← #11702044
Subgroups — #11702044
Order 768.
7226 conjugacy classes of subgroups.
The subgroup lattice has 752 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C3×#3449 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #87268 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×Dic3×#41 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #86365 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #86364 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #86339 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | #86314 | C2 | 1 | 8 | yes | maximal, complemented |
| 8 | #86295 | C2 | 1 | 8 | yes | maximal, complemented |
| 9 | #86236 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #86219 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #86019 | C2 | 1 | 8 | yes | maximal, complemented |
| 12 | #86018 | C2 | 1 | 8 | yes | maximal, complemented |
| 13 | #85725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#5522 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #62686 | — | 3 | 1 | no | maximal, Sylow |
| 16 | C22×C3×#41 | C22 | 1 | 2 | yes | — |
| 17 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×#537 | C22 | 1 | 4 | yes | — |
| 19 | C3×#536 | C22 | 1 | 4 | yes | complemented |
| 20 | C3×#535 | C22 | 1 | 4 | yes | complemented |
| 21 | C3×#534 | C22 | 1 | 4 | yes | — |
| 22 | C3×#532 | C22 | 1 | 4 | yes | — |
| 23 | C3×#525 | C22 | 1 | 8 | yes | complemented |
| 24 | C2×C3×#117 | C22 | 1 | 1 | yes | characteristic |
| 25 | #5833 | C22 | 1 | 8 | yes | — |
| 26 | #5832 | C22 | 1 | 8 | yes | — |
| 27 | #5830 | C22 | 1 | 4 | yes | complemented |
| 28 | #5828 | C22 | 1 | 8 | yes | complemented |
| 29 | Dic3×#41 | C22 | 1 | 4 | yes | complemented |
| 30 | Dic3×#41 | C22 | 1 | 4 | yes | complemented |
| 31 | Dic3×#41 | C22 | 1 | 8 | yes | complemented |
| 32 | Dic3×#41 | C22 | 1 | 8 | yes | complemented |
| 33 | Dic3×#41 | C22 | 1 | 4 | yes | complemented |
| 34 | Dic3×#41 | C22 | 1 | 4 | yes | complemented |
| 35 | #5825 | C22 | 1 | 4 | yes | complemented |
| 36 | #5816 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×Q8×Dic3 | C22 | 1 | 4 | yes | complemented |
| 38 | #5805 | C22 | 1 | 4 | yes | complemented |
| 39 | #5804 | C22 | 1 | 8 | yes | — |
| 40 | C2×D4×Dic3 | C22 | 1 | 8 | yes | — |
| 41 | C2×D4×Dic3 | C22 | 1 | 4 | yes | complemented |
| 42 | #5791 | C22 | 1 | 8 | yes | complemented |
| 43 | C2×#926 | C22 | 1 | 2 | yes | — |
| 44 | C2×#926 | C22 | 1 | 4 | yes | complemented |
| 45 | C22×C4×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 46 | C22×C4×Dic3 | C22 | 1 | 4 | yes | complemented |
| 47 | #5731 | C22 | 1 | 8 | yes | complemented |
| 48 | #5728 | C22 | 1 | 8 | yes | complemented |
| 49 | #5719 | C22 | 1 | 8 | yes | complemented |
| 50 | #5716 | C22 | 1 | 8 | yes | complemented |
| 51 | #5682 | C22 | 1 | 16 | yes | complemented |
| 52 | #5680 | C22 | 1 | 16 | yes | complemented |
| 53 | #5665 | C22 | 1 | 32 | yes | complemented |
| 54 | #5649 | C22 | 1 | 32 | yes | complemented |
| 55 | #5643 | C22 | 1 | 16 | yes | complemented |
| 56 | #5625 | C22 | 1 | 16 | yes | complemented |
| 57 | #5624 | C22 | 1 | 16 | yes | complemented |
| 58 | #5622 | C22 | 1 | 16 | yes | complemented |
| 59 | #5619 | C22 | 1 | 16 | yes | complemented |
| 60 | #5617 | C22 | 1 | 16 | yes | complemented |
| 61 | #5606 | C22 | 1 | 16 | yes | complemented |
| 62 | #5603 | C22 | 1 | 16 | yes | complemented |
| 63 | #5602 | C22 | 1 | 16 | yes | complemented |
| 64 | #5600 | C22 | 1 | 16 | yes | complemented |
| 65 | #5600 | C22 | 1 | 16 | yes | complemented |
| 66 | #5596 | C22 | 1 | 16 | yes | complemented |
| 67 | #5593 | C22 | 1 | 32 | yes | complemented |
| 68 | #5586 | C22 | 1 | 32 | yes | complemented |
| 69 | #5557 | C22 | 1 | 16 | yes | complemented |
| 70 | #5538 | C22 | 1 | 32 | yes | complemented |
| 71 | C4×#237 | C22 | 1 | 16 | yes | complemented |
| 72 | #5522 | C22 | 1 | 4 | yes | complemented |
| 73 | #5522 | C22 | 1 | 4 | yes | complemented |
| 74 | #5522 | C22 | 1 | 8 | yes | complemented |
| 75 | #5519 | C22 | 1 | 8 | yes | complemented |
| 76 | #5517 | C22 | 1 | 8 | yes | complemented |
| 77 | C2×#893 | C22 | 1 | 2 | yes | complemented |
| 78 | #5500 | C22 | 1 | 4 | yes | complemented |
| 79 | C2×#887 | C22 | 1 | 2 | yes | complemented |
| 80 | C2×#67⋊C4 | C22 | 1 | 4 | yes | — |
| 81 | #5483 | C22 | 1 | 4 | yes | — |
| 82 | C2×#872 | C22 | 1 | 2 | yes | complemented |
| 83 | C2×C42×D3 | C22 | 1 | 2 | yes | complemented |
| 84 | #5470 | C22 | 1 | 4 | yes | complemented |
| 85 | #3461 | — | 3 | 4 | no | — |
| 86 | #3461 | — | 3 | 8 | no | — |
| 87 | #3460 | — | 3 | 4 | no | — |
| 88 | #3460 | — | 3 | 8 | no | — |
| 89 | #3459 | — | 3 | 8 | no | — |
| 90 | #3458 | — | 3 | 1 | no | — |
| 91 | #3455 | — | 3 | 4 | no | — |
| 92 | #3455 | — | 3 | 8 | no | — |
| 93 | #3449 | — | 3 | 2 | no | — |
| 94 | #3449 | D3 | 1 | 1 | yes | characteristic, complemented |
| 95 | #3444 | — | 3 | 4 | no | — |
| 96 | #3444 | — | 3 | 8 | no | — |
| 97 | C2×C4×#41 | — | 3 | 2 | no | — |
| 98 | C2×C4×#41 | — | 3 | 1 | no | — |
| 99 | C2×C3×#41 | — | 2 | 16 | no | — |
| 100 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 101 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 102 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 103 | C2×C3×#41 | C23 | 1 | 4 | yes | — |
| 104 | C22×C3×Q8 | C23 | 1 | 2 | yes | — |
| 105 | C22×C3×D4 | C23 | 1 | 4 | yes | — |
| 106 | C22×C3×D4 | C23 | 1 | 2 | yes | — |
| 107 | C23×C3×C4 | C23 | 1 | 4 | yes | — |
| 108 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 109 | C22×#67 | C23 | 1 | 2 | yes | — |
| 110 | C23×Dic3 | C23 | 1 | 2 | yes | — |
| 111 | C23×Dic3 | C23 | 1 | 8 | yes | — |
| 112 | C2×#237 | C23 | 1 | 16 | yes | — |
| 113 | C2×#235 | — | 2 | 8 | no | — |
| 114 | C2×#235 | C23 | 1 | 4 | yes | — |
| 115 | C2×#235 | C23 | 1 | 4 | yes | — |
| 116 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 117 | C22×C4×D3 | C23 | 1 | 2 | yes | — |
| 118 | C22×C4×D3 | C23 | 1 | 4 | yes | — |
| 119 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×C4⋊Q8 | C23 | 1 | 4 | yes | — |
| 121 | C3×#127 | C23 | 1 | 4 | yes | — |
| 122 | C3×#124 | C23 | 1 | 8 | yes | — |
| 123 | C3×#123 | C23 | 1 | 16 | yes | — |
| 124 | C3×C22⋊Q8 | C23 | 1 | 16 | yes | — |
| 125 | C3×#121 | C23 | 1 | 16 | yes | — |
| 126 | C3×#121 | C23 | 1 | 16 | yes | — |
| 127 | C3×#120 | C23 | 1 | 16 | yes | — |
| 128 | C3×C4×D4 | C23 | 1 | 16 | yes | — |
| 129 | C3×#117 | C23 | 1 | 4 | yes | — |
| 130 | C3×#117 | C23 | 1 | 4 | yes | — |
| 131 | C2×C3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 132 | C2×C3×C22⋊C4 | C23 | 1 | 2 | yes | — |
| 133 | C2×C3×C42 | C23 | 1 | 2 | yes | — |
| 134 | #953 | C23 | 1 | 16 | yes | — |
| 135 | C2×#217 | C23 | 1 | 4 | yes | — |
| 136 | C2×#217 | C23 | 1 | 8 | yes | — |
| 137 | #947 | C23 | 1 | 8 | yes | — |
| 138 | #946 | C23 | 1 | 16 | yes | — |
| 139 | Q8×Dic3 | C23 | 1 | 8 | yes | — |
| 140 | Q8×Dic3 | C23 | 1 | 8 | yes | — |
| 141 | Q8×Dic3 | C23 | 1 | 8 | yes | — |
| 142 | Q8×Dic3 | C23 | 1 | 8 | yes | — |
| 143 | #944 | C23 | 1 | 8 | yes | — |
| 144 | #940 | C23 | 1 | 8 | yes | — |
| 145 | #939 | C23 | 1 | 32 | yes | — |
| 146 | #939 | C23 | 1 | 32 | yes | — |
| 147 | #938 | C23 | 1 | 16 | yes | — |
| 148 | #938 | C23 | 1 | 16 | yes | — |
| 149 | #937 | C23 | 1 | 16 | yes | — |
| 150 | #936 | C23 | 1 | 16 | yes | — |
| 151 | #936 | C23 | 1 | 8 | yes | — |
| 152 | #935 | C23 | 1 | 32 | yes | — |
| 153 | #935 | C23 | 1 | 16 | yes | — |
| 154 | D4×Dic3 | C23 | 1 | 16 | yes | — |
| 155 | D4×Dic3 | C23 | 1 | 16 | yes | — |
| 156 | D4×Dic3 | C23 | 1 | 8 | yes | — |
| 157 | D4×Dic3 | C23 | 1 | 8 | yes | — |
| 158 | D4×Dic3 | C23 | 1 | 16 | yes | — |
| 159 | D4×Dic3 | C23 | 1 | 16 | yes | — |
| 160 | D4×Dic3 | C23 | 1 | 16 | yes | — |
| 161 | D4×Dic3 | C23 | 1 | 8 | yes | — |
| 162 | D4×Dic3 | C23 | 1 | 8 | yes | — |
| 163 | #930 | C23 | 1 | 16 | yes | — |
| 164 | #929 | C23 | 1 | 16 | yes | — |
| 165 | C4×#67 | C23 | 1 | 32 | yes | — |
| 166 | C2×(C2×D3)⋊C4 | C23 | 1 | 4 | yes | — |
| 167 | #926 | C23 | 1 | 16 | yes | — |
| 168 | #926 | C23 | 1 | 4 | yes | — |
| 169 | #926 | C23 | 1 | 4 | yes | — |
| 170 | #926 | C23 | 1 | 4 | yes | — |
| 171 | #926 | C23 | 1 | 4 | yes | — |
| 172 | #926 | C23 | 1 | 8 | yes | — |
| 173 | #926 | C23 | 1 | 8 | yes | — |
| 174 | C2×C4⋊Dic3 | C23 | 1 | 8 | yes | — |
| 175 | C2×C4⋊Dic3 | C23 | 1 | 4 | yes | — |
| 176 | #924 | C23 | 1 | 16 | yes | — |
| 177 | #924 | C23 | 1 | 16 | yes | — |
| 178 | C2×Dic3⋊C4 | C23 | 1 | 4 | yes | — |
| 179 | C2×C4×Dic3 | C23 | 1 | 8 | yes | — |
| 180 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 181 | C2×C4×Dic3 | C23 | 1 | 4 | yes | — |
| 182 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 183 | C2×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 184 | C2×C4×Dic3 | C23 | 1 | 4 | yes | — |
| 185 | C2×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 186 | C2×C4×Dic3 | C23 | 1 | 2 | yes | — |
| 187 | C2×C4×Dic3 | C23 | 1 | 4 | yes | — |
| 188 | C2×C4×Dic3 | C23 | 1 | 8 | yes | — |
| 189 | C2×C4×Dic3 | C23 | 1 | 8 | yes | — |
| 190 | C2×C4×Dic3 | C23 | 1 | 16 | yes | — |
| 191 | #898 | C23 | 1 | 32 | yes | — |
| 192 | #897 | C23 | 1 | 16 | yes | — |
| 193 | #893 | C23 | 1 | 8 | yes | — |
| 194 | #893 | C23 | 1 | 8 | yes | — |
| 195 | #892 | C23 | 1 | 16 | yes | — |
| 196 | #890 | C23 | 1 | 16 | yes | — |
| 197 | #890 | C23 | 1 | 16 | yes | — |
| 198 | #889 | C23 | 1 | 32 | yes | — |
| 199 | #888 | C23 | 1 | 16 | yes | — |
| 200 | #887 | C23 | 1 | 16 | yes | — |
| 201 | #887 | C23 | 1 | 8 | yes | — |
| 202 | #887 | C23 | 1 | 8 | yes | — |
| 203 | #886 | C23 | 1 | 32 | yes | — |
| 204 | #885 | C23 | 1 | 32 | yes | — |
| 205 | #883 | C23 | 1 | 32 | yes | — |
| 206 | #67⋊C4 | C23 | 1 | 16 | yes | — |
| 207 | #67⋊C4 | C23 | 1 | 32 | yes | — |
| 208 | #67⋊C4 | C23 | 1 | 16 | yes | — |
| 209 | #879 | C23 | 1 | 32 | yes | — |
| 210 | #879 | C23 | 1 | 32 | yes | — |
| 211 | #878 | C23 | 1 | 32 | yes | — |
| 212 | #878 | C23 | 1 | 32 | yes | — |
| 213 | #877 | C23 | 1 | 32 | yes | — |
| 214 | #872 | C23 | 1 | 8 | yes | — |
| 215 | #872 | C23 | 1 | 8 | yes | — |
| 216 | C42×D3 | C23 | 1 | 8 | yes | — |
| 217 | C42×D3 | C23 | 1 | 4 | yes | — |
| 218 | C42×D3 | C23 | 1 | 4 | yes | — |
| 219 | #870 | C23 | 1 | 8 | yes | — |
| 220 | #869 | C23 | 1 | 8 | yes | — |
| 221 | C4×Dic6 | C23 | 1 | 16 | yes | — |
| 222 | C22×#41 | — | 3 | 1 | no | — |
| 223 | C22×#41 | C2×D3 | 1 | 2 | yes | — |
| 224 | #544 | — | 3 | 8 | no | — |
| 225 | #544 | — | 3 | 4 | no | — |
| 226 | #543 | — | 3 | 4 | no | — |
| 227 | #542 | — | 3 | 16 | no | — |
| 228 | #542 | — | 3 | 16 | no | — |
| 229 | #542 | — | 3 | 16 | no | — |
| 230 | #541 | — | 3 | 8 | no | — |
| 231 | #541 | — | 3 | 16 | no | — |
| 232 | #540 | — | 3 | 8 | no | — |
| 233 | #540 | — | 3 | 16 | no | — |
| 234 | #539 | — | 3 | 32 | no | — |
| 235 | #539 | — | 3 | 16 | no | — |
| 236 | #538 | — | 3 | 16 | no | — |
| 237 | #538 | — | 3 | 32 | no | — |
| 238 | #537 | — | 3 | 8 | no | — |
| 239 | #537 | C2×D3 | 1 | 4 | yes | — |
| 240 | #536 | — | 3 | 4 | no | — |
| 241 | #536 | — | 3 | 4 | no | — |
| 242 | #536 | C2×D3 | 1 | 4 | yes | complemented |
| 243 | #535 | — | 3 | 4 | no | — |
| 244 | #535 | — | 3 | 4 | no | — |
| 245 | #535 | C2×D3 | 1 | 4 | yes | complemented |
| 246 | #534 | — | 3 | 8 | no | — |
| 247 | #534 | C2×D3 | 1 | 4 | yes | — |
| 248 | #533 | — | 3 | 8 | no | — |
| 249 | #533 | — | 3 | 16 | no | — |
| 250 | #533 | — | 3 | 8 | no | — |
| 251 | #533 | — | 3 | 4 | no | — |
| 252 | #532 | — | 3 | 8 | no | — |
| 253 | #532 | — | 3 | 8 | no | — |
| 254 | #532 | — | 3 | 16 | no | — |
| 255 | #532 | C2×D3 | 1 | 4 | yes | — |
| 256 | #529 | — | 3 | 16 | no | — |
| 257 | #529 | — | 3 | 32 | no | — |
| 258 | #529 | — | 3 | 16 | no | — |
| 259 | #529 | — | 3 | 16 | no | — |
| 260 | #529 | — | 3 | 16 | no | — |
| 261 | #529 | — | 3 | 32 | no | — |
| 262 | #529 | — | 3 | 16 | no | — |
| 263 | #525 | — | 3 | 8 | no | — |
| 264 | #525 | — | 3 | 8 | no | — |
| 265 | #525 | — | 3 | 16 | no | — |
| 266 | #525 | — | 3 | 32 | no | — |
| 267 | #525 | C2×D3 | 1 | 8 | yes | complemented |
| 268 | C4×#41 | — | 3 | 4 | no | — |
| 269 | C4×#41 | — | 3 | 4 | no | — |
| 270 | C4×#41 | — | 3 | 4 | no | — |
| 271 | C4×#41 | — | 3 | 4 | no | — |
| 272 | C4×#41 | — | 3 | 8 | no | — |
| 273 | C4×#41 | — | 3 | 8 | no | — |
| 274 | C4×#41 | — | 3 | 16 | no | — |
| 275 | C4×#41 | — | 3 | 4 | no | — |
| 276 | C4×#41 | — | 3 | 4 | no | — |
| 277 | C4×#41 | — | 3 | 8 | no | — |
| 278 | C2×C4×Q8 | — | 3 | 4 | no | — |
| 279 | C2×C4×Q8 | — | 3 | 2 | no | — |
| 280 | C2×C4×D4 | — | 3 | 8 | no | — |
| 281 | C2×C4×D4 | — | 3 | 4 | no | — |
| 282 | C2×C4×D4 | — | 3 | 2 | no | — |
| 283 | C2×C4×D4 | — | 3 | 4 | no | — |
| 284 | C2×#117 | — | 3 | 2 | no | — |
| 285 | C2×#117 | — | 3 | 4 | no | — |
| 286 | C2×#117 | — | 3 | 2 | no | — |
| 287 | C2×#117 | C2×D3 | 1 | 1 | yes | characteristic |
| 288 | C22×C42 | — | 3 | 1 | no | — |
| 289 | C22×C42 | — | 3 | 4 | no | — |
| 290 | C22×C42 | — | 3 | 2 | no | — |
| 291 | C24×C3 | C24 | 1 | 4 | yes | — |
| 292 | C24×C3 | C24 | 1 | 1 | yes | characteristic |
| 293 | C23×D3 | C24 | 1 | 2 | yes | — |
| 294 | C3×#41 | — | 2 | 16 | no | — |
| 295 | C3×#41 | — | 2 | 16 | no | — |
| 296 | C3×#41 | — | 2 | 16 | no | — |
| 297 | C3×#41 | — | 2 | 16 | no | — |
| 298 | C2×C3×Q8 | — | 2 | 8 | no | — |
| 299 | C2×C3×Q8 | C24 | 1 | 4 | yes | — |
| 300 | C2×C3×Q8 | C24 | 1 | 4 | yes | — |
| 301 | C2×C3×D4 | — | 2 | 16 | no | — |
| 302 | C2×C3×D4 | — | 2 | 8 | no | — |
| 303 | C2×C3×D4 | C24 | 1 | 8 | yes | — |
| 304 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 305 | C2×C3×D4 | C24 | 1 | 4 | yes | — |
| 306 | C2×C3×D4 | C24 | 1 | 8 | yes | — |
| 307 | C2×C3×D4 | C24 | 1 | 16 | yes | — |
| 308 | C22×C3×C4 | — | 2 | 16 | no | — |
| 309 | C22×C3×C4 | #41 | 1 | 8 | yes | complemented |
| 310 | C22×C3×C4 | C24 | 1 | 8 | yes | — |
| 311 | C22×C3×C4 | C24 | 1 | 4 | yes | — |
| 312 | C22×C3×C4 | C24 | 1 | 8 | yes | — |
| 313 | C22×C3×C4 | C24 | 1 | 4 | yes | — |
| 314 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 315 | C22×C3×C4 | C24 | 1 | 2 | yes | — |
| 316 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 317 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 318 | C2×#67 | — | 2 | 8 | no | — |
| 319 | C2×#67 | C24 | 1 | 8 | yes | — |
| 320 | C2×#67 | C24 | 1 | 32 | yes | — |
| 321 | C22×Dic3 | — | 4 | 4 | no | — |
| 322 | C22×Dic3 | — | 4 | 16 | no | — |
| 323 | C22×Dic3 | C24 | 1 | 16 | yes | — |
| 324 | C22×Dic3 | C24 | 1 | 4 | yes | — |
| 325 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 326 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 327 | C22×Dic3 | C24 | 1 | 8 | yes | — |
| 328 | C22×Dic3 | C24 | 1 | 16 | yes | — |
| 329 | C22×Dic3 | C24 | 1 | 4 | yes | — |
| 330 | C22×Dic3 | C24 | 1 | 2 | yes | — |
| 331 | #237 | — | 4 | 32 | no | — |
| 332 | #235 | — | 2 | 16 | no | — |
| 333 | #235 | — | 2 | 16 | no | — |
| 334 | C2×D12 | — | 2 | 4 | no | — |
| 335 | C2×D12 | C24 | 1 | 4 | yes | — |
| 336 | C2×C4×D3 | — | 2 | 8 | no | — |
| 337 | C2×C4×D3 | — | 4 | 8 | no | — |
| 338 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 339 | C2×C4×D3 | C24 | 1 | 4 | yes | — |
| 340 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 341 | C2×C4×D3 | C24 | 1 | 8 | yes | — |
| 342 | C2×Dic6 | — | 2 | 4 | no | — |
| 343 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 344 | C2×Dic6 | C24 | 1 | 16 | yes | — |
| 345 | C3×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 346 | C3×C4⋊C4 | C24 | 1 | 16 | yes | — |
| 347 | C3×C22⋊C4 | C24 | 1 | 32 | yes | — |
| 348 | C3×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 349 | C3×C42 | C24 | 1 | 4 | yes | — |
| 350 | C3×C42 | C24 | 1 | 4 | yes | — |
| 351 | #217 | C24 | 1 | 32 | yes | — |
| 352 | #217 | C24 | 1 | 8 | yes | — |
| 353 | #217 | C24 | 1 | 16 | yes | — |
| 354 | #217 | C24 | 1 | 16 | yes | — |
| 355 | #217 | C24 | 1 | 8 | yes | — |
| 356 | (C2×D3)⋊C4 | C24 | 1 | 16 | yes | — |
| 357 | (C2×D3)⋊C4 | C24 | 1 | 32 | yes | — |
| 358 | C4⋊Dic3 | C24 | 1 | 16 | yes | — |
| 359 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 360 | C4⋊Dic3 | C24 | 1 | 16 | yes | — |
| 361 | C4⋊Dic3 | C24 | 1 | 16 | yes | — |
| 362 | C4⋊Dic3 | C24 | 1 | 8 | yes | — |
| 363 | Dic3⋊C4 | C24 | 1 | 32 | yes | — |
| 364 | Dic3⋊C4 | C24 | 1 | 16 | yes | — |
| 365 | Dic3⋊C4 | C24 | 1 | 32 | yes | — |
| 366 | C4×Dic3 | C24 | 1 | 8 | yes | — |
| 367 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 368 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 369 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 370 | C4×Dic3 | C24 | 1 | 8 | yes | — |
| 371 | C4×Dic3 | C24 | 1 | 8 | yes | — |
| 372 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 373 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 374 | C4×Dic3 | C24 | 1 | 16 | yes | — |
| 375 | C4×Dic3 | C24 | 1 | 16 | yes | — |
| 376 | C4×Dic3 | C24 | 1 | 4 | yes | — |
| 377 | C4×Dic3 | C24 | 1 | 4 | yes | — |
| 378 | C4×Dic3 | C24 | 1 | 8 | yes | — |
| 379 | C2×#41 | — | 2 | 16 | no | — |
| 380 | C2×#41 | — | 3 | 16 | no | — |
| 381 | C2×#41 | — | 3 | 4 | no | — |
| 382 | C2×#41 | — | 3 | 4 | no | — |
| 383 | C2×#41 | — | 6 | 8 | no | — |
| 384 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 385 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 386 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 387 | C2×#41 | C22×D3 | 1 | 4 | yes | — |
| 388 | C22×Q8 | — | 3 | 1 | no | — |
| 389 | C22×Q8 | C22×D3 | 1 | 2 | yes | — |
| 390 | C22×D4 | — | 3 | 2 | no | — |
| 391 | C22×D4 | — | 3 | 1 | no | — |
| 392 | C22×D4 | C22×D3 | 1 | 4 | yes | — |
| 393 | C22×D4 | C22×D3 | 1 | 2 | yes | — |
| 394 | C23×C4 | — | 3 | 2 | no | — |
| 395 | C23×C4 | — | 3 | 8 | no | — |
| 396 | C23×C4 | — | 3 | 2 | no | — |
| 397 | C23×C4 | — | 3 | 4 | no | — |
| 398 | C23×C4 | C22×D3 | 1 | 4 | yes | — |
| 399 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 400 | C4⋊Q8 | — | 3 | 8 | no | — |
| 401 | C4⋊Q8 | — | 3 | 16 | no | — |
| 402 | C4⋊Q8 | — | 3 | 8 | no | — |
| 403 | C4⋊Q8 | C22×D3 | 1 | 4 | yes | — |
| 404 | #127 | — | 3 | 8 | no | — |
| 405 | #127 | C22×D3 | 1 | 4 | yes | — |
| 406 | #126 | — | 3 | 32 | no | — |
| 407 | #126 | — | 3 | 32 | no | — |
| 408 | #126 | — | 3 | 32 | no | — |
| 409 | #125 | — | 3 | 32 | no | — |
| 410 | #125 | — | 3 | 16 | no | — |
| 411 | #125 | — | 3 | 16 | no | — |
| 412 | #125 | — | 3 | 8 | no | — |
| 413 | #124 | — | 3 | 8 | no | — |
| 414 | #124 | — | 3 | 8 | no | — |
| 415 | #124 | — | 3 | 16 | no | — |
| 416 | #124 | — | 3 | 32 | no | — |
| 417 | #124 | C22×D3 | 1 | 8 | yes | — |
| 418 | #123 | — | 3 | 16 | no | — |
| 419 | #123 | — | 3 | 32 | no | — |
| 420 | #123 | — | 3 | 16 | no | — |
| 421 | #123 | — | 3 | 32 | no | — |
| 422 | #123 | — | 3 | 32 | no | — |
| 423 | #123 | C22×D3 | 1 | 16 | yes | — |
| 424 | C22⋊Q8 | — | 3 | 16 | no | — |
| 425 | C22⋊Q8 | — | 3 | 16 | no | — |
| 426 | C22⋊Q8 | — | 3 | 16 | no | — |
| 427 | C22⋊Q8 | — | 3 | 16 | no | — |
| 428 | C22⋊Q8 | — | 3 | 32 | no | — |
| 429 | C22⋊Q8 | — | 3 | 32 | no | — |
| 430 | C22⋊Q8 | C22×D3 | 1 | 16 | yes | — |
| 431 | #121 | — | 3 | 32 | no | — |
| 432 | #121 | — | 3 | 16 | no | — |
| 433 | #121 | — | 3 | 16 | no | — |
| 434 | #121 | — | 3 | 32 | no | — |
| 435 | #121 | — | 3 | 16 | no | — |
| 436 | #121 | C22×D3 | 1 | 16 | yes | — |
| 437 | #121 | C22×D3 | 1 | 16 | yes | — |
| 438 | #120 | — | 3 | 16 | no | — |
| 439 | #120 | — | 3 | 16 | no | — |
| 440 | #120 | C22×D3 | 1 | 16 | yes | — |
| 441 | C4×Q8 | — | 3 | 8 | no | — |
| 442 | C4×Q8 | — | 3 | 8 | no | — |
| 443 | C4×Q8 | — | 3 | 8 | no | — |
| 444 | C4×Q8 | — | 3 | 8 | no | — |
| 445 | C4×Q8 | — | 3 | 8 | no | — |
| 446 | C4×Q8 | — | 3 | 8 | no | — |
| 447 | C4×Q8 | — | 3 | 16 | no | — |
| 448 | C4×Q8 | — | 3 | 16 | no | — |
| 449 | C4×D4 | — | 3 | 16 | no | — |
| 450 | C4×D4 | — | 3 | 16 | no | — |
| 451 | C4×D4 | — | 3 | 8 | no | — |
| 452 | C4×D4 | — | 3 | 8 | no | — |
| 453 | C4×D4 | — | 3 | 16 | no | — |
| 454 | C4×D4 | — | 3 | 16 | no | — |
| 455 | C4×D4 | — | 3 | 8 | no | — |
| 456 | C4×D4 | — | 3 | 8 | no | — |
| 457 | C4×D4 | — | 3 | 16 | no | — |
| 458 | C4×D4 | — | 3 | 32 | no | — |
| 459 | C4×D4 | — | 3 | 8 | no | — |
| 460 | C4×D4 | — | 3 | 8 | no | — |
| 461 | C4×D4 | — | 3 | 16 | no | — |
| 462 | C4×D4 | — | 3 | 16 | no | — |
| 463 | C4×D4 | — | 3 | 32 | no | — |
| 464 | C4×D4 | C22×D3 | 1 | 16 | yes | — |
| 465 | #117 | — | 3 | 4 | no | — |
| 466 | #117 | — | 3 | 4 | no | — |
| 467 | #117 | — | 3 | 8 | no | — |
| 468 | #117 | — | 3 | 8 | no | — |
| 469 | #117 | — | 3 | 4 | no | — |
| 470 | #117 | — | 3 | 4 | no | — |
| 471 | #117 | — | 3 | 16 | no | — |
| 472 | #117 | — | 3 | 16 | no | — |
| 473 | #117 | — | 3 | 32 | no | — |
| 474 | #117 | — | 3 | 8 | no | — |
| 475 | #117 | — | 3 | 8 | no | — |
| 476 | #117 | C22×D3 | 1 | 4 | yes | — |
| 477 | #117 | C22×D3 | 1 | 4 | yes | — |
| 478 | C2×C4⋊C4 | — | 3 | 4 | no | — |
| 479 | C2×C4⋊C4 | — | 3 | 4 | no | — |
| 480 | C2×C4⋊C4 | — | 3 | 8 | no | — |
| 481 | C2×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 482 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 483 | C2×C22⋊C4 | — | 3 | 8 | no | — |
| 484 | C2×C22⋊C4 | — | 3 | 4 | no | — |
| 485 | C2×C22⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 486 | C2×C42 | — | 3 | 2 | no | — |
| 487 | C2×C42 | — | 3 | 1 | no | — |
| 488 | C2×C42 | — | 3 | 4 | no | — |
| 489 | C2×C42 | — | 3 | 4 | no | — |
| 490 | C2×C42 | — | 3 | 2 | no | — |
| 491 | C2×C42 | — | 3 | 4 | no | — |
| 492 | C2×C42 | — | 3 | 8 | no | — |
| 493 | C2×C42 | — | 3 | 8 | no | — |
| 494 | C2×C42 | — | 3 | 2 | no | — |
| 495 | C2×C42 | — | 3 | 1 | no | — |
| 496 | C2×C42 | — | 3 | 8 | no | — |
| 497 | C2×C42 | — | 3 | 16 | no | — |
| 498 | C2×C42 | — | 3 | 4 | no | — |
| 499 | C2×C42 | — | 3 | 4 | no | — |
| 500 | C2×C42 | — | 3 | 8 | no | — |
| 501 | C2×C42 | C22×D3 | 1 | 2 | yes | — |
| 502 | C23×C3 | — | 2 | 8 | no | — |
| 503 | C23×C3 | — | 4 | 2 | no | — |
| 504 | C23×C3 | — | 4 | 8 | no | — |
| 505 | C23×C3 | C2×#41 | 1 | 4 | yes | — |
| 506 | C23×C3 | C25 | 1 | 8 | yes | — |
| 507 | C23×C3 | C25 | 1 | 1 | yes | characteristic |
| 508 | C23×C3 | C25 | 1 | 2 | yes | — |
| 509 | C22×D3 | — | 2 | 4 | no | — |
| 510 | C22×D3 | — | 4 | 4 | no | — |
| 511 | C22×D3 | C25 | 1 | 4 | yes | — |
| 512 | C3×Q8 | — | 2 | 8 | no | — |
| 513 | C3×Q8 | — | 2 | 8 | no | — |
| 514 | C3×D4 | — | 2 | 16 | no | — |
| 515 | C3×D4 | — | 2 | 16 | no | — |
| 516 | C3×D4 | — | 2 | 8 | no | — |
| 517 | C3×D4 | — | 2 | 8 | no | — |
| 518 | C3×D4 | — | 4 | 16 | no | — |
| 519 | C2×C3×C4 | — | 2 | 8 | no | — |
| 520 | C2×C3×C4 | — | 2 | 16 | no | — |
| 521 | C2×C3×C4 | — | 2 | 16 | no | — |
| 522 | C2×C3×C4 | — | 4 | 4 | no | — |
| 523 | C2×C3×C4 | C2×#41 | 1 | 4 | yes | — |
| 524 | C2×C3×C4 | C2×#41 | 1 | 4 | yes | — |
| 525 | C2×C3×C4 | C2×#41 | 1 | 8 | yes | — |
| 526 | C2×C3×C4 | C2×#41 | 1 | 8 | yes | — |
| 527 | C2×C3×C4 | C25 | 1 | 8 | yes | — |
| 528 | C2×C3×C4 | C25 | 1 | 8 | yes | — |
| 529 | C2×C3×C4 | C25 | 1 | 2 | yes | — |
| 530 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 531 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 532 | #67 | — | 2 | 16 | no | — |
| 533 | #67 | — | 4 | 32 | no | — |
| 534 | C2×Dic3 | — | 2 | 4 | no | — |
| 535 | C2×Dic3 | — | 2 | 4 | no | — |
| 536 | C2×Dic3 | — | 2 | 32 | no | — |
| 537 | C2×Dic3 | — | 2 | 8 | no | — |
| 538 | C2×Dic3 | — | 4 | 8 | no | — |
| 539 | C2×Dic3 | — | 4 | 16 | no | — |
| 540 | C2×Dic3 | — | 4 | 4 | no | — |
| 541 | C2×Dic3 | — | 4 | 2 | no | — |
| 542 | C2×Dic3 | C25 | 1 | 4 | yes | — |
| 543 | C2×Dic3 | C25 | 1 | 2 | yes | — |
| 544 | C2×Dic3 | C25 | 1 | 4 | yes | — |
| 545 | C2×Dic3 | C25 | 1 | 16 | yes | — |
| 546 | C2×Dic3 | C25 | 1 | 2 | yes | — |
| 547 | D12 | — | 2 | 8 | no | — |
| 548 | C4×D3 | — | 2 | 8 | no | — |
| 549 | C4×D3 | — | 2 | 8 | no | — |
| 550 | C4×D3 | — | 2 | 16 | no | — |
| 551 | C4×D3 | — | 4 | 8 | no | — |
| 552 | Dic6 | — | 2 | 8 | no | — |
| 553 | Dic6 | — | 4 | 16 | no | — |
| 554 | C24 | — | 3 | 2 | no | — |
| 555 | C24 | C23×D3 | 1 | 4 | yes | — |
| 556 | C24 | C23×D3 | 1 | 1 | yes | characteristic |
| 557 | #41 | — | 2 | 16 | no | — |
| 558 | #41 | — | 2 | 16 | no | — |
| 559 | #41 | — | 2 | 16 | no | — |
| 560 | #41 | — | 2 | 16 | no | — |
| 561 | #41 | — | 6 | 16 | no | — |
| 562 | #41 | — | 6 | 16 | no | — |
| 563 | #41 | — | 12 | 32 | no | — |
| 564 | C2×Q8 | — | 2 | 8 | no | — |
| 565 | C2×Q8 | — | 3 | 4 | no | — |
| 566 | C2×Q8 | — | 3 | 16 | no | — |
| 567 | C2×Q8 | — | 6 | 4 | no | — |
| 568 | C2×Q8 | C23×D3 | 1 | 4 | yes | — |
| 569 | C2×Q8 | C23×D3 | 1 | 4 | yes | — |
| 570 | C2×D4 | — | 2 | 16 | no | — |
| 571 | C2×D4 | — | 2 | 8 | no | — |
| 572 | C2×D4 | — | 3 | 8 | no | — |
| 573 | C2×D4 | — | 3 | 32 | no | — |
| 574 | C2×D4 | — | 3 | 4 | no | — |
| 575 | C2×D4 | — | 6 | 8 | no | — |
| 576 | C2×D4 | — | 6 | 4 | no | — |
| 577 | C2×D4 | C23×D3 | 1 | 8 | yes | — |
| 578 | C2×D4 | C23×D3 | 1 | 8 | yes | — |
| 579 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 580 | C2×D4 | C23×D3 | 1 | 4 | yes | — |
| 581 | C2×D4 | C23×D3 | 1 | 16 | yes | — |
| 582 | C22×C4 | — | 2 | 16 | no | — |
| 583 | C22×C4 | — | 3 | 2 | no | — |
| 584 | C22×C4 | — | 3 | 4 | no | — |
| 585 | C22×C4 | — | 3 | 2 | no | — |
| 586 | C22×C4 | — | 3 | 16 | no | — |
| 587 | C22×C4 | — | 3 | 2 | no | — |
| 588 | C22×C4 | — | 3 | 4 | no | — |
| 589 | C22×C4 | — | 3 | 8 | no | — |
| 590 | C22×C4 | — | 3 | 16 | no | — |
| 591 | C22×C4 | — | 3 | 8 | no | — |
| 592 | C22×C4 | — | 3 | 4 | no | — |
| 593 | C22×C4 | — | 3 | 4 | no | — |
| 594 | C22×C4 | — | 3 | 8 | no | — |
| 595 | C22×C4 | — | 6 | 8 | no | — |
| 596 | C22×C4 | — | 12 | 8 | no | — |
| 597 | C22×C4 | — | 12 | 4 | no | — |
| 598 | C22×C4 | — | 12 | 16 | no | — |
| 599 | C22×C4 | #237 | 1 | 8 | yes | complemented |
| 600 | C22×C4 | C23×D3 | 1 | 4 | yes | — |
| 601 | C22×C4 | C23×D3 | 1 | 8 | yes | — |
| 602 | C22×C4 | C23×D3 | 1 | 8 | yes | — |
| 603 | C22×C4 | C23×D3 | 1 | 4 | yes | — |
| 604 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 605 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 606 | C22×C4 | C23×D3 | 1 | 2 | yes | — |
| 607 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 608 | C4⋊C4 | — | 3 | 8 | no | — |
| 609 | C4⋊C4 | — | 3 | 8 | no | — |
| 610 | C4⋊C4 | — | 3 | 16 | no | — |
| 611 | C4⋊C4 | — | 3 | 16 | no | — |
| 612 | C4⋊C4 | — | 3 | 16 | no | — |
| 613 | C4⋊C4 | — | 3 | 32 | no | — |
| 614 | C4⋊C4 | — | 3 | 32 | no | — |
| 615 | C4⋊C4 | — | 3 | 16 | no | — |
| 616 | C4⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 617 | C4⋊C4 | C23×D3 | 1 | 16 | yes | — |
| 618 | C22⋊C4 | — | 3 | 8 | no | — |
| 619 | C22⋊C4 | — | 3 | 8 | no | — |
| 620 | C22⋊C4 | — | 3 | 16 | no | — |
| 621 | C22⋊C4 | — | 3 | 16 | no | — |
| 622 | C22⋊C4 | — | 3 | 32 | no | — |
| 623 | C22⋊C4 | — | 3 | 16 | no | — |
| 624 | C22⋊C4 | — | 3 | 32 | no | — |
| 625 | C22⋊C4 | C23×D3 | 1 | 8 | yes | — |
| 626 | C22⋊C4 | C23×D3 | 1 | 32 | yes | — |
| 627 | C42 | — | 3 | 4 | no | — |
| 628 | C42 | — | 3 | 2 | no | — |
| 629 | C42 | — | 3 | 16 | no | — |
| 630 | C42 | — | 3 | 8 | no | — |
| 631 | C42 | — | 3 | 4 | no | — |
| 632 | C42 | — | 3 | 2 | no | — |
| 633 | C42 | — | 3 | 8 | no | — |
| 634 | C42 | — | 3 | 16 | no | — |
| 635 | C42 | — | 3 | 8 | no | — |
| 636 | C42 | — | 3 | 1 | no | — |
| 637 | C42 | — | 3 | 2 | no | — |
| 638 | C42 | — | 3 | 1 | no | — |
| 639 | C42 | — | 3 | 8 | no | — |
| 640 | C42 | C23×D3 | 1 | 4 | yes | — |
| 641 | C42 | C23×D3 | 1 | 4 | yes | — |
| 642 | C22×C3 | — | 2 | 4 | no | — |
| 643 | C22×C3 | — | 2 | 2 | no | — |
| 644 | C22×C3 | — | 2 | 8 | no | — |
| 645 | C22×C3 | — | 2 | 16 | no | — |
| 646 | C22×C3 | — | 4 | 4 | no | — |
| 647 | C22×C3 | — | 4 | 16 | no | — |
| 648 | C22×C3 | C22×#41 | 1 | 2 | yes | — |
| 649 | C22×C3 | C22×#41 | 1 | 4 | yes | — |
| 650 | C22×C3 | C26 | 1 | 1 | yes | characteristic |
| 651 | C2×D3 | — | 2 | 4 | no | — |
| 652 | C2×D3 | — | 2 | 8 | no | — |
| 653 | C2×D3 | — | 4 | 8 | no | — |
| 654 | C3×C4 | — | 2 | 8 | no | — |
| 655 | C3×C4 | — | 2 | 8 | no | — |
| 656 | C3×C4 | C22×#41 | 1 | 4 | yes | — |
| 657 | C3×C4 | C22×#41 | 1 | 2 | yes | — |
| 658 | C3×C4 | C22×#41 | 1 | 2 | yes | — |
| 659 | Dic3 | — | 2 | 4 | no | — |
| 660 | Dic3 | — | 2 | 16 | no | — |
| 661 | Dic3 | — | 2 | 2 | no | — |
| 662 | Dic3 | — | 2 | 4 | no | — |
| 663 | Dic3 | #585 | 1 | 4 | yes | — |
| 664 | C23 | — | 2 | 8 | no | — |
| 665 | C23 | — | 3 | 4 | no | — |
| 666 | C23 | — | 4 | 2 | no | — |
| 667 | C23 | — | 4 | 8 | no | — |
| 668 | C23 | — | 6 | 4 | no | — |
| 669 | C23 | — | 12 | 4 | no | — |
| 670 | C23 | C2×#237 | 1 | 4 | yes | — |
| 671 | C23 | C24×D3 | 1 | 8 | yes | — |
| 672 | C23 | C24×D3 | 1 | 1 | yes | characteristic |
| 673 | C23 | C24×D3 | 1 | 2 | yes | — |
| 674 | Q8 | — | 2 | 8 | no | — |
| 675 | Q8 | — | 2 | 8 | no | — |
| 676 | Q8 | — | 6 | 8 | no | — |
| 677 | Q8 | — | 12 | 16 | no | — |
| 678 | D4 | — | 2 | 16 | no | — |
| 679 | D4 | — | 2 | 16 | no | — |
| 680 | D4 | — | 2 | 8 | no | — |
| 681 | D4 | — | 2 | 8 | no | — |
| 682 | D4 | — | 4 | 16 | no | — |
| 683 | D4 | — | 6 | 16 | no | — |
| 684 | D4 | — | 6 | 8 | no | — |
| 685 | D4 | — | 12 | 32 | no | — |
| 686 | C2×C4 | — | 2 | 8 | no | — |
| 687 | C2×C4 | — | 2 | 16 | no | — |
| 688 | C2×C4 | — | 2 | 16 | no | — |
| 689 | C2×C4 | — | 3 | 2 | no | — |
| 690 | C2×C4 | — | 3 | 2 | no | — |
| 691 | C2×C4 | — | 3 | 4 | no | — |
| 692 | C2×C4 | — | 3 | 4 | no | — |
| 693 | C2×C4 | — | 3 | 16 | no | — |
| 694 | C2×C4 | — | 4 | 4 | no | — |
| 695 | C2×C4 | — | 6 | 16 | no | — |
| 696 | C2×C4 | — | 6 | 4 | no | — |
| 697 | C2×C4 | — | 6 | 8 | no | — |
| 698 | C2×C4 | — | 6 | 32 | no | — |
| 699 | C2×C4 | — | 6 | 4 | no | — |
| 700 | C2×C4 | — | 6 | 8 | no | — |
| 701 | C2×C4 | — | 6 | 8 | no | — |
| 702 | C2×C4 | — | 12 | 8 | no | — |
| 703 | C2×C4 | — | 12 | 2 | no | — |
| 704 | C2×C4 | — | 12 | 4 | no | — |
| 705 | C2×C4 | — | 12 | 16 | no | — |
| 706 | C2×C4 | — | 12 | 8 | no | — |
| 707 | C2×C4 | C2×#237 | 1 | 8 | yes | — |
| 708 | C2×C4 | C2×#237 | 1 | 4 | yes | — |
| 709 | C2×C4 | C2×#237 | 1 | 8 | yes | — |
| 710 | C2×C4 | C2×#237 | 1 | 4 | yes | — |
| 711 | C2×C4 | C24×D3 | 1 | 8 | yes | — |
| 712 | C2×C4 | C24×D3 | 1 | 8 | yes | — |
| 713 | C2×C4 | C24×D3 | 1 | 2 | yes | — |
| 714 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 715 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 716 | C2×C3 | — | 2 | 2 | no | — |
| 717 | C2×C3 | — | 2 | 4 | no | — |
| 718 | C2×C3 | — | 4 | 8 | no | — |
| 719 | C2×C3 | C23×#41 | 1 | 1 | yes | characteristic |
| 720 | C2×C3 | C2×#585 | 1 | 2 | yes | — |
| 721 | D3 | — | 4 | 4 | no | — |
| 722 | C22 | — | 2 | 2 | no | — |
| 723 | C22 | — | 2 | 4 | no | — |
| 724 | C22 | — | 2 | 8 | no | — |
| 725 | C22 | — | 2 | 16 | no | — |
| 726 | C22 | — | 4 | 4 | no | — |
| 727 | C22 | — | 4 | 16 | no | — |
| 728 | C22 | — | 6 | 4 | no | — |
| 729 | C22 | — | 6 | 8 | no | — |
| 730 | C22 | — | 12 | 8 | no | — |
| 731 | C22 | C22×#237 | 1 | 4 | yes | — |
| 732 | C22 | C22×#237 | 1 | 2 | yes | — |
| 733 | C22 | C25×D3 | 1 | 1 | yes | characteristic |
| 734 | C4 | — | 2 | 8 | no | — |
| 735 | C4 | — | 2 | 8 | no | — |
| 736 | C4 | — | 3 | 4 | no | — |
| 737 | C4 | — | 6 | 4 | no | — |
| 738 | C4 | — | 6 | 2 | no | — |
| 739 | C4 | — | 6 | 4 | no | — |
| 740 | C4 | — | 6 | 16 | no | — |
| 741 | C4 | C22×#237 | 1 | 2 | yes | — |
| 742 | C4 | C22×#237 | 1 | 4 | yes | — |
| 743 | C4 | C22×#237 | 1 | 2 | yes | — |
| 744 | C3 | #62686 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 745 | C2 | — | 2 | 4 | no | — |
| 746 | C2 | — | 2 | 2 | no | — |
| 747 | C2 | — | 4 | 8 | no | — |
| 748 | C2 | — | 12 | 4 | no | — |
| 749 | C2 | C23×#237 | 1 | 1 | yes | characteristic |
| 750 | C2 | D3×#585 | 1 | 2 | yes | — |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta