Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
289345 conjugacy classes of subgroups.
The subgroup lattice has 954 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C23×#585 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#62811 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #7630877 | C2 | 1 | 16 | yes | maximal, complemented |
| 4 | #7630869 | C2 | 1 | 16 | yes | maximal, complemented |
| 5 | #7630865 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #7630832 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #7630810 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #7630668 | C2 | 1 | 18 | yes | maximal, complemented |
| 9 | #7629680 | C2 | 1 | 32 | yes | maximal, complemented |
| 10 | #7628649 | C2 | 1 | 18 | yes | maximal, complemented |
| 11 | C2×#34632 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #7625442 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | C22×#585 | — | 2 | 96 | no | — |
| 14 | C22×#585 | C22 | 1 | 16 | yes | complemented |
| 15 | C22×#585 | C22 | 1 | 16 | yes | complemented |
| 16 | C22×#585 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C23×2−1+4 | C22 | 1 | 3 | yes | complemented |
| 18 | C23×2−1+4 | C22 | 1 | 3 | yes | complemented |
| 19 | C23×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C23×H(5,𝔽2) | C22 | 1 | 9 | yes | complemented |
| 21 | C24×#41 | C22 | 1 | 3 | yes | — |
| 22 | C24×#41 | C22 | 1 | 3 | yes | complemented |
| 23 | C24×#41 | C22 | 1 | 9 | yes | complemented |
| 24 | #62811 | — | 2 | 96 | no | — |
| 25 | C2×#3489 | C22 | 1 | 24 | yes | complemented |
| 26 | C2×#3488 | C22 | 1 | 24 | yes | complemented |
| 27 | C2×#3487 | C22 | 1 | 6 | yes | complemented |
| 28 | C2×#3486 | C22 | 1 | 6 | yes | complemented |
| 29 | C2×#3485 | C22 | 1 | 18 | yes | complemented |
| 30 | C2×#3484 | C22 | 1 | 18 | yes | complemented |
| 31 | C2×D4×#41 | C22 | 1 | 48 | yes | complemented |
| 32 | C2×#3449 | C22 | 1 | 18 | yes | complemented |
| 33 | C22×#525 | C22 | 1 | 18 | yes | complemented |
| 34 | C2×#3428 | C22 | 1 | 3 | yes | complemented |
| 35 | #36614 | C22 | 1 | 24 | yes | complemented |
| 36 | #36091 | C22 | 1 | 32 | yes | complemented |
| 37 | #36085 | C22 | 1 | 96 | yes | complemented |
| 38 | #36082 | C22 | 1 | 32 | yes | complemented |
| 39 | #36078 | C22 | 1 | 96 | yes | complemented |
| 40 | #35757 | C22 | 1 | 96 | yes | complemented |
| 41 | #35750 | C22 | 1 | 288 | yes | complemented |
| 42 | #35687 | C22 | 1 | 96 | yes | complemented |
| 43 | #35680 | C22 | 1 | 288 | yes | complemented |
| 44 | #35305 | C22 | 1 | 72 | yes | complemented |
| 45 | #35251 | C22 | 1 | 144 | yes | complemented |
| 46 | #35250 | C22 | 1 | 72 | yes | complemented |
| 47 | #35242 | C22 | 1 | 36 | yes | complemented |
| 48 | #35222 | C22 | 1 | 36 | yes | complemented |
| 49 | #35149 | C22 | 1 | 72 | yes | complemented |
| 50 | #35088 | C22 | 1 | 72 | yes | complemented |
| 51 | #34980 | C22 | 1 | 72 | yes | complemented |
| 52 | #34738 | C22 | 1 | 144 | yes | complemented |
| 53 | #34736 | C22 | 1 | 144 | yes | complemented |
| 54 | #34632 | C22 | 1 | 4 | yes | complemented |
| 55 | #34632 | C22 | 1 | 12 | yes | complemented |
| 56 | #34632 | C22 | 1 | 36 | yes | complemented |
| 57 | #34632 | C22 | 1 | 36 | yes | complemented |
| 58 | #34632 | C22 | 1 | 48 | yes | complemented |
| 59 | #34632 | C22 | 1 | 48 | yes | complemented |
| 60 | C2×#2616 | C22 | 1 | 24 | yes | complemented |
| 61 | C2×#2615 | C22 | 1 | 24 | yes | complemented |
| 62 | C2×#2614 | C22 | 1 | 12 | yes | complemented |
| 63 | C2×#2613 | C22 | 1 | 36 | yes | complemented |
| 64 | C2×#2388 | C22 | 1 | 48 | yes | complemented |
| 65 | #34175 | C22 | 1 | 48 | yes | complemented |
| 66 | #34174 | C22 | 1 | 6 | yes | complemented |
| 67 | #34173 | C22 | 1 | 6 | yes | complemented |
| 68 | #34172 | C22 | 1 | 18 | yes | complemented |
| 69 | #34171 | C22 | 1 | 18 | yes | complemented |
| 70 | C22⋊C4×#41 | C22 | 1 | 48 | yes | complemented |
| 71 | #34044 | C22 | 1 | 18 | yes | complemented |
| 72 | C2×#2280 | C22 | 1 | 18 | yes | complemented |
| 73 | C2×#585 | — | 2 | 2048 | no | — |
| 74 | C2×#585 | — | 2 | 48 | no | — |
| 75 | C2×#585 | — | 2 | 768 | no | — |
| 76 | C2×#585 | — | 2 | 768 | no | — |
| 77 | C22×2−1+4 | — | 2 | 144 | no | — |
| 78 | C22×2−1+4 | — | 2 | 48 | no | — |
| 79 | C22×2−1+4 | — | 2 | 96 | no | — |
| 80 | C22×2−1+4 | C23 | 1 | 2 | yes | — |
| 81 | C22×2−1+4 | C23 | 1 | 48 | yes | — |
| 82 | C22×2−1+4 | C23 | 1 | 48 | yes | — |
| 83 | C22×2−1+4 | C23 | 1 | 4 | yes | complemented |
| 84 | C22×H(5,𝔽2) | — | 2 | 144 | no | — |
| 85 | C22×H(5,𝔽2) | — | 2 | 48 | no | — |
| 86 | C22×H(5,𝔽2) | — | 2 | 288 | no | — |
| 87 | C22×H(5,𝔽2) | C23 | 1 | 6 | yes | — |
| 88 | C22×H(5,𝔽2) | C23 | 1 | 144 | yes | — |
| 89 | C22×H(5,𝔽2) | C23 | 1 | 16 | yes | — |
| 90 | C22×H(5,𝔽2) | C23 | 1 | 4 | yes | complemented |
| 91 | C23×#41 | — | 2 | 96 | no | — |
| 92 | C23×#41 | — | 2 | 288 | no | — |
| 93 | C23×#41 | — | 2 | 144 | no | — |
| 94 | C23×#41 | — | 2 | 144 | no | — |
| 95 | C23×#41 | D4 | 1 | 96 | yes | complemented |
| 96 | C23×#41 | C23 | 1 | 18 | yes | — |
| 97 | C23×#41 | C23 | 1 | 24 | yes | — |
| 98 | C23×#41 | C23 | 1 | 1 | yes | characteristic |
| 99 | C23×#41 | C23 | 1 | 9 | yes | — |
| 100 | C23×#41 | C23 | 1 | 3 | yes | — |
| 101 | C23×#41 | C23 | 1 | 9 | yes | — |
| 102 | C23×#41 | C23 | 1 | 24 | yes | — |
| 103 | C23×#41 | C23 | 1 | 18 | yes | — |
| 104 | C23×#41 | C23 | 1 | 72 | yes | — |
| 105 | C23×#41 | C23 | 1 | 72 | yes | — |
| 106 | C23×#41 | C23 | 1 | 6 | yes | — |
| 107 | C23×#41 | C23 | 1 | 24 | yes | — |
| 108 | C23×#41 | C23 | 1 | 9 | yes | — |
| 109 | C23×#41 | C23 | 1 | 3 | yes | — |
| 110 | C23×#41 | C23 | 1 | 24 | yes | — |
| 111 | C23×#41 | C23 | 1 | 9 | yes | — |
| 112 | C23×#41 | C23 | 1 | 1 | yes | characteristic |
| 113 | C23×#41 | C23 | 1 | 8 | yes | complemented |
| 114 | C24×Q8 | C23 | 1 | 3 | yes | — |
| 115 | C24×Q8 | C23 | 1 | 9 | yes | — |
| 116 | C24×Q8 | C23 | 1 | 3 | yes | — |
| 117 | C24×D4 | C23 | 1 | 9 | yes | — |
| 118 | C24×D4 | C23 | 1 | 18 | yes | — |
| 119 | C24×D4 | C23 | 1 | 9 | yes | — |
| 120 | C24×D4 | C23 | 1 | 9 | yes | — |
| 121 | C25×C4 | C23 | 1 | 6 | yes | — |
| 122 | C25×C4 | C23 | 1 | 9 | yes | — |
| 123 | #3489 | — | 2 | 384 | no | — |
| 124 | #3488 | — | 2 | 384 | no | — |
| 125 | #3487 | — | 2 | 96 | no | — |
| 126 | #3486 | — | 2 | 96 | no | — |
| 127 | #3485 | — | 2 | 288 | no | — |
| 128 | #3484 | — | 2 | 288 | no | — |
| 129 | D4×#41 | — | 2 | 768 | no | — |
| 130 | C2×#550 | C23 | 1 | 48 | yes | complemented |
| 131 | C2×D4×Q8 | C23 | 1 | 48 | yes | complemented |
| 132 | C2×#548 | C23 | 1 | 48 | yes | complemented |
| 133 | C2×#548 | C23 | 1 | 48 | yes | complemented |
| 134 | C2×#547 | C23 | 1 | 144 | yes | complemented |
| 135 | C2×#546 | C23 | 1 | 144 | yes | complemented |
| 136 | C2×#546 | C23 | 1 | 144 | yes | complemented |
| 137 | C2×D42 | C23 | 1 | 144 | yes | complemented |
| 138 | #3449 | — | 2 | 288 | no | — |
| 139 | C2×#537 | C23 | 1 | 72 | yes | complemented |
| 140 | C2×#536 | C23 | 1 | 36 | yes | — |
| 141 | C2×#536 | C23 | 1 | 36 | yes | complemented |
| 142 | C2×#535 | C23 | 1 | 36 | yes | — |
| 143 | C2×#535 | C23 | 1 | 36 | yes | complemented |
| 144 | C2×#534 | C23 | 1 | 72 | yes | — |
| 145 | C2×#532 | C23 | 1 | 72 | yes | complemented |
| 146 | C2×#525 | — | 2 | 288 | no | — |
| 147 | C2×#525 | C23 | 1 | 36 | yes | — |
| 148 | C2×#525 | C23 | 1 | 36 | yes | — |
| 149 | C2×#525 | C23 | 1 | 36 | yes | — |
| 150 | C2×#525 | C23 | 1 | 12 | yes | — |
| 151 | C2×#525 | C23 | 1 | 72 | yes | complemented |
| 152 | C2×#525 | C23 | 1 | 72 | yes | complemented |
| 153 | C2×#525 | C23 | 1 | 72 | yes | complemented |
| 154 | C22×#123 | C23 | 1 | 36 | yes | — |
| 155 | C22×C22⋊Q8 | C23 | 1 | 36 | yes | complemented |
| 156 | C22×#121 | C23 | 1 | 36 | yes | complemented |
| 157 | C22×#120 | C23 | 1 | 36 | yes | — |
| 158 | #3428 | — | 2 | 48 | no | — |
| 159 | C2×#520 | C23 | 1 | 24 | yes | complemented |
| 160 | C2×#519 | C23 | 1 | 6 | yes | — |
| 161 | C2×#518 | C23 | 1 | 18 | yes | — |
| 162 | C2×C4×#41 | C23 | 1 | 24 | yes | complemented |
| 163 | C22×C4×D4 | C23 | 1 | 72 | yes | complemented |
| 164 | C22×#117 | C23 | 1 | 18 | yes | — |
| 165 | #2849 | C23 | 1 | 144 | yes | — |
| 166 | #2848 | C23 | 1 | 96 | yes | complemented |
| 167 | #2847 | C23 | 1 | 96 | yes | complemented |
| 168 | #2846 | C23 | 1 | 48 | yes | — |
| 169 | #2616 | C23 | 1 | 16 | yes | complemented |
| 170 | #2616 | C23 | 1 | 144 | yes | complemented |
| 171 | #2616 | C23 | 1 | 144 | yes | complemented |
| 172 | #2616 | C23 | 1 | 48 | yes | complemented |
| 173 | #2615 | C23 | 1 | 16 | yes | complemented |
| 174 | #2615 | C23 | 1 | 144 | yes | complemented |
| 175 | #2615 | C23 | 1 | 144 | yes | complemented |
| 176 | #2615 | C23 | 1 | 48 | yes | complemented |
| 177 | #2614 | C23 | 1 | 72 | yes | — |
| 178 | #2614 | C23 | 1 | 8 | yes | — |
| 179 | #2614 | C23 | 1 | 96 | yes | complemented |
| 180 | #2613 | C23 | 1 | 72 | yes | — |
| 181 | #2613 | C23 | 1 | 24 | yes | — |
| 182 | #2613 | C23 | 1 | 144 | yes | — |
| 183 | #2613 | C23 | 1 | 288 | yes | complemented |
| 184 | #2436 | C23 | 1 | 144 | yes | complemented |
| 185 | #2435 | C23 | 1 | 144 | yes | complemented |
| 186 | #2434 | C23 | 1 | 144 | yes | complemented |
| 187 | #2433 | C23 | 1 | 144 | yes | complemented |
| 188 | #2432 | C23 | 1 | 288 | yes | complemented |
| 189 | #2431 | C23 | 1 | 288 | yes | complemented |
| 190 | #2430 | C23 | 1 | 576 | yes | complemented |
| 191 | #2410 | C23 | 1 | 576 | yes | complemented |
| 192 | #2409 | C23 | 1 | 288 | yes | complemented |
| 193 | #2408 | C23 | 1 | 288 | yes | complemented |
| 194 | #2407 | C23 | 1 | 576 | yes | complemented |
| 195 | #2406 | C23 | 1 | 288 | yes | complemented |
| 196 | #2405 | C23 | 1 | 288 | yes | complemented |
| 197 | #2404 | C23 | 1 | 288 | yes | complemented |
| 198 | #2403 | C23 | 1 | 288 | yes | complemented |
| 199 | #2388 | C23 | 1 | 32 | yes | complemented |
| 200 | #2388 | C23 | 1 | 288 | yes | complemented |
| 201 | #2388 | C23 | 1 | 288 | yes | complemented |
| 202 | #2388 | C23 | 1 | 96 | yes | complemented |
| 203 | C2×#395 | C23 | 1 | 48 | yes | complemented |
| 204 | C2×#394 | C23 | 1 | 144 | yes | complemented |
| 205 | C2×#393 | C23 | 1 | 48 | yes | complemented |
| 206 | C2×#392 | C23 | 1 | 144 | yes | complemented |
| 207 | #2341 | C23 | 1 | 96 | yes | complemented |
| 208 | Q8×C22⋊C4 | C23 | 1 | 96 | yes | complemented |
| 209 | #2339 | C23 | 1 | 288 | yes | complemented |
| 210 | D4×C22⋊C4 | C23 | 1 | 288 | yes | complemented |
| 211 | #2311 | C23 | 1 | 144 | yes | complemented |
| 212 | #2310 | C23 | 1 | 36 | yes | — |
| 213 | #2309 | C23 | 1 | 36 | yes | — |
| 214 | #2308 | C23 | 1 | 72 | yes | — |
| 215 | C4×#120 | C23 | 1 | 192 | yes | complemented |
| 216 | #2297 | C23 | 1 | 144 | yes | complemented |
| 217 | #2280 | C23 | 1 | 36 | yes | — |
| 218 | #2280 | C23 | 1 | 12 | yes | — |
| 219 | #2280 | C23 | 1 | 36 | yes | — |
| 220 | #2280 | C23 | 1 | 36 | yes | — |
| 221 | #2280 | C23 | 1 | 72 | yes | complemented |
| 222 | #2280 | C23 | 1 | 72 | yes | complemented |
| 223 | C2×#381 | C23 | 1 | 36 | yes | — |
| 224 | C2×#380 | C23 | 1 | 72 | yes | complemented |
| 225 | C2×#379 | C23 | 1 | 36 | yes | — |
| 226 | C2×C4×C22⋊C4 | C23 | 1 | 72 | yes | complemented |
| 227 | C26 | C24 | 1 | 6 | yes | — |
| 228 | C26 | C24 | 1 | 9 | yes | — |
| 229 | #585 | — | 2 | 8192 | no | — |
| 230 | #585 | — | 2 | 8192 | no | — |
| 231 | #585 | — | 4 | 256 | no | — |
| 232 | C2×2−1+4 | — | 2 | 1536 | no | — |
| 233 | C2×2−1+4 | — | 2 | 1536 | no | — |
| 234 | C2×2−1+4 | — | 2 | 1152 | no | — |
| 235 | C2×2−1+4 | — | 2 | 384 | no | — |
| 236 | C2×2−1+4 | — | 2 | 96 | no | — |
| 237 | C2×2−1+4 | — | 2 | 768 | no | — |
| 238 | C2×2−1+4 | — | 2 | 48 | no | — |
| 239 | C2×H(5,𝔽2) | — | 2 | 512 | no | — |
| 240 | C2×H(5,𝔽2) | — | 2 | 4608 | no | — |
| 241 | C2×H(5,𝔽2) | — | 2 | 1152 | no | — |
| 242 | C2×H(5,𝔽2) | — | 2 | 384 | no | — |
| 243 | C2×H(5,𝔽2) | — | 2 | 96 | no | — |
| 244 | C2×H(5,𝔽2) | — | 2 | 2304 | no | — |
| 245 | C2×H(5,𝔽2) | — | 2 | 144 | no | — |
| 246 | C22×#41 | — | 2 | 4608 | no | — |
| 247 | C22×#41 | — | 2 | 1536 | no | — |
| 248 | C22×#41 | — | 2 | 1536 | no | — |
| 249 | C22×#41 | — | 2 | 1152 | no | — |
| 250 | C22×#41 | — | 2 | 1152 | no | — |
| 251 | C22×#41 | — | 2 | 384 | no | — |
| 252 | C22×#41 | — | 2 | 384 | no | — |
| 253 | C22×#41 | — | 2 | 192 | no | — |
| 254 | C22×#41 | — | 2 | 144 | no | — |
| 255 | C22×#41 | — | 2 | 48 | no | — |
| 256 | C22×#41 | — | 2 | 288 | no | — |
| 257 | C22×#41 | — | 2 | 144 | no | — |
| 258 | C22×#41 | — | 2 | 144 | no | — |
| 259 | C22×#41 | — | 2 | 144 | no | — |
| 260 | C22×#41 | — | 2 | 24 | no | — |
| 261 | C22×#41 | — | 2 | 72 | no | — |
| 262 | C22×#41 | — | 2 | 144 | no | — |
| 263 | C22×#41 | — | 2 | 144 | no | — |
| 264 | C22×#41 | — | 2 | 72 | no | — |
| 265 | C22×#41 | — | 2 | 72 | no | — |
| 266 | C22×#41 | — | 2 | 144 | no | — |
| 267 | C22×#41 | — | 2 | 144 | no | — |
| 268 | C22×#41 | — | 2 | 576 | no | — |
| 269 | C22×#41 | — | 2 | 576 | no | — |
| 270 | C22×#41 | — | 2 | 576 | no | — |
| 271 | C22×#41 | — | 2 | 576 | no | — |
| 272 | C22×#41 | — | 2 | 144 | no | — |
| 273 | C22×#41 | C2×D4 | 1 | 48 | yes | — |
| 274 | C22×#41 | C2×D4 | 1 | 144 | yes | complemented |
| 275 | C22×#41 | C2×D4 | 1 | 144 | yes | complemented |
| 276 | C22×#41 | C2×D4 | 1 | 48 | yes | complemented |
| 277 | C22×#41 | C2×D4 | 1 | 384 | yes | complemented |
| 278 | C22×#41 | C2×D4 | 1 | 384 | yes | complemented |
| 279 | C22×#41 | C24 | 1 | 4 | yes | — |
| 280 | C22×#41 | C24 | 1 | 36 | yes | — |
| 281 | C22×#41 | C24 | 1 | 4 | yes | — |
| 282 | C22×#41 | C24 | 1 | 36 | yes | — |
| 283 | C22×#41 | C24 | 1 | 72 | yes | — |
| 284 | C22×#41 | C24 | 1 | 24 | yes | — |
| 285 | C22×#41 | C24 | 1 | 144 | yes | — |
| 286 | C22×#41 | C24 | 1 | 144 | yes | — |
| 287 | C22×#41 | C24 | 1 | 4 | yes | — |
| 288 | C22×#41 | C24 | 1 | 12 | yes | — |
| 289 | C22×#41 | C24 | 1 | 12 | yes | — |
| 290 | C22×#41 | C24 | 1 | 12 | yes | — |
| 291 | C22×#41 | C24 | 1 | 24 | yes | — |
| 292 | C22×#41 | C24 | 1 | 8 | yes | — |
| 293 | C22×#41 | C24 | 1 | 36 | yes | — |
| 294 | C22×#41 | C24 | 1 | 36 | yes | — |
| 295 | C22×#41 | C24 | 1 | 72 | yes | — |
| 296 | C22×#41 | C24 | 1 | 24 | yes | — |
| 297 | C22×#41 | C24 | 1 | 4 | yes | — |
| 298 | C22×#41 | C24 | 1 | 4 | yes | — |
| 299 | C23×Q8 | — | 2 | 144 | no | — |
| 300 | C23×Q8 | — | 2 | 48 | no | — |
| 301 | C23×Q8 | — | 2 | 72 | no | — |
| 302 | C23×Q8 | — | 2 | 72 | no | — |
| 303 | C23×Q8 | C2×D4 | 1 | 48 | yes | complemented |
| 304 | C23×Q8 | C24 | 1 | 1 | yes | characteristic |
| 305 | C23×Q8 | C24 | 1 | 9 | yes | — |
| 306 | C23×Q8 | C24 | 1 | 24 | yes | — |
| 307 | C23×Q8 | C24 | 1 | 72 | yes | — |
| 308 | C23×Q8 | C24 | 1 | 6 | yes | — |
| 309 | C23×Q8 | C24 | 1 | 8 | yes | — |
| 310 | C23×Q8 | C24 | 1 | 9 | yes | — |
| 311 | C23×Q8 | C24 | 1 | 24 | yes | — |
| 312 | C23×Q8 | C24 | 1 | 1 | yes | characteristic |
| 313 | C23×D4 | — | 2 | 144 | no | — |
| 314 | C23×D4 | — | 2 | 144 | no | — |
| 315 | C23×D4 | — | 2 | 288 | no | — |
| 316 | C23×D4 | — | 2 | 144 | no | — |
| 317 | C23×D4 | — | 2 | 144 | no | — |
| 318 | C23×D4 | — | 2 | 72 | no | — |
| 319 | C23×D4 | — | 2 | 72 | no | — |
| 320 | C23×D4 | C2×D4 | 1 | 144 | yes | complemented |
| 321 | C23×D4 | C24 | 1 | 9 | yes | — |
| 322 | C23×D4 | C24 | 1 | 18 | yes | — |
| 323 | C23×D4 | C24 | 1 | 3 | yes | — |
| 324 | C23×D4 | C24 | 1 | 72 | yes | — |
| 325 | C23×D4 | C24 | 1 | 144 | yes | — |
| 326 | C23×D4 | C24 | 1 | 72 | yes | — |
| 327 | C23×D4 | C24 | 1 | 12 | yes | — |
| 328 | C23×D4 | C24 | 1 | 6 | yes | — |
| 329 | C23×D4 | C24 | 1 | 24 | yes | — |
| 330 | C23×D4 | C24 | 1 | 18 | yes | — |
| 331 | C23×D4 | C24 | 1 | 9 | yes | — |
| 332 | C23×D4 | C24 | 1 | 72 | yes | — |
| 333 | C23×D4 | C24 | 1 | 72 | yes | — |
| 334 | C23×D4 | C24 | 1 | 3 | yes | — |
| 335 | C24×C4 | — | 2 | 144 | no | — |
| 336 | C24×C4 | — | 2 | 144 | no | — |
| 337 | C24×C4 | C2×D4 | 1 | 144 | yes | complemented |
| 338 | C24×C4 | C24 | 1 | 18 | yes | — |
| 339 | C24×C4 | C24 | 1 | 24 | yes | — |
| 340 | C24×C4 | C24 | 1 | 24 | yes | — |
| 341 | C24×C4 | C24 | 1 | 12 | yes | — |
| 342 | C24×C4 | C24 | 1 | 9 | yes | — |
| 343 | C24×C4 | C24 | 1 | 3 | yes | — |
| 344 | C24×C4 | C24 | 1 | 9 | yes | — |
| 345 | C24×C4 | C24 | 1 | 9 | yes | — |
| 346 | C24×C4 | C24 | 1 | 9 | yes | — |
| 347 | C24×C4 | C24 | 1 | 36 | yes | — |
| 348 | C24×C4 | C24 | 1 | 36 | yes | — |
| 349 | C24×C4 | C24 | 1 | 3 | yes | — |
| 350 | #550 | — | 2 | 384 | no | — |
| 351 | D4×Q8 | — | 2 | 384 | no | — |
| 352 | #548 | — | 2 | 384 | no | — |
| 353 | #548 | — | 2 | 384 | no | — |
| 354 | #547 | — | 2 | 1152 | no | — |
| 355 | #546 | — | 2 | 1152 | no | — |
| 356 | #546 | — | 2 | 1152 | no | — |
| 357 | D42 | — | 2 | 1152 | no | — |
| 358 | #537 | — | 2 | 576 | no | — |
| 359 | #536 | — | 2 | 288 | no | — |
| 360 | #536 | — | 2 | 288 | no | — |
| 361 | #535 | — | 2 | 288 | no | — |
| 362 | #535 | — | 2 | 288 | no | — |
| 363 | #534 | — | 2 | 576 | no | — |
| 364 | #532 | — | 2 | 576 | no | — |
| 365 | C2×C4⋊Q8 | C24 | 1 | 72 | yes | — |
| 366 | C2×#127 | C24 | 1 | 72 | yes | — |
| 367 | C2×#124 | C24 | 1 | 72 | yes | — |
| 368 | C2×#124 | C24 | 1 | 72 | yes | — |
| 369 | #525 | — | 2 | 576 | no | — |
| 370 | #525 | — | 2 | 96 | no | — |
| 371 | #525 | — | 2 | 288 | no | — |
| 372 | #525 | — | 2 | 288 | no | — |
| 373 | #525 | — | 2 | 288 | no | — |
| 374 | #525 | — | 2 | 576 | no | — |
| 375 | #525 | — | 2 | 576 | no | — |
| 376 | C2×#123 | — | 2 | 288 | no | — |
| 377 | C2×#123 | C24 | 1 | 72 | yes | — |
| 378 | C2×#123 | C24 | 1 | 24 | yes | — |
| 379 | C2×#123 | C24 | 1 | 144 | yes | — |
| 380 | C2×#123 | C24 | 1 | 144 | yes | — |
| 381 | C2×C22⋊Q8 | — | 2 | 288 | no | — |
| 382 | C2×C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 383 | C2×C22⋊Q8 | C24 | 1 | 24 | yes | — |
| 384 | C2×C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 385 | C2×C22⋊Q8 | C24 | 1 | 72 | yes | — |
| 386 | C2×C22⋊Q8 | C24 | 1 | 144 | yes | — |
| 387 | C2×#121 | — | 2 | 288 | no | — |
| 388 | C2×#121 | C24 | 1 | 72 | yes | — |
| 389 | C2×#121 | C24 | 1 | 24 | yes | — |
| 390 | C2×#121 | C24 | 1 | 72 | yes | — |
| 391 | C2×#121 | C24 | 1 | 72 | yes | — |
| 392 | C2×#121 | C24 | 1 | 144 | yes | — |
| 393 | C2×#121 | C24 | 1 | 288 | yes | — |
| 394 | C2×#120 | — | 2 | 288 | no | — |
| 395 | C2×#120 | C24 | 1 | 72 | yes | — |
| 396 | C2×#120 | C24 | 1 | 24 | yes | — |
| 397 | C2×#120 | C24 | 1 | 144 | yes | — |
| 398 | C2×#120 | C24 | 1 | 144 | yes | — |
| 399 | C2×#120 | C24 | 1 | 192 | yes | — |
| 400 | #520 | — | 2 | 192 | no | — |
| 401 | #519 | — | 2 | 48 | no | — |
| 402 | #518 | — | 2 | 144 | no | — |
| 403 | C4×#41 | — | 2 | 192 | no | — |
| 404 | C2×C4×Q8 | C24 | 1 | 48 | yes | — |
| 405 | C2×C4×D4 | — | 2 | 576 | no | — |
| 406 | C2×C4×D4 | C24 | 1 | 144 | yes | — |
| 407 | C2×C4×D4 | C24 | 1 | 48 | yes | — |
| 408 | C2×C4×D4 | C24 | 1 | 144 | yes | — |
| 409 | C2×C4×D4 | C24 | 1 | 144 | yes | — |
| 410 | C2×C4×D4 | C24 | 1 | 144 | yes | — |
| 411 | C2×#117 | — | 2 | 144 | no | — |
| 412 | C2×#117 | C24 | 1 | 36 | yes | — |
| 413 | C2×#117 | C24 | 1 | 36 | yes | — |
| 414 | C2×#117 | C24 | 1 | 12 | yes | — |
| 415 | C2×#117 | C24 | 1 | 36 | yes | — |
| 416 | C22×C4⋊C4 | C24 | 1 | 36 | yes | — |
| 417 | C22×C4⋊C4 | C24 | 1 | 72 | yes | — |
| 418 | C22×C22⋊C4 | C24 | 1 | 36 | yes | — |
| 419 | C22×C22⋊C4 | C24 | 1 | 72 | yes | — |
| 420 | C22×C22⋊C4 | C24 | 1 | 72 | yes | — |
| 421 | C22×C22⋊C4 | C24 | 1 | 144 | yes | — |
| 422 | C22×C42 | C24 | 1 | 36 | yes | — |
| 423 | #395 | C24 | 1 | 32 | yes | — |
| 424 | #395 | C24 | 1 | 288 | yes | — |
| 425 | #394 | C24 | 1 | 96 | yes | — |
| 426 | #394 | C24 | 1 | 576 | yes | — |
| 427 | #394 | C24 | 1 | 288 | yes | — |
| 428 | #393 | C24 | 1 | 32 | yes | — |
| 429 | #393 | C24 | 1 | 288 | yes | — |
| 430 | #392 | C24 | 1 | 96 | yes | — |
| 431 | #392 | C24 | 1 | 576 | yes | — |
| 432 | #392 | C24 | 1 | 288 | yes | — |
| 433 | #391 | C24 | 1 | 288 | yes | — |
| 434 | #390 | C24 | 1 | 288 | yes | — |
| 435 | #386 | C24 | 1 | 576 | yes | — |
| 436 | #386 | C24 | 1 | 576 | yes | — |
| 437 | #385 | C24 | 1 | 576 | yes | — |
| 438 | #381 | C24 | 1 | 72 | yes | — |
| 439 | #381 | C24 | 1 | 144 | yes | — |
| 440 | #381 | C24 | 1 | 24 | yes | — |
| 441 | #380 | C24 | 1 | 144 | yes | — |
| 442 | #380 | C24 | 1 | 144 | yes | — |
| 443 | #380 | C24 | 1 | 144 | yes | — |
| 444 | #380 | C24 | 1 | 48 | yes | — |
| 445 | #379 | C24 | 1 | 72 | yes | — |
| 446 | #379 | C24 | 1 | 192 | yes | — |
| 447 | #379 | C24 | 1 | 144 | yes | — |
| 448 | #379 | C24 | 1 | 24 | yes | — |
| 449 | C4×C22⋊C4 | C24 | 1 | 144 | yes | — |
| 450 | C4×C22⋊C4 | C24 | 1 | 144 | yes | — |
| 451 | C4×C22⋊C4 | C24 | 1 | 48 | yes | — |
| 452 | C4×C22⋊C4 | C24 | 1 | 144 | yes | — |
| 453 | C2×#95 | C24 | 1 | 144 | yes | — |
| 454 | C25 | — | 2 | 72 | no | — |
| 455 | C25 | — | 2 | 72 | no | — |
| 456 | C25 | — | 8 | 36 | no | — |
| 457 | C25 | — | 8 | 24 | no | — |
| 458 | C25 | C22×D4 | 1 | 72 | yes | — |
| 459 | C25 | C25 | 1 | 12 | yes | — |
| 460 | C25 | C25 | 1 | 24 | yes | — |
| 461 | C25 | C25 | 1 | 36 | yes | — |
| 462 | C25 | C25 | 1 | 9 | yes | — |
| 463 | C25 | C25 | 1 | 3 | yes | — |
| 464 | C25 | C25 | 1 | 3 | yes | — |
| 465 | 2−1+4 | — | 2 | 6144 | no | — |
| 466 | 2−1+4 | — | 2 | 6144 | no | — |
| 467 | 2−1+4 | — | 4 | 256 | no | — |
| 468 | 2−1+4 | — | 4 | 128 | no | — |
| 469 | H(5,𝔽2) | — | 2 | 2048 | no | — |
| 470 | H(5,𝔽2) | — | 2 | 18432 | no | — |
| 471 | H(5,𝔽2) | — | 4 | 256 | no | — |
| 472 | H(5,𝔽2) | — | 4 | 384 | no | — |
| 473 | C2×#41 | — | 2 | 1152 | no | — |
| 474 | C2×#41 | — | 2 | 128 | no | — |
| 475 | C2×#41 | — | 2 | 2304 | no | — |
| 476 | C2×#41 | — | 2 | 2304 | no | — |
| 477 | C2×#41 | — | 2 | 384 | no | — |
| 478 | C2×#41 | — | 2 | 1152 | no | — |
| 479 | C2×#41 | — | 2 | 9216 | no | — |
| 480 | C2×#41 | — | 2 | 9216 | no | — |
| 481 | C2×#41 | — | 2 | 3072 | no | — |
| 482 | C2×#41 | — | 2 | 3072 | no | — |
| 483 | C2×#41 | — | 2 | 3072 | no | — |
| 484 | C2×#41 | — | 2 | 3072 | no | — |
| 485 | C2×#41 | — | 2 | 384 | no | — |
| 486 | C2×#41 | — | 2 | 576 | no | — |
| 487 | C2×#41 | — | 2 | 192 | no | — |
| 488 | C2×#41 | — | 2 | 96 | no | — |
| 489 | C2×#41 | — | 2 | 1152 | no | — |
| 490 | C2×#41 | — | 2 | 1152 | no | — |
| 491 | C2×#41 | — | 2 | 576 | no | — |
| 492 | C2×#41 | — | 2 | 576 | no | — |
| 493 | C2×#41 | — | 2 | 288 | no | — |
| 494 | C2×#41 | — | 2 | 1152 | no | — |
| 495 | C2×#41 | — | 2 | 288 | no | — |
| 496 | C2×#41 | — | 2 | 48 | no | — |
| 497 | C2×#41 | — | 2 | 144 | no | — |
| 498 | C2×#41 | — | 2 | 288 | no | — |
| 499 | C2×#41 | — | 2 | 48 | no | — |
| 500 | C2×#41 | — | 2 | 144 | no | — |
| 501 | C2×#41 | — | 2 | 288 | no | — |
| 502 | C2×#41 | — | 2 | 288 | no | — |
| 503 | C2×#41 | — | 2 | 576 | no | — |
| 504 | C2×#41 | — | 2 | 288 | no | — |
| 505 | C2×#41 | — | 2 | 288 | no | — |
| 506 | C2×#41 | — | 2 | 576 | no | — |
| 507 | C2×#41 | — | 2 | 576 | no | — |
| 508 | C2×#41 | — | 2 | 48 | no | — |
| 509 | C2×#41 | — | 2 | 144 | no | — |
| 510 | C2×#41 | — | 2 | 144 | no | — |
| 511 | C2×#41 | — | 2 | 144 | no | — |
| 512 | C2×#41 | — | 4 | 512 | no | — |
| 513 | C2×#41 | — | 4 | 384 | no | — |
| 514 | C2×#41 | #120 | 1 | 256 | yes | complemented |
| 515 | C2×#41 | C22×D4 | 1 | 288 | yes | — |
| 516 | C2×#41 | C22×D4 | 1 | 288 | yes | — |
| 517 | C2×#41 | C22×D4 | 1 | 576 | yes | — |
| 518 | C2×#41 | C22×D4 | 1 | 192 | yes | — |
| 519 | C2×#41 | C22×D4 | 1 | 96 | yes | — |
| 520 | C2×#41 | C22×D4 | 1 | 96 | yes | — |
| 521 | C22×Q8 | — | 2 | 1152 | no | — |
| 522 | C22×Q8 | — | 2 | 384 | no | — |
| 523 | C22×Q8 | — | 2 | 384 | no | — |
| 524 | C22×Q8 | — | 2 | 576 | no | — |
| 525 | C22×Q8 | — | 2 | 192 | no | — |
| 526 | C22×Q8 | — | 2 | 96 | no | — |
| 527 | C22×Q8 | — | 2 | 72 | no | — |
| 528 | C22×Q8 | — | 2 | 12 | no | — |
| 529 | C22×Q8 | — | 2 | 36 | no | — |
| 530 | C22×Q8 | — | 2 | 72 | no | — |
| 531 | C22×Q8 | — | 2 | 288 | no | — |
| 532 | C22×Q8 | — | 2 | 288 | no | — |
| 533 | C22×Q8 | — | 2 | 72 | no | — |
| 534 | C22×Q8 | C22×D4 | 1 | 72 | yes | — |
| 535 | C22×Q8 | C22×D4 | 1 | 192 | yes | — |
| 536 | C22×Q8 | C22×D4 | 1 | 24 | yes | — |
| 537 | C22×Q8 | C25 | 1 | 4 | yes | — |
| 538 | C22×Q8 | C25 | 1 | 12 | yes | — |
| 539 | C22×Q8 | C25 | 1 | 4 | yes | — |
| 540 | C22×Q8 | C25 | 1 | 36 | yes | — |
| 541 | C22×Q8 | C25 | 1 | 36 | yes | — |
| 542 | C22×Q8 | C25 | 1 | 4 | yes | — |
| 543 | C22×D4 | — | 2 | 2304 | no | — |
| 544 | C22×D4 | — | 2 | 1152 | no | — |
| 545 | C22×D4 | — | 2 | 1152 | no | — |
| 546 | C22×D4 | — | 2 | 72 | no | — |
| 547 | C22×D4 | — | 2 | 72 | no | — |
| 548 | C22×D4 | — | 2 | 72 | no | — |
| 549 | C22×D4 | — | 2 | 24 | no | — |
| 550 | C22×D4 | — | 2 | 144 | no | — |
| 551 | C22×D4 | — | 2 | 576 | no | — |
| 552 | C22×D4 | — | 2 | 576 | no | — |
| 553 | C22×D4 | — | 2 | 1152 | no | — |
| 554 | C22×D4 | — | 2 | 1152 | no | — |
| 555 | C22×D4 | — | 2 | 576 | no | — |
| 556 | C22×D4 | — | 2 | 576 | no | — |
| 557 | C22×D4 | — | 2 | 144 | no | — |
| 558 | C22×D4 | — | 2 | 288 | no | — |
| 559 | C22×D4 | — | 2 | 288 | no | — |
| 560 | C22×D4 | — | 2 | 72 | no | — |
| 561 | C22×D4 | — | 2 | 12 | no | — |
| 562 | C22×D4 | — | 2 | 36 | no | — |
| 563 | C22×D4 | — | 2 | 72 | no | — |
| 564 | C22×D4 | — | 2 | 288 | no | — |
| 565 | C22×D4 | — | 2 | 288 | no | — |
| 566 | C22×D4 | — | 2 | 72 | no | — |
| 567 | C22×D4 | — | 8 | 144 | no | — |
| 568 | C22×D4 | C22×D4 | 1 | 144 | yes | — |
| 569 | C22×D4 | C22×D4 | 1 | 72 | yes | — |
| 570 | C22×D4 | C22×D4 | 1 | 576 | yes | — |
| 571 | C22×D4 | C22×D4 | 1 | 72 | yes | — |
| 572 | C22×D4 | C25 | 1 | 8 | yes | — |
| 573 | C22×D4 | C25 | 1 | 24 | yes | — |
| 574 | C22×D4 | C25 | 1 | 4 | yes | — |
| 575 | C22×D4 | C25 | 1 | 12 | yes | — |
| 576 | C22×D4 | C25 | 1 | 12 | yes | — |
| 577 | C22×D4 | C25 | 1 | 72 | yes | — |
| 578 | C22×D4 | C25 | 1 | 36 | yes | — |
| 579 | C22×D4 | C25 | 1 | 72 | yes | — |
| 580 | C22×D4 | C25 | 1 | 36 | yes | — |
| 581 | C22×D4 | C25 | 1 | 48 | yes | — |
| 582 | C22×D4 | C25 | 1 | 144 | yes | — |
| 583 | C22×D4 | C25 | 1 | 12 | yes | — |
| 584 | C23×C4 | — | 2 | 768 | no | — |
| 585 | C23×C4 | — | 2 | 72 | no | — |
| 586 | C23×C4 | — | 2 | 72 | no | — |
| 587 | C23×C4 | — | 2 | 1152 | no | — |
| 588 | C23×C4 | — | 2 | 72 | no | — |
| 589 | C23×C4 | — | 2 | 24 | no | — |
| 590 | C23×C4 | — | 2 | 144 | no | — |
| 591 | C23×C4 | — | 2 | 72 | no | — |
| 592 | C23×C4 | — | 2 | 72 | no | — |
| 593 | C23×C4 | — | 2 | 288 | no | — |
| 594 | C23×C4 | — | 2 | 288 | no | — |
| 595 | C23×C4 | — | 2 | 288 | no | — |
| 596 | C23×C4 | — | 2 | 288 | no | — |
| 597 | C23×C4 | — | 2 | 144 | no | — |
| 598 | C23×C4 | C22×D4 | 1 | 288 | yes | — |
| 599 | C23×C4 | C22×D4 | 1 | 288 | yes | — |
| 600 | C23×C4 | C22×D4 | 1 | 72 | yes | — |
| 601 | C23×C4 | C22×D4 | 1 | 72 | yes | — |
| 602 | C23×C4 | C22×D4 | 1 | 24 | yes | — |
| 603 | C23×C4 | C22×D4 | 1 | 72 | yes | — |
| 604 | C23×C4 | C22×D4 | 1 | 72 | yes | — |
| 605 | C23×C4 | C22×D4 | 1 | 72 | yes | — |
| 606 | C23×C4 | C25 | 1 | 12 | yes | — |
| 607 | C23×C4 | C25 | 1 | 24 | yes | — |
| 608 | C23×C4 | C25 | 1 | 72 | yes | — |
| 609 | C23×C4 | C25 | 1 | 8 | yes | — |
| 610 | C23×C4 | C25 | 1 | 36 | yes | — |
| 611 | C23×C4 | C25 | 1 | 36 | yes | — |
| 612 | C23×C4 | C25 | 1 | 36 | yes | — |
| 613 | C23×C4 | C25 | 1 | 18 | yes | — |
| 614 | C23×C4 | C25 | 1 | 6 | yes | — |
| 615 | C23×C4 | C25 | 1 | 9 | yes | — |
| 616 | C23×C4 | C25 | 1 | 3 | yes | — |
| 617 | C23×C4 | C25 | 1 | 18 | yes | — |
| 618 | C23×C4 | C25 | 1 | 6 | yes | — |
| 619 | C23×C4 | C25 | 1 | 72 | yes | — |
| 620 | C23×C4 | C25 | 1 | 6 | yes | — |
| 621 | C23×C4 | C25 | 1 | 3 | yes | — |
| 622 | C23×C4 | C25 | 1 | 1 | yes | characteristic |
| 623 | C23×C4 | C25 | 1 | 6 | yes | — |
| 624 | C4⋊Q8 | — | 2 | 288 | no | — |
| 625 | #127 | — | 2 | 288 | no | — |
| 626 | #124 | — | 2 | 288 | no | — |
| 627 | #124 | — | 2 | 288 | no | — |
| 628 | #123 | — | 2 | 576 | no | — |
| 629 | #123 | — | 2 | 96 | no | — |
| 630 | #123 | — | 2 | 288 | no | — |
| 631 | #123 | — | 2 | 576 | no | — |
| 632 | C22⋊Q8 | — | 2 | 576 | no | — |
| 633 | C22⋊Q8 | — | 2 | 96 | no | — |
| 634 | C22⋊Q8 | — | 2 | 288 | no | — |
| 635 | C22⋊Q8 | — | 2 | 288 | no | — |
| 636 | C22⋊Q8 | — | 2 | 288 | no | — |
| 637 | #121 | — | 2 | 576 | no | — |
| 638 | #121 | — | 2 | 1152 | no | — |
| 639 | #121 | — | 2 | 96 | no | — |
| 640 | #121 | — | 2 | 288 | no | — |
| 641 | #121 | — | 2 | 288 | no | — |
| 642 | #121 | — | 2 | 288 | no | — |
| 643 | #120 | — | 2 | 96 | no | — |
| 644 | #120 | — | 2 | 288 | no | — |
| 645 | #120 | — | 2 | 576 | no | — |
| 646 | #120 | — | 2 | 576 | no | — |
| 647 | #120 | — | 8 | 192 | no | — |
| 648 | C4×Q8 | — | 2 | 192 | no | — |
| 649 | C4×D4 | — | 2 | 576 | no | — |
| 650 | C4×D4 | — | 2 | 192 | no | — |
| 651 | C4×D4 | — | 2 | 576 | no | — |
| 652 | C4×D4 | — | 2 | 576 | no | — |
| 653 | C4×D4 | — | 2 | 576 | no | — |
| 654 | #117 | — | 2 | 48 | no | — |
| 655 | #117 | — | 2 | 144 | no | — |
| 656 | #117 | — | 2 | 144 | no | — |
| 657 | #117 | — | 2 | 144 | no | — |
| 658 | C2×C4⋊C4 | — | 2 | 144 | no | — |
| 659 | C2×C4⋊C4 | — | 2 | 288 | no | — |
| 660 | C2×C4⋊C4 | C25 | 1 | 24 | yes | — |
| 661 | C2×C4⋊C4 | C25 | 1 | 48 | yes | — |
| 662 | C2×C4⋊C4 | C25 | 1 | 72 | yes | — |
| 663 | C2×C4⋊C4 | C25 | 1 | 144 | yes | — |
| 664 | C2×C22⋊C4 | — | 2 | 144 | no | — |
| 665 | C2×C22⋊C4 | — | 2 | 288 | no | — |
| 666 | C2×C22⋊C4 | — | 2 | 288 | no | — |
| 667 | C2×C22⋊C4 | — | 8 | 144 | no | — |
| 668 | C2×C22⋊C4 | C25 | 1 | 24 | yes | — |
| 669 | C2×C22⋊C4 | C25 | 1 | 48 | yes | — |
| 670 | C2×C22⋊C4 | C25 | 1 | 48 | yes | — |
| 671 | C2×C22⋊C4 | C25 | 1 | 72 | yes | — |
| 672 | C2×C22⋊C4 | C25 | 1 | 144 | yes | — |
| 673 | C2×C22⋊C4 | C25 | 1 | 144 | yes | — |
| 674 | C2×C22⋊C4 | C25 | 1 | 96 | yes | — |
| 675 | C2×C22⋊C4 | C25 | 1 | 288 | yes | — |
| 676 | C2×C42 | — | 2 | 144 | no | — |
| 677 | C2×C42 | C25 | 1 | 72 | yes | — |
| 678 | C2×C42 | C25 | 1 | 24 | yes | — |
| 679 | #95 | C25 | 1 | 96 | yes | — |
| 680 | #95 | C25 | 1 | 288 | yes | — |
| 681 | C24 | — | 2 | 192 | no | — |
| 682 | C24 | — | 2 | 36 | no | — |
| 683 | C24 | — | 2 | 12 | no | — |
| 684 | C24 | — | 2 | 144 | no | — |
| 685 | C24 | — | 2 | 144 | no | — |
| 686 | C24 | — | 2 | 288 | no | — |
| 687 | C24 | — | 2 | 72 | no | — |
| 688 | C24 | — | 4 | 12 | no | — |
| 689 | C24 | — | 4 | 12 | no | — |
| 690 | C24 | — | 4 | 36 | no | — |
| 691 | C24 | — | 4 | 72 | no | — |
| 692 | C24 | — | 4 | 72 | no | — |
| 693 | C24 | — | 4 | 96 | no | — |
| 694 | C24 | — | 4 | 48 | no | — |
| 695 | C24 | — | 8 | 144 | no | — |
| 696 | C24 | — | 8 | 288 | no | — |
| 697 | C24 | — | 8 | 288 | no | — |
| 698 | C24 | C23×D4 | 1 | 144 | yes | — |
| 699 | C24 | C23×D4 | 1 | 36 | yes | — |
| 700 | C24 | C23×D4 | 1 | 12 | yes | — |
| 701 | C24 | C23×D4 | 1 | 36 | yes | — |
| 702 | C24 | C26 | 1 | 8 | yes | — |
| 703 | C24 | C26 | 1 | 6 | yes | — |
| 704 | C24 | C26 | 1 | 18 | yes | — |
| 705 | C24 | C26 | 1 | 1 | yes | characteristic |
| 706 | C24 | C26 | 1 | 6 | yes | — |
| 707 | #41 | — | 2 | 1152 | no | — |
| 708 | #41 | — | 2 | 128 | no | — |
| 709 | #41 | — | 2 | 1152 | no | — |
| 710 | #41 | — | 2 | 128 | no | — |
| 711 | #41 | — | 2 | 4608 | no | — |
| 712 | #41 | — | 2 | 4608 | no | — |
| 713 | #41 | — | 2 | 768 | no | — |
| 714 | #41 | — | 2 | 2304 | no | — |
| 715 | #41 | — | 2 | 768 | no | — |
| 716 | #41 | — | 2 | 2304 | no | — |
| 717 | #41 | — | 2 | 1152 | no | — |
| 718 | #41 | — | 2 | 1152 | no | — |
| 719 | #41 | — | 4 | 128 | no | — |
| 720 | #41 | — | 4 | 384 | no | — |
| 721 | #41 | — | 4 | 64 | no | — |
| 722 | #41 | — | 4 | 192 | no | — |
| 723 | #41 | — | 4 | 192 | no | — |
| 724 | #41 | — | 4 | 192 | no | — |
| 725 | #41 | C2×#120 | 1 | 256 | yes | — |
| 726 | #41 | C2×#120 | 1 | 256 | yes | — |
| 727 | C2×Q8 | — | 2 | 288 | no | — |
| 728 | C2×Q8 | — | 2 | 32 | no | — |
| 729 | C2×Q8 | — | 2 | 2304 | no | — |
| 730 | C2×Q8 | — | 2 | 768 | no | — |
| 731 | C2×Q8 | — | 2 | 768 | no | — |
| 732 | C2×Q8 | — | 2 | 144 | no | — |
| 733 | C2×Q8 | — | 2 | 24 | no | — |
| 734 | C2×Q8 | — | 2 | 72 | no | — |
| 735 | C2×Q8 | — | 2 | 144 | no | — |
| 736 | C2×Q8 | — | 2 | 24 | no | — |
| 737 | C2×Q8 | — | 2 | 72 | no | — |
| 738 | C2×Q8 | — | 2 | 288 | no | — |
| 739 | C2×Q8 | — | 4 | 128 | no | — |
| 740 | C2×Q8 | — | 4 | 96 | no | — |
| 741 | C2×Q8 | C2×#120 | 1 | 64 | yes | — |
| 742 | C2×Q8 | C23×D4 | 1 | 144 | yes | — |
| 743 | C2×Q8 | C23×D4 | 1 | 48 | yes | — |
| 744 | C2×D4 | — | 2 | 576 | no | — |
| 745 | C2×D4 | — | 2 | 288 | no | — |
| 746 | C2×D4 | — | 2 | 96 | no | — |
| 747 | C2×D4 | — | 2 | 4608 | no | — |
| 748 | C2×D4 | — | 2 | 2304 | no | — |
| 749 | C2×D4 | — | 2 | 2304 | no | — |
| 750 | C2×D4 | — | 2 | 144 | no | — |
| 751 | C2×D4 | — | 2 | 144 | no | — |
| 752 | C2×D4 | — | 2 | 48 | no | — |
| 753 | C2×D4 | — | 2 | 144 | no | — |
| 754 | C2×D4 | — | 2 | 288 | no | — |
| 755 | C2×D4 | — | 2 | 576 | no | — |
| 756 | C2×D4 | — | 2 | 2304 | no | — |
| 757 | C2×D4 | — | 2 | 96 | no | — |
| 758 | C2×D4 | — | 2 | 48 | no | — |
| 759 | C2×D4 | — | 2 | 144 | no | — |
| 760 | C2×D4 | — | 2 | 288 | no | — |
| 761 | C2×D4 | — | 2 | 144 | no | — |
| 762 | C2×D4 | — | 2 | 24 | no | — |
| 763 | C2×D4 | — | 2 | 72 | no | — |
| 764 | C2×D4 | — | 2 | 144 | no | — |
| 765 | C2×D4 | — | 2 | 24 | no | — |
| 766 | C2×D4 | — | 2 | 72 | no | — |
| 767 | C2×D4 | — | 2 | 288 | no | — |
| 768 | C2×D4 | — | 4 | 96 | no | — |
| 769 | C2×D4 | — | 4 | 288 | no | — |
| 770 | C2×D4 | — | 4 | 192 | no | — |
| 771 | C2×D4 | — | 4 | 384 | no | — |
| 772 | C2×D4 | — | 4 | 96 | no | — |
| 773 | C2×D4 | — | 8 | 576 | no | — |
| 774 | C2×D4 | C2×#120 | 1 | 192 | yes | — |
| 775 | C2×D4 | C23×D4 | 1 | 288 | yes | — |
| 776 | C2×D4 | C23×D4 | 1 | 144 | yes | — |
| 777 | C2×D4 | C23×D4 | 1 | 144 | yes | — |
| 778 | C22×C4 | — | 2 | 576 | no | — |
| 779 | C22×C4 | — | 2 | 768 | no | — |
| 780 | C22×C4 | — | 2 | 768 | no | — |
| 781 | C22×C4 | — | 2 | 36 | no | — |
| 782 | C22×C4 | — | 2 | 12 | no | — |
| 783 | C22×C4 | — | 2 | 144 | no | — |
| 784 | C22×C4 | — | 2 | 144 | no | — |
| 785 | C22×C4 | — | 2 | 288 | no | — |
| 786 | C22×C4 | — | 2 | 72 | no | — |
| 787 | C22×C4 | — | 2 | 24 | no | — |
| 788 | C22×C4 | — | 2 | 72 | no | — |
| 789 | C22×C4 | — | 2 | 24 | no | — |
| 790 | C22×C4 | — | 2 | 288 | no | — |
| 791 | C22×C4 | — | 2 | 144 | no | — |
| 792 | C22×C4 | — | 2 | 144 | no | — |
| 793 | C22×C4 | — | 2 | 288 | no | — |
| 794 | C22×C4 | — | 2 | 96 | no | — |
| 795 | C22×C4 | — | 2 | 288 | no | — |
| 796 | C22×C4 | — | 2 | 288 | no | — |
| 797 | C22×C4 | — | 2 | 1152 | no | — |
| 798 | C22×C4 | — | 2 | 1152 | no | — |
| 799 | C22×C4 | — | 2 | 72 | no | — |
| 800 | C22×C4 | — | 2 | 144 | no | — |
| 801 | C22×C4 | — | 2 | 48 | no | — |
| 802 | C22×C4 | — | 2 | 144 | no | — |
| 803 | C22×C4 | — | 4 | 144 | no | — |
| 804 | C22×C4 | — | 4 | 192 | no | — |
| 805 | C22×C4 | C2×#120 | 1 | 192 | yes | — |
| 806 | C22×C4 | C23×D4 | 1 | 144 | yes | — |
| 807 | C22×C4 | C23×D4 | 1 | 72 | yes | — |
| 808 | C22×C4 | C23×D4 | 1 | 24 | yes | — |
| 809 | C22×C4 | C23×D4 | 1 | 144 | yes | — |
| 810 | C22×C4 | C23×D4 | 1 | 144 | yes | — |
| 811 | C22×C4 | C23×D4 | 1 | 72 | yes | — |
| 812 | C22×C4 | C23×D4 | 1 | 24 | yes | — |
| 813 | C22×C4 | C23×D4 | 1 | 36 | yes | — |
| 814 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 815 | C22×C4 | C23×D4 | 1 | 72 | yes | — |
| 816 | C22×C4 | C23×D4 | 1 | 72 | yes | — |
| 817 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 818 | C22×C4 | C23×D4 | 1 | 36 | yes | — |
| 819 | C22×C4 | C26 | 1 | 48 | yes | — |
| 820 | C22×C4 | C26 | 1 | 8 | yes | — |
| 821 | C22×C4 | C26 | 1 | 18 | yes | — |
| 822 | C22×C4 | C26 | 1 | 6 | yes | — |
| 823 | C22×C4 | C26 | 1 | 6 | yes | — |
| 824 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 825 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 826 | C4⋊C4 | — | 2 | 48 | no | — |
| 827 | C4⋊C4 | — | 2 | 96 | no | — |
| 828 | C4⋊C4 | — | 2 | 144 | no | — |
| 829 | C4⋊C4 | — | 2 | 288 | no | — |
| 830 | C22⋊C4 | — | 2 | 48 | no | — |
| 831 | C22⋊C4 | — | 2 | 96 | no | — |
| 832 | C22⋊C4 | — | 2 | 144 | no | — |
| 833 | C22⋊C4 | — | 2 | 288 | no | — |
| 834 | C22⋊C4 | — | 2 | 96 | no | — |
| 835 | C22⋊C4 | — | 2 | 288 | no | — |
| 836 | C22⋊C4 | — | 4 | 96 | no | — |
| 837 | C22⋊C4 | — | 4 | 288 | no | — |
| 838 | C42 | — | 2 | 48 | no | — |
| 839 | C42 | — | 2 | 144 | no | — |
| 840 | C23 | — | 2 | 24 | no | — |
| 841 | C23 | — | 2 | 4 | no | — |
| 842 | C23 | — | 2 | 192 | no | — |
| 843 | C23 | — | 2 | 36 | no | — |
| 844 | C23 | — | 2 | 12 | no | — |
| 845 | C23 | — | 2 | 12 | no | — |
| 846 | C23 | — | 2 | 72 | no | — |
| 847 | C23 | — | 2 | 12 | no | — |
| 848 | C23 | — | 2 | 72 | no | — |
| 849 | C23 | — | 2 | 24 | no | — |
| 850 | C23 | — | 2 | 288 | no | — |
| 851 | C23 | — | 2 | 24 | no | — |
| 852 | C23 | — | 2 | 32 | no | — |
| 853 | C23 | — | 4 | 72 | no | — |
| 854 | C23 | — | 4 | 24 | no | — |
| 855 | C23 | — | 4 | 72 | no | — |
| 856 | C23 | — | 4 | 144 | no | — |
| 857 | C23 | — | 4 | 144 | no | — |
| 858 | C23 | — | 4 | 48 | no | — |
| 859 | C23 | — | 4 | 144 | no | — |
| 860 | C23 | — | 4 | 48 | no | — |
| 861 | C23 | — | 8 | 288 | no | — |
| 862 | C23 | — | 8 | 288 | no | — |
| 863 | C23 | — | 8 | 144 | no | — |
| 864 | C23 | — | 8 | 576 | no | — |
| 865 | C23 | — | 8 | 384 | no | — |
| 866 | C23 | C22×#120 | 1 | 48 | yes | — |
| 867 | C23 | C24×D4 | 1 | 36 | yes | — |
| 868 | C23 | C24×D4 | 1 | 12 | yes | — |
| 869 | C23 | C24×D4 | 1 | 6 | yes | — |
| 870 | C23 | C24×D4 | 1 | 36 | yes | — |
| 871 | C23 | C27 | 1 | 1 | yes | characteristic |
| 872 | Q8 | — | 2 | 288 | no | — |
| 873 | Q8 | — | 2 | 32 | no | — |
| 874 | Q8 | — | 2 | 288 | no | — |
| 875 | Q8 | — | 4 | 16 | no | — |
| 876 | Q8 | — | 4 | 48 | no | — |
| 877 | Q8 | C22×#120 | 1 | 64 | yes | — |
| 878 | D4 | — | 2 | 576 | no | — |
| 879 | D4 | — | 2 | 288 | no | — |
| 880 | D4 | — | 2 | 96 | no | — |
| 881 | D4 | — | 2 | 576 | no | — |
| 882 | D4 | — | 2 | 288 | no | — |
| 883 | D4 | — | 4 | 192 | no | — |
| 884 | D4 | — | 4 | 32 | no | — |
| 885 | D4 | — | 4 | 96 | no | — |
| 886 | D4 | — | 4 | 16 | no | — |
| 887 | D4 | — | 4 | 48 | no | — |
| 888 | D4 | — | 8 | 288 | no | — |
| 889 | D4 | C22×#120 | 1 | 192 | yes | — |
| 890 | C2×C4 | — | 2 | 576 | no | — |
| 891 | C2×C4 | — | 2 | 36 | no | — |
| 892 | C2×C4 | — | 2 | 12 | no | — |
| 893 | C2×C4 | — | 2 | 72 | no | — |
| 894 | C2×C4 | — | 2 | 24 | no | — |
| 895 | C2×C4 | — | 2 | 288 | no | — |
| 896 | C2×C4 | — | 2 | 144 | no | — |
| 897 | C2×C4 | — | 2 | 48 | no | — |
| 898 | C2×C4 | — | 2 | 144 | no | — |
| 899 | C2×C4 | — | 2 | 48 | no | — |
| 900 | C2×C4 | — | 2 | 288 | no | — |
| 901 | C2×C4 | — | 2 | 288 | no | — |
| 902 | C2×C4 | — | 2 | 48 | no | — |
| 903 | C2×C4 | — | 2 | 24 | no | — |
| 904 | C2×C4 | — | 2 | 96 | no | — |
| 905 | C2×C4 | — | 4 | 48 | no | — |
| 906 | C2×C4 | — | 4 | 32 | no | — |
| 907 | C2×C4 | — | 4 | 96 | no | — |
| 908 | C2×C4 | — | 8 | 144 | no | — |
| 909 | C2×C4 | C22×#120 | 1 | 16 | yes | — |
| 910 | C2×C4 | C22×#120 | 1 | 96 | yes | — |
| 911 | C2×C4 | C22×#120 | 1 | 48 | yes | — |
| 912 | C2×C4 | C22×#120 | 1 | 96 | yes | — |
| 913 | C2×C4 | C24×D4 | 1 | 36 | yes | — |
| 914 | C2×C4 | C24×D4 | 1 | 12 | yes | — |
| 915 | C2×C4 | C24×D4 | 1 | 6 | yes | — |
| 916 | C2×C4 | C24×D4 | 1 | 36 | yes | — |
| 917 | C2×C4 | C24×D4 | 1 | 6 | yes | — |
| 918 | C22 | — | 2 | 72 | no | — |
| 919 | C22 | — | 2 | 12 | no | — |
| 920 | C22 | — | 2 | 36 | no | — |
| 921 | C22 | — | 2 | 12 | no | — |
| 922 | C22 | — | 2 | 12 | no | — |
| 923 | C22 | — | 2 | 72 | no | — |
| 924 | C22 | — | 2 | 12 | no | — |
| 925 | C22 | — | 4 | 48 | no | — |
| 926 | C22 | — | 4 | 48 | no | — |
| 927 | C22 | — | 4 | 144 | no | — |
| 928 | C22 | — | 4 | 24 | no | — |
| 929 | C22 | — | 4 | 72 | no | — |
| 930 | C22 | — | 4 | 8 | no | — |
| 931 | C22 | — | 4 | 48 | no | — |
| 932 | C22 | — | 8 | 288 | no | — |
| 933 | C22 | — | 8 | 192 | no | — |
| 934 | C22 | — | 16 | 48 | no | — |
| 935 | C22 | C23×#120 | 1 | 4 | yes | — |
| 936 | C22 | C23×#120 | 1 | 24 | yes | — |
| 937 | C22 | C25×D4 | 1 | 3 | yes | — |
| 938 | C22 | #63103 | 1 | 4 | yes | — |
| 939 | C4 | — | 2 | 36 | no | — |
| 940 | C4 | — | 2 | 12 | no | — |
| 941 | C4 | — | 4 | 8 | no | — |
| 942 | C4 | — | 4 | 48 | no | — |
| 943 | C4 | C23×#120 | 1 | 4 | yes | — |
| 944 | C4 | C23×#120 | 1 | 4 | yes | — |
| 945 | C4 | C23×#120 | 1 | 24 | yes | — |
| 946 | C2 | — | 2 | 4 | no | — |
| 947 | C2 | — | 2 | 24 | no | — |
| 948 | C2 | — | 4 | 12 | no | — |
| 949 | C2 | — | 4 | 36 | no | — |
| 950 | C2 | — | 8 | 8 | no | — |
| 951 | C2 | C24×#120 | 1 | 1 | yes | characteristic |
| 952 | C2 | #10586020 | 1 | 6 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22×C4 | C26 |
| commutator, Frattini, cosocle | C23 | C27 |
| LCS | G ▷ C23 ▷ C1 | |
| UCS | C1 ◁ C22×C4 ◁ G | |
| LECS | G ▷ C23 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C23×#585 | C2 | semidirect |
| 2. C2×#62811 | C2 | semidirect |
| 3. #7630877 | C2 | semidirect |
| 4. #7630869 | C2 | semidirect |
| 5. #7630865 | C2 | semidirect |
| 6. #7630832 | C2 | semidirect |
| 7. #7630810 | C2 | semidirect |
| 8. #7630668 | C2 | semidirect |
| 9. #7629680 | C2 | semidirect |
| 10. #7628649 | C2 | semidirect |
| 11. C2×#34632 | C2 | semidirect |
| 12. #7625442 | C2 | semidirect |
| 14. C22×#585 | C22 | semidirect |
| 15. C22×#585 | C22 | semidirect |
| 16. C22×#585 | C22 | semidirect |
| 17. C23×2−1+4 | C22 | semidirect |
| 18. C23×2−1+4 | C22 | semidirect |
| 19. C23×H(5,𝔽2) | C22 | semidirect |
| 20. C23×H(5,𝔽2) | C22 | semidirect |
| 22. C24×#41 | C22 | semidirect |
| 23. C24×#41 | C22 | semidirect |
| 25. C2×#3489 | C22 | semidirect |
| 26. C2×#3488 | C22 | semidirect |
| 27. C2×#3487 | C22 | semidirect |
| 28. C2×#3486 | C22 | semidirect |
| 29. C2×#3485 | C22 | semidirect |
| 30. C2×#3484 | C22 | semidirect |
| 31. C2×D4×#41 | C22 | semidirect |
| 32. C2×#3449 | C22 | semidirect |
| 33. C22×#525 | C22 | semidirect |
| 34. C2×#3428 | C22 | semidirect |
| 35. #36614 | C22 | semidirect |
| 36. #36091 | C22 | semidirect |
| 37. #36085 | C22 | semidirect |
| 38. #36082 | C22 | semidirect |
| 39. #36078 | C22 | semidirect |
| 40. #35757 | C22 | semidirect |
| 41. #35750 | C22 | semidirect |
| 42. #35687 | C22 | semidirect |
| 43. #35680 | C22 | semidirect |
| 44. #35305 | C22 | semidirect |
| 45. #35251 | C22 | semidirect |
| 46. #35250 | C22 | semidirect |
| 47. #35242 | C22 | semidirect |
| 48. #35222 | C22 | semidirect |
| 49. #35149 | C22 | semidirect |
| 50. #35088 | C22 | semidirect |
| 51. #34980 | C22 | semidirect |
| 52. #34738 | C22 | semidirect |
| 53. #34736 | C22 | semidirect |
| 54. #34632 | C22 | semidirect |
| 55. #34632 | C22 | semidirect |
| 56. #34632 | C22 | semidirect |
| 57. #34632 | C22 | semidirect |
| 58. #34632 | C22 | semidirect |
| 59. #34632 | C22 | semidirect |
| 60. C2×#2616 | C22 | semidirect |
| 61. C2×#2615 | C22 | semidirect |
| 62. C2×#2614 | C22 | semidirect |
| 63. C2×#2613 | C22 | semidirect |
| 64. C2×#2388 | C22 | semidirect |
| 65. #34175 | C22 | semidirect |
| 66. #34174 | C22 | semidirect |
| 67. #34173 | C22 | semidirect |
| 68. #34172 | C22 | semidirect |
| 69. #34171 | C22 | semidirect |
| 70. C22⋊C4×#41 | C22 | semidirect |
| 71. #34044 | C22 | semidirect |
| 72. C2×#2280 | C22 | semidirect |
| 83. C22×2−1+4 | C23 | semidirect |
| 90. C22×H(5,𝔽2) | C23 | semidirect |
| 95. C23×#41 | D4 | semidirect |
| 113. C23×#41 | C23 | semidirect |
| 130. C2×#550 | C23 | semidirect |
| 131. C2×D4×Q8 | C23 | semidirect |
| 132. C2×#548 | C23 | semidirect |
| 133. C2×#548 | C23 | semidirect |
| 134. C2×#547 | C23 | semidirect |
| 135. C2×#546 | C23 | semidirect |
| 136. C2×#546 | C23 | semidirect |
| 137. C2×D42 | C23 | semidirect |
| 139. C2×#537 | C23 | semidirect |
| 141. C2×#536 | C23 | semidirect |
| 143. C2×#535 | C23 | semidirect |
| 145. C2×#532 | C23 | semidirect |
| 151. C2×#525 | C23 | semidirect |
| 152. C2×#525 | C23 | semidirect |
| 153. C2×#525 | C23 | semidirect |
| 155. C22×C22⋊Q8 | C23 | semidirect |
| 156. C22×#121 | C23 | semidirect |
| 159. C2×#520 | C23 | semidirect |
| 162. C2×C4×#41 | C23 | semidirect |
| 163. C22×C4×D4 | C23 | semidirect |
| 166. #2848 | C23 | semidirect |
| 167. #2847 | C23 | semidirect |
| 169. #2616 | C23 | semidirect |
| 170. #2616 | C23 | semidirect |
| 171. #2616 | C23 | semidirect |
| 172. #2616 | C23 | semidirect |
| 173. #2615 | C23 | semidirect |
| 174. #2615 | C23 | semidirect |
| 175. #2615 | C23 | semidirect |
| 176. #2615 | C23 | semidirect |
| 179. #2614 | C23 | semidirect |
| 183. #2613 | C23 | semidirect |
| 184. #2436 | C23 | semidirect |
| 185. #2435 | C23 | semidirect |
| 186. #2434 | C23 | semidirect |
| 187. #2433 | C23 | semidirect |
| 188. #2432 | C23 | semidirect |
| 189. #2431 | C23 | semidirect |
| 190. #2430 | C23 | semidirect |
| 191. #2410 | C23 | semidirect |
| 192. #2409 | C23 | semidirect |
| 193. #2408 | C23 | semidirect |
| 194. #2407 | C23 | semidirect |
| 195. #2406 | C23 | semidirect |
| 196. #2405 | C23 | semidirect |
| 197. #2404 | C23 | semidirect |
| 198. #2403 | C23 | semidirect |
| 199. #2388 | C23 | semidirect |
| 200. #2388 | C23 | semidirect |
| 201. #2388 | C23 | semidirect |
| 202. #2388 | C23 | semidirect |
| 203. C2×#395 | C23 | semidirect |
| 204. C2×#394 | C23 | semidirect |
| 205. C2×#393 | C23 | semidirect |
| 206. C2×#392 | C23 | semidirect |
| 207. #2341 | C23 | semidirect |
| 208. Q8×C22⋊C4 | C23 | semidirect |
| 209. #2339 | C23 | semidirect |
| 210. D4×C22⋊C4 | C23 | semidirect |
| 211. #2311 | C23 | semidirect |
| 215. C4×#120 | C23 | semidirect |
| 216. #2297 | C23 | semidirect |
| 221. #2280 | C23 | semidirect |
| 222. #2280 | C23 | semidirect |
| 224. C2×#380 | C23 | semidirect |
| 226. C2×C4×C22⋊C4 | C23 | semidirect |
| 274. C22×#41 | C2×D4 | semidirect |
| 275. C22×#41 | C2×D4 | semidirect |
| 276. C22×#41 | C2×D4 | semidirect |
| 277. C22×#41 | C2×D4 | semidirect |
| 278. C22×#41 | C2×D4 | semidirect |
| 303. C23×Q8 | C2×D4 | semidirect |
| 320. C23×D4 | C2×D4 | semidirect |
| 337. C24×C4 | C2×D4 | semidirect |
| 514. C2×#41 | #120 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#585 | 2 |
| C2×#62811 | 2 |
| #7630877 | 2 |
| #7630869 | 2 |
| #7630865 | 2 |
| #7630832 | 2 |
| #7630810 | 2 |
| #7630668 | 2 |
| #7629680 | 2 |
| #7628649 | 2 |
| C2×#34632 | 2 |
| #7625442 | 2 |