Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
970 conjugacy classes of subgroups.
The subgroup lattice has 782 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86181 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #83146 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #79305 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #74316 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#1521 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #70785 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #69566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #68325 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #68316 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #68292 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #68285 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #18464 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C3×#529 | C22 | 1 | 1 | yes | characteristic |
| 14 | #5712 | — | 2 | 1 | no | — |
| 15 | #5712 | — | 2 | 1 | no | — |
| 16 | #5696 | — | 2 | 1 | no | — |
| 17 | #5669 | — | 2 | 1 | no | — |
| 18 | #5658 | — | 2 | 1 | no | — |
| 19 | #5650 | — | 2 | 1 | no | — |
| 20 | #5634 | C22 | 1 | 1 | yes | characteristic |
| 21 | #5623 | C22 | 1 | 1 | yes | characteristic |
| 22 | #5617 | C22 | 1 | 1 | yes | characteristic |
| 23 | #5602 | C22 | 1 | 1 | yes | characteristic |
| 24 | #5583 | — | 2 | 1 | no | — |
| 25 | #5564 | — | 2 | 1 | no | — |
| 26 | #5556 | — | 2 | 1 | no | — |
| 27 | #5539 | — | 2 | 1 | no | — |
| 28 | #5533 | — | 2 | 1 | no | — |
| 29 | #5531 | — | 2 | 1 | no | — |
| 30 | C2×#876 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#874 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 33 | C3×#431 | C22 | 1 | 1 | yes | characteristic |
| 34 | C3×#383 | C22 | 1 | 1 | yes | characteristic |
| 35 | #5067 | — | 2 | 1 | no | — |
| 36 | #5058 | — | 2 | 1 | no | — |
| 37 | #5046 | C22 | 1 | 2 | yes | — |
| 38 | #5036 | C22 | 1 | 2 | yes | — |
| 39 | #5027 | — | 2 | 1 | no | — |
| 40 | #5015 | — | 2 | 1 | no | — |
| 41 | #4926 | C22 | 1 | 1 | yes | characteristic |
| 42 | #4848 | — | 2 | 1 | no | — |
| 43 | #4848 | — | 2 | 1 | no | — |
| 44 | #4731 | C22 | 1 | 2 | yes | — |
| 45 | #4731 | C22 | 1 | 2 | yes | — |
| 46 | #4694 | — | 2 | 1 | no | — |
| 47 | #4693 | — | 2 | 1 | no | — |
| 48 | #4672 | — | 2 | 1 | no | — |
| 49 | #4672 | — | 2 | 1 | no | — |
| 50 | #4672 | C22 | 1 | 2 | yes | — |
| 51 | #4671 | — | 2 | 1 | no | — |
| 52 | #4671 | — | 2 | 1 | no | — |
| 53 | #4671 | C22 | 1 | 2 | yes | — |
| 54 | C3×#328 | C22 | 1 | 2 | yes | — |
| 55 | C3×#327 | C22 | 1 | 2 | yes | — |
| 56 | #4469 | C22 | 1 | 2 | yes | — |
| 57 | #4468 | C22 | 1 | 2 | yes | — |
| 58 | #4452 | C22 | 1 | 2 | yes | — |
| 59 | #4452 | C22 | 1 | 2 | yes | — |
| 60 | #3564 | — | 3 | 1 | no | — |
| 61 | #3217 | — | 3 | 1 | no | — |
| 62 | #3208 | — | 3 | 1 | no | — |
| 63 | #2818 | — | 3 | 1 | no | — |
| 64 | #1600 | — | 3 | 2 | no | — |
| 65 | #1599 | — | 3 | 2 | no | — |
| 66 | #1597 | — | 3 | 2 | no | — |
| 67 | #1596 | — | 3 | 2 | no | — |
| 68 | #1521 | D3 | 1 | 1 | yes | characteristic, complemented |
| 69 | #1515 | — | 3 | 1 | no | — |
| 70 | #1473 | — | 3 | 1 | no | — |
| 71 | C22×D12 | — | 2 | 1 | no | — |
| 72 | C22×D12 | — | 2 | 1 | no | — |
| 73 | C22×D12 | — | 2 | 2 | no | — |
| 74 | C22×D12 | C23 | 1 | 2 | yes | — |
| 75 | C3×#126 | — | 2 | 1 | no | — |
| 76 | C3×#125 | D4 | 1 | 1 | yes | characteristic, complemented |
| 77 | C3×#124 | D4 | 1 | 1 | yes | characteristic, complemented |
| 78 | C3×#123 | — | 2 | 1 | no | — |
| 79 | C3×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 80 | C3×#121 | C23 | 1 | 1 | yes | characteristic |
| 81 | C3×C4×Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 82 | C3×C4×D4 | — | 2 | 1 | no | — |
| 83 | C3×C4×D4 | D4 | 1 | 1 | yes | characteristic, complemented |
| 84 | C3×#117 | — | 2 | 1 | no | — |
| 85 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 86 | #946 | — | 2 | 1 | no | — |
| 87 | #944 | — | 2 | 1 | no | — |
| 88 | C2×#215 | — | 2 | 2 | no | — |
| 89 | #939 | — | 2 | 1 | no | — |
| 90 | #937 | — | 2 | 1 | no | — |
| 91 | #935 | — | 2 | 1 | no | — |
| 92 | #935 | — | 2 | 1 | no | — |
| 93 | D4×Dic3 | — | 2 | 1 | no | — |
| 94 | D4×Dic3 | — | 2 | 1 | no | — |
| 95 | C2×#213 | — | 2 | 2 | no | — |
| 96 | #929 | — | 2 | 1 | no | — |
| 97 | C4×#67 | — | 2 | 1 | no | — |
| 98 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 99 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 100 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 101 | C2×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 102 | C2×(C2×D3)⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 103 | C2×(C2×D3)⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 104 | #926 | — | 2 | 1 | no | — |
| 105 | #924 | — | 2 | 1 | no | — |
| 106 | #924 | — | 2 | 1 | no | — |
| 107 | #924 | C23 | 1 | 1 | yes | characteristic |
| 108 | #924 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 110 | C2×Dic3⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 111 | C2×Dic3⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 112 | C2×Dic3⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×#204 | — | 2 | 2 | no | — |
| 114 | C2×#204 | — | 2 | 2 | no | — |
| 115 | #898 | — | 2 | 1 | no | — |
| 116 | #898 | — | 2 | 1 | no | — |
| 117 | #898 | — | 2 | 1 | no | — |
| 118 | #898 | — | 2 | 1 | no | — |
| 119 | #897 | — | 2 | 1 | no | — |
| 120 | #897 | — | 2 | 1 | no | — |
| 121 | #896 | — | 2 | 1 | no | — |
| 122 | #896 | — | 2 | 1 | no | — |
| 123 | #896 | — | 2 | 1 | no | — |
| 124 | #892 | — | 2 | 1 | no | — |
| 125 | #890 | — | 2 | 1 | no | — |
| 126 | #890 | — | 2 | 1 | no | — |
| 127 | #889 | — | 2 | 1 | no | — |
| 128 | #889 | — | 2 | 1 | no | — |
| 129 | #889 | — | 2 | 1 | no | — |
| 130 | #889 | — | 2 | 1 | no | — |
| 131 | #889 | — | 2 | 1 | no | — |
| 132 | #888 | — | 2 | 1 | no | — |
| 133 | #888 | — | 2 | 1 | no | — |
| 134 | #887 | — | 2 | 1 | no | — |
| 135 | #886 | — | 2 | 1 | no | — |
| 136 | #886 | — | 2 | 1 | no | — |
| 137 | #885 | — | 2 | 1 | no | — |
| 138 | #885 | — | 2 | 1 | no | — |
| 139 | #885 | — | 2 | 1 | no | — |
| 140 | #883 | — | 2 | 1 | no | — |
| 141 | #883 | — | 2 | 1 | no | — |
| 142 | #67⋊C4 | — | 2 | 1 | no | — |
| 143 | D3×C22⋊C4 | — | 2 | 1 | no | — |
| 144 | #879 | — | 2 | 1 | no | — |
| 145 | #879 | — | 2 | 1 | no | — |
| 146 | #879 | — | 2 | 1 | no | — |
| 147 | #878 | — | 2 | 1 | no | — |
| 148 | #878 | — | 2 | 1 | no | — |
| 149 | #878 | — | 2 | 1 | no | — |
| 150 | #878 | — | 2 | 1 | no | — |
| 151 | #878 | — | 2 | 1 | no | — |
| 152 | #878 | — | 2 | 1 | no | — |
| 153 | #877 | — | 2 | 1 | no | — |
| 154 | #877 | — | 2 | 1 | no | — |
| 155 | #876 | — | 2 | 1 | no | — |
| 156 | #876 | — | 2 | 1 | no | — |
| 157 | #876 | — | 2 | 1 | no | — |
| 158 | #876 | — | 2 | 1 | no | — |
| 159 | #876 | — | 2 | 1 | no | — |
| 160 | #874 | — | 2 | 1 | no | — |
| 161 | #874 | — | 2 | 1 | no | — |
| 162 | #874 | — | 2 | 1 | no | — |
| 163 | #874 | — | 2 | 1 | no | — |
| 164 | #872 | — | 2 | 1 | no | — |
| 165 | #870 | — | 2 | 1 | no | — |
| 166 | #870 | — | 2 | 1 | no | — |
| 167 | #869 | D4 | 1 | 1 | yes | characteristic, complemented |
| 168 | #869 | D4 | 1 | 1 | yes | characteristic, complemented |
| 169 | C4×Dic6 | — | 2 | 1 | no | — |
| 170 | C4×Dic6 | — | 2 | 1 | no | — |
| 171 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic, complemented |
| 172 | C4×Dic6 | D4 | 1 | 1 | yes | characteristic, complemented |
| 173 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 174 | C3×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 175 | C3×C4×C8 | — | 2 | 1 | no | — |
| 176 | C3×#95 | — | 2 | 1 | no | — |
| 177 | C3×#95 | — | 2 | 1 | no | — |
| 178 | C3×#95 | C23 | 1 | 2 | yes | — |
| 179 | #830 | C23 | 1 | 2 | yes | — |
| 180 | #821 | — | 2 | 2 | no | — |
| 181 | #821 | — | 2 | 2 | no | — |
| 182 | #809 | — | 2 | 2 | no | — |
| 183 | #809 | — | 2 | 2 | no | — |
| 184 | C4⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 185 | #803 | — | 2 | 1 | no | — |
| 186 | #563 | — | 6 | 1 | no | — |
| 187 | #563 | — | 6 | 1 | no | — |
| 188 | #556 | — | 6 | 1 | no | — |
| 189 | #554 | — | 6 | 1 | no | — |
| 190 | #552 | — | 6 | 1 | no | — |
| 191 | #552 | — | 6 | 1 | no | — |
| 192 | #551 | — | 6 | 1 | no | — |
| 193 | #551 | — | 6 | 1 | no | — |
| 194 | #544 | — | 3 | 1 | no | — |
| 195 | #543 | — | 3 | 1 | no | — |
| 196 | #542 | — | 6 | 1 | no | — |
| 197 | #541 | — | 6 | 1 | no | — |
| 198 | #541 | — | 6 | 1 | no | — |
| 199 | #539 | — | 3 | 1 | no | — |
| 200 | #539 | — | 6 | 1 | no | — |
| 201 | #538 | — | 3 | 1 | no | — |
| 202 | #533 | — | 3 | 1 | no | — |
| 203 | C2×#127 | — | 3 | 1 | no | — |
| 204 | #529 | C2×D3 | 1 | 1 | yes | characteristic |
| 205 | C2×#126 | — | 3 | 1 | no | — |
| 206 | #496 | — | 6 | 1 | no | — |
| 207 | #492 | — | 6 | 1 | no | — |
| 208 | #490 | — | 6 | 1 | no | — |
| 209 | #486 | — | 6 | 1 | no | — |
| 210 | #460 | — | 6 | 1 | no | — |
| 211 | #460 | — | 6 | 1 | no | — |
| 212 | #460 | — | 6 | 1 | no | — |
| 213 | #459 | — | 6 | 1 | no | — |
| 214 | #450 | — | 3 | 2 | no | — |
| 215 | #450 | — | 3 | 2 | no | — |
| 216 | #450 | — | 3 | 2 | no | — |
| 217 | #447 | — | 3 | 2 | no | — |
| 218 | #432 | — | 3 | 1 | no | — |
| 219 | #431 | C2×D3 | 1 | 1 | yes | characteristic |
| 220 | #394 | — | 3 | 2 | no | — |
| 221 | #394 | — | 6 | 1 | no | — |
| 222 | #394 | — | 6 | 1 | no | — |
| 223 | #392 | — | 3 | 2 | no | — |
| 224 | #392 | — | 6 | 1 | no | — |
| 225 | #392 | — | 6 | 1 | no | — |
| 226 | #383 | C2×D3 | 1 | 1 | yes | characteristic |
| 227 | #328 | — | 3 | 2 | no | — |
| 228 | #328 | — | 3 | 2 | no | — |
| 229 | #328 | C2×D3 | 1 | 2 | yes | — |
| 230 | #327 | C2×D3 | 1 | 2 | yes | — |
| 231 | #324 | — | 3 | 2 | no | — |
| 232 | #323 | — | 3 | 2 | no | — |
| 233 | C23×D3 | — | 2 | 2 | no | — |
| 234 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 235 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 236 | C2×C3×D4 | — | 2 | 1 | no | — |
| 237 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C22×C3×C4 | — | 2 | 1 | no | — |
| 239 | C22×C3×C4 | — | 2 | 2 | no | — |
| 240 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 243 | C2×#67 | — | 2 | 1 | no | — |
| 244 | C2×#67 | — | 2 | 1 | no | — |
| 245 | C22×Dic3 | — | 2 | 1 | no | — |
| 246 | C22×Dic3 | — | 2 | 1 | no | — |
| 247 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 250 | C2×D12 | — | 2 | 2 | no | — |
| 251 | C2×D12 | — | 2 | 2 | no | — |
| 252 | C2×D12 | — | 4 | 1 | no | — |
| 253 | C2×D12 | — | 4 | 1 | no | — |
| 254 | C2×D12 | — | 4 | 1 | no | — |
| 255 | C2×D12 | — | 4 | 1 | no | — |
| 256 | C2×D12 | — | 8 | 2 | no | — |
| 257 | C2×D12 | — | 8 | 2 | no | — |
| 258 | C2×D12 | — | 8 | 2 | no | — |
| 259 | C2×D12 | — | 8 | 2 | no | — |
| 260 | C2×D12 | — | 8 | 2 | no | — |
| 261 | C2×D12 | — | 8 | 2 | no | — |
| 262 | C2×C4×D3 | — | 2 | 1 | no | — |
| 263 | C2×C4×D3 | — | 2 | 1 | no | — |
| 264 | C2×Dic6 | — | 2 | 1 | no | — |
| 265 | C2×Dic6 | — | 2 | 1 | no | — |
| 266 | C2×Dic6 | — | 2 | 1 | no | — |
| 267 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C2×C3×C8 | — | 2 | 2 | no | — |
| 270 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 271 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 272 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 273 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 274 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 277 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 278 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 279 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 280 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 281 | C3×C42 | — | 2 | 1 | no | — |
| 282 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 283 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 284 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 285 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 286 | #217 | — | 2 | 1 | no | — |
| 287 | #217 | — | 2 | 1 | no | — |
| 288 | #217 | — | 2 | 1 | no | — |
| 289 | #217 | — | 2 | 1 | no | — |
| 290 | #217 | — | 2 | 1 | no | — |
| 291 | #217 | — | 2 | 1 | no | — |
| 292 | #215 | — | 8 | 2 | no | — |
| 293 | #213 | — | 8 | 2 | no | — |
| 294 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 295 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 296 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 297 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 298 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 299 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 300 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 301 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 302 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 303 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 304 | (C2×D3)⋊C4 | — | 8 | 2 | no | — |
| 305 | (C2×D3)⋊C4 | — | 8 | 2 | no | — |
| 306 | (C2×D3)⋊C4 | — | 8 | 2 | no | — |
| 307 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 308 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 309 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 310 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 311 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 312 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 313 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 314 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 315 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 317 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 318 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 319 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 320 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 321 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 322 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 323 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 324 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 325 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 326 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 327 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 328 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 329 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 330 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 331 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 332 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 333 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 334 | C4×Dic3 | — | 2 | 1 | no | — |
| 335 | C4×Dic3 | — | 2 | 1 | no | — |
| 336 | C4×Dic3 | — | 2 | 1 | no | — |
| 337 | C4×Dic3 | — | 2 | 1 | no | — |
| 338 | C4×Dic3 | — | 2 | 1 | no | — |
| 339 | C4×Dic3 | — | 2 | 1 | no | — |
| 340 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 341 | #204 | — | 8 | 2 | no | — |
| 342 | #204 | — | 8 | 2 | no | — |
| 343 | C22×D4 | — | 3 | 2 | no | — |
| 344 | C22×D4 | — | 6 | 2 | no | — |
| 345 | C22×D4 | — | 6 | 1 | no | — |
| 346 | C22×D4 | — | 6 | 1 | no | — |
| 347 | C2×SD16 | — | 6 | 2 | no | — |
| 348 | C2×SD16 | — | 6 | 2 | no | — |
| 349 | C2×SD16 | — | 6 | 2 | no | — |
| 350 | C2×D8 | — | 6 | 2 | no | — |
| 351 | C4⋊Q8 | — | 3 | 1 | no | — |
| 352 | C4⋊Q8 | — | 3 | 1 | no | — |
| 353 | C4⋊Q8 | — | 6 | 1 | no | — |
| 354 | C4⋊Q8 | — | 6 | 1 | no | — |
| 355 | C4⋊Q8 | — | 6 | 1 | no | — |
| 356 | #127 | — | 6 | 1 | no | — |
| 357 | #127 | — | 6 | 1 | no | — |
| 358 | #127 | — | 6 | 1 | no | — |
| 359 | #127 | — | 6 | 1 | no | — |
| 360 | #126 | — | 2 | 1 | no | — |
| 361 | #126 | — | 6 | 1 | no | — |
| 362 | #126 | — | 6 | 1 | no | — |
| 363 | #126 | — | 6 | 1 | no | — |
| 364 | #126 | — | 6 | 1 | no | — |
| 365 | #126 | — | 6 | 1 | no | — |
| 366 | #126 | — | 6 | 1 | no | — |
| 367 | #126 | — | 6 | 1 | no | — |
| 368 | #126 | — | 6 | 1 | no | — |
| 369 | #126 | — | 6 | 1 | no | — |
| 370 | #126 | — | 6 | 1 | no | — |
| 371 | #126 | — | 6 | 1 | no | — |
| 372 | #126 | — | 6 | 1 | no | — |
| 373 | #125 | — | 6 | 1 | no | — |
| 374 | #125 | — | 6 | 1 | no | — |
| 375 | #125 | — | 6 | 1 | no | — |
| 376 | #125 | — | 6 | 1 | no | — |
| 377 | #125 | — | 6 | 1 | no | — |
| 378 | #125 | — | 6 | 1 | no | — |
| 379 | #125 | — | 6 | 1 | no | — |
| 380 | #125 | — | 6 | 1 | no | — |
| 381 | #125 | — | 6 | 1 | no | — |
| 382 | #125 | D12 | 1 | 1 | yes | characteristic, complemented |
| 383 | #124 | — | 6 | 1 | no | — |
| 384 | #124 | — | 6 | 1 | no | — |
| 385 | #124 | — | 6 | 1 | no | — |
| 386 | #124 | D12 | 1 | 1 | yes | characteristic, complemented |
| 387 | #123 | — | 2 | 1 | no | — |
| 388 | #123 | — | 6 | 1 | no | — |
| 389 | #123 | — | 6 | 1 | no | — |
| 390 | #123 | — | 6 | 1 | no | — |
| 391 | #123 | — | 6 | 1 | no | — |
| 392 | #123 | — | 6 | 1 | no | — |
| 393 | #123 | — | 6 | 1 | no | — |
| 394 | #123 | — | 6 | 1 | no | — |
| 395 | C22⋊Q8 | — | 3 | 1 | no | — |
| 396 | C22⋊Q8 | — | 3 | 1 | no | — |
| 397 | C22⋊Q8 | — | 6 | 1 | no | — |
| 398 | C22⋊Q8 | — | 6 | 1 | no | — |
| 399 | C22⋊Q8 | — | 6 | 1 | no | — |
| 400 | C22⋊Q8 | — | 6 | 1 | no | — |
| 401 | C22⋊Q8 | — | 6 | 1 | no | — |
| 402 | C22⋊Q8 | — | 6 | 1 | no | — |
| 403 | C22⋊Q8 | — | 6 | 1 | no | — |
| 404 | C22⋊Q8 | — | 6 | 1 | no | — |
| 405 | C22⋊Q8 | — | 6 | 1 | no | — |
| 406 | C22⋊Q8 | — | 6 | 1 | no | — |
| 407 | C22⋊Q8 | — | 6 | 1 | no | — |
| 408 | C22⋊Q8 | — | 6 | 1 | no | — |
| 409 | C22⋊Q8 | — | 6 | 1 | no | — |
| 410 | C22⋊Q8 | — | 6 | 1 | no | — |
| 411 | C22⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 412 | #121 | — | 6 | 1 | no | — |
| 413 | #121 | C22×D3 | 1 | 1 | yes | characteristic |
| 414 | #120 | — | 6 | 1 | no | — |
| 415 | C4×Q8 | — | 3 | 1 | no | — |
| 416 | C4×Q8 | — | 3 | 1 | no | — |
| 417 | C4×Q8 | — | 6 | 1 | no | — |
| 418 | C4×Q8 | — | 6 | 1 | no | — |
| 419 | C4×Q8 | — | 6 | 1 | no | — |
| 420 | C4×Q8 | D12 | 1 | 1 | yes | characteristic, complemented |
| 421 | C4×D4 | — | 2 | 1 | no | — |
| 422 | C4×D4 | — | 6 | 1 | no | — |
| 423 | C4×D4 | — | 6 | 1 | no | — |
| 424 | C4×D4 | — | 6 | 1 | no | — |
| 425 | C4×D4 | — | 6 | 1 | no | — |
| 426 | C4×D4 | D12 | 1 | 1 | yes | characteristic, complemented |
| 427 | #117 | — | 2 | 1 | no | — |
| 428 | #117 | — | 6 | 1 | no | — |
| 429 | #117 | — | 6 | 1 | no | — |
| 430 | #117 | — | 6 | 1 | no | — |
| 431 | #117 | — | 6 | 1 | no | — |
| 432 | #117 | — | 6 | 1 | no | — |
| 433 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 434 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 435 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 436 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 437 | C2×C22⋊C4 | — | 3 | 1 | no | — |
| 438 | C2×C22⋊C4 | — | 3 | 1 | no | — |
| 439 | C2×C22⋊C4 | — | 3 | 1 | no | — |
| 440 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 441 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 442 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 443 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 444 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 445 | C4⋊C8 | — | 2 | 1 | no | — |
| 446 | C4⋊C8 | — | 6 | 1 | no | — |
| 447 | #102 | — | 6 | 2 | no | — |
| 448 | #102 | — | 6 | 2 | no | — |
| 449 | #102 | — | 6 | 2 | no | — |
| 450 | #102 | — | 6 | 2 | no | — |
| 451 | C22⋊C8 | — | 3 | 2 | no | — |
| 452 | C22⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 453 | #97 | — | 6 | 1 | no | — |
| 454 | C4×C8 | — | 2 | 1 | no | — |
| 455 | #95 | — | 2 | 1 | no | — |
| 456 | #95 | — | 2 | 1 | no | — |
| 457 | #95 | C22×D3 | 1 | 2 | yes | — |
| 458 | C23×C3 | — | 2 | 1 | no | — |
| 459 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 460 | C22×D3 | — | 2 | 1 | no | — |
| 461 | C22×D3 | — | 2 | 2 | no | — |
| 462 | C22×D3 | — | 4 | 1 | no | — |
| 463 | C22×D3 | — | 4 | 1 | no | — |
| 464 | C22×D3 | — | 4 | 2 | no | — |
| 465 | C22×D3 | — | 4 | 2 | no | — |
| 466 | C22×D3 | — | 4 | 2 | no | — |
| 467 | C22×D3 | — | 4 | 2 | no | — |
| 468 | C22×D3 | — | 4 | 2 | no | — |
| 469 | C22×D3 | — | 4 | 2 | no | — |
| 470 | C22×D3 | — | 4 | 2 | no | — |
| 471 | C3×Q8 | — | 4 | 1 | no | — |
| 472 | C3×D4 | — | 4 | 1 | no | — |
| 473 | C3×D4 | — | 4 | 2 | no | — |
| 474 | C2×C3×C4 | — | 2 | 2 | no | — |
| 475 | C2×C3×C4 | — | 2 | 1 | no | — |
| 476 | C2×C3×C4 | — | 2 | 1 | no | — |
| 477 | C2×C3×C4 | — | 2 | 1 | no | — |
| 478 | C2×C3×C4 | — | 4 | 1 | no | — |
| 479 | C2×C3×C4 | — | 4 | 1 | no | — |
| 480 | C2×C3×C4 | — | 4 | 2 | no | — |
| 481 | C2×C3×C4 | — | 4 | 2 | no | — |
| 482 | C2×C3×C4 | — | 4 | 2 | no | — |
| 483 | C2×C3×C4 | — | 8 | 1 | no | — |
| 484 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 485 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 486 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 487 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 488 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 489 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 490 | #67 | — | 8 | 1 | no | — |
| 491 | #67 | — | 8 | 1 | no | — |
| 492 | C2×Dic3 | — | 2 | 1 | no | — |
| 493 | C2×Dic3 | — | 2 | 1 | no | — |
| 494 | C2×Dic3 | — | 2 | 1 | no | — |
| 495 | C2×Dic3 | — | 2 | 1 | no | — |
| 496 | C2×Dic3 | — | 2 | 1 | no | — |
| 497 | C2×Dic3 | — | 2 | 1 | no | — |
| 498 | C2×Dic3 | — | 2 | 1 | no | — |
| 499 | C2×Dic3 | — | 2 | 2 | no | — |
| 500 | C2×Dic3 | — | 4 | 1 | no | — |
| 501 | C2×Dic3 | — | 4 | 1 | no | — |
| 502 | C2×Dic3 | — | 8 | 1 | no | — |
| 503 | C2×Dic3 | — | 8 | 1 | no | — |
| 504 | D12 | — | 4 | 2 | no | — |
| 505 | D12 | — | 4 | 2 | no | — |
| 506 | D12 | — | 4 | 2 | no | — |
| 507 | D12 | — | 4 | 2 | no | — |
| 508 | D12 | — | 8 | 2 | no | — |
| 509 | D12 | — | 8 | 2 | no | — |
| 510 | D12 | — | 8 | 2 | no | — |
| 511 | D12 | — | 8 | 2 | no | — |
| 512 | D12 | — | 8 | 8 | no | — |
| 513 | C4×D3 | — | 8 | 1 | no | — |
| 514 | C4×D3 | — | 8 | 1 | no | — |
| 515 | Dic6 | — | 4 | 1 | no | — |
| 516 | Dic6 | — | 4 | 1 | no | — |
| 517 | Dic6 | — | 8 | 1 | no | — |
| 518 | Dic6 | — | 8 | 1 | no | — |
| 519 | Dic6 | — | 8 | 1 | no | — |
| 520 | C3×C8 | — | 4 | 2 | no | — |
| 521 | C3⋊C8 | — | 4 | 2 | no | — |
| 522 | C24 | — | 3 | 1 | no | — |
| 523 | C24 | — | 6 | 2 | no | — |
| 524 | C2×Q8 | — | 3 | 1 | no | — |
| 525 | C2×Q8 | — | 3 | 1 | no | — |
| 526 | C2×Q8 | — | 6 | 1 | no | — |
| 527 | C2×Q8 | — | 6 | 1 | no | — |
| 528 | C2×Q8 | — | 6 | 1 | no | — |
| 529 | C2×Q8 | C2×D12 | 1 | 1 | yes | characteristic |
| 530 | C2×D4 | — | 2 | 1 | no | — |
| 531 | C2×D4 | — | 6 | 1 | no | — |
| 532 | C2×D4 | — | 6 | 1 | no | — |
| 533 | C2×D4 | — | 6 | 2 | no | — |
| 534 | C2×D4 | — | 6 | 2 | no | — |
| 535 | C2×D4 | — | 12 | 1 | no | — |
| 536 | C2×D4 | — | 12 | 1 | no | — |
| 537 | C2×D4 | — | 12 | 1 | no | — |
| 538 | C2×D4 | — | 12 | 1 | no | — |
| 539 | C2×D4 | — | 24 | 2 | no | — |
| 540 | C2×D4 | — | 24 | 2 | no | — |
| 541 | C2×D4 | — | 24 | 2 | no | — |
| 542 | C2×D4 | — | 24 | 2 | no | — |
| 543 | C2×D4 | — | 24 | 2 | no | — |
| 544 | C2×D4 | — | 24 | 2 | no | — |
| 545 | C2×D4 | C2×D12 | 1 | 1 | yes | characteristic |
| 546 | C22×C4 | — | 2 | 1 | no | — |
| 547 | C22×C4 | — | 2 | 2 | no | — |
| 548 | C22×C4 | — | 3 | 1 | no | — |
| 549 | C22×C4 | — | 3 | 1 | no | — |
| 550 | C22×C4 | — | 3 | 1 | no | — |
| 551 | C22×C4 | — | 6 | 1 | no | — |
| 552 | C22×C4 | — | 6 | 1 | no | — |
| 553 | C22×C4 | — | 6 | 1 | no | — |
| 554 | C22×C4 | — | 6 | 1 | no | — |
| 555 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 556 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 557 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 558 | SD16 | — | 24 | 2 | no | — |
| 559 | SD16 | — | 24 | 2 | no | — |
| 560 | SD16 | — | 24 | 2 | no | — |
| 561 | D8 | — | 24 | 2 | no | — |
| 562 | C2×C8 | — | 2 | 2 | no | — |
| 563 | C2×C8 | — | 6 | 2 | no | — |
| 564 | C4⋊C4 | — | 2 | 1 | no | — |
| 565 | C4⋊C4 | — | 2 | 1 | no | — |
| 566 | C4⋊C4 | — | 2 | 1 | no | — |
| 567 | C4⋊C4 | — | 2 | 1 | no | — |
| 568 | C4⋊C4 | — | 3 | 1 | no | — |
| 569 | C4⋊C4 | — | 3 | 1 | no | — |
| 570 | C4⋊C4 | — | 6 | 1 | no | — |
| 571 | C4⋊C4 | — | 6 | 1 | no | — |
| 572 | C4⋊C4 | — | 6 | 1 | no | — |
| 573 | C4⋊C4 | — | 6 | 1 | no | — |
| 574 | C4⋊C4 | — | 6 | 1 | no | — |
| 575 | C4⋊C4 | — | 6 | 1 | no | — |
| 576 | C4⋊C4 | — | 6 | 1 | no | — |
| 577 | C4⋊C4 | — | 6 | 1 | no | — |
| 578 | C4⋊C4 | — | 6 | 1 | no | — |
| 579 | C4⋊C4 | — | 6 | 1 | no | — |
| 580 | C4⋊C4 | — | 6 | 1 | no | — |
| 581 | C4⋊C4 | — | 6 | 1 | no | — |
| 582 | C4⋊C4 | — | 6 | 1 | no | — |
| 583 | C4⋊C4 | — | 6 | 1 | no | — |
| 584 | C4⋊C4 | — | 6 | 1 | no | — |
| 585 | C4⋊C4 | — | 6 | 1 | no | — |
| 586 | C4⋊C4 | — | 6 | 1 | no | — |
| 587 | C4⋊C4 | — | 6 | 1 | no | — |
| 588 | C4⋊C4 | — | 6 | 1 | no | — |
| 589 | C4⋊C4 | — | 6 | 1 | no | — |
| 590 | C4⋊C4 | — | 6 | 1 | no | — |
| 591 | C4⋊C4 | — | 6 | 1 | no | — |
| 592 | C4⋊C4 | — | 6 | 1 | no | — |
| 593 | C4⋊C4 | — | 6 | 1 | no | — |
| 594 | C4⋊C4 | — | 6 | 1 | no | — |
| 595 | C4⋊C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 596 | C4⋊C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 597 | C22⋊C4 | — | 2 | 1 | no | — |
| 598 | C22⋊C4 | — | 2 | 1 | no | — |
| 599 | C22⋊C4 | — | 2 | 1 | no | — |
| 600 | C22⋊C4 | — | 2 | 1 | no | — |
| 601 | C22⋊C4 | — | 2 | 1 | no | — |
| 602 | C22⋊C4 | — | 6 | 1 | no | — |
| 603 | C22⋊C4 | — | 6 | 1 | no | — |
| 604 | C22⋊C4 | — | 6 | 1 | no | — |
| 605 | C22⋊C4 | — | 6 | 1 | no | — |
| 606 | C22⋊C4 | — | 6 | 1 | no | — |
| 607 | C22⋊C4 | — | 6 | 1 | no | — |
| 608 | C22⋊C4 | — | 6 | 1 | no | — |
| 609 | C22⋊C4 | — | 6 | 1 | no | — |
| 610 | C22⋊C4 | — | 6 | 1 | no | — |
| 611 | C22⋊C4 | — | 6 | 1 | no | — |
| 612 | C22⋊C4 | — | 6 | 1 | no | — |
| 613 | C22⋊C4 | — | 6 | 1 | no | — |
| 614 | C22⋊C4 | — | 6 | 1 | no | — |
| 615 | C22⋊C4 | — | 6 | 1 | no | — |
| 616 | C22⋊C4 | — | 6 | 1 | no | — |
| 617 | C22⋊C4 | — | 6 | 1 | no | — |
| 618 | C22⋊C4 | — | 24 | 2 | no | — |
| 619 | C22⋊C4 | — | 24 | 2 | no | — |
| 620 | C22⋊C4 | — | 24 | 2 | no | — |
| 621 | C42 | — | 2 | 1 | no | — |
| 622 | C42 | — | 6 | 1 | no | — |
| 623 | C42 | — | 6 | 1 | no | — |
| 624 | C42 | — | 6 | 1 | no | — |
| 625 | C42 | — | 6 | 1 | no | — |
| 626 | C42 | — | 6 | 1 | no | — |
| 627 | C42 | — | 6 | 1 | no | — |
| 628 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 629 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 630 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 631 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 632 | C22×C3 | — | 2 | 1 | no | — |
| 633 | C22×C3 | — | 2 | 1 | no | — |
| 634 | C22×C3 | — | 4 | 1 | no | — |
| 635 | C22×C3 | — | 4 | 1 | no | — |
| 636 | C22×C3 | — | 4 | 1 | no | — |
| 637 | C22×C3 | C2×#120 | 1 | 1 | yes | characteristic |
| 638 | C22×C3 | #577 | 1 | 2 | yes | — |
| 639 | C2×D3 | — | 4 | 1 | no | — |
| 640 | C2×D3 | — | 4 | 1 | no | — |
| 641 | C2×D3 | — | 4 | 1 | no | — |
| 642 | C2×D3 | — | 8 | 2 | no | — |
| 643 | C2×D3 | — | 8 | 2 | no | — |
| 644 | C2×D3 | — | 8 | 2 | no | — |
| 645 | C2×D3 | — | 8 | 2 | no | — |
| 646 | C2×D3 | — | 8 | 2 | no | — |
| 647 | C2×D3 | — | 8 | 2 | no | — |
| 648 | C2×D3 | — | 8 | 2 | no | — |
| 649 | C2×D3 | — | 8 | 2 | no | — |
| 650 | C3×C4 | — | 2 | 1 | no | — |
| 651 | C3×C4 | — | 2 | 1 | no | — |
| 652 | C3×C4 | — | 2 | 1 | no | — |
| 653 | C3×C4 | — | 2 | 1 | no | — |
| 654 | C3×C4 | — | 2 | 1 | no | — |
| 655 | C3×C4 | — | 2 | 1 | no | — |
| 656 | C3×C4 | — | 4 | 1 | no | — |
| 657 | C3×C4 | — | 4 | 1 | no | — |
| 658 | C3×C4 | — | 4 | 1 | no | — |
| 659 | C3×C4 | — | 8 | 2 | no | — |
| 660 | Dic3 | — | 4 | 1 | no | — |
| 661 | Dic3 | — | 4 | 1 | no | — |
| 662 | Dic3 | — | 4 | 1 | no | — |
| 663 | Dic3 | — | 4 | 1 | no | — |
| 664 | Dic3 | — | 4 | 1 | no | — |
| 665 | Dic3 | — | 4 | 1 | no | — |
| 666 | Dic3 | — | 4 | 1 | no | — |
| 667 | C23 | — | 2 | 1 | no | — |
| 668 | C23 | — | 6 | 1 | no | — |
| 669 | C23 | — | 6 | 2 | no | — |
| 670 | C23 | — | 12 | 1 | no | — |
| 671 | C23 | — | 12 | 1 | no | — |
| 672 | C23 | — | 12 | 2 | no | — |
| 673 | C23 | — | 12 | 2 | no | — |
| 674 | C23 | — | 12 | 2 | no | — |
| 675 | C23 | — | 12 | 2 | no | — |
| 676 | C23 | — | 12 | 2 | no | — |
| 677 | C23 | — | 12 | 2 | no | — |
| 678 | C23 | — | 12 | 2 | no | — |
| 679 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 680 | Q8 | — | 4 | 1 | no | — |
| 681 | Q8 | — | 12 | 1 | no | — |
| 682 | Q8 | — | 12 | 1 | no | — |
| 683 | Q8 | — | 24 | 1 | no | — |
| 684 | Q8 | — | 24 | 1 | no | — |
| 685 | Q8 | — | 24 | 1 | no | — |
| 686 | D4 | — | 4 | 1 | no | — |
| 687 | D4 | — | 4 | 2 | no | — |
| 688 | D4 | — | 12 | 2 | no | — |
| 689 | D4 | — | 12 | 2 | no | — |
| 690 | D4 | — | 12 | 2 | no | — |
| 691 | D4 | — | 12 | 2 | no | — |
| 692 | D4 | — | 24 | 2 | no | — |
| 693 | D4 | — | 24 | 2 | no | — |
| 694 | D4 | — | 24 | 2 | no | — |
| 695 | D4 | — | 24 | 2 | no | — |
| 696 | D4 | — | 24 | 8 | no | — |
| 697 | D4 | — | 24 | 1 | no | — |
| 698 | D4 | — | 24 | 1 | no | — |
| 699 | C2×C4 | — | 2 | 2 | no | — |
| 700 | C2×C4 | — | 2 | 1 | no | — |
| 701 | C2×C4 | — | 2 | 1 | no | — |
| 702 | C2×C4 | — | 2 | 1 | no | — |
| 703 | C2×C4 | — | 4 | 1 | no | — |
| 704 | C2×C4 | — | 4 | 1 | no | — |
| 705 | C2×C4 | — | 4 | 2 | no | — |
| 706 | C2×C4 | — | 4 | 2 | no | — |
| 707 | C2×C4 | — | 4 | 2 | no | — |
| 708 | C2×C4 | — | 6 | 1 | no | — |
| 709 | C2×C4 | — | 6 | 1 | no | — |
| 710 | C2×C4 | — | 6 | 1 | no | — |
| 711 | C2×C4 | — | 6 | 1 | no | — |
| 712 | C2×C4 | — | 6 | 1 | no | — |
| 713 | C2×C4 | — | 6 | 1 | no | — |
| 714 | C2×C4 | — | 6 | 1 | no | — |
| 715 | C2×C4 | — | 6 | 2 | no | — |
| 716 | C2×C4 | — | 8 | 1 | no | — |
| 717 | C2×C4 | — | 12 | 1 | no | — |
| 718 | C2×C4 | — | 12 | 1 | no | — |
| 719 | C2×C4 | — | 24 | 1 | no | — |
| 720 | C2×C4 | — | 24 | 1 | no | — |
| 721 | C2×C4 | — | 24 | 1 | no | — |
| 722 | C2×C4 | — | 24 | 1 | no | — |
| 723 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 724 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 725 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 726 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 727 | C2×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 728 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 729 | C8 | — | 4 | 2 | no | — |
| 730 | C8 | — | 12 | 2 | no | — |
| 731 | C2×C3 | — | 2 | 2 | no | — |
| 732 | C2×C3 | — | 8 | 1 | no | — |
| 733 | C2×C3 | #3010 | 1 | 1 | yes | characteristic |
| 734 | C2×C3 | #3021 | 1 | 1 | yes | characteristic |
| 735 | C2×C3 | #3027 | 1 | 1 | yes | characteristic |
| 736 | D3 | — | 8 | 1 | no | — |
| 737 | D3 | — | 16 | 2 | no | — |
| 738 | C22 | — | 2 | 1 | no | — |
| 739 | C22 | — | 2 | 1 | no | — |
| 740 | C22 | — | 4 | 1 | no | — |
| 741 | C22 | — | 4 | 1 | no | — |
| 742 | C22 | — | 4 | 1 | no | — |
| 743 | C22 | — | 12 | 1 | no | — |
| 744 | C22 | — | 12 | 1 | no | — |
| 745 | C22 | — | 12 | 1 | no | — |
| 746 | C22 | — | 24 | 2 | no | — |
| 747 | C22 | — | 24 | 2 | no | — |
| 748 | C22 | — | 24 | 2 | no | — |
| 749 | C22 | — | 24 | 2 | no | — |
| 750 | C22 | — | 24 | 2 | no | — |
| 751 | C22 | — | 24 | 2 | no | — |
| 752 | C22 | — | 24 | 2 | no | — |
| 753 | C22 | — | 24 | 2 | no | — |
| 754 | C22 | C2×#882 | 1 | 1 | yes | characteristic |
| 755 | C22 | #5770 | 1 | 2 | yes | — |
| 756 | C4 | — | 2 | 1 | no | — |
| 757 | C4 | — | 2 | 1 | no | — |
| 758 | C4 | — | 2 | 1 | no | — |
| 759 | C4 | — | 2 | 1 | no | — |
| 760 | C4 | — | 2 | 1 | no | — |
| 761 | C4 | — | 2 | 1 | no | — |
| 762 | C4 | — | 4 | 1 | no | — |
| 763 | C4 | — | 4 | 1 | no | — |
| 764 | C4 | — | 4 | 1 | no | — |
| 765 | C4 | — | 8 | 2 | no | — |
| 766 | C4 | — | 12 | 1 | no | — |
| 767 | C4 | — | 12 | 1 | no | — |
| 768 | C4 | — | 12 | 1 | no | — |
| 769 | C4 | — | 12 | 1 | no | — |
| 770 | C4 | — | 12 | 1 | no | — |
| 771 | C4 | — | 12 | 1 | no | — |
| 772 | C4 | — | 12 | 1 | no | — |
| 773 | C3 | #18464 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 774 | C2 | — | 2 | 2 | no | — |
| 775 | C2 | — | 8 | 1 | no | — |
| 776 | C2 | — | 24 | 1 | no | — |
| 777 | C2 | — | 48 | 2 | no | — |
| 778 | C2 | #78691 | 1 | 1 | yes | characteristic |
| 779 | C2 | #78836 | 1 | 1 | yes | characteristic |
| 780 | C2 | #78994 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86181 | C2 | semidirect |
| 2. #83146 | C2 | semidirect |
| 3. #79305 | C2 | semidirect |
| 4. #74316 | C2 | semidirect |
| 5. C3×#1521 | C2 | semidirect |
| 6. #70785 | C2 | semidirect |
| 7. #69566 | C2 | semidirect |
| 8. #68325 | C2 | semidirect |
| 9. #68316 | C2 | semidirect |
| 10. #68292 | C2 | semidirect |
| 11. #68285 | C2 | semidirect |
| 68. #1521 | D3 | semidirect |
| 76. C3×#125 | D4 | semidirect |
| 77. C3×#124 | D4 | semidirect |
| 81. C3×C4×Q8 | D4 | semidirect |
| 83. C3×C4×D4 | D4 | semidirect |
| 167. #869 | D4 | semidirect |
| 168. #869 | D4 | semidirect |
| 171. C4×Dic6 | D4 | semidirect |
| 172. C4×Dic6 | D4 | semidirect |
| 382. #125 | D12 | semidirect |
| 386. #124 | D12 | semidirect |
| 420. C4×Q8 | D12 | semidirect |
| 426. C4×D4 | D12 | semidirect |
| 773. C3 | #18464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86181 | 2 |
| #83146 | 2 |
| #79305 | 2 |
| #74316 | 2 |
| C3×#1521 | 2 |
| #70785 | 2 |
| #69566 | 2 |
| #68325 | 2 |
| #68316 | 2 |
| #68292 | 2 |
| #68285 | 2 |
| #18464 | 3 |