← #72337210
Subgroups — #72337210
Order 1024.
306877 conjugacy classes of subgroups.
The subgroup lattice has 968 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C24×H(5,𝔽2) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#62987 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #7633151 | C2 | 1 | 18 | yes | maximal, complemented |
| 4 | #7633038 | C2 | 1 | 18 | yes | maximal, complemented |
| 5 | #7631581 | C2 | 1 | 27 | yes | maximal, complemented |
| 6 | #7631287 | C2 | 1 | 27 | yes | maximal, complemented |
| 7 | #7631237 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #7630939 | C2 | 1 | 9 | yes | maximal, complemented |
| 9 | #41×#120 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | C2×#36152 | C2 | 1 | 9 | yes | maximal, complemented |
| 11 | C22⋊C4×H(5,𝔽2) | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | C22×#585 | C22 | 1 | 1 | yes | characteristic, complemented |
| 13 | C23×H(5,𝔽2) | — | 2 | 96 | no | — |
| 14 | C23×H(5,𝔽2) | C22 | 1 | 3 | yes | — |
| 15 | C23×H(5,𝔽2) | C22 | 1 | 18 | yes | complemented |
| 16 | C23×H(5,𝔽2) | C22 | 1 | 27 | yes | complemented |
| 17 | C24×#41 | C22 | 1 | 6 | yes | complemented |
| 18 | C25×D4 | C22 | 1 | 9 | yes | complemented |
| 19 | #62987 | — | 2 | 96 | no | — |
| 20 | C2×#3500 | C22 | 1 | 18 | yes | complemented |
| 21 | C2×#3489 | C22 | 1 | 18 | yes | complemented |
| 22 | C2×#3488 | C22 | 1 | 18 | yes | complemented |
| 23 | C2×#3485 | C22 | 1 | 27 | yes | complemented |
| 24 | C2×#3496 | C22 | 1 | 27 | yes | complemented |
| 25 | C2×#3484 | C22 | 1 | 27 | yes | complemented |
| 26 | C2×D4×#41 | C22 | 1 | 18 | yes | complemented |
| 27 | C22×#546 | C22 | 1 | 27 | yes | complemented |
| 28 | C2×C4×H(5,𝔽2) | C22 | 1 | 3 | yes | complemented |
| 29 | #36614 | C22 | 1 | 18 | yes | complemented |
| 30 | C2×#2848 | C22 | 1 | 9 | yes | complemented |
| 31 | C2×#2846 | C22 | 1 | 18 | yes | complemented |
| 32 | #36575 | C22 | 1 | 2 | yes | complemented |
| 33 | Q8×#120 | C22 | 1 | 6 | yes | complemented |
| 34 | #36429 | C22 | 1 | 18 | yes | complemented |
| 35 | #36428 | C22 | 1 | 36 | yes | complemented |
| 36 | #36428 | C22 | 1 | 18 | yes | complemented |
| 37 | #36213 | C22 | 1 | 108 | yes | complemented |
| 38 | #36213 | C22 | 1 | 54 | yes | complemented |
| 39 | #36212 | C22 | 1 | 54 | yes | complemented |
| 40 | #36152 | C22 | 1 | 36 | yes | complemented |
| 41 | #36152 | C22 | 1 | 18 | yes | complemented |
| 42 | #36152 | C22 | 1 | 108 | yes | complemented |
| 43 | #36152 | C22 | 1 | 108 | yes | complemented |
| 44 | #36152 | C22 | 1 | 108 | yes | complemented |
| 45 | D4×#120 | C22 | 1 | 18 | yes | complemented |
| 46 | D4×#120 | C22 | 1 | 108 | yes | complemented |
| 47 | #36091 | C22 | 1 | 12 | yes | complemented |
| 48 | #36082 | C22 | 1 | 36 | yes | complemented |
| 49 | #35750 | C22 | 1 | 108 | yes | complemented |
| 50 | #35750 | C22 | 1 | 216 | yes | complemented |
| 51 | #35680 | C22 | 1 | 108 | yes | complemented |
| 52 | #35616 | C22 | 1 | 54 | yes | complemented |
| 53 | #35513 | C22 | 1 | 108 | yes | complemented |
| 54 | #35512 | C22 | 1 | 54 | yes | complemented |
| 55 | #35446 | C22 | 1 | 36 | yes | complemented |
| 56 | #35347 | C22 | 1 | 108 | yes | complemented |
| 57 | #35305 | C22 | 1 | 54 | yes | complemented |
| 58 | #35251 | C22 | 1 | 54 | yes | complemented |
| 59 | #35222 | C22 | 1 | 54 | yes | complemented |
| 60 | #34980 | C22 | 1 | 108 | yes | complemented |
| 61 | #34738 | C22 | 1 | 54 | yes | complemented |
| 62 | #34736 | C22 | 1 | 54 | yes | complemented |
| 63 | C2×#2435 | C22 | 1 | 27 | yes | complemented |
| 64 | C2×#2408 | C22 | 1 | 27 | yes | complemented |
| 65 | C2×#2405 | C22 | 1 | 54 | yes | complemented |
| 66 | C2×#2410 | C22 | 1 | 54 | yes | complemented |
| 67 | #34258 | C22 | 1 | 36 | yes | complemented |
| 68 | #34256 | C22 | 1 | 54 | yes | complemented |
| 69 | #34175 | C22 | 1 | 18 | yes | complemented |
| 70 | #34171 | C22 | 1 | 27 | yes | complemented |
| 71 | C22⋊C4×#41 | C22 | 1 | 18 | yes | complemented |
| 72 | C2×D4×C22⋊C4 | C22 | 1 | 27 | yes | complemented |
| 73 | C2×C4×#120 | C22 | 1 | 9 | yes | complemented |
| 74 | C22×#379 | C22 | 1 | 6 | yes | complemented |
| 75 | C27 | C23 | 1 | 6 | yes | — |
| 76 | C2×#585 | — | 2 | 48 | no | — |
| 77 | C22×2−1+4 | C23 | 1 | 6 | yes | complemented |
| 78 | C22×H(5,𝔽2) | — | 2 | 2048 | no | — |
| 79 | C22×H(5,𝔽2) | — | 2 | 96 | no | — |
| 80 | C22×H(5,𝔽2) | — | 2 | 864 | no | — |
| 81 | C22×H(5,𝔽2) | — | 2 | 576 | no | — |
| 82 | C22×H(5,𝔽2) | — | 2 | 288 | no | — |
| 83 | C22×H(5,𝔽2) | — | 2 | 432 | no | — |
| 84 | C22×H(5,𝔽2) | D4 | 1 | 96 | yes | complemented |
| 85 | C22×H(5,𝔽2) | C23 | 1 | 36 | yes | — |
| 86 | C22×H(5,𝔽2) | C23 | 1 | 54 | yes | — |
| 87 | C22×H(5,𝔽2) | C23 | 1 | 108 | yes | — |
| 88 | C22×H(5,𝔽2) | C23 | 1 | 12 | yes | — |
| 89 | C22×H(5,𝔽2) | C23 | 1 | 27 | yes | — |
| 90 | C22×H(5,𝔽2) | C23 | 1 | 18 | yes | — |
| 91 | C22×H(5,𝔽2) | C23 | 1 | 1 | yes | characteristic |
| 92 | C22×H(5,𝔽2) | C23 | 1 | 9 | yes | complemented |
| 93 | C23×#41 | — | 2 | 288 | no | — |
| 94 | C23×#41 | C23 | 1 | 18 | yes | — |
| 95 | C23×#41 | C23 | 1 | 54 | yes | — |
| 96 | C23×#41 | C23 | 1 | 54 | yes | — |
| 97 | C23×#41 | C23 | 1 | 18 | yes | — |
| 98 | C23×#41 | C23 | 1 | 9 | yes | complemented |
| 99 | C23×#41 | C23 | 1 | 6 | yes | complemented |
| 100 | C24×Q8 | C23 | 1 | 2 | yes | — |
| 101 | C24×D4 | — | 2 | 432 | no | — |
| 102 | C24×D4 | C23 | 1 | 18 | yes | — |
| 103 | C24×D4 | C23 | 1 | 108 | yes | — |
| 104 | C24×D4 | C23 | 1 | 54 | yes | — |
| 105 | C24×D4 | C23 | 1 | 27 | yes | — |
| 106 | C24×D4 | C23 | 1 | 27 | yes | — |
| 107 | C25×C4 | C23 | 1 | 9 | yes | — |
| 108 | #3500 | — | 2 | 288 | no | — |
| 109 | #3496 | — | 2 | 432 | no | — |
| 110 | #3489 | — | 2 | 288 | no | — |
| 111 | #3488 | — | 2 | 288 | no | — |
| 112 | #3485 | — | 2 | 432 | no | — |
| 113 | #3484 | — | 2 | 432 | no | — |
| 114 | D4×#41 | — | 2 | 288 | no | — |
| 115 | C2×#550 | C23 | 1 | 18 | yes | complemented |
| 116 | C2×D4×Q8 | C23 | 1 | 18 | yes | complemented |
| 117 | C2×#548 | C23 | 1 | 6 | yes | complemented |
| 118 | C2×#548 | C23 | 1 | 36 | yes | complemented |
| 119 | C2×#548 | C23 | 1 | 18 | yes | complemented |
| 120 | C2×#547 | C23 | 1 | 108 | yes | complemented |
| 121 | C2×#547 | C23 | 1 | 54 | yes | complemented |
| 122 | C2×#546 | — | 2 | 432 | no | — |
| 123 | C2×#546 | C23 | 1 | 108 | yes | complemented |
| 124 | C2×#546 | C23 | 1 | 54 | yes | complemented |
| 125 | C2×#546 | C23 | 1 | 108 | yes | complemented |
| 126 | C2×#546 | C23 | 1 | 108 | yes | complemented |
| 127 | C2×#546 | C23 | 1 | 108 | yes | complemented |
| 128 | C2×#546 | C23 | 1 | 54 | yes | complemented |
| 129 | C2×D42 | C23 | 1 | 54 | yes | complemented |
| 130 | C2×D42 | C23 | 1 | 108 | yes | complemented |
| 131 | C2×#537 | C23 | 1 | 54 | yes | complemented |
| 132 | C2×#536 | C23 | 1 | 54 | yes | complemented |
| 133 | C2×#535 | C23 | 1 | 54 | yes | complemented |
| 134 | C2×#534 | C23 | 1 | 108 | yes | complemented |
| 135 | C2×#532 | C23 | 1 | 54 | yes | complemented |
| 136 | C22×#124 | C23 | 1 | 27 | yes | complemented |
| 137 | C2×#525 | C23 | 1 | 54 | yes | complemented |
| 138 | C2×#525 | C23 | 1 | 54 | yes | complemented |
| 139 | C22×#123 | C23 | 1 | 54 | yes | complemented |
| 140 | C22×C22⋊Q8 | C23 | 1 | 27 | yes | complemented |
| 141 | C22×#121 | C23 | 1 | 54 | yes | complemented |
| 142 | C22×#121 | C23 | 1 | 27 | yes | complemented |
| 143 | C22×#120 | C23 | 1 | 9 | yes | — |
| 144 | C22×#120 | C23 | 1 | 54 | yes | complemented |
| 145 | C22×#120 | C23 | 1 | 54 | yes | complemented |
| 146 | C4×H(5,𝔽2) | — | 2 | 48 | no | — |
| 147 | C2×#520 | C23 | 1 | 18 | yes | complemented |
| 148 | C2×#518 | C23 | 1 | 27 | yes | complemented |
| 149 | C2×C4×#41 | C23 | 1 | 18 | yes | complemented |
| 150 | C22×C4×D4 | C23 | 1 | 27 | yes | complemented |
| 151 | C22×C4×D4 | C23 | 1 | 27 | yes | complemented |
| 152 | C23×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 153 | C23×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 154 | #2849 | C23 | 1 | 108 | yes | complemented |
| 155 | #2848 | C23 | 1 | 18 | yes | — |
| 156 | #2848 | C23 | 1 | 108 | yes | complemented |
| 157 | #2848 | C23 | 1 | 54 | yes | complemented |
| 158 | #2847 | C23 | 1 | 6 | yes | — |
| 159 | #2847 | C23 | 1 | 54 | yes | complemented |
| 160 | #2846 | C23 | 1 | 36 | yes | — |
| 161 | #2846 | C23 | 1 | 216 | yes | complemented |
| 162 | #2616 | C23 | 1 | 108 | yes | complemented |
| 163 | #2615 | C23 | 1 | 36 | yes | complemented |
| 164 | #2613 | C23 | 1 | 216 | yes | complemented |
| 165 | #2436 | C23 | 1 | 18 | yes | complemented |
| 166 | #2435 | C23 | 1 | 54 | yes | complemented |
| 167 | #2435 | C23 | 1 | 108 | yes | complemented |
| 168 | #2435 | C23 | 1 | 108 | yes | complemented |
| 169 | #2435 | C23 | 1 | 216 | yes | complemented |
| 170 | #2434 | C23 | 1 | 54 | yes | complemented |
| 171 | #2433 | C23 | 1 | 54 | yes | complemented |
| 172 | #2433 | C23 | 1 | 108 | yes | complemented |
| 173 | #2432 | C23 | 1 | 108 | yes | complemented |
| 174 | #2432 | C23 | 1 | 216 | yes | complemented |
| 175 | #2431 | C23 | 1 | 108 | yes | complemented |
| 176 | #2430 | C23 | 1 | 216 | yes | complemented |
| 177 | #2430 | C23 | 1 | 216 | yes | complemented |
| 178 | #2410 | C23 | 1 | 108 | yes | complemented |
| 179 | #2410 | C23 | 1 | 216 | yes | complemented |
| 180 | #2410 | C23 | 1 | 108 | yes | complemented |
| 181 | #2410 | C23 | 1 | 432 | yes | complemented |
| 182 | #2410 | C23 | 1 | 432 | yes | complemented |
| 183 | #2409 | C23 | 1 | 54 | yes | complemented |
| 184 | #2409 | C23 | 1 | 18 | yes | complemented |
| 185 | #2408 | C23 | 1 | 54 | yes | complemented |
| 186 | #2408 | C23 | 1 | 108 | yes | complemented |
| 187 | #2408 | C23 | 1 | 54 | yes | complemented |
| 188 | #2408 | C23 | 1 | 108 | yes | complemented |
| 189 | #2408 | C23 | 1 | 108 | yes | complemented |
| 190 | #2408 | C23 | 1 | 216 | yes | complemented |
| 191 | #2407 | C23 | 1 | 216 | yes | complemented |
| 192 | #2407 | C23 | 1 | 108 | yes | complemented |
| 193 | #2407 | C23 | 1 | 108 | yes | complemented |
| 194 | #2406 | C23 | 1 | 216 | yes | complemented |
| 195 | #2406 | C23 | 1 | 108 | yes | complemented |
| 196 | #2405 | C23 | 1 | 108 | yes | complemented |
| 197 | #2405 | C23 | 1 | 216 | yes | complemented |
| 198 | #2405 | C23 | 1 | 216 | yes | complemented |
| 199 | #2405 | C23 | 1 | 216 | yes | complemented |
| 200 | #2405 | C23 | 1 | 216 | yes | complemented |
| 201 | #2404 | C23 | 1 | 108 | yes | complemented |
| 202 | #2403 | C23 | 1 | 108 | yes | complemented |
| 203 | #2403 | C23 | 1 | 216 | yes | complemented |
| 204 | #2388 | C23 | 1 | 108 | yes | complemented |
| 205 | #2388 | C23 | 1 | 36 | yes | complemented |
| 206 | C2×#394 | C23 | 1 | 108 | yes | complemented |
| 207 | C2×#394 | C23 | 1 | 54 | yes | complemented |
| 208 | C2×#392 | C23 | 1 | 54 | yes | complemented |
| 209 | #2341 | C23 | 1 | 36 | yes | complemented |
| 210 | #2341 | C23 | 1 | 36 | yes | complemented |
| 211 | Q8×C22⋊C4 | C23 | 1 | 6 | yes | complemented |
| 212 | Q8×C22⋊C4 | C23 | 1 | 18 | yes | complemented |
| 213 | #2339 | C23 | 1 | 108 | yes | complemented |
| 214 | #2339 | C23 | 1 | 108 | yes | complemented |
| 215 | D4×C22⋊C4 | C23 | 1 | 54 | yes | complemented |
| 216 | D4×C22⋊C4 | C23 | 1 | 108 | yes | complemented |
| 217 | D4×C22⋊C4 | C23 | 1 | 54 | yes | complemented |
| 218 | D4×C22⋊C4 | C23 | 1 | 216 | yes | complemented |
| 219 | D4×C22⋊C4 | C23 | 1 | 216 | yes | complemented |
| 220 | #2311 | C23 | 1 | 108 | yes | complemented |
| 221 | #2309 | C23 | 1 | 54 | yes | complemented |
| 222 | #2308 | C23 | 1 | 108 | yes | complemented |
| 223 | C4×#120 | C23 | 1 | 18 | yes | — |
| 224 | C4×#120 | C23 | 1 | 6 | yes | — |
| 225 | C4×#120 | C23 | 1 | 108 | yes | complemented |
| 226 | C4×#120 | C23 | 1 | 54 | yes | complemented |
| 227 | C4×#120 | C23 | 1 | 54 | yes | complemented |
| 228 | #2297 | C23 | 1 | 108 | yes | complemented |
| 229 | C2×#390 | C23 | 1 | 54 | yes | complemented |
| 230 | C2×#386 | C23 | 1 | 27 | yes | complemented |
| 231 | C2×#386 | C23 | 1 | 108 | yes | complemented |
| 232 | C2×#385 | C23 | 1 | 54 | yes | complemented |
| 233 | C2×#385 | C23 | 1 | 27 | yes | complemented |
| 234 | #2280 | C23 | 1 | 54 | yes | complemented |
| 235 | C2×#380 | C23 | 1 | 27 | yes | complemented |
| 236 | C2×#379 | C23 | 1 | 18 | yes | — |
| 237 | C2×#379 | C23 | 1 | 9 | yes | — |
| 238 | C2×#379 | C23 | 1 | 54 | yes | complemented |
| 239 | C2×#379 | C23 | 1 | 54 | yes | complemented |
| 240 | C2×#379 | C23 | 1 | 54 | yes | complemented |
| 241 | C2×#379 | C23 | 1 | 54 | yes | complemented |
| 242 | C2×C4×C22⋊C4 | C23 | 1 | 27 | yes | complemented |
| 243 | C26 | — | 2 | 144 | no | — |
| 244 | C26 | — | 4 | 24 | no | — |
| 245 | C26 | — | 8 | 36 | no | — |
| 246 | C26 | C24 | 1 | 9 | yes | — |
| 247 | C26 | C24 | 1 | 54 | yes | — |
| 248 | C26 | C24 | 1 | 18 | yes | — |
| 249 | #585 | — | 4 | 256 | no | — |
| 250 | C2×2−1+4 | — | 2 | 144 | no | — |
| 251 | C2×H(5,𝔽2) | — | 2 | 9216 | no | — |
| 252 | C2×H(5,𝔽2) | — | 2 | 13824 | no | — |
| 253 | C2×H(5,𝔽2) | — | 2 | 1536 | no | — |
| 254 | C2×H(5,𝔽2) | — | 2 | 864 | no | — |
| 255 | C2×H(5,𝔽2) | — | 2 | 864 | no | — |
| 256 | C2×H(5,𝔽2) | — | 2 | 288 | no | — |
| 257 | C2×H(5,𝔽2) | — | 2 | 288 | no | — |
| 258 | C2×H(5,𝔽2) | — | 2 | 864 | no | — |
| 259 | C2×H(5,𝔽2) | — | 2 | 432 | no | — |
| 260 | C2×H(5,𝔽2) | — | 2 | 1728 | no | — |
| 261 | C2×H(5,𝔽2) | — | 2 | 432 | no | — |
| 262 | C2×H(5,𝔽2) | — | 2 | 216 | no | — |
| 263 | C2×H(5,𝔽2) | C2×D4 | 1 | 48 | yes | — |
| 264 | C2×H(5,𝔽2) | C2×D4 | 1 | 432 | yes | complemented |
| 265 | C2×H(5,𝔽2) | C2×D4 | 1 | 288 | yes | complemented |
| 266 | C22×#41 | — | 2 | 3072 | no | — |
| 267 | C22×#41 | — | 2 | 864 | no | — |
| 268 | C22×#41 | — | 2 | 864 | no | — |
| 269 | C22×#41 | — | 2 | 288 | no | — |
| 270 | C22×#41 | — | 2 | 288 | no | — |
| 271 | C22×#41 | — | 2 | 144 | no | — |
| 272 | C22×#41 | — | 2 | 144 | no | — |
| 273 | C22×#41 | — | 2 | 432 | no | — |
| 274 | C22×#41 | — | 2 | 216 | no | — |
| 275 | C22×#41 | — | 2 | 432 | no | — |
| 276 | C22×#41 | C2×D4 | 1 | 288 | yes | complemented |
| 277 | C22×#41 | C24 | 1 | 36 | yes | — |
| 278 | C22×#41 | C24 | 1 | 108 | yes | — |
| 279 | C22×#41 | C24 | 1 | 108 | yes | — |
| 280 | C22×#41 | C24 | 1 | 54 | yes | — |
| 281 | C22×#41 | C24 | 1 | 54 | yes | — |
| 282 | C22×#41 | C24 | 1 | 18 | yes | — |
| 283 | C22×#41 | C24 | 1 | 6 | yes | — |
| 284 | C22×#41 | C24 | 1 | 18 | yes | complemented |
| 285 | C22×#41 | C24 | 1 | 2 | yes | complemented |
| 286 | C22×#41 | C24 | 1 | 18 | yes | complemented |
| 287 | C22×#41 | C24 | 1 | 36 | yes | complemented |
| 288 | C23×Q8 | — | 2 | 48 | no | — |
| 289 | C23×Q8 | C24 | 1 | 18 | yes | — |
| 290 | C23×Q8 | C24 | 1 | 6 | yes | — |
| 291 | C23×Q8 | C24 | 1 | 9 | yes | complemented |
| 292 | C23×Q8 | C24 | 1 | 6 | yes | complemented |
| 293 | C23×D4 | — | 2 | 4608 | no | — |
| 294 | C23×D4 | — | 2 | 432 | no | — |
| 295 | C23×D4 | — | 2 | 432 | no | — |
| 296 | C23×D4 | — | 2 | 864 | no | — |
| 297 | C23×D4 | — | 2 | 864 | no | — |
| 298 | C23×D4 | — | 2 | 432 | no | — |
| 299 | C23×D4 | — | 2 | 1728 | no | — |
| 300 | C23×D4 | — | 2 | 432 | no | — |
| 301 | C23×D4 | — | 2 | 216 | no | — |
| 302 | C23×D4 | C2×D4 | 1 | 432 | yes | complemented |
| 303 | C23×D4 | C24 | 1 | 108 | yes | — |
| 304 | C23×D4 | C24 | 1 | 54 | yes | — |
| 305 | C23×D4 | C24 | 1 | 54 | yes | — |
| 306 | C23×D4 | C24 | 1 | 216 | yes | — |
| 307 | C23×D4 | C24 | 1 | 108 | yes | — |
| 308 | C23×D4 | C24 | 1 | 54 | yes | — |
| 309 | C23×D4 | C24 | 1 | 54 | yes | — |
| 310 | C23×D4 | C24 | 1 | 27 | yes | — |
| 311 | C23×D4 | C24 | 1 | 108 | yes | — |
| 312 | C23×D4 | C24 | 1 | 27 | yes | — |
| 313 | C23×D4 | C24 | 1 | 9 | yes | — |
| 314 | C23×D4 | C24 | 1 | 18 | yes | complemented |
| 315 | C23×D4 | C24 | 1 | 18 | yes | complemented |
| 316 | C23×D4 | C24 | 1 | 54 | yes | complemented |
| 317 | C24×C4 | — | 2 | 216 | no | — |
| 318 | C24×C4 | C24 | 1 | 6 | yes | — |
| 319 | C24×C4 | C24 | 1 | 54 | yes | — |
| 320 | C24×C4 | C24 | 1 | 27 | yes | — |
| 321 | C24×C4 | C24 | 1 | 27 | yes | — |
| 322 | C24×C4 | C24 | 1 | 6 | yes | complemented |
| 323 | C24×C4 | C24 | 1 | 9 | yes | complemented |
| 324 | C24×C4 | C24 | 1 | 18 | yes | complemented |
| 325 | #550 | — | 2 | 144 | no | — |
| 326 | D4×Q8 | — | 2 | 144 | no | — |
| 327 | #548 | — | 2 | 144 | no | — |
| 328 | #548 | — | 2 | 288 | no | — |
| 329 | #548 | — | 2 | 48 | no | — |
| 330 | #547 | — | 2 | 432 | no | — |
| 331 | #547 | — | 2 | 864 | no | — |
| 332 | #546 | — | 2 | 432 | no | — |
| 333 | #546 | — | 2 | 432 | no | — |
| 334 | #546 | — | 2 | 864 | no | — |
| 335 | #546 | — | 2 | 864 | no | — |
| 336 | #546 | — | 2 | 864 | no | — |
| 337 | #546 | — | 2 | 864 | no | — |
| 338 | D42 | — | 2 | 432 | no | — |
| 339 | D42 | — | 2 | 864 | no | — |
| 340 | #537 | — | 2 | 432 | no | — |
| 341 | #536 | — | 2 | 432 | no | — |
| 342 | #535 | — | 2 | 432 | no | — |
| 343 | #534 | — | 2 | 864 | no | — |
| 344 | #532 | — | 2 | 432 | no | — |
| 345 | C2×C4⋊Q8 | C24 | 1 | 54 | yes | complemented |
| 346 | C2×#127 | C24 | 1 | 54 | yes | complemented |
| 347 | C2×#124 | — | 2 | 216 | no | — |
| 348 | C2×#124 | C24 | 1 | 54 | yes | complemented |
| 349 | C2×#124 | C24 | 1 | 108 | yes | complemented |
| 350 | C2×#124 | C24 | 1 | 18 | yes | complemented |
| 351 | #525 | — | 2 | 432 | no | — |
| 352 | #525 | — | 2 | 432 | no | — |
| 353 | C2×#123 | — | 2 | 432 | no | — |
| 354 | C2×#123 | C24 | 1 | 108 | yes | complemented |
| 355 | C2×#123 | C24 | 1 | 108 | yes | complemented |
| 356 | C2×#123 | C24 | 1 | 216 | yes | complemented |
| 357 | C2×C22⋊Q8 | — | 2 | 216 | no | — |
| 358 | C2×C22⋊Q8 | C24 | 1 | 54 | yes | — |
| 359 | C2×C22⋊Q8 | C24 | 1 | 108 | yes | complemented |
| 360 | C2×C22⋊Q8 | C24 | 1 | 54 | yes | complemented |
| 361 | C2×C22⋊Q8 | C24 | 1 | 18 | yes | complemented |
| 362 | C2×C22⋊Q8 | C24 | 1 | 54 | yes | complemented |
| 363 | C2×#121 | — | 2 | 216 | no | — |
| 364 | C2×#121 | — | 2 | 432 | no | — |
| 365 | C2×#121 | C24 | 1 | 18 | yes | — |
| 366 | C2×#121 | C24 | 1 | 54 | yes | complemented |
| 367 | C2×#121 | C24 | 1 | 54 | yes | complemented |
| 368 | C2×#121 | C24 | 1 | 108 | yes | complemented |
| 369 | C2×#121 | C24 | 1 | 54 | yes | complemented |
| 370 | C2×#121 | C24 | 1 | 108 | yes | complemented |
| 371 | C2×#121 | C24 | 1 | 216 | yes | complemented |
| 372 | C2×#121 | C24 | 1 | 108 | yes | complemented |
| 373 | C2×#120 | — | 2 | 432 | no | — |
| 374 | C2×#120 | — | 4 | 36 | no | — |
| 375 | C2×#120 | — | 8 | 108 | no | — |
| 376 | C2×#120 | C24 | 1 | 6 | yes | — |
| 377 | C2×#120 | C24 | 1 | 108 | yes | — |
| 378 | C2×#120 | C24 | 1 | 108 | yes | — |
| 379 | C2×#120 | C24 | 1 | 54 | yes | — |
| 380 | C2×#120 | C24 | 1 | 216 | yes | complemented |
| 381 | C2×#120 | C24 | 1 | 108 | yes | complemented |
| 382 | C2×#120 | C24 | 1 | 216 | yes | complemented |
| 383 | #520 | — | 2 | 144 | no | — |
| 384 | #518 | — | 2 | 216 | no | — |
| 385 | C4×#41 | — | 2 | 144 | no | — |
| 386 | C2×C4×Q8 | C24 | 1 | 6 | yes | complemented |
| 387 | C2×C4×Q8 | C24 | 1 | 18 | yes | complemented |
| 388 | C2×C4×D4 | — | 2 | 216 | no | — |
| 389 | C2×C4×D4 | — | 2 | 216 | no | — |
| 390 | C2×C4×D4 | C24 | 1 | 18 | yes | — |
| 391 | C2×C4×D4 | C24 | 1 | 54 | yes | — |
| 392 | C2×C4×D4 | C24 | 1 | 54 | yes | complemented |
| 393 | C2×C4×D4 | C24 | 1 | 108 | yes | complemented |
| 394 | C2×C4×D4 | C24 | 1 | 54 | yes | complemented |
| 395 | C2×C4×D4 | C24 | 1 | 54 | yes | complemented |
| 396 | C2×C4×D4 | C24 | 1 | 54 | yes | complemented |
| 397 | C2×C4×D4 | C24 | 1 | 108 | yes | complemented |
| 398 | C2×#117 | C24 | 1 | 54 | yes | complemented |
| 399 | C22×C4⋊C4 | C24 | 1 | 27 | yes | complemented |
| 400 | C22×C4⋊C4 | C24 | 1 | 27 | yes | complemented |
| 401 | C22×C4⋊C4 | C24 | 1 | 54 | yes | complemented |
| 402 | C22×C22⋊C4 | — | 2 | 144 | no | — |
| 403 | C22×C22⋊C4 | — | 8 | 36 | no | — |
| 404 | C22×C22⋊C4 | C24 | 1 | 27 | yes | — |
| 405 | C22×C22⋊C4 | C24 | 1 | 54 | yes | — |
| 406 | C22×C22⋊C4 | C24 | 1 | 27 | yes | — |
| 407 | C22×C22⋊C4 | C24 | 1 | 54 | yes | — |
| 408 | C22×C22⋊C4 | C24 | 1 | 27 | yes | — |
| 409 | C22×C22⋊C4 | C24 | 1 | 54 | yes | complemented |
| 410 | C22×C22⋊C4 | C24 | 1 | 27 | yes | complemented |
| 411 | C22×C22⋊C4 | C24 | 1 | 54 | yes | complemented |
| 412 | C22×C22⋊C4 | C24 | 1 | 54 | yes | complemented |
| 413 | C22×C22⋊C4 | C24 | 1 | 54 | yes | complemented |
| 414 | C22×C22⋊C4 | C24 | 1 | 108 | yes | complemented |
| 415 | C22×C22⋊C4 | C24 | 1 | 108 | yes | complemented |
| 416 | C22×C42 | C24 | 1 | 27 | yes | complemented |
| 417 | #395 | C24 | 1 | 108 | yes | complemented |
| 418 | #395 | C24 | 1 | 12 | yes | complemented |
| 419 | #394 | C24 | 1 | 108 | yes | complemented |
| 420 | #394 | C24 | 1 | 216 | yes | complemented |
| 421 | #394 | C24 | 1 | 432 | yes | complemented |
| 422 | #394 | C24 | 1 | 108 | yes | complemented |
| 423 | #394 | C24 | 1 | 216 | yes | complemented |
| 424 | #393 | C24 | 1 | 36 | yes | complemented |
| 425 | #393 | C24 | 1 | 36 | yes | complemented |
| 426 | #392 | C24 | 1 | 216 | yes | complemented |
| 427 | #392 | C24 | 1 | 108 | yes | complemented |
| 428 | #392 | C24 | 1 | 216 | yes | complemented |
| 429 | #392 | C24 | 1 | 108 | yes | complemented |
| 430 | #391 | C24 | 1 | 108 | yes | complemented |
| 431 | #391 | C24 | 1 | 36 | yes | complemented |
| 432 | #390 | C24 | 1 | 108 | yes | complemented |
| 433 | #390 | C24 | 1 | 216 | yes | complemented |
| 434 | #390 | C24 | 1 | 108 | yes | complemented |
| 435 | #386 | C24 | 1 | 36 | yes | — |
| 436 | #386 | C24 | 1 | 54 | yes | — |
| 437 | #386 | C24 | 1 | 18 | yes | — |
| 438 | #386 | C24 | 1 | 216 | yes | complemented |
| 439 | #386 | C24 | 1 | 432 | yes | complemented |
| 440 | #386 | C24 | 1 | 216 | yes | complemented |
| 441 | #386 | C24 | 1 | 216 | yes | complemented |
| 442 | #386 | C24 | 1 | 108 | yes | complemented |
| 443 | #385 | C24 | 1 | 108 | yes | — |
| 444 | #385 | C24 | 1 | 54 | yes | — |
| 445 | #385 | C24 | 1 | 18 | yes | — |
| 446 | #385 | C24 | 1 | 216 | yes | complemented |
| 447 | #385 | C24 | 1 | 216 | yes | complemented |
| 448 | #385 | C24 | 1 | 54 | yes | complemented |
| 449 | #385 | C24 | 1 | 54 | yes | complemented |
| 450 | #381 | C24 | 1 | 108 | yes | complemented |
| 451 | #380 | C24 | 1 | 18 | yes | — |
| 452 | #380 | C24 | 1 | 54 | yes | — |
| 453 | #380 | C24 | 1 | 108 | yes | complemented |
| 454 | #380 | C24 | 1 | 108 | yes | complemented |
| 455 | #379 | C24 | 1 | 9 | yes | — |
| 456 | #379 | C24 | 1 | 108 | yes | — |
| 457 | #379 | C24 | 1 | 108 | yes | — |
| 458 | #379 | C24 | 1 | 108 | yes | — |
| 459 | #379 | C24 | 1 | 27 | yes | — |
| 460 | #379 | C24 | 1 | 27 | yes | — |
| 461 | #379 | C24 | 1 | 1 | yes | characteristic |
| 462 | #379 | C24 | 1 | 216 | yes | complemented |
| 463 | #379 | C24 | 1 | 216 | yes | complemented |
| 464 | #379 | C24 | 1 | 36 | yes | complemented |
| 465 | #379 | C24 | 1 | 108 | yes | complemented |
| 466 | C4×C22⋊C4 | C24 | 1 | 54 | yes | — |
| 467 | C4×C22⋊C4 | C24 | 1 | 18 | yes | — |
| 468 | C4×C22⋊C4 | C24 | 1 | 108 | yes | complemented |
| 469 | C4×C22⋊C4 | C24 | 1 | 108 | yes | complemented |
| 470 | C2×#95 | C24 | 1 | 54 | yes | complemented |
| 471 | C2×#95 | C24 | 1 | 54 | yes | complemented |
| 472 | C25 | — | 2 | 768 | no | — |
| 473 | C25 | — | 2 | 108 | no | — |
| 474 | C25 | — | 2 | 432 | no | — |
| 475 | C25 | — | 2 | 216 | no | — |
| 476 | C25 | — | 2 | 144 | no | — |
| 477 | C25 | — | 2 | 36 | no | — |
| 478 | C25 | — | 4 | 54 | no | — |
| 479 | C25 | — | 4 | 36 | no | — |
| 480 | C25 | — | 4 | 36 | no | — |
| 481 | C25 | — | 4 | 108 | no | — |
| 482 | C25 | — | 4 | 108 | no | — |
| 483 | C25 | — | 8 | 36 | no | — |
| 484 | C25 | — | 8 | 108 | no | — |
| 485 | C25 | — | 8 | 576 | no | — |
| 486 | C25 | — | 8 | 576 | no | — |
| 487 | C25 | C22×D4 | 1 | 144 | yes | — |
| 488 | C25 | C25 | 1 | 1 | yes | characteristic |
| 489 | C25 | C25 | 1 | 27 | yes | — |
| 490 | C25 | C25 | 1 | 27 | yes | — |
| 491 | C25 | C25 | 1 | 9 | yes | — |
| 492 | C25 | C25 | 1 | 36 | yes | — |
| 493 | C25 | C25 | 1 | 54 | yes | — |
| 494 | C25 | C25 | 1 | 6 | yes | — |
| 495 | 2−1+4 | — | 4 | 384 | no | — |
| 496 | H(5,𝔽2) | — | 2 | 1536 | no | — |
| 497 | H(5,𝔽2) | — | 2 | 6912 | no | — |
| 498 | H(5,𝔽2) | — | 2 | 13824 | no | — |
| 499 | H(5,𝔽2) | — | 2 | 4608 | no | — |
| 500 | H(5,𝔽2) | — | 2 | 2304 | no | — |
| 501 | H(5,𝔽2) | — | 2 | 3456 | no | — |
| 502 | H(5,𝔽2) | — | 4 | 576 | no | — |
| 503 | H(5,𝔽2) | #120 | 1 | 256 | yes | complemented |
| 504 | C2×#41 | — | 2 | 2304 | no | — |
| 505 | C2×#41 | — | 2 | 6912 | no | — |
| 506 | C2×#41 | — | 2 | 6912 | no | — |
| 507 | C2×#41 | — | 2 | 2304 | no | — |
| 508 | C2×#41 | — | 2 | 432 | no | — |
| 509 | C2×#41 | — | 2 | 144 | no | — |
| 510 | C2×#41 | — | 2 | 24 | no | — |
| 511 | C2×#41 | — | 2 | 864 | no | — |
| 512 | C2×#41 | — | 2 | 432 | no | — |
| 513 | C2×#41 | — | 2 | 432 | no | — |
| 514 | C2×#41 | — | 2 | 216 | no | — |
| 515 | C2×#41 | — | 2 | 432 | no | — |
| 516 | C2×#41 | — | 2 | 432 | no | — |
| 517 | C2×#41 | — | 2 | 432 | no | — |
| 518 | C2×#41 | — | 2 | 432 | no | — |
| 519 | C2×#41 | — | 2 | 432 | no | — |
| 520 | C2×#41 | — | 2 | 216 | no | — |
| 521 | C2×#41 | — | 4 | 384 | no | — |
| 522 | C2×#41 | — | 4 | 576 | no | — |
| 523 | C2×#41 | C22×D4 | 1 | 432 | yes | — |
| 524 | C2×#41 | C22×D4 | 1 | 432 | yes | — |
| 525 | C2×#41 | C22×D4 | 1 | 144 | yes | — |
| 526 | C2×#41 | C22×D4 | 1 | 144 | yes | — |
| 527 | C22×Q8 | — | 2 | 256 | no | — |
| 528 | C22×Q8 | — | 2 | 144 | no | — |
| 529 | C22×Q8 | — | 2 | 48 | no | — |
| 530 | C22×Q8 | — | 2 | 72 | no | — |
| 531 | C22×Q8 | — | 2 | 72 | no | — |
| 532 | C22×Q8 | — | 2 | 108 | no | — |
| 533 | C22×Q8 | C22×D4 | 1 | 48 | yes | — |
| 534 | C22×Q8 | C25 | 1 | 18 | yes | — |
| 535 | C22×Q8 | C25 | 1 | 12 | yes | — |
| 536 | C22×Q8 | C25 | 1 | 18 | yes | — |
| 537 | C22×Q8 | C25 | 1 | 2 | yes | — |
| 538 | C22×D4 | — | 2 | 2304 | no | — |
| 539 | C22×D4 | — | 2 | 6912 | no | — |
| 540 | C22×D4 | — | 2 | 13824 | no | — |
| 541 | C22×D4 | — | 2 | 3456 | no | — |
| 542 | C22×D4 | — | 2 | 432 | no | — |
| 543 | C22×D4 | — | 2 | 432 | no | — |
| 544 | C22×D4 | — | 2 | 864 | no | — |
| 545 | C22×D4 | — | 2 | 432 | no | — |
| 546 | C22×D4 | — | 2 | 3456 | no | — |
| 547 | C22×D4 | — | 2 | 864 | no | — |
| 548 | C22×D4 | — | 2 | 432 | no | — |
| 549 | C22×D4 | — | 2 | 432 | no | — |
| 550 | C22×D4 | — | 2 | 1728 | no | — |
| 551 | C22×D4 | — | 2 | 864 | no | — |
| 552 | C22×D4 | — | 2 | 864 | no | — |
| 553 | C22×D4 | — | 2 | 216 | no | — |
| 554 | C22×D4 | — | 2 | 108 | no | — |
| 555 | C22×D4 | — | 2 | 216 | no | — |
| 556 | C22×D4 | — | 2 | 216 | no | — |
| 557 | C22×D4 | — | 2 | 216 | no | — |
| 558 | C22×D4 | — | 2 | 216 | no | — |
| 559 | C22×D4 | — | 2 | 432 | no | — |
| 560 | C22×D4 | — | 2 | 216 | no | — |
| 561 | C22×D4 | — | 4 | 54 | no | — |
| 562 | C22×D4 | — | 4 | 54 | no | — |
| 563 | C22×D4 | — | 8 | 108 | no | — |
| 564 | C22×D4 | C22×D4 | 1 | 432 | yes | — |
| 565 | C22×D4 | C22×D4 | 1 | 216 | yes | — |
| 566 | C22×D4 | C22×D4 | 1 | 432 | yes | — |
| 567 | C22×D4 | C22×D4 | 1 | 864 | yes | — |
| 568 | C22×D4 | C22×D4 | 1 | 216 | yes | — |
| 569 | C22×D4 | C25 | 1 | 18 | yes | — |
| 570 | C22×D4 | C25 | 1 | 36 | yes | — |
| 571 | C22×D4 | C25 | 1 | 6 | yes | — |
| 572 | C22×D4 | C25 | 1 | 108 | yes | — |
| 573 | C22×D4 | C25 | 1 | 108 | yes | — |
| 574 | C22×D4 | C25 | 1 | 54 | yes | — |
| 575 | C22×D4 | C25 | 1 | 54 | yes | — |
| 576 | C22×D4 | C25 | 1 | 108 | yes | — |
| 577 | C22×D4 | C25 | 1 | 18 | yes | — |
| 578 | C23×C4 | — | 2 | 1152 | no | — |
| 579 | C23×C4 | — | 2 | 108 | no | — |
| 580 | C23×C4 | — | 2 | 72 | no | — |
| 581 | C23×C4 | — | 2 | 216 | no | — |
| 582 | C23×C4 | — | 2 | 216 | no | — |
| 583 | C23×C4 | — | 2 | 432 | no | — |
| 584 | C23×C4 | — | 2 | 216 | no | — |
| 585 | C23×C4 | — | 2 | 72 | no | — |
| 586 | C23×C4 | — | 2 | 72 | no | — |
| 587 | C23×C4 | — | 2 | 108 | no | — |
| 588 | C23×C4 | — | 8 | 36 | no | — |
| 589 | C23×C4 | C22×D4 | 1 | 216 | yes | — |
| 590 | C23×C4 | C25 | 1 | 9 | yes | — |
| 591 | C23×C4 | C25 | 1 | 18 | yes | — |
| 592 | C23×C4 | C25 | 1 | 6 | yes | — |
| 593 | C23×C4 | C25 | 1 | 18 | yes | — |
| 594 | C23×C4 | C25 | 1 | 18 | yes | — |
| 595 | C23×C4 | C25 | 1 | 54 | yes | — |
| 596 | C23×C4 | C25 | 1 | 27 | yes | — |
| 597 | C23×C4 | C25 | 1 | 18 | yes | — |
| 598 | C23×C4 | C25 | 1 | 54 | yes | — |
| 599 | C23×C4 | C25 | 1 | 27 | yes | — |
| 600 | C23×C4 | C25 | 1 | 54 | yes | — |
| 601 | C23×C4 | C25 | 1 | 27 | yes | — |
| 602 | C23×C4 | C25 | 1 | 9 | yes | — |
| 603 | C4⋊Q8 | — | 2 | 216 | no | — |
| 604 | #127 | — | 2 | 216 | no | — |
| 605 | #124 | — | 2 | 72 | no | — |
| 606 | #124 | — | 2 | 216 | no | — |
| 607 | #124 | — | 2 | 432 | no | — |
| 608 | #123 | — | 2 | 432 | no | — |
| 609 | #123 | — | 2 | 864 | no | — |
| 610 | #123 | — | 2 | 432 | no | — |
| 611 | C22⋊Q8 | — | 2 | 72 | no | — |
| 612 | C22⋊Q8 | — | 2 | 216 | no | — |
| 613 | C22⋊Q8 | — | 2 | 216 | no | — |
| 614 | C22⋊Q8 | — | 2 | 432 | no | — |
| 615 | C22⋊Q8 | — | 2 | 216 | no | — |
| 616 | #121 | — | 2 | 216 | no | — |
| 617 | #121 | — | 2 | 432 | no | — |
| 618 | #121 | — | 2 | 864 | no | — |
| 619 | #121 | — | 2 | 432 | no | — |
| 620 | #121 | — | 2 | 216 | no | — |
| 621 | #121 | — | 2 | 432 | no | — |
| 622 | #121 | — | 2 | 72 | no | — |
| 623 | #121 | — | 2 | 216 | no | — |
| 624 | #120 | — | 2 | 432 | no | — |
| 625 | #120 | — | 2 | 864 | no | — |
| 626 | #120 | — | 2 | 24 | no | — |
| 627 | #120 | — | 2 | 432 | no | — |
| 628 | #120 | — | 4 | 108 | no | — |
| 629 | #120 | — | 4 | 216 | no | — |
| 630 | #120 | — | 8 | 216 | no | — |
| 631 | C4×Q8 | — | 2 | 24 | no | — |
| 632 | C4×Q8 | — | 2 | 72 | no | — |
| 633 | C4×D4 | — | 2 | 216 | no | — |
| 634 | C4×D4 | — | 2 | 432 | no | — |
| 635 | C4×D4 | — | 2 | 216 | no | — |
| 636 | C4×D4 | — | 2 | 72 | no | — |
| 637 | C4×D4 | — | 2 | 216 | no | — |
| 638 | C4×D4 | — | 2 | 216 | no | — |
| 639 | C4×D4 | — | 2 | 216 | no | — |
| 640 | C4×D4 | — | 2 | 432 | no | — |
| 641 | #117 | — | 2 | 216 | no | — |
| 642 | C2×C4⋊C4 | — | 2 | 108 | no | — |
| 643 | C2×C4⋊C4 | — | 2 | 108 | no | — |
| 644 | C2×C4⋊C4 | — | 2 | 216 | no | — |
| 645 | C2×C4⋊C4 | C25 | 1 | 18 | yes | — |
| 646 | C2×C4⋊C4 | C25 | 1 | 54 | yes | — |
| 647 | C2×C4⋊C4 | C25 | 1 | 108 | yes | — |
| 648 | C2×C4⋊C4 | C25 | 1 | 54 | yes | — |
| 649 | C2×C4⋊C4 | C25 | 1 | 18 | yes | — |
| 650 | C2×C22⋊C4 | — | 2 | 108 | no | — |
| 651 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 652 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 653 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 654 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 655 | C2×C22⋊C4 | — | 2 | 216 | no | — |
| 656 | C2×C22⋊C4 | — | 2 | 108 | no | — |
| 657 | C2×C22⋊C4 | — | 4 | 54 | no | — |
| 658 | C2×C22⋊C4 | — | 4 | 108 | no | — |
| 659 | C2×C22⋊C4 | — | 4 | 54 | no | — |
| 660 | C2×C22⋊C4 | — | 8 | 108 | no | — |
| 661 | C2×C22⋊C4 | — | 8 | 108 | no | — |
| 662 | C2×C22⋊C4 | C25 | 1 | 3 | yes | — |
| 663 | C2×C22⋊C4 | C25 | 1 | 3 | yes | — |
| 664 | C2×C22⋊C4 | C25 | 1 | 27 | yes | — |
| 665 | C2×C22⋊C4 | C25 | 1 | 27 | yes | — |
| 666 | C2×C22⋊C4 | C25 | 1 | 18 | yes | — |
| 667 | C2×C22⋊C4 | C25 | 1 | 27 | yes | — |
| 668 | C2×C22⋊C4 | C25 | 1 | 27 | yes | — |
| 669 | C2×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 670 | C2×C22⋊C4 | C25 | 1 | 18 | yes | — |
| 671 | C2×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 672 | C2×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 673 | C2×C22⋊C4 | C25 | 1 | 54 | yes | — |
| 674 | C2×C22⋊C4 | C25 | 1 | 36 | yes | — |
| 675 | C2×C22⋊C4 | C25 | 1 | 54 | yes | — |
| 676 | C2×C22⋊C4 | C25 | 1 | 108 | yes | — |
| 677 | C2×C22⋊C4 | C25 | 1 | 54 | yes | — |
| 678 | C2×C22⋊C4 | C25 | 1 | 216 | yes | — |
| 679 | C2×C42 | — | 2 | 108 | no | — |
| 680 | C2×C42 | C25 | 1 | 54 | yes | — |
| 681 | C2×C42 | C25 | 1 | 18 | yes | — |
| 682 | #95 | C25 | 1 | 36 | yes | — |
| 683 | #95 | C25 | 1 | 108 | yes | — |
| 684 | #95 | C25 | 1 | 108 | yes | — |
| 685 | #95 | C25 | 1 | 36 | yes | — |
| 686 | C24 | — | 2 | 6 | no | — |
| 687 | C24 | — | 2 | 6 | no | — |
| 688 | C24 | — | 2 | 288 | no | — |
| 689 | C24 | — | 2 | 1728 | no | — |
| 690 | C24 | — | 2 | 108 | no | — |
| 691 | C24 | — | 2 | 108 | no | — |
| 692 | C24 | — | 2 | 54 | no | — |
| 693 | C24 | — | 2 | 54 | no | — |
| 694 | C24 | — | 2 | 54 | no | — |
| 695 | C24 | — | 2 | 216 | no | — |
| 696 | C24 | — | 2 | 216 | no | — |
| 697 | C24 | — | 2 | 576 | no | — |
| 698 | C24 | — | 2 | 54 | no | — |
| 699 | C24 | — | 2 | 54 | no | — |
| 700 | C24 | — | 2 | 54 | no | — |
| 701 | C24 | — | 4 | 18 | no | — |
| 702 | C24 | — | 4 | 6 | no | — |
| 703 | C24 | — | 4 | 54 | no | — |
| 704 | C24 | — | 4 | 54 | no | — |
| 705 | C24 | — | 4 | 54 | no | — |
| 706 | C24 | — | 4 | 108 | no | — |
| 707 | C24 | — | 4 | 54 | no | — |
| 708 | C24 | — | 4 | 288 | no | — |
| 709 | C24 | — | 4 | 108 | no | — |
| 710 | C24 | — | 4 | 9 | no | — |
| 711 | C24 | — | 4 | 27 | no | — |
| 712 | C24 | — | 4 | 36 | no | — |
| 713 | C24 | — | 4 | 432 | no | — |
| 714 | C24 | — | 4 | 432 | no | — |
| 715 | C24 | — | 8 | 432 | no | — |
| 716 | C24 | — | 8 | 144 | no | — |
| 717 | C24 | — | 8 | 288 | no | — |
| 718 | C24 | — | 8 | 288 | no | — |
| 719 | C24 | — | 8 | 864 | no | — |
| 720 | C24 | — | 8 | 864 | no | — |
| 721 | C24 | — | 8 | 432 | no | — |
| 722 | C24 | — | 8 | 3072 | no | — |
| 723 | C24 | C23×D4 | 1 | 108 | yes | — |
| 724 | C24 | C23×D4 | 1 | 216 | yes | — |
| 725 | C24 | C23×D4 | 1 | 72 | yes | — |
| 726 | C24 | #585 | 1 | 4 | yes | complemented |
| 727 | C24 | C26 | 1 | 6 | yes | — |
| 728 | C24 | C26 | 1 | 27 | yes | — |
| 729 | C24 | C26 | 1 | 9 | yes | — |
| 730 | C24 | C26 | 1 | 3 | yes | — |
| 731 | #41 | — | 2 | 3456 | no | — |
| 732 | #41 | — | 2 | 3456 | no | — |
| 733 | #41 | — | 2 | 1152 | no | — |
| 734 | #41 | — | 2 | 576 | no | — |
| 735 | #41 | — | 2 | 1728 | no | — |
| 736 | #41 | — | 2 | 1728 | no | — |
| 737 | #41 | — | 4 | 32 | no | — |
| 738 | #41 | — | 4 | 288 | no | — |
| 739 | #41 | — | 4 | 576 | no | — |
| 740 | #41 | — | 4 | 288 | no | — |
| 741 | #41 | C2×#120 | 1 | 384 | yes | complemented |
| 742 | C2×Q8 | — | 2 | 576 | no | — |
| 743 | C2×Q8 | — | 2 | 192 | no | — |
| 744 | C2×Q8 | — | 2 | 72 | no | — |
| 745 | C2×Q8 | — | 2 | 72 | no | — |
| 746 | C2×Q8 | — | 2 | 108 | no | — |
| 747 | C2×Q8 | — | 4 | 96 | no | — |
| 748 | C2×Q8 | — | 4 | 144 | no | — |
| 749 | C2×Q8 | C23×D4 | 1 | 72 | yes | — |
| 750 | C2×Q8 | C23×D4 | 1 | 24 | yes | — |
| 751 | C2×D4 | — | 2 | 3456 | no | — |
| 752 | C2×D4 | — | 2 | 1728 | no | — |
| 753 | C2×D4 | — | 2 | 6912 | no | — |
| 754 | C2×D4 | — | 2 | 1728 | no | — |
| 755 | C2×D4 | — | 2 | 3456 | no | — |
| 756 | C2×D4 | — | 2 | 432 | no | — |
| 757 | C2×D4 | — | 2 | 432 | no | — |
| 758 | C2×D4 | — | 2 | 1728 | no | — |
| 759 | C2×D4 | — | 2 | 1728 | no | — |
| 760 | C2×D4 | — | 2 | 3456 | no | — |
| 761 | C2×D4 | — | 2 | 36 | no | — |
| 762 | C2×D4 | — | 2 | 216 | no | — |
| 763 | C2×D4 | — | 2 | 36 | no | — |
| 764 | C2×D4 | — | 2 | 36 | no | — |
| 765 | C2×D4 | — | 2 | 108 | no | — |
| 766 | C2×D4 | — | 2 | 216 | no | — |
| 767 | C2×D4 | — | 2 | 216 | no | — |
| 768 | C2×D4 | — | 2 | 216 | no | — |
| 769 | C2×D4 | — | 2 | 36 | no | — |
| 770 | C2×D4 | — | 2 | 864 | no | — |
| 771 | C2×D4 | — | 4 | 54 | no | — |
| 772 | C2×D4 | — | 4 | 216 | no | — |
| 773 | C2×D4 | — | 4 | 54 | no | — |
| 774 | C2×D4 | — | 4 | 288 | no | — |
| 775 | C2×D4 | — | 4 | 288 | no | — |
| 776 | C2×D4 | — | 8 | 216 | no | — |
| 777 | C2×D4 | — | 16 | 216 | no | — |
| 778 | C2×D4 | C2×#120 | 1 | 576 | yes | complemented |
| 779 | C2×D4 | C23×D4 | 1 | 432 | yes | — |
| 780 | C2×D4 | C23×D4 | 1 | 216 | yes | — |
| 781 | C2×D4 | C23×D4 | 1 | 216 | yes | — |
| 782 | C22×C4 | — | 2 | 192 | no | — |
| 783 | C22×C4 | — | 2 | 864 | no | — |
| 784 | C22×C4 | — | 2 | 1728 | no | — |
| 785 | C22×C4 | — | 2 | 36 | no | — |
| 786 | C22×C4 | — | 2 | 108 | no | — |
| 787 | C22×C4 | — | 2 | 108 | no | — |
| 788 | C22×C4 | — | 2 | 72 | no | — |
| 789 | C22×C4 | — | 2 | 72 | no | — |
| 790 | C22×C4 | — | 2 | 216 | no | — |
| 791 | C22×C4 | — | 2 | 216 | no | — |
| 792 | C22×C4 | — | 2 | 864 | no | — |
| 793 | C22×C4 | — | 2 | 54 | no | — |
| 794 | C22×C4 | — | 2 | 108 | no | — |
| 795 | C22×C4 | — | 2 | 54 | no | — |
| 796 | C22×C4 | — | 2 | 54 | no | — |
| 797 | C22×C4 | — | 2 | 108 | no | — |
| 798 | C22×C4 | — | 2 | 36 | no | — |
| 799 | C22×C4 | — | 2 | 108 | no | — |
| 800 | C22×C4 | — | 4 | 27 | no | — |
| 801 | C22×C4 | — | 4 | 54 | no | — |
| 802 | C22×C4 | — | 4 | 108 | no | — |
| 803 | C22×C4 | — | 4 | 27 | no | — |
| 804 | C22×C4 | — | 4 | 96 | no | — |
| 805 | C22×C4 | — | 4 | 144 | no | — |
| 806 | C22×C4 | — | 16 | 72 | no | — |
| 807 | C22×C4 | C23×D4 | 1 | 108 | yes | — |
| 808 | C22×C4 | C23×D4 | 1 | 72 | yes | — |
| 809 | C22×C4 | C23×D4 | 1 | 216 | yes | — |
| 810 | C22×C4 | C23×D4 | 1 | 108 | yes | — |
| 811 | C22×C4 | C26 | 1 | 3 | yes | — |
| 812 | C22×C4 | C26 | 1 | 18 | yes | — |
| 813 | C22×C4 | C26 | 1 | 27 | yes | — |
| 814 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 815 | C22×C4 | C26 | 1 | 9 | yes | — |
| 816 | C22×C4 | C26 | 1 | 18 | yes | — |
| 817 | C22×C4 | C26 | 1 | 6 | yes | — |
| 818 | C4⋊C4 | — | 2 | 36 | no | — |
| 819 | C4⋊C4 | — | 2 | 108 | no | — |
| 820 | C4⋊C4 | — | 2 | 216 | no | — |
| 821 | C4⋊C4 | — | 2 | 108 | no | — |
| 822 | C4⋊C4 | — | 2 | 36 | no | — |
| 823 | C22⋊C4 | — | 2 | 6 | no | — |
| 824 | C22⋊C4 | — | 2 | 54 | no | — |
| 825 | C22⋊C4 | — | 2 | 54 | no | — |
| 826 | C22⋊C4 | — | 2 | 54 | no | — |
| 827 | C22⋊C4 | — | 2 | 216 | no | — |
| 828 | C22⋊C4 | — | 2 | 216 | no | — |
| 829 | C22⋊C4 | — | 2 | 216 | no | — |
| 830 | C22⋊C4 | — | 2 | 36 | no | — |
| 831 | C22⋊C4 | — | 2 | 6 | no | — |
| 832 | C22⋊C4 | — | 2 | 54 | no | — |
| 833 | C22⋊C4 | — | 2 | 36 | no | — |
| 834 | C22⋊C4 | — | 2 | 108 | no | — |
| 835 | C22⋊C4 | — | 2 | 72 | no | — |
| 836 | C22⋊C4 | — | 4 | 54 | no | — |
| 837 | C22⋊C4 | — | 4 | 108 | no | — |
| 838 | C22⋊C4 | — | 4 | 54 | no | — |
| 839 | C22⋊C4 | — | 4 | 216 | no | — |
| 840 | C42 | — | 2 | 36 | no | — |
| 841 | C42 | — | 2 | 108 | no | — |
| 842 | C23 | — | 2 | 8 | no | — |
| 843 | C23 | — | 2 | 24 | no | — |
| 844 | C23 | — | 2 | 24 | no | — |
| 845 | C23 | — | 2 | 6 | no | — |
| 846 | C23 | — | 2 | 9 | no | — |
| 847 | C23 | — | 2 | 27 | no | — |
| 848 | C23 | — | 2 | 6 | no | — |
| 849 | C23 | — | 2 | 216 | no | — |
| 850 | C23 | — | 2 | 288 | no | — |
| 851 | C23 | — | 2 | 216 | no | — |
| 852 | C23 | — | 2 | 54 | no | — |
| 853 | C23 | — | 2 | 27 | no | — |
| 854 | C23 | — | 2 | 27 | no | — |
| 855 | C23 | — | 2 | 54 | no | — |
| 856 | C23 | — | 2 | 216 | no | — |
| 857 | C23 | — | 2 | 432 | no | — |
| 858 | C23 | — | 2 | 18 | no | — |
| 859 | C23 | — | 2 | 6 | no | — |
| 860 | C23 | — | 2 | 18 | no | — |
| 861 | C23 | — | 4 | 72 | no | — |
| 862 | C23 | — | 4 | 108 | no | — |
| 863 | C23 | — | 4 | 72 | no | — |
| 864 | C23 | — | 4 | 216 | no | — |
| 865 | C23 | — | 4 | 216 | no | — |
| 866 | C23 | — | 4 | 216 | no | — |
| 867 | C23 | — | 4 | 216 | no | — |
| 868 | C23 | — | 4 | 216 | no | — |
| 869 | C23 | — | 4 | 216 | no | — |
| 870 | C23 | — | 4 | 1152 | no | — |
| 871 | C23 | — | 4 | 108 | no | — |
| 872 | C23 | — | 4 | 108 | no | — |
| 873 | C23 | — | 4 | 36 | no | — |
| 874 | C23 | — | 8 | 216 | no | — |
| 875 | C23 | — | 8 | 216 | no | — |
| 876 | C23 | — | 8 | 216 | no | — |
| 877 | C23 | — | 8 | 216 | no | — |
| 878 | C23 | — | 8 | 54 | no | — |
| 879 | C23 | — | 8 | 54 | no | — |
| 880 | C23 | — | 8 | 1152 | no | — |
| 881 | C23 | — | 8 | 3456 | no | — |
| 882 | C23 | C22×#120 | 1 | 96 | yes | — |
| 883 | C23 | C24×D4 | 1 | 54 | yes | — |
| 884 | C23 | C24×D4 | 1 | 6 | yes | — |
| 885 | C23 | C24×D4 | 1 | 54 | yes | — |
| 886 | C23 | C2×#585 | 1 | 6 | yes | — |
| 887 | C23 | H(7,𝔽2) | 1 | 6 | yes | — |
| 888 | C23 | C27 | 1 | 1 | yes | characteristic |
| 889 | Q8 | — | 2 | 96 | no | — |
| 890 | Q8 | — | 2 | 144 | no | — |
| 891 | Q8 | — | 4 | 72 | no | — |
| 892 | Q8 | C22×#120 | 1 | 32 | yes | — |
| 893 | D4 | — | 2 | 864 | no | — |
| 894 | D4 | — | 2 | 864 | no | — |
| 895 | D4 | — | 2 | 432 | no | — |
| 896 | D4 | — | 4 | 72 | no | — |
| 897 | D4 | — | 4 | 144 | no | — |
| 898 | D4 | — | 4 | 24 | no | — |
| 899 | D4 | — | 8 | 108 | no | — |
| 900 | D4 | — | 8 | 216 | no | — |
| 901 | D4 | C22×#120 | 1 | 288 | yes | — |
| 902 | C2×C4 | — | 2 | 144 | no | — |
| 903 | C2×C4 | — | 2 | 432 | no | — |
| 904 | C2×C4 | — | 2 | 36 | no | — |
| 905 | C2×C4 | — | 2 | 216 | no | — |
| 906 | C2×C4 | — | 2 | 144 | no | — |
| 907 | C2×C4 | — | 2 | 432 | no | — |
| 908 | C2×C4 | — | 2 | 3 | no | — |
| 909 | C2×C4 | — | 2 | 18 | no | — |
| 910 | C2×C4 | — | 2 | 27 | no | — |
| 911 | C2×C4 | — | 2 | 3 | no | — |
| 912 | C2×C4 | — | 2 | 27 | no | — |
| 913 | C2×C4 | — | 2 | 18 | no | — |
| 914 | C2×C4 | — | 2 | 6 | no | — |
| 915 | C2×C4 | — | 2 | 54 | no | — |
| 916 | C2×C4 | — | 2 | 18 | no | — |
| 917 | C2×C4 | — | 4 | 36 | no | — |
| 918 | C2×C4 | — | 4 | 72 | no | — |
| 919 | C2×C4 | — | 4 | 24 | no | — |
| 920 | C2×C4 | — | 4 | 72 | no | — |
| 921 | C2×C4 | — | 8 | 54 | no | — |
| 922 | C2×C4 | — | 8 | 108 | no | — |
| 923 | C2×C4 | — | 8 | 54 | no | — |
| 924 | C2×C4 | C22×#120 | 1 | 144 | yes | — |
| 925 | C2×C4 | C24×D4 | 1 | 36 | yes | — |
| 926 | C2×C4 | C24×D4 | 1 | 36 | yes | — |
| 927 | C22 | — | 2 | 32 | no | — |
| 928 | C22 | — | 2 | 6 | no | — |
| 929 | C22 | — | 2 | 54 | no | — |
| 930 | C22 | — | 2 | 12 | no | — |
| 931 | C22 | — | 2 | 54 | no | — |
| 932 | C22 | — | 2 | 6 | no | — |
| 933 | C22 | — | 2 | 12 | no | — |
| 934 | C22 | — | 2 | 54 | no | — |
| 935 | C22 | — | 2 | 54 | no | — |
| 936 | C22 | — | 2 | 54 | no | — |
| 937 | C22 | — | 4 | 96 | no | — |
| 938 | C22 | — | 4 | 432 | no | — |
| 939 | C22 | — | 4 | 432 | no | — |
| 940 | C22 | — | 4 | 54 | no | — |
| 941 | C22 | — | 4 | 54 | no | — |
| 942 | C22 | — | 4 | 6 | no | — |
| 943 | C22 | — | 4 | 18 | no | — |
| 944 | C22 | — | 4 | 18 | no | — |
| 945 | C22 | — | 8 | 432 | no | — |
| 946 | C22 | — | 8 | 288 | no | — |
| 947 | C22 | — | 16 | 36 | no | — |
| 948 | C22 | C23×#120 | 1 | 36 | yes | — |
| 949 | C22 | #62987 | 1 | 12 | yes | complemented |
| 950 | C22 | C25×D4 | 1 | 3 | yes | — |
| 951 | C22 | C22×#585 | 1 | 1 | yes | characteristic |
| 952 | C22 | C2×H(7,𝔽2) | 1 | 3 | yes | — |
| 953 | C4 | — | 2 | 36 | no | — |
| 954 | C4 | — | 4 | 1 | no | — |
| 955 | C4 | — | 4 | 9 | no | — |
| 956 | C4 | — | 4 | 18 | no | — |
| 957 | C4 | — | 4 | 3 | no | — |
| 958 | C4 | — | 4 | 27 | no | — |
| 959 | C4 | C23×#120 | 1 | 24 | yes | — |
| 960 | C2 | — | 2 | 12 | no | — |
| 961 | C2 | — | 2 | 36 | no | — |
| 962 | C2 | — | 4 | 54 | no | — |
| 963 | C2 | — | 8 | 6 | no | — |
| 964 | C2 | C24×#120 | 1 | 1 | yes | characteristic |
| 965 | C2 | C2×#62987 | 1 | 3 | yes | — |
| 966 | C2 | #10586066 | 1 | 3 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 1. C24×H(5,𝔽2) | C2 | semidirect |
| 2. C2×#62987 | C2 | semidirect |
| 3. #7633151 | C2 | semidirect |
| 4. #7633038 | C2 | semidirect |
| 5. #7631581 | C2 | semidirect |
| 6. #7631287 | C2 | semidirect |
| 7. #7631237 | C2 | semidirect |
| 8. #7630939 | C2 | semidirect |
| 9. #41×#120 | C2 | semidirect |
| 10. C2×#36152 | C2 | semidirect |
| 11. C22⋊C4×H(5,𝔽2) | C2 | semidirect |
| 12. C22×#585 | C22 | semidirect |
| 15. C23×H(5,𝔽2) | C22 | semidirect |
| 16. C23×H(5,𝔽2) | C22 | semidirect |
| 17. C24×#41 | C22 | semidirect |
| 18. C25×D4 | C22 | semidirect |
| 20. C2×#3500 | C22 | semidirect |
| 21. C2×#3489 | C22 | semidirect |
| 22. C2×#3488 | C22 | semidirect |
| 23. C2×#3485 | C22 | semidirect |
| 24. C2×#3496 | C22 | semidirect |
| 25. C2×#3484 | C22 | semidirect |
| 26. C2×D4×#41 | C22 | semidirect |
| 27. C22×#546 | C22 | semidirect |
| 28. C2×C4×H(5,𝔽2) | C22 | semidirect |
| 29. #36614 | C22 | semidirect |
| 30. C2×#2848 | C22 | semidirect |
| 31. C2×#2846 | C22 | semidirect |
| 32. #36575 | C22 | semidirect |
| 33. Q8×#120 | C22 | semidirect |
| 34. #36429 | C22 | semidirect |
| 35. #36428 | C22 | semidirect |
| 36. #36428 | C22 | semidirect |
| 37. #36213 | C22 | semidirect |
| 38. #36213 | C22 | semidirect |
| 39. #36212 | C22 | semidirect |
| 40. #36152 | C22 | semidirect |
| 41. #36152 | C22 | semidirect |
| 42. #36152 | C22 | semidirect |
| 43. #36152 | C22 | semidirect |
| 44. #36152 | C22 | semidirect |
| 45. D4×#120 | C22 | semidirect |
| 46. D4×#120 | C22 | semidirect |
| 47. #36091 | C22 | semidirect |
| 48. #36082 | C22 | semidirect |
| 49. #35750 | C22 | semidirect |
| 50. #35750 | C22 | semidirect |
| 51. #35680 | C22 | semidirect |
| 52. #35616 | C22 | semidirect |
| 53. #35513 | C22 | semidirect |
| 54. #35512 | C22 | semidirect |
| 55. #35446 | C22 | semidirect |
| 56. #35347 | C22 | semidirect |
| 57. #35305 | C22 | semidirect |
| 58. #35251 | C22 | semidirect |
| 59. #35222 | C22 | semidirect |
| 60. #34980 | C22 | semidirect |
| 61. #34738 | C22 | semidirect |
| 62. #34736 | C22 | semidirect |
| 63. C2×#2435 | C22 | semidirect |
| 64. C2×#2408 | C22 | semidirect |
| 65. C2×#2405 | C22 | semidirect |
| 66. C2×#2410 | C22 | semidirect |
| 67. #34258 | C22 | semidirect |
| 68. #34256 | C22 | semidirect |
| 69. #34175 | C22 | semidirect |
| 70. #34171 | C22 | semidirect |
| 71. C22⋊C4×#41 | C22 | semidirect |
| 72. C2×D4×C22⋊C4 | C22 | semidirect |
| 73. C2×C4×#120 | C22 | semidirect |
| 74. C22×#379 | C22 | semidirect |
| 77. C22×2−1+4 | C23 | semidirect |
| 84. C22×H(5,𝔽2) | D4 | semidirect |
| 92. C22×H(5,𝔽2) | C23 | semidirect |
| 98. C23×#41 | C23 | semidirect |
| 99. C23×#41 | C23 | semidirect |
| 115. C2×#550 | C23 | semidirect |
| 116. C2×D4×Q8 | C23 | semidirect |
| 117. C2×#548 | C23 | semidirect |
| 118. C2×#548 | C23 | semidirect |
| 119. C2×#548 | C23 | semidirect |
| 120. C2×#547 | C23 | semidirect |
| 121. C2×#547 | C23 | semidirect |
| 123. C2×#546 | C23 | semidirect |
| 124. C2×#546 | C23 | semidirect |
| 125. C2×#546 | C23 | semidirect |
| 126. C2×#546 | C23 | semidirect |
| 127. C2×#546 | C23 | semidirect |
| 128. C2×#546 | C23 | semidirect |
| 129. C2×D42 | C23 | semidirect |
| 130. C2×D42 | C23 | semidirect |
| 131. C2×#537 | C23 | semidirect |
| 132. C2×#536 | C23 | semidirect |
| 133. C2×#535 | C23 | semidirect |
| 134. C2×#534 | C23 | semidirect |
| 135. C2×#532 | C23 | semidirect |
| 136. C22×#124 | C23 | semidirect |
| 137. C2×#525 | C23 | semidirect |
| 138. C2×#525 | C23 | semidirect |
| 139. C22×#123 | C23 | semidirect |
| 140. C22×C22⋊Q8 | C23 | semidirect |
| 141. C22×#121 | C23 | semidirect |
| 142. C22×#121 | C23 | semidirect |
| 144. C22×#120 | C23 | semidirect |
| 145. C22×#120 | C23 | semidirect |
| 147. C2×#520 | C23 | semidirect |
| 148. C2×#518 | C23 | semidirect |
| 149. C2×C4×#41 | C23 | semidirect |
| 150. C22×C4×D4 | C23 | semidirect |
| 151. C22×C4×D4 | C23 | semidirect |
| 152. C23×C22⋊C4 | C23 | semidirect |
| 153. C23×C22⋊C4 | C23 | semidirect |
| 154. #2849 | C23 | semidirect |
| 156. #2848 | C23 | semidirect |
| 157. #2848 | C23 | semidirect |
| 159. #2847 | C23 | semidirect |
| 161. #2846 | C23 | semidirect |
| 162. #2616 | C23 | semidirect |
| 163. #2615 | C23 | semidirect |
| 164. #2613 | C23 | semidirect |
| 165. #2436 | C23 | semidirect |
| 166. #2435 | C23 | semidirect |
| 167. #2435 | C23 | semidirect |
| 168. #2435 | C23 | semidirect |
| 169. #2435 | C23 | semidirect |
| 170. #2434 | C23 | semidirect |
| 171. #2433 | C23 | semidirect |
| 172. #2433 | C23 | semidirect |
| 173. #2432 | C23 | semidirect |
| 174. #2432 | C23 | semidirect |
| 175. #2431 | C23 | semidirect |
| 176. #2430 | C23 | semidirect |
| 177. #2430 | C23 | semidirect |
| 178. #2410 | C23 | semidirect |
| 179. #2410 | C23 | semidirect |
| 180. #2410 | C23 | semidirect |
| 181. #2410 | C23 | semidirect |
| 182. #2410 | C23 | semidirect |
| 183. #2409 | C23 | semidirect |
| 184. #2409 | C23 | semidirect |
| 185. #2408 | C23 | semidirect |
| 186. #2408 | C23 | semidirect |
| 187. #2408 | C23 | semidirect |
| 188. #2408 | C23 | semidirect |
| 189. #2408 | C23 | semidirect |
| 190. #2408 | C23 | semidirect |
| 191. #2407 | C23 | semidirect |
| 192. #2407 | C23 | semidirect |
| 193. #2407 | C23 | semidirect |
| 194. #2406 | C23 | semidirect |
| 195. #2406 | C23 | semidirect |
| 196. #2405 | C23 | semidirect |
| 197. #2405 | C23 | semidirect |
| 198. #2405 | C23 | semidirect |
| 199. #2405 | C23 | semidirect |
| 200. #2405 | C23 | semidirect |
| 201. #2404 | C23 | semidirect |
| 202. #2403 | C23 | semidirect |
| 203. #2403 | C23 | semidirect |
| 204. #2388 | C23 | semidirect |
| 205. #2388 | C23 | semidirect |
| 206. C2×#394 | C23 | semidirect |
| 207. C2×#394 | C23 | semidirect |
| 208. C2×#392 | C23 | semidirect |
| 209. #2341 | C23 | semidirect |
| 210. #2341 | C23 | semidirect |
| 211. Q8×C22⋊C4 | C23 | semidirect |
| 212. Q8×C22⋊C4 | C23 | semidirect |
| 213. #2339 | C23 | semidirect |
| 214. #2339 | C23 | semidirect |
| 215. D4×C22⋊C4 | C23 | semidirect |
| 216. D4×C22⋊C4 | C23 | semidirect |
| 217. D4×C22⋊C4 | C23 | semidirect |
| 218. D4×C22⋊C4 | C23 | semidirect |
| 219. D4×C22⋊C4 | C23 | semidirect |
| 220. #2311 | C23 | semidirect |
| 221. #2309 | C23 | semidirect |
| 222. #2308 | C23 | semidirect |
| 225. C4×#120 | C23 | semidirect |
| 226. C4×#120 | C23 | semidirect |
| 227. C4×#120 | C23 | semidirect |
| 228. #2297 | C23 | semidirect |
| 229. C2×#390 | C23 | semidirect |
| 230. C2×#386 | C23 | semidirect |
| 231. C2×#386 | C23 | semidirect |
| 232. C2×#385 | C23 | semidirect |
| 233. C2×#385 | C23 | semidirect |
| 234. #2280 | C23 | semidirect |
| 235. C2×#380 | C23 | semidirect |
| 238. C2×#379 | C23 | semidirect |
| 239. C2×#379 | C23 | semidirect |
| 240. C2×#379 | C23 | semidirect |
| 241. C2×#379 | C23 | semidirect |
| 242. C2×C4×C22⋊C4 | C23 | semidirect |
| 264. C2×H(5,𝔽2) | C2×D4 | semidirect |
| 265. C2×H(5,𝔽2) | C2×D4 | semidirect |
| 276. C22×#41 | C2×D4 | semidirect |
| 284. C22×#41 | C24 | semidirect |
| 285. C22×#41 | C24 | semidirect |
| 286. C22×#41 | C24 | semidirect |
| 287. C22×#41 | C24 | semidirect |
| 291. C23×Q8 | C24 | semidirect |
| 292. C23×Q8 | C24 | semidirect |
| 302. C23×D4 | C2×D4 | semidirect |
| 314. C23×D4 | C24 | semidirect |
| 315. C23×D4 | C24 | semidirect |
| 316. C23×D4 | C24 | semidirect |
| 322. C24×C4 | C24 | semidirect |
| 323. C24×C4 | C24 | semidirect |
| 324. C24×C4 | C24 | semidirect |
| 345. C2×C4⋊Q8 | C24 | semidirect |
| 346. C2×#127 | C24 | semidirect |
| 348. C2×#124 | C24 | semidirect |
| 349. C2×#124 | C24 | semidirect |
| 350. C2×#124 | C24 | semidirect |
| 354. C2×#123 | C24 | semidirect |
| 355. C2×#123 | C24 | semidirect |
| 356. C2×#123 | C24 | semidirect |
| 359. C2×C22⋊Q8 | C24 | semidirect |
| 360. C2×C22⋊Q8 | C24 | semidirect |
| 361. C2×C22⋊Q8 | C24 | semidirect |
| 362. C2×C22⋊Q8 | C24 | semidirect |
| 366. C2×#121 | C24 | semidirect |
| 367. C2×#121 | C24 | semidirect |
| 368. C2×#121 | C24 | semidirect |
| 369. C2×#121 | C24 | semidirect |
| 370. C2×#121 | C24 | semidirect |
| 371. C2×#121 | C24 | semidirect |
| 372. C2×#121 | C24 | semidirect |
| 380. C2×#120 | C24 | semidirect |
| 381. C2×#120 | C24 | semidirect |
| 382. C2×#120 | C24 | semidirect |
| 386. C2×C4×Q8 | C24 | semidirect |
| 387. C2×C4×Q8 | C24 | semidirect |
| 392. C2×C4×D4 | C24 | semidirect |
| 393. C2×C4×D4 | C24 | semidirect |
| 394. C2×C4×D4 | C24 | semidirect |
| 395. C2×C4×D4 | C24 | semidirect |
| 396. C2×C4×D4 | C24 | semidirect |
| 397. C2×C4×D4 | C24 | semidirect |
| 398. C2×#117 | C24 | semidirect |
| 399. C22×C4⋊C4 | C24 | semidirect |
| 400. C22×C4⋊C4 | C24 | semidirect |
| 401. C22×C4⋊C4 | C24 | semidirect |
| 409. C22×C22⋊C4 | C24 | semidirect |
| 410. C22×C22⋊C4 | C24 | semidirect |
| 411. C22×C22⋊C4 | C24 | semidirect |
| 412. C22×C22⋊C4 | C24 | semidirect |
| 413. C22×C22⋊C4 | C24 | semidirect |
| 414. C22×C22⋊C4 | C24 | semidirect |
| 415. C22×C22⋊C4 | C24 | semidirect |
| 416. C22×C42 | C24 | semidirect |
| 417. #395 | C24 | semidirect |
| 418. #395 | C24 | semidirect |
| 419. #394 | C24 | semidirect |
| 420. #394 | C24 | semidirect |
| 421. #394 | C24 | semidirect |
| 422. #394 | C24 | semidirect |
| 423. #394 | C24 | semidirect |
| 424. #393 | C24 | semidirect |
| 425. #393 | C24 | semidirect |
| 426. #392 | C24 | semidirect |
| 427. #392 | C24 | semidirect |
| 428. #392 | C24 | semidirect |
| 429. #392 | C24 | semidirect |
| 430. #391 | C24 | semidirect |
| 431. #391 | C24 | semidirect |
| 432. #390 | C24 | semidirect |
| 433. #390 | C24 | semidirect |
| 434. #390 | C24 | semidirect |
| 438. #386 | C24 | semidirect |
| 439. #386 | C24 | semidirect |
| 440. #386 | C24 | semidirect |
| 441. #386 | C24 | semidirect |
| 442. #386 | C24 | semidirect |
| 446. #385 | C24 | semidirect |
| 447. #385 | C24 | semidirect |
| 448. #385 | C24 | semidirect |
| 449. #385 | C24 | semidirect |
| 450. #381 | C24 | semidirect |
| 453. #380 | C24 | semidirect |
| 454. #380 | C24 | semidirect |
| 462. #379 | C24 | semidirect |
| 463. #379 | C24 | semidirect |
| 464. #379 | C24 | semidirect |
| 465. #379 | C24 | semidirect |
| 468. C4×C22⋊C4 | C24 | semidirect |
| 469. C4×C22⋊C4 | C24 | semidirect |
| 470. C2×#95 | C24 | semidirect |
| 471. C2×#95 | C24 | semidirect |
| 503. H(5,𝔽2) | #120 | semidirect |
| 726. C24 | #585 | semidirect |
| 741. #41 | C2×#120 | semidirect |
| 778. C2×D4 | C2×#120 | semidirect |
| 949. C22 | #62987 | semidirect |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta