — |
| 375 | 2−1+4 | — | 12 | 1 | no | — |
| 376 | 2−1+4 | — | 12 | 2 | no | — |
| 377 | 2−1+4 | — | 12 | 2 | no | — |
| 378 | 2−1+4 | — | 12 | 2 | no | — |
| 379 | 2−1+4 | — | 12 | 1 | no | — |
| 380 | 2−1+4 | — | 12 | 1 | no | — |
| 381 | 2−1+4 | — | 12 | 1 | no | — |
| 382 | H(5,𝔽2) | — | 2 | 1 | no | — |
| 383 | H(5,𝔽2) | — | 3 | 1 | no | — |
| 384 | H(5,𝔽2) | — | 3 | 2 | no | — |
| 385 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 386 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 387 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 388 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 389 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 390 | H(5,𝔽2) | — | 6 | 1 | no | — |
| 391 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 392 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 393 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 394 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 395 | H(5,𝔽2) | D3×D4 | 1 | 1 | yes | characteristic |
| 396 | C2×#41 | — | 3 | 1 | no | — |
| 397 | C2×#41 | — | 3 | 1 | no | — |
| 398 | C2×#41 | — | 3 | 1 | no | — |
| 399 | C2×#41 | — | 3 | 1 | no | — |
| 400 | C2×#41 | — | 6 | 1 | no | — |
| 401 | C2×#41 | — | 6 | 1 | no | — |
| 402 | C2×#41 | — | 6 | 1 | no | — |
| 403 | C2×#41 | — | 6 | 2 | no | — |
| 404 | C2×#41 | — | 6 | 2 | no | — |
| 405 | C2×#41 | — | 6 | 1 | no | — |
| 406 | C2×#41 | — | 6 | 1 | no | — |
| 407 | C2×#41 | — | 6 | 1 | no | — |
| 408 | C2×#41 | — | 6 | 1 | no | — |
| 409 | C2×#41 | — | 6 | 1 | no | — |
| 410 | C2×#41 | — | 6 | 1 | no | — |
| 411 | C2×#41 | — | 6 | 2 | no | — |
| 412 | C2×#41 | — | 6 | 2 | no | — |
| 413 | C2×#41 | — | 6 | 1 | no | — |
| 414 | C2×#41 | — | 12 | 1 | no | — |
| 415 | C2×#41 | — | 12 | 2 | no | — |
| 416 | C2×#41 | — | 12 | 2 | no | — |
| 417 | C2×#41 | — | 12 | 2 | no | — |
| 418 | C2×#41 | — | 12 | 2 | no | — |
| 419 | C2×#41 | — | 12 | 2 | no | — |
| 420 | C2×#41 | — | 12 | 1 | no | — |
| 421 | C2×#41 | — | 12 | 1 | no | — |
| 422 | C22×Q8 | — | 2 | 1 | no | — |
| 423 | C22×Q8 | — | 3 | 1 | no | — |
| 424 | C22×Q8 | — | 3 | 1 | no | — |
| 425 | C22×Q8 | — | 3 | 1 | no | — |
| 426 | C22×Q8 | — | 3 | 1 | no | — |
| 427 | C22×Q8 | — | 6 | 1 | no | — |
| 428 | C22×Q8 | — | 6 | 1 | no | — |
| 429 | C22×Q8 | — | 6 | 1 | no | — |
| 430 | C22×Q8 | — | 6 | 2 | no | — |
| 431 | C22×Q8 | — | 6 | 1 | no | — |
| 432 | C22×Q8 | — | 6 | 1 | no | — |
| 433 | C22×Q8 | — | 6 | 2 | no | — |
| 434 | C22×Q8 | — | 12 | 1 | no | — |
| 435 | C22×Q8 | — | 12 | 2 | no | — |
| 436 | C22×Q8 | — | 12 | 1 | no | — |
| 437 | C22×Q8 | — | 12 | 1 | no | — |
| 438 | C22×Q8 | C2×S4 | 1 | 1 | yes | characteristic |
| 439 | C22×D4 | C2×S4 | 1 | 1 | yes | characteristic |
| 440 | C23×C4 | — | 3 | 1 | no | — |
| 441 | C23×C4 | — | 6 | 1 | no | — |
| 442 | #137 | — | 12 | 1 | no | — |
| 443 | #137 | — | 12 | 1 | no | — |
| 444 | #137 | — | 12 | 1 | no | — |
| 445 | #137 | — | 12 | 1 | no | — |
| 446 | #137 | — | 12 | 1 | no | — |
| 447 | #137 | — | 12 | 1 | no | — |
| 448 | #137 | — | 24 | 1 | no | — |
| 449 | #137 | — | 24 | 1 | no | — |
| 450 | #137 | — | 24 | 2 | no | — |
| 451 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 452 | C2×Q16 | — | 6 | 1 | no | — |
| 453 | C2×Q16 | — | 6 | 1 | no | — |
| 454 | C2×Q16 | — | 6 | 1 | no | — |
| 455 | C2×Q16 | — | 6 | 1 | no | — |
| 456 | C2×Q16 | — | 6 | 1 | no | — |
| 457 | C2×Q16 | — | 12 | 2 | no | — |
| 458 | C2×Q16 | — | 12 | 1 | no | — |
| 459 | C2×SD16 | — | 6 | 1 | no | — |
| 460 | C2×SD16 | — | 6 | 1 | no | — |
| 461 | C2×SD16 | — | 6 | 1 | no | — |
| 462 | C2×SD16 | — | 6 | 1 | no | — |
| 463 | C2×SD16 | — | 6 | 1 | no | — |
| 464 | C2×SD16 | — | 6 | 1 | no | — |
| 465 | C2×SD16 | — | 12 | 1 | no | — |
| 466 | C2×D8 | — | 6 | 1 | no | — |
| 467 | C2×M16 | — | 3 | 1 | no | — |
| 468 | C2×M16 | — | 3 | 1 | no | — |
| 469 | C2×M16 | — | 6 | 1 | no | — |
| 470 | C2×M16 | — | 6 | 1 | no | — |
| 471 | C2×M16 | — | 6 | 1 | no | — |
| 472 | C22×C8 | — | 3 | 1 | no | — |
| 473 | C22×C8 | C2×S4 | 1 | 1 | yes | characteristic |
| 474 | C4⋊Q8 | — | 6 | 1 | no | — |
| 475 | C4⋊Q8 | — | 6 | 1 | no | — |
| 476 | C4⋊Q8 | — | 6 | 1 | no | — |
| 477 | C4⋊Q8 | — | 6 | 1 | no | — |
| 478 | C4⋊Q8 | — | 12 | 1 | no | — |
| 479 | C4⋊Q8 | — | 12 | 1 | no | — |
| 480 | C4⋊Q8 | — | 12 | 1 | no | — |
| 481 | C4⋊Q8 | — | 12 | 2 | no | — |
| 482 | C4⋊Q8 | — | 12 | 1 | no | — |
| 483 | C4⋊Q8 | — | 12 | 2 | no | — |
| 484 | C4⋊Q8 | — | 12 | 1 | no | — |
| 485 | #127 | — | 6 | 1 | no | — |
| 486 | #126 | — | 12 | 1 | no | — |
| 487 | #126 | — | 12 | 1 | no | — |
| 488 | #126 | — | 12 | 1 | no | — |
| 489 | #124 | — | 6 | 1 | no | — |
| 490 | #124 | — | 6 | 1 | no | — |
| 491 | #124 | — | 6 | 1 | no | — |
| 492 | #124 | — | 6 | 1 | no | — |
| 493 | #124 | — | 6 | 1 | no | — |
| 494 | #124 | — | 12 | 1 | no | — |
| 495 | #124 | — | 12 | 1 | no | — |
| 496 | #124 | — | 12 | 1 | no | — |
| 497 | #124 | — | 12 | 1 | no | — |
| 498 | #124 | — | 12 | 1 | no | — |
| 499 | #124 | — | 12 | 1 | no | — |
| 500 | #124 | — | 12 | 1 | no | — |
| 501 | #124 | — | 12 | 1 | no | — |
| 502 | #124 | — | 12 | 2 | no | — |
| 503 | #124 | — | 12 | 1 | no | — |
| 504 | #124 | — | 12 | 2 | no | — |
| 505 | #124 | — | 12 | 1 | no | — |
| 506 | #123 | — | 3 | 1 | no | — |
| 507 | #123 | — | 3 | 1 | no | — |
| 508 | #123 | — | 6 | 1 | no | — |
| 509 | #123 | — | 6 | 1 | no | — |
| 510 | #123 | — | 6 | 1 | no | — |
| 511 | #123 | — | 6 | 1 | no | — |
| 512 | #123 | — | 6 | 1 | no | — |
| 513 | #123 | — | 6 | 2 | no | — |
| 514 | #123 | — | 6 | 1 | no | — |
| 515 | #123 | — | 6 | 1 | no | — |
| 516 | #123 | — | 6 | 1 | no | — |
| 517 | #123 | — | 6 | 1 | no | — |
| 518 | #123 | — | 6 | 2 | no | — |
| 519 | #123 | — | 6 | 2 | no | — |
| 520 | #123 | — | 6 | 2 | no | — |
| 521 | #123 | — | 6 | 2 | no | — |
| 522 | #123 | — | 12 | 1 | no | — |
| 523 | #123 | — | 12 | 1 | no | — |
| 524 | #123 | — | 12 | 1 | no | — |
| 525 | #123 | — | 12 | 2 | no | — |
| 526 | C22⋊Q8 | — | 6 | 1 | no | — |
| 527 | C22⋊Q8 | — | 6 | 1 | no | — |
| 528 | C22⋊Q8 | — | 6 | 1 | no | — |
| 529 | C22⋊Q8 | — | 6 | 1 | no | — |
| 530 | C22⋊Q8 | — | 6 | 1 | no | — |
| 531 | C22⋊Q8 | — | 6 | 1 | no | — |
| 532 | C22⋊Q8 | — | 6 | 1 | no | — |
| 533 | C22⋊Q8 | — | 12 | 1 | no | — |
| 534 | C22⋊Q8 | — | 12 | 1 | no | — |
| 535 | C22⋊Q8 | — | 12 | 1 | no | — |
| 536 | C22⋊Q8 | — | 12 | 1 | no | — |
| 537 | C22⋊Q8 | — | 12 | 1 | no | — |
| 538 | C22⋊Q8 | — | 12 | 1 | no | — |
| 539 | C22⋊Q8 | — | 12 | 1 | no | — |
| 540 | C22⋊Q8 | — | 12 | 1 | no | — |
| 541 | C22⋊Q8 | — | 12 | 1 | no | — |
| 542 | C22⋊Q8 | — | 12 | 1 | no | — |
| 543 | C22⋊Q8 | — | 12 | 2 | no | — |
| 544 | C22⋊Q8 | — | 12 | 1 | no | — |
| 545 | C22⋊Q8 | — | 12 | 2 | no | — |
| 546 | C22⋊Q8 | — | 12 | 2 | no | — |
| 547 | C22⋊Q8 | — | 12 | 2 | no | — |
| 548 | C22⋊Q8 | — | 12 | 2 | no | — |
| 549 | C22⋊Q8 | — | 12 | 1 | no | — |
| 550 | C22⋊Q8 | — | 12 | 1 | no | — |
| 551 | C22⋊Q8 | — | 12 | 2 | no | — |
| 552 | C22⋊Q8 | — | 12 | 2 | no | — |
| 553 | C22⋊Q8 | — | 12 | 2 | no | — |
| 554 | #121 | — | 6 | 1 | no | — |
| 555 | #121 | — | 6 | 1 | no | — |
| 556 | #121 | — | 6 | 1 | no | — |
| 557 | #121 | — | 6 | 1 | no | — |
| 558 | #121 | — | 6 | 1 | no | — |
| 559 | #121 | — | 12 | 1 | no | — |
| 560 | #121 | — | 12 | 1 | no | — |
| 561 | #121 | — | 12 | 1 | no | — |
| 562 | #121 | — | 12 | 1 | no | — |
| 563 | #121 | — | 12 | 1 | no | — |
| 564 | #121 | — | 12 | 1 | no | — |
| 565 | #121 | — | 12 | 2 | no | — |
| 566 | #121 | — | 12 | 1 | no | — |
| 567 | #121 | — | 12 | 2 | no | — |
| 568 | #120 | — | 3 | 1 | no | — |
| 569 | #120 | — | 3 | 1 | no | — |
| 570 | #120 | — | 6 | 1 | no | — |
| 571 | #120 | — | 6 | 1 | no | — |
| 572 | #120 | — | 6 | 1 | no | — |
| 573 | #120 | — | 6 | 1 | no | — |
| 574 | #120 | — | 6 | 1 | no | — |
| 575 | #120 | — | 6 | 2 | no | — |
| 576 | #120 | — | 12 | 1 | no | — |
| 577 | #120 | — | 12 | 1 | no | — |
| 578 | C4×Q8 | — | 6 | 1 | no | — |
| 579 | C4×Q8 | — | 6 | 1 | no | — |
| 580 | C4×Q8 | — | 6 | 1 | no | — |
| 581 | C4×Q8 | — | 12 | 1 | no | — |
| 582 | C4×Q8 | — | 12 | 1 | no | — |
| 583 | C4×Q8 | — | 12 | 2 | no | — |
| 584 | C4×Q8 | — | 12 | 1 | no | — |
| 585 | C4×Q8 | — | 12 | 1 | no | — |
| 586 | C4×D4 | — | 6 | 1 | no | — |
| 587 | C4×D4 | — | 6 | 1 | no | — |
| 588 | C4×D4 | — | 6 | 1 | no | — |
| 589 | C4×D4 | — | 12 | 1 | no | — |
| 590 | C4×D4 | — | 12 | 1 | no | — |
| 591 | C4×D4 | — | 12 | 1 | no | — |
| 592 | C4×D4 | — | 12 | 1 | no | — |
| 593 | C4×D4 | — | 12 | 1 | no | — |
| 594 | C4×D4 | — | 12 | 1 | no | — |
| 595 | C4×D4 | — | 12 | 2 | no | — |
| 596 | C4×D4 | — | 12 | 1 | no | — |
| 597 | C4×D4 | — | 12 | 1 | no | — |
| 598 | C4×D4 | — | 12 | 1 | no | — |
| 599 | C4×D4 | — | 12 | 1 | no | — |
| 600 | C4×D4 | — | 12 | 2 | no | — |
| 601 | C4×D4 | — | 12 | 2 | no | — |
| 602 | C4×D4 | — | 12 | 2 | no | — |
| 603 | C4×D4 | — | 12 | 2 | no | — |
| 604 | #117 | — | 3 | 1 | no | — |
| 605 | #117 | — | 3 | 1 | no | — |
| 606 | #117 | — | 3 | 1 | no | — |
| 607 | #117 | — | 3 | 1 | no | — |
| 608 | #117 | — | 6 | 1 | no | — |
| 609 | #117 | — | 6 | 1 | no | — |
| 610 | #117 | — | 6 | 1 | no | — |
| 611 | #117 | — | 6 | 1 | no | — |
| 612 | #117 | — | 6 | 2 | no | — |
| 613 | #117 | — | 6 | 2 | no | — |
| 614 | #117 | — | 6 | 1 | no | — |
| 615 | #117 | — | 6 | 1 | no | — |
| 616 | #117 | — | 12 | 1 | no | — |
| 617 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 618 | #107 | — | 6 | 1 | no | — |
| 619 | #107 | — | 6 | 1 | no | — |
| 620 | #106 | — | 6 | 1 | no | — |
| 621 | #106 | — | 6 | 1 | no | — |
| 622 | C4⋊C8 | — | 6 | 1 | no | — |
| 623 | C4⋊C8 | — | 6 | 1 | no | — |
| 624 | #104 | — | 12 | 2 | no | — |
| 625 | #104 | — | 12 | 1 | no | — |
| 626 | #104 | — | 12 | 1 | no | — |
| 627 | #104 | — | 12 | 1 | no | — |
| 628 | #104 | — | 12 | 1 | no | — |
| 629 | #104 | — | 12 | 1 | no | — |
| 630 | #104 | — | 12 | 1 | no | — |
| 631 | #103 | — | 6 | 1 | no | — |
| 632 | #103 | — | 6 | 1 | no | — |
| 633 | #103 | — | 6 | 1 | no | — |
| 634 | #103 | — | 6 | 1 | no | — |
| 635 | #103 | — | 6 | 1 | no | — |
| 636 | #103 | — | 6 | 1 | no | — |
| 637 | #103 | — | 6 | 1 | no | — |
| 638 | #103 | — | 6 | 1 | no | — |
| 639 | #103 | — | 6 | 1 | no | — |
| 640 | #103 | — | 6 | 1 | no | — |
| 641 | #103 | — | 6 | 1 | no | — |
| 642 | #103 | — | 6 | 1 | no | — |
| 643 | #103 | — | 12 | 1 | no | — |
| 644 | #103 | — | 12 | 2 | no | — |
| 645 | #102 | — | 6 | 1 | no | — |
| 646 | #102 | — | 6 | 1 | no | — |
| 647 | #102 | — | 6 | 1 | no | — |
| 648 | #102 | — | 6 | 1 | no | — |
| 649 | #102 | — | 12 | 1 | no | — |
| 650 | #101 | — | 6 | 1 | no | — |
| 651 | #101 | — | 6 | 1 | no | — |
| 652 | #101 | — | 12 | 1 | no | — |
| 653 | #100 | — | 6 | 1 | no | — |
| 654 | #100 | — | 6 | 1 | no | — |
| 655 | #100 | — | 12 | 1 | no | — |
| 656 | #99 | — | 3 | 1 | no | — |
| 657 | #99 | — | 3 | 1 | no | — |
| 658 | #99 | — | 3 | 2 | no | — |
| 659 | #99 | — | 6 | 2 | no | — |
| 660 | #99 | — | 6 | 1 | no | — |
| 661 | #99 | — | 6 | 1 | no | — |
| 662 | #99 | — | 6 | 1 | no | — |
| 663 | #99 | — | 6 | 1 | no | — |
| 664 | #99 | — | 6 | 2 | no | — |
| 665 | #99 | — | 6 | 1 | no | — |
| 666 | #99 | — | 6 | 1 | no | — |
| 667 | #99 | — | 6 | 2 | no | — |
| 668 | #99 | — | 6 | 2 | no | — |
| 669 | #99 | — | 6 | 2 | no | — |
| 670 | #99 | — | 6 | 2 | no | — |
| 671 | #99 | — | 6 | 2 | no | — |
| 672 | #99 | — | 6 | 2 | no | — |
| 673 | #99 | — | 6 | 1 | no | — |
| 674 | #99 | — | 6 | 1 | no | — |
| 675 | #99 | — | 6 | 1 | no | — |
| 676 | #99 | — | 6 | 1 | no | — |
| 677 | #99 | — | 12 | 2 | no | — |
| 678 | C22⋊C8 | — | 6 | 1 | no | — |
| 679 | C22⋊C8 | — | 6 | 1 | no | — |
| 680 | C22⋊C8 | — | 6 | 1 | no | — |
| 681 | C22⋊C8 | — | 6 | 1 | no | — |
| 682 | C22⋊C8 | — | 6 | 1 | no | — |
| 683 | C22⋊C8 | — | 6 | 1 | no | — |
| 684 | C22⋊C8 | — | 12 | 2 | no | — |
| 685 | #97 | — | 6 | 1 | no | — |
| 686 | C4×C8 | — | 6 | 1 | no | — |
| 687 | C2×A4 | — | 4 | 1 | no | — |
| 688 | C2×A4 | — | 8 | 1 | no | — |
| 689 | C2×A4 | — | 16 | 1 | no | — |
| 690 | S4 | — | 8 | 1 | no | — |
| 691 | S4 | — | 8 | 2 | no | — |
| 692 | C3×Q8 | — | 16 | 1 | no | — |
| 693 | C3×D4 | — | 16 | 1 | no | — |
| 694 | #67 | — | 32 | 1 | no | — |
| 695 | C2×Dic3 | — | 32 | 1 | no | — |
| 696 | C4×D3 | — | 16 | 1 | no | — |
| 697 | C4×D3 | — | 32 | 1 | no | — |
| 698 | Dic6 | — | 16 | 1 | no | — |
| 699 | Dic6 | — | 16 | 1 | no | — |
| 700 | Dic6 | — | 32 | 1 | no | — |
| 701 | SL(2,𝔽3) | — | 8 | 1 | no | — |
| 702 | C3×C8 | — | 16 | 1 | no | — |
| 703 | C3⋊C8 | — | 16 | 1 | no | — |
| 704 | C24 | — | 2 | 1 | no | — |
| 705 | C24 | — | 3 | 1 | no | — |
| 706 | #41 | — | 2 | 1 | no | — |
| 707 | #41 | — | 4 | 1 | no | — |
| 708 | #41 | — | 6 | 1 | no | — |
| 709 | #41 | — | 6 | 2 | no | — |
| 710 | #41 | — | 6 | 1 | no | — |
| 711 | #41 | — | 6 | 1 | no | — |
| 712 | #41 | — | 6 | 1 | no | — |
| 713 | #41 | — | 6 | 1 | no | — |
| 714 | #41 | — | 12 | 1 | no | — |
| 715 | #41 | — | 12 | 1 | no | — |
| 716 | #41 | — | 12 | 1 | no | — |
| 717 | #41 | — | 12 | 1 | no | — |
| 718 | #41 | — | 12 | 1 | no | — |
| 719 | #41 | — | 12 | 1 | no | — |
| 720 | #41 | — | 12 | 2 | no | — |
| 721 | #41 | — | 12 | 1 | no | — |
| 722 | #41 | — | 12 | 1 | no | — |
| 723 | #41 | — | 12 | 1 | no | — |
| 724 | #41 | — | 12 | 2 | no | — |
| 725 | #41 | — | 12 | 2 | no | — |
| 726 | #41 | — | 12 | 2 | no | — |
| 727 | #41 | — | 12 | 2 | no | — |
| 728 | #41 | — | 12 | 2 | no | — |
| 729 | #41 | — | 12 | 2 | no | — |
| 730 | #41 | — | 12 | 1 | no | — |
| 731 | #41 | — | 12 | 1 | no | — |
| 732 | #41 | — | 12 | 1 | no | — |
| 733 | #41 | — | 12 | 1 | no | — |
| 734 | #41 | — | 12 | 1 | no | — |
| 735 | #41 | — | 12 | 2 | no | — |
| 736 | #41 | — | 12 | 2 | no | — |
| 737 | #41 | — | 12 | 2 | no | — |
| 738 | #41 | — | 12 | 2 | no | — |
| 739 | #41 | — | 12 | 2 | no | — |
| 740 | #41 | — | 12 | 2 | no | — |
| 741 | #41 | — | 12 | 2 | no | — |
| 742 | #41 | — | 12 | 1 | no | — |
| 743 | #41 | — | 12 | 1 | no | — |
| 744 | #41 | — | 12 | 2 | no | — |
| 745 | #41 | — | 12 | 2 | no | — |
| 746 | #41 | — | 12 | 2 | no | — |
| 747 | #41 | — | 12 | 1 | no | — |
| 748 | #41 | — | 12 | 2 | no | — |
| 749 | #41 | — | 12 | 2 | no | — |
| 750 | #41 | — | 12 | 1 | no | — |
| 751 | #41 | — | 24 | 1 | no | — |
| 752 | #41 | — | 24 | 1 | no | — |
| 753 | C2×Q8 | — | 3 | 1 | no | — |
| 754 | C2×Q8 | — | 3 | 1 | no | — |
| 755 | C2×Q8 | — | 3 | 1 | no | — |
| 756 | C2×Q8 | — | 3 | 1 | no | — |
| 757 | C2×Q8 | — | 6 | 1 | no | — |
| 758 | C2×Q8 | — | 6 | 1 | no | — |
| 759 | C2×Q8 | — | 6 | 1 | no | — |
| 760 | C2×Q8 | — | 6 | 1 | no | — |
| 761 | C2×Q8 | — | 6 | 1 | no | — |
| 762 | C2×Q8 | — | 6 | 1 | no | — |
| 763 | C2×Q8 | — | 6 | 1 | no | — |
| 764 | C2×Q8 | — | 6 | 2 | no | — |
| 765 | C2×Q8 | — | 6 | 1 | no | — |
| 766 | C2×Q8 | — | 6 | 1 | no | — |
| 767 | C2×Q8 | — | 6 | 1 | no | — |
| 768 | C2×Q8 | — | 6 | 2 | no | — |
| 769 | C2×Q8 | — | 6 | 1 | no | — |
| 770 | C2×Q8 | — | 6 | 1 | no | — |
| 771 | C2×Q8 | — | 6 | 2 | no | — |
| 772 | C2×Q8 | — | 6 | 1 | no | — |
| 773 | C2×Q8 | — | 6 | 2 | no | — |
| 774 | C2×Q8 | — | 12 | 1 | no | — |
| 775 | C2×Q8 | — | 12 | 1 | no | — |
| 776 | C2×Q8 | — | 12 | 1 | no | — |
| 777 | C2×Q8 | — | 12 | 2 | no | — |
| 778 | C2×Q8 | — | 12 | 1 | no | — |
| 779 | C2×Q8 | — | 12 | 1 | no | — |
| 780 | C2×Q8 | — | 12 | 2 | no | — |
| 781 | C2×Q8 | — | 12 | 2 | no | — |
| 782 | C2×Q8 | — | 12 | 1 | no | — |
| 783 | C2×Q8 | — | 12 | 1 | no | — |
| 784 | C2×Q8 | — | 12 | 1 | no | — |
| 785 | C2×Q8 | — | 12 | 1 | no | — |
| 786 | C2×Q8 | — | 12 | 2 | no | — |
| 787 | C2×Q8 | — | 12 | 1 | no | — |
| 788 | C2×Q8 | — | 12 | 2 | no | — |
| 789 | C2×Q8 | — | 12 | 2 | no | — |
| 790 | C2×Q8 | — | 12 | 2 | no | — |
| 791 | C2×Q8 | — | 12 | 2 | no | — |
| 792 | C2×Q8 | — | 12 | 1 | no | — |
| 793 | C2×Q8 | — | 12 | 1 | no | — |
| 794 | C2×Q8 | — | 24 | 1 | no | — |
| 795 | C2×Q8 | — | 24 | 1 | no | — |
| 796 | C2×Q8 | — | 24 | 2 | no | — |
| 797 | C2×Q8 | — | 24 | 2 | no | — |
| 798 | C2×D4 | — | 3 | 1 | no | — |
| 799 | C2×D4 | — | 3 | 1 | no | — |
| 800 | C2×D4 | — | 3 | 1 | no | — |
| 801 | C2×D4 | — | 3 | 1 | no | — |
| 802 | C2×D4 | — | 6 | 1 | no | — |
| 803 | C2×D4 | — | 6 | 1 | no | — |
| 804 | C2×D4 | — | 6 | 1 | no | — |
| 805 | C2×D4 | — | 6 | 1 | no | — |
| 806 | C2×D4 | — | 6 | 1 | no | — |
| 807 | C2×D4 | — | 6 | 1 | no | — |
| 808 | C2×D4 | — | 6 | 1 | no | — |
| 809 | C2×D4 | — | 6 | 2 | no | — |
| 810 | C2×D4 | — | 6 | 1 | no | — |
| 811 | C2×D4 | — | 6 | 1 | no | — |
| 812 | C2×D4 | — | 6 | 2 | no | — |
| 813 | C2×D4 | — | 6 | 2 | no | — |
| 814 | C2×D4 | — | 6 | 1 | no | — |
| 815 | C2×D4 | — | 6 | 2 | no | — |
| 816 | C2×D4 | — | 6 | 1 | no | — |
| 817 | C2×D4 | — | 6 | 1 | no | — |
| 818 | C2×D4 | — | 6 | 1 | no | — |
| 819 | C2×D4 | — | 12 | 1 | no | — |
| 820 | C2×D4 | — | 12 | 2 | no | — |
| 821 | C2×D4 | — | 12 | 1 | no | — |
| 822 | C2×D4 | — | 12 | 1 | no | — |
| 823 | C2×D4 | — | 12 | 2 | no | — |
| 824 | C2×D4 | — | 12 | 2 | no | — |
| 825 | C2×D4 | — | 12 | 2 | no | — |
| 826 | C2×D4 | — | 12 | 2 | no | — |
| 827 | C2×D4 | — | 12 | 1 | no | — |
| 828 | C2×D4 | — | 12 | 1 | no | — |
| 829 | C2×D4 | — | 12 | 1 | no | — |
| 830 | C2×D4 | — | 12 | 2 | no | — |
| 831 | C2×D4 | — | 12 | 1 | no | — |
| 832 | C2×D4 | — | 12 | 1 | no | — |
| 833 | C2×D4 | — | 12 | 1 | no | — |
| 834 | C2×D4 | — | 12 | 1 | no | — |
| 835 | C22×C4 | — | 2 | 2 | no | — |
| 836 | C22×C4 | — | 2 | 1 | no | — |
| 837 | C22×C4 | — | 2 | 1 | no | — |
| 838 | C22×C4 | — | 3 | 1 | no | — |
| 839 | C22×C4 | — | 3 | 1 | no | — |
| 840 | C22×C4 | — | 3 | 1 | no | — |
| 841 | C22×C4 | — | 6 | 1 | no | — |
| 842 | C22×C4 | — | 6 | 1 | no | — |
| 843 | C22×C4 | — | 6 | 1 | no | — |
| 844 | C22×C4 | — | 6 | 1 | no | — |
| 845 | C22×C4 | — | 6 | 1 | no | — |
| 846 | C22×C4 | — | 6 | 1 | no | — |
| 847 | C22×C4 | — | 6 | 2 | no | — |
| 848 | C22×C4 | — | 6 | 1 | no | — |
| 849 | C22×C4 | — | 6 | 1 | no | — |
| 850 | C22×C4 | — | 6 | 2 | no | — |
| 851 | C22×C4 | — | 6 | 2 | no | — |
| 852 | C22×C4 | — | 6 | 2 | no | — |
| 853 | C22×C4 | — | 6 | 2 | no | — |
| 854 | C22×C4 | — | 6 | 1 | no | — |
| 855 | C22×C4 | — | 6 | 1 | no | — |
| 856 | C22×C4 | — | 12 | 1 | no | — |
| 857 | C22×C4 | — | 12 | 1 | no | — |
| 858 | C22×C4 | — | 12 | 1 | no | — |
| 859 | C22×C4 | — | 12 | 1 | no | — |
| 860 | C22×C4 | — | 12 | 2 | no | — |
| 861 | C22×C4 | — | 12 | 2 | no | — |
| 862 | C22×C4 | — | 12 | 1 | no | — |
| 863 | C22×C4 | — | 12 | 1 | no | — |
| 864 | C22×C4 | — | 12 | 2 | no | — |
| 865 | C22×C4 | C22×S4 | 1 | 1 | yes | characteristic |
| 866 | Q16 | — | 12 | 2 | no | — |
| 867 | Q16 | — | 12 | 1 | no | — |
| 868 | Q16 | — | 12 | 1 | no | — |
| 869 | Q16 | — | 24 | 1 | no | — |
| 870 | Q16 | — | 24 | 1 | no | — |
| 871 | Q16 | — | 24 | 1 | no | — |
| 872 | Q16 | — | 24 | 1 | no | — |
| 873 | Q16 | — | 24 | 1 | no | — |
| 874 | SD16 | — | 4 | 1 | no | — |
| 875 | SD16 | — | 12 | 1 | no | — |
| 876 | SD16 | — | 12 | 2 | no | — |
| 877 | SD16 | — | 24 | 1 | no | — |
| 878 | SD16 | — | 24 | 1 | no | — |
| 879 | SD16 | — | 24 | 1 | no | — |
| 880 | SD16 | — | 24 | 1 | no | — |
| 881 | SD16 | — | 24 | 1 | no | — |
| 882 | D8 | — | 24 | 1 | no | — |
| 883 | M16 | — | 12 | 1 | no | — |
| 884 | M16 | — | 12 | 1 | no | — |
| 885 | M16 | — | 12 | 1 | no | — |
| 886 | M16 | — | 12 | 1 | no | — |
| 887 | M16 | — | 24 | 1 | no | — |
| 888 | M16 | — | 24 | 1 | no | — |
| 889 | C2×C8 | — | 6 | 1 | no | — |
| 890 | C2×C8 | — | 6 | 1 | no | — |
| 891 | C2×C8 | — | 6 | 1 | no | — |
| 892 | C2×C8 | — | 6 | 1 | no | — |
| 893 | C2×C8 | — | 12 | 1 | no | — |
| 894 | C2×C8 | — | 12 | 1 | no | — |
| 895 | C4⋊C4 | — | 6 | 1 | no | — |
| 896 | C4⋊C4 | — | 6 | 1 | no | — |
| 897 | C4⋊C4 | — | 6 | 1 | no | — |
| 898 | C4⋊C4 | — | 6 | 1 | no | — |
| 899 | C4⋊C4 | — | 6 | 1 | no | — |
| 900 | C4⋊C4 | — | 6 | 1 | no | — |
| 901 | C4⋊C4 | — | 12 | 1 | no | — |
| 902 | C4⋊C4 | — | 12 | 1 | no | — |
| 903 | C4⋊C4 | — | 12 | 1 | no | — |
| 904 | C4⋊C4 | — | 12 | 1 | no | — |
| 905 | C4⋊C4 | — | 12 | 1 | no | — |
| 906 | C4⋊C4 | — | 12 | 1 | no | — |
| 907 | C4⋊C4 | — | 12 | 1 | no | — |
| 908 | C4⋊C4 | — | 12 | 1 | no | — |
| 909 | C4⋊C4 | — | 12 | 1 | no | — |
| 910 | C4⋊C4 | — | 12 | 2 | no | — |
| 911 | C4⋊C4 | — | 12 | 1 | no | — |
| 912 | C4⋊C4 | — | 12 | 2 | no | — |
| 913 | C4⋊C4 | — | 12 | 1 | no | — |
| 914 | C4⋊C4 | — | 12 | 1 | no | — |
| 915 | C4⋊C4 | — | 12 | 1 | no | — |
| 916 | C4⋊C4 | — | 12 | 1 | no | — |
| 917 | C4⋊C4 | — | 12 | 2 | no | — |
| 918 | C4⋊C4 | — | 12 | 2 | no | — |
| 919 | C4⋊C4 | — | 12 | 2 | no | — |
| 920 | C4⋊C4 | — | 12 | 2 | no | — |
| 921 | C4⋊C4 | — | 12 | 1 | no | — |
| 922 | C4⋊C4 | — | 12 | 2 | no | — |
| 923 | C4⋊C4 | — | 12 | 1 | no | — |
| 924 | C4⋊C4 | — | 12 | 1 | no | — |
| 925 | C4⋊C4 | — | 24 | 2 | no | — |
| 926 | C22⋊C4 | — | 3 | 1 | no | — |
| 927 | C22⋊C4 | — | 3 | 1 | no | — |
| 928 | C22⋊C4 | — | 6 | 1 | no | — |
| 929 | C22⋊C4 | — | 6 | 1 | no | — |
| 930 | C22⋊C4 | — | 6 | 1 | no | — |
| 931 | C22⋊C4 | — | 6 | 1 | no | — |
| 932 | C22⋊C4 | — | 6 | 1 | no | — |
| 933 | C22⋊C4 | — | 6 | 1 | no | — |
| 934 | C22⋊C4 | — | 6 | 2 | no | — |
| 935 | C22⋊C4 | — | 6 | 1 | no | — |
| 936 | C22⋊C4 | — | 6 | 1 | no | — |
| 937 | C22⋊C4 | — | 6 | 1 | no | — |
| 938 | C22⋊C4 | — | 12 | 1 | no | — |
| 939 | C22⋊C4 | — | 12 | 1 | no | — |
| 940 | C22⋊C4 | — | 12 | 1 | no | — |
| 941 | C22⋊C4 | — | 12 | 1 | no | — |
| 942 | C22⋊C4 | — | 12 | 1 | no | — |
| 943 | C22⋊C4 | — | 12 | 1 | no | — |
| 944 | C22⋊C4 | — | 12 | 1 | no | — |
| 945 | C22⋊C4 | — | 12 | 1 | no | — |
| 946 | C22⋊C4 | — | 12 | 1 | no | — |
| 947 | C22⋊C4 | — | 12 | 1 | no | — |
| 948 | C22⋊C4 | — | 12 | 2 | no | — |
| 949 | C22⋊C4 | — | 12 | 1 | no | — |
| 950 | C22⋊C4 | — | 12 | 1 | no | — |
| 951 | C22⋊C4 | — | 12 | 1 | no | — |
| 952 | C22⋊C4 | — | 12 | 2 | no | — |
| 953 | C22⋊C4 | — | 12 | 1 | no | — |
| 954 | C22⋊C4 | — | 12 | 1 | no | — |
| 955 | C22⋊C4 | — | 12 | 1 | no | — |
| 956 | C22⋊C4 | — | 12 | 1 | no | — |
| 957 | C22⋊C4 | — | 12 | 1 | no | — |
| 958 | C22⋊C4 | — | 12 | 2 | no | — |
| 959 | C22⋊C4 | — | 12 | 2 | no | — |
| 960 | C22⋊C4 | — | 12 | 2 | no | — |
| 961 | C22⋊C4 | — | 12 | 2 | no | — |
| 962 | C22⋊C4 | — | 12 | 1 | no | — |
| 963 | C22⋊C4 | — | 12 | 1 | no | — |
| 964 | C22⋊C4 | — | 12 | 1 | no | — |
| 965 | C22⋊C4 | — | 24 | 2 | no | — |
| 966 | C42 | — | 6 | 1 | no | — |
| 967 | C42 | — | 6 | 1 | no | — |
| 968 | C42 | — | 6 | 1 | no | — |
| 969 | C42 | — | 6 | 1 | no | — |
| 970 | C42 | — | 12 | 1 | no | — |
| 971 | C42 | — | 12 | 1 | no | — |
| 972 | C42 | — | 12 | 1 | no | — |
| 973 | C42 | — | 12 | 2 | no | — |
| 974 | C42 | — | 12 | 1 | no | — |
| 975 | C42 | — | 12 | 2 | no | — |
| 976 | C42 | — | 12 | 1 | no | — |
| 977 | C42 | — | 12 | 1 | no | — |
| 978 | C42 | — | 12 | 1 | no | — |
| 979 | C22×C3 | — | 32 | 1 | no | — |
| 980 | C2×D3 | — | 16 | 1 | no | — |
| 981 | A4 | — | 4 | 1 | no | — |
| 982 | A4 | — | 8 | 1 | no | — |
| 983 | C3×C4 | — | 16 | 1 | no | — |
| 984 | C3×C4 | — | 32 | 1 | no | — |
| 985 | Dic3 | — | 16 | 1 | no | — |
| 986 | Dic3 | — | 32 | 1 | no | — |
| 987 | Dic3 | — | 32 | 1 | no | — |
| 988 | C23 | — | 2 | 1 | no | — |
| 989 | C23 | — | 3 | 1 | no | — |
| 990 | C23 | — | 3 | 1 | no | — |
| 991 | C23 | — | 6 | 1 | no | — |
| 992 | C23 | — | 6 | 1 | no | — |
| 993 | C23 | — | 6 | 1 | no | — |
| 994 | C23 | — | 6 | 2 | no | — |
| 995 | C23 | — | 6 | 2 | no | — |
| 996 | C23 | — | 12 | 1 | no | — |
| 997 | C23 | — | 12 | 1 | no | — |
| 998 | C23 | — | 16 | 1 | no | — |
| 999 | C23 | — | 24 | 1 | no | — |
| 1000 | C23 | D4×S4 | 1 | 1 | yes | characteristic |
| 1001 | Q8 | — | 2 | 1 | no | — |
| 1002 | Q8 | — | 3 | 2 | no | — |
| 1003 | Q8 | — | 3 | 1 | no | — |
| 1004 | Q8 | — | 6 | 1 | no | — |
| 1005 | Q8 | — | 6 | 2 | no | — |
| 1006 | Q8 | — | 6 | 1 | no | — |
| 1007 | Q8 | — | 6 | 1 | no | — |
| 1008 | Q8 | — | 6 | 2 | no | — |
| 1009 | Q8 | — | 6 | 1 | no | — |
| 1010 | Q8 | — | 12 | 1 | no | — |
| 1011 | Q8 | — | 12 | 1 | no | — |
| 1012 | Q8 | — | 12 | 1 | no | — |
| 1013 | Q8 | — | 12 | 1 | no | — |
| 1014 | Q8 | — | 12 | 2 | no | — |
| 1015 | Q8 | — | 12 | 1 | no | — |
| 1016 | Q8 | — | 12 | 1 | no | — |
| 1017 | Q8 | — | 12 | 1 | no | — |
| 1018 | Q8 | — | 24 | 1 | no | — |
| 1019 | Q8 | — | 24 | 2 | no | — |
| 1020 | Q8 | — | 24 | 1 | no | — |
| 1021 | Q8 | — | 24 | 1 | no | — |
| 1022 | Q8 | — | 24 | 1 | no | — |
| 1023 | Q8 | — | 48 | 1 | no | — |
| 1024 | Q8 | #1020⋊C2 | 1 | 1 | yes | characteristic |
| 1025 | D4 | — | 4 | 1 | no | — |
| 1026 | D4 | — | 6 | 1 | no | — |
| 1027 | D4 | — | 6 | 1 | no | — |
| 1028 | D4 | — | 6 | 1 | no | — |
| 1029 | D4 | — | 6 | 1 | no | — |
| 1030 | D4 | — | 12 | 1 | no | — |
| 1031 | D4 | — | 12 | 1 | no | — |
| 1032 | D4 | — | 12 | 1 | no | — |
| 1033 | D4 | — | 12 | 1 | no | — |
| 1034 | D4 | — | 12 | 1 | no | — |
| 1035 | D4 | — | 12 | 2 | no | — |
| 1036 | D4 | — | 12 | 1 | no | — |
| 1037 | D4 | — | 12 | 2 | no | — |
| 1038 | D4 | — | 12 | 2 | no | — |
| 1039 | D4 | — | 12 | 2 | no | — |
| 1040 | D4 | — | 12 | 1 | no | — |
| 1041 | D4 | — | 12 | 1 | no | — |
| 1042 | D4 | — | 12 | 1 | no | — |
| 1043 | D4 | — | 24 | 1 | no | — |
| 1044 | D4 | — | 24 | 1 | no | — |
| 1045 | D4 | — | 24 | 2 | no | — |
| 1046 | D4 | — | 24 | 2 | no | — |
| 1047 | D4 | — | 24 | 2 | no | — |
| 1048 | D4 | — | 24 | 4 | no | — |
| 1049 | D4 | — | 48 | 1 | no | — |
| 1050 | D4 | — | 48 | 1 | no | — |
| 1051 | D4 | — | 48 | 1 | no | — |
| 1052 | D4 | — | 48 | 1 | no | — |
| 1053 | C2×C4 | — | 3 | 1 | no | — |
| 1054 | C2×C4 | — | 3 | 1 | no | — |
| 1055 | C2×C4 | — | 3 | 1 | no | — |
| 1056 | C2×C4 | — | 3 | 1 | no | — |
| 1057 | C2×C4 | — | 6 | 1 | no | — |
| 1058 | C2×C4 | — | 6 | 2 | no | — |
| 1059 | C2×C4 | — | 6 | 1 | no | — |
| 1060 | C2×C4 | — | 6 | 1 | no | — |
| 1061 | C2×C4 | — | 6 | 1 | no | — |
| 1062 | C2×C4 | — | 6 | 2 | no | — |
| 1063 | C2×C4 | — | 6 | 1 | no | — |
| 1064 | C2×C4 | — | 6 | 1 | no | — |
| 1065 | C2×C4 | — | 6 | 1 | no | — |
| 1066 | C2×C4 | — | 6 | 1 | no | — |
| 1067 | C2×C4 | — | 6 | 2 | no | — |
| 1068 | C2×C4 | — | 6 | 1 | no | — |
| 1069 | C2×C4 | — | 6 | 2 | no | — |
| 1070 | C2×C4 | — | 6 | 1 | no | — |
| 1071 | C2×C4 | — | 6 | 1 | no | — |
| 1072 | C2×C4 | — | 6 | 1 | no | — |
| 1073 | C2×C4 | — | 12 | 1 | no | — |
| 1074 | C2×C4 | — | 12 | 2 | no | — |
| 1075 | C2×C4 | — | 12 | 1 | no | — |
| 1076 | C2×C4 | — | 12 | 2 | no | — |
| 1077 | C2×C4 | — | 12 | 1 | no | — |
| 1078 | C2×C4 | — | 12 | 2 | no | — |
| 1079 | C2×C4 | — | 12 | 2 | no | — |
| 1080 | C2×C4 | — | 12 | 2 | no | — |
| 1081 | C2×C4 | — | 12 | 1 | no | — |
| 1082 | C2×C4 | — | 12 | 1 | no | — |
| 1083 | C2×C4 | — | 12 | 1 | no | — |
| 1084 | C2×C4 | — | 12 | 1 | no | — |
| 1085 | C2×C4 | — | 12 | 1 | no | — |
| 1086 | C2×C4 | — | 12 | 1 | no | — |
| 1087 | C2×C4 | — | 12 | 1 | no | — |
| 1088 | C2×C4 | — | 12 | 1 | no | — |
| 1089 | C2×C4 | — | 12 | 2 | no | — |
| 1090 | C2×C4 | — | 12 | 1 | no | — |
| 1091 | C2×C4 | — | 12 | 1 | no | — |
| 1092 | C2×C4 | — | 12 | 2 | no | — |
| 1093 | C2×C4 | — | 24 | 1 | no | — |
| 1094 | C2×C4 | — | 24 | 1 | no | — |
| 1095 | C2×C4 | — | 24 | 2 | no | — |
| 1096 | C2×C4 | — | 24 | 1 | no | — |
| 1097 | C2×C4 | — | 24 | 1 | no | — |
| 1098 | C2×C4 | — | 24 | 1 | no | — |
| 1099 | C2×C4 | — | 48 | 1 | no | — |
| 1100 | C2×C4 | — | 48 | 1 | no | — |
| 1101 | C8 | — | 4 | 1 | no | — |
| 1102 | C8 | — | 12 | 1 | no | — |
| 1103 | C8 | — | 12 | 1 | no | — |
| 1104 | C8 | — | 12 | 1 | no | — |
| 1105 | C8 | — | 24 | 1 | no | — |
| 1106 | C2×C3 | — | 16 | 1 | no | — |
| 1107 | C2×C3 | — | 64 | 1 | no | — |
| 1108 | D3 | — | 32 | 1 | no | — |
| 1109 | C22 | — | 3 | 1 | no | — |
| 1110 | C22 | — | 4 | 1 | no | — |
| 1111 | C22 | — | 6 | 1 | no | — |
| 1112 | C22 | — | 6 | 1 | no | — |
| 1113 | C22 | — | 8 | 1 | no | — |
| 1114 | C22 | — | 8 | 1 | no | — |
| 1115 | C22 | — | 12 | 1 | no | — |
| 1116 | C22 | — | 12 | 1 | no | — |
| 1117 | C22 | — | 12 | 1 | no | — |
| 1118 | C22 | — | 12 | 1 | no | — |
| 1119 | C22 | — | 12 | 2 | no | — |
| 1120 | C22 | — | 12 | 1 | no | — |
| 1121 | C22 | — | 12 | 1 | no | — |
| 1122 | C22 | — | 24 | 1 | no | — |
| 1123 | C22 | — | 24 | 1 | no | — |
| 1124 | C22 | — | 24 | 1 | no | — |
| 1125 | C22 | — | 24 | 1 | no | — |
| 1126 | C22 | — | 24 | 2 | no | — |
| 1127 | C22 | — | 24 | 2 | no | — |
| 1128 | C22 | — | 24 | 1 | no | — |
| 1129 | C4 | — | 2 | 1 | no | — |
| 1130 | C4 | — | 3 | 1 | no | — |
| 1131 | C4 | — | 6 | 1 | no | — |
| 1132 | C4 | — | 6 | 1 | no | — |
| 1133 | C4 | — | 6 | 2 | no | — |
| 1134 | C4 | — | 6 | 1 | no | — |
| 1135 | C4 | — | 12 | 1 | no | — |
| 1136 | C4 | — | 12 | 1 | no | — |
| 1137 | C4 | — | 12 | 1 | no | — |
| 1138 | C4 | — | 24 | 1 | no | — |
| 1139 | C4 | — | 24 | 1 | no | — |
| 1140 | C4 | — | 24 | 1 | no | — |
| 1141 | C4 | — | 24 | 1 | no | — |
| 1142 | C4 | — | 24 | 1 | no | — |
| 1143 | C4 | — | 24 | 2 | no | — |
| 1144 | C4 | — | 24 | 1 | no | — |
| 1145 | C4 | — | 24 | 1 | no | — |
| 1146 | C4 | — | 48 | 1 | no | — |
| 1147 | C4 | C2×#1020⋊C2 | 1 | 1 | yes | characteristic |
| 1148 | C3 | — | 16 | 1 | no | Sylow |
| 1149 | C2 | — | 6 | 1 | no | — |
| 1150 | C2 | — | 12 | 1 | no | — |
| 1151 | C2 | — | 12 | 1 | no | — |
| 1152 | C2 | — | 16 | 1 | no | — |
| 1153 | C2 | — | 24 | 1 | no | — |
| 1154 | C2 | — | 24 | 1 | no | — |
| 1155 | C2 | #11713200 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #11713200 |
| commutator, cosocle | #5950 | C23 |
| Frattini | C22×C4 | C22×S4 |
| Fitting | #32895 | D3 |
| hypercenter | Q8 | #1020⋊C2 |
| hypocenter | #997 | C2×D4 |
| LCS | G ▷ #5950 ▷ #997 | |
| UCS | C1 ◁ C2 ◁ C4 ◁ Q8 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11715840 | C2 | semidirect |
| 2. #11715714 | C2 | semidirect |
| 3. #11714178 | C2 | semidirect |
| 4. #11711649 | C2 | semidirect |
| 5. #11711640 | C2 | semidirect |
| 6. #11711589 | C2 | semidirect |
| 7. #32895⋊C3 | C2 | semidirect |
| 26. #32895 | D3 | semidirect |
| 158. C22×SD16 | S4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11715840 | 2 |
| #11715714 | 2 |
| #11714178 | 2 |
| #11711649 | 2 |
| #11711640 | 2 |
| #11711589 | 2 |
| #32895⋊C3 | 2 |
| #499826 | 3 |
| #85461 | 4 |