Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
7900 conjugacy classes of subgroups.
The subgroup lattice has 1414 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C3×#3522 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87066 | C2 | 1 | 3 | yes | maximal, complemented |
| 3 | #87051 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #87043 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #87040 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #86939 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #86933 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | D3×#550 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #86770 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #86713 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #86710 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #86702 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | #86691 | C2 | 1 | 6 | yes | maximal, complemented |
| 14 | #86563 | C2 | 1 | 6 | yes | maximal, complemented |
| 15 | #86532 | C2 | 1 | 6 | yes | maximal, complemented |
| 16 | #86247 | C2 | 1 | 3 | yes | maximal, complemented |
| 17 | #86242 | C2 | 1 | 3 | yes | maximal, complemented |
| 18 | #86172 | C2 | 1 | 3 | yes | maximal, complemented |
| 19 | #86153 | C2 | 1 | 3 | yes | maximal, complemented |
| 20 | #85900 | C2 | 1 | 2 | yes | maximal, complemented |
| 21 | #85896 | C2 | 1 | 2 | yes | maximal, complemented |
| 22 | #85817 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | C2×#5577 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | #63014 | — | 3 | 1 | no | maximal, Sylow |
| 25 | C2×#1009 | C22 | 1 | 2 | yes | complemented |
| 26 | C2×#1009 | C22 | 1 | 6 | yes | complemented |
| 27 | C2×D3×#41 | C22 | 1 | 2 | yes | complemented |
| 28 | C22×#239 | C22 | 1 | 2 | yes | complemented |
| 29 | C3×#559 | C22 | 1 | 3 | yes | complemented |
| 30 | C3×Q82 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3×#554 | C22 | 1 | 3 | yes | complemented |
| 32 | C3×#550 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C3×#548 | C22 | 1 | 2 | yes | complemented |
| 34 | C3×#547 | C22 | 1 | 6 | yes | complemented |
| 35 | C3×#542 | C22 | 1 | 6 | yes | complemented |
| 36 | C3×#532 | C22 | 1 | 3 | yes | complemented |
| 37 | C3×#529 | C22 | 1 | 3 | yes | complemented |
| 38 | C3×#520 | C22 | 1 | 2 | yes | complemented |
| 39 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #5834 | C22 | 1 | 2 | yes | complemented |
| 41 | #5834 | C22 | 1 | 2 | yes | complemented |
| 42 | #5830 | C22 | 1 | 6 | yes | complemented |
| 43 | #5829 | C22 | 1 | 12 | yes | complemented |
| 44 | #5817 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | Q8×#67 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #5734 | C22 | 1 | 6 | yes | complemented |
| 47 | #5734 | C22 | 1 | 3 | yes | complemented |
| 48 | #5733 | C22 | 1 | 6 | yes | complemented |
| 49 | #5730 | C22 | 1 | 3 | yes | complemented |
| 50 | #5726 | C22 | 1 | 6 | yes | complemented |
| 51 | #5725 | C22 | 1 | 6 | yes | complemented |
| 52 | #5725 | C22 | 1 | 3 | yes | complemented |
| 53 | #5725 | C22 | 1 | 3 | yes | complemented |
| 54 | #5718 | C22 | 1 | 3 | yes | complemented |
| 55 | #5717 | C22 | 1 | 3 | yes | complemented |
| 56 | D3×#127 | C22 | 1 | 3 | yes | complemented |
| 57 | D3×#127 | C22 | 1 | 3 | yes | complemented |
| 58 | #5711 | C22 | 1 | 12 | yes | complemented |
| 59 | #5709 | C22 | 1 | 6 | yes | complemented |
| 60 | #5705 | C22 | 1 | 6 | yes | complemented |
| 61 | #5697 | C22 | 1 | 6 | yes | complemented |
| 62 | #5695 | C22 | 1 | 3 | yes | complemented |
| 63 | #5690 | C22 | 1 | 3 | yes | complemented |
| 64 | #5681 | C22 | 1 | 3 | yes | complemented |
| 65 | #5678 | C22 | 1 | 12 | yes | complemented |
| 66 | #5676 | C22 | 1 | 6 | yes | complemented |
| 67 | #5676 | C22 | 1 | 3 | yes | complemented |
| 68 | #5676 | C22 | 1 | 6 | yes | complemented |
| 69 | #5674 | C22 | 1 | 6 | yes | complemented |
| 70 | #5674 | C22 | 1 | 6 | yes | complemented |
| 71 | #5674 | C22 | 1 | 6 | yes | complemented |
| 72 | #5674 | C22 | 1 | 6 | yes | complemented |
| 73 | #5668 | C22 | 1 | 6 | yes | complemented |
| 74 | #5666 | C22 | 1 | 12 | yes | complemented |
| 75 | #5663 | C22 | 1 | 12 | yes | complemented |
| 76 | #5658 | C22 | 1 | 6 | yes | complemented |
| 77 | #5654 | C22 | 1 | 12 | yes | complemented |
| 78 | #5654 | C22 | 1 | 6 | yes | complemented |
| 79 | #5653 | C22 | 1 | 12 | yes | complemented |
| 80 | #5653 | C22 | 1 | 12 | yes | complemented |
| 81 | #5647 | C22 | 1 | 12 | yes | complemented |
| 82 | #5644 | C22 | 1 | 12 | yes | complemented |
| 83 | #5635 | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | #5631 | C22 | 1 | 6 | yes | complemented |
| 85 | #5630 | C22 | 1 | 6 | yes | complemented |
| 86 | #5630 | C22 | 1 | 12 | yes | complemented |
| 87 | #5630 | C22 | 1 | 3 | yes | complemented |
| 88 | #5629 | C22 | 1 | 12 | yes | complemented |
| 89 | #5629 | C22 | 1 | 6 | yes | complemented |
| 90 | #5627 | C22 | 1 | 6 | yes | complemented |
| 91 | #5618 | C22 | 1 | 3 | yes | complemented |
| 92 | #5609 | C22 | 1 | 6 | yes | complemented |
| 93 | #5609 | C22 | 1 | 3 | yes | complemented |
| 94 | #5609 | C22 | 1 | 6 | yes | complemented |
| 95 | #5609 | C22 | 1 | 6 | yes | complemented |
| 96 | #5609 | C22 | 1 | 6 | yes | complemented |
| 97 | #5607 | C22 | 1 | 6 | yes | complemented |
| 98 | #5606 | C22 | 1 | 6 | yes | complemented |
| 99 | D3×#121 | C22 | 1 | 6 | yes | complemented |
| 100 | D3×#121 | C22 | 1 | 6 | yes | complemented |
| 101 | #5599 | C22 | 1 | 6 | yes | complemented |
| 102 | #5585 | C22 | 1 | 3 | yes | complemented |
| 103 | #5581 | C22 | 1 | 3 | yes | complemented |
| 104 | #5580 | C22 | 1 | 3 | yes | complemented |
| 105 | #5580 | C22 | 1 | 3 | yes | complemented |
| 106 | #5578 | C22 | 1 | 3 | yes | complemented |
| 107 | #5577 | C22 | 1 | 3 | yes | complemented |
| 108 | #5577 | C22 | 1 | 1 | yes | characteristic, complemented |
| 109 | #5577 | C22 | 1 | 2 | yes | complemented |
| 110 | #5577 | C22 | 1 | 1 | yes | characteristic, complemented |
| 111 | #5577 | C22 | 1 | 6 | yes | complemented |
| 112 | #5577 | C22 | 1 | 3 | yes | complemented |
| 113 | #5577 | C22 | 1 | 3 | yes | complemented |
| 114 | #5577 | C22 | 1 | 2 | yes | complemented |
| 115 | #5576 | C22 | 1 | 2 | yes | complemented |
| 116 | #5576 | C22 | 1 | 1 | yes | characteristic, complemented |
| 117 | #5574 | C22 | 1 | 2 | yes | complemented |
| 118 | C4×#239 | C22 | 1 | 3 | yes | complemented |
| 119 | C4×#239 | C22 | 1 | 1 | yes | characteristic, complemented |
| 120 | C4×#239 | C22 | 1 | 2 | yes | complemented |
| 121 | C4×D3×Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 122 | #5569 | C22 | 1 | 1 | yes | characteristic, complemented |
| 123 | #5568 | C22 | 1 | 3 | yes | complemented |
| 124 | #5562 | C22 | 1 | 6 | yes | complemented |
| 125 | #5562 | C22 | 1 | 6 | yes | complemented |
| 126 | #5558 | C22 | 1 | 6 | yes | complemented |
| 127 | #5554 | C22 | 1 | 6 | yes | complemented |
| 128 | #5554 | C22 | 1 | 6 | yes | complemented |
| 129 | #5553 | C22 | 1 | 6 | yes | complemented |
| 130 | #5553 | C22 | 1 | 6 | yes | complemented |
| 131 | #5553 | C22 | 1 | 3 | yes | complemented |
| 132 | #5550 | C22 | 1 | 6 | yes | complemented |
| 133 | D4×D12 | C22 | 1 | 6 | yes | complemented |
| 134 | D4×D12 | C22 | 1 | 6 | yes | complemented |
| 135 | D4×D12 | C22 | 1 | 6 | yes | complemented |
| 136 | D4×D12 | C22 | 1 | 3 | yes | complemented |
| 137 | D4×D12 | C22 | 1 | 6 | yes | complemented |
| 138 | #5548 | C22 | 1 | 6 | yes | complemented |
| 139 | #5548 | C22 | 1 | 3 | yes | complemented |
| 140 | #5547 | C22 | 1 | 6 | yes | complemented |
| 141 | #5545 | C22 | 1 | 6 | yes | complemented |
| 142 | C4×D3×D4 | C22 | 1 | 3 | yes | complemented |
| 143 | C4×D3×D4 | C22 | 1 | 6 | yes | complemented |
| 144 | #5535 | C22 | 1 | 6 | yes | complemented |
| 145 | #5528 | C22 | 1 | 6 | yes | complemented |
| 146 | #5525 | C22 | 1 | 6 | yes | complemented |
| 147 | #5524 | C22 | 1 | 6 | yes | complemented |
| 148 | #5514 | C22 | 1 | 6 | yes | complemented |
| 149 | #5513 | C22 | 1 | 3 | yes | complemented |
| 150 | #5510 | C22 | 1 | 6 | yes | complemented |
| 151 | #5507 | C22 | 1 | 3 | yes | complemented |
| 152 | #5507 | C22 | 1 | 6 | yes | complemented |
| 153 | C2×#895 | C22 | 1 | 6 | yes | complemented |
| 154 | C2×#895 | C22 | 1 | 6 | yes | complemented |
| 155 | #5479 | C22 | 1 | 3 | yes | complemented |
| 156 | C2×#874 | C22 | 1 | 3 | yes | complemented |
| 157 | C4×#235 | C22 | 1 | 3 | yes | complemented |
| 158 | C2×C4×D12 | C22 | 1 | 3 | yes | complemented |
| 159 | #3548 | — | 3 | 3 | no | — |
| 160 | #3546 | — | 3 | 6 | no | — |
| 161 | #3543 | — | 3 | 3 | no | — |
| 162 | #3543 | — | 3 | 3 | no | — |
| 163 | #3542 | — | 3 | 6 | no | — |
| 164 | #3542 | — | 3 | 6 | no | — |
| 165 | #3522 | — | 3 | 1 | no | — |
| 166 | #3522 | D3 | 1 | 1 | yes | characteristic, complemented |
| 167 | #3519 | — | 3 | 3 | no | — |
| 168 | #3519 | — | 3 | 3 | no | — |
| 169 | #3517 | — | 3 | 2 | no | — |
| 170 | #3508 | — | 3 | 3 | no | — |
| 171 | #3498 | — | 3 | 1 | no | — |
| 172 | #3498 | — | 3 | 3 | no | — |
| 173 | #3496 | — | 3 | 6 | no | — |
| 174 | #3488 | — | 3 | 2 | no | — |
| 175 | #3488 | — | 3 | 2 | no | — |
| 176 | #3483 | — | 3 | 1 | no | — |
| 177 | #3482 | — | 3 | 1 | no | — |
| 178 | #3481 | — | 3 | 3 | no | — |
| 179 | D4×#41 | — | 3 | 2 | no | — |
| 180 | C2×#550 | — | 3 | 1 | no | — |
| 181 | C2×#550 | — | 3 | 1 | no | — |
| 182 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 183 | C2×C3×#41 | C23 | 1 | 6 | yes | — |
| 184 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 185 | #1009 | — | 4 | 24 | no | — |
| 186 | #1009 | — | 4 | 8 | no | — |
| 187 | D3×#41 | — | 4 | 8 | no | — |
| 188 | C2×#239 | — | 4 | 8 | no | — |
| 189 | C2×#239 | C23 | 1 | 2 | yes | — |
| 190 | C2×#239 | C23 | 1 | 2 | yes | — |
| 191 | C2×#239 | C23 | 1 | 1 | yes | characteristic |
| 192 | C2×#239 | C23 | 1 | 6 | yes | — |
| 193 | C2×#239 | C23 | 1 | 3 | yes | — |
| 194 | C2×#239 | C23 | 1 | 6 | yes | — |
| 195 | C2×#239 | C23 | 1 | 6 | yes | — |
| 196 | C2×#239 | C23 | 1 | 6 | yes | — |
| 197 | C2×D3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 198 | C2×#237 | C23 | 1 | 6 | yes | — |
| 199 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 200 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 201 | C2×D3×D4 | C23 | 1 | 12 | yes | — |
| 202 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 203 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 204 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 205 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 206 | C2×D3×D4 | C23 | 1 | 6 | yes | — |
| 207 | C2×D3×D4 | C23 | 1 | 3 | yes | — |
| 208 | C2×#235 | C23 | 1 | 3 | yes | — |
| 209 | C2×#235 | C23 | 1 | 12 | yes | — |
| 210 | C2×#235 | C23 | 1 | 6 | yes | — |
| 211 | C2×#235 | C23 | 1 | 6 | yes | — |
| 212 | C22×D12 | C23 | 1 | 6 | yes | — |
| 213 | C22×D12 | C23 | 1 | 12 | yes | — |
| 214 | C22×D12 | C23 | 1 | 6 | yes | — |
| 215 | C22×D12 | C23 | 1 | 6 | yes | — |
| 216 | C22×D12 | C23 | 1 | 3 | yes | — |
| 217 | C22×C4×D3 | C23 | 1 | 6 | yes | — |
| 218 | C22×C4×D3 | C23 | 1 | 6 | yes | — |
| 219 | C3×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 220 | C3×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 221 | C3×#127 | C23 | 1 | 3 | yes | — |
| 222 | C3×#126 | C23 | 1 | 6 | yes | — |
| 223 | C3×#125 | C23 | 1 | 3 | yes | — |
| 224 | C3×#124 | C23 | 1 | 3 | yes | — |
| 225 | C3×#124 | C23 | 1 | 6 | yes | — |
| 226 | C3×#124 | C23 | 1 | 6 | yes | — |
| 227 | C3×#123 | C23 | 1 | 12 | yes | — |
| 228 | C3×#123 | C23 | 1 | 6 | yes | — |
| 229 | C3×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 230 | C3×C22⋊Q8 | C23 | 1 | 12 | yes | — |
| 231 | C3×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 232 | C3×#121 | C23 | 1 | 6 | yes | — |
| 233 | C3×#121 | C23 | 1 | 3 | yes | — |
| 234 | C3×#121 | C23 | 1 | 6 | yes | — |
| 235 | C3×C4×Q8 | C23 | 1 | 3 | yes | — |
| 236 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 237 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 238 | C3×C4×Q8 | C23 | 1 | 3 | yes | — |
| 239 | C3×C4×Q8 | C23 | 1 | 3 | yes | — |
| 240 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 241 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 242 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 243 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 244 | C3×C4×D4 | C23 | 1 | 3 | yes | — |
| 245 | C3×C4×D4 | C23 | 1 | 6 | yes | — |
| 246 | C3×#117 | C23 | 1 | 6 | yes | — |
| 247 | C2×C3×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 248 | C2×C3×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 249 | C2×C3×C42 | C23 | 1 | 3 | yes | — |
| 250 | #947 | C23 | 1 | 6 | yes | — |
| 251 | #947 | C23 | 1 | 12 | yes | — |
| 252 | #947 | C23 | 1 | 6 | yes | — |
| 253 | #947 | C23 | 1 | 3 | yes | — |
| 254 | #947 | C23 | 1 | 3 | yes | — |
| 255 | #946 | C23 | 1 | 1 | yes | characteristic |
| 256 | #946 | C23 | 1 | 12 | yes | — |
| 257 | #946 | C23 | 1 | 3 | yes | — |
| 258 | #946 | C23 | 1 | 3 | yes | — |
| 259 | Q8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 260 | Q8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 261 | Q8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 262 | #944 | C23 | 1 | 3 | yes | — |
| 263 | #940 | C23 | 1 | 6 | yes | — |
| 264 | #940 | C23 | 1 | 6 | yes | — |
| 265 | #940 | C23 | 1 | 6 | yes | — |
| 266 | #940 | C23 | 1 | 6 | yes | — |
| 267 | #940 | C23 | 1 | 6 | yes | — |
| 268 | #940 | C23 | 1 | 3 | yes | — |
| 269 | #939 | C23 | 1 | 12 | yes | — |
| 270 | #939 | C23 | 1 | 6 | yes | — |
| 271 | #938 | C23 | 1 | 3 | yes | — |
| 272 | #938 | C23 | 1 | 6 | yes | — |
| 273 | #938 | C23 | 1 | 6 | yes | — |
| 274 | #937 | C23 | 1 | 12 | yes | — |
| 275 | #937 | C23 | 1 | 12 | yes | — |
| 276 | #937 | C23 | 1 | 6 | yes | — |
| 277 | D4×Dic3 | C23 | 1 | 6 | yes | — |
| 278 | D4×Dic3 | C23 | 1 | 3 | yes | — |
| 279 | #930 | C23 | 1 | 12 | yes | — |
| 280 | #930 | C23 | 1 | 12 | yes | — |
| 281 | #930 | C23 | 1 | 12 | yes | — |
| 282 | #930 | C23 | 1 | 3 | yes | — |
| 283 | #930 | C23 | 1 | 6 | yes | — |
| 284 | #930 | C23 | 1 | 6 | yes | — |
| 285 | #929 | C23 | 1 | 12 | yes | — |
| 286 | #929 | C23 | 1 | 6 | yes | — |
| 287 | C4×#67 | C23 | 1 | 1 | yes | characteristic |
| 288 | C4×#67 | C23 | 1 | 12 | yes | — |
| 289 | C4×#67 | C23 | 1 | 3 | yes | — |
| 290 | C4×#67 | C23 | 1 | 3 | yes | — |
| 291 | C4×#67 | C23 | 1 | 3 | yes | — |
| 292 | C4×#67 | C23 | 1 | 6 | yes | — |
| 293 | C4×#67 | C23 | 1 | 6 | yes | — |
| 294 | C2×(C2×D3)⋊C4 | C23 | 1 | 12 | yes | — |
| 295 | C2×(C2×D3)⋊C4 | C23 | 1 | 6 | yes | — |
| 296 | #926 | C23 | 1 | 3 | yes | — |
| 297 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 298 | #924 | C23 | 1 | 3 | yes | — |
| 299 | #898 | C23 | 1 | 6 | yes | — |
| 300 | #898 | C23 | 1 | 6 | yes | — |
| 301 | #898 | C23 | 1 | 6 | yes | — |
| 302 | #897 | C23 | 1 | 2 | yes | — |
| 303 | #897 | C23 | 1 | 6 | yes | — |
| 304 | #897 | C23 | 1 | 6 | yes | — |
| 305 | #897 | C23 | 1 | 3 | yes | — |
| 306 | #896 | C23 | 1 | 6 | yes | — |
| 307 | #896 | C23 | 1 | 6 | yes | — |
| 308 | #896 | C23 | 1 | 6 | yes | — |
| 309 | #895 | C23 | 1 | 12 | yes | — |
| 310 | #895 | C23 | 1 | 12 | yes | — |
| 311 | #895 | C23 | 1 | 12 | yes | — |
| 312 | #895 | C23 | 1 | 12 | yes | — |
| 313 | #895 | C23 | 1 | 6 | yes | — |
| 314 | #895 | C23 | 1 | 3 | yes | — |
| 315 | #895 | C23 | 1 | 3 | yes | — |
| 316 | #895 | C23 | 1 | 12 | yes | — |
| 317 | #895 | C23 | 1 | 6 | yes | — |
| 318 | #895 | C23 | 1 | 6 | yes | — |
| 319 | #895 | C23 | 1 | 6 | yes | — |
| 320 | #895 | C23 | 1 | 6 | yes | — |
| 321 | #895 | C23 | 1 | 6 | yes | — |
| 322 | #895 | C23 | 1 | 6 | yes | — |
| 323 | #895 | C23 | 1 | 6 | yes | — |
| 324 | #895 | C23 | 1 | 3 | yes | — |
| 325 | #895 | C23 | 1 | 6 | yes | — |
| 326 | #895 | C23 | 1 | 6 | yes | — |
| 327 | #894 | C23 | 1 | 6 | yes | — |
| 328 | #894 | C23 | 1 | 12 | yes | — |
| 329 | #894 | C23 | 1 | 12 | yes | — |
| 330 | #894 | C23 | 1 | 6 | yes | — |
| 331 | #894 | C23 | 1 | 6 | yes | — |
| 332 | #894 | C23 | 1 | 12 | yes | — |
| 333 | #894 | C23 | 1 | 6 | yes | — |
| 334 | #893 | C23 | 1 | 6 | yes | — |
| 335 | #893 | C23 | 1 | 3 | yes | — |
| 336 | #893 | C23 | 1 | 3 | yes | — |
| 337 | #893 | C23 | 1 | 6 | yes | — |
| 338 | #893 | C23 | 1 | 6 | yes | — |
| 339 | #893 | C23 | 1 | 6 | yes | — |
| 340 | #893 | C23 | 1 | 3 | yes | — |
| 341 | #893 | C23 | 1 | 6 | yes | — |
| 342 | #892 | C23 | 1 | 6 | yes | — |
| 343 | #892 | C23 | 1 | 3 | yes | — |
| 344 | #892 | C23 | 1 | 3 | yes | — |
| 345 | #892 | C23 | 1 | 6 | yes | — |
| 346 | D3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 347 | D3×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 348 | D3×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 349 | D3×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 350 | #890 | C23 | 1 | 3 | yes | — |
| 351 | #890 | C23 | 1 | 3 | yes | — |
| 352 | #889 | C23 | 1 | 2 | yes | — |
| 353 | #889 | C23 | 1 | 6 | yes | — |
| 354 | #888 | C23 | 1 | 1 | yes | characteristic |
| 355 | #888 | C23 | 1 | 3 | yes | — |
| 356 | #887 | C23 | 1 | 3 | yes | — |
| 357 | #886 | C23 | 1 | 6 | yes | — |
| 358 | #886 | C23 | 1 | 6 | yes | — |
| 359 | #885 | C23 | 1 | 6 | yes | — |
| 360 | #885 | C23 | 1 | 6 | yes | — |
| 361 | #884 | C23 | 1 | 12 | yes | — |
| 362 | #884 | C23 | 1 | 12 | yes | — |
| 363 | #884 | C23 | 1 | 12 | yes | — |
| 364 | #884 | C23 | 1 | 12 | yes | — |
| 365 | #884 | C23 | 1 | 12 | yes | — |
| 366 | #884 | C23 | 1 | 6 | yes | — |
| 367 | #884 | C23 | 1 | 12 | yes | — |
| 368 | #884 | C23 | 1 | 6 | yes | — |
| 369 | #884 | C23 | 1 | 6 | yes | — |
| 370 | #884 | C23 | 1 | 12 | yes | — |
| 371 | #883 | C23 | 1 | 12 | yes | — |
| 372 | #883 | C23 | 1 | 6 | yes | — |
| 373 | #883 | C23 | 1 | 6 | yes | — |
| 374 | #882 | C23 | 1 | 12 | yes | — |
| 375 | #882 | C23 | 1 | 12 | yes | — |
| 376 | #882 | C23 | 1 | 6 | yes | — |
| 377 | #882 | C23 | 1 | 6 | yes | — |
| 378 | #882 | C23 | 1 | 12 | yes | — |
| 379 | #882 | C23 | 1 | 12 | yes | — |
| 380 | #882 | C23 | 1 | 12 | yes | — |
| 381 | #882 | C23 | 1 | 6 | yes | — |
| 382 | #882 | C23 | 1 | 12 | yes | — |
| 383 | #67⋊C4 | C23 | 1 | 2 | yes | — |
| 384 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 385 | #67⋊C4 | C23 | 1 | 12 | yes | — |
| 386 | #67⋊C4 | C23 | 1 | 6 | yes | — |
| 387 | D3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 388 | D3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 389 | D3×C22⋊C4 | C23 | 1 | 12 | yes | — |
| 390 | D3×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 391 | #879 | C23 | 1 | 6 | yes | — |
| 392 | #878 | C23 | 1 | 2 | yes | — |
| 393 | #876 | C23 | 1 | 6 | yes | — |
| 394 | #875 | C23 | 1 | 6 | yes | — |
| 395 | #875 | C23 | 1 | 3 | yes | — |
| 396 | #874 | C23 | 1 | 6 | yes | — |
| 397 | #874 | C23 | 1 | 6 | yes | — |
| 398 | #874 | C23 | 1 | 6 | yes | — |
| 399 | #874 | C23 | 1 | 3 | yes | — |
| 400 | #874 | C23 | 1 | 3 | yes | — |
| 401 | #874 | C23 | 1 | 6 | yes | — |
| 402 | C4×D12 | C23 | 1 | 3 | yes | — |
| 403 | C4×D12 | C23 | 1 | 3 | yes | — |
| 404 | C4×D12 | C23 | 1 | 6 | yes | — |
| 405 | C4×D12 | C23 | 1 | 6 | yes | — |
| 406 | C4×D12 | C23 | 1 | 6 | yes | — |
| 407 | C4×D12 | C23 | 1 | 6 | yes | — |
| 408 | C4×D12 | C23 | 1 | 6 | yes | — |
| 409 | C4×D12 | C23 | 1 | 3 | yes | — |
| 410 | C4×D12 | C23 | 1 | 3 | yes | — |
| 411 | C4×D12 | C23 | 1 | 3 | yes | — |
| 412 | C4×D12 | C23 | 1 | 3 | yes | — |
| 413 | C4×D12 | C23 | 1 | 6 | yes | — |
| 414 | C4×D12 | C23 | 1 | 3 | yes | — |
| 415 | #872 | C23 | 1 | 3 | yes | — |
| 416 | #872 | C23 | 1 | 3 | yes | — |
| 417 | #872 | C23 | 1 | 6 | yes | — |
| 418 | #872 | C23 | 1 | 6 | yes | — |
| 419 | C42×D3 | C23 | 1 | 6 | yes | — |
| 420 | C42×D3 | C23 | 1 | 3 | yes | — |
| 421 | C42×D3 | C23 | 1 | 3 | yes | — |
| 422 | #870 | C23 | 1 | 3 | yes | — |
| 423 | C4×Dic6 | C23 | 1 | 3 | yes | — |
| 424 | C4×Dic6 | C23 | 1 | 3 | yes | — |
| 425 | C4×Dic6 | C23 | 1 | 3 | yes | — |
| 426 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 427 | C2×H(5,𝔽2) | — | 3 | 6 | no | — |
| 428 | C22×#41 | — | 3 | 2 | no | — |
| 429 | C22×#41 | — | 3 | 2 | no | — |
| 430 | #562 | — | 3 | 12 | no | — |
| 431 | #560 | — | 3 | 12 | no | — |
| 432 | #560 | — | 3 | 12 | no | — |
| 433 | #559 | — | 3 | 3 | no | — |
| 434 | #559 | — | 3 | 3 | no | — |
| 435 | #559 | C2×D3 | 1 | 3 | yes | complemented |
| 436 | Q82 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 437 | #557 | — | 3 | 1 | no | — |
| 438 | #556 | — | 3 | 3 | no | — |
| 439 | #555 | — | 3 | 3 | no | — |
| 440 | #555 | — | 3 | 6 | no | — |
| 441 | #554 | — | 3 | 3 | no | — |
| 442 | #554 | — | 3 | 3 | no | — |
| 443 | #554 | — | 3 | 1 | no | — |
| 444 | #554 | C2×D3 | 1 | 3 | yes | complemented |
| 445 | #553 | — | 3 | 6 | no | — |
| 446 | #553 | — | 3 | 3 | no | — |
| 447 | #553 | — | 3 | 3 | no | — |
| 448 | #553 | — | 3 | 6 | no | — |
| 449 | #553 | — | 3 | 6 | no | — |
| 450 | #552 | — | 3 | 3 | no | — |
| 451 | #552 | — | 3 | 3 | no | — |
| 452 | #551 | — | 3 | 6 | no | — |
| 453 | #551 | — | 3 | 6 | no | — |
| 454 | #550 | — | 3 | 2 | no | — |
| 455 | #550 | — | 3 | 2 | no | — |
| 456 | #550 | — | 3 | 3 | no | — |
| 457 | #550 | — | 3 | 6 | no | — |
| 458 | #550 | — | 3 | 1 | no | — |
| 459 | #550 | — | 3 | 2 | no | — |
| 460 | #550 | — | 3 | 1 | no | — |
| 461 | #550 | — | 3 | 3 | no | — |
| 462 | #550 | — | 3 | 6 | no | — |
| 463 | #550 | — | 3 | 3 | no | — |
| 464 | #550 | — | 3 | 2 | no | — |
| 465 | #550 | — | 3 | 3 | no | — |
| 466 | #550 | — | 3 | 3 | no | — |
| 467 | #550 | — | 3 | 6 | no | — |
| 468 | #550 | — | 3 | 6 | no | — |
| 469 | #550 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 470 | D4×Q8 | — | 3 | 1 | no | — |
| 471 | #548 | — | 3 | 1 | no | — |
| 472 | #548 | — | 3 | 2 | no | — |
| 473 | #548 | — | 3 | 1 | no | — |
| 474 | #548 | C2×D3 | 1 | 2 | yes | complemented |
| 475 | #547 | — | 3 | 6 | no | — |
| 476 | #547 | — | 3 | 6 | no | — |
| 477 | #547 | — | 3 | 3 | no | — |
| 478 | #547 | — | 3 | 6 | no | — |
| 479 | #547 | C2×D3 | 1 | 6 | yes | complemented |
| 480 | #546 | — | 3 | 12 | no | — |
| 481 | #546 | — | 3 | 6 | no | — |
| 482 | #546 | — | 3 | 3 | no | — |
| 483 | #546 | — | 3 | 6 | no | — |
| 484 | #546 | — | 3 | 6 | no | — |
| 485 | #546 | — | 3 | 12 | no | — |
| 486 | #546 | — | 3 | 3 | no | — |
| 487 | #546 | — | 3 | 6 | no | — |
| 488 | #546 | — | 3 | 12 | no | — |
| 489 | #546 | — | 3 | 6 | no | — |
| 490 | #546 | — | 3 | 6 | no | — |
| 491 | #546 | — | 3 | 6 | no | — |
| 492 | D42 | — | 3 | 3 | no | — |
| 493 | D42 | — | 3 | 6 | no | — |
| 494 | D42 | — | 3 | 3 | no | — |
| 495 | D42 | — | 3 | 6 | no | — |
| 496 | D42 | — | 3 | 6 | no | — |
| 497 | D42 | — | 3 | 6 | no | — |
| 498 | D42 | — | 3 | 6 | no | — |
| 499 | D42 | — | 3 | 6 | no | — |
| 500 | D42 | — | 3 | 6 | no | — |
| 501 | D42 | — | 3 | 6 | no | — |
| 502 | D42 | — | 3 | 3 | no | — |
| 503 | #542 | — | 3 | 6 | no | — |
| 504 | #542 | C2×D3 | 1 | 6 | yes | complemented |
| 505 | #540 | — | 3 | 6 | no | — |
| 506 | #540 | — | 3 | 12 | no | — |
| 507 | #540 | — | 3 | 6 | no | — |
| 508 | #540 | — | 3 | 6 | no | — |
| 509 | #540 | — | 3 | 6 | no | — |
| 510 | #538 | — | 3 | 12 | no | — |
| 511 | #538 | — | 3 | 12 | no | — |
| 512 | #537 | — | 3 | 6 | no | — |
| 513 | #537 | — | 3 | 12 | no | — |
| 514 | #537 | — | 3 | 6 | no | — |
| 515 | #535 | — | 3 | 6 | no | — |
| 516 | #535 | — | 3 | 6 | no | — |
| 517 | #535 | — | 3 | 6 | no | — |
| 518 | #535 | — | 3 | 6 | no | — |
| 519 | #535 | — | 3 | 6 | no | — |
| 520 | #535 | — | 3 | 6 | no | — |
| 521 | #535 | — | 3 | 6 | no | — |
| 522 | #534 | — | 3 | 12 | no | — |
| 523 | #534 | — | 3 | 12 | no | — |
| 524 | #533 | — | 3 | 3 | no | — |
| 525 | #532 | — | 3 | 6 | no | — |
| 526 | #532 | — | 3 | 3 | no | — |
| 527 | #532 | — | 3 | 3 | no | — |
| 528 | #532 | — | 3 | 6 | no | — |
| 529 | #532 | — | 3 | 3 | no | — |
| 530 | #532 | — | 3 | 6 | no | — |
| 531 | #532 | C2×D3 | 1 | 3 | yes | complemented |
| 532 | C2×#127 | — | 3 | 3 | no | — |
| 533 | C2×#127 | — | 3 | 3 | no | — |
| 534 | C2×#127 | — | 3 | 3 | no | — |
| 535 | #529 | — | 3 | 3 | no | — |
| 536 | #529 | — | 3 | 3 | no | — |
| 537 | #529 | — | 3 | 6 | no | — |
| 538 | #529 | — | 3 | 3 | no | — |
| 539 | #529 | C2×D3 | 1 | 3 | yes | complemented |
| 540 | #525 | — | 3 | 6 | no | — |
| 541 | #525 | — | 3 | 6 | no | — |
| 542 | #525 | — | 3 | 6 | no | — |
| 543 | #525 | — | 3 | 6 | no | — |
| 544 | C2×#121 | — | 3 | 6 | no | — |
| 545 | C2×#121 | — | 3 | 6 | no | — |
| 546 | C2×#121 | — | 3 | 6 | no | — |
| 547 | C2×#121 | — | 3 | 6 | no | — |
| 548 | #520 | — | 3 | 2 | no | — |
| 549 | #520 | C2×D3 | 1 | 2 | yes | complemented |
| 550 | #518 | — | 3 | 6 | no | — |
| 551 | C4×#41 | — | 3 | 2 | no | — |
| 552 | C4×#41 | — | 3 | 3 | no | — |
| 553 | C4×#41 | — | 3 | 1 | no | — |
| 554 | C4×#41 | — | 3 | 3 | no | — |
| 555 | C2×C4×Q8 | — | 3 | 1 | no | — |
| 556 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 557 | C2×C4×D4 | — | 3 | 3 | no | — |
| 558 | C2×C4×D4 | — | 3 | 6 | no | — |
| 559 | C2×C4×D4 | — | 3 | 3 | no | — |
| 560 | C23×D3 | C24 | 1 | 6 | yes | — |
| 561 | C23×D3 | C24 | 1 | 6 | yes | — |
| 562 | C23×D3 | C24 | 1 | 12 | yes | — |
| 563 | C3×#41 | — | 2 | 8 | no | — |
| 564 | C3×#41 | — | 4 | 12 | no | — |
| 565 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 566 | C2×C3×Q8 | C24 | 1 | 3 | yes | — |
| 567 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 568 | C2×C3×Q8 | C24 | 1 | 6 | yes | — |
| 569 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 570 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 571 | C2×C3×D4 | C24 | 1 | 3 | yes | — |
| 572 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 573 | C2×C3×D4 | C24 | 1 | 6 | yes | — |
| 574 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 575 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 576 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 577 | C22×C3×C4 | C24 | 1 | 6 | yes | — |
| 578 | C22×C3×C4 | C24 | 1 | 12 | yes | — |
| 579 | C2×#67 | C24 | 1 | 6 | yes | — |
| 580 | C2×#67 | C24 | 1 | 3 | yes | — |
| 581 | C2×#67 | C24 | 1 | 6 | yes | — |
| 582 | C2×#67 | C24 | 1 | 12 | yes | — |
| 583 | C2×#67 | C24 | 1 | 12 | yes | — |
| 584 | C2×#67 | C24 | 1 | 6 | yes | — |
| 585 | C2×#67 | C24 | 1 | 12 | yes | — |
| 586 | C2×#67 | C24 | 1 | 6 | yes | — |
| 587 | C2×#67 | C24 | 1 | 1 | yes | characteristic |
| 588 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 589 | C22×Dic3 | C24 | 1 | 6 | yes | — |
| 590 | #239 | — | 2 | 8 | no | — |
| 591 | #239 | — | 2 | 8 | no | — |
| 592 | #239 | — | 2 | 4 | no | — |
| 593 | #239 | — | 4 | 12 | no | — |
| 594 | #239 | — | 4 | 12 | no | — |
| 595 | #239 | — | 4 | 12 | no | — |
| 596 | #239 | — | 4 | 12 | no | — |
| 597 | #239 | — | 4 | 6 | no | — |
| 598 | D3×Q8 | — | 2 | 4 | no | — |
| 599 | #237 | — | 4 | 12 | no | — |
| 600 | D3×D4 | — | 2 | 24 | no | — |
| 601 | D3×D4 | — | 4 | 6 | no | — |
| 602 | D3×D4 | — | 4 | 12 | no | — |
| 603 | D3×D4 | — | 4 | 12 | no | — |
| 604 | D3×D4 | — | 4 | 12 | no | — |
| 605 | D3×D4 | — | 4 | 12 | no | — |
| 606 | D3×D4 | — | 4 | 12 | no | — |
| 607 | D3×D4 | — | 4 | 12 | no | — |
| 608 | D3×D4 | — | 4 | 24 | no | — |
| 609 | #235 | — | 2 | 12 | no | — |
| 610 | #235 | — | 4 | 24 | no | — |
| 611 | #235 | — | 4 | 12 | no | — |
| 612 | #235 | — | 4 | 12 | no | — |
| 613 | C2×D12 | — | 4 | 6 | no | — |
| 614 | C2×D12 | — | 4 | 12 | no | — |
| 615 | C2×D12 | — | 4 | 12 | no | — |
| 616 | C2×D12 | — | 4 | 24 | no | — |
| 617 | C2×D12 | — | 4 | 12 | no | — |
| 618 | C2×D12 | C24 | 1 | 3 | yes | — |
| 619 | C2×D12 | C24 | 1 | 3 | yes | — |
| 620 | C2×D12 | C24 | 1 | 3 | yes | — |
| 621 | C2×D12 | C24 | 1 | 6 | yes | — |
| 622 | C2×D12 | C24 | 1 | 6 | yes | — |
| 623 | C2×D12 | C24 | 1 | 3 | yes | — |
| 624 | C2×D12 | C24 | 1 | 6 | yes | — |
| 625 | C2×D12 | C24 | 1 | 6 | yes | — |
| 626 | C2×D12 | C24 | 1 | 6 | yes | — |
| 627 | C2×D12 | C24 | 1 | 12 | yes | — |
| 628 | C2×D12 | C24 | 1 | 6 | yes | — |
| 629 | C2×D12 | C24 | 1 | 12 | yes | — |
| 630 | C2×D12 | C24 | 1 | 6 | yes | — |
| 631 | C2×D12 | C24 | 1 | 12 | yes | — |
| 632 | C2×D12 | C24 | 1 | 6 | yes | — |
| 633 | C2×C4×D3 | — | 4 | 12 | no | — |
| 634 | C2×C4×D3 | — | 4 | 12 | no | — |
| 635 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 636 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 637 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 638 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 639 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 640 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 641 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 642 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 643 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 644 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 645 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 646 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 647 | C2×C4×D3 | C24 | 1 | 12 | yes | — |
| 648 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 649 | C2×C4×D3 | C24 | 1 | 6 | yes | — |
| 650 | C2×Dic6 | C24 | 1 | 3 | yes | — |
| 651 | C2×Dic6 | C24 | 1 | 3 | yes | — |
| 652 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 653 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 654 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 655 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 656 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 657 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 658 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 659 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 660 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 661 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 662 | C3×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 663 | C3×C22⋊C4 | C24 | 1 | 2 | yes | — |
| 664 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 665 | C3×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 666 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 667 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 668 | C3×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 669 | C3×C42 | C24 | 1 | 3 | yes | — |
| 670 | C3×C42 | C24 | 1 | 3 | yes | — |
| 671 | C3×C42 | C24 | 1 | 3 | yes | — |
| 672 | C3×C42 | C24 | 1 | 6 | yes | — |
| 673 | C3×C42 | C24 | 1 | 3 | yes | — |
| 674 | #217 | C24 | 1 | 1 | yes | characteristic |
| 675 | #217 | C24 | 1 | 6 | yes | — |
| 676 | #217 | C24 | 1 | 6 | yes | — |
| 677 | #217 | C24 | 1 | 3 | yes | — |
| 678 | (C2×D3)⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 679 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 680 | (C2×D3)⋊C4 | C24 | 1 | 3 | yes | — |
| 681 | (C2×D3)⋊C4 | C24 | 1 | 3 | yes | — |
| 682 | (C2×D3)⋊C4 | C24 | 1 | 3 | yes | — |
| 683 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 684 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 685 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 686 | (C2×D3)⋊C4 | C24 | 1 | 2 | yes | — |
| 687 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 688 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 689 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 690 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 691 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 692 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 693 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 694 | (C2×D3)⋊C4 | C24 | 1 | 12 | yes | — |
| 695 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 696 | (C2×D3)⋊C4 | C24 | 1 | 12 | yes | — |
| 697 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 698 | (C2×D3)⋊C4 | C24 | 1 | 6 | yes | — |
| 699 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 700 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 701 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 702 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 703 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 704 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 705 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 706 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 707 | C4⋊Dic3 | C24 | 1 | 6 | yes | — |
| 708 | Dic3⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 709 | Dic3⋊C4 | C24 | 1 | 3 | yes | — |
| 710 | Dic3⋊C4 | C24 | 1 | 3 | yes | — |
| 711 | Dic3⋊C4 | C24 | 1 | 3 | yes | — |
| 712 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 713 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 714 | Dic3⋊C4 | C24 | 1 | 2 | yes | — |
| 715 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 716 | Dic3⋊C4 | C24 | 1 | 6 | yes | — |
| 717 | Dic3⋊C4 | C24 | 1 | 2 | yes | — |
| 718 | Dic3⋊C4 | C24 | 1 | 2 | yes | — |
| 719 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 720 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 721 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 722 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 723 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 724 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 725 | C4×Dic3 | C24 | 1 | 3 | yes | — |
| 726 | C4×Dic3 | C24 | 1 | 6 | yes | — |
| 727 | H(5,𝔽2) | — | 12 | 24 | no | — |
| 728 | H(5,𝔽2) | — | 12 | 8 | no | — |
| 729 | C2×#41 | — | 3 | 1 | no | — |
| 730 | C2×#41 | — | 3 | 2 | no | — |
| 731 | C2×#41 | — | 3 | 2 | no | — |
| 732 | C2×#41 | — | 3 | 3 | no | — |
| 733 | C2×#41 | — | 3 | 6 | no | — |
| 734 | C2×#41 | — | 3 | 6 | no | — |
| 735 | C2×#41 | — | 3 | 6 | no | — |
| 736 | C2×#41 | — | 3 | 6 | no | — |
| 737 | C2×#41 | — | 3 | 6 | no | — |
| 738 | C2×#41 | — | 3 | 3 | no | — |
| 739 | C2×#41 | — | 3 | 6 | no | — |
| 740 | C2×#41 | — | 3 | 12 | no | — |
| 741 | C2×#41 | — | 3 | 6 | no | — |
| 742 | C2×#41 | — | 12 | 8 | no | — |
| 743 | C2×#41 | — | 12 | 8 | no | — |
| 744 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 745 | C2×#41 | C22×D3 | 1 | 6 | yes | — |
| 746 | C22×Q8 | — | 3 | 1 | no | — |
| 747 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 748 | C22×D4 | — | 3 | 6 | no | — |
| 749 | C22×D4 | — | 3 | 3 | no | — |
| 750 | C22×D4 | — | 3 | 6 | no | — |
| 751 | C22×D4 | — | 3 | 6 | no | — |
| 752 | C22×D4 | — | 3 | 6 | no | — |
| 753 | C22×D4 | — | 3 | 12 | no | — |
| 754 | C22×D4 | — | 3 | 6 | no | — |
| 755 | C22×D4 | — | 3 | 6 | no | — |
| 756 | C22×D4 | — | 3 | 6 | no | — |
| 757 | C22×D4 | — | 3 | 3 | no | — |
| 758 | C22×D4 | — | 3 | 6 | no | — |
| 759 | C22×D4 | — | 3 | 6 | no | — |
| 760 | C22×D4 | — | 3 | 12 | no | — |
| 761 | C22×D4 | — | 3 | 6 | no | — |
| 762 | C23×C4 | — | 3 | 6 | no | — |
| 763 | C23×C4 | — | 3 | 6 | no | — |
| 764 | C4⋊Q8 | — | 3 | 3 | no | — |
| 765 | C4⋊Q8 | — | 3 | 1 | no | — |
| 766 | C4⋊Q8 | — | 3 | 3 | no | — |
| 767 | C4⋊Q8 | C22×D3 | 1 | 3 | yes | — |
| 768 | C4⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 769 | #127 | — | 3 | 3 | no | — |
| 770 | #127 | — | 3 | 6 | no | — |
| 771 | #127 | — | 3 | 6 | no | — |
| 772 | #127 | — | 3 | 6 | no | — |
| 773 | #127 | — | 3 | 6 | no | — |
| 774 | #127 | — | 3 | 6 | no | — |
| 775 | #127 | — | 3 | 3 | no | — |
| 776 | #127 | — | 3 | 3 | no | — |
| 777 | #127 | — | 3 | 6 | no | — |
| 778 | #127 | — | 3 | 6 | no | — |
| 779 | #127 | — | 3 | 6 | no | — |
| 780 | #127 | — | 3 | 6 | no | — |
| 781 | #127 | C22×D3 | 1 | 3 | yes | — |
| 782 | #126 | — | 3 | 6 | no | — |
| 783 | #126 | — | 3 | 6 | no | — |
| 784 | #126 | — | 3 | 6 | no | — |
| 785 | #126 | — | 3 | 6 | no | — |
| 786 | #126 | — | 3 | 6 | no | — |
| 787 | #126 | C22×D3 | 1 | 6 | yes | — |
| 788 | #125 | — | 3 | 2 | no | — |
| 789 | #125 | — | 3 | 3 | no | — |
| 790 | #125 | — | 3 | 3 | no | — |
| 791 | #125 | — | 3 | 6 | no | — |
| 792 | #125 | — | 3 | 3 | no | — |
| 793 | #125 | C22×D3 | 1 | 3 | yes | — |
| 794 | #124 | — | 3 | 3 | no | — |
| 795 | #124 | — | 3 | 3 | no | — |
| 796 | #124 | — | 3 | 6 | no | — |
| 797 | #124 | — | 3 | 6 | no | — |
| 798 | #124 | — | 3 | 12 | no | — |
| 799 | #124 | — | 3 | 6 | no | — |
| 800 | #124 | — | 3 | 6 | no | — |
| 801 | #124 | — | 3 | 3 | no | — |
| 802 | #124 | — | 3 | 6 | no | — |
| 803 | #124 | C22×D3 | 1 | 3 | yes | — |
| 804 | #124 | C22×D3 | 1 | 6 | yes | — |
| 805 | #124 | C22×D3 | 1 | 6 | yes | — |
| 806 | #123 | — | 3 | 6 | no | — |
| 807 | #123 | — | 3 | 12 | no | — |
| 808 | #123 | — | 3 | 6 | no | — |
| 809 | #123 | — | 3 | 12 | no | — |
| 810 | #123 | — | 3 | 6 | no | — |
| 811 | #123 | — | 3 | 6 | no | — |
| 812 | #123 | — | 3 | 6 | no | — |
| 813 | #123 | — | 3 | 12 | no | — |
| 814 | #123 | — | 3 | 12 | no | — |
| 815 | #123 | — | 3 | 6 | no | — |
| 816 | #123 | — | 3 | 12 | no | — |
| 817 | #123 | — | 3 | 6 | no | — |
| 818 | #123 | — | 3 | 6 | no | — |
| 819 | #123 | — | 3 | 6 | no | — |
| 820 | #123 | C22×D3 | 1 | 6 | yes | — |
| 821 | #123 | C22×D3 | 1 | 12 | yes | — |
| 822 | C22⋊Q8 | — | 3 | 3 | no | — |
| 823 | C22⋊Q8 | — | 3 | 1 | no | — |
| 824 | C22⋊Q8 | — | 3 | 3 | no | — |
| 825 | C22⋊Q8 | — | 3 | 12 | no | — |
| 826 | C22⋊Q8 | — | 3 | 3 | no | — |
| 827 | C22⋊Q8 | — | 3 | 2 | no | — |
| 828 | C22⋊Q8 | — | 3 | 6 | no | — |
| 829 | C22⋊Q8 | — | 3 | 6 | no | — |
| 830 | C22⋊Q8 | — | 3 | 6 | no | — |
| 831 | C22⋊Q8 | — | 3 | 6 | no | — |
| 832 | C22⋊Q8 | — | 3 | 6 | no | — |
| 833 | C22⋊Q8 | — | 3 | 3 | no | — |
| 834 | C22⋊Q8 | — | 3 | 2 | no | — |
| 835 | C22⋊Q8 | C22×D3 | 1 | 6 | yes | — |
| 836 | C22⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 837 | C22⋊Q8 | C22×D3 | 1 | 12 | yes | — |
| 838 | #121 | — | 3 | 6 | no | — |
| 839 | #121 | — | 3 | 6 | no | — |
| 840 | #121 | — | 3 | 12 | no | — |
| 841 | #121 | — | 3 | 6 | no | — |
| 842 | #121 | — | 3 | 3 | no | — |
| 843 | #121 | — | 3 | 3 | no | — |
| 844 | #121 | — | 3 | 6 | no | — |
| 845 | #121 | — | 3 | 6 | no | — |
| 846 | #121 | — | 3 | 12 | no | — |
| 847 | #121 | — | 3 | 12 | no | — |
| 848 | #121 | — | 3 | 12 | no | — |
| 849 | #121 | — | 3 | 6 | no | — |
| 850 | #121 | — | 3 | 3 | no | — |
| 851 | #121 | — | 3 | 6 | no | — |
| 852 | #121 | — | 3 | 6 | no | — |
| 853 | #121 | — | 3 | 6 | no | — |
| 854 | #121 | — | 3 | 6 | no | — |
| 855 | #121 | — | 3 | 12 | no | — |
| 856 | #121 | — | 3 | 12 | no | — |
| 857 | #121 | — | 3 | 6 | no | — |
| 858 | #121 | — | 3 | 6 | no | — |
| 859 | #121 | — | 3 | 12 | no | — |
| 860 | #121 | — | 3 | 6 | no | — |
| 861 | #121 | — | 3 | 3 | no | — |
| 862 | #121 | — | 3 | 12 | no | — |
| 863 | #121 | — | 3 | 6 | no | — |
| 864 | #121 | — | 3 | 3 | no | — |
| 865 | #121 | — | 3 | 6 | no | — |
| 866 | #121 | — | 3 | 12 | no | — |
| 867 | #121 | — | 3 | 12 | no | — |
| 868 | #121 | — | 3 | 12 | no | — |
| 869 | #121 | — | 3 | 6 | no | — |
| 870 | #121 | — | 3 | 6 | no | — |
| 871 | #121 | — | 3 | 12 | no | — |
| 872 | #121 | — | 3 | 12 | no | — |
| 873 | #121 | — | 3 | 12 | no | — |
| 874 | #121 | — | 3 | 6 | no | — |
| 875 | #121 | — | 3 | 12 | no | — |
| 876 | #121 | — | 3 | 12 | no | — |
| 877 | #121 | C22×D3 | 1 | 6 | yes | — |
| 878 | #121 | C22×D3 | 1 | 6 | yes | — |
| 879 | #121 | C22×D3 | 1 | 3 | yes | — |
| 880 | #120 | — | 3 | 12 | no | — |
| 881 | #120 | — | 3 | 6 | no | — |
| 882 | #120 | — | 3 | 12 | no | — |
| 883 | #120 | — | 3 | 6 | no | — |
| 884 | #120 | — | 3 | 6 | no | — |
| 885 | #120 | — | 3 | 12 | no | — |
| 886 | #120 | — | 3 | 6 | no | — |
| 887 | #120 | — | 3 | 12 | no | — |
| 888 | #120 | — | 3 | 12 | no | — |
| 889 | #120 | — | 3 | 12 | no | — |
| 890 | #120 | — | 3 | 12 | no | — |
| 891 | #120 | — | 3 | 12 | no | — |
| 892 | C4×Q8 | — | 3 | 1 | no | — |
| 893 | C4×Q8 | — | 3 | 1 | no | — |
| 894 | C4×Q8 | — | 3 | 1 | no | — |
| 895 | C4×Q8 | — | 3 | 3 | no | — |
| 896 | C4×Q8 | — | 3 | 3 | no | — |
| 897 | C4×Q8 | — | 3 | 3 | no | — |
| 898 | C4×Q8 | — | 3 | 3 | no | — |
| 899 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 900 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 901 | C4×Q8 | C22×D3 | 1 | 3 | yes | — |
| 902 | C4×Q8 | C22×D3 | 1 | 3 | yes | — |
| 903 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 904 | C4×Q8 | C22×D3 | 1 | 3 | yes | — |
| 905 | C4×D4 | — | 3 | 3 | no | — |
| 906 | C4×D4 | — | 3 | 6 | no | — |
| 907 | C4×D4 | — | 3 | 3 | no | — |
| 908 | C4×D4 | — | 3 | 6 | no | — |
| 909 | C4×D4 | — | 3 | 6 | no | — |
| 910 | C4×D4 | — | 3 | 1 | no | — |
| 911 | C4×D4 | — | 3 | 3 | no | — |
| 912 | C4×D4 | — | 3 | 3 | no | — |
| 913 | C4×D4 | — | 3 | 12 | no | — |
| 914 | C4×D4 | — | 3 | 6 | no | — |
| 915 | C4×D4 | — | 3 | 3 | no | — |
| 916 | C4×D4 | — | 3 | 3 | no | — |
| 917 | C4×D4 | — | 3 | 6 | no | — |
| 918 | C4×D4 | — | 3 | 3 | no | — |
| 919 | C4×D4 | — | 3 | 6 | no | — |
| 920 | C4×D4 | — | 3 | 6 | no | — |
| 921 | C4×D4 | — | 3 | 6 | no | — |
| 922 | C4×D4 | — | 3 | 2 | no | — |
| 923 | C4×D4 | — | 3 | 6 | no | — |
| 924 | C4×D4 | — | 3 | 6 | no | — |
| 925 | C4×D4 | — | 3 | 12 | no | — |
| 926 | C4×D4 | — | 3 | 3 | no | — |
| 927 | C4×D4 | — | 3 | 3 | no | — |
| 928 | C4×D4 | — | 3 | 6 | no | — |
| 929 | C4×D4 | — | 3 | 6 | no | — |
| 930 | C4×D4 | — | 3 | 3 | no | — |
| 931 | C4×D4 | — | 3 | 6 | no | — |
| 932 | C4×D4 | — | 3 | 3 | no | — |
| 933 | C4×D4 | — | 3 | 3 | no | — |
| 934 | C4×D4 | — | 3 | 6 | no | — |
| 935 | C4×D4 | — | 3 | 3 | no | — |
| 936 | C4×D4 | — | 3 | 3 | no | — |
| 937 | C4×D4 | — | 3 | 6 | no | — |
| 938 | C4×D4 | — | 3 | 6 | no | — |
| 939 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 940 | C4×D4 | C22×D3 | 1 | 3 | yes | — |
| 941 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 942 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 943 | C4×D4 | C22×D3 | 1 | 6 | yes | — |
| 944 | #117 | — | 3 | 3 | no | — |
| 945 | #117 | — | 3 | 3 | no | — |
| 946 | #117 | — | 3 | 6 | no | — |
| 947 | #117 | — | 3 | 3 | no | — |
| 948 | #117 | — | 3 | 6 | no | — |
| 949 | #117 | — | 3 | 3 | no | — |
| 950 | #117 | — | 3 | 3 | no | — |
| 951 | #117 | — | 3 | 6 | no | — |
| 952 | #117 | — | 3 | 6 | no | — |
| 953 | #117 | C22×D3 | 1 | 6 | yes | — |
| 954 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 955 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 956 | C2×C4⋊C4 | — | 3 | 6 | no | — |
| 957 | C2×C4⋊C4 | — | 3 | 3 | no | — |
| 958 | C2×C4⋊C4 | — | 3 | 6 | no | — |
| 959 | C2×C4⋊C4 | C22×D3 | 1 | 3 | yes | — |
| 960 | C2×C4⋊C4 | C22×D3 | 1 | 6 | yes | — |
| 961 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 962 | C2×C22⋊C4 | — | 3 | 12 | no | — |
| 963 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 964 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 965 | C2×C22⋊C4 | — | 3 | 6 | no | — |
| 966 | C2×C22⋊C4 | — | 3 | 12 | no | — |
| 967 | C2×C42 | — | 3 | 3 | no | — |
| 968 | C2×C42 | — | 3 | 6 | no | — |
| 969 | C2×C42 | — | 3 | 3 | no | — |
| 970 | C2×C42 | C22×D3 | 1 | 3 | yes | — |
| 971 | C23×C3 | C25 | 1 | 6 | yes | — |
| 972 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 973 | C22×D3 | — | 2 | 12 | no | — |
| 974 | C22×D3 | — | 2 | 12 | no | — |
| 975 | C22×D3 | — | 4 | 6 | no | — |
| 976 | C22×D3 | — | 4 | 6 | no | — |
| 977 | C22×D3 | — | 4 | 6 | no | — |
| 978 | C22×D3 | — | 4 | 6 | no | — |
| 979 | C22×D3 | — | 4 | 12 | no | — |
| 980 | C22×D3 | — | 4 | 12 | no | — |
| 981 | C22×D3 | — | 4 | 12 | no | — |
| 982 | C22×D3 | C25 | 1 | 3 | yes | — |
| 983 | C22×D3 | C25 | 1 | 6 | yes | — |
| 984 | C22×D3 | C25 | 1 | 6 | yes | — |
| 985 | C22×D3 | C25 | 1 | 1 | yes | characteristic |
| 986 | C3×Q8 | — | 2 | 6 | no | — |
| 987 | C3×Q8 | — | 2 | 2 | no | — |
| 988 | C3×Q8 | — | 4 | 6 | no | — |
| 989 | C3×Q8 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 990 | C3×D4 | — | 2 | 12 | no | — |
| 991 | C3×D4 | — | 2 | 12 | no | — |
| 992 | C3×D4 | — | 2 | 6 | no | — |
| 993 | C3×D4 | — | 4 | 6 | no | — |
| 994 | C2×C3×C4 | — | 2 | 6 | no | — |
| 995 | C2×C3×C4 | — | 2 | 6 | no | — |
| 996 | C2×C3×C4 | — | 2 | 12 | no | — |
| 997 | C2×C3×C4 | — | 2 | 2 | no | — |
| 998 | C2×C3×C4 | — | 4 | 12 | no | — |
| 999 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 1000 | C2×C3×C4 | C25 | 1 | 2 | yes | — |
| 1001 | C2×C3×C4 | C25 | 1 | 6 | yes | — |
| 1002 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 1003 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 1004 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 1005 | C2×C3×C4 | C25 | 1 | 2 | yes | — |
| 1006 | C2×C3×C4 | C25 | 1 | 3 | yes | — |
| 1007 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 1008 | #67 | — | 2 | 6 | no | — |
| 1009 | #67 | — | 2 | 12 | no | — |
| 1010 | #67 | — | 4 | 12 | no | — |
| 1011 | #67 | — | 4 | 6 | no | — |
| 1012 | #67 | — | 4 | 6 | no | — |
| 1013 | #67 | — | 4 | 12 | no | — |
| 1014 | #67 | — | 4 | 12 | no | — |
| 1015 | #67 | — | 4 | 6 | no | — |
| 1016 | #67 | H(5,𝔽2) | 1 | 4 | yes | complemented |
| 1017 | C2×Dic3 | — | 4 | 2 | no | — |
| 1018 | C2×Dic3 | — | 4 | 6 | no | — |
| 1019 | C2×Dic3 | C25 | 1 | 1 | yes | characteristic |
| 1020 | C2×Dic3 | C25 | 1 | 3 | yes | — |
| 1021 | C2×Dic3 | C25 | 1 | 1 | yes | characteristic |
| 1022 | C2×Dic3 | C25 | 1 | 2 | yes | — |
| 1023 | C2×Dic3 | C25 | 1 | 3 | yes | — |
| 1024 | C2×Dic3 | C25 | 1 | 3 | yes | — |
| 1025 | C2×Dic3 | C25 | 1 | 2 | yes | — |
| 1026 | C2×Dic3 | C25 | 1 | 1 | yes | characteristic |
| 1027 | D12 | — | 2 | 6 | no | — |
| 1028 | D12 | — | 2 | 12 | no | — |
| 1029 | D12 | — | 2 | 6 | no | — |
| 1030 | D12 | — | 2 | 12 | no | — |
| 1031 | D12 | — | 2 | 12 | no | — |
| 1032 | D12 | — | 2 | 6 | no | — |
| 1033 | D12 | — | 2 | 6 | no | — |
| 1034 | D12 | — | 4 | 12 | no | — |
| 1035 | D12 | — | 4 | 6 | no | — |
| 1036 | D12 | — | 4 | 6 | no | — |
| 1037 | D12 | — | 4 | 6 | no | — |
| 1038 | D12 | — | 4 | 6 | no | — |
| 1039 | D12 | — | 4 | 12 | no | — |
| 1040 | D12 | — | 4 | 12 | no | — |
| 1041 | D12 | — | 4 | 6 | no | — |
| 1042 | C4×D3 | — | 2 | 6 | no | — |
| 1043 | C4×D3 | — | 2 | 6 | no | — |
| 1044 | C4×D3 | — | 2 | 12 | no | — |
| 1045 | C4×D3 | — | 2 | 12 | no | — |
| 1046 | C4×D3 | — | 2 | 6 | no | — |
| 1047 | C4×D3 | — | 2 | 2 | no | — |
| 1048 | C4×D3 | — | 2 | 6 | no | — |
| 1049 | C4×D3 | — | 2 | 6 | no | — |
| 1050 | C4×D3 | — | 2 | 12 | no | — |
| 1051 | C4×D3 | — | 4 | 2 | no | — |
| 1052 | C4×D3 | — | 4 | 6 | no | — |
| 1053 | C4×D3 | — | 4 | 6 | no | — |
| 1054 | C4×D3 | — | 4 | 6 | no | — |
| 1055 | C4×D3 | — | 4 | 12 | no | — |
| 1056 | C4×D3 | — | 4 | 6 | no | — |
| 1057 | Dic6 | — | 2 | 6 | no | — |
| 1058 | Dic6 | — | 2 | 6 | no | — |
| 1059 | Dic6 | — | 4 | 2 | no | — |
| 1060 | C24 | — | 3 | 6 | no | — |
| 1061 | C24 | — | 3 | 6 | no | — |
| 1062 | C24 | — | 3 | 12 | no | — |
| 1063 | #41 | — | 2 | 8 | no | — |
| 1064 | #41 | — | 4 | 12 | no | — |
| 1065 | #41 | — | 6 | 12 | no | — |
| 1066 | #41 | — | 6 | 8 | no | — |
| 1067 | #41 | — | 6 | 8 | no | — |
| 1068 | #41 | — | 6 | 4 | no | — |
| 1069 | #41 | — | 12 | 12 | no | — |
| 1070 | #41 | — | 12 | 12 | no | — |
| 1071 | #41 | — | 12 | 24 | no | — |
| 1072 | #41 | — | 12 | 12 | no | — |
| 1073 | #41 | — | 12 | 12 | no | — |
| 1074 | #41 | — | 12 | 12 | no | — |
| 1075 | #41 | — | 12 | 12 | no | — |
| 1076 | #41 | — | 12 | 12 | no | — |
| 1077 | #41 | — | 12 | 6 | no | — |
| 1078 | C2×Q8 | — | 2 | 4 | no | — |
| 1079 | C2×Q8 | — | 3 | 3 | no | — |
| 1080 | C2×Q8 | — | 3 | 3 | no | — |
| 1081 | C2×Q8 | — | 3 | 2 | no | — |
| 1082 | C2×Q8 | — | 6 | 4 | no | — |
| 1083 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 1084 | C2×Q8 | C23×D3 | 1 | 3 | yes | — |
| 1085 | C2×Q8 | C23×D3 | 1 | 6 | yes | — |
| 1086 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 1087 | C2×D4 | — | 3 | 1 | no | — |
| 1088 | C2×D4 | — | 3 | 3 | no | — |
| 1089 | C2×D4 | — | 3 | 6 | no | — |
| 1090 | C2×D4 | — | 3 | 12 | no | — |
| 1091 | C2×D4 | — | 3 | 6 | no | — |
| 1092 | C2×D4 | — | 3 | 6 | no | — |
| 1093 | C2×D4 | — | 3 | 12 | no | — |
| 1094 | C2×D4 | — | 3 | 6 | no | — |
| 1095 | C2×D4 | — | 3 | 12 | no | — |
| 1096 | C2×D4 | — | 3 | 3 | no | — |
| 1097 | C2×D4 | — | 3 | 3 | no | — |
| 1098 | C2×D4 | — | 3 | 6 | no | — |
| 1099 | C2×D4 | — | 3 | 3 | no | — |
| 1100 | C2×D4 | — | 3 | 3 | no | — |
| 1101 | C2×D4 | — | 3 | 6 | no | — |
| 1102 | C2×D4 | — | 3 | 6 | no | — |
| 1103 | C2×D4 | — | 3 | 6 | no | — |
| 1104 | C2×D4 | — | 3 | 6 | no | — |
| 1105 | C2×D4 | — | 3 | 6 | no | — |
| 1106 | C2×D4 | — | 3 | 12 | no | — |
| 1107 | C2×D4 | — | 3 | 12 | no | — |
| 1108 | C2×D4 | — | 3 | 6 | no | — |
| 1109 | C2×D4 | — | 3 | 12 | no | — |
| 1110 | C2×D4 | — | 3 | 6 | no | — |
| 1111 | C2×D4 | — | 6 | 24 | no | — |
| 1112 | C2×D4 | — | 12 | 12 | no | — |
| 1113 | C2×D4 | — | 12 | 12 | no | — |
| 1114 | C2×D4 | — | 12 | 6 | no | — |
| 1115 | C2×D4 | — | 12 | 12 | no | — |
| 1116 | C2×D4 | — | 12 | 24 | no | — |
| 1117 | C2×D4 | — | 12 | 12 | no | — |
| 1118 | C2×D4 | — | 12 | 12 | no | — |
| 1119 | C2×D4 | — | 12 | 12 | no | — |
| 1120 | C2×D4 | — | 12 | 6 | no | — |
| 1121 | C2×D4 | — | 12 | 12 | no | — |
| 1122 | C2×D4 | — | 12 | 12 | no | — |
| 1123 | C2×D4 | — | 12 | 12 | no | — |
| 1124 | C2×D4 | — | 12 | 24 | no | — |
| 1125 | C2×D4 | C23×D3 | 1 | 3 | yes | — |
| 1126 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 1127 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 1128 | C2×D4 | C23×D3 | 1 | 6 | yes | — |
| 1129 | C22×C4 | — | 3 | 2 | no | — |
| 1130 | C22×C4 | — | 3 | 6 | no | — |
| 1131 | C22×C4 | — | 3 | 1 | no | — |
| 1132 | C22×C4 | — | 3 | 3 | no | — |
| 1133 | C22×C4 | — | 3 | 3 | no | — |
| 1134 | C22×C4 | — | 3 | 6 | no | — |
| 1135 | C22×C4 | — | 3 | 3 | no | — |
| 1136 | C22×C4 | — | 3 | 6 | no | — |
| 1137 | C22×C4 | — | 3 | 3 | no | — |
| 1138 | C22×C4 | — | 3 | 3 | no | — |
| 1139 | C22×C4 | — | 3 | 6 | no | — |
| 1140 | C22×C4 | — | 3 | 6 | no | — |
| 1141 | C22×C4 | — | 3 | 2 | no | — |
| 1142 | C22×C4 | — | 3 | 6 | no | — |
| 1143 | C22×C4 | — | 3 | 12 | no | — |
| 1144 | C22×C4 | — | 3 | 6 | no | — |
| 1145 | C22×C4 | — | 3 | 6 | no | — |
| 1146 | C22×C4 | — | 12 | 12 | no | — |
| 1147 | C22×C4 | — | 12 | 12 | no | — |
| 1148 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 1149 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 1150 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 1151 | C22×C4 | C23×D3 | 1 | 6 | yes | — |
| 1152 | C22×C4 | C23×D3 | 1 | 12 | yes | — |
| 1153 | C4⋊C4 | — | 3 | 2 | no | — |
| 1154 | C4⋊C4 | — | 3 | 3 | no | — |
| 1155 | C4⋊C4 | — | 3 | 1 | no | — |
| 1156 | C4⋊C4 | — | 3 | 3 | no | — |
| 1157 | C4⋊C4 | — | 3 | 6 | no | — |
| 1158 | C4⋊C4 | — | 3 | 1 | no | — |
| 1159 | C4⋊C4 | — | 3 | 2 | no | — |
| 1160 | C4⋊C4 | — | 3 | 2 | no | — |
| 1161 | C4⋊C4 | — | 3 | 6 | no | — |
| 1162 | C4⋊C4 | — | 3 | 6 | no | — |
| 1163 | C4⋊C4 | — | 3 | 3 | no | — |
| 1164 | C4⋊C4 | — | 3 | 2 | no | — |
| 1165 | C4⋊C4 | — | 3 | 1 | no | — |
| 1166 | C4⋊C4 | — | 3 | 2 | no | — |
| 1167 | C4⋊C4 | — | 3 | 6 | no | — |
| 1168 | C4⋊C4 | — | 3 | 6 | no | — |
| 1169 | C4⋊C4 | — | 3 | 3 | no | — |
| 1170 | C4⋊C4 | — | 3 | 3 | no | — |
| 1171 | C4⋊C4 | — | 3 | 3 | no | — |
| 1172 | C4⋊C4 | — | 3 | 3 | no | — |
| 1173 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1174 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 1175 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 1176 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1177 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 1178 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1179 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1180 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 1181 | C4⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1182 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 1183 | C22⋊C4 | — | 3 | 6 | no | — |
| 1184 | C22⋊C4 | — | 3 | 3 | no | — |
| 1185 | C22⋊C4 | — | 3 | 6 | no | — |
| 1186 | C22⋊C4 | — | 3 | 1 | no | — |
| 1187 | C22⋊C4 | — | 3 | 6 | no | — |
| 1188 | C22⋊C4 | — | 3 | 2 | no | — |
| 1189 | C22⋊C4 | — | 3 | 6 | no | — |
| 1190 | C22⋊C4 | — | 3 | 3 | no | — |
| 1191 | C22⋊C4 | — | 3 | 6 | no | — |
| 1192 | C22⋊C4 | — | 3 | 6 | no | — |
| 1193 | C22⋊C4 | — | 3 | 6 | no | — |
| 1194 | C22⋊C4 | — | 3 | 6 | no | — |
| 1195 | C22⋊C4 | — | 3 | 12 | no | — |
| 1196 | C22⋊C4 | — | 3 | 6 | no | — |
| 1197 | C22⋊C4 | — | 3 | 6 | no | — |
| 1198 | C22⋊C4 | — | 3 | 6 | no | — |
| 1199 | C22⋊C4 | — | 3 | 6 | no | — |
| 1200 | C22⋊C4 | — | 3 | 1 | no | — |
| 1201 | C22⋊C4 | — | 3 | 3 | no | — |
| 1202 | C22⋊C4 | — | 3 | 6 | no | — |
| 1203 | C22⋊C4 | — | 3 | 3 | no | — |
| 1204 | C22⋊C4 | — | 3 | 6 | no | — |
| 1205 | C22⋊C4 | — | 3 | 6 | no | — |
| 1206 | C22⋊C4 | — | 3 | 6 | no | — |
| 1207 | C22⋊C4 | — | 3 | 12 | no | — |
| 1208 | C22⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 1209 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1210 | C22⋊C4 | C23×D3 | 1 | 12 | yes | — |
| 1211 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1212 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1213 | C22⋊C4 | C23×D3 | 1 | 6 | yes | — |
| 1214 | C42 | — | 3 | 2 | no | — |
| 1215 | C42 | — | 3 | 3 | no | — |
| 1216 | C42 | — | 3 | 1 | no | — |
| 1217 | C42 | — | 3 | 3 | no | — |
| 1218 | C42 | — | 3 | 6 | no | — |
| 1219 | C42 | — | 3 | 3 | no | — |
| 1220 | C42 | — | 3 | 3 | no | — |
| 1221 | C42 | — | 3 | 3 | no | — |
| 1222 | C42 | C23×D3 | 1 | 3 | yes | — |
| 1223 | C42 | C23×D3 | 1 | 6 | yes | — |
| 1224 | C42 | C23×D3 | 1 | 3 | yes | — |
| 1225 | C42 | C23×D3 | 1 | 3 | yes | — |
| 1226 | C42 | C23×D3 | 1 | 3 | yes | — |
| 1227 | C22×C3 | — | 2 | 1 | no | — |
| 1228 | C22×C3 | — | 2 | 1 | no | — |
| 1229 | C22×C3 | — | 2 | 6 | no | — |
| 1230 | C22×C3 | — | 2 | 6 | no | — |
| 1231 | C22×C3 | — | 2 | 6 | no | — |
| 1232 | C22×C3 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1233 | C22×C3 | C26 | 1 | 1 | yes | characteristic |
| 1234 | C2×D3 | — | 2 | 1 | no | — |
| 1235 | C2×D3 | — | 2 | 1 | no | — |
| 1236 | C2×D3 | — | 2 | 6 | no | — |
| 1237 | C2×D3 | — | 2 | 6 | no | — |
| 1238 | C2×D3 | — | 2 | 3 | no | — |
| 1239 | C2×D3 | — | 2 | 3 | no | — |
| 1240 | C2×D3 | — | 2 | 6 | no | — |
| 1241 | C2×D3 | — | 2 | 6 | no | — |
| 1242 | C2×D3 | — | 2 | 3 | no | — |
| 1243 | C2×D3 | — | 2 | 6 | no | — |
| 1244 | C2×D3 | — | 2 | 6 | no | — |
| 1245 | C2×D3 | — | 8 | 12 | no | — |
| 1246 | C2×D3 | — | 8 | 12 | no | — |
| 1247 | C2×D3 | — | 16 | 12 | no | — |
| 1248 | C2×D3 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1249 | C3×C4 | — | 2 | 3 | no | — |
| 1250 | C3×C4 | — | 2 | 2 | no | — |
| 1251 | C3×C4 | — | 2 | 3 | no | — |
| 1252 | C3×C4 | — | 2 | 6 | no | — |
| 1253 | C3×C4 | — | 2 | 3 | no | — |
| 1254 | C3×C4 | — | 2 | 2 | no | — |
| 1255 | C3×C4 | — | 2 | 1 | no | — |
| 1256 | C3×C4 | C2×H(5,𝔽2) | 1 | 6 | yes | — |
| 1257 | C3×C4 | #585 | 1 | 2 | yes | — |
| 1258 | Dic3 | — | 2 | 3 | no | — |
| 1259 | Dic3 | — | 2 | 3 | no | — |
| 1260 | Dic3 | — | 2 | 1 | no | — |
| 1261 | Dic3 | — | 2 | 2 | no | — |
| 1262 | Dic3 | — | 2 | 2 | no | — |
| 1263 | Dic3 | — | 2 | 3 | no | — |
| 1264 | Dic3 | — | 2 | 1 | no | — |
| 1265 | Dic3 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 1266 | C23 | — | 3 | 1 | no | — |
| 1267 | C23 | — | 3 | 3 | no | — |
| 1268 | C23 | — | 3 | 6 | no | — |
| 1269 | C23 | — | 3 | 6 | no | — |
| 1270 | C23 | — | 6 | 12 | no | — |
| 1271 | C23 | — | 6 | 12 | no | — |
| 1272 | C23 | — | 12 | 6 | no | — |
| 1273 | C23 | — | 12 | 6 | no | — |
| 1274 | C23 | — | 12 | 6 | no | — |
| 1275 | C23 | — | 12 | 6 | no | — |
| 1276 | C23 | — | 12 | 12 | no | — |
| 1277 | C23 | — | 12 | 12 | no | — |
| 1278 | C23 | — | 12 | 12 | no | — |
| 1279 | C23 | C24×D3 | 1 | 6 | yes | — |
| 1280 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 1281 | Q8 | — | 2 | 6 | no | — |
| 1282 | Q8 | — | 2 | 2 | no | — |
| 1283 | Q8 | — | 4 | 6 | no | — |
| 1284 | Q8 | — | 6 | 6 | no | — |
| 1285 | Q8 | — | 6 | 6 | no | — |
| 1286 | Q8 | — | 12 | 2 | no | — |
| 1287 | Q8 | #1009 | 1 | 4 | yes | complemented |
| 1288 | D4 | — | 2 | 12 | no | — |
| 1289 | D4 | — | 2 | 12 | no | — |
| 1290 | D4 | — | 2 | 6 | no | — |
| 1291 | D4 | — | 3 | 4 | no | — |
| 1292 | D4 | — | 4 | 6 | no | — |
| 1293 | D4 | — | 6 | 12 | no | — |
| 1294 | D4 | — | 6 | 6 | no | — |
| 1295 | D4 | — | 6 | 12 | no | — |
| 1296 | D4 | — | 6 | 6 | no | — |
| 1297 | D4 | — | 6 | 6 | no | — |
| 1298 | D4 | — | 6 | 12 | no | — |
| 1299 | D4 | — | 6 | 12 | no | — |
| 1300 | D4 | — | 6 | 6 | no | — |
| 1301 | D4 | — | 6 | 6 | no | — |
| 1302 | D4 | — | 12 | 6 | no | — |
| 1303 | D4 | — | 12 | 12 | no | — |
| 1304 | D4 | — | 12 | 6 | no | — |
| 1305 | D4 | — | 12 | 6 | no | — |
| 1306 | D4 | — | 12 | 12 | no | — |
| 1307 | D4 | — | 12 | 12 | no | — |
| 1308 | D4 | — | 12 | 6 | no | — |
| 1309 | D4 | — | 12 | 6 | no | — |
| 1310 | D4 | — | 12 | 6 | no | — |
| 1311 | D4 | — | 12 | 6 | no | — |
| 1312 | D4 | — | 12 | 12 | no | — |
| 1313 | D4 | — | 12 | 12 | no | — |
| 1314 | D4 | — | 12 | 12 | no | — |
| 1315 | D4 | — | 12 | 6 | no | — |
| 1316 | C2×C4 | — | 2 | 6 | no | — |
| 1317 | C2×C4 | — | 2 | 6 | no | — |
| 1318 | C2×C4 | — | 2 | 12 | no | — |
| 1319 | C2×C4 | — | 2 | 2 | no | — |
| 1320 | C2×C4 | — | 3 | 1 | no | — |
| 1321 | C2×C4 | — | 3 | 1 | no | — |
| 1322 | C2×C4 | — | 3 | 3 | no | — |
| 1323 | C2×C4 | — | 3 | 2 | no | — |
| 1324 | C2×C4 | — | 3 | 1 | no | — |
| 1325 | C2×C4 | — | 3 | 3 | no | — |
| 1326 | C2×C4 | — | 3 | 3 | no | — |
| 1327 | C2×C4 | — | 3 | 2 | no | — |
| 1328 | C2×C4 | — | 4 | 12 | no | — |
| 1329 | C2×C4 | — | 6 | 12 | no | — |
| 1330 | C2×C4 | — | 6 | 6 | no | — |
| 1331 | C2×C4 | — | 6 | 6 | no | — |
| 1332 | C2×C4 | — | 6 | 6 | no | — |
| 1333 | C2×C4 | — | 6 | 12 | no | — |
| 1334 | C2×C4 | — | 6 | 12 | no | — |
| 1335 | C2×C4 | — | 6 | 6 | no | — |
| 1336 | C2×C4 | — | 6 | 2 | no | — |
| 1337 | C2×C4 | — | 6 | 6 | no | — |
| 1338 | C2×C4 | — | 12 | 2 | no | — |
| 1339 | C2×C4 | — | 12 | 6 | no | — |
| 1340 | C2×C4 | — | 12 | 6 | no | — |
| 1341 | C2×C4 | — | 12 | 6 | no | — |
| 1342 | C2×C4 | — | 12 | 12 | no | — |
| 1343 | C2×C4 | — | 12 | 6 | no | — |
| 1344 | C2×C4 | — | 12 | 2 | no | — |
| 1345 | C2×C4 | — | 12 | 6 | no | — |
| 1346 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1347 | C2×C4 | C24×D3 | 1 | 2 | yes | — |
| 1348 | C2×C4 | C24×D3 | 1 | 6 | yes | — |
| 1349 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1350 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1351 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1352 | C2×C4 | C24×D3 | 1 | 2 | yes | — |
| 1353 | C2×C4 | C24×D3 | 1 | 3 | yes | — |
| 1354 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 1355 | C2×C3 | — | 2 | 2 | no | — |
| 1356 | C2×C3 | — | 4 | 6 | no | — |
| 1357 | C2×C3 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1358 | C2×C3 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1359 | C2×C3 | C2×#585 | 1 | 1 | yes | characteristic |
| 1360 | D3 | — | 2 | 2 | no | — |
| 1361 | D3 | — | 4 | 6 | no | — |
| 1362 | D3 | — | 4 | 6 | no | — |
| 1363 | D3 | — | 4 | 3 | no | — |
| 1364 | C22 | — | 2 | 1 | no | — |
| 1365 | C22 | — | 2 | 1 | no | — |
| 1366 | C22 | — | 2 | 6 | no | — |
| 1367 | C22 | — | 2 | 6 | no | — |
| 1368 | C22 | — | 2 | 6 | no | — |
| 1369 | C22 | — | 3 | 2 | no | — |
| 1370 | C22 | — | 6 | 1 | no | — |
| 1371 | C22 | — | 6 | 1 | no | — |
| 1372 | C22 | — | 6 | 6 | no | — |
| 1373 | C22 | — | 6 | 6 | no | — |
| 1374 | C22 | — | 6 | 3 | no | — |
| 1375 | C22 | — | 6 | 3 | no | — |
| 1376 | C22 | — | 6 | 6 | no | — |
| 1377 | C22 | — | 6 | 6 | no | — |
| 1378 | C22 | — | 6 | 3 | no | — |
| 1379 | C22 | — | 6 | 6 | no | — |
| 1380 | C22 | — | 6 | 6 | no | — |
| 1381 | C22 | — | 24 | 12 | no | — |
| 1382 | C22 | — | 24 | 12 | no | — |
| 1383 | C22 | — | 48 | 12 | no | — |
| 1384 | C22 | D3×H(5,𝔽2) | 1 | 2 | yes | — |
| 1385 | C22 | C25×D3 | 1 | 1 | yes | characteristic |
| 1386 | C4 | — | 2 | 2 | no | — |
| 1387 | C4 | — | 2 | 3 | no | — |
| 1388 | C4 | — | 2 | 3 | no | — |
| 1389 | C4 | — | 2 | 3 | no | — |
| 1390 | C4 | — | 2 | 6 | no | — |
| 1391 | C4 | — | 2 | 1 | no | — |
| 1392 | C4 | — | 2 | 2 | no | — |
| 1393 | C4 | — | 3 | 2 | no | — |
| 1394 | C4 | — | 6 | 2 | no | — |
| 1395 | C4 | — | 6 | 2 | no | — |
| 1396 | C4 | — | 6 | 1 | no | — |
| 1397 | C4 | — | 6 | 3 | no | — |
| 1398 | C4 | — | 6 | 3 | no | — |
| 1399 | C4 | — | 6 | 3 | no | — |
| 1400 | C4 | — | 6 | 1 | no | — |
| 1401 | C4 | C2×#1009 | 1 | 6 | yes | — |
| 1402 | C4 | #5968 | 1 | 2 | yes | — |
| 1403 | C3 | #63014 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1404 | C2 | — | 2 | 2 | no | — |
| 1405 | C2 | — | 4 | 6 | no | — |
| 1406 | C2 | — | 6 | 2 | no | — |
| 1407 | C2 | — | 12 | 6 | no | — |
| 1408 | C2 | — | 12 | 6 | no | — |
| 1409 | C2 | — | 12 | 3 | no | — |
| 1410 | C2 | C22×#1009 | 1 | 1 | yes | characteristic |
| 1411 | C2 | C2×D3×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1412 | C2 | C2×#5968 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C25×D3 |
| commutator, socle, cosocle | C22×C3 | C26 |
| Fitting | C3×#3522 | C2 |
| hypercenter | #3522 | D3 |
| hypocenter | C3 | #63014 |
| LCS | G ▷ C22×C3 ▷ C3 | |
| UCS | C1 ◁ C22 ◁ #3522 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×#3522 | C2 | semidirect |
| 2. #87066 | C2 | semidirect |
| 3. #87051 | C2 | semidirect |
| 4. #87043 | C2 | semidirect |
| 5. #87040 | C2 | semidirect |
| 6. #86939 | C2 | semidirect |
| 7. #86933 | C2 | semidirect |
| 8. D3×#550 | C2 | semidirect |
| 9. #86770 | C2 | semidirect |
| 10. #86713 | C2 | semidirect |
| 11. #86710 | C2 | semidirect |
| 12. #86702 | C2 | semidirect |
| 13. #86691 | C2 | semidirect |
| 14. #86563 | C2 | semidirect |
| 15. #86532 | C2 | semidirect |
| 16. #86247 | C2 | semidirect |
| 17. #86242 | C2 | semidirect |
| 18. #86172 | C2 | semidirect |
| 19. #86153 | C2 | semidirect |
| 20. #85900 | C2 | semidirect |
| 21. #85896 | C2 | semidirect |
| 22. #85817 | C2 | semidirect |
| 23. C2×#5577 | C2 | semidirect |
| 25. C2×#1009 | C22 | semidirect |
| 26. C2×#1009 | C22 | semidirect |
| 27. C2×D3×#41 | C22 | semidirect |
| 28. C22×#239 | C22 | semidirect |
| 29. C3×#559 | C22 | semidirect |
| 30. C3×Q82 | C22 | semidirect |
| 31. C3×#554 | C22 | semidirect |
| 32. C3×#550 | C22 | semidirect |
| 33. C3×#548 | C22 | semidirect |
| 34. C3×#547 | C22 | semidirect |
| 35. C3×#542 | C22 | semidirect |
| 36. C3×#532 | C22 | semidirect |
| 37. C3×#529 | C22 | semidirect |
| 38. C3×#520 | C22 | semidirect |
| 39. C2×C3×C4×Q8 | C22 | semidirect |
| 40. #5834 | C22 | semidirect |
| 41. #5834 | C22 | semidirect |
| 42. #5830 | C22 | semidirect |
| 43. #5829 | C22 | semidirect |
| 44. #5817 | C22 | semidirect |
| 45. Q8×#67 | C22 | semidirect |
| 46. #5734 | C22 | semidirect |
| 47. #5734 | C22 | semidirect |
| 48. #5733 | C22 | semidirect |
| 49. #5730 | C22 | semidirect |
| 50. #5726 | C22 | semidirect |
| 51. #5725 | C22 | semidirect |
| 52. #5725 | C22 | semidirect |
| 53. #5725 | C22 | semidirect |
| 54. #5718 | C22 | semidirect |
| 55. #5717 | C22 | semidirect |
| 56. D3×#127 | C22 | semidirect |
| 57. D3×#127 | C22 | semidirect |
| 58. #5711 | C22 | semidirect |
| 59. #5709 | C22 | semidirect |
| 60. #5705 | C22 | semidirect |
| 61. #5697 | C22 | semidirect |
| 62. #5695 | C22 | semidirect |
| 63. #5690 | C22 | semidirect |
| 64. #5681 | C22 | semidirect |
| 65. #5678 | C22 | semidirect |
| 66. #5676 | C22 | semidirect |
| 67. #5676 | C22 | semidirect |
| 68. #5676 | C22 | semidirect |
| 69. #5674 | C22 | semidirect |
| 70. #5674 | C22 | semidirect |
| 71. #5674 | C22 | semidirect |
| 72. #5674 | C22 | semidirect |
| 73. #5668 | C22 | semidirect |
| 74. #5666 | C22 | semidirect |
| 75. #5663 | C22 | semidirect |
| 76. #5658 | C22 | semidirect |
| 77. #5654 | C22 | semidirect |
| 78. #5654 | C22 | semidirect |
| 79. #5653 | C22 | semidirect |
| 80. #5653 | C22 | semidirect |
| 81. #5647 | C22 | semidirect |
| 82. #5644 | C22 | semidirect |
| 83. #5635 | C22 | semidirect |
| 84. #5631 | C22 | semidirect |
| 85. #5630 | C22 | semidirect |
| 86. #5630 | C22 | semidirect |
| 87. #5630 | C22 | semidirect |
| 88. #5629 | C22 | semidirect |
| 89. #5629 | C22 | semidirect |
| 90. #5627 | C22 | semidirect |
| 91. #5618 | C22 | semidirect |
| 92. #5609 | C22 | semidirect |
| 93. #5609 | C22 | semidirect |
| 94. #5609 | C22 | semidirect |
| 95. #5609 | C22 | semidirect |
| 96. #5609 | C22 | semidirect |
| 97. #5607 | C22 | semidirect |
| 98. #5606 | C22 | semidirect |
| 99. D3×#121 | C22 | semidirect |
| 100. D3×#121 | C22 | semidirect |
| 101. #5599 | C22 | semidirect |
| 102. #5585 | C22 | semidirect |
| 103. #5581 | C22 | semidirect |
| 104. #5580 | C22 | semidirect |
| 105. #5580 | C22 | semidirect |
| 106. #5578 | C22 | semidirect |
| 107. #5577 | C22 | semidirect |
| 108. #5577 | C22 | semidirect |
| 109. #5577 | C22 | semidirect |
| 110. #5577 | C22 | semidirect |
| 111. #5577 | C22 | semidirect |
| 112. #5577 | C22 | semidirect |
| 113. #5577 | C22 | semidirect |
| 114. #5577 | C22 | semidirect |
| 115. #5576 | C22 | semidirect |
| 116. #5576 | C22 | semidirect |
| 117. #5574 | C22 | semidirect |
| 118. C4×#239 | C22 | semidirect |
| 119. C4×#239 | C22 | semidirect |
| 120. C4×#239 | C22 | semidirect |
| 121. C4×D3×Q8 | C22 | semidirect |
| 122. #5569 | C22 | semidirect |
| 123. #5568 | C22 | semidirect |
| 124. #5562 | C22 | semidirect |
| 125. #5562 | C22 | semidirect |
| 126. #5558 | C22 | semidirect |
| 127. #5554 | C22 | semidirect |
| 128. #5554 | C22 | semidirect |
| 129. #5553 | C22 | semidirect |
| 130. #5553 | C22 | semidirect |
| 131. #5553 | C22 | semidirect |
| 132. #5550 | C22 | semidirect |
| 133. D4×D12 | C22 | semidirect |
| 134. D4×D12 | C22 | semidirect |
| 135. D4×D12 | C22 | semidirect |
| 136. D4×D12 | C22 | semidirect |
| 137. D4×D12 | C22 | semidirect |
| 138. #5548 | C22 | semidirect |
| 139. #5548 | C22 | semidirect |
| 140. #5547 | C22 | semidirect |
| 141. #5545 | C22 | semidirect |
| 142. C4×D3×D4 | C22 | semidirect |
| 143. C4×D3×D4 | C22 | semidirect |
| 144. #5535 | C22 | semidirect |
| 145. #5528 | C22 | semidirect |
| 146. #5525 | C22 | semidirect |
| 147. #5524 | C22 | semidirect |
| 148. #5514 | C22 | semidirect |
| 149. #5513 | C22 | semidirect |
| 150. #5510 | C22 | semidirect |
| 151. #5507 | C22 | semidirect |
| 152. #5507 | C22 | semidirect |
| 153. C2×#895 | C22 | semidirect |
| 154. C2×#895 | C22 | semidirect |
| 155. #5479 | C22 | semidirect |
| 156. C2×#874 | C22 | semidirect |
| 157. C4×#235 | C22 | semidirect |
| 158. C2×C4×D12 | C22 | semidirect |
| 166. #3522 | D3 | semidirect |
| 435. #559 | C2×D3 | semidirect |
| 436. Q82 | C2×D3 | semidirect |
| 444. #554 | C2×D3 | semidirect |
| 469. #550 | C2×D3 | semidirect |
| 474. #548 | C2×D3 | semidirect |
| 479. #547 | C2×D3 | semidirect |
| 504. #542 | C2×D3 | semidirect |
| 531. #532 | C2×D3 | semidirect |
| 539. #529 | C2×D3 | semidirect |
| 549. #520 | C2×D3 | semidirect |
| 556. C2×C4×Q8 | C2×D3 | semidirect |
| 989. C3×Q8 | H(5,𝔽2) | semidirect |
| 1016. #67 | H(5,𝔽2) | semidirect |
| 1287. Q8 | #1009 | semidirect |
| 1403. C3 | #63014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#3522 | 2 |
| #87066 | 2 |
| #87051 | 2 |
| #87043 | 2 |
| #87040 | 2 |
| #86939 | 2 |
| #86933 | 2 |
| D3×#550 | 2 |
| #86770 | 2 |
| #86713 | 2 |
| #86710 | 2 |
| #86702 | 2 |
| #86691 | 2 |
| #86563 | 2 |
| #86532 | 2 |
| #86247 | 2 |
| #86242 | 2 |
| #86172 | 2 |
| #86153 | 2 |
| #85900 | 2 |
| #85896 | 2 |
| #85817 | 2 |
| C2×#5577 | 2 |
| #63014 | 3 |