← #72338578
Subgroups — #72338578
Order 1024.
Only the 31993 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 821 nodes (normal subgroups only) — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10585995 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C22×#3498 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10575581 | C2 | 1 | 32 | yes | maximal, complemented |
| 4 | #10575572 | C2 | 1 | 16 | yes | maximal, complemented |
| 5 | #10575571 | C2 | 1 | 16 | yes | maximal, complemented |
| 6 | #10575560 | C2 | 1 | 12 | yes | maximal, complemented |
| 7 | #10575552 | C2 | 1 | 12 | yes | maximal, complemented |
| 8 | #10575547 | C2 | 1 | 12 | yes | maximal, complemented |
| 9 | #10575509 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | C2×#60798 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #10575254 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10575219 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #10574963 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #10574840 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #10574126 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C23×H(5,𝔽2) | C22 | 1 | 2 | yes | — |
| 17 | C2×#3585 | C22 | 1 | 8 | yes | complemented |
| 18 | #62815 | C22 | 1 | 6 | yes | complemented |
| 19 | #62814 | C22 | 1 | 6 | yes | complemented |
| 20 | #62813 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #62812 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #62811 | C22 | 1 | 2 | yes | — |
| 23 | #62810 | C22 | 1 | 16 | yes | complemented |
| 24 | #62805 | C22 | 1 | 8 | yes | complemented |
| 25 | #62800 | C22 | 1 | 8 | yes | complemented |
| 26 | C2×#3498 | C22 | 1 | 2 | yes | — |
| 27 | C2×#3498 | C22 | 1 | 2 | yes | — |
| 28 | C2×#3498 | C22 | 1 | 6 | yes | complemented |
| 29 | C2×#3498 | C22 | 1 | 6 | yes | complemented |
| 30 | C2×#3498 | C22 | 1 | 16 | yes | complemented |
| 31 | C2×#3498 | C22 | 1 | 16 | yes | complemented |
| 32 | #62686 | C22 | 1 | 6 | yes | complemented |
| 33 | C22×#535 | C22 | 1 | 6 | yes | complemented |
| 34 | C2×#3444 | C22 | 1 | 6 | yes | complemented |
| 35 | C22×#532 | C22 | 1 | 3 | yes | complemented |
| 36 | C23×#127 | C22 | 1 | 3 | yes | complemented |
| 37 | C4×#585 | C22 | 1 | 2 | yes | complemented |
| 38 | C22×C4×#41 | C22 | 1 | 1 | yes | characteristic |
| 39 | #60833 | C22 | 1 | 192 | yes | complemented |
| 40 | #60832 | C22 | 1 | 192 | yes | complemented |
| 41 | #60830 | C22 | 1 | 96 | yes | complemented |
| 42 | #60827 | C22 | 1 | 96 | yes | complemented |
| 43 | #60822 | C22 | 1 | 96 | yes | complemented |
| 44 | #60818 | C22 | 1 | 48 | yes | complemented |
| 45 | #60817 | C22 | 1 | 48 | yes | complemented |
| 46 | #60812 | C22 | 1 | 192 | yes | complemented |
| 47 | #60811 | C22 | 1 | 192 | yes | complemented |
| 48 | #60806 | C22 | 1 | 96 | yes | complemented |
| 49 | #60805 | C22 | 1 | 48 | yes | complemented |
| 50 | #60804 | C22 | 1 | 24 | yes | complemented |
| 51 | #60803 | C22 | 1 | 24 | yes | complemented |
| 52 | #60802 | C22 | 1 | 24 | yes | complemented |
| 53 | #60801 | C22 | 1 | 24 | yes | complemented |
| 54 | #60800 | C22 | 1 | 4 | yes | complemented |
| 55 | #60799 | C22 | 1 | 24 | yes | complemented |
| 56 | #60798 | C22 | 1 | 12 | yes | complemented |
| 57 | #60798 | C22 | 1 | 24 | yes | complemented |
| 58 | #60798 | C22 | 1 | 24 | yes | complemented |
| 59 | #60798 | C22 | 1 | 24 | yes | complemented |
| 60 | #60798 | C22 | 1 | 48 | yes | complemented |
| 61 | #60798 | C22 | 1 | 48 | yes | complemented |
| 62 | #60790 | C22 | 1 | 48 | yes | complemented |
| 63 | C2×#3217 | C22 | 1 | 48 | yes | complemented |
| 64 | #60782 | C22 | 1 | 48 | yes | complemented |
| 65 | C2×#3208 | C22 | 1 | 24 | yes | complemented |
| 66 | C2×#3205 | C22 | 1 | 24 | yes | complemented |
| 67 | #60650 | C22 | 1 | 32 | yes | complemented |
| 68 | #60647 | C22 | 1 | 16 | yes | complemented |
| 69 | #60646 | C22 | 1 | 16 | yes | complemented |
| 70 | #60644 | C22 | 1 | 24 | yes | complemented |
| 71 | #60639 | C22 | 1 | 12 | yes | complemented |
| 72 | C2×#3151 | C22 | 1 | 12 | yes | complemented |
| 73 | #60626 | C22 | 1 | 32 | yes | complemented |
| 74 | #60622 | C22 | 1 | 32 | yes | complemented |
| 75 | #60619 | C22 | 1 | 24 | yes | complemented |
| 76 | #60618 | C22 | 1 | 12 | yes | complemented |
| 77 | C2×#3138 | C22 | 1 | 12 | yes | complemented |
| 78 | #60431 | C22 | 1 | 64 | yes | complemented |
| 79 | #60428 | C22 | 1 | 64 | yes | complemented |
| 80 | #60426 | C22 | 1 | 48 | yes | complemented |
| 81 | #60415 | C22 | 1 | 24 | yes | complemented |
| 82 | C2×#3038 | C22 | 1 | 24 | yes | complemented |
| 83 | #60373 | C22 | 1 | 64 | yes | complemented |
| 84 | #60372 | C22 | 1 | 64 | yes | complemented |
| 85 | #60367 | C22 | 1 | 48 | yes | complemented |
| 86 | #60359 | C22 | 1 | 24 | yes | complemented |
| 87 | C2×#3003 | C22 | 1 | 24 | yes | complemented |
| 88 | #60128 | C22 | 1 | 16 | yes | complemented |
| 89 | #60127 | C22 | 1 | 16 | yes | complemented |
| 90 | #60125 | C22 | 1 | 6 | yes | complemented |
| 91 | #60124 | C22 | 1 | 6 | yes | complemented |
| 92 | #60123 | C22 | 1 | 6 | yes | complemented |
| 93 | C2×#2920 | C22 | 1 | 6 | yes | complemented |
| 94 | #60099 | C22 | 1 | 2 | yes | complemented |
| 95 | #60087 | C22 | 1 | 8 | yes | complemented |
| 96 | #60064 | C22 | 1 | 2 | yes | — |
| 97 | C4×#568 | C22 | 1 | 2 | yes | complemented |
| 98 | C2×#585 | C23 | 1 | 2 | yes | — |
| 99 | C22×H(5,𝔽2) | C23 | 1 | 4 | yes | — |
| 100 | C22×H(5,𝔽2) | C23 | 1 | 12 | yes | — |
| 101 | C22×H(5,𝔽2) | C23 | 1 | 32 | yes | — |
| 102 | C23×#41 | C23 | 1 | 1 | yes | characteristic |
| 103 | C23×#41 | C23 | 1 | 6 | yes | — |
| 104 | C24×D4 | C23 | 1 | 6 | yes | — |
| 105 | C2×#577 | C23 | 1 | 64 | yes | complemented |
| 106 | C2×#576 | C23 | 1 | 64 | yes | complemented |
| 107 | C2×#575 | C23 | 1 | 48 | yes | complemented |
| 108 | C22×AGL(1,ℤ/8) | C23 | 1 | 48 | yes | complemented |
| 109 | C2×#568 | C23 | 1 | 4 | yes | — |
| 110 | #3512 | C23 | 1 | 24 | yes | complemented |
| 111 | #3511 | C23 | 1 | 24 | yes | complemented |
| 112 | #3510 | C23 | 1 | 24 | yes | complemented |
| 113 | #3509 | C23 | 1 | 12 | yes | complemented |
| 114 | #3508 | C23 | 1 | 12 | yes | complemented |
| 115 | #3504 | C23 | 1 | 8 | yes | complemented |
| 116 | #3503 | C23 | 1 | 8 | yes | complemented |
| 117 | #3500 | C23 | 1 | 8 | yes | complemented |
| 118 | #3499 | C23 | 1 | 4 | yes | complemented |
| 119 | #3498 | C23 | 1 | 32 | yes | — |
| 120 | #3498 | C23 | 1 | 16 | yes | — |
| 121 | #3498 | C23 | 1 | 16 | yes | — |
| 122 | #3498 | C23 | 1 | 48 | yes | — |
| 123 | #3498 | C23 | 1 | 48 | yes | — |
| 124 | #3498 | C23 | 1 | 96 | yes | — |
| 125 | #3498 | C23 | 1 | 4 | yes | complemented |
| 126 | #3495 | C23 | 1 | 48 | yes | complemented |
| 127 | #3494 | C23 | 1 | 48 | yes | complemented |
| 128 | #3489 | C23 | 1 | 16 | yes | — |
| 129 | #3488 | C23 | 1 | 16 | yes | — |
| 130 | #3461 | C23 | 1 | 48 | yes | complemented |
| 131 | #3460 | C23 | 1 | 48 | yes | complemented |
| 132 | #3458 | C23 | 1 | 6 | yes | complemented |
| 133 | #3455 | C23 | 1 | 24 | yes | complemented |
| 134 | #3449 | C23 | 1 | 12 | yes | — |
| 135 | #3449 | C23 | 1 | 6 | yes | complemented |
| 136 | C2×#535 | C23 | 1 | 12 | yes | — |
| 137 | C2×#535 | C23 | 1 | 12 | yes | — |
| 138 | C2×#535 | C23 | 1 | 24 | yes | — |
| 139 | C2×#535 | C23 | 1 | 96 | yes | — |
| 140 | #3444 | C23 | 1 | 12 | yes | — |
| 141 | #3444 | C23 | 1 | 4 | yes | — |
| 142 | #3444 | C23 | 1 | 12 | yes | complemented |
| 143 | #3444 | C23 | 1 | 12 | yes | complemented |
| 144 | #3444 | C23 | 1 | 24 | yes | complemented |
| 145 | #3444 | C23 | 1 | 24 | yes | complemented |
| 146 | C2×#533 | C23 | 1 | 6 | yes | complemented |
| 147 | C2×#533 | C23 | 1 | 12 | yes | complemented |
| 148 | C2×#532 | C23 | 1 | 6 | yes | — |
| 149 | C2×#532 | C23 | 1 | 6 | yes | — |
| 150 | C2×#532 | C23 | 1 | 24 | yes | — |
| 151 | C2×#532 | C23 | 1 | 24 | yes | — |
| 152 | C2×#532 | C23 | 1 | 6 | yes | — |
| 153 | C2×#532 | C23 | 1 | 6 | yes | — |
| 154 | C2×#532 | C23 | 1 | 12 | yes | complemented |
| 155 | C2×#532 | C23 | 1 | 6 | yes | complemented |
| 156 | C22×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 157 | C22×#127 | C23 | 1 | 6 | yes | — |
| 158 | C22×#127 | C23 | 1 | 6 | yes | — |
| 159 | C22×#127 | C23 | 1 | 24 | yes | — |
| 160 | C22×#127 | C23 | 1 | 24 | yes | — |
| 161 | C22×#127 | C23 | 1 | 6 | yes | — |
| 162 | C22×#127 | C23 | 1 | 6 | yes | — |
| 163 | C22×#127 | C23 | 1 | 3 | yes | — |
| 164 | C22×#127 | C23 | 1 | 6 | yes | — |
| 165 | C2×#529 | C23 | 1 | 24 | yes | complemented |
| 166 | C22×#124 | C23 | 1 | 6 | yes | — |
| 167 | C2×#525 | C23 | 1 | 12 | yes | — |
| 168 | C4×2−1+4 | C23 | 1 | 16 | yes | complemented |
| 169 | C4×H(5,𝔽2) | C23 | 1 | 16 | yes | complemented |
| 170 | #3428 | C23 | 1 | 2 | yes | — |
| 171 | #3428 | C23 | 1 | 12 | yes | complemented |
| 172 | C2×C4×#41 | D4 | 1 | 6 | yes | — |
| 173 | C2×C4×#41 | D4 | 1 | 8 | yes | — |
| 174 | C2×C4×#41 | D4 | 1 | 8 | yes | — |
| 175 | C2×C4×#41 | D4 | 1 | 2 | yes | — |
| 176 | C2×C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 177 | C2×C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 178 | C2×C4×#41 | C23 | 1 | 8 | yes | — |
| 179 | C2×C4×#41 | C23 | 1 | 8 | yes | — |
| 180 | C2×C4×#41 | C23 | 1 | 3 | yes | — |
| 181 | C2×C4×#41 | C23 | 1 | 3 | yes | — |
| 182 | C2×C4×#41 | C23 | 1 | 12 | yes | complemented |
| 183 | C22×C4×Q8 | D4 | 1 | 2 | yes | — |
| 184 | C22×C4×D4 | D4 | 1 | 6 | yes | — |
| 185 | C22×#117 | C23 | 1 | 3 | yes | — |
| 186 | C23×C42 | C23 | 1 | 3 | yes | — |
| 187 | #3224 | C23 | 1 | 768 | yes | complemented |
| 188 | #3222 | C23 | 1 | 384 | yes | complemented |
| 189 | #3220 | C23 | 1 | 384 | yes | complemented |
| 190 | #3219 | C23 | 1 | 192 | yes | complemented |
| 191 | #3218 | C23 | 1 | 32 | yes | complemented |
| 192 | #3217 | C23 | 1 | 96 | yes | complemented |
| 193 | #3217 | C23 | 1 | 192 | yes | complemented |
| 194 | #3217 | C23 | 1 | 192 | yes | complemented |
| 195 | #3217 | C23 | 1 | 192 | yes | complemented |
| 196 | #3216 | C23 | 1 | 96 | yes | complemented |
| 197 | #3215 | C23 | 1 | 96 | yes | complemented |
| 198 | #3214 | C23 | 1 | 96 | yes | complemented |
| 199 | #3213 | C23 | 1 | 96 | yes | complemented |
| 200 | #3212 | C23 | 1 | 192 | yes | complemented |
| 201 | #3211 | C23 | 1 | 192 | yes | complemented |
| 202 | #3210 | C23 | 1 | 96 | yes | complemented |
| 203 | #3209 | C23 | 1 | 16 | yes | complemented |
| 204 | #3208 | C23 | 1 | 48 | yes | complemented |
| 205 | #3208 | C23 | 1 | 96 | yes | complemented |
| 206 | #3208 | C23 | 1 | 96 | yes | complemented |
| 207 | #3208 | C23 | 1 | 96 | yes | complemented |
| 208 | #3207 | C23 | 1 | 96 | yes | complemented |
| 209 | #3206 | C23 | 1 | 16 | yes | complemented |
| 210 | #3205 | C23 | 1 | 48 | yes | complemented |
| 211 | #3205 | C23 | 1 | 96 | yes | complemented |
| 212 | #3205 | C23 | 1 | 96 | yes | complemented |
| 213 | #3205 | C23 | 1 | 96 | yes | complemented |
| 214 | #3155 | C23 | 1 | 192 | yes | complemented |
| 215 | #3154 | C23 | 1 | 192 | yes | complemented |
| 216 | #3153 | C23 | 1 | 48 | yes | complemented |
| 217 | #3153 | C23 | 1 | 48 | yes | complemented |
| 218 | #3152 | C23 | 1 | 8 | yes | complemented |
| 219 | #3152 | C23 | 1 | 24 | yes | complemented |
| 220 | #3151 | C23 | 1 | 24 | yes | complemented |
| 221 | #3151 | C23 | 1 | 48 | yes | complemented |
| 222 | #3151 | C23 | 1 | 48 | yes | complemented |
| 223 | #3151 | C23 | 1 | 48 | yes | complemented |
| 224 | #3151 | C23 | 1 | 24 | yes | complemented |
| 225 | #3150 | C23 | 1 | 48 | yes | complemented |
| 226 | C2×#496 | C23 | 1 | 48 | yes | complemented |
| 227 | #3147 | C23 | 1 | 48 | yes | complemented |
| 228 | C2×#493 | C23 | 1 | 24 | yes | complemented |
| 229 | C2×#492 | C23 | 1 | 24 | yes | complemented |
| 230 | #3142 | C23 | 1 | 48 | yes | complemented |
| 231 | #3141 | C23 | 1 | 48 | yes | complemented |
| 232 | #3140 | C23 | 1 | 48 | yes | complemented |
| 233 | #3139 | C23 | 1 | 8 | yes | complemented |
| 234 | #3138 | C23 | 1 | 24 | yes | complemented |
| 235 | #3138 | C23 | 1 | 48 | yes | complemented |
| 236 | #3138 | C23 | 1 | 48 | yes | complemented |
| 237 | #3138 | C23 | 1 | 48 | yes | complemented |
| 238 | #3136 | C23 | 1 | 384 | yes | complemented |
| 239 | #3135 | C23 | 1 | 48 | yes | complemented |
| 240 | C2×#490 | C23 | 1 | 48 | yes | complemented |
| 241 | #3131 | C23 | 1 | 48 | yes | complemented |
| 242 | C2×#486 | C23 | 1 | 48 | yes | complemented |
| 243 | #3045 | C23 | 1 | 384 | yes | complemented |
| 244 | #3043 | C23 | 1 | 192 | yes | complemented |
| 245 | #3041 | C23 | 1 | 192 | yes | complemented |
| 246 | #3040 | C23 | 1 | 96 | yes | complemented |
| 247 | #3039 | C23 | 1 | 16 | yes | complemented |
| 248 | #3038 | C23 | 1 | 96 | yes | complemented |
| 249 | #3038 | C23 | 1 | 48 | yes | complemented |
| 250 | #3038 | C23 | 1 | 192 | yes | complemented |
| 251 | #3037 | C23 | 1 | 96 | yes | complemented |
| 252 | #3036 | C23 | 1 | 96 | yes | complemented |
| 253 | #3035 | C23 | 1 | 192 | yes | complemented |
| 254 | C2×#460 | C23 | 1 | 96 | yes | complemented |
| 255 | C2×#459 | C23 | 1 | 96 | yes | complemented |
| 256 | #3012 | C23 | 1 | 384 | yes | complemented |
| 257 | #3009 | C23 | 1 | 192 | yes | complemented |
| 258 | #3008 | C23 | 1 | 192 | yes | complemented |
| 259 | #3007 | C23 | 1 | 96 | yes | complemented |
| 260 | #3006 | C23 | 1 | 96 | yes | complemented |
| 261 | #3005 | C23 | 1 | 96 | yes | complemented |
| 262 | #3004 | C23 | 1 | 16 | yes | — |
| 263 | #3003 | C23 | 1 | 48 | yes | — |
| 264 | #3003 | C23 | 1 | 96 | yes | complemented |
| 265 | #3003 | C23 | 1 | 192 | yes | complemented |
| 266 | #3002 | C23 | 1 | 192 | yes | complemented |
| 267 | C2×#450 | C23 | 1 | 96 | yes | complemented |
| 268 | C2×#447 | C23 | 1 | 96 | yes | complemented |
| 269 | #2925 | C23 | 1 | 96 | yes | complemented |
| 270 | #2924 | C23 | 1 | 96 | yes | complemented |
| 271 | #2923 | C23 | 1 | 48 | yes | complemented |
| 272 | #2922 | C23 | 1 | 48 | yes | complemented |
| 273 | #2921 | C23 | 1 | 24 | yes | complemented |
| 274 | #2920 | C23 | 1 | 4 | yes | — |
| 275 | #2920 | C23 | 1 | 12 | yes | — |
| 276 | #2920 | C23 | 1 | 12 | yes | complemented |
| 277 | #2920 | C23 | 1 | 12 | yes | complemented |
| 278 | #2920 | C23 | 1 | 24 | yes | complemented |
| 279 | #2920 | C23 | 1 | 24 | yes | complemented |
| 280 | C2×#432 | C23 | 1 | 24 | yes | complemented |
| 281 | C2×#431 | C23 | 1 | 24 | yes | complemented |
| 282 | #2906 | C23 | 1 | 32 | yes | complemented |
| 283 | #2905 | C23 | 1 | 12 | yes | complemented |
| 284 | C2×#423 | C23 | 1 | 12 | yes | complemented |
| 285 | #2897 | C23 | 1 | 128 | yes | complemented |
| 286 | #2896 | C23 | 1 | 48 | yes | complemented |
| 287 | C2×#418 | C23 | 1 | 48 | yes | complemented |
| 288 | #2880 | C23 | 1 | 32 | yes | — |
| 289 | #2879 | C23 | 1 | 12 | yes | — |
| 290 | C2×#407 | C23 | 1 | 12 | yes | — |
| 291 | #2875 | C23 | 1 | 16 | yes | complemented |
| 292 | C4×#131 | C23 | 1 | 16 | yes | complemented |
| 293 | #2873 | C23 | 1 | 12 | yes | complemented |
| 294 | C2×C4×M16 | C23 | 1 | 12 | yes | complemented |
| 295 | C2×2−1+4 | C24 | 1 | 8 | yes | — |
| 296 | C2×H(5,𝔽2) | C24 | 1 | 32 | yes | — |
| 297 | C2×H(5,𝔽2) | C24 | 1 | 96 | yes | — |
| 298 | C2×H(5,𝔽2) | C24 | 1 | 8 | yes | — |
| 299 | C22×#41 | C2×D4 | 1 | 3 | yes | — |
| 300 | C22×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 301 | C22×#41 | C2×D4 | 1 | 8 | yes | — |
| 302 | C22×#41 | C24 | 1 | 1 | yes | characteristic |
| 303 | C22×#41 | C24 | 1 | 3 | yes | — |
| 304 | C22×#41 | C24 | 1 | 8 | yes | — |
| 305 | C22×#41 | C24 | 1 | 12 | yes | — |
| 306 | C22×#41 | C24 | 1 | 48 | yes | — |
| 307 | C22×#41 | C24 | 1 | 12 | yes | — |
| 308 | C22×#41 | C24 | 1 | 12 | yes | — |
| 309 | C23×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 310 | C23×Q8 | C24 | 1 | 2 | yes | — |
| 311 | C23×D4 | C2×D4 | 1 | 3 | yes | — |
| 312 | C23×D4 | C24 | 1 | 6 | yes | — |
| 313 | C23×D4 | C24 | 1 | 12 | yes | — |
| 314 | C23×D4 | C24 | 1 | 48 | yes | — |
| 315 | C23×D4 | C24 | 1 | 12 | yes | — |
| 316 | C24×C4 | C2×D4 | 1 | 6 | yes | — |
| 317 | C24×C4 | C24 | 1 | 3 | yes | — |
| 318 | C2×#137 | C24 | 1 | 32 | yes | — |
| 319 | C2×#137 | C24 | 1 | 96 | yes | complemented |
| 320 | C2×AGL(1,ℤ/8) | C24 | 1 | 96 | yes | — |
| 321 | C2×AGL(1,ℤ/8) | C24 | 1 | 192 | yes | complemented |
| 322 | C2×AGL(1,ℤ/8) | C24 | 1 | 96 | yes | complemented |
| 323 | C2×#135 | C24 | 1 | 192 | yes | complemented |
| 324 | C22×SD16 | C24 | 1 | 96 | yes | complemented |
| 325 | C22×D8 | C24 | 1 | 96 | yes | complemented |
| 326 | C2×#131 | C24 | 1 | 32 | yes | — |
| 327 | C22×M16 | C24 | 1 | 24 | yes | — |
| 328 | #544 | C24 | 1 | 48 | yes | complemented |
| 329 | #542 | C24 | 1 | 96 | yes | complemented |
| 330 | #541 | C24 | 1 | 48 | yes | complemented |
| 331 | #540 | C24 | 1 | 48 | yes | complemented |
| 332 | #537 | C24 | 1 | 48 | yes | — |
| 333 | #536 | C24 | 1 | 24 | yes | — |
| 334 | #536 | C24 | 1 | 24 | yes | complemented |
| 335 | #535 | C24 | 1 | 24 | yes | — |
| 336 | #535 | C24 | 1 | 96 | yes | — |
| 337 | #535 | C24 | 1 | 192 | yes | — |
| 338 | #535 | C24 | 1 | 96 | yes | — |
| 339 | #535 | C24 | 1 | 24 | yes | complemented |
| 340 | #533 | C24 | 1 | 4 | yes | — |
| 341 | #533 | C24 | 1 | 12 | yes | — |
| 342 | #533 | C24 | 1 | 8 | yes | — |
| 343 | #533 | C24 | 1 | 24 | yes | — |
| 344 | #533 | C24 | 1 | 12 | yes | complemented |
| 345 | #533 | C24 | 1 | 12 | yes | complemented |
| 346 | #533 | C24 | 1 | 24 | yes | complemented |
| 347 | #533 | C24 | 1 | 24 | yes | complemented |
| 348 | #532 | C24 | 1 | 8 | yes | — |
| 349 | #532 | C24 | 1 | 24 | yes | — |
| 350 | #532 | C24 | 1 | 24 | yes | — |
| 351 | #532 | C24 | 1 | 24 | yes | — |
| 352 | #532 | C24 | 1 | 4 | yes | — |
| 353 | #532 | C24 | 1 | 12 | yes | — |
| 354 | #532 | C24 | 1 | 24 | yes | — |
| 355 | #532 | C24 | 1 | 48 | yes | — |
| 356 | #532 | C24 | 1 | 24 | yes | — |
| 357 | #532 | C24 | 1 | 48 | yes | — |
| 358 | #532 | C24 | 1 | 24 | yes | complemented |
| 359 | #532 | C24 | 1 | 24 | yes | complemented |
| 360 | #532 | C24 | 1 | 12 | yes | complemented |
| 361 | #532 | C24 | 1 | 12 | yes | complemented |
| 362 | C2×C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 363 | C2×C4⋊Q8 | C24 | 1 | 4 | yes | — |
| 364 | C2×C4⋊Q8 | C24 | 1 | 4 | yes | — |
| 365 | C2×C4⋊Q8 | C24 | 1 | 2 | yes | — |
| 366 | C2×C4⋊Q8 | C24 | 1 | 12 | yes | complemented |
| 367 | C2×C4⋊Q8 | C24 | 1 | 6 | yes | complemented |
| 368 | C2×#127 | C24 | 1 | 24 | yes | — |
| 369 | C2×#127 | C24 | 1 | 24 | yes | — |
| 370 | C2×#127 | C24 | 1 | 6 | yes | — |
| 371 | C2×#127 | C24 | 1 | 12 | yes | — |
| 372 | C2×#127 | C24 | 1 | 12 | yes | — |
| 373 | C2×#127 | C24 | 1 | 12 | yes | — |
| 374 | C2×#127 | C24 | 1 | 6 | yes | — |
| 375 | C2×#127 | C24 | 1 | 48 | yes | — |
| 376 | C2×#127 | C24 | 1 | 12 | yes | — |
| 377 | C2×#127 | C24 | 1 | 24 | yes | — |
| 378 | C2×#127 | C24 | 1 | 48 | yes | — |
| 379 | C2×#127 | C24 | 1 | 24 | yes | — |
| 380 | C2×#127 | C24 | 1 | 48 | yes | — |
| 381 | C2×#127 | C24 | 1 | 6 | yes | complemented |
| 382 | #529 | C24 | 1 | 16 | yes | — |
| 383 | #529 | C24 | 1 | 48 | yes | — |
| 384 | #529 | C24 | 1 | 48 | yes | complemented |
| 385 | #529 | C24 | 1 | 48 | yes | complemented |
| 386 | C2×#125 | C24 | 1 | 12 | yes | complemented |
| 387 | C2×#124 | C24 | 1 | 12 | yes | — |
| 388 | C2×#124 | C24 | 1 | 48 | yes | — |
| 389 | C2×#124 | C24 | 1 | 12 | yes | — |
| 390 | C2×#124 | C24 | 1 | 12 | yes | complemented |
| 391 | #525 | C24 | 1 | 8 | yes | — |
| 392 | #525 | C24 | 1 | 24 | yes | — |
| 393 | #525 | C24 | 1 | 48 | yes | — |
| 394 | C2×C22⋊Q8 | C24 | 1 | 24 | yes | — |
| 395 | C2×#121 | C24 | 1 | 24 | yes | — |
| 396 | #520 | C24 | 1 | 16 | yes | — |
| 397 | #520 | C24 | 1 | 48 | yes | complemented |
| 398 | #519 | C24 | 1 | 24 | yes | complemented |
| 399 | #518 | C24 | 1 | 24 | yes | complemented |
| 400 | C4×#41 | C2×D4 | 1 | 24 | yes | — |
| 401 | C4×#41 | C2×D4 | 1 | 24 | yes | — |
| 402 | C4×#41 | C2×D4 | 1 | 8 | yes | — |
| 403 | C4×#41 | C2×D4 | 1 | 8 | yes | — |
| 404 | C4×#41 | C2×D4 | 1 | 24 | yes | — |
| 405 | C4×#41 | C2×D4 | 1 | 24 | yes | — |
| 406 | C4×#41 | C2×D4 | 1 | 8 | yes | — |
| 407 | C4×#41 | C2×D4 | 1 | 8 | yes | — |
| 408 | C4×#41 | C2×D4 | 1 | 24 | yes | — |
| 409 | C4×#41 | C2×D4 | 1 | 12 | yes | — |
| 410 | C4×#41 | C2×D4 | 1 | 12 | yes | — |
| 411 | C4×#41 | C2×D4 | 1 | 8 | yes | — |
| 412 | C4×#41 | C2×D4 | 1 | 4 | yes | — |
| 413 | C4×#41 | C2×D4 | 1 | 4 | yes | — |
| 414 | C4×#41 | C24 | 1 | 4 | yes | — |
| 415 | C4×#41 | C24 | 1 | 4 | yes | — |
| 416 | C4×#41 | C24 | 1 | 8 | yes | — |
| 417 | C4×#41 | C24 | 1 | 12 | yes | — |
| 418 | C4×#41 | C24 | 1 | 12 | yes | — |
| 419 | C4×#41 | C24 | 1 | 24 | yes | — |
| 420 | C4×#41 | C24 | 1 | 8 | yes | — |
| 421 | C4×#41 | C24 | 1 | 24 | yes | — |
| 422 | C4×#41 | C24 | 1 | 48 | yes | complemented |
| 423 | C2×C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 424 | C2×C4×Q8 | C2×D4 | 1 | 2 | yes | — |
| 425 | C2×C4×Q8 | C2×D4 | 1 | 8 | yes | — |
| 426 | C2×C4×Q8 | C2×D4 | 1 | 8 | yes | — |
| 427 | C2×C4×Q8 | C2×D4 | 1 | 8 | yes | — |
| 428 | C2×C4×Q8 | C2×D4 | 1 | 8 | yes | — |
| 429 | C2×C4×Q8 | C2×D4 | 1 | 6 | yes | — |
| 430 | C2×C4×Q8 | C2×D4 | 1 | 6 | yes | — |
| 431 | C2×C4×Q8 | C24 | 1 | 24 | yes | complemented |
| 432 | C2×C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 433 | C2×C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 434 | C2×C4×D4 | C2×D4 | 1 | 24 | yes | — |
| 435 | C2×C4×D4 | C2×D4 | 1 | 24 | yes | — |
| 436 | C2×C4×D4 | C2×D4 | 1 | 24 | yes | — |
| 437 | C2×C4×D4 | C2×D4 | 1 | 24 | yes | — |
| 438 | C2×C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 439 | C2×C4×D4 | C2×D4 | 1 | 12 | yes | — |
| 440 | C2×C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 441 | C2×C4×D4 | C2×D4 | 1 | 12 | yes | — |
| 442 | C2×C4×D4 | C24 | 1 | 24 | yes | complemented |
| 443 | C2×#117 | C2×D4 | 1 | 6 | yes | — |
| 444 | C2×#117 | C2×D4 | 1 | 24 | yes | — |
| 445 | C2×#117 | C2×D4 | 1 | 6 | yes | — |
| 446 | C2×#117 | C24 | 1 | 3 | yes | — |
| 447 | C2×#117 | C24 | 1 | 3 | yes | — |
| 448 | C2×#117 | C24 | 1 | 6 | yes | — |
| 449 | C2×#117 | C24 | 1 | 24 | yes | — |
| 450 | C2×#117 | C24 | 1 | 12 | yes | — |
| 451 | C22×C4⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 452 | C22×C22⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 453 | C22×C42 | C2×D4 | 1 | 6 | yes | — |
| 454 | C22×C42 | C2×D4 | 1 | 12 | yes | — |
| 455 | C22×C42 | C2×D4 | 1 | 6 | yes | — |
| 456 | C22×C42 | C2×D4 | 1 | 12 | yes | — |
| 457 | C22×C42 | C2×D4 | 1 | 6 | yes | — |
| 458 | C22×C42 | C24 | 1 | 3 | yes | — |
| 459 | C22×C42 | C24 | 1 | 3 | yes | — |
| 460 | C22×C42 | C24 | 1 | 1 | yes | characteristic |
| 461 | C22×C42 | C24 | 1 | 3 | yes | — |
| 462 | C22×C42 | C24 | 1 | 12 | yes | — |
| 463 | C22×C42 | C24 | 1 | 12 | yes | — |
| 464 | C22×C42 | C24 | 1 | 3 | yes | — |
| 465 | C22×C42 | C24 | 1 | 3 | yes | — |
| 466 | #497 | C24 | 1 | 32 | yes | complemented |
| 467 | #497 | C24 | 1 | 96 | yes | complemented |
| 468 | #496 | C24 | 1 | 96 | yes | complemented |
| 469 | #496 | C24 | 1 | 192 | yes | complemented |
| 470 | #496 | C24 | 1 | 96 | yes | complemented |
| 471 | #495 | C24 | 1 | 192 | yes | complemented |
| 472 | #494 | C24 | 1 | 16 | yes | complemented |
| 473 | #493 | C24 | 1 | 48 | yes | complemented |
| 474 | #493 | C24 | 1 | 96 | yes | complemented |
| 475 | #492 | C24 | 1 | 48 | yes | complemented |
| 476 | #492 | C24 | 1 | 96 | yes | complemented |
| 477 | #492 | C24 | 1 | 16 | yes | complemented |
| 478 | #491 | C24 | 1 | 32 | yes | complemented |
| 479 | #490 | C24 | 1 | 96 | yes | complemented |
| 480 | #490 | C24 | 1 | 192 | yes | complemented |
| 481 | #489 | C24 | 1 | 192 | yes | complemented |
| 482 | #488 | C24 | 1 | 192 | yes | complemented |
| 483 | #487 | C24 | 1 | 32 | yes | complemented |
| 484 | #486 | C24 | 1 | 96 | yes | complemented |
| 485 | #486 | C24 | 1 | 192 | yes | complemented |
| 486 | #464 | C24 | 1 | 384 | yes | complemented |
| 487 | #463 | C24 | 1 | 384 | yes | complemented |
| 488 | #462 | C24 | 1 | 64 | yes | complemented |
| 489 | #461 | C24 | 1 | 64 | yes | complemented |
| 490 | #460 | C24 | 1 | 192 | yes | complemented |
| 491 | #460 | C24 | 1 | 384 | yes | complemented |
| 492 | #459 | C24 | 1 | 192 | yes | complemented |
| 493 | #459 | C24 | 1 | 384 | yes | complemented |
| 494 | #452 | C24 | 1 | 384 | yes | complemented |
| 495 | #451 | C24 | 1 | 64 | yes | — |
| 496 | #450 | C24 | 1 | 192 | yes | — |
| 497 | #450 | C24 | 1 | 384 | yes | complemented |
| 498 | #449 | C24 | 1 | 384 | yes | complemented |
| 499 | #448 | C24 | 1 | 64 | yes | — |
| 500 | #447 | C24 | 1 | 192 | yes | — |
| 501 | #447 | C24 | 1 | 384 | yes | complemented |
| 502 | #433 | C24 | 1 | 192 | yes | complemented |
| 503 | #432 | C24 | 1 | 16 | yes | — |
| 504 | #432 | C24 | 1 | 48 | yes | — |
| 505 | #432 | C24 | 1 | 48 | yes | complemented |
| 506 | #432 | C24 | 1 | 48 | yes | complemented |
| 507 | #431 | C24 | 1 | 16 | yes | — |
| 508 | #431 | C24 | 1 | 48 | yes | — |
| 509 | #431 | C24 | 1 | 48 | yes | complemented |
| 510 | #431 | C24 | 1 | 48 | yes | complemented |
| 511 | #424 | C24 | 1 | 96 | yes | complemented |
| 512 | #423 | C24 | 1 | 8 | yes | — |
| 513 | #423 | C24 | 1 | 24 | yes | — |
| 514 | #423 | C24 | 1 | 48 | yes | complemented |
| 515 | C2×C4⋊C8 | C24 | 1 | 48 | yes | complemented |
| 516 | #419 | C24 | 1 | 32 | yes | — |
| 517 | #418 | C24 | 1 | 96 | yes | — |
| 518 | #418 | C24 | 1 | 192 | yes | complemented |
| 519 | #417 | C24 | 1 | 192 | yes | complemented |
| 520 | #416 | C24 | 1 | 192 | yes | complemented |
| 521 | C2×#102 | C24 | 1 | 192 | yes | complemented |
| 522 | #408 | C24 | 1 | 96 | yes | — |
| 523 | #407 | C24 | 1 | 8 | yes | — |
| 524 | #407 | C24 | 1 | 24 | yes | — |
| 525 | #407 | C24 | 1 | 48 | yes | — |
| 526 | C2×C22⋊C8 | C24 | 1 | 48 | yes | — |
| 527 | #405 | C24 | 1 | 96 | yes | complemented |
| 528 | C4×M16 | C24 | 1 | 8 | yes | — |
| 529 | C4×M16 | C24 | 1 | 24 | yes | — |
| 530 | C4×M16 | C24 | 1 | 24 | yes | complemented |
| 531 | C4×M16 | C24 | 1 | 24 | yes | complemented |
| 532 | C2×#97 | C24 | 1 | 24 | yes | complemented |
| 533 | C2×C4×C8 | C24 | 1 | 24 | yes | complemented |
| 534 | C25 | C22×D4 | 1 | 3 | yes | — |
| 535 | C2×#41 | C22×D4 | 1 | 12 | yes | — |
| 536 | C2×#41 | C22×D4 | 1 | 24 | yes | — |
| 537 | C2×#41 | C22×D4 | 1 | 8 | yes | — |
| 538 | C2×#41 | C22×D4 | 1 | 4 | yes | — |
| 539 | C2×#41 | H(5,𝔽2) | 1 | 16 | yes | — |
| 540 | C2×#41 | C25 | 1 | 12 | yes | — |
| 541 | C2×#41 | C25 | 1 | 4 | yes | — |
| 542 | C2×#41 | C25 | 1 | 8 | yes | — |
| 543 | C2×#41 | C25 | 1 | 24 | yes | — |
| 544 | C2×#41 | C25 | 1 | 48 | yes | — |
| 545 | C2×#41 | C25 | 1 | 48 | yes | — |
| 546 | C22×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 547 | C22×Q8 | C22×D4 | 1 | 3 | yes | — |
| 548 | C22×Q8 | C22×D4 | 1 | 8 | yes | — |
| 549 | C22×Q8 | C25 | 1 | 12 | yes | — |
| 550 | C22×Q8 | C25 | 1 | 4 | yes | — |
| 551 | C22×Q8 | C25 | 1 | 8 | yes | — |
| 552 | C22×D4 | C22×D4 | 1 | 3 | yes | — |
| 553 | C22×D4 | C22×D4 | 1 | 3 | yes | — |
| 554 | C22×D4 | C22×D4 | 1 | 24 | yes | — |
| 555 | C22×D4 | C22×D4 | 1 | 6 | yes | — |
| 556 | C22×D4 | C25 | 1 | 12 | yes | — |
| 557 | C22×D4 | C25 | 1 | 12 | yes | — |
| 558 | C22×D4 | C25 | 1 | 24 | yes | — |
| 559 | C22×D4 | C25 | 1 | 48 | yes | — |
| 560 | C22×D4 | C25 | 1 | 48 | yes | — |
| 561 | C23×C4 | C22×D4 | 1 | 6 | yes | — |
| 562 | C23×C4 | C22×D4 | 1 | 3 | yes | — |
| 563 | C23×C4 | C22×D4 | 1 | 3 | yes | — |
| 564 | C23×C4 | C22×D4 | 1 | 12 | yes | — |
| 565 | C23×C4 | C22×D4 | 1 | 3 | yes | — |
| 566 | C23×C4 | C22×D4 | 1 | 12 | yes | — |
| 567 | C23×C4 | C22×D4 | 1 | 12 | yes | — |
| 568 | C23×C4 | C22×D4 | 1 | 12 | yes | — |
| 569 | C23×C4 | C22×D4 | 1 | 12 | yes | — |
| 570 | C23×C4 | C22×D4 | 1 | 6 | yes | — |
| 571 | C23×C4 | C22×D4 | 1 | 6 | yes | — |
| 572 | C23×C4 | C22×D4 | 1 | 6 | yes | — |
| 573 | C23×C4 | C22×D4 | 1 | 6 | yes | — |
| 574 | C23×C4 | C22×D4 | 1 | 2 | yes | — |
| 575 | C23×C4 | C25 | 1 | 3 | yes | — |
| 576 | C23×C4 | C25 | 1 | 12 | yes | — |
| 577 | C23×C4 | C25 | 1 | 3 | yes | — |
| 578 | C23×C4 | C25 | 1 | 1 | yes | characteristic |
| 579 | C2×Q16 | C25 | 1 | 64 | yes | — |
| 580 | C2×SD16 | C25 | 1 | 192 | yes | — |
| 581 | C2×SD16 | C25 | 1 | 64 | yes | — |
| 582 | C2×D8 | C25 | 1 | 192 | yes | — |
| 583 | C2×M16 | C25 | 1 | 16 | yes | — |
| 584 | C2×M16 | C25 | 1 | 48 | yes | — |
| 585 | C22×C8 | C25 | 1 | 48 | yes | — |
| 586 | C4⋊Q8 | C25 | 1 | 8 | yes | — |
| 587 | C4⋊Q8 | C25 | 1 | 24 | yes | — |
| 588 | C4⋊Q8 | C25 | 1 | 8 | yes | — |
| 589 | C4⋊Q8 | C25 | 1 | 4 | yes | — |
| 590 | C4⋊Q8 | C25 | 1 | 4 | yes | — |
| 591 | C4⋊Q8 | C25 | 1 | 4 | yes | — |
| 592 | C4⋊Q8 | C25 | 1 | 12 | yes | — |
| 593 | #127 | C25 | 1 | 24 | yes | — |
| 594 | #127 | C25 | 1 | 12 | yes | — |
| 595 | #127 | C25 | 1 | 12 | yes | — |
| 596 | #127 | C25 | 1 | 48 | yes | — |
| 597 | #127 | C25 | 1 | 48 | yes | — |
| 598 | #127 | C25 | 1 | 4 | yes | — |
| 599 | #127 | C25 | 1 | 12 | yes | — |
| 600 | #125 | C25 | 1 | 8 | yes | — |
| 601 | #125 | C25 | 1 | 24 | yes | — |
| 602 | #124 | C25 | 1 | 48 | yes | — |
| 603 | #124 | C25 | 1 | 48 | yes | — |
| 604 | #124 | C25 | 1 | 8 | yes | — |
| 605 | #124 | C25 | 1 | 24 | yes | — |
| 606 | C22⋊Q8 | C25 | 1 | 16 | yes | — |
| 607 | C22⋊Q8 | C25 | 1 | 48 | yes | — |
| 608 | #121 | C25 | 1 | 16 | yes | — |
| 609 | #121 | C25 | 1 | 48 | yes | — |
| 610 | C4×Q8 | C22×D4 | 1 | 24 | yes | — |
| 611 | C4×Q8 | C22×D4 | 1 | 24 | yes | — |
| 612 | C4×Q8 | C22×D4 | 1 | 24 | yes | — |
| 613 | C4×Q8 | C22×D4 | 1 | 24 | yes | — |
| 614 | C4×Q8 | C22×D4 | 1 | 8 | yes | — |
| 615 | C4×Q8 | C22×D4 | 1 | 8 | yes | — |
| 616 | C4×Q8 | C22×D4 | 1 | 8 | yes | — |
| 617 | C4×Q8 | C22×D4 | 1 | 8 | yes | — |
| 618 | C4×Q8 | C25 | 1 | 16 | yes | — |
| 619 | C4×Q8 | C25 | 1 | 48 | yes | — |
| 620 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 621 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 622 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 623 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 624 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 625 | C4×D4 | C22×D4 | 1 | 48 | yes | — |
| 626 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 627 | C4×D4 | C22×D4 | 1 | 48 | yes | — |
| 628 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 629 | C4×D4 | C22×D4 | 1 | 48 | yes | — |
| 630 | C4×D4 | C22×D4 | 1 | 24 | yes | — |
| 631 | C4×D4 | C22×D4 | 1 | 48 | yes | — |
| 632 | C4×D4 | C25 | 1 | 16 | yes | — |
| 633 | C4×D4 | C25 | 1 | 48 | yes | — |
| 634 | #117 | C22×D4 | 1 | 12 | yes | — |
| 635 | #117 | C22×D4 | 1 | 12 | yes | — |
| 636 | #117 | C22×D4 | 1 | 24 | yes | — |
| 637 | #117 | C22×D4 | 1 | 24 | yes | — |
| 638 | #117 | C22×D4 | 1 | 24 | yes | — |
| 639 | #117 | C22×D4 | 1 | 48 | yes | — |
| 640 | #117 | C25 | 1 | 12 | yes | — |
| 641 | #117 | C25 | 1 | 12 | yes | — |
| 642 | #117 | C25 | 1 | 24 | yes | — |
| 643 | #117 | C25 | 1 | 8 | yes | — |
| 644 | #117 | C25 | 1 | 24 | yes | — |
| 645 | C2×C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 646 | C2×C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 647 | C2×C4⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 648 | C2×C4⋊C4 | C22×D4 | 1 | 24 | yes | — |
| 649 | C2×C4⋊C4 | C22×D4 | 1 | 24 | yes | — |
| 650 | C2×C4⋊C4 | C25 | 1 | 24 | yes | — |
| 651 | C2×C22⋊C4 | C22×D4 | 1 | 12 | yes | — |
| 652 | C2×C22⋊C4 | C22×D4 | 1 | 48 | yes | — |
| 653 | C2×C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 654 | C2×C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 655 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 656 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 657 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 658 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 659 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 660 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 661 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 662 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 663 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 664 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 665 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 666 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 667 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 668 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 669 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 670 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 671 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 672 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 673 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 674 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 675 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 676 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 677 | C2×C42 | C22×D4 | 1 | 12 | yes | — |
| 678 | C2×C42 | C22×D4 | 1 | 6 | yes | — |
| 679 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 680 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 681 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 682 | C2×C42 | C25 | 1 | 3 | yes | — |
| 683 | C2×C42 | C25 | 1 | 12 | yes | — |
| 684 | C2×C42 | C25 | 1 | 3 | yes | — |
| 685 | C2×C42 | C25 | 1 | 12 | yes | — |
| 686 | C2×C42 | C25 | 1 | 1 | yes | characteristic |
| 687 | C2×C42 | C25 | 1 | 6 | yes | — |
| 688 | C2×C42 | C25 | 1 | 6 | yes | — |
| 689 | C2×C42 | C25 | 1 | 12 | yes | — |
| 690 | C2×C42 | C25 | 1 | 6 | yes | — |
| 691 | C2×C42 | C25 | 1 | 6 | yes | — |
| 692 | C2×C42 | C25 | 1 | 2 | yes | — |
| 693 | C2×C42 | C25 | 1 | 1 | yes | characteristic |
| 694 | C2×C42 | C25 | 1 | 2 | yes | — |
| 695 | C4⋊C8 | C25 | 1 | 32 | yes | — |
| 696 | C4⋊C8 | C25 | 1 | 96 | yes | — |
| 697 | #103 | C25 | 1 | 128 | yes | — |
| 698 | #102 | C25 | 1 | 384 | yes | — |
| 699 | C22⋊C8 | C25 | 1 | 32 | yes | — |
| 700 | C22⋊C8 | C25 | 1 | 96 | yes | — |
| 701 | #97 | C25 | 1 | 16 | yes | — |
| 702 | #97 | C25 | 1 | 48 | yes | — |
| 703 | C4×C8 | C25 | 1 | 16 | yes | — |
| 704 | C4×C8 | C25 | 1 | 48 | yes | — |
| 705 | C24 | C23×D4 | 1 | 12 | yes | — |
| 706 | C24 | C23×D4 | 1 | 3 | yes | — |
| 707 | C24 | C23×D4 | 1 | 1 | yes | characteristic |
| 708 | C24 | C23×D4 | 1 | 3 | yes | — |
| 709 | #41 | #535 | 1 | 32 | yes | — |
| 710 | #41 | C2×H(5,𝔽2) | 1 | 32 | yes | — |
| 711 | C2×Q8 | #535 | 1 | 8 | yes | — |
| 712 | C2×Q8 | C23×D4 | 1 | 12 | yes | — |
| 713 | C2×Q8 | C23×D4 | 1 | 4 | yes | — |
| 714 | C2×Q8 | C26 | 1 | 8 | yes | — |
| 715 | C2×Q8 | C26 | 1 | 8 | yes | — |
| 716 | C2×D4 | #535 | 1 | 24 | yes | — |
| 717 | C2×D4 | C23×D4 | 1 | 12 | yes | — |
| 718 | C2×D4 | C23×D4 | 1 | 12 | yes | — |
| 719 | C2×D4 | C23×D4 | 1 | 24 | yes | — |
| 720 | C2×D4 | C26 | 1 | 24 | yes | — |
| 721 | C2×D4 | C26 | 1 | 8 | yes | — |
| 722 | C22×C4 | C23×D4 | 1 | 2 | yes | — |
| 723 | C22×C4 | C23×D4 | 1 | 3 | yes | — |
| 724 | C22×C4 | C23×D4 | 1 | 6 | yes | — |
| 725 | C22×C4 | C23×D4 | 1 | 2 | yes | — |
| 726 | C22×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 727 | C22×C4 | C23×D4 | 1 | 2 | yes | — |
| 728 | C22×C4 | C23×D4 | 1 | 2 | yes | — |
| 729 | C22×C4 | C23×D4 | 1 | 2 | yes | — |
| 730 | C22×C4 | C23×D4 | 1 | 2 | yes | — |
| 731 | C22×C4 | C23×D4 | 1 | 2 | yes | — |
| 732 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 733 | C22×C4 | C23×D4 | 1 | 3 | yes | — |
| 734 | C22×C4 | C23×D4 | 1 | 6 | yes | — |
| 735 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 736 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 737 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 738 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 739 | C22×C4 | C23×D4 | 1 | 6 | yes | — |
| 740 | C22×C4 | C23×D4 | 1 | 6 | yes | — |
| 741 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 742 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 743 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 744 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 745 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 746 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 747 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 748 | C22×C4 | C23×D4 | 1 | 12 | yes | — |
| 749 | C22×C4 | C2×H(5,𝔽2) | 1 | 24 | yes | — |
| 750 | C22×C4 | C26 | 1 | 1 | yes | characteristic |
| 751 | C22×C4 | C26 | 1 | 6 | yes | — |
| 752 | C22×C4 | C26 | 1 | 2 | yes | — |
| 753 | C22×C4 | C26 | 1 | 6 | yes | — |
| 754 | C2×C8 | C26 | 1 | 32 | yes | — |
| 755 | C4⋊C4 | C23×D4 | 1 | 24 | yes | — |
| 756 | C4⋊C4 | C23×D4 | 1 | 24 | yes | — |
| 757 | C4⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 758 | C4⋊C4 | C26 | 1 | 16 | yes | — |
| 759 | C22⋊C4 | C23×D4 | 1 | 48 | yes | — |
| 760 | C22⋊C4 | C23×D4 | 1 | 24 | yes | — |
| 761 | C22⋊C4 | C23×D4 | 1 | 24 | yes | — |
| 762 | C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 763 | C42 | C23×D4 | 1 | 2 | yes | — |
| 764 | C42 | C23×D4 | 1 | 2 | yes | — |
| 765 | C42 | C23×D4 | 1 | 2 | yes | — |
| 766 | C42 | C23×D4 | 1 | 2 | yes | — |
| 767 | C42 | C23×D4 | 1 | 1 | yes | characteristic |
| 768 | C42 | C23×D4 | 1 | 2 | yes | — |
| 769 | C42 | C23×D4 | 1 | 6 | yes | — |
| 770 | C42 | C23×D4 | 1 | 6 | yes | — |
| 771 | C42 | C23×D4 | 1 | 12 | yes | — |
| 772 | C42 | C23×D4 | 1 | 12 | yes | — |
| 773 | C42 | C23×D4 | 1 | 12 | yes | — |
| 774 | C42 | C23×D4 | 1 | 12 | yes | — |
| 775 | C42 | C23×D4 | 1 | 12 | yes | — |
| 776 | C42 | C23×D4 | 1 | 12 | yes | — |
| 777 | C42 | C23×D4 | 1 | 12 | yes | — |
| 778 | C42 | C23×D4 | 1 | 12 | yes | — |
| 779 | C42 | C23×D4 | 1 | 12 | yes | — |
| 780 | C42 | C23×D4 | 1 | 12 | yes | — |
| 781 | C42 | C26 | 1 | 1 | yes | characteristic |
| 782 | C42 | C26 | 1 | 6 | yes | — |
| 783 | C42 | C26 | 1 | 1 | yes | characteristic |
| 784 | C42 | C26 | 1 | 2 | yes | — |
| 785 | C42 | C26 | 1 | 6 | yes | — |
| 786 | C23 | C2×#535 | 1 | 12 | yes | — |
| 787 | C23 | C24×D4 | 1 | 2 | yes | — |
| 788 | C23 | C24×D4 | 1 | 6 | yes | — |
| 789 | C23 | C24×D4 | 1 | 6 | yes | — |
| 790 | C23 | C24×D4 | 1 | 1 | yes | characteristic |
| 791 | Q8 | C2×#535 | 1 | 16 | yes | — |
| 792 | D4 | C2×#535 | 1 | 48 | yes | — |
| 793 | C2×C4 | C2×#535 | 1 | 12 | yes | — |
| 794 | C2×C4 | C2×#535 | 1 | 24 | yes | — |
| 795 | C2×C4 | #3585 | 1 | 8 | yes | complemented |
| 796 | C2×C4 | C24×D4 | 1 | 2 | yes | — |
| 797 | C2×C4 | C24×D4 | 1 | 2 | yes | — |
| 798 | C2×C4 | C24×D4 | 1 | 1 | yes | characteristic |
| 799 | C2×C4 | C24×D4 | 1 | 6 | yes | — |
| 800 | C2×C4 | C24×D4 | 1 | 2 | yes | — |
| 801 | C2×C4 | C24×D4 | 1 | 2 | yes | — |
| 802 | C2×C4 | C24×D4 | 1 | 2 | yes | — |
| 803 | C2×C4 | C24×D4 | 1 | 6 | yes | — |
| 804 | C2×C4 | C24×D4 | 1 | 12 | yes | — |
| 805 | C2×C4 | C24×D4 | 1 | 12 | yes | — |
| 806 | C2×C4 | C22×H(5,𝔽2) | 1 | 4 | yes | — |
| 807 | C2×C4 | C22×H(5,𝔽2) | 1 | 24 | yes | — |
| 808 | C2×C4 | C27 | 1 | 1 | yes | characteristic |
| 809 | C22 | C22×#535 | 1 | 2 | yes | — |
| 810 | C22 | C22×#535 | 1 | 12 | yes | — |
| 811 | C22 | C2×#3585 | 1 | 4 | yes | — |
| 812 | C22 | C25×D4 | 1 | 1 | yes | characteristic |
| 813 | C4 | C22×#535 | 1 | 2 | yes | — |
| 814 | C4 | C22×#535 | 1 | 12 | yes | — |
| 815 | C4 | C2×#3585 | 1 | 4 | yes | — |
| 816 | C4 | C2×#3585 | 1 | 4 | yes | — |
| 817 | C4 | C23×H(5,𝔽2) | 1 | 2 | yes | — |
| 818 | C2 | C23×#535 | 1 | 1 | yes | characteristic |
| 819 | C2 | C22×#3585 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta