← #10586554
Subgroups — #10586554
Order 512.
38041 conjugacy classes of subgroups.
The subgroup lattice has 687 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #63040 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #63014 | C2 | 1 | 12 | yes | maximal, complemented |
| 3 | #63011 | C2 | 1 | 18 | yes | maximal, complemented |
| 4 | #62986 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | D4×H(5,𝔽2) | C2 | 1 | 12 | yes | maximal, complemented |
| 6 | #62916 | C2 | 1 | 12 | yes | maximal, complemented |
| 7 | #62912 | C2 | 1 | 36 | yes | maximal, complemented |
| 8 | #62834 | C2 | 1 | 9 | yes | maximal, complemented |
| 9 | #62832 | C2 | 1 | 9 | yes | maximal, complemented |
| 10 | #62800 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | C2×#3498 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #412 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C22×H(5,𝔽2) | C22 | 1 | 12 | yes | complemented |
| 14 | #3558 | C22 | 1 | 72 | yes | complemented |
| 15 | #3549 | C22 | 1 | 18 | yes | complemented |
| 16 | #3549 | C22 | 1 | 36 | yes | complemented |
| 17 | #3548 | C22 | 1 | 18 | yes | complemented |
| 18 | #3546 | C22 | 1 | 72 | yes | complemented |
| 19 | #3546 | C22 | 1 | 72 | yes | complemented |
| 20 | #3543 | C22 | 1 | 72 | yes | complemented |
| 21 | #3543 | C22 | 1 | 36 | yes | complemented |
| 22 | #3543 | C22 | 1 | 72 | yes | complemented |
| 23 | #3543 | C22 | 1 | 72 | yes | complemented |
| 24 | #3542 | C22 | 1 | 144 | yes | complemented |
| 25 | #3537 | C22 | 1 | 36 | yes | complemented |
| 26 | #3537 | C22 | 1 | 144 | yes | complemented |
| 27 | #3532 | C22 | 1 | 144 | yes | complemented |
| 28 | #3522 | C22 | 1 | 12 | yes | complemented |
| 29 | #3519 | C22 | 1 | 72 | yes | complemented |
| 30 | #3519 | C22 | 1 | 36 | yes | complemented |
| 31 | #3519 | C22 | 1 | 72 | yes | complemented |
| 32 | #3517 | C22 | 1 | 24 | yes | complemented |
| 33 | #3517 | C22 | 1 | 12 | yes | complemented |
| 34 | #3514 | C22 | 1 | 36 | yes | complemented |
| 35 | #3511 | C22 | 1 | 18 | yes | complemented |
| 36 | #3508 | C22 | 1 | 36 | yes | complemented |
| 37 | #3508 | C22 | 1 | 18 | yes | complemented |
| 38 | #3508 | C22 | 1 | 18 | yes | complemented |
| 39 | #3508 | C22 | 1 | 18 | yes | complemented |
| 40 | #3506 | C22 | 1 | 36 | yes | complemented |
| 41 | #3503 | C22 | 1 | 2 | yes | complemented |
| 42 | #3498 | C22 | 1 | 12 | yes | complemented |
| 43 | #3498 | C22 | 1 | 6 | yes | complemented |
| 44 | #3498 | C22 | 1 | 24 | yes | complemented |
| 45 | #3498 | C22 | 1 | 36 | yes | complemented |
| 46 | #3498 | C22 | 1 | 36 | yes | complemented |
| 47 | #3498 | C22 | 1 | 18 | yes | complemented |
| 48 | #3498 | C22 | 1 | 12 | yes | complemented |
| 49 | #3498 | C22 | 1 | 36 | yes | complemented |
| 50 | #3498 | C22 | 1 | 36 | yes | complemented |
| 51 | #3498 | C22 | 1 | 36 | yes | complemented |
| 52 | #3498 | C22 | 1 | 12 | yes | complemented |
| 53 | #3498 | C22 | 1 | 6 | yes | complemented |
| 54 | #3496 | C22 | 1 | 72 | yes | complemented |
| 55 | #3496 | C22 | 1 | 36 | yes | complemented |
| 56 | #3494 | C22 | 1 | 36 | yes | complemented |
| 57 | #3488 | C22 | 1 | 12 | yes | complemented |
| 58 | #3488 | C22 | 1 | 48 | yes | complemented |
| 59 | #3488 | C22 | 1 | 72 | yes | complemented |
| 60 | #3484 | C22 | 1 | 144 | yes | complemented |
| 61 | #3484 | C22 | 1 | 72 | yes | complemented |
| 62 | #3484 | C22 | 1 | 36 | yes | complemented |
| 63 | #3483 | C22 | 1 | 4 | yes | complemented |
| 64 | #3483 | C22 | 1 | 12 | yes | complemented |
| 65 | #3483 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #3482 | C22 | 1 | 6 | yes | complemented |
| 67 | #3481 | C22 | 1 | 9 | yes | complemented |
| 68 | #3481 | C22 | 1 | 36 | yes | complemented |
| 69 | #3480 | C22 | 1 | 12 | yes | complemented |
| 70 | #3480 | C22 | 1 | 6 | yes | complemented |
| 71 | Q8×#41 | C22 | 1 | 2 | yes | complemented |
| 72 | #3475 | C22 | 1 | 18 | yes | complemented |
| 73 | D4×#41 | C22 | 1 | 6 | yes | complemented |
| 74 | D4×#41 | C22 | 1 | 24 | yes | complemented |
| 75 | D4×#41 | C22 | 1 | 36 | yes | complemented |
| 76 | C2×#550 | C22 | 1 | 12 | yes | complemented |
| 77 | C2×#550 | C22 | 1 | 12 | yes | complemented |
| 78 | C2×D42 | C22 | 1 | 36 | yes | complemented |
| 79 | C2×D42 | C22 | 1 | 36 | yes | complemented |
| 80 | C2×D42 | C22 | 1 | 36 | yes | complemented |
| 81 | #3460 | C22 | 1 | 36 | yes | complemented |
| 82 | C2×#535 | C22 | 1 | 36 | yes | complemented |
| 83 | #3444 | C22 | 1 | 9 | yes | complemented |
| 84 | #3444 | C22 | 1 | 9 | yes | complemented |
| 85 | C2×#532 | C22 | 1 | 18 | yes | complemented |
| 86 | C22×#127 | C22 | 1 | 9 | yes | complemented |
| 87 | C4×H(5,𝔽2) | C22 | 1 | 12 | yes | complemented |
| 88 | C2×C4×#41 | C22 | 1 | 6 | yes | complemented |
| 89 | C2×H(5,𝔽2) | — | 4 | 96 | no | — |
| 90 | C2×H(5,𝔽2) | C23 | 1 | 12 | yes | — |
| 91 | C2×H(5,𝔽2) | C23 | 1 | 72 | yes | complemented |
| 92 | C2×H(5,𝔽2) | C23 | 1 | 72 | yes | complemented |
| 93 | C2×H(5,𝔽2) | C23 | 1 | 24 | yes | complemented |
| 94 | C2×H(5,𝔽2) | C23 | 1 | 12 | yes | complemented |
| 95 | C22×#41 | C23 | 1 | 6 | yes | — |
| 96 | C22×#41 | C23 | 1 | 36 | yes | complemented |
| 97 | C22×#41 | C23 | 1 | 24 | yes | complemented |
| 98 | C23×D4 | C23 | 1 | 36 | yes | complemented |
| 99 | C23×D4 | C23 | 1 | 72 | yes | complemented |
| 100 | C23×D4 | C23 | 1 | 18 | yes | complemented |
| 101 | #562 | C23 | 1 | 72 | yes | complemented |
| 102 | H(3,𝔽4) | C23 | 1 | 72 | yes | complemented |
| 103 | #560 | C23 | 1 | 144 | yes | complemented |
| 104 | #560 | C23 | 1 | 288 | yes | complemented |
| 105 | #559 | C23 | 1 | 9 | yes | complemented |
| 106 | #559 | C23 | 1 | 36 | yes | complemented |
| 107 | #559 | C23 | 1 | 36 | yes | complemented |
| 108 | #559 | C23 | 1 | 72 | yes | complemented |
| 109 | Q82 | C23 | 1 | 1 | yes | characteristic, complemented |
| 110 | Q82 | C23 | 1 | 4 | yes | complemented |
| 111 | #557 | C23 | 1 | 6 | yes | complemented |
| 112 | #557 | C23 | 1 | 4 | yes | complemented |
| 113 | #556 | C23 | 1 | 18 | yes | complemented |
| 114 | #556 | C23 | 1 | 36 | yes | complemented |
| 115 | #555 | C23 | 1 | 9 | yes | complemented |
| 116 | #555 | C23 | 1 | 72 | yes | complemented |
| 117 | #555 | C23 | 1 | 36 | yes | complemented |
| 118 | #555 | C23 | 1 | 36 | yes | complemented |
| 119 | #554 | C23 | 1 | 18 | yes | complemented |
| 120 | #554 | C23 | 1 | 12 | yes | complemented |
| 121 | #554 | C23 | 1 | 36 | yes | complemented |
| 122 | #553 | C23 | 1 | 36 | yes | complemented |
| 123 | #553 | C23 | 1 | 72 | yes | complemented |
| 124 | #553 | C23 | 1 | 72 | yes | complemented |
| 125 | #553 | C23 | 1 | 72 | yes | complemented |
| 126 | #553 | C23 | 1 | 144 | yes | complemented |
| 127 | #552 | C23 | 1 | 36 | yes | complemented |
| 128 | #551 | C23 | 1 | 36 | yes | complemented |
| 129 | #551 | C23 | 1 | 144 | yes | complemented |
| 130 | #550 | C23 | 1 | 12 | yes | complemented |
| 131 | #550 | C23 | 1 | 12 | yes | complemented |
| 132 | #550 | C23 | 1 | 24 | yes | complemented |
| 133 | #550 | C23 | 1 | 24 | yes | complemented |
| 134 | #550 | C23 | 1 | 72 | yes | complemented |
| 135 | #550 | C23 | 1 | 72 | yes | complemented |
| 136 | #550 | C23 | 1 | 72 | yes | complemented |
| 137 | #550 | C23 | 1 | 72 | yes | complemented |
| 138 | #550 | C23 | 1 | 6 | yes | complemented |
| 139 | #550 | C23 | 1 | 36 | yes | complemented |
| 140 | #550 | C23 | 1 | 24 | yes | complemented |
| 141 | #550 | C23 | 1 | 36 | yes | complemented |
| 142 | #550 | C23 | 1 | 72 | yes | complemented |
| 143 | #550 | C23 | 1 | 24 | yes | complemented |
| 144 | D4×Q8 | C23 | 1 | 6 | yes | complemented |
| 145 | D4×Q8 | C23 | 1 | 12 | yes | complemented |
| 146 | #548 | C23 | 1 | 24 | yes | complemented |
| 147 | #548 | C23 | 1 | 12 | yes | complemented |
| 148 | #548 | C23 | 1 | 72 | yes | complemented |
| 149 | #547 | C23 | 1 | 18 | yes | complemented |
| 150 | #547 | C23 | 1 | 72 | yes | complemented |
| 151 | #547 | C23 | 1 | 72 | yes | complemented |
| 152 | #547 | C23 | 1 | 36 | yes | complemented |
| 153 | #546 | C23 | 1 | 36 | yes | complemented |
| 154 | #546 | C23 | 1 | 144 | yes | complemented |
| 155 | #546 | C23 | 1 | 72 | yes | complemented |
| 156 | #546 | C23 | 1 | 144 | yes | complemented |
| 157 | #546 | C23 | 1 | 72 | yes | complemented |
| 158 | #546 | C23 | 1 | 72 | yes | complemented |
| 159 | #546 | C23 | 1 | 144 | yes | complemented |
| 160 | #546 | C23 | 1 | 144 | yes | complemented |
| 161 | #546 | C23 | 1 | 288 | yes | complemented |
| 162 | #546 | C23 | 1 | 144 | yes | complemented |
| 163 | #546 | C23 | 1 | 144 | yes | complemented |
| 164 | D42 | C23 | 1 | 9 | yes | complemented |
| 165 | D42 | C23 | 1 | 72 | yes | complemented |
| 166 | D42 | C23 | 1 | 72 | yes | complemented |
| 167 | D42 | C23 | 1 | 36 | yes | complemented |
| 168 | D42 | C23 | 1 | 36 | yes | complemented |
| 169 | D42 | C23 | 1 | 144 | yes | complemented |
| 170 | D42 | C23 | 1 | 72 | yes | complemented |
| 171 | D42 | C23 | 1 | 144 | yes | complemented |
| 172 | D42 | C23 | 1 | 144 | yes | complemented |
| 173 | D42 | C23 | 1 | 144 | yes | complemented |
| 174 | D42 | C23 | 1 | 144 | yes | complemented |
| 175 | D42 | C23 | 1 | 36 | yes | complemented |
| 176 | D42 | C23 | 1 | 72 | yes | complemented |
| 177 | D42 | C23 | 1 | 72 | yes | complemented |
| 178 | D42 | C23 | 1 | 72 | yes | complemented |
| 179 | D42 | C23 | 1 | 144 | yes | complemented |
| 180 | D42 | C23 | 1 | 72 | yes | complemented |
| 181 | D42 | C23 | 1 | 144 | yes | complemented |
| 182 | D42 | C23 | 1 | 144 | yes | complemented |
| 183 | D42 | C23 | 1 | 72 | yes | complemented |
| 184 | #544 | C23 | 1 | 12 | yes | complemented |
| 185 | #542 | C23 | 1 | 72 | yes | complemented |
| 186 | #542 | C23 | 1 | 72 | yes | complemented |
| 187 | #540 | C23 | 1 | 72 | yes | complemented |
| 188 | #540 | C23 | 1 | 72 | yes | complemented |
| 189 | #540 | C23 | 1 | 144 | yes | complemented |
| 190 | #540 | C23 | 1 | 72 | yes | complemented |
| 191 | #540 | C23 | 1 | 72 | yes | complemented |
| 192 | #538 | C23 | 1 | 144 | yes | complemented |
| 193 | #538 | C23 | 1 | 144 | yes | complemented |
| 194 | #538 | C23 | 1 | 288 | yes | complemented |
| 195 | #537 | C23 | 1 | 36 | yes | complemented |
| 196 | #537 | C23 | 1 | 144 | yes | complemented |
| 197 | #535 | C23 | 1 | 36 | yes | complemented |
| 198 | #535 | C23 | 1 | 72 | yes | complemented |
| 199 | #535 | C23 | 1 | 144 | yes | complemented |
| 200 | #535 | C23 | 1 | 72 | yes | complemented |
| 201 | #535 | C23 | 1 | 72 | yes | complemented |
| 202 | #535 | C23 | 1 | 144 | yes | complemented |
| 203 | #535 | C23 | 1 | 36 | yes | complemented |
| 204 | #535 | C23 | 1 | 144 | yes | complemented |
| 205 | #535 | C23 | 1 | 144 | yes | complemented |
| 206 | #535 | C23 | 1 | 36 | yes | complemented |
| 207 | #535 | C23 | 1 | 36 | yes | complemented |
| 208 | #535 | C23 | 1 | 72 | yes | complemented |
| 209 | #534 | C23 | 1 | 288 | yes | complemented |
| 210 | #534 | C23 | 1 | 144 | yes | complemented |
| 211 | #534 | C23 | 1 | 144 | yes | complemented |
| 212 | #533 | C23 | 1 | 6 | yes | complemented |
| 213 | #533 | C23 | 1 | 18 | yes | complemented |
| 214 | #533 | C23 | 1 | 9 | yes | complemented |
| 215 | #533 | C23 | 1 | 9 | yes | complemented |
| 216 | #532 | C23 | 1 | 18 | yes | complemented |
| 217 | #532 | C23 | 1 | 36 | yes | complemented |
| 218 | #532 | C23 | 1 | 36 | yes | complemented |
| 219 | #532 | C23 | 1 | 36 | yes | complemented |
| 220 | #532 | C23 | 1 | 36 | yes | complemented |
| 221 | #532 | C23 | 1 | 36 | yes | complemented |
| 222 | #532 | C23 | 1 | 36 | yes | complemented |
| 223 | #532 | C23 | 1 | 36 | yes | complemented |
| 224 | #532 | C23 | 1 | 18 | yes | complemented |
| 225 | #532 | C23 | 1 | 9 | yes | complemented |
| 226 | #532 | C23 | 1 | 9 | yes | complemented |
| 227 | #532 | C23 | 1 | 72 | yes | complemented |
| 228 | #532 | C23 | 1 | 72 | yes | complemented |
| 229 | #532 | C23 | 1 | 36 | yes | complemented |
| 230 | C2×C4⋊Q8 | C23 | 1 | 6 | yes | complemented |
| 231 | C2×#127 | C23 | 1 | 18 | yes | complemented |
| 232 | C2×#127 | C23 | 1 | 36 | yes | complemented |
| 233 | C2×#127 | C23 | 1 | 36 | yes | complemented |
| 234 | C2×#127 | C23 | 1 | 36 | yes | complemented |
| 235 | C2×#127 | C23 | 1 | 18 | yes | complemented |
| 236 | C2×#127 | C23 | 1 | 18 | yes | complemented |
| 237 | C2×#127 | C23 | 1 | 36 | yes | complemented |
| 238 | C2×#127 | C23 | 1 | 36 | yes | complemented |
| 239 | #529 | C23 | 1 | 36 | yes | complemented |
| 240 | #529 | C23 | 1 | 36 | yes | complemented |
| 241 | #529 | C23 | 1 | 36 | yes | complemented |
| 242 | #529 | C23 | 1 | 36 | yes | complemented |
| 243 | #529 | C23 | 1 | 36 | yes | complemented |
| 244 | #529 | C23 | 1 | 36 | yes | complemented |
| 245 | #529 | C23 | 1 | 72 | yes | complemented |
| 246 | C2×#124 | C23 | 1 | 36 | yes | complemented |
| 247 | #525 | C23 | 1 | 36 | yes | complemented |
| 248 | #525 | C23 | 1 | 36 | yes | complemented |
| 249 | #525 | C23 | 1 | 18 | yes | complemented |
| 250 | #525 | C23 | 1 | 18 | yes | complemented |
| 251 | #525 | C23 | 1 | 144 | yes | complemented |
| 252 | #525 | C23 | 1 | 144 | yes | complemented |
| 253 | C2×#121 | C23 | 1 | 36 | yes | complemented |
| 254 | C2×#121 | C23 | 1 | 36 | yes | complemented |
| 255 | C2×#121 | C23 | 1 | 72 | yes | complemented |
| 256 | C2×#121 | C23 | 1 | 72 | yes | complemented |
| 257 | C2×#121 | C23 | 1 | 144 | yes | complemented |
| 258 | C2×#120 | C23 | 1 | 144 | yes | complemented |
| 259 | C2×#120 | C23 | 1 | 144 | yes | complemented |
| 260 | #520 | C23 | 1 | 4 | yes | — |
| 261 | #520 | C23 | 1 | 36 | yes | complemented |
| 262 | #520 | C23 | 1 | 24 | yes | complemented |
| 263 | #518 | C23 | 1 | 36 | yes | complemented |
| 264 | #518 | C23 | 1 | 72 | yes | complemented |
| 265 | #518 | C23 | 1 | 36 | yes | complemented |
| 266 | C4×#41 | C23 | 1 | 2 | yes | — |
| 267 | C4×#41 | C23 | 1 | 6 | yes | — |
| 268 | C4×#41 | C23 | 1 | 18 | yes | complemented |
| 269 | C4×#41 | C23 | 1 | 18 | yes | complemented |
| 270 | C4×#41 | C23 | 1 | 18 | yes | complemented |
| 271 | C4×#41 | C23 | 1 | 6 | yes | complemented |
| 272 | C4×#41 | C23 | 1 | 18 | yes | complemented |
| 273 | C4×#41 | C23 | 1 | 6 | yes | complemented |
| 274 | C4×#41 | C23 | 1 | 36 | yes | complemented |
| 275 | C4×#41 | C23 | 1 | 24 | yes | complemented |
| 276 | C4×#41 | C23 | 1 | 6 | yes | complemented |
| 277 | C4×#41 | C23 | 1 | 18 | yes | complemented |
| 278 | C2×C4×Q8 | C23 | 1 | 6 | yes | complemented |
| 279 | C2×C4×Q8 | C23 | 1 | 6 | yes | complemented |
| 280 | C2×C4×D4 | C23 | 1 | 18 | yes | complemented |
| 281 | C2×C4×D4 | C23 | 1 | 18 | yes | complemented |
| 282 | C2×C4×D4 | C23 | 1 | 36 | yes | complemented |
| 283 | C2×C4×D4 | C23 | 1 | 72 | yes | complemented |
| 284 | C2×C4×D4 | C23 | 1 | 36 | yes | complemented |
| 285 | C2×#117 | C23 | 1 | 18 | yes | complemented |
| 286 | C22×C42 | C23 | 1 | 9 | yes | complemented |
| 287 | C25 | C24 | 1 | 36 | yes | — |
| 288 | H(5,𝔽2) | — | 2 | 96 | no | — |
| 289 | H(5,𝔽2) | — | 4 | 288 | no | — |
| 290 | H(5,𝔽2) | — | 4 | 288 | no | — |
| 291 | H(5,𝔽2) | — | 4 | 96 | no | — |
| 292 | H(5,𝔽2) | — | 8 | 24 | no | — |
| 293 | C2×#41 | — | 2 | 48 | no | — |
| 294 | C2×#41 | — | 4 | 144 | no | — |
| 295 | C2×#41 | — | 4 | 96 | no | — |
| 296 | C2×#41 | C24 | 1 | 18 | yes | — |
| 297 | C2×#41 | C24 | 1 | 18 | yes | — |
| 298 | C2×#41 | C24 | 1 | 6 | yes | — |
| 299 | C2×#41 | C24 | 1 | 36 | yes | — |
| 300 | C2×#41 | C24 | 1 | 24 | yes | — |
| 301 | C2×#41 | C24 | 1 | 6 | yes | — |
| 302 | C2×#41 | C24 | 1 | 18 | yes | — |
| 303 | C2×#41 | C24 | 1 | 72 | yes | — |
| 304 | C2×#41 | C24 | 1 | 144 | yes | — |
| 305 | C2×#41 | C24 | 1 | 72 | yes | — |
| 306 | C2×#41 | C24 | 1 | 72 | yes | — |
| 307 | C2×#41 | C24 | 1 | 24 | yes | — |
| 308 | C2×#41 | C24 | 1 | 2 | yes | — |
| 309 | C22×Q8 | C24 | 1 | 6 | yes | — |
| 310 | C22×Q8 | C24 | 1 | 12 | yes | — |
| 311 | C22×D4 | — | 4 | 144 | no | — |
| 312 | C22×D4 | — | 4 | 288 | no | — |
| 313 | C22×D4 | — | 8 | 36 | no | — |
| 314 | C22×D4 | C24 | 1 | 18 | yes | — |
| 315 | C22×D4 | C24 | 1 | 36 | yes | — |
| 316 | C22×D4 | C24 | 1 | 72 | yes | — |
| 317 | C22×D4 | C24 | 1 | 36 | yes | — |
| 318 | C22×D4 | C24 | 1 | 36 | yes | — |
| 319 | C22×D4 | C24 | 1 | 72 | yes | — |
| 320 | C22×D4 | C24 | 1 | 72 | yes | — |
| 321 | C22×D4 | C24 | 1 | 288 | yes | — |
| 322 | C22×D4 | C24 | 1 | 72 | yes | — |
| 323 | C22×D4 | C24 | 1 | 144 | yes | — |
| 324 | C22×D4 | C24 | 1 | 36 | yes | — |
| 325 | C22×D4 | C24 | 1 | 72 | yes | — |
| 326 | C22×D4 | C24 | 1 | 72 | yes | — |
| 327 | C22×D4 | C24 | 1 | 72 | yes | — |
| 328 | C22×D4 | C24 | 1 | 72 | yes | — |
| 329 | C22×D4 | C24 | 1 | 36 | yes | — |
| 330 | C23×C4 | C24 | 1 | 18 | yes | — |
| 331 | C23×C4 | C24 | 1 | 9 | yes | — |
| 332 | C23×C4 | C24 | 1 | 72 | yes | — |
| 333 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 334 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 335 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 336 | C4⋊Q8 | C24 | 1 | 12 | yes | — |
| 337 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 338 | C4⋊Q8 | C24 | 1 | 18 | yes | — |
| 339 | C4⋊Q8 | C24 | 1 | 9 | yes | — |
| 340 | C4⋊Q8 | C24 | 1 | 24 | yes | — |
| 341 | #127 | C24 | 1 | 9 | yes | — |
| 342 | #127 | C24 | 1 | 36 | yes | — |
| 343 | #127 | C24 | 1 | 36 | yes | — |
| 344 | #127 | C24 | 1 | 36 | yes | — |
| 345 | #127 | C24 | 1 | 9 | yes | — |
| 346 | #127 | C24 | 1 | 36 | yes | — |
| 347 | #127 | C24 | 1 | 36 | yes | — |
| 348 | #127 | C24 | 1 | 72 | yes | — |
| 349 | #127 | C24 | 1 | 72 | yes | — |
| 350 | #127 | C24 | 1 | 36 | yes | — |
| 351 | #127 | C24 | 1 | 72 | yes | — |
| 352 | #127 | C24 | 1 | 72 | yes | — |
| 353 | #127 | C24 | 1 | 72 | yes | — |
| 354 | #126 | C24 | 1 | 72 | yes | — |
| 355 | #126 | C24 | 1 | 72 | yes | — |
| 356 | #126 | C24 | 1 | 144 | yes | — |
| 357 | #125 | C24 | 1 | 12 | yes | — |
| 358 | #125 | C24 | 1 | 24 | yes | — |
| 359 | #125 | C24 | 1 | 18 | yes | — |
| 360 | #125 | C24 | 1 | 36 | yes | — |
| 361 | #125 | C24 | 1 | 18 | yes | — |
| 362 | #124 | C24 | 1 | 36 | yes | — |
| 363 | #124 | C24 | 1 | 72 | yes | — |
| 364 | #124 | C24 | 1 | 72 | yes | — |
| 365 | #124 | C24 | 1 | 72 | yes | — |
| 366 | #124 | C24 | 1 | 36 | yes | — |
| 367 | #124 | C24 | 1 | 18 | yes | — |
| 368 | #124 | C24 | 1 | 18 | yes | — |
| 369 | #124 | C24 | 1 | 72 | yes | — |
| 370 | #124 | C24 | 1 | 72 | yes | — |
| 371 | #124 | C24 | 1 | 144 | yes | — |
| 372 | #123 | C24 | 1 | 36 | yes | — |
| 373 | #123 | C24 | 1 | 72 | yes | — |
| 374 | #123 | C24 | 1 | 72 | yes | — |
| 375 | #123 | C24 | 1 | 36 | yes | — |
| 376 | #123 | C24 | 1 | 288 | yes | — |
| 377 | #123 | C24 | 1 | 144 | yes | — |
| 378 | #123 | C24 | 1 | 144 | yes | — |
| 379 | #123 | C24 | 1 | 144 | yes | — |
| 380 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 381 | C22⋊Q8 | C24 | 1 | 12 | yes | — |
| 382 | C22⋊Q8 | C24 | 1 | 12 | yes | — |
| 383 | C22⋊Q8 | C24 | 1 | 48 | yes | — |
| 384 | C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 385 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 386 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 387 | C22⋊Q8 | C24 | 1 | 36 | yes | — |
| 388 | C22⋊Q8 | C24 | 1 | 144 | yes | — |
| 389 | #121 | C24 | 1 | 36 | yes | — |
| 390 | #121 | C24 | 1 | 72 | yes | — |
| 391 | #121 | C24 | 1 | 36 | yes | — |
| 392 | #121 | C24 | 1 | 36 | yes | — |
| 393 | #121 | C24 | 1 | 144 | yes | — |
| 394 | #121 | C24 | 1 | 72 | yes | — |
| 395 | #121 | C24 | 1 | 72 | yes | — |
| 396 | #121 | C24 | 1 | 72 | yes | — |
| 397 | #121 | C24 | 1 | 144 | yes | — |
| 398 | #121 | C24 | 1 | 144 | yes | — |
| 399 | #121 | C24 | 1 | 72 | yes | — |
| 400 | #121 | C24 | 1 | 72 | yes | — |
| 401 | #121 | C24 | 1 | 72 | yes | — |
| 402 | #121 | C24 | 1 | 72 | yes | — |
| 403 | #121 | C24 | 1 | 72 | yes | — |
| 404 | #121 | C24 | 1 | 288 | yes | — |
| 405 | #121 | C24 | 1 | 288 | yes | — |
| 406 | #121 | C24 | 1 | 288 | yes | — |
| 407 | #121 | C24 | 1 | 36 | yes | — |
| 408 | #121 | C24 | 1 | 36 | yes | — |
| 409 | #121 | C24 | 1 | 36 | yes | — |
| 410 | #121 | C24 | 1 | 144 | yes | — |
| 411 | #121 | C24 | 1 | 144 | yes | — |
| 412 | #121 | C24 | 1 | 144 | yes | — |
| 413 | #120 | C24 | 1 | 36 | yes | — |
| 414 | #120 | C24 | 1 | 36 | yes | — |
| 415 | #120 | C24 | 1 | 144 | yes | — |
| 416 | #120 | C24 | 1 | 288 | yes | — |
| 417 | #120 | C24 | 1 | 144 | yes | — |
| 418 | #120 | C24 | 1 | 144 | yes | — |
| 419 | #120 | C24 | 1 | 144 | yes | — |
| 420 | #120 | C24 | 1 | 288 | yes | — |
| 421 | #120 | C24 | 1 | 288 | yes | — |
| 422 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 423 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 424 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 425 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 426 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 427 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 428 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 429 | C4×Q8 | C24 | 1 | 18 | yes | — |
| 430 | C4×Q8 | C24 | 1 | 8 | yes | — |
| 431 | C4×Q8 | C24 | 1 | 12 | yes | — |
| 432 | C4×Q8 | C24 | 1 | 12 | yes | — |
| 433 | C4×Q8 | C24 | 1 | 36 | yes | — |
| 434 | C4×Q8 | C24 | 1 | 12 | yes | — |
| 435 | C4×D4 | C24 | 1 | 18 | yes | — |
| 436 | C4×D4 | C24 | 1 | 6 | yes | — |
| 437 | C4×D4 | C24 | 1 | 6 | yes | — |
| 438 | C4×D4 | C24 | 1 | 24 | yes | — |
| 439 | C4×D4 | C24 | 1 | 72 | yes | — |
| 440 | C4×D4 | C24 | 1 | 72 | yes | — |
| 441 | C4×D4 | C24 | 1 | 36 | yes | — |
| 442 | C4×D4 | C24 | 1 | 36 | yes | — |
| 443 | C4×D4 | C24 | 1 | 18 | yes | — |
| 444 | C4×D4 | C24 | 1 | 36 | yes | — |
| 445 | C4×D4 | C24 | 1 | 36 | yes | — |
| 446 | C4×D4 | C24 | 1 | 36 | yes | — |
| 447 | C4×D4 | C24 | 1 | 18 | yes | — |
| 448 | C4×D4 | C24 | 1 | 18 | yes | — |
| 449 | C4×D4 | C24 | 1 | 18 | yes | — |
| 450 | C4×D4 | C24 | 1 | 36 | yes | — |
| 451 | C4×D4 | C24 | 1 | 18 | yes | — |
| 452 | C4×D4 | C24 | 1 | 72 | yes | — |
| 453 | C4×D4 | C24 | 1 | 144 | yes | — |
| 454 | C4×D4 | C24 | 1 | 72 | yes | — |
| 455 | C4×D4 | C24 | 1 | 72 | yes | — |
| 456 | C4×D4 | C24 | 1 | 72 | yes | — |
| 457 | C4×D4 | C24 | 1 | 72 | yes | — |
| 458 | C4×D4 | C24 | 1 | 72 | yes | — |
| 459 | C4×D4 | C24 | 1 | 72 | yes | — |
| 460 | C4×D4 | C24 | 1 | 36 | yes | — |
| 461 | C4×D4 | C24 | 1 | 72 | yes | — |
| 462 | C4×D4 | C24 | 1 | 72 | yes | — |
| 463 | C4×D4 | C24 | 1 | 36 | yes | — |
| 464 | C4×D4 | C24 | 1 | 144 | yes | — |
| 465 | #117 | C24 | 1 | 6 | yes | — |
| 466 | #117 | C24 | 1 | 18 | yes | — |
| 467 | #117 | C24 | 1 | 36 | yes | — |
| 468 | #117 | C24 | 1 | 36 | yes | — |
| 469 | #117 | C24 | 1 | 18 | yes | — |
| 470 | #117 | C24 | 1 | 18 | yes | — |
| 471 | #117 | C24 | 1 | 12 | yes | — |
| 472 | #117 | C24 | 1 | 18 | yes | — |
| 473 | #117 | C24 | 1 | 18 | yes | — |
| 474 | #117 | C24 | 1 | 72 | yes | — |
| 475 | #117 | C24 | 1 | 72 | yes | — |
| 476 | #117 | C24 | 1 | 36 | yes | — |
| 477 | C2×C4⋊C4 | C24 | 1 | 18 | yes | — |
| 478 | C2×C4⋊C4 | C24 | 1 | 18 | yes | — |
| 479 | C2×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 480 | C2×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 481 | C2×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 482 | C2×C22⋊C4 | C24 | 1 | 36 | yes | — |
| 483 | C2×C22⋊C4 | C24 | 1 | 72 | yes | — |
| 484 | C2×C22⋊C4 | C24 | 1 | 144 | yes | — |
| 485 | C2×C22⋊C4 | C24 | 1 | 72 | yes | — |
| 486 | C2×C22⋊C4 | C24 | 1 | 144 | yes | — |
| 487 | C2×C42 | C24 | 1 | 18 | yes | — |
| 488 | C2×C42 | C24 | 1 | 18 | yes | — |
| 489 | C2×C42 | C24 | 1 | 18 | yes | — |
| 490 | C2×C42 | C24 | 1 | 36 | yes | — |
| 491 | C2×C42 | C24 | 1 | 6 | yes | — |
| 492 | C2×C42 | C24 | 1 | 9 | yes | — |
| 493 | C2×C42 | C24 | 1 | 9 | yes | — |
| 494 | C2×C42 | C24 | 1 | 18 | yes | — |
| 495 | C24 | — | 4 | 144 | no | — |
| 496 | C24 | — | 8 | 36 | no | — |
| 497 | C24 | C25 | 1 | 9 | yes | — |
| 498 | C24 | C25 | 1 | 72 | yes | — |
| 499 | C24 | C25 | 1 | 72 | yes | — |
| 500 | #41 | — | 2 | 24 | no | — |
| 501 | #41 | — | 2 | 96 | no | — |
| 502 | #41 | — | 2 | 72 | no | — |
| 503 | #41 | — | 2 | 72 | no | — |
| 504 | #41 | — | 2 | 144 | no | — |
| 505 | #41 | — | 4 | 144 | no | — |
| 506 | #41 | — | 4 | 12 | no | — |
| 507 | #41 | — | 4 | 144 | no | — |
| 508 | #41 | — | 4 | 144 | no | — |
| 509 | #41 | — | 4 | 288 | no | — |
| 510 | #41 | — | 4 | 36 | no | — |
| 511 | #41 | — | 8 | 24 | no | — |
| 512 | #41 | H(5,𝔽2) | 1 | 16 | yes | complemented |
| 513 | C2×Q8 | — | 2 | 24 | no | — |
| 514 | C2×Q8 | — | 4 | 24 | no | — |
| 515 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 516 | C2×Q8 | C25 | 1 | 18 | yes | — |
| 517 | C2×Q8 | C25 | 1 | 12 | yes | — |
| 518 | C2×Q8 | C25 | 1 | 6 | yes | — |
| 519 | C2×Q8 | C25 | 1 | 24 | yes | — |
| 520 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 521 | C2×D4 | — | 2 | 72 | no | — |
| 522 | C2×D4 | — | 2 | 288 | no | — |
| 523 | C2×D4 | — | 2 | 144 | no | — |
| 524 | C2×D4 | — | 4 | 72 | no | — |
| 525 | C2×D4 | — | 4 | 144 | no | — |
| 526 | C2×D4 | — | 4 | 144 | no | — |
| 527 | C2×D4 | — | 4 | 144 | no | — |
| 528 | C2×D4 | — | 4 | 288 | no | — |
| 529 | C2×D4 | — | 4 | 72 | no | — |
| 530 | C2×D4 | — | 4 | 72 | no | — |
| 531 | C2×D4 | — | 4 | 144 | no | — |
| 532 | C2×D4 | — | 4 | 144 | no | — |
| 533 | C2×D4 | — | 4 | 576 | no | — |
| 534 | C2×D4 | — | 8 | 36 | no | — |
| 535 | C2×D4 | — | 8 | 72 | no | — |
| 536 | C2×D4 | — | 8 | 72 | no | — |
| 537 | C2×D4 | C25 | 1 | 18 | yes | — |
| 538 | C2×D4 | C25 | 1 | 72 | yes | — |
| 539 | C2×D4 | C25 | 1 | 36 | yes | — |
| 540 | C2×D4 | C25 | 1 | 18 | yes | — |
| 541 | C2×D4 | C25 | 1 | 72 | yes | — |
| 542 | C2×D4 | C25 | 1 | 36 | yes | — |
| 543 | C2×D4 | C25 | 1 | 18 | yes | — |
| 544 | C2×D4 | C25 | 1 | 36 | yes | — |
| 545 | C2×D4 | C25 | 1 | 72 | yes | — |
| 546 | C2×D4 | C25 | 1 | 72 | yes | — |
| 547 | C2×D4 | C25 | 1 | 144 | yes | — |
| 548 | C2×D4 | C25 | 1 | 144 | yes | — |
| 549 | C2×D4 | C25 | 1 | 72 | yes | — |
| 550 | C2×D4 | C25 | 1 | 6 | yes | — |
| 551 | C22×C4 | — | 2 | 72 | no | — |
| 552 | C22×C4 | — | 4 | 144 | no | — |
| 553 | C22×C4 | — | 4 | 18 | no | — |
| 554 | C22×C4 | C25 | 1 | 6 | yes | — |
| 555 | C22×C4 | C25 | 1 | 6 | yes | — |
| 556 | C22×C4 | C25 | 1 | 18 | yes | — |
| 557 | C22×C4 | C25 | 1 | 18 | yes | — |
| 558 | C22×C4 | C25 | 1 | 9 | yes | — |
| 559 | C22×C4 | C25 | 1 | 18 | yes | — |
| 560 | C22×C4 | C25 | 1 | 18 | yes | — |
| 561 | C22×C4 | C25 | 1 | 72 | yes | — |
| 562 | C22×C4 | C25 | 1 | 18 | yes | — |
| 563 | C22×C4 | C25 | 1 | 9 | yes | — |
| 564 | C22×C4 | C25 | 1 | 36 | yes | — |
| 565 | C22×C4 | C25 | 1 | 24 | yes | — |
| 566 | C22×C4 | C25 | 1 | 144 | yes | — |
| 567 | C22×C4 | C25 | 1 | 6 | yes | — |
| 568 | C4⋊C4 | C25 | 1 | 18 | yes | — |
| 569 | C4⋊C4 | C25 | 1 | 24 | yes | — |
| 570 | C4⋊C4 | C25 | 1 | 6 | yes | — |
| 571 | C4⋊C4 | C25 | 1 | 6 | yes | — |
| 572 | C4⋊C4 | C25 | 1 | 12 | yes | — |
| 573 | C4⋊C4 | C25 | 1 | 12 | yes | — |
| 574 | C4⋊C4 | C25 | 1 | 72 | yes | — |
| 575 | C4⋊C4 | C25 | 1 | 18 | yes | — |
| 576 | C4⋊C4 | C25 | 1 | 36 | yes | — |
| 577 | C4⋊C4 | C25 | 1 | 36 | yes | — |
| 578 | C4⋊C4 | C25 | 1 | 24 | yes | — |
| 579 | C4⋊C4 | C25 | 1 | 4 | yes | — |
| 580 | C4⋊C4 | C25 | 1 | 24 | yes | — |
| 581 | C4⋊C4 | C25 | 1 | 24 | yes | — |
| 582 | C4⋊C4 | C25 | 1 | 36 | yes | — |
| 583 | C22⋊C4 | C25 | 1 | 24 | yes | — |
| 584 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 585 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 586 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 587 | C22⋊C4 | C25 | 1 | 12 | yes | — |
| 588 | C22⋊C4 | C25 | 1 | 144 | yes | — |
| 589 | C22⋊C4 | C25 | 1 | 72 | yes | — |
| 590 | C22⋊C4 | C25 | 1 | 72 | yes | — |
| 591 | C22⋊C4 | C25 | 1 | 72 | yes | — |
| 592 | C22⋊C4 | C25 | 1 | 144 | yes | — |
| 593 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 594 | C22⋊C4 | C25 | 1 | 36 | yes | — |
| 595 | C42 | C25 | 1 | 1 | yes | characteristic |
| 596 | C42 | C25 | 1 | 6 | yes | — |
| 597 | C42 | C25 | 1 | 9 | yes | — |
| 598 | C42 | C25 | 1 | 6 | yes | — |
| 599 | C42 | C25 | 1 | 6 | yes | — |
| 600 | C42 | C25 | 1 | 9 | yes | — |
| 601 | C42 | C25 | 1 | 24 | yes | — |
| 602 | C42 | C25 | 1 | 18 | yes | — |
| 603 | C42 | C25 | 1 | 9 | yes | — |
| 604 | C42 | C25 | 1 | 18 | yes | — |
| 605 | C42 | C25 | 1 | 18 | yes | — |
| 606 | C42 | C25 | 1 | 36 | yes | — |
| 607 | C23 | — | 2 | 36 | no | — |
| 608 | C23 | — | 2 | 144 | no | — |
| 609 | C23 | — | 4 | 9 | no | — |
| 610 | C23 | — | 4 | 72 | no | — |
| 611 | C23 | — | 4 | 72 | no | — |
| 612 | C23 | — | 4 | 144 | no | — |
| 613 | C23 | — | 4 | 72 | no | — |
| 614 | C23 | — | 16 | 144 | no | — |
| 615 | C23 | C26 | 1 | 9 | yes | — |
| 616 | C23 | C26 | 1 | 36 | yes | — |
| 617 | C23 | C26 | 1 | 6 | yes | — |
| 618 | Q8 | — | 2 | 36 | no | — |
| 619 | Q8 | — | 2 | 24 | no | — |
| 620 | Q8 | — | 2 | 4 | no | — |
| 621 | Q8 | — | 4 | 24 | no | — |
| 622 | Q8 | — | 4 | 6 | no | — |
| 623 | Q8 | C2×H(5,𝔽2) | 1 | 8 | yes | complemented |
| 624 | D4 | — | 2 | 144 | no | — |
| 625 | D4 | — | 2 | 72 | no | — |
| 626 | D4 | — | 2 | 144 | no | — |
| 627 | D4 | — | 2 | 72 | no | — |
| 628 | D4 | — | 2 | 36 | no | — |
| 629 | D4 | — | 2 | 36 | no | — |
| 630 | D4 | — | 4 | 72 | no | — |
| 631 | D4 | — | 4 | 144 | no | — |
| 632 | D4 | — | 4 | 144 | no | — |
| 633 | D4 | — | 4 | 72 | no | — |
| 634 | D4 | — | 4 | 72 | no | — |
| 635 | D4 | — | 4 | 18 | no | — |
| 636 | D4 | — | 4 | 36 | no | — |
| 637 | D4 | C2×H(5,𝔽2) | 1 | 24 | yes | complemented |
| 638 | C2×C4 | — | 2 | 36 | no | — |
| 639 | C2×C4 | — | 2 | 12 | no | — |
| 640 | C2×C4 | — | 2 | 36 | no | — |
| 641 | C2×C4 | — | 2 | 36 | no | — |
| 642 | C2×C4 | — | 2 | 36 | no | — |
| 643 | C2×C4 | — | 2 | 144 | no | — |
| 644 | C2×C4 | — | 2 | 12 | no | — |
| 645 | C2×C4 | — | 2 | 18 | no | — |
| 646 | C2×C4 | — | 4 | 24 | no | — |
| 647 | C2×C4 | — | 4 | 144 | no | — |
| 648 | C2×C4 | — | 4 | 9 | no | — |
| 649 | C2×C4 | — | 4 | 18 | no | — |
| 650 | C2×C4 | — | 4 | 36 | no | — |
| 651 | C2×C4 | C2×H(5,𝔽2) | 1 | 24 | yes | complemented |
| 652 | C2×C4 | C26 | 1 | 9 | yes | — |
| 653 | C2×C4 | C26 | 1 | 6 | yes | — |
| 654 | C2×C4 | C26 | 1 | 6 | yes | — |
| 655 | C2×C4 | C26 | 1 | 4 | yes | — |
| 656 | C2×C4 | C26 | 1 | 24 | yes | — |
| 657 | C2×C4 | C26 | 1 | 18 | yes | — |
| 658 | C2×C4 | C26 | 1 | 2 | yes | — |
| 659 | C2×C4 | C26 | 1 | 6 | yes | — |
| 660 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 661 | C22 | — | 2 | 6 | no | — |
| 662 | C22 | — | 2 | 6 | no | — |
| 663 | C22 | — | 2 | 18 | no | — |
| 664 | C22 | — | 2 | 72 | no | — |
| 665 | C22 | — | 2 | 9 | no | — |
| 666 | C22 | — | 2 | 36 | no | — |
| 667 | C22 | — | 4 | 36 | no | — |
| 668 | C22 | — | 8 | 144 | no | — |
| 669 | C22 | — | 16 | 72 | no | — |
| 670 | C22 | C22×H(5,𝔽2) | 1 | 12 | yes | — |
| 671 | C22 | C27 | 1 | 1 | yes | characteristic |
| 672 | C4 | — | 2 | 6 | no | — |
| 673 | C4 | — | 2 | 24 | no | — |
| 674 | C4 | — | 2 | 18 | no | — |
| 675 | C4 | — | 2 | 6 | no | — |
| 676 | C4 | — | 2 | 9 | no | — |
| 677 | C4 | — | 2 | 4 | no | — |
| 678 | C4 | C22×H(5,𝔽2) | 1 | 12 | yes | — |
| 679 | C4 | C22×H(5,𝔽2) | 1 | 4 | yes | — |
| 680 | C4 | H(7,𝔽2) | 1 | 2 | yes | — |
| 681 | C2 | — | 2 | 12 | no | — |
| 682 | C2 | — | 4 | 9 | no | — |
| 683 | C2 | — | 4 | 36 | no | — |
| 684 | C2 | C23×H(5,𝔽2) | 1 | 2 | yes | — |
| 685 | C2 | C2×H(7,𝔽2) | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. #63040 | C2 | semidirect |
| 2. #63014 | C2 | semidirect |
| 3. #63011 | C2 | semidirect |
| 4. #62986 | C2 | semidirect |
| 5. D4×H(5,𝔽2) | C2 | semidirect |
| 6. #62916 | C2 | semidirect |
| 7. #62912 | C2 | semidirect |
| 8. #62834 | C2 | semidirect |
| 9. #62832 | C2 | semidirect |
| 10. #62800 | C2 | semidirect |
| 11. C2×#3498 | C2 | semidirect |
| 12. #412 | C2 | semidirect |
| 13. C22×H(5,𝔽2) | C22 | semidirect |
| 14. #3558 | C22 | semidirect |
| 15. #3549 | C22 | semidirect |
| 16. #3549 | C22 | semidirect |
| 17. #3548 | C22 | semidirect |
| 18. #3546 | C22 | semidirect |
| 19. #3546 | C22 | semidirect |
| 20. #3543 | C22 | semidirect |
| 21. #3543 | C22 | semidirect |
| 22. #3543 | C22 | semidirect |
| 23. #3543 | C22 | semidirect |
| 24. #3542 | C22 | semidirect |
| 25. #3537 | C22 | semidirect |
| 26. #3537 | C22 | semidirect |
| 27. #3532 | C22 | semidirect |
| 28. #3522 | C22 | semidirect |
| 29. #3519 | C22 | semidirect |
| 30. #3519 | C22 | semidirect |
| 31. #3519 | C22 | semidirect |
| 32. #3517 | C22 | semidirect |
| 33. #3517 | C22 | semidirect |
| 34. #3514 | C22 | semidirect |
| 35. #3511 | C22 | semidirect |
| 36. #3508 | C22 | semidirect |
| 37. #3508 | C22 | semidirect |
| 38. #3508 | C22 | semidirect |
| 39. #3508 | C22 | semidirect |
| 40. #3506 | C22 | semidirect |
| 41. #3503 | C22 | semidirect |
| 42. #3498 | C22 | semidirect |
| 43. #3498 | C22 | semidirect |
| 44. #3498 | C22 | semidirect |
| 45. #3498 | C22 | semidirect |
| 46. #3498 | C22 | semidirect |
| 47. #3498 | C22 | semidirect |
| 48. #3498 | C22 | semidirect |
| 49. #3498 | C22 | semidirect |
| 50. #3498 | C22 | semidirect |
| 51. #3498 | C22 | semidirect |
| 52. #3498 | C22 | semidirect |
| 53. #3498 | C22 | semidirect |
| 54. #3496 | C22 | semidirect |
| 55. #3496 | C22 | semidirect |
| 56. #3494 | C22 | semidirect |
| 57. #3488 | C22 | semidirect |
| 58. #3488 | C22 | semidirect |
| 59. #3488 | C22 | semidirect |
| 60. #3484 | C22 | semidirect |
| 61. #3484 | C22 | semidirect |
| 62. #3484 | C22 | semidirect |
| 63. #3483 | C22 | semidirect |
| 64. #3483 | C22 | semidirect |
| 65. #3483 | C22 | semidirect |
| 66. #3482 | C22 | semidirect |
| 67. #3481 | C22 | semidirect |
| 68. #3481 | C22 | semidirect |
| 69. #3480 | C22 | semidirect |
| 70. #3480 | C22 | semidirect |
| 71. Q8×#41 | C22 | semidirect |
| 72. #3475 | C22 | semidirect |
| 73. D4×#41 | C22 | semidirect |
| 74. D4×#41 | C22 | semidirect |
| 75. D4×#41 | C22 | semidirect |
| 76. C2×#550 | C22 | semidirect |
| 77. C2×#550 | C22 | semidirect |
| 78. C2×D42 | C22 | semidirect |
| 79. C2×D42 | C22 | semidirect |
| 80. C2×D42 | C22 | semidirect |
| 81. #3460 | C22 | semidirect |
| 82. C2×#535 | C22 | semidirect |
| 83. #3444 | C22 | semidirect |
| 84. #3444 | C22 | semidirect |
| 85. C2×#532 | C22 | semidirect |
| 86. C22×#127 | C22 | semidirect |
| 87. C4×H(5,𝔽2) | C22 | semidirect |
| 88. C2×C4×#41 | C22 | semidirect |
| 91. C2×H(5,𝔽2) | C23 | semidirect |
| 92. C2×H(5,𝔽2) | C23 | semidirect |
| 93. C2×H(5,𝔽2) | C23 | semidirect |
| 94. C2×H(5,𝔽2) | C23 | semidirect |
| 96. C22×#41 | C23 | semidirect |
| 97. C22×#41 | C23 | semidirect |
| 98. C23×D4 | C23 | semidirect |
| 99. C23×D4 | C23 | semidirect |
| 100. C23×D4 | C23 | semidirect |
| 101. #562 | C23 | semidirect |
| 102. H(3,𝔽4) | C23 | semidirect |
| 103. #560 | C23 | semidirect |
| 104. #560 | C23 | semidirect |
| 105. #559 | C23 | semidirect |
| 106. #559 | C23 | semidirect |
| 107. #559 | C23 | semidirect |
| 108. #559 | C23 | semidirect |
| 109. Q82 | C23 | semidirect |
| 110. Q82 | C23 | semidirect |
| 111. #557 | C23 | semidirect |
| 112. #557 | C23 | semidirect |
| 113. #556 | C23 | semidirect |
| 114. #556 | C23 | semidirect |
| 115. #555 | C23 | semidirect |
| 116. #555 | C23 | semidirect |
| 117. #555 | C23 | semidirect |
| 118. #555 | C23 | semidirect |
| 119. #554 | C23 | semidirect |
| 120. #554 | C23 | semidirect |
| 121. #554 | C23 | semidirect |
| 122. #553 | C23 | semidirect |
| 123. #553 | C23 | semidirect |
| 124. #553 | C23 | semidirect |
| 125. #553 | C23 | semidirect |
| 126. #553 | C23 | semidirect |
| 127. #552 | C23 | semidirect |
| 128. #551 | C23 | semidirect |
| 129. #551 | C23 | semidirect |
| 130. #550 | C23 | semidirect |
| 131. #550 | C23 | semidirect |
| 132. #550 | C23 | semidirect |
| 133. #550 | C23 | semidirect |
| 134. #550 | C23 | semidirect |
| 135. #550 | C23 | semidirect |
| 136. #550 | C23 | semidirect |
| 137. #550 | C23 | semidirect |
| 138. #550 | C23 | semidirect |
| 139. #550 | C23 | semidirect |
| 140. #550 | C23 | semidirect |
| 141. #550 | C23 | semidirect |
| 142. #550 | C23 | semidirect |
| 143. #550 | C23 | semidirect |
| 144. D4×Q8 | C23 | semidirect |
| 145. D4×Q8 | C23 | semidirect |
| 146. #548 | C23 | semidirect |
| 147. #548 | C23 | semidirect |
| 148. #548 | C23 | semidirect |
| 149. #547 | C23 | semidirect |
| 150. #547 | C23 | semidirect |
| 151. #547 | C23 | semidirect |
| 152. #547 | C23 | semidirect |
| 153. #546 | C23 | semidirect |
| 154. #546 | C23 | semidirect |
| 155. #546 | C23 | semidirect |
| 156. #546 | C23 | semidirect |
| 157. #546 | C23 | semidirect |
| 158. #546 | C23 | semidirect |
| 159. #546 | C23 | semidirect |
| 160. #546 | C23 | semidirect |
| 161. #546 | C23 | semidirect |
| 162. #546 | C23 | semidirect |
| 163. #546 | C23 | semidirect |
| 164. D42 | C23 | semidirect |
| 165. D42 | C23 | semidirect |
| 166. D42 | C23 | semidirect |
| 167. D42 | C23 | semidirect |
| 168. D42 | C23 | semidirect |
| 169. D42 | C23 | semidirect |
| 170. D42 | C23 | semidirect |
| 171. D42 | C23 | semidirect |
| 172. D42 | C23 | semidirect |
| 173. D42 | C23 | semidirect |
| 174. D42 | C23 | semidirect |
| 175. D42 | C23 | semidirect |
| 176. D42 | C23 | semidirect |
| 177. D42 | C23 | semidirect |
| 178. D42 | C23 | semidirect |
| 179. D42 | C23 | semidirect |
| 180. D42 | C23 | semidirect |
| 181. D42 | C23 | semidirect |
| 182. D42 | C23 | semidirect |
| 183. D42 | C23 | semidirect |
| 184. #544 | C23 | semidirect |
| 185. #542 | C23 | semidirect |
| 186. #542 | C23 | semidirect |
| 187. #540 | C23 | semidirect |
| 188. #540 | C23 | semidirect |
| 189. #540 | C23 | semidirect |
| 190. #540 | C23 | semidirect |
| 191. #540 | C23 | semidirect |
| 192. #538 | C23 | semidirect |
| 193. #538 | C23 | semidirect |
| 194. #538 | C23 | semidirect |
| 195. #537 | C23 | semidirect |
| 196. #537 | C23 | semidirect |
| 197. #535 | C23 | semidirect |
| 198. #535 | C23 | semidirect |
| 199. #535 | C23 | semidirect |
| 200. #535 | C23 | semidirect |
| 201. #535 | C23 | semidirect |
| 202. #535 | C23 | semidirect |
| 203. #535 | C23 | semidirect |
| 204. #535 | C23 | semidirect |
| 205. #535 | C23 | semidirect |
| 206. #535 | C23 | semidirect |
| 207. #535 | C23 | semidirect |
| 208. #535 | C23 | semidirect |
| 209. #534 | C23 | semidirect |
| 210. #534 | C23 | semidirect |
| 211. #534 | C23 | semidirect |
| 212. #533 | C23 | semidirect |
| 213. #533 | C23 | semidirect |
| 214. #533 | C23 | semidirect |
| 215. #533 | C23 | semidirect |
| 216. #532 | C23 | semidirect |
| 217. #532 | C23 | semidirect |
| 218. #532 | C23 | semidirect |
| 219. #532 | C23 | semidirect |
| 220. #532 | C23 | semidirect |
| 221. #532 | C23 | semidirect |
| 222. #532 | C23 | semidirect |
| 223. #532 | C23 | semidirect |
| 224. #532 | C23 | semidirect |
| 225. #532 | C23 | semidirect |
| 226. #532 | C23 | semidirect |
| 227. #532 | C23 | semidirect |
| 228. #532 | C23 | semidirect |
| 229. #532 | C23 | semidirect |
| 230. C2×C4⋊Q8 | C23 | semidirect |
| 231. C2×#127 | C23 | semidirect |
| 232. C2×#127 | C23 | semidirect |
| 233. C2×#127 | C23 | semidirect |
| 234. C2×#127 | C23 | semidirect |
| 235. C2×#127 | C23 | semidirect |
| 236. C2×#127 | C23 | semidirect |
| 237. C2×#127 | C23 | semidirect |
| 238. C2×#127 | C23 | semidirect |
| 239. #529 | C23 | semidirect |
| 240. #529 | C23 | semidirect |
| 241. #529 | C23 | semidirect |
| 242. #529 | C23 | semidirect |
| 243. #529 | C23 | semidirect |
| 244. #529 | C23 | semidirect |
| 245. #529 | C23 | semidirect |
| 246. C2×#124 | C23 | semidirect |
| 247. #525 | C23 | semidirect |
| 248. #525 | C23 | semidirect |
| 249. #525 | C23 | semidirect |
| 250. #525 | C23 | semidirect |
| 251. #525 | C23 | semidirect |
| 252. #525 | C23 | semidirect |
| 253. C2×#121 | C23 | semidirect |
| 254. C2×#121 | C23 | semidirect |
| 255. C2×#121 | C23 | semidirect |
| 256. C2×#121 | C23 | semidirect |
| 257. C2×#121 | C23 | semidirect |
| 258. C2×#120 | C23 | semidirect |
| 259. C2×#120 | C23 | semidirect |
| 261. #520 | C23 | semidirect |
| 262. #520 | C23 | semidirect |
| 263. #518 | C23 | semidirect |
| 264. #518 | C23 | semidirect |
| 265. #518 | C23 | semidirect |
| 268. C4×#41 | C23 | semidirect |
| 269. C4×#41 | C23 | semidirect |
| 270. C4×#41 | C23 | semidirect |
| 271. C4×#41 | C23 | semidirect |
| 272. C4×#41 | C23 | semidirect |
| 273. C4×#41 | C23 | semidirect |
| 274. C4×#41 | C23 | semidirect |
| 275. C4×#41 | C23 | semidirect |
| 276. C4×#41 | C23 | semidirect |
| 277. C4×#41 | C23 | semidirect |
| 278. C2×C4×Q8 | C23 | semidirect |
| 279. C2×C4×Q8 | C23 | semidirect |
| 280. C2×C4×D4 | C23 | semidirect |
| 281. C2×C4×D4 | C23 | semidirect |
| 282. C2×C4×D4 | C23 | semidirect |
| 283. C2×C4×D4 | C23 | semidirect |
| 284. C2×C4×D4 | C23 | semidirect |
| 285. C2×#117 | C23 | semidirect |
| 286. C22×C42 | C23 | semidirect |
| 512. #41 | H(5,𝔽2) | semidirect |
| 623. Q8 | C2×H(5,𝔽2) | semidirect |
| 637. D4 | C2×H(5,𝔽2) | semidirect |
| 651. C2×C4 | C2×H(5,𝔽2) | semidirect |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta