Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
7756 conjugacy classes of subgroups.
The subgroup lattice has 1146 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#3500 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #62800 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #60834 | C2 | 1 | 12 | yes | maximal, complemented |
| 4 | #60829 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #60825 | C2 | 1 | 6 | yes | maximal, complemented |
| 6 | #60813 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #60811 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | #60803 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #60799 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #60790 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | C2×#3213 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #60650 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #60625 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #60430 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #60374 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #60372 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #60128 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | C22×2−1+4 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#577 | C22 | 1 | 4 | yes | complemented |
| 21 | C2×#576 | C22 | 1 | 4 | yes | complemented |
| 22 | #3522 | — | 2 | 1 | no | — |
| 23 | #3519 | — | 2 | 3 | no | — |
| 24 | #3517 | — | 2 | 1 | no | — |
| 25 | #3514 | — | 2 | 3 | no | — |
| 26 | #3511 | C22 | 1 | 3 | yes | complemented |
| 27 | #3508 | C22 | 1 | 3 | yes | complemented |
| 28 | #3503 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #3500 | — | 2 | 3 | no | — |
| 30 | #3500 | — | 2 | 1 | no | — |
| 31 | #3500 | — | 2 | 3 | no | — |
| 32 | #3500 | — | 2 | 1 | no | — |
| 33 | #3500 | C22 | 1 | 2 | yes | — |
| 34 | #3500 | C22 | 1 | 2 | yes | — |
| 35 | #3500 | C22 | 1 | 6 | yes | complemented |
| 36 | #3500 | C22 | 1 | 6 | yes | complemented |
| 37 | #3498 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | #3494 | C22 | 1 | 6 | yes | complemented |
| 39 | #3488 | C22 | 1 | 2 | yes | — |
| 40 | #3483 | — | 2 | 1 | no | — |
| 41 | #3481 | — | 2 | 3 | no | — |
| 42 | #3480 | — | 2 | 1 | no | — |
| 43 | D4×#41 | — | 2 | 3 | no | — |
| 44 | C2×#548 | — | 2 | 1 | no | — |
| 45 | C2×#548 | — | 2 | 1 | no | — |
| 46 | C2×#546 | — | 2 | 3 | no | — |
| 47 | C2×#546 | — | 2 | 3 | no | — |
| 48 | #3460 | C22 | 1 | 6 | yes | complemented |
| 49 | C2×#536 | C22 | 1 | 3 | yes | complemented |
| 50 | C2×#535 | C22 | 1 | 3 | yes | complemented |
| 51 | #3444 | C22 | 1 | 3 | yes | complemented |
| 52 | C2×#532 | C22 | 1 | 3 | yes | complemented |
| 53 | C2×#532 | C22 | 1 | 3 | yes | complemented |
| 54 | C22×#124 | C22 | 1 | 3 | yes | complemented |
| 55 | C4×H(5,𝔽2) | C22 | 1 | 2 | yes | complemented |
| 56 | C2×C4×#41 | C22 | 1 | 1 | yes | characteristic |
| 57 | #3225 | C22 | 1 | 24 | yes | complemented |
| 58 | #3224 | C22 | 1 | 24 | yes | complemented |
| 59 | #3221 | C22 | 1 | 24 | yes | complemented |
| 60 | #3220 | C22 | 1 | 24 | yes | complemented |
| 61 | #3219 | C22 | 1 | 12 | yes | complemented |
| 62 | #3218 | C22 | 1 | 6 | yes | complemented |
| 63 | #3217 | C22 | 1 | 6 | yes | complemented |
| 64 | #3216 | C22 | 1 | 6 | yes | complemented |
| 65 | #3215 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #3215 | C22 | 1 | 3 | yes | complemented |
| 67 | #3215 | C22 | 1 | 6 | yes | complemented |
| 68 | #3214 | C22 | 1 | 6 | yes | complemented |
| 69 | #3214 | C22 | 1 | 12 | yes | complemented |
| 70 | #3213 | C22 | 1 | 3 | yes | complemented |
| 71 | #3213 | C22 | 1 | 6 | yes | complemented |
| 72 | #3213 | C22 | 1 | 12 | yes | complemented |
| 73 | #3213 | C22 | 1 | 3 | yes | complemented |
| 74 | #3213 | C22 | 1 | 12 | yes | complemented |
| 75 | #3213 | C22 | 1 | 12 | yes | complemented |
| 76 | #3213 | C22 | 1 | 6 | yes | complemented |
| 77 | #3211 | C22 | 1 | 12 | yes | complemented |
| 78 | #3211 | C22 | 1 | 12 | yes | complemented |
| 79 | #3207 | C22 | 1 | 12 | yes | complemented |
| 80 | #3206 | C22 | 1 | 6 | yes | complemented |
| 81 | #3205 | C22 | 1 | 6 | yes | complemented |
| 82 | #3155 | C22 | 1 | 12 | yes | complemented |
| 83 | #3154 | C22 | 1 | 12 | yes | complemented |
| 84 | #3153 | C22 | 1 | 6 | yes | complemented |
| 85 | #3151 | C22 | 1 | 6 | yes | complemented |
| 86 | #3150 | C22 | 1 | 6 | yes | complemented |
| 87 | C2×#496 | C22 | 1 | 6 | yes | complemented |
| 88 | #3141 | C22 | 1 | 6 | yes | complemented |
| 89 | #3140 | C22 | 1 | 6 | yes | complemented |
| 90 | #3137 | C22 | 1 | 12 | yes | complemented |
| 91 | #3136 | C22 | 1 | 12 | yes | complemented |
| 92 | #3135 | C22 | 1 | 6 | yes | complemented |
| 93 | C2×#489 | C22 | 1 | 6 | yes | complemented |
| 94 | #3046 | C22 | 1 | 12 | yes | complemented |
| 95 | #3045 | C22 | 1 | 12 | yes | complemented |
| 96 | #3042 | C22 | 1 | 12 | yes | complemented |
| 97 | #3041 | C22 | 1 | 12 | yes | complemented |
| 98 | #3040 | C22 | 1 | 12 | yes | complemented |
| 99 | #3036 | C22 | 1 | 12 | yes | complemented |
| 100 | #3035 | C22 | 1 | 12 | yes | complemented |
| 101 | C2×#463 | C22 | 1 | 12 | yes | complemented |
| 102 | #3013 | C22 | 1 | 12 | yes | complemented |
| 103 | #3012 | C22 | 1 | 12 | yes | complemented |
| 104 | #3010 | C22 | 1 | 12 | yes | complemented |
| 105 | #3008 | C22 | 1 | 12 | yes | complemented |
| 106 | #3006 | C22 | 1 | 6 | yes | complemented |
| 107 | #3006 | C22 | 1 | 6 | yes | complemented |
| 108 | #3004 | C22 | 1 | 6 | yes | complemented |
| 109 | #3003 | C22 | 1 | 6 | yes | complemented |
| 110 | #3002 | C22 | 1 | 6 | yes | complemented |
| 111 | #3002 | C22 | 1 | 6 | yes | complemented |
| 112 | C2×#448 | C22 | 1 | 6 | yes | complemented |
| 113 | C2×#447 | C22 | 1 | 6 | yes | complemented |
| 114 | #2925 | C22 | 1 | 6 | yes | complemented |
| 115 | #2924 | C22 | 1 | 6 | yes | complemented |
| 116 | #2923 | C22 | 1 | 6 | yes | complemented |
| 117 | #2920 | C22 | 1 | 3 | yes | complemented |
| 118 | C2×#432 | C22 | 1 | 3 | yes | complemented |
| 119 | #2906 | C22 | 1 | 2 | yes | complemented |
| 120 | #2898 | C22 | 1 | 4 | yes | complemented |
| 121 | #2897 | C22 | 1 | 4 | yes | complemented |
| 122 | #2880 | C22 | 1 | 2 | yes | — |
| 123 | #2875 | C22 | 1 | 2 | yes | complemented |
| 124 | C2×2−1+4 | — | 2 | 3 | no | — |
| 125 | C2×2−1+4 | — | 2 | 1 | no | — |
| 126 | C2×2−1+4 | — | 4 | 8 | no | — |
| 127 | C2×2−1+4 | C23 | 1 | 2 | yes | — |
| 128 | C2×2−1+4 | C23 | 1 | 6 | yes | — |
| 129 | C2×H(5,𝔽2) | — | 2 | 3 | no | — |
| 130 | C2×H(5,𝔽2) | — | 2 | 1 | no | — |
| 131 | C2×H(5,𝔽2) | — | 4 | 8 | no | — |
| 132 | C2×H(5,𝔽2) | C23 | 1 | 2 | yes | — |
| 133 | C2×H(5,𝔽2) | C23 | 1 | 2 | yes | — |
| 134 | C2×H(5,𝔽2) | C23 | 1 | 6 | yes | — |
| 135 | C22×#41 | — | 2 | 1 | no | — |
| 136 | C22×#41 | — | 2 | 3 | no | — |
| 137 | C22×#41 | — | 2 | 3 | no | — |
| 138 | C22×#41 | C23 | 1 | 3 | yes | — |
| 139 | C22×#41 | C23 | 1 | 3 | yes | — |
| 140 | C22×#41 | C23 | 1 | 1 | yes | characteristic |
| 141 | C23×Q8 | — | 2 | 1 | no | — |
| 142 | C23×Q8 | C23 | 1 | 3 | yes | — |
| 143 | C23×D4 | — | 2 | 3 | no | — |
| 144 | C23×D4 | C23 | 1 | 3 | yes | — |
| 145 | #577 | — | 4 | 16 | no | — |
| 146 | #576 | — | 4 | 16 | no | — |
| 147 | C2×#137 | C23 | 1 | 12 | yes | complemented |
| 148 | C2×AGL(1,ℤ/8) | C23 | 1 | 12 | yes | — |
| 149 | C2×AGL(1,ℤ/8) | C23 | 1 | 12 | yes | — |
| 150 | C2×AGL(1,ℤ/8) | C23 | 1 | 12 | yes | complemented |
| 151 | C2×#135 | C23 | 1 | 12 | yes | — |
| 152 | C2×#135 | C23 | 1 | 12 | yes | complemented |
| 153 | C22×SD16 | C23 | 1 | 12 | yes | complemented |
| 154 | C22×D8 | C23 | 1 | 12 | yes | — |
| 155 | C2×#131 | C23 | 1 | 4 | yes | — |
| 156 | #559 | — | 2 | 3 | no | — |
| 157 | #559 | — | 2 | 3 | no | — |
| 158 | Q82 | — | 2 | 1 | no | — |
| 159 | #557 | — | 2 | 1 | no | — |
| 160 | #556 | — | 2 | 3 | no | — |
| 161 | #555 | — | 2 | 3 | no | — |
| 162 | #555 | — | 2 | 6 | no | — |
| 163 | #554 | — | 2 | 3 | no | — |
| 164 | #554 | — | 2 | 3 | no | — |
| 165 | #553 | — | 2 | 6 | no | — |
| 166 | #553 | — | 2 | 6 | no | — |
| 167 | #553 | — | 2 | 6 | no | — |
| 168 | #551 | — | 2 | 12 | no | — |
| 169 | #550 | — | 2 | 2 | no | — |
| 170 | #550 | — | 2 | 1 | no | — |
| 171 | #550 | — | 2 | 1 | no | — |
| 172 | #550 | — | 2 | 3 | no | — |
| 173 | #550 | — | 2 | 3 | no | — |
| 174 | D4×Q8 | — | 2 | 3 | no | — |
| 175 | #548 | — | 2 | 2 | no | — |
| 176 | #548 | — | 2 | 2 | no | — |
| 177 | #548 | — | 2 | 2 | no | — |
| 178 | #548 | — | 2 | 2 | no | — |
| 179 | #548 | — | 2 | 2 | no | — |
| 180 | #548 | — | 2 | 6 | no | — |
| 181 | #548 | — | 2 | 6 | no | — |
| 182 | #548 | — | 2 | 6 | no | — |
| 183 | #548 | — | 2 | 6 | no | — |
| 184 | #548 | — | 2 | 6 | no | — |
| 185 | #547 | — | 2 | 3 | no | — |
| 186 | #547 | — | 2 | 6 | no | — |
| 187 | #546 | — | 2 | 6 | no | — |
| 188 | #546 | — | 2 | 6 | no | — |
| 189 | #546 | — | 2 | 6 | no | — |
| 190 | #546 | — | 2 | 6 | no | — |
| 191 | #546 | — | 2 | 6 | no | — |
| 192 | #546 | — | 2 | 12 | no | — |
| 193 | #546 | — | 2 | 6 | no | — |
| 194 | #546 | — | 2 | 12 | no | — |
| 195 | #546 | — | 2 | 6 | no | — |
| 196 | #546 | — | 2 | 12 | no | — |
| 197 | #546 | — | 2 | 12 | no | — |
| 198 | #546 | — | 2 | 6 | no | — |
| 199 | #546 | — | 2 | 6 | no | — |
| 200 | #546 | — | 2 | 6 | no | — |
| 201 | #546 | — | 2 | 6 | no | — |
| 202 | #546 | — | 2 | 12 | no | — |
| 203 | D42 | — | 2 | 6 | no | — |
| 204 | D42 | — | 2 | 3 | no | — |
| 205 | D42 | — | 2 | 3 | no | — |
| 206 | #544 | C23 | 1 | 6 | yes | complemented |
| 207 | #542 | — | 2 | 6 | no | — |
| 208 | #542 | C23 | 1 | 12 | yes | complemented |
| 209 | #540 | — | 2 | 6 | no | — |
| 210 | #540 | C23 | 1 | 12 | yes | complemented |
| 211 | #538 | — | 2 | 12 | no | — |
| 212 | #537 | C23 | 1 | 6 | yes | — |
| 213 | #536 | — | 2 | 6 | no | — |
| 214 | #536 | — | 2 | 3 | no | — |
| 215 | #536 | — | 2 | 3 | no | — |
| 216 | #536 | C23 | 1 | 6 | yes | — |
| 217 | #536 | C23 | 1 | 12 | yes | — |
| 218 | #536 | C23 | 1 | 6 | yes | — |
| 219 | #535 | — | 2 | 6 | no | — |
| 220 | #535 | — | 2 | 3 | no | — |
| 221 | #535 | — | 2 | 3 | no | — |
| 222 | #535 | C23 | 1 | 6 | yes | — |
| 223 | #535 | C23 | 1 | 12 | yes | — |
| 224 | #535 | C23 | 1 | 6 | yes | — |
| 225 | #535 | C23 | 1 | 6 | yes | — |
| 226 | #535 | C23 | 1 | 6 | yes | complemented |
| 227 | #533 | C23 | 1 | 1 | yes | characteristic |
| 228 | #533 | C23 | 1 | 3 | yes | complemented |
| 229 | #533 | C23 | 1 | 3 | yes | complemented |
| 230 | #532 | — | 2 | 6 | no | — |
| 231 | #532 | — | 2 | 3 | no | — |
| 232 | #532 | — | 2 | 3 | no | — |
| 233 | #532 | — | 2 | 3 | no | — |
| 234 | #532 | — | 2 | 3 | no | — |
| 235 | #532 | — | 2 | 3 | no | — |
| 236 | #532 | — | 2 | 3 | no | — |
| 237 | #532 | — | 2 | 3 | no | — |
| 238 | #532 | — | 2 | 3 | no | — |
| 239 | #532 | C23 | 1 | 6 | yes | — |
| 240 | #532 | C23 | 1 | 6 | yes | — |
| 241 | #532 | C23 | 1 | 6 | yes | — |
| 242 | #532 | C23 | 1 | 6 | yes | — |
| 243 | #532 | C23 | 1 | 3 | yes | — |
| 244 | #532 | C23 | 1 | 6 | yes | — |
| 245 | #532 | C23 | 1 | 3 | yes | complemented |
| 246 | #532 | C23 | 1 | 6 | yes | complemented |
| 247 | #532 | C23 | 1 | 6 | yes | complemented |
| 248 | #532 | C23 | 1 | 3 | yes | complemented |
| 249 | C2×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 250 | C2×C4⋊Q8 | C23 | 1 | 3 | yes | complemented |
| 251 | C2×#127 | C23 | 1 | 3 | yes | — |
| 252 | C2×#127 | C23 | 1 | 3 | yes | complemented |
| 253 | #529 | — | 2 | 6 | no | — |
| 254 | #529 | — | 2 | 3 | no | — |
| 255 | #529 | — | 2 | 3 | no | — |
| 256 | #529 | — | 2 | 3 | no | — |
| 257 | #529 | — | 2 | 3 | no | — |
| 258 | #529 | C23 | 1 | 6 | yes | — |
| 259 | #529 | C23 | 1 | 6 | yes | complemented |
| 260 | C2×#124 | — | 2 | 3 | no | — |
| 261 | C2×#124 | — | 2 | 3 | no | — |
| 262 | C2×#124 | — | 2 | 3 | no | — |
| 263 | C2×#124 | — | 2 | 3 | no | — |
| 264 | C2×#124 | — | 2 | 3 | no | — |
| 265 | C2×#124 | — | 2 | 3 | no | — |
| 266 | C2×#124 | — | 2 | 3 | no | — |
| 267 | C2×#124 | C23 | 1 | 6 | yes | — |
| 268 | C2×#124 | C23 | 1 | 3 | yes | — |
| 269 | C2×#124 | C23 | 1 | 6 | yes | — |
| 270 | C2×#124 | C23 | 1 | 6 | yes | — |
| 271 | C2×#124 | C23 | 1 | 6 | yes | — |
| 272 | C2×#124 | C23 | 1 | 6 | yes | — |
| 273 | C2×#124 | C23 | 1 | 1 | yes | characteristic |
| 274 | #525 | — | 2 | 3 | no | — |
| 275 | #525 | — | 2 | 3 | no | — |
| 276 | #525 | — | 2 | 12 | no | — |
| 277 | #525 | C23 | 1 | 6 | yes | — |
| 278 | C2×#123 | — | 2 | 6 | no | — |
| 279 | C2×C22⋊Q8 | — | 2 | 3 | no | — |
| 280 | C2×C22⋊Q8 | — | 2 | 3 | no | — |
| 281 | C2×#121 | — | 2 | 3 | no | — |
| 282 | C2×#121 | — | 2 | 3 | no | — |
| 283 | C2×#121 | — | 2 | 3 | no | — |
| 284 | C2×#121 | — | 2 | 3 | no | — |
| 285 | C2×#121 | — | 2 | 3 | no | — |
| 286 | C2×#121 | C23 | 1 | 6 | yes | — |
| 287 | C2×#120 | — | 2 | 6 | no | — |
| 288 | #520 | — | 2 | 2 | no | — |
| 289 | #520 | C23 | 1 | 2 | yes | — |
| 290 | #520 | C23 | 1 | 6 | yes | complemented |
| 291 | #518 | — | 2 | 6 | no | — |
| 292 | #518 | C23 | 1 | 6 | yes | complemented |
| 293 | C4×#41 | — | 2 | 2 | no | — |
| 294 | C4×#41 | — | 2 | 3 | no | — |
| 295 | C4×#41 | — | 2 | 3 | no | — |
| 296 | C4×#41 | D4 | 1 | 3 | yes | — |
| 297 | C4×#41 | D4 | 1 | 1 | yes | characteristic |
| 298 | C4×#41 | D4 | 1 | 3 | yes | — |
| 299 | C4×#41 | D4 | 1 | 1 | yes | characteristic |
| 300 | C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 301 | C4×#41 | C23 | 1 | 1 | yes | characteristic |
| 302 | C4×#41 | C23 | 1 | 3 | yes | — |
| 303 | C4×#41 | C23 | 1 | 3 | yes | — |
| 304 | C4×#41 | C23 | 1 | 6 | yes | complemented |
| 305 | C2×C4×Q8 | D4 | 1 | 1 | yes | characteristic |
| 306 | C2×C4×Q8 | D4 | 1 | 1 | yes | characteristic |
| 307 | C2×C4×D4 | — | 2 | 6 | no | — |
| 308 | C2×C4×D4 | — | 2 | 3 | no | — |
| 309 | C2×C4×D4 | — | 2 | 3 | no | — |
| 310 | C2×C4×D4 | — | 2 | 3 | no | — |
| 311 | C2×C4×D4 | D4 | 1 | 3 | yes | — |
| 312 | C2×C4×D4 | D4 | 1 | 3 | yes | — |
| 313 | C2×C4×D4 | C23 | 1 | 6 | yes | complemented |
| 314 | C2×#117 | C23 | 1 | 3 | yes | — |
| 315 | C22×C22⋊C4 | — | 2 | 3 | no | — |
| 316 | C22×C22⋊C4 | — | 2 | 3 | no | — |
| 317 | C22×C42 | C23 | 1 | 3 | yes | — |
| 318 | #497 | C23 | 1 | 2 | yes | complemented |
| 319 | #497 | C23 | 1 | 6 | yes | complemented |
| 320 | #497 | C23 | 1 | 12 | yes | complemented |
| 321 | #496 | C23 | 1 | 6 | yes | complemented |
| 322 | #496 | C23 | 1 | 12 | yes | complemented |
| 323 | #496 | C23 | 1 | 24 | yes | complemented |
| 324 | #496 | C23 | 1 | 6 | yes | complemented |
| 325 | #496 | C23 | 1 | 12 | yes | complemented |
| 326 | #495 | C23 | 1 | 24 | yes | complemented |
| 327 | #493 | C23 | 1 | 12 | yes | complemented |
| 328 | #492 | C23 | 1 | 12 | yes | complemented |
| 329 | #491 | C23 | 1 | 12 | yes | complemented |
| 330 | #490 | C23 | 1 | 12 | yes | complemented |
| 331 | #489 | C23 | 1 | 6 | yes | complemented |
| 332 | #489 | C23 | 1 | 24 | yes | complemented |
| 333 | #489 | C23 | 1 | 12 | yes | complemented |
| 334 | #489 | C23 | 1 | 2 | yes | complemented |
| 335 | #489 | C23 | 1 | 6 | yes | complemented |
| 336 | #489 | C23 | 1 | 6 | yes | complemented |
| 337 | #488 | C23 | 1 | 24 | yes | complemented |
| 338 | #487 | C23 | 1 | 12 | yes | complemented |
| 339 | #486 | C23 | 1 | 12 | yes | complemented |
| 340 | #464 | C23 | 1 | 12 | yes | complemented |
| 341 | #464 | C23 | 1 | 24 | yes | complemented |
| 342 | #464 | C23 | 1 | 4 | yes | complemented |
| 343 | #463 | C23 | 1 | 12 | yes | complemented |
| 344 | #463 | C23 | 1 | 24 | yes | complemented |
| 345 | #463 | C23 | 1 | 24 | yes | complemented |
| 346 | #463 | C23 | 1 | 12 | yes | complemented |
| 347 | #463 | C23 | 1 | 24 | yes | complemented |
| 348 | #463 | C23 | 1 | 24 | yes | complemented |
| 349 | #462 | C23 | 1 | 12 | yes | complemented |
| 350 | #461 | C23 | 1 | 24 | yes | complemented |
| 351 | #461 | C23 | 1 | 12 | yes | complemented |
| 352 | #460 | C23 | 1 | 12 | yes | complemented |
| 353 | #459 | C23 | 1 | 24 | yes | complemented |
| 354 | #459 | C23 | 1 | 12 | yes | complemented |
| 355 | #452 | C23 | 1 | 12 | yes | — |
| 356 | #452 | C23 | 1 | 12 | yes | complemented |
| 357 | #451 | C23 | 1 | 6 | yes | — |
| 358 | #451 | C23 | 1 | 2 | yes | — |
| 359 | #451 | C23 | 1 | 12 | yes | complemented |
| 360 | #450 | C23 | 1 | 6 | yes | — |
| 361 | #450 | C23 | 1 | 12 | yes | — |
| 362 | #450 | C23 | 1 | 2 | yes | — |
| 363 | #449 | C23 | 1 | 24 | yes | — |
| 364 | #449 | C23 | 1 | 12 | yes | — |
| 365 | #449 | C23 | 1 | 24 | yes | complemented |
| 366 | #449 | C23 | 1 | 12 | yes | complemented |
| 367 | #448 | C23 | 1 | 6 | yes | — |
| 368 | #448 | C23 | 1 | 12 | yes | — |
| 369 | #448 | C23 | 1 | 6 | yes | — |
| 370 | #448 | C23 | 1 | 12 | yes | complemented |
| 371 | #448 | C23 | 1 | 24 | yes | complemented |
| 372 | #447 | C23 | 1 | 6 | yes | — |
| 373 | #447 | C23 | 1 | 12 | yes | — |
| 374 | #447 | C23 | 1 | 12 | yes | — |
| 375 | #447 | C23 | 1 | 6 | yes | — |
| 376 | #447 | C23 | 1 | 24 | yes | — |
| 377 | #433 | C23 | 1 | 24 | yes | complemented |
| 378 | #432 | C23 | 1 | 1 | yes | characteristic |
| 379 | #432 | C23 | 1 | 3 | yes | — |
| 380 | #432 | C23 | 1 | 6 | yes | — |
| 381 | #432 | C23 | 1 | 6 | yes | complemented |
| 382 | #432 | C23 | 1 | 6 | yes | complemented |
| 383 | #432 | C23 | 1 | 6 | yes | complemented |
| 384 | #431 | C23 | 1 | 6 | yes | — |
| 385 | #431 | C23 | 1 | 6 | yes | complemented |
| 386 | #424 | C23 | 1 | 12 | yes | complemented |
| 387 | #423 | C23 | 1 | 6 | yes | complemented |
| 388 | C2×C4⋊C8 | C23 | 1 | 6 | yes | complemented |
| 389 | #419 | C23 | 1 | 12 | yes | complemented |
| 390 | #418 | C23 | 1 | 12 | yes | — |
| 391 | #417 | C23 | 1 | 12 | yes | — |
| 392 | #417 | C23 | 1 | 12 | yes | complemented |
| 393 | #416 | C23 | 1 | 12 | yes | — |
| 394 | #416 | C23 | 1 | 12 | yes | complemented |
| 395 | C2×#103 | C23 | 1 | 12 | yes | complemented |
| 396 | C2×#102 | C23 | 1 | 12 | yes | — |
| 397 | #408 | C23 | 1 | 12 | yes | — |
| 398 | #407 | C23 | 1 | 6 | yes | — |
| 399 | C2×C22⋊C8 | C23 | 1 | 6 | yes | — |
| 400 | #405 | C23 | 1 | 12 | yes | complemented |
| 401 | C4×M16 | C23 | 1 | 6 | yes | complemented |
| 402 | C2×#97 | C23 | 1 | 6 | yes | complemented |
| 403 | C25 | — | 2 | 3 | no | — |
| 404 | 2−1+4 | — | 2 | 16 | no | — |
| 405 | 2−1+4 | — | 4 | 24 | no | — |
| 406 | 2−1+4 | — | 4 | 24 | no | — |
| 407 | 2−1+4 | — | 4 | 8 | no | — |
| 408 | H(5,𝔽2) | — | 2 | 16 | no | — |
| 409 | H(5,𝔽2) | — | 2 | 16 | no | — |
| 410 | H(5,𝔽2) | — | 4 | 24 | no | — |
| 411 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 412 | H(5,𝔽2) | — | 4 | 24 | no | — |
| 413 | C2×#41 | — | 2 | 8 | no | — |
| 414 | C2×#41 | — | 2 | 2 | no | — |
| 415 | C2×#41 | — | 2 | 6 | no | — |
| 416 | C2×#41 | — | 2 | 2 | no | — |
| 417 | C2×#41 | — | 2 | 12 | no | — |
| 418 | C2×#41 | — | 2 | 6 | no | — |
| 419 | C2×#41 | — | 2 | 6 | no | — |
| 420 | C2×#41 | — | 2 | 3 | no | — |
| 421 | C2×#41 | — | 2 | 3 | no | — |
| 422 | C2×#41 | — | 2 | 3 | no | — |
| 423 | C2×#41 | — | 2 | 3 | no | — |
| 424 | C2×#41 | — | 2 | 3 | no | — |
| 425 | C2×#41 | — | 2 | 3 | no | — |
| 426 | C2×#41 | — | 2 | 6 | no | — |
| 427 | C2×#41 | — | 2 | 6 | no | — |
| 428 | C2×#41 | — | 2 | 6 | no | — |
| 429 | C2×#41 | — | 4 | 12 | no | — |
| 430 | C2×#41 | — | 4 | 12 | no | — |
| 431 | C2×#41 | — | 4 | 24 | no | — |
| 432 | C2×#41 | — | 4 | 8 | no | — |
| 433 | C2×#41 | — | 8 | 12 | no | — |
| 434 | C2×#41 | C2×D4 | 1 | 3 | yes | — |
| 435 | C2×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 436 | C2×#41 | C24 | 1 | 6 | yes | — |
| 437 | C2×#41 | C24 | 1 | 6 | yes | — |
| 438 | C2×#41 | C24 | 1 | 6 | yes | — |
| 439 | C2×#41 | C24 | 1 | 6 | yes | — |
| 440 | C2×#41 | C24 | 1 | 6 | yes | — |
| 441 | C2×#41 | C24 | 1 | 3 | yes | — |
| 442 | C2×#41 | C24 | 1 | 1 | yes | characteristic |
| 443 | C22×Q8 | — | 2 | 6 | no | — |
| 444 | C22×Q8 | — | 2 | 2 | no | — |
| 445 | C22×Q8 | — | 2 | 3 | no | — |
| 446 | C22×Q8 | — | 2 | 3 | no | — |
| 447 | C22×Q8 | — | 2 | 3 | no | — |
| 448 | C22×Q8 | — | 2 | 3 | no | — |
| 449 | C22×Q8 | — | 4 | 12 | no | — |
| 450 | C22×Q8 | — | 4 | 8 | no | — |
| 451 | C22×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 452 | C22×Q8 | C24 | 1 | 6 | yes | — |
| 453 | C22×Q8 | C24 | 1 | 3 | yes | — |
| 454 | C22×Q8 | C24 | 1 | 6 | yes | — |
| 455 | C22×Q8 | C24 | 1 | 1 | yes | characteristic |
| 456 | C22×D4 | — | 2 | 3 | no | — |
| 457 | C22×D4 | — | 2 | 3 | no | — |
| 458 | C22×D4 | — | 2 | 6 | no | — |
| 459 | C22×D4 | — | 2 | 6 | no | — |
| 460 | C22×D4 | — | 2 | 12 | no | — |
| 461 | C22×D4 | — | 2 | 6 | no | — |
| 462 | C22×D4 | — | 2 | 6 | no | — |
| 463 | C22×D4 | — | 2 | 3 | no | — |
| 464 | C22×D4 | — | 2 | 3 | no | — |
| 465 | C22×D4 | — | 2 | 3 | no | — |
| 466 | C22×D4 | — | 2 | 3 | no | — |
| 467 | C22×D4 | — | 2 | 3 | no | — |
| 468 | C22×D4 | — | 2 | 3 | no | — |
| 469 | C22×D4 | — | 2 | 3 | no | — |
| 470 | C22×D4 | — | 4 | 12 | no | — |
| 471 | C22×D4 | — | 4 | 24 | no | — |
| 472 | C22×D4 | C2×D4 | 1 | 3 | yes | — |
| 473 | C22×D4 | C24 | 1 | 6 | yes | — |
| 474 | C22×D4 | C24 | 1 | 6 | yes | — |
| 475 | C22×D4 | C24 | 1 | 3 | yes | — |
| 476 | C22×D4 | C24 | 1 | 6 | yes | — |
| 477 | C22×D4 | C24 | 1 | 1 | yes | characteristic |
| 478 | C23×C4 | — | 2 | 3 | no | — |
| 479 | C23×C4 | — | 2 | 3 | no | — |
| 480 | C23×C4 | — | 2 | 3 | no | — |
| 481 | C23×C4 | — | 2 | 6 | no | — |
| 482 | C23×C4 | C2×D4 | 1 | 3 | yes | — |
| 483 | C23×C4 | C2×D4 | 1 | 3 | yes | — |
| 484 | C23×C4 | C24 | 1 | 3 | yes | — |
| 485 | #137 | — | 4 | 24 | no | — |
| 486 | AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 487 | AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 488 | AGL(1,ℤ/8) | — | 4 | 24 | no | — |
| 489 | #135 | — | 4 | 24 | no | — |
| 490 | #135 | — | 4 | 24 | no | — |
| 491 | C2×Q16 | C24 | 1 | 4 | yes | — |
| 492 | C2×Q16 | C24 | 1 | 12 | yes | — |
| 493 | C2×SD16 | — | 4 | 24 | no | — |
| 494 | C2×SD16 | C24 | 1 | 12 | yes | — |
| 495 | C2×SD16 | C24 | 1 | 24 | yes | — |
| 496 | C2×SD16 | C24 | 1 | 12 | yes | — |
| 497 | C2×SD16 | C24 | 1 | 12 | yes | — |
| 498 | C2×SD16 | C24 | 1 | 4 | yes | — |
| 499 | C2×D8 | — | 4 | 24 | no | — |
| 500 | C2×D8 | C24 | 1 | 12 | yes | — |
| 501 | C2×D8 | C24 | 1 | 24 | yes | — |
| 502 | C2×D8 | C24 | 1 | 12 | yes | — |
| 503 | #131 | — | 2 | 16 | no | — |
| 504 | C2×M16 | C24 | 1 | 12 | yes | — |
| 505 | C22×C8 | C24 | 1 | 12 | yes | — |
| 506 | C4⋊Q8 | — | 2 | 6 | no | — |
| 507 | C4⋊Q8 | — | 2 | 3 | no | — |
| 508 | C4⋊Q8 | — | 2 | 3 | no | — |
| 509 | C4⋊Q8 | — | 2 | 3 | no | — |
| 510 | C4⋊Q8 | — | 2 | 3 | no | — |
| 511 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 512 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 513 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 514 | C4⋊Q8 | C24 | 1 | 3 | yes | — |
| 515 | C4⋊Q8 | C24 | 1 | 6 | yes | — |
| 516 | C4⋊Q8 | C24 | 1 | 1 | yes | characteristic |
| 517 | #127 | — | 2 | 6 | no | — |
| 518 | #127 | — | 2 | 3 | no | — |
| 519 | #127 | — | 2 | 3 | no | — |
| 520 | #127 | — | 2 | 3 | no | — |
| 521 | #127 | — | 2 | 3 | no | — |
| 522 | #127 | C24 | 1 | 6 | yes | — |
| 523 | #127 | C24 | 1 | 6 | yes | — |
| 524 | #127 | C24 | 1 | 3 | yes | — |
| 525 | #127 | C24 | 1 | 6 | yes | — |
| 526 | #126 | — | 2 | 12 | no | — |
| 527 | #126 | — | 2 | 6 | no | — |
| 528 | #126 | — | 2 | 6 | no | — |
| 529 | #125 | — | 2 | 6 | no | — |
| 530 | #125 | — | 2 | 1 | no | — |
| 531 | #125 | — | 2 | 3 | no | — |
| 532 | #125 | C24 | 1 | 6 | yes | — |
| 533 | #124 | — | 2 | 6 | no | — |
| 534 | #124 | — | 2 | 12 | no | — |
| 535 | #124 | — | 2 | 3 | no | — |
| 536 | #124 | — | 2 | 3 | no | — |
| 537 | #124 | — | 2 | 6 | no | — |
| 538 | #124 | — | 2 | 6 | no | — |
| 539 | #124 | — | 2 | 6 | no | — |
| 540 | #124 | — | 2 | 6 | no | — |
| 541 | #124 | — | 2 | 6 | no | — |
| 542 | #124 | — | 2 | 6 | no | — |
| 543 | #124 | — | 2 | 6 | no | — |
| 544 | #124 | — | 2 | 6 | no | — |
| 545 | #124 | — | 2 | 6 | no | — |
| 546 | #124 | — | 2 | 6 | no | — |
| 547 | #124 | — | 2 | 3 | no | — |
| 548 | #124 | — | 2 | 6 | no | — |
| 549 | #124 | — | 2 | 6 | no | — |
| 550 | #124 | — | 2 | 6 | no | — |
| 551 | #124 | — | 2 | 1 | no | — |
| 552 | #124 | — | 2 | 1 | no | — |
| 553 | #124 | — | 2 | 3 | no | — |
| 554 | #124 | C24 | 1 | 6 | yes | — |
| 555 | #124 | C24 | 1 | 6 | yes | — |
| 556 | #124 | C24 | 1 | 12 | yes | — |
| 557 | #124 | C24 | 1 | 12 | yes | — |
| 558 | #124 | C24 | 1 | 2 | yes | — |
| 559 | #124 | C24 | 1 | 2 | yes | — |
| 560 | #124 | C24 | 1 | 6 | yes | — |
| 561 | #123 | — | 2 | 6 | no | — |
| 562 | #123 | — | 2 | 6 | no | — |
| 563 | #123 | — | 2 | 6 | no | — |
| 564 | #123 | — | 2 | 12 | no | — |
| 565 | #123 | — | 2 | 12 | no | — |
| 566 | #123 | — | 2 | 12 | no | — |
| 567 | #123 | — | 2 | 12 | no | — |
| 568 | #123 | — | 2 | 12 | no | — |
| 569 | #123 | — | 2 | 12 | no | — |
| 570 | #123 | — | 2 | 12 | no | — |
| 571 | C22⋊Q8 | — | 2 | 6 | no | — |
| 572 | C22⋊Q8 | — | 2 | 1 | no | — |
| 573 | C22⋊Q8 | — | 2 | 3 | no | — |
| 574 | C22⋊Q8 | — | 2 | 3 | no | — |
| 575 | C22⋊Q8 | — | 2 | 3 | no | — |
| 576 | C22⋊Q8 | — | 2 | 6 | no | — |
| 577 | C22⋊Q8 | — | 2 | 6 | no | — |
| 578 | C22⋊Q8 | — | 2 | 6 | no | — |
| 579 | C22⋊Q8 | — | 2 | 6 | no | — |
| 580 | C22⋊Q8 | — | 2 | 12 | no | — |
| 581 | C22⋊Q8 | — | 2 | 12 | no | — |
| 582 | C22⋊Q8 | — | 2 | 12 | no | — |
| 583 | C22⋊Q8 | — | 2 | 12 | no | — |
| 584 | C22⋊Q8 | C24 | 1 | 2 | yes | — |
| 585 | C22⋊Q8 | C24 | 1 | 6 | yes | — |
| 586 | #121 | — | 2 | 12 | no | — |
| 587 | #121 | — | 2 | 6 | no | — |
| 588 | #121 | — | 2 | 3 | no | — |
| 589 | #121 | — | 2 | 6 | no | — |
| 590 | #121 | — | 2 | 6 | no | — |
| 591 | #121 | — | 2 | 6 | no | — |
| 592 | #121 | — | 2 | 6 | no | — |
| 593 | #121 | — | 2 | 6 | no | — |
| 594 | #121 | — | 2 | 6 | no | — |
| 595 | #121 | — | 2 | 6 | no | — |
| 596 | #121 | — | 2 | 6 | no | — |
| 597 | #121 | — | 2 | 6 | no | — |
| 598 | #121 | — | 2 | 6 | no | — |
| 599 | #121 | — | 2 | 6 | no | — |
| 600 | #121 | — | 2 | 6 | no | — |
| 601 | #121 | — | 2 | 6 | no | — |
| 602 | #121 | — | 2 | 3 | no | — |
| 603 | #121 | — | 2 | 3 | no | — |
| 604 | #121 | — | 2 | 3 | no | — |
| 605 | #121 | — | 2 | 6 | no | — |
| 606 | #121 | — | 2 | 6 | no | — |
| 607 | #121 | — | 2 | 6 | no | — |
| 608 | #121 | — | 2 | 6 | no | — |
| 609 | #121 | — | 2 | 12 | no | — |
| 610 | #121 | — | 2 | 12 | no | — |
| 611 | #121 | — | 2 | 6 | no | — |
| 612 | #121 | — | 2 | 6 | no | — |
| 613 | #121 | — | 2 | 12 | no | — |
| 614 | #121 | — | 2 | 12 | no | — |
| 615 | #121 | C24 | 1 | 6 | yes | — |
| 616 | #121 | C24 | 1 | 12 | yes | — |
| 617 | #121 | C24 | 1 | 6 | yes | — |
| 618 | #120 | — | 2 | 6 | no | — |
| 619 | #120 | — | 2 | 12 | no | — |
| 620 | #120 | — | 2 | 12 | no | — |
| 621 | #120 | — | 2 | 12 | no | — |
| 622 | #120 | — | 2 | 12 | no | — |
| 623 | #120 | — | 2 | 12 | no | — |
| 624 | #120 | — | 2 | 12 | no | — |
| 625 | C4×Q8 | — | 2 | 2 | no | — |
| 626 | C4×Q8 | — | 2 | 1 | no | — |
| 627 | C4×Q8 | — | 2 | 3 | no | — |
| 628 | C4×Q8 | — | 2 | 3 | no | — |
| 629 | C4×Q8 | — | 2 | 3 | no | — |
| 630 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 631 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 632 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 633 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 634 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 635 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 636 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 637 | C4×Q8 | C2×D4 | 1 | 3 | yes | — |
| 638 | C4×Q8 | C24 | 1 | 2 | yes | — |
| 639 | C4×Q8 | C24 | 1 | 6 | yes | — |
| 640 | C4×D4 | — | 2 | 6 | no | — |
| 641 | C4×D4 | — | 2 | 6 | no | — |
| 642 | C4×D4 | — | 2 | 6 | no | — |
| 643 | C4×D4 | — | 2 | 6 | no | — |
| 644 | C4×D4 | — | 2 | 6 | no | — |
| 645 | C4×D4 | — | 2 | 6 | no | — |
| 646 | C4×D4 | — | 2 | 6 | no | — |
| 647 | C4×D4 | — | 2 | 6 | no | — |
| 648 | C4×D4 | — | 2 | 6 | no | — |
| 649 | C4×D4 | — | 2 | 12 | no | — |
| 650 | C4×D4 | — | 2 | 3 | no | — |
| 651 | C4×D4 | — | 2 | 6 | no | — |
| 652 | C4×D4 | — | 2 | 6 | no | — |
| 653 | C4×D4 | — | 2 | 6 | no | — |
| 654 | C4×D4 | — | 2 | 6 | no | — |
| 655 | C4×D4 | — | 2 | 6 | no | — |
| 656 | C4×D4 | — | 2 | 6 | no | — |
| 657 | C4×D4 | — | 2 | 6 | no | — |
| 658 | C4×D4 | — | 2 | 6 | no | — |
| 659 | C4×D4 | — | 2 | 6 | no | — |
| 660 | C4×D4 | — | 2 | 6 | no | — |
| 661 | C4×D4 | — | 2 | 6 | no | — |
| 662 | C4×D4 | — | 2 | 6 | no | — |
| 663 | C4×D4 | — | 2 | 6 | no | — |
| 664 | C4×D4 | — | 2 | 3 | no | — |
| 665 | C4×D4 | — | 2 | 3 | no | — |
| 666 | C4×D4 | — | 2 | 3 | no | — |
| 667 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 668 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 669 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 670 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 671 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 672 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 673 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 674 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 675 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 676 | C4×D4 | C2×D4 | 1 | 6 | yes | — |
| 677 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 678 | C4×D4 | C2×D4 | 1 | 3 | yes | — |
| 679 | C4×D4 | C24 | 1 | 6 | yes | — |
| 680 | C4×D4 | C24 | 1 | 12 | yes | — |
| 681 | C4×D4 | C24 | 1 | 6 | yes | — |
| 682 | #117 | — | 2 | 1 | no | — |
| 683 | #117 | — | 2 | 3 | no | — |
| 684 | #117 | — | 2 | 6 | no | — |
| 685 | #117 | — | 2 | 6 | no | — |
| 686 | #117 | — | 2 | 6 | no | — |
| 687 | #117 | — | 2 | 6 | no | — |
| 688 | #117 | C2×D4 | 1 | 6 | yes | — |
| 689 | #117 | C2×D4 | 1 | 3 | yes | — |
| 690 | #117 | C2×D4 | 1 | 3 | yes | — |
| 691 | #117 | C24 | 1 | 6 | yes | — |
| 692 | #117 | C24 | 1 | 3 | yes | — |
| 693 | #117 | C24 | 1 | 3 | yes | — |
| 694 | #117 | C24 | 1 | 6 | yes | — |
| 695 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 696 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 697 | C2×C4⋊C4 | — | 2 | 3 | no | — |
| 698 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 699 | C2×C4⋊C4 | C2×D4 | 1 | 3 | yes | — |
| 700 | C2×C4⋊C4 | C2×D4 | 1 | 3 | yes | — |
| 701 | C2×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 702 | C2×C22⋊C4 | — | 2 | 3 | no | — |
| 703 | C2×C22⋊C4 | — | 2 | 3 | no | — |
| 704 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 705 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 706 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 707 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 708 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 709 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 710 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 711 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 712 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 713 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 714 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 715 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 716 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 717 | C2×C22⋊C4 | — | 2 | 6 | no | — |
| 718 | C2×C22⋊C4 | — | 2 | 12 | no | — |
| 719 | C2×C22⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 720 | C2×C42 | — | 2 | 6 | no | — |
| 721 | C2×C42 | C2×D4 | 1 | 3 | yes | — |
| 722 | C2×C42 | C2×D4 | 1 | 3 | yes | — |
| 723 | C2×C42 | C2×D4 | 1 | 3 | yes | — |
| 724 | C2×C42 | C2×D4 | 1 | 3 | yes | — |
| 725 | C2×C42 | C2×D4 | 1 | 3 | yes | — |
| 726 | C2×C42 | C2×D4 | 1 | 3 | yes | — |
| 727 | C2×C42 | C24 | 1 | 3 | yes | — |
| 728 | C2×C42 | C24 | 1 | 3 | yes | — |
| 729 | C2×C42 | C24 | 1 | 3 | yes | — |
| 730 | C2×C42 | C24 | 1 | 3 | yes | — |
| 731 | C2×C42 | C24 | 1 | 3 | yes | — |
| 732 | C2×C42 | C24 | 1 | 1 | yes | characteristic |
| 733 | C4⋊C8 | C24 | 1 | 2 | yes | — |
| 734 | C4⋊C8 | C24 | 1 | 6 | yes | — |
| 735 | C4⋊C8 | C24 | 1 | 12 | yes | — |
| 736 | C4⋊C8 | C24 | 1 | 12 | yes | — |
| 737 | #103 | C24 | 1 | 12 | yes | — |
| 738 | #103 | C24 | 1 | 24 | yes | — |
| 739 | #103 | C24 | 1 | 4 | yes | — |
| 740 | #103 | C24 | 1 | 12 | yes | — |
| 741 | #103 | C24 | 1 | 12 | yes | — |
| 742 | #102 | C24 | 1 | 12 | yes | — |
| 743 | #102 | C24 | 1 | 24 | yes | — |
| 744 | #102 | C24 | 1 | 12 | yes | — |
| 745 | #102 | C24 | 1 | 4 | yes | — |
| 746 | #102 | C24 | 1 | 12 | yes | — |
| 747 | C22⋊C8 | C24 | 1 | 2 | yes | — |
| 748 | C22⋊C8 | C24 | 1 | 6 | yes | — |
| 749 | C22⋊C8 | C24 | 1 | 12 | yes | — |
| 750 | C22⋊C8 | C24 | 1 | 12 | yes | — |
| 751 | #97 | C24 | 1 | 2 | yes | — |
| 752 | #97 | C24 | 1 | 6 | yes | — |
| 753 | #97 | C24 | 1 | 12 | yes | — |
| 754 | C4×C8 | C24 | 1 | 12 | yes | — |
| 755 | C24 | — | 2 | 3 | no | — |
| 756 | C24 | — | 2 | 1 | no | — |
| 757 | C24 | — | 2 | 6 | no | — |
| 758 | C24 | — | 2 | 6 | no | — |
| 759 | C24 | — | 2 | 6 | no | — |
| 760 | C24 | — | 4 | 12 | no | — |
| 761 | C24 | — | 8 | 6 | no | — |
| 762 | C24 | — | 8 | 6 | no | — |
| 763 | C24 | C22×D4 | 1 | 3 | yes | — |
| 764 | #41 | — | 2 | 4 | no | — |
| 765 | #41 | — | 2 | 12 | no | — |
| 766 | #41 | — | 2 | 12 | no | — |
| 767 | #41 | — | 2 | 24 | no | — |
| 768 | #41 | — | 2 | 24 | no | — |
| 769 | #41 | — | 2 | 24 | no | — |
| 770 | #41 | — | 4 | 12 | no | — |
| 771 | #41 | — | 4 | 12 | no | — |
| 772 | #41 | — | 4 | 12 | no | — |
| 773 | #41 | — | 4 | 12 | no | — |
| 774 | #41 | — | 4 | 12 | no | — |
| 775 | #41 | — | 4 | 12 | no | — |
| 776 | #41 | — | 4 | 12 | no | — |
| 777 | #41 | — | 4 | 48 | no | — |
| 778 | #41 | — | 4 | 24 | no | — |
| 779 | #41 | — | 4 | 24 | no | — |
| 780 | #41 | — | 4 | 8 | no | — |
| 781 | #41 | — | 4 | 8 | no | — |
| 782 | #41 | — | 4 | 24 | no | — |
| 783 | #41 | — | 8 | 12 | no | — |
| 784 | #41 | — | 8 | 12 | no | — |
| 785 | #41 | — | 8 | 6 | no | — |
| 786 | #41 | — | 8 | 12 | no | — |
| 787 | #41 | H(5,𝔽2) | 1 | 8 | yes | — |
| 788 | C2×Q8 | — | 2 | 4 | no | — |
| 789 | C2×Q8 | — | 2 | 1 | no | — |
| 790 | C2×Q8 | — | 2 | 3 | no | — |
| 791 | C2×Q8 | — | 2 | 6 | no | — |
| 792 | C2×Q8 | — | 2 | 6 | no | — |
| 793 | C2×Q8 | — | 2 | 3 | no | — |
| 794 | C2×Q8 | — | 2 | 1 | no | — |
| 795 | C2×Q8 | — | 2 | 6 | no | — |
| 796 | C2×Q8 | — | 2 | 24 | no | — |
| 797 | C2×Q8 | — | 4 | 6 | no | — |
| 798 | C2×Q8 | — | 4 | 12 | no | — |
| 799 | C2×Q8 | — | 4 | 2 | no | — |
| 800 | C2×Q8 | — | 4 | 12 | no | — |
| 801 | C2×Q8 | — | 4 | 12 | no | — |
| 802 | C2×Q8 | — | 4 | 12 | no | — |
| 803 | C2×Q8 | — | 4 | 24 | no | — |
| 804 | C2×Q8 | — | 4 | 8 | no | — |
| 805 | C2×Q8 | — | 8 | 6 | no | — |
| 806 | C2×Q8 | C22×D4 | 1 | 3 | yes | — |
| 807 | C2×Q8 | C22×D4 | 1 | 1 | yes | characteristic |
| 808 | C2×Q8 | C25 | 1 | 6 | yes | — |
| 809 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 810 | C2×Q8 | C25 | 1 | 2 | yes | — |
| 811 | C2×D4 | — | 2 | 12 | no | — |
| 812 | C2×D4 | — | 2 | 6 | no | — |
| 813 | C2×D4 | — | 2 | 6 | no | — |
| 814 | C2×D4 | — | 2 | 6 | no | — |
| 815 | C2×D4 | — | 2 | 6 | no | — |
| 816 | C2×D4 | — | 2 | 6 | no | — |
| 817 | C2×D4 | — | 2 | 6 | no | — |
| 818 | C2×D4 | — | 2 | 6 | no | — |
| 819 | C2×D4 | — | 2 | 12 | no | — |
| 820 | C2×D4 | — | 2 | 6 | no | — |
| 821 | C2×D4 | — | 2 | 3 | no | — |
| 822 | C2×D4 | — | 2 | 3 | no | — |
| 823 | C2×D4 | — | 2 | 6 | no | — |
| 824 | C2×D4 | — | 2 | 6 | no | — |
| 825 | C2×D4 | — | 2 | 3 | no | — |
| 826 | C2×D4 | — | 2 | 1 | no | — |
| 827 | C2×D4 | — | 2 | 6 | no | — |
| 828 | C2×D4 | — | 2 | 6 | no | — |
| 829 | C2×D4 | — | 2 | 6 | no | — |
| 830 | C2×D4 | — | 2 | 6 | no | — |
| 831 | C2×D4 | — | 2 | 6 | no | — |
| 832 | C2×D4 | — | 2 | 6 | no | — |
| 833 | C2×D4 | — | 2 | 24 | no | — |
| 834 | C2×D4 | — | 2 | 24 | no | — |
| 835 | C2×D4 | — | 4 | 6 | no | — |
| 836 | C2×D4 | — | 4 | 12 | no | — |
| 837 | C2×D4 | — | 4 | 2 | no | — |
| 838 | C2×D4 | — | 4 | 12 | no | — |
| 839 | C2×D4 | — | 4 | 12 | no | — |
| 840 | C2×D4 | — | 4 | 12 | no | — |
| 841 | C2×D4 | — | 4 | 48 | no | — |
| 842 | C2×D4 | — | 4 | 24 | no | — |
| 843 | C2×D4 | — | 4 | 12 | no | — |
| 844 | C2×D4 | — | 4 | 12 | no | — |
| 845 | C2×D4 | — | 4 | 24 | no | — |
| 846 | C2×D4 | — | 4 | 24 | no | — |
| 847 | C2×D4 | — | 8 | 6 | no | — |
| 848 | C2×D4 | — | 8 | 6 | no | — |
| 849 | C2×D4 | — | 8 | 6 | no | — |
| 850 | C2×D4 | — | 8 | 6 | no | — |
| 851 | C2×D4 | — | 8 | 12 | no | — |
| 852 | C2×D4 | C22×D4 | 1 | 6 | yes | — |
| 853 | C2×D4 | C22×D4 | 1 | 3 | yes | — |
| 854 | C2×D4 | C22×D4 | 1 | 3 | yes | — |
| 855 | C2×D4 | C25 | 1 | 6 | yes | — |
| 856 | C2×D4 | C25 | 1 | 2 | yes | — |
| 857 | C2×D4 | C25 | 1 | 6 | yes | — |
| 858 | C22×C4 | — | 2 | 12 | no | — |
| 859 | C22×C4 | — | 2 | 3 | no | — |
| 860 | C22×C4 | — | 2 | 6 | no | — |
| 861 | C22×C4 | — | 2 | 6 | no | — |
| 862 | C22×C4 | — | 2 | 1 | no | — |
| 863 | C22×C4 | — | 2 | 6 | no | — |
| 864 | C22×C4 | — | 2 | 6 | no | — |
| 865 | C22×C4 | — | 2 | 6 | no | — |
| 866 | C22×C4 | — | 2 | 6 | no | — |
| 867 | C22×C4 | — | 2 | 6 | no | — |
| 868 | C22×C4 | — | 2 | 6 | no | — |
| 869 | C22×C4 | — | 2 | 6 | no | — |
| 870 | C22×C4 | — | 2 | 6 | no | — |
| 871 | C22×C4 | — | 2 | 12 | no | — |
| 872 | C22×C4 | — | 4 | 6 | no | — |
| 873 | C22×C4 | — | 4 | 12 | no | — |
| 874 | C22×C4 | — | 4 | 12 | no | — |
| 875 | C22×C4 | — | 4 | 12 | no | — |
| 876 | C22×C4 | — | 8 | 3 | no | — |
| 877 | C22×C4 | — | 8 | 12 | no | — |
| 878 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 879 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 880 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 881 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 882 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 883 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 884 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 885 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 886 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 887 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 888 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 889 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 890 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 891 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 892 | C22×C4 | C22×D4 | 1 | 3 | yes | — |
| 893 | C22×C4 | C25 | 1 | 1 | yes | characteristic |
| 894 | C22×C4 | C25 | 1 | 3 | yes | — |
| 895 | C22×C4 | C25 | 1 | 3 | yes | — |
| 896 | Q16 | — | 4 | 4 | no | — |
| 897 | Q16 | — | 4 | 12 | no | — |
| 898 | SD16 | — | 4 | 12 | no | — |
| 899 | SD16 | — | 4 | 24 | no | — |
| 900 | SD16 | — | 4 | 4 | no | — |
| 901 | SD16 | — | 4 | 12 | no | — |
| 902 | SD16 | — | 4 | 12 | no | — |
| 903 | D8 | — | 4 | 12 | no | — |
| 904 | D8 | — | 4 | 24 | no | — |
| 905 | D8 | — | 4 | 12 | no | — |
| 906 | M16 | — | 2 | 24 | no | — |
| 907 | C2×C8 | — | 2 | 24 | no | — |
| 908 | C2×C8 | C25 | 1 | 12 | yes | — |
| 909 | C2×C8 | C25 | 1 | 4 | yes | — |
| 910 | C4⋊C4 | — | 2 | 3 | no | — |
| 911 | C4⋊C4 | — | 2 | 6 | no | — |
| 912 | C4⋊C4 | — | 2 | 6 | no | — |
| 913 | C4⋊C4 | — | 2 | 6 | no | — |
| 914 | C4⋊C4 | — | 2 | 6 | no | — |
| 915 | C4⋊C4 | — | 2 | 6 | no | — |
| 916 | C4⋊C4 | — | 2 | 6 | no | — |
| 917 | C4⋊C4 | — | 2 | 6 | no | — |
| 918 | C4⋊C4 | — | 2 | 1 | no | — |
| 919 | C4⋊C4 | — | 2 | 2 | no | — |
| 920 | C4⋊C4 | — | 2 | 2 | no | — |
| 921 | C4⋊C4 | — | 2 | 1 | no | — |
| 922 | C4⋊C4 | — | 2 | 1 | no | — |
| 923 | C4⋊C4 | — | 2 | 6 | no | — |
| 924 | C4⋊C4 | — | 2 | 6 | no | — |
| 925 | C4⋊C4 | — | 2 | 6 | no | — |
| 926 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 927 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 928 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 929 | C4⋊C4 | C22×D4 | 1 | 3 | yes | — |
| 930 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 931 | C4⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 932 | C4⋊C4 | C25 | 1 | 6 | yes | — |
| 933 | C4⋊C4 | C25 | 1 | 2 | yes | — |
| 934 | C22⋊C4 | — | 2 | 6 | no | — |
| 935 | C22⋊C4 | — | 2 | 2 | no | — |
| 936 | C22⋊C4 | — | 2 | 6 | no | — |
| 937 | C22⋊C4 | — | 2 | 6 | no | — |
| 938 | C22⋊C4 | — | 2 | 6 | no | — |
| 939 | C22⋊C4 | — | 2 | 6 | no | — |
| 940 | C22⋊C4 | — | 2 | 6 | no | — |
| 941 | C22⋊C4 | — | 2 | 12 | no | — |
| 942 | C22⋊C4 | — | 2 | 12 | no | — |
| 943 | C22⋊C4 | — | 2 | 12 | no | — |
| 944 | C22⋊C4 | — | 2 | 12 | no | — |
| 945 | C22⋊C4 | — | 2 | 6 | no | — |
| 946 | C22⋊C4 | — | 2 | 6 | no | — |
| 947 | C22⋊C4 | — | 2 | 12 | no | — |
| 948 | C22⋊C4 | — | 2 | 6 | no | — |
| 949 | C22⋊C4 | — | 2 | 2 | no | — |
| 950 | C22⋊C4 | — | 2 | 2 | no | — |
| 951 | C22⋊C4 | — | 2 | 2 | no | — |
| 952 | C22⋊C4 | — | 2 | 2 | no | — |
| 953 | C22⋊C4 | — | 2 | 12 | no | — |
| 954 | C22⋊C4 | — | 2 | 6 | no | — |
| 955 | C22⋊C4 | — | 2 | 6 | no | — |
| 956 | C22⋊C4 | — | 2 | 6 | no | — |
| 957 | C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 958 | C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 959 | C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 960 | C22⋊C4 | C22×D4 | 1 | 6 | yes | — |
| 961 | C42 | — | 2 | 2 | no | — |
| 962 | C42 | — | 2 | 6 | no | — |
| 963 | C42 | — | 2 | 6 | no | — |
| 964 | C42 | C22×D4 | 1 | 3 | yes | — |
| 965 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 966 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 967 | C42 | C22×D4 | 1 | 3 | yes | — |
| 968 | C42 | C22×D4 | 1 | 3 | yes | — |
| 969 | C42 | C22×D4 | 1 | 3 | yes | — |
| 970 | C42 | C22×D4 | 1 | 3 | yes | — |
| 971 | C42 | C22×D4 | 1 | 3 | yes | — |
| 972 | C42 | C22×D4 | 1 | 3 | yes | — |
| 973 | C42 | C22×D4 | 1 | 3 | yes | — |
| 974 | C42 | C22×D4 | 1 | 3 | yes | — |
| 975 | C42 | C22×D4 | 1 | 3 | yes | — |
| 976 | C42 | C25 | 1 | 3 | yes | — |
| 977 | C42 | C25 | 1 | 1 | yes | characteristic |
| 978 | C42 | C25 | 1 | 1 | yes | characteristic |
| 979 | C42 | C25 | 1 | 3 | yes | — |
| 980 | C23 | — | 2 | 6 | no | — |
| 981 | C23 | — | 2 | 6 | no | — |
| 982 | C23 | — | 2 | 6 | no | — |
| 983 | C23 | — | 2 | 6 | no | — |
| 984 | C23 | — | 2 | 2 | no | — |
| 985 | C23 | — | 4 | 3 | no | — |
| 986 | C23 | — | 4 | 2 | no | — |
| 987 | C23 | — | 4 | 6 | no | — |
| 988 | C23 | — | 4 | 2 | no | — |
| 989 | C23 | — | 4 | 6 | no | — |
| 990 | C23 | — | 4 | 12 | no | — |
| 991 | C23 | — | 4 | 2 | no | — |
| 992 | C23 | — | 4 | 6 | no | — |
| 993 | C23 | — | 4 | 12 | no | — |
| 994 | C23 | — | 4 | 12 | no | — |
| 995 | C23 | — | 8 | 6 | no | — |
| 996 | C23 | — | 8 | 6 | no | — |
| 997 | C23 | — | 8 | 6 | no | — |
| 998 | C23 | — | 8 | 6 | no | — |
| 999 | C23 | — | 8 | 6 | no | — |
| 1000 | C23 | — | 8 | 6 | no | — |
| 1001 | C23 | — | 16 | 24 | no | — |
| 1002 | C23 | C23×D4 | 1 | 3 | yes | — |
| 1003 | C23 | C23×D4 | 1 | 1 | yes | characteristic |
| 1004 | C23 | C23×D4 | 1 | 3 | yes | — |
| 1005 | Q8 | — | 2 | 6 | no | — |
| 1006 | Q8 | — | 2 | 4 | no | — |
| 1007 | Q8 | — | 2 | 12 | no | — |
| 1008 | Q8 | — | 2 | 4 | no | — |
| 1009 | Q8 | — | 4 | 6 | no | — |
| 1010 | Q8 | — | 4 | 12 | no | — |
| 1011 | Q8 | — | 4 | 2 | no | — |
| 1012 | Q8 | — | 4 | 6 | no | — |
| 1013 | Q8 | — | 4 | 2 | no | — |
| 1014 | Q8 | — | 4 | 12 | no | — |
| 1015 | Q8 | — | 8 | 6 | no | — |
| 1016 | Q8 | #535 | 1 | 4 | yes | — |
| 1017 | D4 | — | 2 | 12 | no | — |
| 1018 | D4 | — | 2 | 12 | no | — |
| 1019 | D4 | — | 2 | 12 | no | — |
| 1020 | D4 | — | 2 | 4 | no | — |
| 1021 | D4 | — | 2 | 6 | no | — |
| 1022 | D4 | — | 4 | 6 | no | — |
| 1023 | D4 | — | 4 | 12 | no | — |
| 1024 | D4 | — | 4 | 2 | no | — |
| 1025 | D4 | — | 4 | 6 | no | — |
| 1026 | D4 | — | 4 | 6 | no | — |
| 1027 | D4 | — | 4 | 12 | no | — |
| 1028 | D4 | — | 4 | 12 | no | — |
| 1029 | D4 | — | 4 | 12 | no | — |
| 1030 | D4 | — | 4 | 12 | no | — |
| 1031 | D4 | — | 4 | 12 | no | — |
| 1032 | D4 | — | 4 | 12 | no | — |
| 1033 | D4 | — | 4 | 12 | no | — |
| 1034 | D4 | — | 4 | 12 | no | — |
| 1035 | D4 | — | 8 | 6 | no | — |
| 1036 | D4 | — | 8 | 6 | no | — |
| 1037 | D4 | — | 8 | 6 | no | — |
| 1038 | D4 | — | 8 | 6 | no | — |
| 1039 | D4 | — | 8 | 6 | no | — |
| 1040 | D4 | — | 8 | 6 | no | — |
| 1041 | D4 | — | 8 | 12 | no | — |
| 1042 | D4 | — | 8 | 6 | no | — |
| 1043 | D4 | #535 | 1 | 12 | yes | — |
| 1044 | C2×C4 | — | 2 | 2 | no | — |
| 1045 | C2×C4 | — | 2 | 6 | no | — |
| 1046 | C2×C4 | — | 2 | 6 | no | — |
| 1047 | C2×C4 | — | 2 | 2 | no | — |
| 1048 | C2×C4 | — | 2 | 6 | no | — |
| 1049 | C2×C4 | — | 2 | 6 | no | — |
| 1050 | C2×C4 | — | 2 | 6 | no | — |
| 1051 | C2×C4 | — | 2 | 2 | no | — |
| 1052 | C2×C4 | — | 2 | 2 | no | — |
| 1053 | C2×C4 | — | 2 | 6 | no | — |
| 1054 | C2×C4 | — | 2 | 6 | no | — |
| 1055 | C2×C4 | — | 2 | 2 | no | — |
| 1056 | C2×C4 | — | 4 | 3 | no | — |
| 1057 | C2×C4 | — | 4 | 3 | no | — |
| 1058 | C2×C4 | — | 4 | 3 | no | — |
| 1059 | C2×C4 | — | 4 | 3 | no | — |
| 1060 | C2×C4 | — | 4 | 1 | no | — |
| 1061 | C2×C4 | — | 4 | 3 | no | — |
| 1062 | C2×C4 | — | 4 | 3 | no | — |
| 1063 | C2×C4 | — | 4 | 3 | no | — |
| 1064 | C2×C4 | — | 4 | 3 | no | — |
| 1065 | C2×C4 | — | 4 | 3 | no | — |
| 1066 | C2×C4 | — | 4 | 12 | no | — |
| 1067 | C2×C4 | — | 4 | 12 | no | — |
| 1068 | C2×C4 | — | 4 | 12 | no | — |
| 1069 | C2×C4 | — | 4 | 2 | no | — |
| 1070 | C2×C4 | — | 4 | 6 | no | — |
| 1071 | C2×C4 | — | 4 | 12 | no | — |
| 1072 | C2×C4 | — | 4 | 12 | no | — |
| 1073 | C2×C4 | — | 4 | 12 | no | — |
| 1074 | C2×C4 | — | 4 | 12 | no | — |
| 1075 | C2×C4 | — | 4 | 12 | no | — |
| 1076 | C2×C4 | — | 8 | 12 | no | — |
| 1077 | C2×C4 | — | 8 | 6 | no | — |
| 1078 | C2×C4 | — | 8 | 6 | no | — |
| 1079 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1080 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1081 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1082 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1083 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1084 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1085 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1086 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1087 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1088 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1089 | C2×C4 | C23×D4 | 1 | 3 | yes | — |
| 1090 | C2×C4 | C2×H(5,𝔽2) | 1 | 12 | yes | — |
| 1091 | C2×C4 | C26 | 1 | 1 | yes | characteristic |
| 1092 | C8 | — | 2 | 4 | no | — |
| 1093 | C8 | — | 2 | 12 | no | — |
| 1094 | C22 | — | 2 | 3 | no | — |
| 1095 | C22 | — | 2 | 1 | no | — |
| 1096 | C22 | — | 2 | 3 | no | — |
| 1097 | C22 | — | 2 | 1 | no | — |
| 1098 | C22 | — | 2 | 3 | no | — |
| 1099 | C22 | — | 2 | 3 | no | — |
| 1100 | C22 | — | 2 | 3 | no | — |
| 1101 | C22 | — | 4 | 12 | no | — |
| 1102 | C22 | — | 4 | 6 | no | — |
| 1103 | C22 | — | 4 | 2 | no | — |
| 1104 | C22 | — | 4 | 6 | no | — |
| 1105 | C22 | — | 4 | 6 | no | — |
| 1106 | C22 | — | 4 | 2 | no | — |
| 1107 | C22 | — | 4 | 6 | no | — |
| 1108 | C22 | — | 4 | 2 | no | — |
| 1109 | C22 | — | 4 | 6 | no | — |
| 1110 | C22 | — | 4 | 6 | no | — |
| 1111 | C22 | — | 8 | 4 | no | — |
| 1112 | C22 | — | 8 | 12 | no | — |
| 1113 | C22 | — | 16 | 12 | no | — |
| 1114 | C22 | — | 16 | 12 | no | — |
| 1115 | C22 | — | 16 | 12 | no | — |
| 1116 | C22 | C2×#535 | 1 | 6 | yes | — |
| 1117 | C22 | #3585 | 1 | 2 | yes | — |
| 1118 | C22 | C24×D4 | 1 | 1 | yes | characteristic |
| 1119 | C4 | — | 2 | 1 | no | — |
| 1120 | C4 | — | 2 | 1 | no | — |
| 1121 | C4 | — | 2 | 3 | no | — |
| 1122 | C4 | — | 2 | 3 | no | — |
| 1123 | C4 | — | 2 | 1 | no | — |
| 1124 | C4 | — | 2 | 1 | no | — |
| 1125 | C4 | — | 2 | 3 | no | — |
| 1126 | C4 | — | 2 | 3 | no | — |
| 1127 | C4 | — | 2 | 1 | no | — |
| 1128 | C4 | — | 2 | 3 | no | — |
| 1129 | C4 | — | 4 | 6 | no | — |
| 1130 | C4 | — | 4 | 2 | no | — |
| 1131 | C4 | — | 4 | 2 | no | — |
| 1132 | C4 | — | 4 | 6 | no | — |
| 1133 | C4 | — | 4 | 2 | no | — |
| 1134 | C4 | C2×#535 | 1 | 6 | yes | — |
| 1135 | C4 | C22×H(5,𝔽2) | 1 | 2 | yes | — |
| 1136 | C2 | — | 2 | 2 | no | — |
| 1137 | C2 | — | 2 | 6 | no | — |
| 1138 | C2 | — | 4 | 3 | no | — |
| 1139 | C2 | — | 8 | 2 | no | — |
| 1140 | C2 | — | 8 | 6 | no | — |
| 1141 | C2 | — | 8 | 6 | no | — |
| 1142 | C2 | C22×#535 | 1 | 1 | yes | characteristic |
| 1143 | C2 | C2×#3585 | 1 | 1 | yes | characteristic |
| 1144 | C2 | #63090 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C24×D4 |
| commutator, Frattini, cosocle | C2×C4 | C26 |
| LCS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×C4×#41 ◁ G | |
| LECS | G ▷ C2×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#3500 | C2 | semidirect |
| 2. #62800 | C2 | semidirect |
| 3. #60834 | C2 | semidirect |
| 4. #60829 | C2 | semidirect |
| 5. #60825 | C2 | semidirect |
| 6. #60813 | C2 | semidirect |
| 7. #60811 | C2 | semidirect |
| 8. #60803 | C2 | semidirect |
| 9. #60799 | C2 | semidirect |
| 10. #60790 | C2 | semidirect |
| 11. C2×#3213 | C2 | semidirect |
| 12. #60650 | C2 | semidirect |
| 13. #60625 | C2 | semidirect |
| 14. #60430 | C2 | semidirect |
| 15. #60374 | C2 | semidirect |
| 16. #60372 | C2 | semidirect |
| 17. #60128 | C2 | semidirect |
| 20. C2×#577 | C22 | semidirect |
| 21. C2×#576 | C22 | semidirect |
| 26. #3511 | C22 | semidirect |
| 27. #3508 | C22 | semidirect |
| 28. #3503 | C22 | semidirect |
| 35. #3500 | C22 | semidirect |
| 36. #3500 | C22 | semidirect |
| 37. #3498 | C22 | semidirect |
| 38. #3494 | C22 | semidirect |
| 48. #3460 | C22 | semidirect |
| 49. C2×#536 | C22 | semidirect |
| 50. C2×#535 | C22 | semidirect |
| 51. #3444 | C22 | semidirect |
| 52. C2×#532 | C22 | semidirect |
| 53. C2×#532 | C22 | semidirect |
| 54. C22×#124 | C22 | semidirect |
| 55. C4×H(5,𝔽2) | C22 | semidirect |
| 57. #3225 | C22 | semidirect |
| 58. #3224 | C22 | semidirect |
| 59. #3221 | C22 | semidirect |
| 60. #3220 | C22 | semidirect |
| 61. #3219 | C22 | semidirect |
| 62. #3218 | C22 | semidirect |
| 63. #3217 | C22 | semidirect |
| 64. #3216 | C22 | semidirect |
| 65. #3215 | C22 | semidirect |
| 66. #3215 | C22 | semidirect |
| 67. #3215 | C22 | semidirect |
| 68. #3214 | C22 | semidirect |
| 69. #3214 | C22 | semidirect |
| 70. #3213 | C22 | semidirect |
| 71. #3213 | C22 | semidirect |
| 72. #3213 | C22 | semidirect |
| 73. #3213 | C22 | semidirect |
| 74. #3213 | C22 | semidirect |
| 75. #3213 | C22 | semidirect |
| 76. #3213 | C22 | semidirect |
| 77. #3211 | C22 | semidirect |
| 78. #3211 | C22 | semidirect |
| 79. #3207 | C22 | semidirect |
| 80. #3206 | C22 | semidirect |
| 81. #3205 | C22 | semidirect |
| 82. #3155 | C22 | semidirect |
| 83. #3154 | C22 | semidirect |
| 84. #3153 | C22 | semidirect |
| 85. #3151 | C22 | semidirect |
| 86. #3150 | C22 | semidirect |
| 87. C2×#496 | C22 | semidirect |
| 88. #3141 | C22 | semidirect |
| 89. #3140 | C22 | semidirect |
| 90. #3137 | C22 | semidirect |
| 91. #3136 | C22 | semidirect |
| 92. #3135 | C22 | semidirect |
| 93. C2×#489 | C22 | semidirect |
| 94. #3046 | C22 | semidirect |
| 95. #3045 | C22 | semidirect |
| 96. #3042 | C22 | semidirect |
| 97. #3041 | C22 | semidirect |
| 98. #3040 | C22 | semidirect |
| 99. #3036 | C22 | semidirect |
| 100. #3035 | C22 | semidirect |
| 101. C2×#463 | C22 | semidirect |
| 102. #3013 | C22 | semidirect |
| 103. #3012 | C22 | semidirect |
| 104. #3010 | C22 | semidirect |
| 105. #3008 | C22 | semidirect |
| 106. #3006 | C22 | semidirect |
| 107. #3006 | C22 | semidirect |
| 108. #3004 | C22 | semidirect |
| 109. #3003 | C22 | semidirect |
| 110. #3002 | C22 | semidirect |
| 111. #3002 | C22 | semidirect |
| 112. C2×#448 | C22 | semidirect |
| 113. C2×#447 | C22 | semidirect |
| 114. #2925 | C22 | semidirect |
| 115. #2924 | C22 | semidirect |
| 116. #2923 | C22 | semidirect |
| 117. #2920 | C22 | semidirect |
| 118. C2×#432 | C22 | semidirect |
| 119. #2906 | C22 | semidirect |
| 120. #2898 | C22 | semidirect |
| 121. #2897 | C22 | semidirect |
| 123. #2875 | C22 | semidirect |
| 147. C2×#137 | C23 | semidirect |
| 150. C2×AGL(1,ℤ/8) | C23 | semidirect |
| 152. C2×#135 | C23 | semidirect |
| 153. C22×SD16 | C23 | semidirect |
| 206. #544 | C23 | semidirect |
| 208. #542 | C23 | semidirect |
| 210. #540 | C23 | semidirect |
| 226. #535 | C23 | semidirect |
| 228. #533 | C23 | semidirect |
| 229. #533 | C23 | semidirect |
| 245. #532 | C23 | semidirect |
| 246. #532 | C23 | semidirect |
| 247. #532 | C23 | semidirect |
| 248. #532 | C23 | semidirect |
| 250. C2×C4⋊Q8 | C23 | semidirect |
| 252. C2×#127 | C23 | semidirect |
| 259. #529 | C23 | semidirect |
| 290. #520 | C23 | semidirect |
| 292. #518 | C23 | semidirect |
| 304. C4×#41 | C23 | semidirect |
| 313. C2×C4×D4 | C23 | semidirect |
| 318. #497 | C23 | semidirect |
| 319. #497 | C23 | semidirect |
| 320. #497 | C23 | semidirect |
| 321. #496 | C23 | semidirect |
| 322. #496 | C23 | semidirect |
| 323. #496 | C23 | semidirect |
| 324. #496 | C23 | semidirect |
| 325. #496 | C23 | semidirect |
| 326. #495 | C23 | semidirect |
| 327. #493 | C23 | semidirect |
| 328. #492 | C23 | semidirect |
| 329. #491 | C23 | semidirect |
| 330. #490 | C23 | semidirect |
| 331. #489 | C23 | semidirect |
| 332. #489 | C23 | semidirect |
| 333. #489 | C23 | semidirect |
| 334. #489 | C23 | semidirect |
| 335. #489 | C23 | semidirect |
| 336. #489 | C23 | semidirect |
| 337. #488 | C23 | semidirect |
| 338. #487 | C23 | semidirect |
| 339. #486 | C23 | semidirect |
| 340. #464 | C23 | semidirect |
| 341. #464 | C23 | semidirect |
| 342. #464 | C23 | semidirect |
| 343. #463 | C23 | semidirect |
| 344. #463 | C23 | semidirect |
| 345. #463 | C23 | semidirect |
| 346. #463 | C23 | semidirect |
| 347. #463 | C23 | semidirect |
| 348. #463 | C23 | semidirect |
| 349. #462 | C23 | semidirect |
| 350. #461 | C23 | semidirect |
| 351. #461 | C23 | semidirect |
| 352. #460 | C23 | semidirect |
| 353. #459 | C23 | semidirect |
| 354. #459 | C23 | semidirect |
| 356. #452 | C23 | semidirect |
| 359. #451 | C23 | semidirect |
| 365. #449 | C23 | semidirect |
| 366. #449 | C23 | semidirect |
| 370. #448 | C23 | semidirect |
| 371. #448 | C23 | semidirect |
| 377. #433 | C23 | semidirect |
| 381. #432 | C23 | semidirect |
| 382. #432 | C23 | semidirect |
| 383. #432 | C23 | semidirect |
| 385. #431 | C23 | semidirect |
| 386. #424 | C23 | semidirect |
| 387. #423 | C23 | semidirect |
| 388. C2×C4⋊C8 | C23 | semidirect |
| 389. #419 | C23 | semidirect |
| 392. #417 | C23 | semidirect |
| 394. #416 | C23 | semidirect |
| 395. C2×#103 | C23 | semidirect |
| 400. #405 | C23 | semidirect |
| 401. C4×M16 | C23 | semidirect |
| 402. C2×#97 | C23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#3500 | 2 |
| #62800 | 2 |
| #60834 | 2 |
| #60829 | 2 |
| #60825 | 2 |
| #60813 | 2 |
| #60811 | 2 |
| #60803 | 2 |
| #60799 | 2 |
| #60790 | 2 |
| C2×#3213 | 2 |
| #60650 | 2 |
| #60625 | 2 |
| #60430 | 2 |
| #60374 | 2 |
| #60372 | 2 |
| #60128 | 2 |