← #11704219
Subgroups — #11704219
Order 768.
7102 conjugacy classes of subgroups.
The subgroup lattice has 796 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×C3×#520 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87268 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #85902 | C2 | 1 | 8 | yes | maximal, complemented |
| 4 | #85892 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #85891 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #85888 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | #85819 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #85788 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #85776 | C2 | 1 | 8 | yes | maximal, complemented |
| 10 | #85746 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #85735 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #85725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #85718 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | C2×#5504 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #62845 | — | 3 | 1 | no | maximal, Sylow |
| 16 | C22×C3×#41 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×#235 | C22 | 1 | 2 | yes | — |
| 18 | C3×#520 | C22 | 1 | 8 | yes | complemented |
| 19 | C3×#520 | C22 | 1 | 8 | yes | complemented |
| 20 | C2×C3×C4×Q8 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×C3×C4×D4 | C22 | 1 | 4 | yes | — |
| 22 | C2×C3×C4×D4 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×C3×#117 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C3×#117 | C22 | 1 | 2 | yes | complemented |
| 25 | C22×C3×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 26 | C22×C3×C4⋊C4 | C22 | 1 | 2 | yes | complemented |
| 27 | #5833 | C22 | 1 | 4 | yes | — |
| 28 | #5833 | C22 | 1 | 4 | yes | — |
| 29 | #5832 | C22 | 1 | 8 | yes | — |
| 30 | #5830 | C22 | 1 | 4 | yes | complemented |
| 31 | #5828 | C22 | 1 | 8 | yes | complemented |
| 32 | #5825 | C22 | 1 | 4 | yes | complemented |
| 33 | #5816 | C22 | 1 | 4 | yes | complemented |
| 34 | #5805 | C22 | 1 | 4 | yes | complemented |
| 35 | #5804 | C22 | 1 | 8 | yes | — |
| 36 | #5791 | C22 | 1 | 16 | yes | complemented |
| 37 | #5791 | C22 | 1 | 8 | yes | complemented |
| 38 | C2×C4×#67 | C22 | 1 | 8 | yes | — |
| 39 | C2×#926 | C22 | 1 | 2 | yes | — |
| 40 | #5585 | C22 | 1 | 8 | yes | complemented |
| 41 | #5584 | C22 | 1 | 8 | yes | complemented |
| 42 | #5581 | C22 | 1 | 16 | yes | complemented |
| 43 | #5579 | C22 | 1 | 8 | yes | complemented |
| 44 | #5568 | C22 | 1 | 16 | yes | complemented |
| 45 | #5567 | C22 | 1 | 8 | yes | complemented |
| 46 | #5564 | C22 | 1 | 32 | yes | complemented |
| 47 | #5563 | C22 | 1 | 8 | yes | complemented |
| 48 | #5560 | C22 | 1 | 32 | yes | complemented |
| 49 | #5559 | C22 | 1 | 16 | yes | complemented |
| 50 | #5558 | C22 | 1 | 16 | yes | complemented |
| 51 | #5553 | C22 | 1 | 8 | yes | complemented |
| 52 | #5551 | C22 | 1 | 8 | yes | complemented |
| 53 | #5547 | C22 | 1 | 32 | yes | complemented |
| 54 | #5542 | C22 | 1 | 8 | yes | complemented |
| 55 | #5538 | C22 | 1 | 32 | yes | complemented |
| 56 | #5533 | C22 | 1 | 16 | yes | complemented |
| 57 | #5532 | C22 | 1 | 16 | yes | complemented |
| 58 | #5530 | C22 | 1 | 16 | yes | complemented |
| 59 | #5529 | C22 | 1 | 16 | yes | complemented |
| 60 | #5526 | C22 | 1 | 4 | yes | complemented |
| 61 | #5525 | C22 | 1 | 4 | yes | complemented |
| 62 | #5524 | C22 | 1 | 8 | yes | complemented |
| 63 | #5519 | C22 | 1 | 4 | yes | complemented |
| 64 | #5519 | C22 | 1 | 4 | yes | complemented |
| 65 | #5517 | C22 | 1 | 8 | yes | complemented |
| 66 | #5515 | C22 | 1 | 16 | yes | complemented |
| 67 | #5514 | C22 | 1 | 16 | yes | complemented |
| 68 | #5513 | C22 | 1 | 16 | yes | complemented |
| 69 | #5511 | C22 | 1 | 16 | yes | complemented |
| 70 | #5510 | C22 | 1 | 2 | yes | — |
| 71 | #5510 | C22 | 1 | 2 | yes | — |
| 72 | #5507 | C22 | 1 | 16 | yes | complemented |
| 73 | #5504 | C22 | 1 | 8 | yes | complemented |
| 74 | #5504 | C22 | 1 | 8 | yes | complemented |
| 75 | #5504 | C22 | 1 | 8 | yes | complemented |
| 76 | #5504 | C22 | 1 | 8 | yes | complemented |
| 77 | C2×#893 | C22 | 1 | 4 | yes | complemented |
| 78 | C2×#892 | C22 | 1 | 4 | yes | complemented |
| 79 | C2×D3×C4⋊C4 | C22 | 1 | 4 | yes | complemented |
| 80 | #5500 | C22 | 1 | 2 | yes | complemented |
| 81 | #5500 | C22 | 1 | 2 | yes | complemented |
| 82 | C2×#887 | C22 | 1 | 4 | yes | complemented |
| 83 | #5494 | C22 | 1 | 16 | yes | complemented |
| 84 | #5493 | C22 | 1 | 4 | yes | — |
| 85 | #5483 | C22 | 1 | 4 | yes | — |
| 86 | #5479 | C22 | 1 | 16 | yes | complemented |
| 87 | #5477 | C22 | 1 | 4 | yes | — |
| 88 | #5470 | C22 | 1 | 4 | yes | complemented |
| 89 | #3507 | — | 3 | 8 | no | — |
| 90 | #3507 | — | 3 | 4 | no | — |
| 91 | #3506 | — | 3 | 8 | no | — |
| 92 | #3506 | — | 3 | 4 | no | — |
| 93 | #3493 | — | 3 | 8 | no | — |
| 94 | #3493 | — | 3 | 4 | no | — |
| 95 | #3492 | — | 3 | 8 | no | — |
| 96 | #3492 | — | 3 | 4 | no | — |
| 97 | #3459 | — | 3 | 8 | no | — |
| 98 | #3458 | — | 3 | 1 | no | — |
| 99 | #3449 | — | 3 | 2 | no | — |
| 100 | #3449 | — | 3 | 1 | no | — |
| 101 | C2×#520 | — | 3 | 2 | no | — |
| 102 | C2×#520 | D3 | 1 | 1 | yes | characteristic, complemented |
| 103 | C2×C3×#41 | — | 2 | 8 | no | — |
| 104 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 105 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 106 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 107 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 108 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 109 | C23×C3×C4 | C23 | 1 | 2 | yes | — |
| 110 | C23×C3×C4 | C23 | 1 | 2 | yes | — |
| 111 | C23×C3×C4 | C23 | 1 | 4 | yes | — |
| 112 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 113 | C22×#67 | C23 | 1 | 4 | yes | — |
| 114 | C2×#235 | — | 2 | 16 | no | — |
| 115 | C2×#235 | C23 | 1 | 4 | yes | — |
| 116 | C2×#235 | C23 | 1 | 4 | yes | — |
| 117 | C2×#235 | C23 | 1 | 4 | yes | — |
| 118 | C2×#235 | C23 | 1 | 4 | yes | — |
| 119 | C2×#235 | C23 | 1 | 16 | yes | — |
| 120 | C22×D12 | C23 | 1 | 2 | yes | — |
| 121 | C22×C4×D3 | C23 | 1 | 4 | yes | — |
| 122 | C22×C4×D3 | C23 | 1 | 8 | yes | — |
| 123 | C22×Dic6 | C23 | 1 | 2 | yes | — |
| 124 | C3×C4×Q8 | C23 | 1 | 8 | yes | — |
| 125 | C3×C4×Q8 | C23 | 1 | 8 | yes | — |
| 126 | C3×C4×D4 | C23 | 1 | 32 | yes | — |
| 127 | C3×C4×D4 | C23 | 1 | 8 | yes | — |
| 128 | C3×C4×D4 | C23 | 1 | 8 | yes | — |
| 129 | C3×#117 | C23 | 1 | 4 | yes | — |
| 130 | C3×#117 | C23 | 1 | 4 | yes | — |
| 131 | C3×#117 | C23 | 1 | 16 | yes | — |
| 132 | C2×C3×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 133 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×C3×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 136 | C2×C3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 137 | C2×C3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 138 | C2×C3×C4⋊C4 | C23 | 1 | 16 | yes | — |
| 139 | C2×C3×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 140 | C2×C3×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 141 | C2×C3×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 142 | C2×C3×C42 | C23 | 1 | 2 | yes | — |
| 143 | C2×C3×C42 | C23 | 1 | 4 | yes | — |
| 144 | #953 | C23 | 1 | 16 | yes | — |
| 145 | C2×#217 | C23 | 1 | 4 | yes | — |
| 146 | #947 | C23 | 1 | 8 | yes | — |
| 147 | #946 | C23 | 1 | 8 | yes | — |
| 148 | #946 | C23 | 1 | 8 | yes | — |
| 149 | #944 | C23 | 1 | 8 | yes | — |
| 150 | #940 | C23 | 1 | 8 | yes | — |
| 151 | #939 | C23 | 1 | 16 | yes | — |
| 152 | #939 | C23 | 1 | 16 | yes | — |
| 153 | #938 | C23 | 1 | 8 | yes | — |
| 154 | #938 | C23 | 1 | 8 | yes | — |
| 155 | #937 | C23 | 1 | 16 | yes | — |
| 156 | #936 | C23 | 1 | 8 | yes | — |
| 157 | #935 | C23 | 1 | 16 | yes | — |
| 158 | #930 | C23 | 1 | 8 | yes | — |
| 159 | #930 | C23 | 1 | 8 | yes | — |
| 160 | #930 | C23 | 1 | 8 | yes | — |
| 161 | #930 | C23 | 1 | 8 | yes | — |
| 162 | #930 | C23 | 1 | 16 | yes | — |
| 163 | #929 | C23 | 1 | 16 | yes | — |
| 164 | #929 | C23 | 1 | 32 | yes | — |
| 165 | C4×#67 | C23 | 1 | 32 | yes | — |
| 166 | C4×#67 | C23 | 1 | 32 | yes | — |
| 167 | C4×#67 | C23 | 1 | 16 | yes | — |
| 168 | C4×#67 | C23 | 1 | 16 | yes | — |
| 169 | C4×#67 | C23 | 1 | 32 | yes | — |
| 170 | C2×(C2×D3)⋊C4 | C23 | 1 | 8 | yes | — |
| 171 | #926 | C23 | 1 | 4 | yes | — |
| 172 | #926 | C23 | 1 | 4 | yes | — |
| 173 | #926 | C23 | 1 | 4 | yes | — |
| 174 | #926 | C23 | 1 | 4 | yes | — |
| 175 | #926 | C23 | 1 | 16 | yes | — |
| 176 | C2×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 177 | C2×C4⋊Dic3 | C23 | 1 | 2 | yes | — |
| 178 | #924 | C23 | 1 | 8 | yes | — |
| 179 | #924 | C23 | 1 | 8 | yes | — |
| 180 | #924 | C23 | 1 | 8 | yes | — |
| 181 | #924 | C23 | 1 | 16 | yes | — |
| 182 | #924 | C23 | 1 | 8 | yes | — |
| 183 | C2×Dic3⋊C4 | C23 | 1 | 8 | yes | — |
| 184 | C2×C4×Dic3 | C23 | 1 | 8 | yes | — |
| 185 | C2×C4×Dic3 | C23 | 1 | 4 | yes | — |
| 186 | #898 | C23 | 1 | 32 | yes | — |
| 187 | #897 | C23 | 1 | 8 | yes | — |
| 188 | #897 | C23 | 1 | 8 | yes | — |
| 189 | #896 | C23 | 1 | 32 | yes | — |
| 190 | #895 | C23 | 1 | 8 | yes | — |
| 191 | #895 | C23 | 1 | 8 | yes | — |
| 192 | #894 | C23 | 1 | 32 | yes | — |
| 193 | #893 | C23 | 1 | 16 | yes | — |
| 194 | #893 | C23 | 1 | 16 | yes | — |
| 195 | #892 | C23 | 1 | 16 | yes | — |
| 196 | #892 | C23 | 1 | 16 | yes | — |
| 197 | D3×C4⋊C4 | C23 | 1 | 16 | yes | — |
| 198 | D3×C4⋊C4 | C23 | 1 | 16 | yes | — |
| 199 | #890 | C23 | 1 | 8 | yes | — |
| 200 | #890 | C23 | 1 | 8 | yes | — |
| 201 | #889 | C23 | 1 | 32 | yes | — |
| 202 | #888 | C23 | 1 | 8 | yes | — |
| 203 | #888 | C23 | 1 | 8 | yes | — |
| 204 | #887 | C23 | 1 | 16 | yes | — |
| 205 | #887 | C23 | 1 | 16 | yes | — |
| 206 | #886 | C23 | 1 | 16 | yes | — |
| 207 | #885 | C23 | 1 | 32 | yes | — |
| 208 | #884 | C23 | 1 | 32 | yes | — |
| 209 | #883 | C23 | 1 | 32 | yes | — |
| 210 | #882 | C23 | 1 | 16 | yes | — |
| 211 | #879 | C23 | 1 | 32 | yes | — |
| 212 | #878 | C23 | 1 | 16 | yes | — |
| 213 | #878 | C23 | 1 | 16 | yes | — |
| 214 | #876 | C23 | 1 | 32 | yes | — |
| 215 | #875 | C23 | 1 | 8 | yes | — |
| 216 | #875 | C23 | 1 | 16 | yes | — |
| 217 | #874 | C23 | 1 | 4 | yes | — |
| 218 | C4×D12 | C23 | 1 | 8 | yes | — |
| 219 | C4×D12 | C23 | 1 | 8 | yes | — |
| 220 | C4×D12 | C23 | 1 | 16 | yes | — |
| 221 | #872 | C23 | 1 | 32 | yes | — |
| 222 | #870 | C23 | 1 | 8 | yes | — |
| 223 | #870 | C23 | 1 | 16 | yes | — |
| 224 | #869 | C23 | 1 | 4 | yes | — |
| 225 | #869 | C23 | 1 | 4 | yes | — |
| 226 | #869 | C23 | 1 | 4 | yes | — |
| 227 | C4×Dic6 | C23 | 1 | 8 | yes | — |
| 228 | C4×Dic6 | C23 | 1 | 8 | yes | — |
| 229 | C4×Dic6 | C23 | 1 | 16 | yes | — |
| 230 | C22×#41 | — | 3 | 2 | no | — |
| 231 | C22×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 232 | #559 | — | 3 | 8 | no | — |
| 233 | #559 | — | 3 | 16 | no | — |
| 234 | #557 | — | 3 | 8 | no | — |
| 235 | #556 | — | 3 | 8 | no | — |
| 236 | #556 | — | 3 | 16 | no | — |
| 237 | #556 | — | 3 | 8 | no | — |
| 238 | #556 | — | 3 | 16 | no | — |
| 239 | #555 | — | 3 | 8 | no | — |
| 240 | #555 | — | 3 | 16 | no | — |
| 241 | #554 | — | 3 | 8 | no | — |
| 242 | #554 | — | 3 | 16 | no | — |
| 243 | #553 | — | 3 | 16 | no | — |
| 244 | #553 | — | 3 | 16 | no | — |
| 245 | #553 | — | 3 | 16 | no | — |
| 246 | #552 | — | 3 | 16 | no | — |
| 247 | #552 | — | 3 | 16 | no | — |
| 248 | #552 | — | 3 | 16 | no | — |
| 249 | #550 | — | 3 | 8 | no | — |
| 250 | #547 | — | 3 | 8 | no | — |
| 251 | #547 | — | 3 | 16 | no | — |
| 252 | #544 | — | 3 | 4 | no | — |
| 253 | #544 | — | 3 | 4 | no | — |
| 254 | #544 | — | 3 | 2 | no | — |
| 255 | #544 | — | 3 | 2 | no | — |
| 256 | #543 | — | 3 | 4 | no | — |
| 257 | #539 | — | 3 | 32 | no | — |
| 258 | #539 | — | 3 | 16 | no | — |
| 259 | #538 | — | 3 | 32 | no | — |
| 260 | #538 | — | 3 | 16 | no | — |
| 261 | #537 | — | 3 | 4 | no | — |
| 262 | #537 | — | 3 | 4 | no | — |
| 263 | #537 | — | 3 | 2 | no | — |
| 264 | #537 | — | 3 | 2 | no | — |
| 265 | #536 | — | 3 | 4 | no | — |
| 266 | #536 | — | 3 | 4 | no | — |
| 267 | #536 | — | 3 | 4 | no | — |
| 268 | #535 | — | 3 | 4 | no | — |
| 269 | #535 | — | 3 | 4 | no | — |
| 270 | #535 | — | 3 | 4 | no | — |
| 271 | #534 | — | 3 | 8 | no | — |
| 272 | #534 | — | 3 | 4 | no | — |
| 273 | #533 | — | 3 | 8 | no | — |
| 274 | #533 | — | 3 | 4 | no | — |
| 275 | #532 | — | 3 | 8 | no | — |
| 276 | #532 | — | 3 | 4 | no | — |
| 277 | #529 | — | 3 | 32 | no | — |
| 278 | #529 | — | 3 | 16 | no | — |
| 279 | #525 | — | 3 | 8 | no | — |
| 280 | #525 | — | 3 | 8 | no | — |
| 281 | #525 | — | 3 | 16 | no | — |
| 282 | #525 | — | 3 | 32 | no | — |
| 283 | #525 | — | 3 | 8 | no | — |
| 284 | #520 | — | 3 | 8 | no | — |
| 285 | #520 | — | 3 | 8 | no | — |
| 286 | #520 | — | 3 | 8 | no | — |
| 287 | #520 | — | 3 | 8 | no | — |
| 288 | #520 | C2×D3 | 1 | 8 | yes | complemented |
| 289 | #520 | C2×D3 | 1 | 8 | yes | complemented |
| 290 | C2×C4×Q8 | — | 3 | 4 | no | — |
| 291 | C2×C4×Q8 | C2×D3 | 1 | 2 | yes | complemented |
| 292 | C2×C4×D4 | — | 3 | 8 | no | — |
| 293 | C2×C4×D4 | — | 3 | 4 | no | — |
| 294 | C2×C4×D4 | C2×D3 | 1 | 4 | yes | — |
| 295 | C2×C4×D4 | C2×D3 | 1 | 2 | yes | complemented |
| 296 | C2×#117 | — | 3 | 2 | no | — |
| 297 | C2×#117 | — | 3 | 4 | no | — |
| 298 | C2×#117 | C2×D3 | 1 | 1 | yes | characteristic |
| 299 | C2×#117 | C2×D3 | 1 | 2 | yes | complemented |
| 300 | C22×C4⋊C4 | — | 3 | 4 | no | — |
| 301 | C22×C4⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 302 | C22×C4⋊C4 | C2×D3 | 1 | 2 | yes | complemented |
| 303 | C24×C3 | C24 | 1 | 2 | yes | — |
| 304 | C24×C3 | C24 | 1 | 1 | yes | characteristic |
| 305 | C23×D3 | C24 | 1 | 4 | yes | — |
| 306 | C3×#41 | — | 2 | 16 | no | — |
| 307 | C3×#41 | — | 2 | 16 | no | — |
| 308 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 309 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 310 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 311 | C2×C3×D4 | — | 2 | 8 | no | — |
| 312 | C2×C3×D4 | — | 2 | 4 | no | — |
| 313 | C2×C3×D4 | C24 | 1 | 8 | yes | — |
| 314 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 315 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 316 | C22×C3×C4 | — | 2 | 8 | no | — |
| 317 | C22×C3×C4 | — | 8 | 2 | no | — |
| 318 | C22×C3×C4 | — | 8 | 4 | no | — |
| 319 | C22×C3×C4 | #41 | 1 | 8 | yes | complemented |
| 320 | C22×C3×C4 | C24 | 1 | 8 | yes | — |
| 321 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 322 | C22×C3×C4 | C24 | 1 | 8 | yes | — |
| 323 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 324 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 325 | C22×C3×C4 | C24 | 1 | 16 | yes | — |
| 326 | C22×C3×C4 | C24 | 1 | 4 | yes | — |
| 327 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 328 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 329 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 330 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 331 | C2×#67 | — | 2 | 16 | no | — |
| 332 | C2×#67 | C24 | 1 | 8 | yes | — |
| 333 | C2×#67 | C24 | 1 | 8 | yes | — |
| 334 | C2×#67 | C24 | 1 | 16 | yes | — |
| 335 | C2×#67 | C24 | 1 | 16 | yes | — |
| 336 | C22×Dic3 | C24 | 1 | 4 | yes | — |
| 337 | C22×Dic3 | C24 | 1 | 4 | yes | — |
| 338 | C22×Dic3 | C24 | 1 | 4 | yes | — |
| 339 | #235 | — | 2 | 16 | no | — |
| 340 | #235 | — | 2 | 16 | no | — |
| 341 | #235 | — | 2 | 16 | no | — |
| 342 | #235 | — | 2 | 16 | no | — |
| 343 | #235 | — | 8 | 16 | no | — |
| 344 | C2×D12 | — | 2 | 8 | no | — |
| 345 | C2×D12 | C24 | 1 | 4 | yes | — |
| 346 | C2×D12 | C24 | 1 | 4 | yes | — |
| 347 | C2×D12 | C24 | 1 | 8 | yes | — |
| 348 | C2×D12 | C24 | 1 | 8 | yes | — |
| 349 | C2×C4×D3 | — | 2 | 16 | no | — |
| 350 | C2×C4×D3 | — | 8 | 8 | no | — |
| 351 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 352 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 353 | C2×C4×D3 | C24 | 1 | 32 | yes | — |
| 354 | C2×Dic6 | — | 2 | 8 | no | — |
| 355 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 356 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 357 | C2×Dic6 | C24 | 1 | 8 | yes | — |
| 358 | C2×Dic6 | C24 | 1 | 8 | yes | — |
| 359 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 360 | C3×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 361 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 362 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 363 | C3×C4⋊C4 | C24 | 1 | 16 | yes | — |
| 364 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 365 | C3×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 366 | C3×C22⋊C4 | C24 | 1 | 16 | yes | — |
| 367 | C3×C42 | C24 | 1 | 4 | yes | — |
| 368 | C3×C42 | C24 | 1 | 16 | yes | — |
| 369 | C3×C42 | C24 | 1 | 4 | yes | — |
| 370 | #217 | C24 | 1 | 8 | yes | — |
| 371 | #217 | C24 | 1 | 16 | yes | — |
| 372 | #217 | C24 | 1 | 16 | yes | — |
| 373 | #217 | C24 | 1 | 8 | yes | — |
| 374 | (C2×D3)⋊C4 | C24 | 1 | 16 | yes | — |
| 375 | (C2×D3)⋊C4 | C24 | 1 | 16 | yes | — |
| 376 | (C2×D3)⋊C4 | C24 | 1 | 16 | yes | — |
| 377 | (C2×D3)⋊C4 | C24 | 1 | 16 | yes | — |
| 378 | (C2×D3)⋊C4 | C24 | 1 | 32 | yes | — |
| 379 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 380 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 381 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 382 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 383 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 384 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 385 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 386 | C4⋊Dic3 | C24 | 1 | 4 | yes | — |
| 387 | Dic3⋊C4 | C24 | 1 | 16 | yes | — |
| 388 | Dic3⋊C4 | C24 | 1 | 16 | yes | — |
| 389 | Dic3⋊C4 | C24 | 1 | 16 | yes | — |
| 390 | Dic3⋊C4 | C24 | 1 | 16 | yes | — |
| 391 | Dic3⋊C4 | C24 | 1 | 32 | yes | — |
| 392 | C4×Dic3 | C24 | 1 | 8 | yes | — |
| 393 | C4×Dic3 | C24 | 1 | 32 | yes | — |
| 394 | C4×Dic3 | C24 | 1 | 8 | yes | — |
| 395 | C2×#41 | — | 2 | 8 | no | — |
| 396 | C2×#41 | — | 3 | 4 | no | — |
| 397 | C2×#41 | — | 3 | 4 | no | — |
| 398 | C2×#41 | — | 3 | 4 | no | — |
| 399 | C2×#41 | — | 3 | 4 | no | — |
| 400 | C2×#41 | — | 3 | 16 | no | — |
| 401 | C2×#41 | — | 6 | 16 | no | — |
| 402 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 403 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 404 | C22×Q8 | — | 3 | 2 | no | — |
| 405 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 406 | C22×D4 | — | 3 | 4 | no | — |
| 407 | C22×D4 | — | 3 | 2 | no | — |
| 408 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 409 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 410 | C23×C4 | — | 3 | 4 | no | — |
| 411 | C23×C4 | — | 3 | 8 | no | — |
| 412 | C23×C4 | C22×D3 | 1 | 2 | yes | — |
| 413 | C23×C4 | C22×D3 | 1 | 2 | yes | — |
| 414 | C23×C4 | C22×D3 | 1 | 4 | yes | — |
| 415 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 416 | C4⋊Q8 | — | 3 | 8 | no | — |
| 417 | C4⋊Q8 | — | 3 | 8 | no | — |
| 418 | C4⋊Q8 | — | 3 | 8 | no | — |
| 419 | C4⋊Q8 | — | 3 | 4 | no | — |
| 420 | C4⋊Q8 | — | 3 | 4 | no | — |
| 421 | C4⋊Q8 | — | 3 | 4 | no | — |
| 422 | #127 | — | 3 | 8 | no | — |
| 423 | #127 | — | 3 | 4 | no | — |
| 424 | #126 | — | 3 | 32 | no | — |
| 425 | #126 | — | 3 | 32 | no | — |
| 426 | #126 | — | 3 | 32 | no | — |
| 427 | #125 | — | 3 | 32 | no | — |
| 428 | #125 | — | 3 | 8 | no | — |
| 429 | #125 | — | 3 | 8 | no | — |
| 430 | #125 | — | 3 | 16 | no | — |
| 431 | #125 | — | 3 | 8 | no | — |
| 432 | #124 | — | 3 | 8 | no | — |
| 433 | #124 | — | 3 | 8 | no | — |
| 434 | #124 | — | 3 | 32 | no | — |
| 435 | #124 | — | 3 | 16 | no | — |
| 436 | #124 | — | 3 | 8 | no | — |
| 437 | #123 | — | 3 | 16 | no | — |
| 438 | #123 | — | 3 | 16 | no | — |
| 439 | #123 | — | 3 | 32 | no | — |
| 440 | #123 | — | 3 | 32 | no | — |
| 441 | #123 | — | 3 | 16 | no | — |
| 442 | #123 | — | 3 | 32 | no | — |
| 443 | C22⋊Q8 | — | 3 | 8 | no | — |
| 444 | C22⋊Q8 | — | 3 | 8 | no | — |
| 445 | C22⋊Q8 | — | 3 | 8 | no | — |
| 446 | C22⋊Q8 | — | 3 | 8 | no | — |
| 447 | C22⋊Q8 | — | 3 | 8 | no | — |
| 448 | C22⋊Q8 | — | 3 | 16 | no | — |
| 449 | C22⋊Q8 | — | 3 | 8 | no | — |
| 450 | C22⋊Q8 | — | 3 | 8 | no | — |
| 451 | C22⋊Q8 | — | 3 | 8 | no | — |
| 452 | C22⋊Q8 | — | 3 | 32 | no | — |
| 453 | C22⋊Q8 | — | 3 | 16 | no | — |
| 454 | C22⋊Q8 | — | 3 | 16 | no | — |
| 455 | #121 | — | 3 | 16 | no | — |
| 456 | #121 | — | 3 | 8 | no | — |
| 457 | #121 | — | 3 | 8 | no | — |
| 458 | #121 | — | 3 | 16 | no | — |
| 459 | #121 | — | 3 | 8 | no | — |
| 460 | #121 | — | 3 | 8 | no | — |
| 461 | #121 | — | 3 | 8 | no | — |
| 462 | #121 | — | 3 | 16 | no | — |
| 463 | #121 | — | 3 | 8 | no | — |
| 464 | #121 | — | 3 | 8 | no | — |
| 465 | #121 | — | 3 | 8 | no | — |
| 466 | #121 | — | 3 | 32 | no | — |
| 467 | #120 | — | 3 | 16 | no | — |
| 468 | #120 | — | 3 | 16 | no | — |
| 469 | #120 | — | 3 | 16 | no | — |
| 470 | C4×Q8 | — | 3 | 16 | no | — |
| 471 | C4×Q8 | — | 3 | 16 | no | — |
| 472 | C4×Q8 | — | 3 | 16 | no | — |
| 473 | C4×Q8 | — | 3 | 8 | no | — |
| 474 | C4×Q8 | — | 3 | 8 | no | — |
| 475 | C4×Q8 | C22×D3 | 1 | 8 | yes | — |
| 476 | C4×Q8 | C22×D3 | 1 | 8 | yes | — |
| 477 | C4×D4 | — | 3 | 32 | no | — |
| 478 | C4×D4 | — | 3 | 32 | no | — |
| 479 | C4×D4 | — | 3 | 32 | no | — |
| 480 | C4×D4 | — | 3 | 16 | no | — |
| 481 | C4×D4 | — | 3 | 16 | no | — |
| 482 | C4×D4 | — | 3 | 16 | no | — |
| 483 | C4×D4 | — | 3 | 16 | no | — |
| 484 | C4×D4 | — | 3 | 16 | no | — |
| 485 | C4×D4 | — | 3 | 8 | no | — |
| 486 | C4×D4 | — | 3 | 8 | no | — |
| 487 | C4×D4 | C22×D3 | 1 | 32 | yes | — |
| 488 | C4×D4 | C22×D3 | 1 | 8 | yes | — |
| 489 | C4×D4 | C22×D3 | 1 | 8 | yes | — |
| 490 | #117 | — | 3 | 4 | no | — |
| 491 | #117 | — | 3 | 4 | no | — |
| 492 | #117 | — | 3 | 4 | no | — |
| 493 | #117 | — | 3 | 4 | no | — |
| 494 | #117 | — | 3 | 16 | no | — |
| 495 | #117 | — | 3 | 16 | no | — |
| 496 | #117 | — | 3 | 16 | no | — |
| 497 | #117 | — | 3 | 32 | no | — |
| 498 | #117 | C22×D3 | 1 | 4 | yes | — |
| 499 | #117 | C22×D3 | 1 | 4 | yes | — |
| 500 | #117 | C22×D3 | 1 | 16 | yes | — |
| 501 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 502 | C2×C4⋊C4 | — | 3 | 8 | no | — |
| 503 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 504 | C2×C4⋊C4 | — | 3 | 16 | no | — |
| 505 | C2×C4⋊C4 | — | 3 | 16 | no | — |
| 506 | C2×C4⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 507 | C2×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 508 | C2×C4⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 509 | C2×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 510 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 511 | C2×C4⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 512 | C2×C4⋊C4 | C22×D3 | 1 | 16 | yes | — |
| 513 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 514 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 515 | C2×C22⋊C4 | — | 3 | 8 | no | — |
| 516 | C2×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 517 | C2×C22⋊C4 | C22×D3 | 1 | 4 | yes | — |
| 518 | C2×C42 | — | 3 | 8 | no | — |
| 519 | C2×C42 | — | 3 | 4 | no | — |
| 520 | C2×C42 | C22×D3 | 1 | 2 | yes | — |
| 521 | C2×C42 | C22×D3 | 1 | 4 | yes | — |
| 522 | C23×C3 | — | 2 | 4 | no | — |
| 523 | C23×C3 | — | 4 | 1 | no | — |
| 524 | C23×C3 | — | 4 | 2 | no | — |
| 525 | C23×C3 | — | 4 | 1 | no | — |
| 526 | C23×C3 | — | 4 | 2 | no | — |
| 527 | C23×C3 | C2×#41 | 1 | 4 | yes | — |
| 528 | C23×C3 | C25 | 1 | 4 | yes | — |
| 529 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 530 | C23×C3 | C25 | 1 | 2 | yes | — |
| 531 | C22×D3 | — | 2 | 8 | no | — |
| 532 | C22×D3 | — | 4 | 4 | no | — |
| 533 | C22×D3 | — | 4 | 4 | no | — |
| 534 | C22×D3 | C25 | 1 | 8 | yes | — |
| 535 | C3×Q8 | — | 2 | 4 | no | — |
| 536 | C3×Q8 | — | 2 | 4 | no | — |
| 537 | C3×D4 | — | 2 | 16 | no | — |
| 538 | C3×D4 | — | 2 | 4 | no | — |
| 539 | C3×D4 | — | 2 | 4 | no | — |
| 540 | C2×C3×C4 | — | 2 | 4 | no | — |
| 541 | C2×C3×C4 | — | 2 | 16 | no | — |
| 542 | C2×C3×C4 | — | 4 | 8 | no | — |
| 543 | C2×C3×C4 | — | 4 | 16 | no | — |
| 544 | C2×C3×C4 | — | 4 | 2 | no | — |
| 545 | C2×C3×C4 | — | 4 | 4 | no | — |
| 546 | C2×C3×C4 | — | 4 | 2 | no | — |
| 547 | C2×C3×C4 | C2×#41 | 1 | 8 | yes | — |
| 548 | C2×C3×C4 | C2×#41 | 1 | 8 | yes | — |
| 549 | C2×C3×C4 | C2×#41 | 1 | 4 | yes | — |
| 550 | C2×C3×C4 | C2×#41 | 1 | 4 | yes | — |
| 551 | C2×C3×C4 | C25 | 1 | 8 | yes | — |
| 552 | C2×C3×C4 | C25 | 1 | 4 | yes | — |
| 553 | C2×C3×C4 | C25 | 1 | 4 | yes | — |
| 554 | C2×C3×C4 | C25 | 1 | 4 | yes | — |
| 555 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 556 | C2×C3×C4 | C25 | 1 | 2 | yes | — |
| 557 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 558 | #67 | — | 2 | 16 | no | — |
| 559 | #67 | — | 2 | 16 | no | — |
| 560 | #67 | — | 4 | 16 | no | — |
| 561 | #67 | — | 4 | 16 | no | — |
| 562 | C2×Dic3 | — | 2 | 8 | no | — |
| 563 | C2×Dic3 | — | 4 | 4 | no | — |
| 564 | C2×Dic3 | — | 4 | 4 | no | — |
| 565 | C2×Dic3 | C25 | 1 | 8 | yes | — |
| 566 | C2×Dic3 | C25 | 1 | 8 | yes | — |
| 567 | C2×Dic3 | C25 | 1 | 8 | yes | — |
| 568 | D12 | — | 2 | 8 | no | — |
| 569 | D12 | — | 2 | 8 | no | — |
| 570 | D12 | — | 4 | 8 | no | — |
| 571 | D12 | — | 4 | 8 | no | — |
| 572 | C4×D3 | — | 2 | 16 | no | — |
| 573 | C4×D3 | — | 2 | 16 | no | — |
| 574 | C4×D3 | — | 4 | 32 | no | — |
| 575 | Dic6 | — | 2 | 8 | no | — |
| 576 | Dic6 | — | 2 | 8 | no | — |
| 577 | Dic6 | — | 4 | 8 | no | — |
| 578 | Dic6 | — | 4 | 8 | no | — |
| 579 | C24 | — | 3 | 4 | no | — |
| 580 | C24 | C23×D3 | 1 | 2 | yes | — |
| 581 | C24 | C23×D3 | 1 | 1 | yes | characteristic |
| 582 | #41 | — | 2 | 16 | no | — |
| 583 | #41 | — | 2 | 16 | no | — |
| 584 | #41 | — | 6 | 16 | no | — |
| 585 | #41 | — | 6 | 16 | no | — |
| 586 | #41 | — | 6 | 16 | no | — |
| 587 | #41 | — | 6 | 16 | no | — |
| 588 | #41 | — | 24 | 16 | no | — |
| 589 | C2×Q8 | — | 2 | 4 | no | — |
| 590 | C2×Q8 | — | 3 | 4 | no | — |
| 591 | C2×Q8 | — | 3 | 4 | no | — |
| 592 | C2×Q8 | — | 3 | 8 | no | — |
| 593 | C2×Q8 | — | 3 | 8 | no | — |
| 594 | C2×Q8 | — | 6 | 8 | no | — |
| 595 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 596 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 597 | C2×D4 | — | 2 | 8 | no | — |
| 598 | C2×D4 | — | 2 | 4 | no | — |
| 599 | C2×D4 | — | 3 | 8 | no | — |
| 600 | C2×D4 | — | 3 | 8 | no | — |
| 601 | C2×D4 | — | 3 | 16 | no | — |
| 602 | C2×D4 | — | 3 | 16 | no | — |
| 603 | C2×D4 | — | 3 | 4 | no | — |
| 604 | C2×D4 | — | 3 | 4 | no | — |
| 605 | C2×D4 | — | 3 | 8 | no | — |
| 606 | C2×D4 | — | 3 | 8 | no | — |
| 607 | C2×D4 | — | 6 | 16 | no | — |
| 608 | C2×D4 | — | 6 | 8 | no | — |
| 609 | C2×D4 | C23×D3 | 1 | 8 | yes | — |
| 610 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 611 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 612 | C22×C4 | — | 2 | 8 | no | — |
| 613 | C22×C4 | — | 3 | 4 | no | — |
| 614 | C22×C4 | — | 3 | 4 | no | — |
| 615 | C22×C4 | — | 3 | 4 | no | — |
| 616 | C22×C4 | — | 3 | 8 | no | — |
| 617 | C22×C4 | — | 3 | 8 | no | — |
| 618 | C22×C4 | — | 3 | 32 | no | — |
| 619 | C22×C4 | — | 6 | 16 | no | — |
| 620 | C22×C4 | — | 8 | 2 | no | — |
| 621 | C22×C4 | — | 8 | 4 | no | — |
| 622 | C22×C4 | — | 24 | 8 | no | — |
| 623 | C22×C4 | #235 | 1 | 8 | yes | complemented |
| 624 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 625 | C22×C4 | C23×D3 | 1 | 8 | yes | — |
| 626 | C22×C4 | C23×D3 | 1 | 8 | yes | — |
| 627 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 628 | C22×C4 | C23×D3 | 1 | 4 | yes | — |
| 629 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 630 | C22×C4 | C23×D3 | 1 | 16 | yes | — |
| 631 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 632 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 633 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 634 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 635 | C4⋊C4 | — | 3 | 4 | no | — |
| 636 | C4⋊C4 | — | 3 | 4 | no | — |
| 637 | C4⋊C4 | — | 3 | 32 | no | — |
| 638 | C4⋊C4 | — | 3 | 4 | no | — |
| 639 | C4⋊C4 | — | 3 | 4 | no | — |
| 640 | C4⋊C4 | — | 3 | 16 | no | — |
| 641 | C4⋊C4 | — | 3 | 8 | no | — |
| 642 | C4⋊C4 | — | 3 | 16 | no | — |
| 643 | C4⋊C4 | — | 3 | 8 | no | — |
| 644 | C4⋊C4 | — | 3 | 16 | no | — |
| 645 | C4⋊C4 | — | 3 | 8 | no | — |
| 646 | C4⋊C4 | — | 3 | 16 | no | — |
| 647 | C4⋊C4 | — | 3 | 8 | no | — |
| 648 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 649 | C4⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 650 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 651 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 652 | C4⋊C4 | C23×D3 | 1 | 16 | yes | — |
| 653 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 654 | C22⋊C4 | — | 3 | 8 | no | — |
| 655 | C22⋊C4 | — | 3 | 8 | no | — |
| 656 | C22⋊C4 | — | 3 | 16 | no | — |
| 657 | C22⋊C4 | — | 3 | 16 | no | — |
| 658 | C22⋊C4 | — | 3 | 32 | no | — |
| 659 | C22⋊C4 | — | 3 | 16 | no | — |
| 660 | C22⋊C4 | — | 3 | 16 | no | — |
| 661 | C22⋊C4 | — | 3 | 16 | no | — |
| 662 | C22⋊C4 | — | 3 | 16 | no | — |
| 663 | C22⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 664 | C22⋊C4 | C23×D3 | 1 | 16 | yes | — |
| 665 | C42 | — | 3 | 32 | no | — |
| 666 | C42 | — | 3 | 8 | no | — |
| 667 | C42 | — | 3 | 8 | no | — |
| 668 | C42 | C23×D3 | 1 | 16 | yes | — |
| 669 | C42 | C23×D3 | 1 | 4 | yes | — |
| 670 | C42 | C23×D3 | 1 | 4 | yes | — |
| 671 | C22×C3 | — | 2 | 2 | no | — |
| 672 | C22×C3 | — | 2 | 1 | no | — |
| 673 | C22×C3 | — | 2 | 2 | no | — |
| 674 | C22×C3 | — | 2 | 1 | no | — |
| 675 | C22×C3 | — | 2 | 4 | no | — |
| 676 | C22×C3 | — | 2 | 4 | no | — |
| 677 | C22×C3 | — | 2 | 4 | no | — |
| 678 | C22×C3 | — | 4 | 4 | no | — |
| 679 | C22×C3 | — | 4 | 8 | no | — |
| 680 | C22×C3 | C22×#41 | 1 | 4 | yes | — |
| 681 | C22×C3 | C22×#41 | 1 | 2 | yes | — |
| 682 | C22×C3 | C26 | 1 | 1 | yes | characteristic |
| 683 | C2×D3 | — | 2 | 8 | no | — |
| 684 | C2×D3 | — | 2 | 8 | no | — |
| 685 | C2×D3 | — | 2 | 8 | no | — |
| 686 | C2×D3 | — | 4 | 16 | no | — |
| 687 | C3×C4 | — | 2 | 4 | no | — |
| 688 | C3×C4 | — | 2 | 4 | no | — |
| 689 | C3×C4 | — | 2 | 8 | no | — |
| 690 | C3×C4 | — | 2 | 4 | no | — |
| 691 | C3×C4 | C22×#41 | 1 | 2 | yes | — |
| 692 | C3×C4 | C22×#41 | 1 | 4 | yes | — |
| 693 | C3×C4 | C22×#41 | 1 | 2 | yes | — |
| 694 | Dic3 | — | 2 | 8 | no | — |
| 695 | Dic3 | — | 2 | 8 | no | — |
| 696 | Dic3 | — | 2 | 8 | no | — |
| 697 | C23 | — | 2 | 4 | no | — |
| 698 | C23 | — | 3 | 8 | no | — |
| 699 | C23 | — | 4 | 1 | no | — |
| 700 | C23 | — | 4 | 2 | no | — |
| 701 | C23 | — | 4 | 1 | no | — |
| 702 | C23 | — | 4 | 2 | no | — |
| 703 | C23 | — | 6 | 8 | no | — |
| 704 | C23 | — | 12 | 4 | no | — |
| 705 | C23 | — | 12 | 4 | no | — |
| 706 | C23 | C2×#235 | 1 | 4 | yes | — |
| 707 | C23 | C24×D3 | 1 | 4 | yes | — |
| 708 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 709 | C23 | C24×D3 | 1 | 2 | yes | — |
| 710 | Q8 | — | 2 | 4 | no | — |
| 711 | Q8 | — | 2 | 4 | no | — |
| 712 | Q8 | — | 6 | 8 | no | — |
| 713 | Q8 | — | 6 | 8 | no | — |
| 714 | Q8 | — | 12 | 8 | no | — |
| 715 | Q8 | — | 12 | 8 | no | — |
| 716 | D4 | — | 2 | 16 | no | — |
| 717 | D4 | — | 2 | 4 | no | — |
| 718 | D4 | — | 2 | 4 | no | — |
| 719 | D4 | — | 6 | 16 | no | — |
| 720 | D4 | — | 6 | 16 | no | — |
| 721 | D4 | — | 6 | 8 | no | — |
| 722 | D4 | — | 6 | 8 | no | — |
| 723 | D4 | — | 12 | 8 | no | — |
| 724 | D4 | — | 12 | 8 | no | — |
| 725 | D4 | — | 12 | 16 | no | — |
| 726 | D4 | — | 12 | 16 | no | — |
| 727 | C2×C4 | — | 2 | 4 | no | — |
| 728 | C2×C4 | — | 2 | 16 | no | — |
| 729 | C2×C4 | — | 3 | 8 | no | — |
| 730 | C2×C4 | — | 3 | 8 | no | — |
| 731 | C2×C4 | — | 3 | 8 | no | — |
| 732 | C2×C4 | — | 4 | 4 | no | — |
| 733 | C2×C4 | — | 4 | 2 | no | — |
| 734 | C2×C4 | — | 4 | 8 | no | — |
| 735 | C2×C4 | — | 4 | 16 | no | — |
| 736 | C2×C4 | — | 4 | 2 | no | — |
| 737 | C2×C4 | — | 6 | 8 | no | — |
| 738 | C2×C4 | — | 6 | 16 | no | — |
| 739 | C2×C4 | — | 6 | 16 | no | — |
| 740 | C2×C4 | — | 12 | 32 | no | — |
| 741 | C2×C4 | — | 12 | 4 | no | — |
| 742 | C2×C4 | — | 12 | 4 | no | — |
| 743 | C2×C4 | C2×#235 | 1 | 4 | yes | — |
| 744 | C2×C4 | C2×#235 | 1 | 8 | yes | — |
| 745 | C2×C4 | C2×#235 | 1 | 4 | yes | — |
| 746 | C2×C4 | C2×#235 | 1 | 8 | yes | — |
| 747 | C2×C4 | C24×D3 | 1 | 8 | yes | — |
| 748 | C2×C4 | C24×D3 | 1 | 4 | yes | — |
| 749 | C2×C4 | C24×D3 | 1 | 4 | yes | — |
| 750 | C2×C4 | C24×D3 | 1 | 4 | yes | — |
| 751 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 752 | C2×C4 | C24×D3 | 1 | 2 | yes | — |
| 753 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 754 | C2×C3 | — | 2 | 4 | no | — |
| 755 | C2×C3 | — | 2 | 2 | no | — |
| 756 | C2×C3 | — | 4 | 4 | no | — |
| 757 | C2×C3 | C23×#41 | 1 | 1 | yes | characteristic |
| 758 | C2×C3 | H(7,𝔽2) | 1 | 1 | yes | characteristic |
| 759 | C2×C3 | 2−1+6 | 1 | 1 | yes | characteristic |
| 760 | D3 | — | 4 | 8 | no | — |
| 761 | C22 | — | 2 | 1 | no | — |
| 762 | C22 | — | 2 | 2 | no | — |
| 763 | C22 | — | 2 | 1 | no | — |
| 764 | C22 | — | 2 | 2 | no | — |
| 765 | C22 | — | 2 | 4 | no | — |
| 766 | C22 | — | 2 | 4 | no | — |
| 767 | C22 | — | 2 | 4 | no | — |
| 768 | C22 | — | 4 | 4 | no | — |
| 769 | C22 | — | 4 | 8 | no | — |
| 770 | C22 | — | 6 | 8 | no | — |
| 771 | C22 | — | 6 | 8 | no | — |
| 772 | C22 | — | 6 | 8 | no | — |
| 773 | C22 | — | 12 | 16 | no | — |
| 774 | C22 | C22×#235 | 1 | 2 | yes | — |
| 775 | C22 | C22×#235 | 1 | 4 | yes | — |
| 776 | C22 | C25×D3 | 1 | 1 | yes | characteristic |
| 777 | C4 | — | 2 | 4 | no | — |
| 778 | C4 | — | 2 | 8 | no | — |
| 779 | C4 | — | 2 | 4 | no | — |
| 780 | C4 | — | 2 | 4 | no | — |
| 781 | C4 | — | 6 | 8 | no | — |
| 782 | C4 | — | 6 | 8 | no | — |
| 783 | C4 | — | 6 | 8 | no | — |
| 784 | C4 | C22×#235 | 1 | 4 | yes | — |
| 785 | C4 | C22×#235 | 1 | 2 | yes | — |
| 786 | C4 | C22×#235 | 1 | 2 | yes | — |
| 787 | C3 | #62845 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 788 | C2 | — | 2 | 2 | no | — |
| 789 | C2 | — | 2 | 4 | no | — |
| 790 | C2 | — | 4 | 4 | no | — |
| 791 | C2 | — | 12 | 8 | no | — |
| 792 | C2 | C23×#235 | 1 | 1 | yes | characteristic |
| 793 | C2 | #87568 | 1 | 1 | yes | characteristic |
| 794 | C2 | #87571 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta