Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
31729 conjugacy classes of subgroups.
The subgroup lattice has 653 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #63037 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #63032 | C2 | 1 | 12 | yes | maximal, complemented |
| 3 | #63016 | C2 | 1 | 18 | yes | maximal, complemented |
| 4 | #63000 | C2 | 1 | 12 | yes | maximal, complemented |
| 5 | Q8×2−1+4 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #62945 | C2 | 1 | 36 | yes | maximal, complemented |
| 7 | #62943 | C2 | 1 | 12 | yes | maximal, complemented |
| 8 | #62837 | C2 | 1 | 9 | yes | maximal, complemented |
| 9 | #62833 | C2 | 1 | 9 | yes | maximal, complemented |
| 10 | #62805 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | C2×#3503 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #412 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #3563 | C22 | 1 | 144 | yes | complemented |
| 14 | #3563 | C22 | 1 | 72 | yes | complemented |
| 15 | #3556 | C22 | 1 | 18 | yes | complemented |
| 16 | #3555 | C22 | 1 | 72 | yes | complemented |
| 17 | #3555 | C22 | 1 | 72 | yes | complemented |
| 18 | #3552 | C22 | 1 | 72 | yes | complemented |
| 19 | #3552 | C22 | 1 | 144 | yes | complemented |
| 20 | #3552 | C22 | 1 | 72 | yes | complemented |
| 21 | #3550 | C22 | 1 | 18 | yes | complemented |
| 22 | #3550 | C22 | 1 | 36 | yes | complemented |
| 23 | #3544 | C22 | 1 | 36 | yes | complemented |
| 24 | #3544 | C22 | 1 | 72 | yes | complemented |
| 25 | #3538 | C22 | 1 | 36 | yes | complemented |
| 26 | #3538 | C22 | 1 | 144 | yes | complemented |
| 27 | #3523 | C22 | 1 | 72 | yes | complemented |
| 28 | #3523 | C22 | 1 | 12 | yes | complemented |
| 29 | #3522 | C22 | 1 | 24 | yes | complemented |
| 30 | #3520 | C22 | 1 | 144 | yes | complemented |
| 31 | #3520 | C22 | 1 | 36 | yes | complemented |
| 32 | #3518 | C22 | 1 | 12 | yes | complemented |
| 33 | #3516 | C22 | 1 | 48 | yes | complemented |
| 34 | #3515 | C22 | 1 | 72 | yes | complemented |
| 35 | #3515 | C22 | 1 | 36 | yes | complemented |
| 36 | #3511 | C22 | 1 | 36 | yes | complemented |
| 37 | #3511 | C22 | 1 | 18 | yes | complemented |
| 38 | #3509 | C22 | 1 | 18 | yes | complemented |
| 39 | #3509 | C22 | 1 | 18 | yes | complemented |
| 40 | #3509 | C22 | 1 | 18 | yes | complemented |
| 41 | #3507 | C22 | 1 | 36 | yes | complemented |
| 42 | #3503 | C22 | 1 | 12 | yes | — |
| 43 | #3503 | C22 | 1 | 6 | yes | — |
| 44 | #3503 | C22 | 1 | 72 | yes | complemented |
| 45 | #3503 | C22 | 1 | 36 | yes | complemented |
| 46 | #3503 | C22 | 1 | 36 | yes | complemented |
| 47 | #3503 | C22 | 1 | 12 | yes | complemented |
| 48 | #3503 | C22 | 1 | 36 | yes | complemented |
| 49 | #3503 | C22 | 1 | 12 | yes | complemented |
| 50 | #3503 | C22 | 1 | 36 | yes | complemented |
| 51 | #3503 | C22 | 1 | 36 | yes | complemented |
| 52 | #3502 | C22 | 1 | 24 | yes | complemented |
| 53 | #3502 | C22 | 1 | 36 | yes | complemented |
| 54 | #3499 | C22 | 1 | 2 | yes | — |
| 55 | #3499 | C22 | 1 | 18 | yes | complemented |
| 56 | #3499 | C22 | 1 | 6 | yes | complemented |
| 57 | #3495 | C22 | 1 | 72 | yes | complemented |
| 58 | #3495 | C22 | 1 | 36 | yes | complemented |
| 59 | #3492 | C22 | 1 | 72 | yes | complemented |
| 60 | #3489 | C22 | 1 | 12 | yes | — |
| 61 | #3486 | C22 | 1 | 36 | yes | complemented |
| 62 | #3483 | C22 | 1 | 1 | yes | characteristic |
| 63 | #3482 | C22 | 1 | 6 | yes | — |
| 64 | #3482 | C22 | 1 | 36 | yes | complemented |
| 65 | #3482 | C22 | 1 | 12 | yes | complemented |
| 66 | #3481 | C22 | 1 | 9 | yes | — |
| 67 | #3481 | C22 | 1 | 36 | yes | complemented |
| 68 | #3480 | C22 | 1 | 6 | yes | — |
| 69 | Q8×#41 | C22 | 1 | 2 | yes | — |
| 70 | Q8×#41 | C22 | 1 | 24 | yes | complemented |
| 71 | Q8×#41 | C22 | 1 | 12 | yes | complemented |
| 72 | C2×Q82 | C22 | 1 | 4 | yes | complemented |
| 73 | C2×Q82 | C22 | 1 | 12 | yes | complemented |
| 74 | C2×#557 | C22 | 1 | 12 | yes | complemented |
| 75 | #3475 | C22 | 1 | 18 | yes | — |
| 76 | #3475 | C22 | 1 | 36 | yes | complemented |
| 77 | C2×#554 | C22 | 1 | 36 | yes | complemented |
| 78 | D4×#41 | C22 | 1 | 6 | yes | — |
| 79 | C2×D4×Q8 | C22 | 1 | 36 | yes | complemented |
| 80 | #3461 | C22 | 1 | 36 | yes | complemented |
| 81 | C2×#544 | C22 | 1 | 36 | yes | complemented |
| 82 | #3444 | C22 | 1 | 9 | yes | — |
| 83 | #3444 | C22 | 1 | 9 | yes | complemented |
| 84 | C2×#533 | C22 | 1 | 18 | yes | complemented |
| 85 | C22×C4⋊Q8 | C22 | 1 | 9 | yes | complemented |
| 86 | C4×2−1+4 | C22 | 1 | 12 | yes | — |
| 87 | C2×#520 | C22 | 1 | 12 | yes | — |
| 88 | C2×C4×#41 | C22 | 1 | 6 | yes | — |
| 89 | C2×2−1+4 | C23 | 1 | 4 | yes | — |
| 90 | C2×2−1+4 | C23 | 1 | 12 | yes | — |
| 91 | C22×#41 | C23 | 1 | 6 | yes | — |
| 92 | C23×Q8 | C23 | 1 | 18 | yes | — |
| 93 | #564 | C23 | 1 | 72 | yes | — |
| 94 | #563 | C23 | 1 | 72 | yes | — |
| 95 | #563 | C23 | 1 | 144 | yes | — |
| 96 | #563 | C23 | 1 | 288 | yes | — |
| 97 | #559 | C23 | 1 | 9 | yes | — |
| 98 | #559 | C23 | 1 | 36 | yes | — |
| 99 | Q82 | C23 | 1 | 1 | yes | characteristic |
| 100 | Q82 | C23 | 1 | 24 | yes | — |
| 101 | Q82 | C23 | 1 | 12 | yes | — |
| 102 | Q82 | C23 | 1 | 36 | yes | — |
| 103 | Q82 | C23 | 1 | 72 | yes | — |
| 104 | Q82 | C23 | 1 | 72 | yes | — |
| 105 | #557 | C23 | 1 | 12 | yes | — |
| 106 | #557 | C23 | 1 | 24 | yes | — |
| 107 | #557 | C23 | 1 | 72 | yes | — |
| 108 | #557 | C23 | 1 | 72 | yes | — |
| 109 | #557 | C23 | 1 | 6 | yes | — |
| 110 | #557 | C23 | 1 | 72 | yes | — |
| 111 | #557 | C23 | 1 | 36 | yes | — |
| 112 | #557 | C23 | 1 | 36 | yes | — |
| 113 | #557 | C23 | 1 | 72 | yes | — |
| 114 | #557 | C23 | 1 | 144 | yes | — |
| 115 | #556 | C23 | 1 | 18 | yes | — |
| 116 | #556 | C23 | 1 | 36 | yes | — |
| 117 | #556 | C23 | 1 | 72 | yes | — |
| 118 | #556 | C23 | 1 | 36 | yes | — |
| 119 | #556 | C23 | 1 | 36 | yes | — |
| 120 | #556 | C23 | 1 | 72 | yes | — |
| 121 | #556 | C23 | 1 | 144 | yes | — |
| 122 | #555 | C23 | 1 | 9 | yes | — |
| 123 | #555 | C23 | 1 | 36 | yes | — |
| 124 | #554 | C23 | 1 | 36 | yes | — |
| 125 | #554 | C23 | 1 | 72 | yes | — |
| 126 | #554 | C23 | 1 | 144 | yes | — |
| 127 | #554 | C23 | 1 | 72 | yes | — |
| 128 | #554 | C23 | 1 | 72 | yes | — |
| 129 | #554 | C23 | 1 | 144 | yes | — |
| 130 | #554 | C23 | 1 | 18 | yes | — |
| 131 | #554 | C23 | 1 | 144 | yes | — |
| 132 | #554 | C23 | 1 | 72 | yes | — |
| 133 | #554 | C23 | 1 | 36 | yes | — |
| 134 | #553 | C23 | 1 | 36 | yes | — |
| 135 | #553 | C23 | 1 | 72 | yes | — |
| 136 | #553 | C23 | 1 | 144 | yes | — |
| 137 | #552 | C23 | 1 | 36 | yes | — |
| 138 | #552 | C23 | 1 | 72 | yes | — |
| 139 | #552 | C23 | 1 | 72 | yes | — |
| 140 | #552 | C23 | 1 | 144 | yes | — |
| 141 | #552 | C23 | 1 | 72 | yes | — |
| 142 | #552 | C23 | 1 | 72 | yes | — |
| 143 | #552 | C23 | 1 | 144 | yes | — |
| 144 | #552 | C23 | 1 | 144 | yes | — |
| 145 | #552 | C23 | 1 | 288 | yes | — |
| 146 | #551 | C23 | 1 | 36 | yes | — |
| 147 | #551 | C23 | 1 | 144 | yes | — |
| 148 | #551 | C23 | 1 | 144 | yes | — |
| 149 | #550 | C23 | 1 | 6 | yes | — |
| 150 | D4×Q8 | C23 | 1 | 36 | yes | — |
| 151 | D4×Q8 | C23 | 1 | 144 | yes | — |
| 152 | D4×Q8 | C23 | 1 | 72 | yes | — |
| 153 | D4×Q8 | C23 | 1 | 72 | yes | — |
| 154 | D4×Q8 | C23 | 1 | 144 | yes | — |
| 155 | D4×Q8 | C23 | 1 | 72 | yes | — |
| 156 | D4×Q8 | C23 | 1 | 6 | yes | — |
| 157 | D4×Q8 | C23 | 1 | 24 | yes | — |
| 158 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 159 | D4×Q8 | C23 | 1 | 4 | yes | — |
| 160 | D4×Q8 | C23 | 1 | 144 | yes | — |
| 161 | D4×Q8 | C23 | 1 | 24 | yes | — |
| 162 | #548 | C23 | 1 | 12 | yes | — |
| 163 | #548 | C23 | 1 | 72 | yes | — |
| 164 | #548 | C23 | 1 | 24 | yes | — |
| 165 | #548 | C23 | 1 | 144 | yes | — |
| 166 | #547 | C23 | 1 | 18 | yes | — |
| 167 | #547 | C23 | 1 | 12 | yes | — |
| 168 | #547 | C23 | 1 | 12 | yes | — |
| 169 | #547 | C23 | 1 | 72 | yes | — |
| 170 | #547 | C23 | 1 | 36 | yes | — |
| 171 | #547 | C23 | 1 | 72 | yes | — |
| 172 | #547 | C23 | 1 | 144 | yes | — |
| 173 | #546 | C23 | 1 | 36 | yes | — |
| 174 | #546 | C23 | 1 | 72 | yes | — |
| 175 | D42 | C23 | 1 | 9 | yes | — |
| 176 | #544 | C23 | 1 | 36 | yes | — |
| 177 | #544 | C23 | 1 | 72 | yes | — |
| 178 | #544 | C23 | 1 | 144 | yes | — |
| 179 | #544 | C23 | 1 | 72 | yes | — |
| 180 | #544 | C23 | 1 | 144 | yes | — |
| 181 | #544 | C23 | 1 | 72 | yes | — |
| 182 | #544 | C23 | 1 | 144 | yes | — |
| 183 | #544 | C23 | 1 | 144 | yes | — |
| 184 | #542 | C23 | 1 | 72 | yes | — |
| 185 | #542 | C23 | 1 | 72 | yes | — |
| 186 | #542 | C23 | 1 | 144 | yes | — |
| 187 | #542 | C23 | 1 | 144 | yes | — |
| 188 | #541 | C23 | 1 | 72 | yes | — |
| 189 | #541 | C23 | 1 | 72 | yes | — |
| 190 | #541 | C23 | 1 | 144 | yes | — |
| 191 | #541 | C23 | 1 | 72 | yes | — |
| 192 | #541 | C23 | 1 | 72 | yes | — |
| 193 | #541 | C23 | 1 | 288 | yes | — |
| 194 | #539 | C23 | 1 | 144 | yes | — |
| 195 | #539 | C23 | 1 | 288 | yes | — |
| 196 | #539 | C23 | 1 | 144 | yes | — |
| 197 | #537 | C23 | 1 | 36 | yes | — |
| 198 | #536 | C23 | 1 | 12 | yes | — |
| 199 | #536 | C23 | 1 | 36 | yes | — |
| 200 | #536 | C23 | 1 | 36 | yes | — |
| 201 | #536 | C23 | 1 | 36 | yes | — |
| 202 | #536 | C23 | 1 | 144 | yes | — |
| 203 | #536 | C23 | 1 | 72 | yes | — |
| 204 | #533 | C23 | 1 | 18 | yes | — |
| 205 | #533 | C23 | 1 | 36 | yes | — |
| 206 | #533 | C23 | 1 | 36 | yes | — |
| 207 | #533 | C23 | 1 | 36 | yes | — |
| 208 | #533 | C23 | 1 | 36 | yes | — |
| 209 | #533 | C23 | 1 | 36 | yes | — |
| 210 | #533 | C23 | 1 | 36 | yes | — |
| 211 | #533 | C23 | 1 | 36 | yes | — |
| 212 | #533 | C23 | 1 | 18 | yes | — |
| 213 | #533 | C23 | 1 | 9 | yes | — |
| 214 | #533 | C23 | 1 | 9 | yes | — |
| 215 | #533 | C23 | 1 | 72 | yes | — |
| 216 | #533 | C23 | 1 | 144 | yes | — |
| 217 | #533 | C23 | 1 | 72 | yes | — |
| 218 | #532 | C23 | 1 | 18 | yes | — |
| 219 | #532 | C23 | 1 | 9 | yes | — |
| 220 | #532 | C23 | 1 | 6 | yes | — |
| 221 | #532 | C23 | 1 | 9 | yes | — |
| 222 | #532 | C23 | 1 | 36 | yes | — |
| 223 | C2×C4⋊Q8 | C23 | 1 | 18 | yes | — |
| 224 | C2×C4⋊Q8 | C23 | 1 | 36 | yes | — |
| 225 | C2×C4⋊Q8 | C23 | 1 | 36 | yes | — |
| 226 | C2×C4⋊Q8 | C23 | 1 | 36 | yes | — |
| 227 | C2×C4⋊Q8 | C23 | 1 | 18 | yes | — |
| 228 | C2×C4⋊Q8 | C23 | 1 | 18 | yes | — |
| 229 | C2×C4⋊Q8 | C23 | 1 | 36 | yes | — |
| 230 | C2×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 231 | C2×C4⋊Q8 | C23 | 1 | 72 | yes | — |
| 232 | C2×C4⋊Q8 | C23 | 1 | 36 | yes | — |
| 233 | #529 | C23 | 1 | 36 | yes | — |
| 234 | #529 | C23 | 1 | 36 | yes | — |
| 235 | #529 | C23 | 1 | 36 | yes | — |
| 236 | #529 | C23 | 1 | 36 | yes | — |
| 237 | #529 | C23 | 1 | 36 | yes | — |
| 238 | #529 | C23 | 1 | 36 | yes | — |
| 239 | #529 | C23 | 1 | 72 | yes | — |
| 240 | #529 | C23 | 1 | 144 | yes | — |
| 241 | #529 | C23 | 1 | 144 | yes | — |
| 242 | C2×#125 | C23 | 1 | 36 | yes | — |
| 243 | C2×#125 | C23 | 1 | 72 | yes | — |
| 244 | #525 | C23 | 1 | 36 | yes | — |
| 245 | #525 | C23 | 1 | 18 | yes | — |
| 246 | #525 | C23 | 1 | 36 | yes | — |
| 247 | #525 | C23 | 1 | 18 | yes | — |
| 248 | #525 | C23 | 1 | 144 | yes | — |
| 249 | C2×C22⋊Q8 | C23 | 1 | 36 | yes | — |
| 250 | C2×C22⋊Q8 | C23 | 1 | 36 | yes | — |
| 251 | C2×C22⋊Q8 | C23 | 1 | 144 | yes | — |
| 252 | #520 | C23 | 1 | 12 | yes | — |
| 253 | #520 | C23 | 1 | 72 | yes | — |
| 254 | #520 | C23 | 1 | 72 | yes | — |
| 255 | #520 | C23 | 1 | 24 | yes | — |
| 256 | #520 | C23 | 1 | 36 | yes | — |
| 257 | #520 | C23 | 1 | 72 | yes | — |
| 258 | #519 | C23 | 1 | 36 | yes | — |
| 259 | #519 | C23 | 1 | 24 | yes | — |
| 260 | #519 | C23 | 1 | 36 | yes | — |
| 261 | C4×#41 | C23 | 1 | 2 | yes | — |
| 262 | C4×#41 | C23 | 1 | 6 | yes | — |
| 263 | C4×#41 | C23 | 1 | 18 | yes | — |
| 264 | C4×#41 | C23 | 1 | 18 | yes | — |
| 265 | C4×#41 | C23 | 1 | 18 | yes | — |
| 266 | C4×#41 | C23 | 1 | 6 | yes | — |
| 267 | C4×#41 | C23 | 1 | 18 | yes | — |
| 268 | C4×#41 | C23 | 1 | 6 | yes | — |
| 269 | C4×#41 | C23 | 1 | 36 | yes | — |
| 270 | C4×#41 | C23 | 1 | 72 | yes | — |
| 271 | C4×#41 | C23 | 1 | 6 | yes | — |
| 272 | C4×#41 | C23 | 1 | 18 | yes | — |
| 273 | C2×C4×Q8 | C23 | 1 | 6 | yes | — |
| 274 | C2×C4×Q8 | C23 | 1 | 6 | yes | — |
| 275 | C2×C4×Q8 | C23 | 1 | 24 | yes | — |
| 276 | C2×C4×Q8 | C23 | 1 | 36 | yes | — |
| 277 | C2×C4×Q8 | C23 | 1 | 24 | yes | — |
| 278 | C2×C4×Q8 | C23 | 1 | 36 | yes | — |
| 279 | C2×C4×D4 | C23 | 1 | 18 | yes | — |
| 280 | C2×C4×D4 | C23 | 1 | 18 | yes | — |
| 281 | C2×C4×D4 | C23 | 1 | 72 | yes | — |
| 282 | C2×#117 | C23 | 1 | 18 | yes | — |
| 283 | C2×#117 | C23 | 1 | 36 | yes | — |
| 284 | C22×C4⋊C4 | C23 | 1 | 36 | yes | — |
| 285 | C22×C42 | C23 | 1 | 9 | yes | — |
| 286 | 2−1+4 | — | 2 | 32 | no | — |
| 287 | 2−1+4 | — | 8 | 24 | no | — |
| 288 | C2×#41 | — | 2 | 48 | no | — |
| 289 | C2×#41 | C24 | 1 | 12 | yes | — |
| 290 | C2×#41 | C24 | 1 | 24 | yes | — |
| 291 | C2×#41 | C24 | 1 | 18 | yes | — |
| 292 | C2×#41 | C24 | 1 | 18 | yes | — |
| 293 | C2×#41 | C24 | 1 | 6 | yes | — |
| 294 | C2×#41 | C24 | 1 | 6 | yes | — |
| 295 | C2×#41 | C24 | 1 | 18 | yes | — |
| 296 | C2×#41 | C24 | 1 | 72 | yes | — |
| 297 | C2×#41 | C24 | 1 | 2 | yes | — |
| 298 | C22×Q8 | — | 8 | 36 | no | — |
| 299 | C22×Q8 | C24 | 1 | 6 | yes | — |
| 300 | C22×Q8 | C24 | 1 | 12 | yes | — |
| 301 | C22×Q8 | C24 | 1 | 8 | yes | — |
| 302 | C22×Q8 | C24 | 1 | 36 | yes | — |
| 303 | C22×Q8 | C24 | 1 | 36 | yes | — |
| 304 | C22×Q8 | C24 | 1 | 72 | yes | — |
| 305 | C22×Q8 | C24 | 1 | 24 | yes | — |
| 306 | C22×Q8 | C24 | 1 | 36 | yes | — |
| 307 | C22×D4 | C24 | 1 | 18 | yes | — |
| 308 | C23×C4 | C24 | 1 | 18 | yes | — |
| 309 | C23×C4 | C24 | 1 | 9 | yes | — |
| 310 | C23×C4 | C24 | 1 | 36 | yes | — |
| 311 | C4⋊Q8 | C24 | 1 | 9 | yes | — |
| 312 | C4⋊Q8 | C24 | 1 | 36 | yes | — |
| 313 | C4⋊Q8 | C24 | 1 | 36 | yes | — |
| 314 | C4⋊Q8 | C24 | 1 | 36 | yes | — |
| 315 | C4⋊Q8 | C24 | 1 | 36 | yes | — |
| 316 | C4⋊Q8 | C24 | 1 | 9 | yes | — |
| 317 | C4⋊Q8 | C24 | 1 | 36 | yes | — |
| 318 | C4⋊Q8 | C24 | 1 | 36 | yes | — |
| 319 | C4⋊Q8 | C24 | 1 | 72 | yes | — |
| 320 | C4⋊Q8 | C24 | 1 | 72 | yes | — |
| 321 | C4⋊Q8 | C24 | 1 | 72 | yes | — |
| 322 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 323 | C4⋊Q8 | C24 | 1 | 144 | yes | — |
| 324 | C4⋊Q8 | C24 | 1 | 72 | yes | — |
| 325 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 326 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 327 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 328 | C4⋊Q8 | C24 | 1 | 72 | yes | — |
| 329 | C4⋊Q8 | C24 | 1 | 288 | yes | — |
| 330 | C4⋊Q8 | C24 | 1 | 18 | yes | — |
| 331 | C4⋊Q8 | C24 | 1 | 72 | yes | — |
| 332 | #127 | C24 | 1 | 1 | yes | characteristic |
| 333 | #127 | C24 | 1 | 9 | yes | — |
| 334 | #126 | C24 | 1 | 72 | yes | — |
| 335 | #126 | C24 | 1 | 72 | yes | — |
| 336 | #126 | C24 | 1 | 144 | yes | — |
| 337 | #126 | C24 | 1 | 144 | yes | — |
| 338 | #126 | C24 | 1 | 288 | yes | — |
| 339 | #126 | C24 | 1 | 144 | yes | — |
| 340 | #125 | C24 | 1 | 36 | yes | — |
| 341 | #125 | C24 | 1 | 72 | yes | — |
| 342 | #125 | C24 | 1 | 144 | yes | — |
| 343 | #125 | C24 | 1 | 72 | yes | — |
| 344 | #125 | C24 | 1 | 72 | yes | — |
| 345 | #125 | C24 | 1 | 72 | yes | — |
| 346 | #125 | C24 | 1 | 288 | yes | — |
| 347 | #125 | C24 | 1 | 18 | yes | — |
| 348 | #125 | C24 | 1 | 18 | yes | — |
| 349 | #125 | C24 | 1 | 36 | yes | — |
| 350 | #125 | C24 | 1 | 144 | yes | — |
| 351 | #125 | C24 | 1 | 288 | yes | — |
| 352 | #125 | C24 | 1 | 144 | yes | — |
| 353 | #124 | C24 | 1 | 12 | yes | — |
| 354 | #124 | C24 | 1 | 72 | yes | — |
| 355 | #124 | C24 | 1 | 18 | yes | — |
| 356 | #124 | C24 | 1 | 18 | yes | — |
| 357 | #124 | C24 | 1 | 36 | yes | — |
| 358 | #124 | C24 | 1 | 144 | yes | — |
| 359 | #124 | C24 | 1 | 72 | yes | — |
| 360 | #123 | C24 | 1 | 36 | yes | — |
| 361 | #123 | C24 | 1 | 36 | yes | — |
| 362 | #123 | C24 | 1 | 72 | yes | — |
| 363 | #123 | C24 | 1 | 72 | yes | — |
| 364 | #123 | C24 | 1 | 144 | yes | — |
| 365 | #123 | C24 | 1 | 144 | yes | — |
| 366 | #123 | C24 | 1 | 144 | yes | — |
| 367 | #123 | C24 | 1 | 48 | yes | — |
| 368 | #123 | C24 | 1 | 144 | yes | — |
| 369 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 370 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 371 | C22⋊Q8 | C24 | 1 | 144 | yes | — |
| 372 | C22⋊Q8 | C24 | 1 | 288 | yes | — |
| 373 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 374 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 375 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 376 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 377 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 378 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 379 | C22⋊Q8 | C24 | 1 | 288 | yes | — |
| 380 | C22⋊Q8 | C24 | 1 | 288 | yes | — |
| 381 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 382 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 383 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 384 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 385 | C22⋊Q8 | C24 | 1 | 24 | yes | — |
| 386 | C22⋊Q8 | C24 | 1 | 24 | yes | — |
| 387 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 388 | C22⋊Q8 | C24 | 1 | 144 | yes | — |
| 389 | C22⋊Q8 | C24 | 1 | 144 | yes | — |
| 390 | #121 | C24 | 1 | 12 | yes | — |
| 391 | #121 | C24 | 1 | 12 | yes | — |
| 392 | #121 | C24 | 1 | 144 | yes | — |
| 393 | #121 | C24 | 1 | 36 | yes | — |
| 394 | #121 | C24 | 1 | 36 | yes | — |
| 395 | #121 | C24 | 1 | 36 | yes | — |
| 396 | #121 | C24 | 1 | 36 | yes | — |
| 397 | #121 | C24 | 1 | 72 | yes | — |
| 398 | #120 | C24 | 1 | 36 | yes | — |
| 399 | #120 | C24 | 1 | 36 | yes | — |
| 400 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 401 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 402 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 403 | C4×Q8 | C24 | 1 | 24 | yes | — |
| 404 | C4×Q8 | C24 | 1 | 36 | yes | — |
| 405 | C4×Q8 | C24 | 1 | 36 | yes | — |
| 406 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 407 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 408 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 409 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 410 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 411 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 412 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 413 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 414 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 415 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 416 | C4×Q8 | C24 | 1 | 144 | yes | — |
| 417 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 418 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 419 | C4×Q8 | C24 | 1 | 72 | yes | — |
| 420 | C4×Q8 | C24 | 1 | 36 | yes | — |
| 421 | C4×Q8 | C24 | 1 | 12 | yes | — |
| 422 | C4×Q8 | C24 | 1 | 144 | yes | — |
| 423 | C4×D4 | C24 | 1 | 6 | yes | — |
| 424 | C4×D4 | C24 | 1 | 6 | yes | — |
| 425 | C4×D4 | C24 | 1 | 72 | yes | — |
| 426 | C4×D4 | C24 | 1 | 18 | yes | — |
| 427 | C4×D4 | C24 | 1 | 18 | yes | — |
| 428 | C4×D4 | C24 | 1 | 36 | yes | — |
| 429 | C4×D4 | C24 | 1 | 36 | yes | — |
| 430 | C4×D4 | C24 | 1 | 36 | yes | — |
| 431 | C4×D4 | C24 | 1 | 18 | yes | — |
| 432 | C4×D4 | C24 | 1 | 18 | yes | — |
| 433 | C4×D4 | C24 | 1 | 18 | yes | — |
| 434 | C4×D4 | C24 | 1 | 36 | yes | — |
| 435 | C4×D4 | C24 | 1 | 18 | yes | — |
| 436 | C4×D4 | C24 | 1 | 288 | yes | — |
| 437 | C4×D4 | C24 | 1 | 144 | yes | — |
| 438 | C4×D4 | C24 | 1 | 72 | yes | — |
| 439 | C4×D4 | C24 | 1 | 12 | yes | — |
| 440 | C4×D4 | C24 | 1 | 12 | yes | — |
| 441 | C4×D4 | C24 | 1 | 144 | yes | — |
| 442 | C4×D4 | C24 | 1 | 72 | yes | — |
| 443 | C4×D4 | C24 | 1 | 36 | yes | — |
| 444 | C4×D4 | C24 | 1 | 36 | yes | — |
| 445 | C4×D4 | C24 | 1 | 72 | yes | — |
| 446 | #117 | C24 | 1 | 6 | yes | — |
| 447 | #117 | C24 | 1 | 36 | yes | — |
| 448 | #117 | C24 | 1 | 18 | yes | — |
| 449 | #117 | C24 | 1 | 36 | yes | — |
| 450 | #117 | C24 | 1 | 36 | yes | — |
| 451 | #117 | C24 | 1 | 18 | yes | — |
| 452 | #117 | C24 | 1 | 18 | yes | — |
| 453 | #117 | C24 | 1 | 72 | yes | — |
| 454 | #117 | C24 | 1 | 72 | yes | — |
| 455 | #117 | C24 | 1 | 72 | yes | — |
| 456 | #117 | C24 | 1 | 18 | yes | — |
| 457 | #117 | C24 | 1 | 18 | yes | — |
| 458 | #117 | C24 | 1 | 72 | yes | — |
| 459 | #117 | C24 | 1 | 144 | yes | — |
| 460 | #117 | C24 | 1 | 72 | yes | — |
| 461 | #117 | C24 | 1 | 36 | yes | — |
| 462 | #117 | C24 | 1 | 144 | yes | — |
| 463 | C2×C4⋊C4 | C24 | 1 | 36 | yes | — |
| 464 | C2×C4⋊C4 | C24 | 1 | 36 | yes | — |
| 465 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 466 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 467 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 468 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 469 | C2×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 470 | C2×C4⋊C4 | C24 | 1 | 18 | yes | — |
| 471 | C2×C4⋊C4 | C24 | 1 | 18 | yes | — |
| 472 | C2×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 473 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 474 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 475 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 476 | C2×C22⋊C4 | C24 | 1 | 36 | yes | — |
| 477 | C2×C22⋊C4 | C24 | 1 | 72 | yes | — |
| 478 | C2×C42 | C24 | 1 | 18 | yes | — |
| 479 | C2×C42 | C24 | 1 | 72 | yes | — |
| 480 | C2×C42 | C24 | 1 | 18 | yes | — |
| 481 | C2×C42 | C24 | 1 | 18 | yes | — |
| 482 | C2×C42 | C24 | 1 | 36 | yes | — |
| 483 | C2×C42 | C24 | 1 | 9 | yes | — |
| 484 | C2×C42 | C24 | 1 | 9 | yes | — |
| 485 | C2×C42 | C24 | 1 | 18 | yes | — |
| 486 | C2×C42 | C24 | 1 | 6 | yes | — |
| 487 | C24 | C25 | 1 | 9 | yes | — |
| 488 | #41 | — | 2 | 24 | no | — |
| 489 | #41 | — | 2 | 72 | no | — |
| 490 | #41 | — | 2 | 96 | no | — |
| 491 | #41 | — | 2 | 72 | no | — |
| 492 | #41 | — | 2 | 48 | no | — |
| 493 | #41 | — | 4 | 12 | no | — |
| 494 | #41 | — | 4 | 36 | no | — |
| 495 | #41 | — | 8 | 72 | no | — |
| 496 | #41 | 2−1+4 | 1 | 16 | yes | complemented |
| 497 | C2×Q8 | — | 2 | 24 | no | — |
| 498 | C2×Q8 | — | 2 | 32 | no | — |
| 499 | C2×Q8 | — | 2 | 48 | no | — |
| 500 | C2×Q8 | — | 4 | 72 | no | — |
| 501 | C2×Q8 | — | 4 | 72 | no | — |
| 502 | C2×Q8 | — | 8 | 72 | no | — |
| 503 | C2×Q8 | — | 8 | 36 | no | — |
| 504 | C2×Q8 | — | 8 | 24 | no | — |
| 505 | C2×Q8 | C25 | 1 | 12 | yes | — |
| 506 | C2×Q8 | C25 | 1 | 24 | yes | — |
| 507 | C2×Q8 | C25 | 1 | 18 | yes | — |
| 508 | C2×Q8 | C25 | 1 | 18 | yes | — |
| 509 | C2×Q8 | C25 | 1 | 72 | yes | — |
| 510 | C2×Q8 | C25 | 1 | 72 | yes | — |
| 511 | C2×Q8 | C25 | 1 | 6 | yes | — |
| 512 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 513 | C2×D4 | — | 2 | 72 | no | — |
| 514 | C2×D4 | C25 | 1 | 24 | yes | — |
| 515 | C2×D4 | C25 | 1 | 36 | yes | — |
| 516 | C2×D4 | C25 | 1 | 4 | yes | — |
| 517 | C2×D4 | C25 | 1 | 18 | yes | — |
| 518 | C2×D4 | C25 | 1 | 2 | yes | — |
| 519 | C2×D4 | C25 | 1 | 18 | yes | — |
| 520 | C2×D4 | C25 | 1 | 36 | yes | — |
| 521 | C2×D4 | C25 | 1 | 6 | yes | — |
| 522 | C22×C4 | — | 2 | 72 | no | — |
| 523 | C22×C4 | — | 4 | 18 | no | — |
| 524 | C22×C4 | — | 8 | 36 | no | — |
| 525 | C22×C4 | C25 | 1 | 18 | yes | — |
| 526 | C22×C4 | C25 | 1 | 6 | yes | — |
| 527 | C22×C4 | C25 | 1 | 6 | yes | — |
| 528 | C22×C4 | C25 | 1 | 24 | yes | — |
| 529 | C22×C4 | C25 | 1 | 24 | yes | — |
| 530 | C22×C4 | C25 | 1 | 18 | yes | — |
| 531 | C22×C4 | C25 | 1 | 18 | yes | — |
| 532 | C22×C4 | C25 | 1 | 18 | yes | — |
| 533 | C22×C4 | C25 | 1 | 9 | yes | — |
| 534 | C22×C4 | C25 | 1 | 18 | yes | — |
| 535 | C22×C4 | C25 | 1 | 9 | yes | — |
| 536 | C22×C4 | C25 | 1 | 72 | yes | — |
| 537 | C22×C4 | C25 | 1 | 36 | yes | — |
| 538 | C22×C4 | C25 | 1 | 72 | yes | — |
| 539 | C22×C4 | C25 | 1 | 6 | yes | — |
| 540 | C4⋊C4 | C25 | 1 | 36 | yes | — |
| 541 | C4⋊C4 | C25 | 1 | 72 | yes | — |
| 542 | C4⋊C4 | C25 | 1 | 18 | yes | — |
| 543 | C4⋊C4 | C25 | 1 | 72 | yes | — |
| 544 | C4⋊C4 | C25 | 1 | 6 | yes | — |
| 545 | C4⋊C4 | C25 | 1 | 6 | yes | — |
| 546 | C4⋊C4 | C25 | 1 | 144 | yes | — |
| 547 | C4⋊C4 | C25 | 1 | 12 | yes | — |
| 548 | C4⋊C4 | C25 | 1 | 12 | yes | — |
| 549 | C4⋊C4 | C25 | 1 | 72 | yes | — |
| 550 | C4⋊C4 | C25 | 1 | 72 | yes | — |
| 551 | C4⋊C4 | C25 | 1 | 144 | yes | — |
| 552 | C4⋊C4 | C25 | 1 | 18 | yes | — |
| 553 | C4⋊C4 | C25 | 1 | 24 | yes | — |
| 554 | C4⋊C4 | C25 | 1 | 36 | yes | — |
| 555 | C4⋊C4 | C25 | 1 | 36 | yes | — |
| 556 | C4⋊C4 | C25 | 1 | 144 | yes | — |
| 557 | C4⋊C4 | C25 | 1 | 24 | yes | — |
| 558 | C4⋊C4 | C25 | 1 | 72 | yes | — |
| 559 | C4⋊C4 | C25 | 1 | 36 | yes | — |
| 560 | C22⋊C4 | C25 | 1 | 12 | yes | — |
| 561 | C22⋊C4 | C25 | 1 | 72 | yes | — |
| 562 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 563 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 564 | C22⋊C4 | C25 | 1 | 144 | yes | — |
| 565 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 566 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 567 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 568 | C22⋊C4 | C25 | 1 | 72 | yes | — |
| 569 | C22⋊C4 | C25 | 1 | 24 | yes | — |
| 570 | C22⋊C4 | C25 | 1 | 24 | yes | — |
| 571 | C42 | C25 | 1 | 1 | yes | characteristic |
| 572 | C42 | C25 | 1 | 6 | yes | — |
| 573 | C42 | C25 | 1 | 6 | yes | — |
| 574 | C42 | C25 | 1 | 6 | yes | — |
| 575 | C42 | C25 | 1 | 9 | yes | — |
| 576 | C42 | C25 | 1 | 9 | yes | — |
| 577 | C42 | C25 | 1 | 18 | yes | — |
| 578 | C42 | C25 | 1 | 72 | yes | — |
| 579 | C42 | C25 | 1 | 9 | yes | — |
| 580 | C42 | C25 | 1 | 18 | yes | — |
| 581 | C42 | C25 | 1 | 18 | yes | — |
| 582 | C42 | C25 | 1 | 144 | yes | — |
| 583 | C42 | C25 | 1 | 36 | yes | — |
| 584 | C23 | — | 2 | 36 | no | — |
| 585 | C23 | — | 4 | 9 | no | — |
| 586 | C23 | C26 | 1 | 9 | yes | — |
| 587 | C23 | C26 | 1 | 4 | yes | — |
| 588 | C23 | C26 | 1 | 6 | yes | — |
| 589 | Q8 | — | 2 | 24 | no | — |
| 590 | Q8 | — | 2 | 48 | no | — |
| 591 | Q8 | — | 2 | 36 | no | — |
| 592 | Q8 | — | 2 | 36 | no | — |
| 593 | Q8 | — | 4 | 72 | no | — |
| 594 | Q8 | — | 4 | 72 | no | — |
| 595 | Q8 | — | 4 | 6 | no | — |
| 596 | Q8 | C2×2−1+4 | 1 | 8 | yes | — |
| 597 | D4 | — | 2 | 72 | no | — |
| 598 | D4 | — | 2 | 48 | no | — |
| 599 | D4 | — | 2 | 36 | no | — |
| 600 | D4 | — | 2 | 8 | no | — |
| 601 | D4 | — | 2 | 4 | no | — |
| 602 | D4 | — | 4 | 18 | no | — |
| 603 | D4 | — | 4 | 36 | no | — |
| 604 | D4 | C2×2−1+4 | 1 | 24 | yes | — |
| 605 | C2×C4 | — | 2 | 36 | no | — |
| 606 | C2×C4 | — | 2 | 48 | no | — |
| 607 | C2×C4 | — | 2 | 12 | no | — |
| 608 | C2×C4 | — | 2 | 36 | no | — |
| 609 | C2×C4 | — | 2 | 36 | no | — |
| 610 | C2×C4 | — | 2 | 36 | no | — |
| 611 | C2×C4 | — | 2 | 48 | no | — |
| 612 | C2×C4 | — | 2 | 12 | no | — |
| 613 | C2×C4 | — | 2 | 18 | no | — |
| 614 | C2×C4 | — | 4 | 18 | no | — |
| 615 | C2×C4 | — | 4 | 9 | no | — |
| 616 | C2×C4 | — | 4 | 72 | no | — |
| 617 | C2×C4 | — | 4 | 72 | no | — |
| 618 | C2×C4 | — | 4 | 36 | no | — |
| 619 | C2×C4 | C2×2−1+4 | 1 | 24 | yes | — |
| 620 | C2×C4 | C26 | 1 | 24 | yes | — |
| 621 | C2×C4 | C26 | 1 | 18 | yes | — |
| 622 | C2×C4 | C26 | 1 | 6 | yes | — |
| 623 | C2×C4 | C26 | 1 | 6 | yes | — |
| 624 | C2×C4 | C26 | 1 | 9 | yes | — |
| 625 | C2×C4 | C26 | 1 | 36 | yes | — |
| 626 | C2×C4 | C26 | 1 | 6 | yes | — |
| 627 | C2×C4 | C26 | 1 | 2 | yes | — |
| 628 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 629 | C22 | — | 2 | 6 | no | — |
| 630 | C22 | — | 2 | 6 | no | — |
| 631 | C22 | — | 2 | 8 | no | — |
| 632 | C22 | — | 2 | 18 | no | — |
| 633 | C22 | — | 2 | 9 | no | — |
| 634 | C22 | — | 2 | 4 | no | — |
| 635 | C22 | — | 4 | 36 | no | — |
| 636 | C22 | C22×2−1+4 | 1 | 12 | yes | — |
| 637 | C22 | C27 | 1 | 1 | yes | characteristic |
| 638 | C4 | — | 2 | 6 | no | — |
| 639 | C4 | — | 2 | 18 | no | — |
| 640 | C4 | — | 2 | 24 | no | — |
| 641 | C4 | — | 2 | 9 | no | — |
| 642 | C4 | — | 2 | 6 | no | — |
| 643 | C4 | — | 2 | 36 | no | — |
| 644 | C4 | C22×2−1+4 | 1 | 4 | yes | — |
| 645 | C4 | C22×2−1+4 | 1 | 12 | yes | — |
| 646 | C4 | H(7,𝔽2) | 1 | 2 | yes | — |
| 647 | C2 | — | 2 | 12 | no | — |
| 648 | C2 | — | 4 | 4 | no | — |
| 649 | C2 | — | 4 | 9 | no | — |
| 650 | C2 | C23×2−1+4 | 1 | 2 | yes | — |
| 651 | C2 | C2×H(7,𝔽2) | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C22 | C27 |
| LCS | G ▷ C22 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ G | |
| LECS | G ▷ C22 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #63037 | C2 | semidirect |
| 2. #63032 | C2 | semidirect |
| 3. #63016 | C2 | semidirect |
| 4. #63000 | C2 | semidirect |
| 5. Q8×2−1+4 | C2 | semidirect |
| 6. #62945 | C2 | semidirect |
| 7. #62943 | C2 | semidirect |
| 8. #62837 | C2 | semidirect |
| 9. #62833 | C2 | semidirect |
| 10. #62805 | C2 | semidirect |
| 11. C2×#3503 | C2 | semidirect |
| 12. #412 | C2 | semidirect |
| 13. #3563 | C22 | semidirect |
| 14. #3563 | C22 | semidirect |
| 15. #3556 | C22 | semidirect |
| 16. #3555 | C22 | semidirect |
| 17. #3555 | C22 | semidirect |
| 18. #3552 | C22 | semidirect |
| 19. #3552 | C22 | semidirect |
| 20. #3552 | C22 | semidirect |
| 21. #3550 | C22 | semidirect |
| 22. #3550 | C22 | semidirect |
| 23. #3544 | C22 | semidirect |
| 24. #3544 | C22 | semidirect |
| 25. #3538 | C22 | semidirect |
| 26. #3538 | C22 | semidirect |
| 27. #3523 | C22 | semidirect |
| 28. #3523 | C22 | semidirect |
| 29. #3522 | C22 | semidirect |
| 30. #3520 | C22 | semidirect |
| 31. #3520 | C22 | semidirect |
| 32. #3518 | C22 | semidirect |
| 33. #3516 | C22 | semidirect |
| 34. #3515 | C22 | semidirect |
| 35. #3515 | C22 | semidirect |
| 36. #3511 | C22 | semidirect |
| 37. #3511 | C22 | semidirect |
| 38. #3509 | C22 | semidirect |
| 39. #3509 | C22 | semidirect |
| 40. #3509 | C22 | semidirect |
| 41. #3507 | C22 | semidirect |
| 44. #3503 | C22 | semidirect |
| 45. #3503 | C22 | semidirect |
| 46. #3503 | C22 | semidirect |
| 47. #3503 | C22 | semidirect |
| 48. #3503 | C22 | semidirect |
| 49. #3503 | C22 | semidirect |
| 50. #3503 | C22 | semidirect |
| 51. #3503 | C22 | semidirect |
| 52. #3502 | C22 | semidirect |
| 53. #3502 | C22 | semidirect |
| 55. #3499 | C22 | semidirect |
| 56. #3499 | C22 | semidirect |
| 57. #3495 | C22 | semidirect |
| 58. #3495 | C22 | semidirect |
| 59. #3492 | C22 | semidirect |
| 61. #3486 | C22 | semidirect |
| 64. #3482 | C22 | semidirect |
| 65. #3482 | C22 | semidirect |
| 67. #3481 | C22 | semidirect |
| 70. Q8×#41 | C22 | semidirect |
| 71. Q8×#41 | C22 | semidirect |
| 72. C2×Q82 | C22 | semidirect |
| 73. C2×Q82 | C22 | semidirect |
| 74. C2×#557 | C22 | semidirect |
| 76. #3475 | C22 | semidirect |
| 77. C2×#554 | C22 | semidirect |
| 79. C2×D4×Q8 | C22 | semidirect |
| 80. #3461 | C22 | semidirect |
| 81. C2×#544 | C22 | semidirect |
| 83. #3444 | C22 | semidirect |
| 84. C2×#533 | C22 | semidirect |
| 85. C22×C4⋊Q8 | C22 | semidirect |
| 496. #41 | 2−1+4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #63037 | 2 |
| #63032 | 2 |
| #63016 | 2 |
| #63000 | 2 |
| Q8×2−1+4 | 2 |
| #62945 | 2 |
| #62943 | 2 |
| #62837 | 2 |
| #62833 | 2 |
| #62805 | 2 |
| C2×#3503 | 2 |
| #412 | 2 |