Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1772 conjugacy classes of subgroups.
The subgroup lattice has 748 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743356 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11743348 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C7×#2985 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11737424 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #11737420 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #11737414 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11737414 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #11737375 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11737369 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11736831 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #11736807 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #11736788 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11736764 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11736742 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11736715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C7×#533 | C22 | 1 | 1 | yes | characteristic |
| 17 | #90421 | — | 2 | 1 | no | — |
| 18 | #90418 | — | 2 | 1 | no | — |
| 19 | #90417 | — | 2 | 1 | no | — |
| 20 | #90417 | — | 2 | 1 | no | — |
| 21 | #90391 | — | 2 | 2 | no | — |
| 22 | #90381 | — | 2 | 2 | no | — |
| 23 | #90325 | — | 2 | 2 | no | — |
| 24 | #90320 | — | 2 | 2 | no | — |
| 25 | #90320 | — | 2 | 2 | no | — |
| 26 | D7×C22⋊Q8 | — | 2 | 2 | no | — |
| 27 | #90270 | C22 | 1 | 2 | yes | — |
| 28 | #90270 | C22 | 1 | 4 | yes | — |
| 29 | #90270 | C22 | 1 | 2 | yes | complemented |
| 30 | #90270 | C22 | 1 | 2 | yes | complemented |
| 31 | #90268 | C22 | 1 | 2 | yes | complemented |
| 32 | #90268 | C22 | 1 | 2 | yes | complemented |
| 33 | Q8×D28 | C22 | 1 | 2 | yes | — |
| 34 | #90226 | C22 | 1 | 4 | yes | — |
| 35 | #90212 | C22 | 1 | 2 | yes | — |
| 36 | #90210 | C22 | 1 | 2 | yes | — |
| 37 | #90168 | C22 | 1 | 1 | yes | characteristic |
| 38 | #90168 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×C4×D28 | C22 | 1 | 1 | yes | characteristic |
| 40 | #90161 | C22 | 1 | 1 | yes | characteristic |
| 41 | C7×#446 | C22 | 1 | 2 | yes | complemented |
| 42 | C7×#446 | C22 | 1 | 4 | yes | complemented |
| 43 | C7×C8×Q8 | C22 | 1 | 2 | yes | complemented |
| 44 | C7×#433 | C22 | 1 | 4 | yes | — |
| 45 | C7×#432 | C22 | 1 | 1 | yes | characteristic |
| 46 | C7×#431 | C22 | 1 | 1 | yes | characteristic |
| 47 | #89619 | C22 | 1 | 4 | yes | — |
| 48 | #89619 | C22 | 1 | 4 | yes | — |
| 49 | #89619 | C22 | 1 | 4 | yes | complemented |
| 50 | #89619 | C22 | 1 | 4 | yes | complemented |
| 51 | #89619 | C22 | 1 | 4 | yes | complemented |
| 52 | #89618 | C22 | 1 | 2 | yes | — |
| 53 | #89618 | C22 | 1 | 2 | yes | complemented |
| 54 | #89618 | C22 | 1 | 4 | yes | complemented |
| 55 | #89615 | C22 | 1 | 2 | yes | — |
| 56 | #89615 | C22 | 1 | 4 | yes | — |
| 57 | #89615 | C22 | 1 | 2 | yes | — |
| 58 | #89615 | C22 | 1 | 4 | yes | — |
| 59 | #89614 | C22 | 1 | 2 | yes | — |
| 60 | #89614 | C22 | 1 | 2 | yes | complemented |
| 61 | #89614 | C22 | 1 | 4 | yes | complemented |
| 62 | #89509 | C22 | 1 | 4 | yes | — |
| 63 | #89509 | C22 | 1 | 4 | yes | — |
| 64 | #89508 | C22 | 1 | 2 | yes | — |
| 65 | #89507 | C22 | 1 | 2 | yes | — |
| 66 | #89504 | C22 | 1 | 2 | yes | — |
| 67 | #89504 | C22 | 1 | 2 | yes | — |
| 68 | #89485 | C22 | 1 | 2 | yes | complemented |
| 69 | #89485 | C22 | 1 | 4 | yes | complemented |
| 70 | #89483 | C22 | 1 | 4 | yes | — |
| 71 | #89483 | C22 | 1 | 4 | yes | — |
| 72 | #89483 | C22 | 1 | 4 | yes | — |
| 73 | #89474 | C22 | 1 | 4 | yes | complemented |
| 74 | #89474 | C22 | 1 | 2 | yes | complemented |
| 75 | #89466 | C22 | 1 | 1 | yes | characteristic, complemented |
| 76 | #89466 | C22 | 1 | 4 | yes | complemented |
| 77 | #89466 | C22 | 1 | 1 | yes | characteristic, complemented |
| 78 | C4×D56 | C22 | 1 | 2 | yes | — |
| 79 | C4×D56 | C22 | 1 | 4 | yes | — |
| 80 | C4×D56 | C22 | 1 | 4 | yes | — |
| 81 | C4×D56 | C22 | 1 | 2 | yes | — |
| 82 | #89455 | C22 | 1 | 4 | yes | complemented |
| 83 | #89454 | C22 | 1 | 1 | yes | characteristic, complemented |
| 84 | #89452 | C22 | 1 | 1 | yes | characteristic, complemented |
| 85 | #61847 | — | 7 | 1 | no | maximal, Sylow |
| 86 | C2×#1161 | — | 2 | 2 | no | — |
| 87 | C2×#1161 | — | 2 | 2 | no | — |
| 88 | C2×Q8×D7 | — | 2 | 2 | no | — |
| 89 | C2×#1157 | — | 2 | 1 | no | — |
| 90 | C2×#1157 | — | 2 | 1 | no | — |
| 91 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 92 | C22×C4×D7 | — | 2 | 1 | no | — |
| 93 | C7×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 94 | C7×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 95 | C7×#125 | D4 | 1 | 2 | yes | — |
| 96 | C7×C22⋊Q8 | D4 | 1 | 2 | yes | — |
| 97 | C7×C22⋊Q8 | D4 | 1 | 2 | yes | — |
| 98 | C4×C7×Q8 | C23 | 1 | 2 | yes | — |
| 99 | C4×C7×Q8 | C23 | 1 | 2 | yes | — |
| 100 | C7×#117 | C23 | 1 | 2 | yes | — |
| 101 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 102 | #6509 | — | 2 | 2 | no | — |
| 103 | #6509 | — | 2 | 2 | no | — |
| 104 | #6509 | — | 2 | 2 | no | — |
| 105 | #6509 | — | 2 | 4 | no | — |
| 106 | #6493 | — | 2 | 1 | no | — |
| 107 | #6493 | — | 2 | 1 | no | — |
| 108 | #6493 | C23 | 1 | 2 | yes | — |
| 109 | #6493 | C23 | 1 | 2 | yes | — |
| 110 | C2×(C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 111 | #6489 | C23 | 1 | 2 | yes | — |
| 112 | C2×C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 113 | #6487 | — | 2 | 1 | no | — |
| 114 | #6487 | — | 2 | 1 | no | — |
| 115 | C2×D56 | C23 | 1 | 2 | yes | — |
| 116 | C2×D56 | C23 | 1 | 4 | yes | — |
| 117 | C2×D56 | C23 | 1 | 2 | yes | — |
| 118 | #6460 | — | 2 | 4 | no | — |
| 119 | #6460 | — | 2 | 2 | no | — |
| 120 | #6459 | — | 2 | 4 | no | — |
| 121 | #6459 | — | 2 | 4 | no | — |
| 122 | #6459 | — | 2 | 4 | no | — |
| 123 | #6459 | — | 2 | 4 | no | — |
| 124 | #6459 | — | 2 | 4 | no | — |
| 125 | #6458 | — | 2 | 4 | no | — |
| 126 | #6458 | — | 2 | 4 | no | — |
| 127 | #6458 | — | 2 | 2 | no | — |
| 128 | #6458 | — | 2 | 2 | no | — |
| 129 | #6457 | — | 2 | 4 | no | — |
| 130 | #6457 | — | 2 | 4 | no | — |
| 131 | #6456 | — | 2 | 2 | no | — |
| 132 | #6456 | — | 2 | 2 | no | — |
| 133 | D7×C4⋊C4 | — | 2 | 4 | no | — |
| 134 | D7×C4⋊C4 | — | 2 | 2 | no | — |
| 135 | D7×C4⋊C4 | — | 2 | 2 | no | — |
| 136 | D7×C4⋊C4 | — | 2 | 2 | no | — |
| 137 | #6453 | — | 2 | 2 | no | — |
| 138 | #6451 | — | 2 | 2 | no | — |
| 139 | #6447 | — | 2 | 4 | no | — |
| 140 | #6447 | — | 2 | 4 | no | — |
| 141 | D7×C22⋊C4 | — | 2 | 4 | no | — |
| 142 | #6441 | — | 2 | 4 | no | — |
| 143 | #6438 | — | 2 | 1 | no | — |
| 144 | #6438 | — | 2 | 1 | no | — |
| 145 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 146 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 147 | #6437 | C23 | 1 | 4 | yes | — |
| 148 | C4×D28 | — | 2 | 1 | no | — |
| 149 | C4×D28 | — | 2 | 1 | no | — |
| 150 | C4×D28 | — | 2 | 1 | no | — |
| 151 | C4×D28 | — | 2 | 1 | no | — |
| 152 | C4×D28 | C23 | 1 | 2 | yes | — |
| 153 | C4×D28 | C23 | 1 | 2 | yes | — |
| 154 | C4×D28 | C23 | 1 | 4 | yes | — |
| 155 | C4×D28 | C23 | 1 | 2 | yes | — |
| 156 | C4×D28 | C23 | 1 | 4 | yes | — |
| 157 | C4×D28 | C23 | 1 | 4 | yes | — |
| 158 | C4×D28 | C23 | 1 | 4 | yes | — |
| 159 | C4×D28 | C23 | 1 | 2 | yes | — |
| 160 | #6433 | C23 | 1 | 4 | yes | — |
| 161 | #6433 | C23 | 1 | 2 | yes | — |
| 162 | #6433 | C23 | 1 | 4 | yes | — |
| 163 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 164 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 165 | #6432 | C23 | 1 | 4 | yes | — |
| 166 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 167 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 168 | C4×Dic14 | — | 2 | 1 | no | — |
| 169 | C4×Dic14 | — | 2 | 1 | no | — |
| 170 | C7×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 171 | C7×C4⋊C8 | C23 | 1 | 4 | yes | — |
| 172 | C7×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 173 | C7×C4⋊C8 | C23 | 1 | 4 | yes | — |
| 174 | C7×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 175 | C7×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 176 | C7×#97 | C23 | 1 | 2 | yes | — |
| 177 | C7×#97 | C23 | 1 | 4 | yes | — |
| 178 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 179 | C4×C7×C8 | C23 | 1 | 1 | yes | characteristic |
| 180 | C4×C7×C8 | C23 | 1 | 4 | yes | — |
| 181 | #6395 | C23 | 1 | 4 | yes | — |
| 182 | #6395 | C23 | 1 | 2 | yes | — |
| 183 | #6395 | C23 | 1 | 4 | yes | — |
| 184 | #6395 | C23 | 1 | 4 | yes | — |
| 185 | #6395 | C23 | 1 | 4 | yes | — |
| 186 | #6395 | C23 | 1 | 4 | yes | — |
| 187 | #6395 | C23 | 1 | 2 | yes | — |
| 188 | #6395 | C23 | 1 | 4 | yes | — |
| 189 | #6395 | C23 | 1 | 2 | yes | — |
| 190 | #6395 | C23 | 1 | 2 | yes | — |
| 191 | #6392 | C23 | 1 | 2 | yes | — |
| 192 | #6392 | C23 | 1 | 2 | yes | — |
| 193 | #6392 | C23 | 1 | 4 | yes | — |
| 194 | #6392 | C23 | 1 | 4 | yes | — |
| 195 | #6391 | C23 | 1 | 4 | yes | — |
| 196 | #6391 | C23 | 1 | 4 | yes | — |
| 197 | #6391 | C23 | 1 | 4 | yes | — |
| 198 | #3548 | — | 7 | 1 | no | — |
| 199 | #3501 | — | 7 | 1 | no | — |
| 200 | #3389 | — | 7 | 4 | no | — |
| 201 | #3384 | — | 7 | 2 | no | — |
| 202 | #3380 | — | 7 | 2 | no | — |
| 203 | #3366 | — | 7 | 2 | no | — |
| 204 | #3366 | — | 7 | 4 | no | — |
| 205 | #3358 | — | 7 | 2 | no | — |
| 206 | #3241 | — | 7 | 4 | no | — |
| 207 | #3235 | — | 7 | 1 | no | — |
| 208 | #3228 | — | 7 | 1 | no | — |
| 209 | #3122 | — | 7 | 4 | no | — |
| 210 | #3109 | — | 7 | 1 | no | — |
| 211 | #3100 | — | 7 | 1 | no | — |
| 212 | #2985 | D7 | 1 | 1 | yes | characteristic, complemented |
| 213 | C23×D7 | — | 2 | 1 | no | — |
| 214 | C2×C7×Q8 | C2×D4 | 1 | 2 | yes | — |
| 215 | C2×C7×Q8 | C2×D4 | 1 | 2 | yes | — |
| 216 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 219 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 220 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 221 | C22×Dic7 | — | 2 | 1 | no | — |
| 222 | #1161 | — | 8 | 4 | no | — |
| 223 | #1161 | — | 8 | 4 | no | — |
| 224 | Q8×D7 | — | 8 | 4 | no | — |
| 225 | #1157 | — | 8 | 2 | no | — |
| 226 | #1157 | — | 8 | 2 | no | — |
| 227 | C2×D28 | — | 2 | 1 | no | — |
| 228 | C2×D28 | — | 2 | 4 | no | — |
| 229 | C2×D28 | — | 2 | 1 | no | — |
| 230 | C2×D28 | — | 2 | 1 | no | — |
| 231 | C2×D28 | — | 2 | 1 | no | — |
| 232 | C2×D28 | — | 2 | 1 | no | — |
| 233 | C2×D28 | — | 2 | 4 | no | — |
| 234 | C2×D28 | — | 2 | 4 | no | — |
| 235 | C2×D28 | C24 | 1 | 2 | yes | — |
| 236 | C2×D28 | C24 | 1 | 2 | yes | — |
| 237 | C2×D28 | C24 | 1 | 2 | yes | — |
| 238 | C2×C4×D7 | — | 2 | 2 | no | — |
| 239 | C2×C4×D7 | — | 2 | 2 | no | — |
| 240 | C2×C4×D7 | — | 2 | 2 | no | — |
| 241 | C2×C4×D7 | — | 2 | 2 | no | — |
| 242 | C2×C4×D7 | — | 2 | 4 | no | — |
| 243 | C2×C4×D7 | — | 2 | 4 | no | — |
| 244 | C2×C4×D7 | — | 2 | 4 | no | — |
| 245 | C2×C4×D7 | — | 2 | 4 | no | — |
| 246 | C2×C4×D7 | — | 8 | 2 | no | — |
| 247 | C2×Dic14 | — | 2 | 1 | no | — |
| 248 | C2×Dic14 | — | 2 | 1 | no | — |
| 249 | C2×Dic14 | — | 2 | 1 | no | — |
| 250 | C2×Dic14 | — | 2 | 1 | no | — |
| 251 | C2×Dic14 | — | 2 | 4 | no | — |
| 252 | C2×C7×C8 | C24 | 1 | 2 | yes | — |
| 253 | C2×C7×C8 | C24 | 1 | 2 | yes | — |
| 254 | C2×C7×C8 | C24 | 1 | 4 | yes | — |
| 255 | C7×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 256 | C7×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 257 | C7×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 258 | C7×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 259 | C7×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 260 | C7×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 261 | C7×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 262 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 265 | C42×C7 | C24 | 1 | 4 | yes | — |
| 266 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 267 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 268 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 269 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 270 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 271 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 272 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 273 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 274 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 275 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 276 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 277 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 278 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 279 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 280 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 281 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 282 | C4⋊Dic7 | — | 2 | 4 | no | — |
| 283 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 284 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 285 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 286 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 287 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 288 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 289 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 290 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 291 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 292 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 293 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 294 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 295 | C4×Dic7 | — | 2 | 2 | no | — |
| 296 | D56 | — | 2 | 4 | no | — |
| 297 | D56 | — | 2 | 8 | no | — |
| 298 | D56 | — | 2 | 4 | no | — |
| 299 | #562 | — | 14 | 2 | no | — |
| 300 | #554 | — | 7 | 2 | no | — |
| 301 | #554 | — | 7 | 4 | no | — |
| 302 | #554 | — | 7 | 2 | no | — |
| 303 | #554 | — | 7 | 2 | no | — |
| 304 | #554 | — | 14 | 1 | no | — |
| 305 | #554 | — | 14 | 2 | no | — |
| 306 | #550 | — | 7 | 2 | no | — |
| 307 | #550 | — | 7 | 2 | no | — |
| 308 | D4×Q8 | — | 7 | 2 | no | — |
| 309 | D4×Q8 | — | 14 | 1 | no | — |
| 310 | #547 | — | 14 | 1 | no | — |
| 311 | #547 | — | 14 | 1 | no | — |
| 312 | #544 | — | 7 | 2 | no | — |
| 313 | #543 | — | 14 | 2 | no | — |
| 314 | #540 | — | 7 | 4 | no | — |
| 315 | #537 | — | 14 | 2 | no | — |
| 316 | #537 | — | 14 | 2 | no | — |
| 317 | #533 | — | 7 | 1 | no | — |
| 318 | #533 | C2×D7 | 1 | 1 | yes | characteristic |
| 319 | #532 | — | 7 | 1 | no | — |
| 320 | #532 | — | 7 | 1 | no | — |
| 321 | C2×C22⋊Q8 | — | 14 | 2 | no | — |
| 322 | #518 | — | 7 | 2 | no | — |
| 323 | C2×C4×D4 | — | 7 | 1 | no | — |
| 324 | #501 | — | 7 | 4 | no | — |
| 325 | #501 | — | 7 | 2 | no | — |
| 326 | #500 | — | 7 | 1 | no | — |
| 327 | #499 | — | 7 | 4 | no | — |
| 328 | #498 | — | 7 | 1 | no | — |
| 329 | #490 | — | 7 | 2 | no | — |
| 330 | #490 | — | 7 | 4 | no | — |
| 331 | #486 | — | 7 | 1 | no | — |
| 332 | #486 | — | 7 | 4 | no | — |
| 333 | #486 | — | 7 | 1 | no | — |
| 334 | #482 | — | 7 | 4 | no | — |
| 335 | #482 | — | 7 | 4 | no | — |
| 336 | #481 | — | 7 | 2 | no | — |
| 337 | #480 | — | 7 | 2 | no | — |
| 338 | #478 | — | 7 | 4 | no | — |
| 339 | #478 | — | 7 | 4 | no | — |
| 340 | #478 | — | 7 | 4 | no | — |
| 341 | #478 | — | 7 | 4 | no | — |
| 342 | #478 | — | 7 | 4 | no | — |
| 343 | #476 | — | 7 | 2 | no | — |
| 344 | #476 | — | 7 | 2 | no | — |
| 345 | #476 | — | 7 | 4 | no | — |
| 346 | #474 | — | 7 | 2 | no | — |
| 347 | #474 | — | 7 | 2 | no | — |
| 348 | #474 | — | 7 | 4 | no | — |
| 349 | #459 | — | 7 | 2 | no | — |
| 350 | #459 | — | 7 | 2 | no | — |
| 351 | #459 | — | 7 | 4 | no | — |
| 352 | #459 | — | 7 | 4 | no | — |
| 353 | #447 | — | 7 | 2 | no | — |
| 354 | #447 | — | 7 | 2 | no | — |
| 355 | #446 | C2×D7 | 1 | 2 | yes | complemented |
| 356 | #446 | C2×D7 | 1 | 4 | yes | complemented |
| 357 | C8×Q8 | C2×D7 | 1 | 2 | yes | complemented |
| 358 | #442 | — | 7 | 4 | no | — |
| 359 | #442 | — | 7 | 4 | no | — |
| 360 | #442 | — | 7 | 4 | no | — |
| 361 | C4×D8 | — | 7 | 2 | no | — |
| 362 | C4×D8 | — | 7 | 2 | no | — |
| 363 | C4×D8 | — | 7 | 4 | no | — |
| 364 | C4×D8 | — | 7 | 4 | no | — |
| 365 | #433 | C2×D7 | 1 | 4 | yes | — |
| 366 | #432 | C2×D7 | 1 | 1 | yes | characteristic |
| 367 | #431 | C2×D7 | 1 | 1 | yes | characteristic |
| 368 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 369 | C22×D7 | — | 2 | 2 | no | — |
| 370 | C22×D7 | — | 2 | 4 | no | — |
| 371 | C22×D7 | — | 2 | 2 | no | — |
| 372 | C22×D7 | — | 2 | 2 | no | — |
| 373 | C22×D7 | — | 8 | 1 | no | — |
| 374 | C22×D7 | — | 8 | 1 | no | — |
| 375 | C7×Q8 | — | 2 | 4 | no | — |
| 376 | C7×Q8 | — | 4 | 2 | no | — |
| 377 | C2×C4×C7 | — | 2 | 2 | no | — |
| 378 | C2×C4×C7 | — | 2 | 2 | no | — |
| 379 | C2×C4×C7 | — | 4 | 1 | no | — |
| 380 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 381 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 382 | C2×C4×C7 | C22×D4 | 1 | 4 | yes | — |
| 383 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 384 | C2×C4×C7 | C22×D4 | 1 | 4 | yes | — |
| 385 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 386 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 387 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 388 | C22⋊D7 | — | 8 | 2 | no | — |
| 389 | C22⋊D7 | — | 8 | 2 | no | — |
| 390 | C2×Dic7 | — | 2 | 2 | no | — |
| 391 | C2×Dic7 | — | 2 | 2 | no | — |
| 392 | C2×Dic7 | — | 2 | 2 | no | — |
| 393 | C2×Dic7 | — | 2 | 2 | no | — |
| 394 | C2×Dic7 | — | 2 | 2 | no | — |
| 395 | C2×Dic7 | — | 8 | 1 | no | — |
| 396 | D28 | — | 2 | 4 | no | — |
| 397 | D28 | — | 2 | 2 | no | — |
| 398 | D28 | — | 2 | 2 | no | — |
| 399 | D28 | — | 2 | 2 | no | — |
| 400 | D28 | — | 2 | 4 | no | — |
| 401 | D28 | — | 4 | 2 | no | — |
| 402 | D28 | — | 4 | 2 | no | — |
| 403 | D28 | — | 8 | 1 | no | — |
| 404 | D28 | — | 8 | 1 | no | — |
| 405 | D28 | — | 8 | 4 | no | — |
| 406 | D28 | — | 8 | 4 | no | — |
| 407 | D28 | 2−1+4 | 1 | 4 | yes | — |
| 408 | C4×D7 | — | 4 | 4 | no | — |
| 409 | C4×D7 | — | 4 | 4 | no | — |
| 410 | C4×D7 | — | 4 | 4 | no | — |
| 411 | C4×D7 | — | 8 | 4 | no | — |
| 412 | C4×D7 | — | 8 | 2 | no | — |
| 413 | C4×D7 | — | 8 | 4 | no | — |
| 414 | C4×D7 | — | 8 | 4 | no | — |
| 415 | C4×D7 | — | 8 | 4 | no | — |
| 416 | Dic14 | — | 4 | 2 | no | — |
| 417 | Dic14 | — | 8 | 1 | no | — |
| 418 | Dic14 | — | 8 | 1 | no | — |
| 419 | Dic14 | — | 8 | 1 | no | — |
| 420 | Dic14 | — | 8 | 4 | no | — |
| 421 | C7×C8 | — | 2 | 2 | no | — |
| 422 | C7×C8 | — | 2 | 2 | no | — |
| 423 | C7×C8 | — | 2 | 4 | no | — |
| 424 | C2×#41 | — | 14 | 2 | no | — |
| 425 | C2×#41 | — | 14 | 2 | no | — |
| 426 | C2×#41 | — | 14 | 1 | no | — |
| 427 | C2×#41 | — | 14 | 1 | no | — |
| 428 | C22×Q8 | — | 14 | 2 | no | — |
| 429 | C22×D4 | — | 7 | 1 | no | — |
| 430 | C23×C4 | — | 14 | 1 | no | — |
| 431 | C2×D8 | — | 7 | 2 | no | — |
| 432 | C2×D8 | — | 7 | 2 | no | — |
| 433 | C2×D8 | — | 7 | 4 | no | — |
| 434 | C4⋊Q8 | — | 7 | 1 | no | — |
| 435 | C4⋊Q8 | — | 7 | 1 | no | — |
| 436 | C4⋊Q8 | — | 7 | 1 | no | — |
| 437 | C4⋊Q8 | — | 7 | 1 | no | — |
| 438 | C4⋊Q8 | — | 7 | 4 | no | — |
| 439 | C4⋊Q8 | — | 14 | 2 | no | — |
| 440 | C4⋊Q8 | D28 | 1 | 1 | yes | characteristic |
| 441 | C4⋊Q8 | D28 | 1 | 1 | yes | characteristic |
| 442 | #127 | — | 7 | 1 | no | — |
| 443 | #127 | — | 7 | 1 | no | — |
| 444 | #127 | — | 7 | 4 | no | — |
| 445 | #125 | — | 7 | 2 | no | — |
| 446 | #125 | — | 7 | 4 | no | — |
| 447 | #125 | — | 7 | 4 | no | — |
| 448 | #125 | — | 14 | 2 | no | — |
| 449 | #125 | D28 | 1 | 2 | yes | — |
| 450 | #124 | — | 14 | 1 | no | — |
| 451 | #124 | — | 14 | 1 | no | — |
| 452 | #123 | — | 14 | 4 | no | — |
| 453 | #123 | — | 14 | 4 | no | — |
| 454 | C22⋊Q8 | — | 14 | 2 | no | — |
| 455 | C22⋊Q8 | — | 14 | 2 | no | — |
| 456 | C22⋊Q8 | — | 14 | 2 | no | — |
| 457 | C22⋊Q8 | — | 14 | 4 | no | — |
| 458 | C22⋊Q8 | — | 14 | 1 | no | — |
| 459 | C22⋊Q8 | — | 14 | 1 | no | — |
| 460 | C22⋊Q8 | — | 14 | 2 | no | — |
| 461 | C22⋊Q8 | — | 14 | 4 | no | — |
| 462 | C22⋊Q8 | — | 14 | 4 | no | — |
| 463 | C22⋊Q8 | — | 14 | 4 | no | — |
| 464 | C22⋊Q8 | — | 14 | 4 | no | — |
| 465 | C22⋊Q8 | — | 14 | 4 | no | — |
| 466 | C22⋊Q8 | — | 14 | 4 | no | — |
| 467 | C22⋊Q8 | — | 14 | 4 | no | — |
| 468 | C22⋊Q8 | D28 | 1 | 2 | yes | — |
| 469 | C22⋊Q8 | D28 | 1 | 2 | yes | — |
| 470 | #121 | — | 7 | 2 | no | — |
| 471 | #121 | — | 7 | 2 | no | — |
| 472 | #121 | — | 14 | 1 | no | — |
| 473 | #121 | — | 14 | 1 | no | — |
| 474 | #121 | — | 14 | 2 | no | — |
| 475 | #121 | — | 14 | 2 | no | — |
| 476 | #121 | — | 14 | 4 | no | — |
| 477 | #121 | — | 14 | 4 | no | — |
| 478 | #121 | — | 14 | 4 | no | — |
| 479 | #121 | — | 14 | 4 | no | — |
| 480 | C4×Q8 | — | 14 | 1 | no | — |
| 481 | C4×Q8 | — | 14 | 1 | no | — |
| 482 | C4×Q8 | C22×D7 | 1 | 2 | yes | — |
| 483 | C4×Q8 | C22×D7 | 1 | 2 | yes | — |
| 484 | C4×D4 | — | 7 | 2 | no | — |
| 485 | C4×D4 | — | 7 | 2 | no | — |
| 486 | C4×D4 | — | 7 | 4 | no | — |
| 487 | C4×D4 | — | 7 | 4 | no | — |
| 488 | C4×D4 | — | 7 | 2 | no | — |
| 489 | C4×D4 | — | 7 | 2 | no | — |
| 490 | C4×D4 | — | 7 | 4 | no | — |
| 491 | C4×D4 | — | 7 | 4 | no | — |
| 492 | C4×D4 | — | 14 | 2 | no | — |
| 493 | C4×D4 | — | 14 | 2 | no | — |
| 494 | C4×D4 | — | 14 | 1 | no | — |
| 495 | C4×D4 | — | 14 | 1 | no | — |
| 496 | C4×D4 | — | 14 | 1 | no | — |
| 497 | C4×D4 | — | 14 | 1 | no | — |
| 498 | #117 | — | 7 | 2 | no | — |
| 499 | #117 | C22×D7 | 1 | 2 | yes | — |
| 500 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 501 | C2×C4⋊C4 | — | 14 | 4 | no | — |
| 502 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 503 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 504 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 505 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 506 | C2×C22⋊C4 | — | 14 | 4 | no | — |
| 507 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 508 | #107 | — | 7 | 2 | no | — |
| 509 | #107 | — | 7 | 4 | no | — |
| 510 | #107 | — | 7 | 2 | no | — |
| 511 | #107 | — | 7 | 4 | no | — |
| 512 | #106 | — | 7 | 4 | no | — |
| 513 | #106 | — | 7 | 4 | no | — |
| 514 | #106 | — | 7 | 4 | no | — |
| 515 | C4⋊C8 | C22×D7 | 1 | 2 | yes | — |
| 516 | C4⋊C8 | C22×D7 | 1 | 2 | yes | — |
| 517 | C4⋊C8 | C22×D7 | 1 | 4 | yes | — |
| 518 | C4⋊C8 | C22×D7 | 1 | 4 | yes | — |
| 519 | #102 | — | 7 | 2 | no | — |
| 520 | #102 | — | 7 | 2 | no | — |
| 521 | #102 | — | 7 | 4 | no | — |
| 522 | #102 | — | 7 | 4 | no | — |
| 523 | #102 | — | 7 | 2 | no | — |
| 524 | #102 | — | 7 | 4 | no | — |
| 525 | #102 | — | 7 | 2 | no | — |
| 526 | #102 | — | 7 | 4 | no | — |
| 527 | #102 | — | 7 | 4 | no | — |
| 528 | #102 | — | 7 | 4 | no | — |
| 529 | C22⋊C8 | C22×D7 | 1 | 2 | yes | — |
| 530 | C22⋊C8 | C22×D7 | 1 | 2 | yes | — |
| 531 | #97 | C22×D7 | 1 | 2 | yes | — |
| 532 | #97 | C22×D7 | 1 | 4 | yes | — |
| 533 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 534 | C4×C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 535 | C4×C8 | C22×D7 | 1 | 4 | yes | — |
| 536 | C22×C7 | — | 2 | 1 | no | — |
| 537 | C22×C7 | — | 2 | 1 | no | — |
| 538 | C22×C7 | — | 2 | 1 | no | — |
| 539 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 540 | C2×D7 | — | 2 | 4 | no | — |
| 541 | C2×D7 | — | 4 | 2 | no | — |
| 542 | C2×D7 | — | 4 | 2 | no | — |
| 543 | C2×D7 | — | 4 | 2 | no | — |
| 544 | C2×D7 | — | 4 | 2 | no | — |
| 545 | C2×D7 | — | 4 | 2 | no | — |
| 546 | C2×D7 | — | 4 | 2 | no | — |
| 547 | C2×D7 | — | 4 | 2 | no | — |
| 548 | C2×D7 | — | 4 | 2 | no | — |
| 549 | C2×D7 | — | 8 | 4 | no | — |
| 550 | C4×C7 | — | 2 | 1 | no | — |
| 551 | C4×C7 | — | 2 | 1 | no | — |
| 552 | C4×C7 | — | 2 | 4 | no | — |
| 553 | C4×C7 | — | 2 | 1 | no | — |
| 554 | C4×C7 | — | 2 | 1 | no | — |
| 555 | C4×C7 | — | 2 | 4 | no | — |
| 556 | C4×C7 | #576 | 1 | 2 | yes | — |
| 557 | C4×C7 | C2×2−1+4 | 1 | 2 | yes | — |
| 558 | Dic7 | — | 4 | 2 | no | — |
| 559 | Dic7 | — | 4 | 2 | no | — |
| 560 | Dic7 | — | 4 | 2 | no | — |
| 561 | Dic7 | — | 4 | 2 | no | — |
| 562 | Dic7 | — | 4 | 2 | no | — |
| 563 | C24 | — | 14 | 1 | no | — |
| 564 | #41 | — | 56 | 2 | no | — |
| 565 | #41 | — | 56 | 2 | no | — |
| 566 | #41 | — | 56 | 4 | no | — |
| 567 | #41 | — | 56 | 4 | no | — |
| 568 | C2×Q8 | — | 14 | 1 | no | — |
| 569 | C2×Q8 | — | 14 | 1 | no | — |
| 570 | C2×Q8 | — | 14 | 1 | no | — |
| 571 | C2×Q8 | — | 14 | 1 | no | — |
| 572 | C2×Q8 | — | 14 | 4 | no | — |
| 573 | C2×Q8 | — | 56 | 4 | no | — |
| 574 | C2×Q8 | C2×D28 | 1 | 2 | yes | — |
| 575 | C2×Q8 | C2×D28 | 1 | 2 | yes | — |
| 576 | C2×D4 | — | 7 | 2 | no | — |
| 577 | C2×D4 | — | 7 | 2 | no | — |
| 578 | C2×D4 | — | 7 | 2 | no | — |
| 579 | C2×D4 | — | 14 | 4 | no | — |
| 580 | C2×D4 | — | 14 | 2 | no | — |
| 581 | C2×D4 | — | 14 | 2 | no | — |
| 582 | C2×D4 | — | 14 | 1 | no | — |
| 583 | C2×D4 | — | 14 | 1 | no | — |
| 584 | C2×D4 | — | 14 | 1 | no | — |
| 585 | C2×D4 | — | 14 | 4 | no | — |
| 586 | C2×D4 | — | 14 | 4 | no | — |
| 587 | C2×D4 | — | 14 | 1 | no | — |
| 588 | C2×D4 | — | 14 | 1 | no | — |
| 589 | C22×C4 | — | 14 | 1 | no | — |
| 590 | C22×C4 | — | 14 | 2 | no | — |
| 591 | C22×C4 | — | 14 | 2 | no | — |
| 592 | C22×C4 | — | 14 | 2 | no | — |
| 593 | C22×C4 | — | 14 | 4 | no | — |
| 594 | C22×C4 | — | 14 | 4 | no | — |
| 595 | C22×C4 | — | 14 | 2 | no | — |
| 596 | C22×C4 | — | 14 | 4 | no | — |
| 597 | C22×C4 | — | 14 | 4 | no | — |
| 598 | C22×C4 | — | 56 | 2 | no | — |
| 599 | C22×C4 | C2×D28 | 1 | 1 | yes | characteristic |
| 600 | C22×C4 | C2×D28 | 1 | 1 | yes | characteristic |
| 601 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 602 | D8 | — | 14 | 4 | no | — |
| 603 | D8 | — | 14 | 4 | no | — |
| 604 | D8 | — | 14 | 8 | no | — |
| 605 | C2×C8 | C23×D7 | 1 | 2 | yes | — |
| 606 | C2×C8 | C23×D7 | 1 | 2 | yes | — |
| 607 | C2×C8 | C23×D7 | 1 | 4 | yes | — |
| 608 | C4⋊C4 | — | 7 | 2 | no | — |
| 609 | C4⋊C4 | — | 7 | 2 | no | — |
| 610 | C4⋊C4 | — | 7 | 2 | no | — |
| 611 | C4⋊C4 | — | 7 | 2 | no | — |
| 612 | C4⋊C4 | — | 7 | 2 | no | — |
| 613 | C4⋊C4 | — | 14 | 2 | no | — |
| 614 | C4⋊C4 | — | 14 | 4 | no | — |
| 615 | C4⋊C4 | — | 14 | 4 | no | — |
| 616 | C4⋊C4 | — | 14 | 4 | no | — |
| 617 | C4⋊C4 | — | 14 | 4 | no | — |
| 618 | C4⋊C4 | — | 14 | 2 | no | — |
| 619 | C4⋊C4 | — | 14 | 1 | no | — |
| 620 | C4⋊C4 | — | 14 | 1 | no | — |
| 621 | C4⋊C4 | — | 14 | 1 | no | — |
| 622 | C4⋊C4 | — | 14 | 1 | no | — |
| 623 | C4⋊C4 | — | 14 | 4 | no | — |
| 624 | C4⋊C4 | — | 14 | 1 | no | — |
| 625 | C4⋊C4 | C2×D28 | 1 | 2 | yes | — |
| 626 | C4⋊C4 | C2×D28 | 1 | 4 | yes | — |
| 627 | C4⋊C4 | C2×D28 | 1 | 2 | yes | — |
| 628 | C4⋊C4 | C2×D28 | 1 | 2 | yes | — |
| 629 | C4⋊C4 | C2×D28 | 1 | 2 | yes | — |
| 630 | C4⋊C4 | C2×D28 | 1 | 4 | yes | — |
| 631 | C22⋊C4 | — | 14 | 2 | no | — |
| 632 | C22⋊C4 | — | 14 | 4 | no | — |
| 633 | C22⋊C4 | — | 14 | 4 | no | — |
| 634 | C22⋊C4 | — | 14 | 2 | no | — |
| 635 | C22⋊C4 | — | 14 | 2 | no | — |
| 636 | C22⋊C4 | — | 14 | 4 | no | — |
| 637 | C22⋊C4 | — | 14 | 4 | no | — |
| 638 | C22⋊C4 | — | 14 | 2 | no | — |
| 639 | C22⋊C4 | — | 14 | 2 | no | — |
| 640 | C22⋊C4 | — | 14 | 2 | no | — |
| 641 | C22⋊C4 | — | 14 | 2 | no | — |
| 642 | C22⋊C4 | C2×D28 | 1 | 4 | yes | — |
| 643 | C42 | — | 14 | 2 | no | — |
| 644 | C42 | C2×D28 | 1 | 1 | yes | characteristic |
| 645 | C42 | C2×D28 | 1 | 1 | yes | characteristic |
| 646 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 647 | C42 | C23×D7 | 1 | 4 | yes | — |
| 648 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 649 | C2×C7 | — | 4 | 1 | no | — |
| 650 | C2×C7 | #3486 | 1 | 1 | yes | characteristic |
| 651 | C2×C7 | C2×#576 | 1 | 1 | yes | characteristic |
| 652 | C2×C7 | #3585 | 1 | 1 | yes | characteristic |
| 653 | D7 | — | 4 | 4 | no | — |
| 654 | D7 | — | 8 | 2 | no | — |
| 655 | D7 | — | 8 | 2 | no | — |
| 656 | C23 | — | 14 | 4 | no | — |
| 657 | C23 | — | 14 | 2 | no | — |
| 658 | C23 | — | 14 | 2 | no | — |
| 659 | C23 | — | 14 | 2 | no | — |
| 660 | C23 | — | 56 | 1 | no | — |
| 661 | C23 | — | 56 | 1 | no | — |
| 662 | C23 | C22×D28 | 1 | 1 | yes | characteristic |
| 663 | Q8 | — | 2 | 4 | no | — |
| 664 | Q8 | — | 4 | 2 | no | — |
| 665 | Q8 | — | 28 | 2 | no | — |
| 666 | Q8 | — | 56 | 1 | no | — |
| 667 | Q8 | — | 56 | 4 | no | — |
| 668 | Q8 | — | 56 | 1 | no | — |
| 669 | Q8 | — | 56 | 1 | no | — |
| 670 | D4 | — | 7 | 4 | no | — |
| 671 | D4 | — | 14 | 4 | no | — |
| 672 | D4 | — | 14 | 2 | no | — |
| 673 | D4 | — | 14 | 2 | no | — |
| 674 | D4 | — | 14 | 4 | no | — |
| 675 | D4 | — | 14 | 2 | no | — |
| 676 | D4 | — | 28 | 2 | no | — |
| 677 | D4 | — | 28 | 2 | no | — |
| 678 | D4 | — | 56 | 1 | no | — |
| 679 | D4 | — | 56 | 4 | no | — |
| 680 | D4 | — | 56 | 1 | no | — |
| 681 | D4 | — | 56 | 4 | no | — |
| 682 | D4 | — | 56 | 2 | no | — |
| 683 | D4 | — | 56 | 2 | no | — |
| 684 | C2×C4 | — | 2 | 2 | no | — |
| 685 | C2×C4 | — | 2 | 2 | no | — |
| 686 | C2×C4 | — | 4 | 1 | no | — |
| 687 | C2×C4 | — | 14 | 2 | no | — |
| 688 | C2×C4 | — | 14 | 2 | no | — |
| 689 | C2×C4 | — | 14 | 2 | no | — |
| 690 | C2×C4 | — | 14 | 2 | no | — |
| 691 | C2×C4 | — | 14 | 2 | no | — |
| 692 | C2×C4 | — | 28 | 4 | no | — |
| 693 | C2×C4 | — | 28 | 4 | no | — |
| 694 | C2×C4 | — | 28 | 4 | no | — |
| 695 | C2×C4 | — | 56 | 4 | no | — |
| 696 | C2×C4 | — | 56 | 2 | no | — |
| 697 | C2×C4 | — | 56 | 4 | no | — |
| 698 | C2×C4 | — | 56 | 4 | no | — |
| 699 | C2×C4 | — | 56 | 4 | no | — |
| 700 | C2×C4 | — | 56 | 1 | no | — |
| 701 | C2×C4 | C22×D28 | 1 | 1 | yes | characteristic |
| 702 | C2×C4 | C22×D28 | 1 | 1 | yes | characteristic |
| 703 | C2×C4 | C22×D28 | 1 | 1 | yes | characteristic |
| 704 | C2×C4 | C22×D28 | 1 | 1 | yes | characteristic |
| 705 | C2×C4 | C22×D28 | 1 | 4 | yes | — |
| 706 | C2×C4 | C22×D28 | 1 | 4 | yes | — |
| 707 | C2×C4 | C22×D28 | 1 | 1 | yes | characteristic |
| 708 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 709 | C8 | — | 2 | 2 | no | — |
| 710 | C8 | — | 2 | 2 | no | — |
| 711 | C8 | — | 2 | 4 | no | — |
| 712 | C7 | #61847 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 713 | C22 | — | 2 | 1 | no | — |
| 714 | C22 | — | 2 | 1 | no | — |
| 715 | C22 | — | 2 | 1 | no | — |
| 716 | C22 | — | 14 | 4 | no | — |
| 717 | C22 | — | 28 | 2 | no | — |
| 718 | C22 | — | 28 | 2 | no | — |
| 719 | C22 | — | 28 | 2 | no | — |
| 720 | C22 | — | 28 | 2 | no | — |
| 721 | C22 | — | 28 | 2 | no | — |
| 722 | C22 | — | 28 | 2 | no | — |
| 723 | C22 | — | 28 | 2 | no | — |
| 724 | C22 | — | 28 | 2 | no | — |
| 725 | C22 | — | 56 | 4 | no | — |
| 726 | C22 | C23×D28 | 1 | 1 | yes | characteristic |
| 727 | C4 | — | 2 | 1 | no | — |
| 728 | C4 | — | 2 | 1 | no | — |
| 729 | C4 | — | 2 | 4 | no | — |
| 730 | C4 | — | 2 | 1 | no | — |
| 731 | C4 | — | 2 | 1 | no | — |
| 732 | C4 | — | 2 | 4 | no | — |
| 733 | C4 | — | 28 | 2 | no | — |
| 734 | C4 | — | 28 | 2 | no | — |
| 735 | C4 | — | 28 | 2 | no | — |
| 736 | C4 | — | 28 | 2 | no | — |
| 737 | C4 | — | 28 | 2 | no | — |
| 738 | C4 | #90443 | 1 | 2 | yes | — |
| 739 | C4 | D7×2−1+4 | 1 | 2 | yes | — |
| 740 | C2 | — | 4 | 1 | no | — |
| 741 | C2 | — | 28 | 4 | no | — |
| 742 | C2 | — | 56 | 2 | no | — |
| 743 | C2 | — | 56 | 2 | no | — |
| 744 | C2 | #11742949 | 1 | 1 | yes | characteristic |
| 745 | C2 | C2×#90443 | 1 | 1 | yes | characteristic |
| 746 | C2 | #11744235 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743356 | C2 | semidirect |
| 2. #11743348 | C2 | semidirect |
| 3. C7×#2985 | C2 | semidirect |
| 4. #11737424 | C2 | semidirect |
| 5. #11737420 | C2 | semidirect |
| 6. #11737414 | C2 | semidirect |
| 7. #11737414 | C2 | semidirect |
| 8. #11737375 | C2 | semidirect |
| 9. #11737369 | C2 | semidirect |
| 10. #11736831 | C2 | semidirect |
| 11. #11736807 | C2 | semidirect |
| 12. #11736788 | C2 | semidirect |
| 13. #11736764 | C2 | semidirect |
| 14. #11736742 | C2 | semidirect |
| 15. #11736715 | C2 | semidirect |
| 29. #90270 | C22 | semidirect |
| 30. #90270 | C22 | semidirect |
| 31. #90268 | C22 | semidirect |
| 32. #90268 | C22 | semidirect |
| 41. C7×#446 | C22 | semidirect |
| 42. C7×#446 | C22 | semidirect |
| 43. C7×C8×Q8 | C22 | semidirect |
| 49. #89619 | C22 | semidirect |
| 50. #89619 | C22 | semidirect |
| 51. #89619 | C22 | semidirect |
| 53. #89618 | C22 | semidirect |
| 54. #89618 | C22 | semidirect |
| 60. #89614 | C22 | semidirect |
| 61. #89614 | C22 | semidirect |
| 68. #89485 | C22 | semidirect |
| 69. #89485 | C22 | semidirect |
| 73. #89474 | C22 | semidirect |
| 74. #89474 | C22 | semidirect |
| 75. #89466 | C22 | semidirect |
| 76. #89466 | C22 | semidirect |
| 77. #89466 | C22 | semidirect |
| 82. #89455 | C22 | semidirect |
| 83. #89454 | C22 | semidirect |
| 84. #89452 | C22 | semidirect |
| 212. #2985 | D7 | semidirect |
| 355. #446 | C2×D7 | semidirect |
| 356. #446 | C2×D7 | semidirect |
| 357. C8×Q8 | C2×D7 | semidirect |
| 712. C7 | #61847 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11743356 | 2 |
| #11743348 | 2 |
| C7×#2985 | 2 |
| #11737424 | 2 |
| #11737420 | 2 |
| #11737414 | 2 |
| #11737375 | 2 |
| #11737369 | 2 |
| #11736831 | 2 |
| #11736807 | 2 |
| #11736788 | 2 |
| #11736764 | 2 |
| #11736742 | 2 |
| #11736715 | 2 |
| #61847 | 7 |