Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1898 conjugacy classes of subgroups.
The subgroup lattice has 888 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743295 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11743273 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C7×#3141 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11740731 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#89852 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11739114 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11739113 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11739110 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11739109 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11739039 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #11739003 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #11736336 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #11736335 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #11736314 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #11736313 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #11735974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #11735961 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | C7×#532 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C7×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 20 | #90524 | C22 | 1 | 1 | yes | characteristic |
| 21 | #90524 | C22 | 1 | 1 | yes | characteristic |
| 22 | #90518 | C22 | 1 | 1 | yes | characteristic |
| 23 | #90518 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#6513 | C22 | 1 | 2 | yes | — |
| 25 | C2×#6513 | C22 | 1 | 2 | yes | — |
| 26 | #90508 | — | 2 | 2 | no | — |
| 27 | C2×#6470 | C22 | 1 | 2 | yes | — |
| 28 | #90425 | — | 2 | 1 | no | — |
| 29 | #90424 | C22 | 1 | 4 | yes | — |
| 30 | #90423 | — | 2 | 1 | no | — |
| 31 | #90422 | C22 | 1 | 2 | yes | — |
| 32 | #90421 | — | 2 | 1 | no | — |
| 33 | #90419 | C22 | 1 | 2 | yes | — |
| 34 | #90417 | — | 2 | 1 | no | — |
| 35 | #90416 | C22 | 1 | 2 | yes | — |
| 36 | #90410 | C22 | 1 | 2 | yes | — |
| 37 | #90371 | C22 | 1 | 2 | yes | — |
| 38 | #90371 | C22 | 1 | 2 | yes | — |
| 39 | #90292 | — | 2 | 2 | no | — |
| 40 | #90292 | — | 2 | 2 | no | — |
| 41 | #90256 | — | 2 | 1 | no | — |
| 42 | #90256 | — | 2 | 1 | no | — |
| 43 | #90232 | — | 2 | 1 | no | — |
| 44 | #90232 | — | 2 | 1 | no | — |
| 45 | #90205 | — | 2 | 2 | no | — |
| 46 | #90201 | C22 | 1 | 2 | yes | — |
| 47 | #90195 | C22 | 1 | 2 | yes | — |
| 48 | #90168 | C22 | 1 | 1 | yes | characteristic |
| 49 | C4×#1157 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#6433 | C22 | 1 | 1 | yes | characteristic |
| 51 | C7×#489 | C22 | 1 | 2 | yes | — |
| 52 | C7×#489 | C22 | 1 | 2 | yes | — |
| 53 | C7×#487 | C22 | 1 | 2 | yes | — |
| 54 | C7×#486 | C22 | 1 | 2 | yes | — |
| 55 | C7×#417 | C22 | 1 | 2 | yes | — |
| 56 | C7×#417 | C22 | 1 | 2 | yes | — |
| 57 | C4×C7×M16 | C22 | 1 | 1 | yes | characteristic |
| 58 | #89905 | C22 | 1 | 2 | yes | — |
| 59 | #89905 | C22 | 1 | 2 | yes | — |
| 60 | #89894 | C22 | 1 | 2 | yes | — |
| 61 | #89858 | C22 | 1 | 2 | yes | — |
| 62 | #89852 | C22 | 1 | 4 | yes | — |
| 63 | #89852 | C22 | 1 | 2 | yes | — |
| 64 | #89852 | C22 | 1 | 2 | yes | — |
| 65 | #89846 | C22 | 1 | 2 | yes | — |
| 66 | #89832 | C22 | 1 | 1 | yes | characteristic |
| 67 | #89832 | C22 | 1 | 1 | yes | characteristic |
| 68 | #89830 | C22 | 1 | 1 | yes | characteristic |
| 69 | #89830 | C22 | 1 | 1 | yes | characteristic |
| 70 | C2×#6382 | C22 | 1 | 2 | yes | — |
| 71 | C2×#6381 | C22 | 1 | 2 | yes | — |
| 72 | C2×#6377 | C22 | 1 | 1 | yes | characteristic |
| 73 | #89589 | C22 | 1 | 4 | yes | — |
| 74 | #89588 | C22 | 1 | 4 | yes | — |
| 75 | #89585 | C22 | 1 | 4 | yes | — |
| 76 | #89584 | C22 | 1 | 4 | yes | — |
| 77 | #89579 | C22 | 1 | 4 | yes | — |
| 78 | #89562 | C22 | 1 | 4 | yes | — |
| 79 | #89561 | C22 | 1 | 4 | yes | — |
| 80 | #89560 | C22 | 1 | 4 | yes | — |
| 81 | #89557 | C22 | 1 | 4 | yes | — |
| 82 | #89554 | C22 | 1 | 4 | yes | — |
| 83 | #89552 | C22 | 1 | 4 | yes | — |
| 84 | #89550 | C22 | 1 | 4 | yes | — |
| 85 | #89547 | C22 | 1 | 4 | yes | — |
| 86 | #89530 | C22 | 1 | 4 | yes | — |
| 87 | #89529 | C22 | 1 | 4 | yes | — |
| 88 | #89528 | C22 | 1 | 4 | yes | — |
| 89 | #89485 | C22 | 1 | 2 | yes | — |
| 90 | #89479 | C22 | 1 | 2 | yes | — |
| 91 | D7×#97 | C22 | 1 | 2 | yes | — |
| 92 | #89475 | C22 | 1 | 2 | yes | — |
| 93 | #89469 | C22 | 1 | 4 | yes | — |
| 94 | #89461 | C22 | 1 | 4 | yes | — |
| 95 | #60721 | — | 7 | 1 | no | maximal, Sylow |
| 96 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 98 | C22×C7×Q8 | — | 2 | 1 | no | — |
| 99 | C2×#1161 | — | 2 | 2 | no | — |
| 100 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 101 | C2×#1157 | C23 | 1 | 2 | yes | — |
| 102 | C2×C7×M16 | C23 | 1 | 2 | yes | — |
| 103 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 104 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 105 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 106 | C7×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 107 | C7×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 108 | C7×#127 | C23 | 1 | 1 | yes | characteristic |
| 109 | C7×#124 | C23 | 1 | 1 | yes | characteristic |
| 110 | C7×#124 | C23 | 1 | 1 | yes | characteristic |
| 111 | C7×#121 | — | 2 | 1 | no | — |
| 112 | C7×#121 | — | 2 | 1 | no | — |
| 113 | C4×C7×D4 | — | 2 | 1 | no | — |
| 114 | C4×C7×D4 | — | 2 | 1 | no | — |
| 115 | C2×C7×C4⋊C4 | — | 2 | 1 | no | — |
| 116 | C2×C7×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 117 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 118 | #6513 | — | 2 | 8 | no | — |
| 119 | #6513 | — | 2 | 8 | no | — |
| 120 | #6510 | — | 2 | 4 | no | — |
| 121 | #6510 | — | 2 | 2 | no | — |
| 122 | #6509 | — | 2 | 2 | no | — |
| 123 | #6509 | — | 2 | 4 | no | — |
| 124 | #6509 | C23 | 1 | 2 | yes | — |
| 125 | #6509 | C23 | 1 | 2 | yes | — |
| 126 | Q8×Dic7 | — | 2 | 2 | no | — |
| 127 | Q8×Dic7 | C23 | 1 | 2 | yes | — |
| 128 | Q8×Dic7 | C23 | 1 | 2 | yes | — |
| 129 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 130 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 131 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 132 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 133 | #6502 | — | 2 | 2 | no | — |
| 134 | #6502 | — | 2 | 2 | no | — |
| 135 | #6502 | — | 2 | 2 | no | — |
| 136 | #6502 | — | 2 | 2 | no | — |
| 137 | #6501 | C23 | 1 | 2 | yes | — |
| 138 | #6501 | C23 | 1 | 2 | yes | — |
| 139 | #6498 | — | 2 | 2 | no | — |
| 140 | #6498 | — | 2 | 2 | no | — |
| 141 | D4×Dic7 | — | 2 | 2 | no | — |
| 142 | D4×Dic7 | — | 2 | 2 | no | — |
| 143 | D4×Dic7 | C23 | 1 | 2 | yes | — |
| 144 | D4×Dic7 | C23 | 1 | 2 | yes | — |
| 145 | C2×#1142 | C23 | 1 | 2 | yes | — |
| 146 | C2×#1142 | C23 | 1 | 2 | yes | — |
| 147 | C2×#1141 | C23 | 1 | 2 | yes | — |
| 148 | C2×#1141 | C23 | 1 | 2 | yes | — |
| 149 | #6493 | — | 2 | 1 | no | — |
| 150 | #6493 | — | 2 | 1 | no | — |
| 151 | #6493 | — | 2 | 4 | no | — |
| 152 | #6493 | — | 2 | 1 | no | — |
| 153 | #6493 | — | 2 | 1 | no | — |
| 154 | C4×C22⋊D7 | — | 2 | 4 | no | — |
| 155 | C4×C22⋊D7 | D4 | 1 | 2 | yes | — |
| 156 | C4×C22⋊D7 | D4 | 1 | 2 | yes | — |
| 157 | #6489 | — | 2 | 1 | no | — |
| 158 | #6489 | — | 2 | 1 | no | — |
| 159 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 160 | C2×C4⋊Dic7 | — | 2 | 1 | no | — |
| 161 | C2×C4⋊Dic7 | — | 2 | 1 | no | — |
| 162 | C2×C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 163 | C2×C4⋊Dic7 | C23 | 1 | 1 | yes | characteristic |
| 164 | #6487 | — | 2 | 1 | no | — |
| 165 | #6487 | — | 2 | 1 | no | — |
| 166 | C2×Dic7⋊C4 | — | 2 | 1 | no | — |
| 167 | C2×Dic7⋊C4 | — | 2 | 1 | no | — |
| 168 | C22×C7⋊C8 | C23 | 1 | 2 | yes | — |
| 169 | #6470 | — | 2 | 8 | no | — |
| 170 | C2×#1131 | C23 | 1 | 4 | yes | — |
| 171 | C2×C8×D7 | C23 | 1 | 4 | yes | — |
| 172 | #6461 | — | 2 | 2 | no | — |
| 173 | #6461 | — | 2 | 2 | no | — |
| 174 | #6461 | — | 2 | 4 | no | — |
| 175 | #6460 | — | 2 | 2 | no | — |
| 176 | #6460 | C23 | 1 | 4 | yes | — |
| 177 | #6458 | — | 2 | 2 | no | — |
| 178 | #6458 | — | 2 | 2 | no | — |
| 179 | #6458 | C23 | 1 | 4 | yes | — |
| 180 | #6457 | — | 2 | 4 | no | — |
| 181 | #6456 | — | 2 | 2 | no | — |
| 182 | #6456 | C23 | 1 | 4 | yes | — |
| 183 | #6455 | — | 2 | 2 | no | — |
| 184 | #6455 | — | 2 | 2 | no | — |
| 185 | D7×C4⋊C4 | — | 2 | 2 | no | — |
| 186 | #6453 | — | 2 | 2 | no | — |
| 187 | #6452 | — | 2 | 2 | no | — |
| 188 | #6452 | — | 2 | 2 | no | — |
| 189 | #6450 | C23 | 1 | 4 | yes | — |
| 190 | #6446 | — | 2 | 2 | no | — |
| 191 | #6446 | — | 2 | 2 | no | — |
| 192 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 193 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 194 | #6442 | — | 2 | 2 | no | — |
| 195 | #6442 | — | 2 | 2 | no | — |
| 196 | #6440 | — | 2 | 2 | no | — |
| 197 | #6440 | — | 2 | 2 | no | — |
| 198 | #6438 | C23 | 1 | 2 | yes | — |
| 199 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 200 | C4×D28 | — | 2 | 1 | no | — |
| 201 | C4×D28 | — | 2 | 1 | no | — |
| 202 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 203 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 204 | #6435 | C23 | 1 | 2 | yes | — |
| 205 | C42×D7 | C23 | 1 | 2 | yes | — |
| 206 | #6433 | — | 2 | 1 | no | — |
| 207 | #6433 | — | 2 | 1 | no | — |
| 208 | #6433 | C23 | 1 | 2 | yes | — |
| 209 | #6433 | C23 | 1 | 2 | yes | — |
| 210 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 211 | C4×Dic14 | D4 | 1 | 1 | yes | characteristic |
| 212 | C4×Dic14 | D4 | 1 | 1 | yes | characteristic |
| 213 | C7×#103 | C23 | 1 | 4 | yes | — |
| 214 | C7×#103 | C23 | 1 | 4 | yes | — |
| 215 | C7×#102 | C23 | 1 | 4 | yes | — |
| 216 | C7×#102 | C23 | 1 | 4 | yes | — |
| 217 | C7×#97 | C23 | 1 | 2 | yes | — |
| 218 | C4×C7×C8 | C23 | 1 | 2 | yes | — |
| 219 | #6395 | C23 | 1 | 4 | yes | — |
| 220 | #6395 | C23 | 1 | 4 | yes | — |
| 221 | #6390 | C23 | 1 | 4 | yes | — |
| 222 | #6390 | C23 | 1 | 4 | yes | — |
| 223 | #6389 | C23 | 1 | 4 | yes | — |
| 224 | C8×Dic7 | C23 | 1 | 4 | yes | — |
| 225 | #6382 | C23 | 1 | 4 | yes | — |
| 226 | #6382 | C23 | 1 | 4 | yes | — |
| 227 | #6381 | C23 | 1 | 4 | yes | — |
| 228 | #6381 | C23 | 1 | 4 | yes | — |
| 229 | #6377 | C23 | 1 | 2 | yes | — |
| 230 | #6377 | C23 | 1 | 1 | yes | characteristic |
| 231 | #6377 | C23 | 1 | 1 | yes | characteristic |
| 232 | #3512 | — | 7 | 1 | no | — |
| 233 | #3511 | — | 7 | 1 | no | — |
| 234 | #3181 | — | 7 | 2 | no | — |
| 235 | #3180 | — | 7 | 2 | no | — |
| 236 | #3179 | — | 7 | 4 | no | — |
| 237 | #3178 | — | 7 | 4 | no | — |
| 238 | #3172 | — | 7 | 2 | no | — |
| 239 | #3171 | — | 7 | 2 | no | — |
| 240 | C2×#501 | — | 7 | 1 | no | — |
| 241 | #3150 | — | 7 | 1 | no | — |
| 242 | #3142 | — | 7 | 1 | no | — |
| 243 | #3141 | D7 | 1 | 1 | yes | characteristic, complemented |
| 244 | #3061 | — | 7 | 2 | no | — |
| 245 | #3060 | — | 7 | 2 | no | — |
| 246 | #2952 | — | 7 | 2 | no | — |
| 247 | #2951 | — | 7 | 2 | no | — |
| 248 | #2875 | — | 7 | 1 | no | — |
| 249 | C7×#41 | — | 2 | 4 | no | — |
| 250 | C7×#41 | — | 2 | 4 | no | — |
| 251 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 252 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 253 | C2×C7×Q8 | — | 8 | 2 | no | — |
| 254 | C2×C7×Q8 | C24 | 1 | 1 | yes | characteristic |
| 255 | C2×C7×Q8 | C24 | 1 | 1 | yes | characteristic |
| 256 | C2×C7×D4 | — | 2 | 1 | no | — |
| 257 | C2×C7×D4 | — | 2 | 1 | no | — |
| 258 | C2×C7×D4 | — | 2 | 1 | no | — |
| 259 | C2×C7×D4 | — | 2 | 1 | no | — |
| 260 | C2×C7×D4 | C24 | 1 | 1 | yes | characteristic |
| 261 | C2×C7×D4 | C24 | 1 | 1 | yes | characteristic |
| 262 | C22×C4×C7 | — | 2 | 2 | no | — |
| 263 | C22×C4×C7 | — | 2 | 1 | no | — |
| 264 | C22×C4×C7 | — | 2 | 1 | no | — |
| 265 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 266 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 268 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 269 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 270 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 271 | C2×C22⋊D7 | C2×D4 | 1 | 2 | yes | — |
| 272 | C22×Dic7 | — | 2 | 1 | no | — |
| 273 | C22×Dic7 | — | 2 | 1 | no | — |
| 274 | C22×Dic7 | — | 2 | 2 | no | — |
| 275 | C22×Dic7 | — | 2 | 2 | no | — |
| 276 | #1161 | — | 8 | 4 | no | — |
| 277 | #1157 | — | 2 | 4 | no | — |
| 278 | #1157 | — | 2 | 4 | no | — |
| 279 | #1157 | — | 2 | 4 | no | — |
| 280 | C2×D28 | — | 2 | 1 | no | — |
| 281 | C2×D28 | — | 2 | 1 | no | — |
| 282 | C2×D28 | — | 2 | 4 | no | — |
| 283 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 284 | C2×D28 | C24 | 1 | 2 | yes | — |
| 285 | C2×C4×D7 | — | 2 | 2 | no | — |
| 286 | C2×C4×D7 | — | 2 | 4 | no | — |
| 287 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 288 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 289 | C2×C4×D7 | C24 | 1 | 2 | yes | — |
| 290 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 291 | C2×Dic14 | C24 | 1 | 2 | yes | — |
| 292 | C7×M16 | — | 2 | 4 | no | — |
| 293 | C2×C7×C8 | C24 | 1 | 4 | yes | — |
| 294 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 295 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 296 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 297 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 298 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 299 | C7×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 300 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 301 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 302 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 303 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 304 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 305 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 306 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 307 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 308 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 309 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 310 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 311 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 312 | C22⋊Dic7 | C2×D4 | 1 | 2 | yes | — |
| 313 | #1144 | — | 2 | 4 | no | — |
| 314 | #1144 | — | 2 | 4 | no | — |
| 315 | #1143 | — | 2 | 4 | no | — |
| 316 | #1143 | — | 2 | 4 | no | — |
| 317 | #1142 | — | 2 | 4 | no | — |
| 318 | #1142 | — | 2 | 4 | no | — |
| 319 | #1141 | — | 2 | 4 | no | — |
| 320 | #1141 | — | 2 | 4 | no | — |
| 321 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 322 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 323 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 324 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 325 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 326 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 327 | (C2×D7)⋊C4 | — | 2 | 4 | no | — |
| 328 | (C2×D7)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 329 | (C2×D7)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 330 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 331 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 332 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 333 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 334 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 335 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 336 | C4⋊Dic7 | — | 2 | 4 | no | — |
| 337 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 338 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 340 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 341 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 342 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 343 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 344 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 345 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 346 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 347 | Dic7⋊C4 | — | 2 | 4 | no | — |
| 348 | Dic7⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 349 | Dic7⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 350 | C4×Dic7 | — | 2 | 2 | no | — |
| 351 | C4×Dic7 | — | 2 | 2 | no | — |
| 352 | C4×Dic7 | — | 2 | 4 | no | — |
| 353 | C4×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 354 | C4×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 355 | C4×Dic7 | C24 | 1 | 2 | yes | — |
| 356 | C2×C7⋊C8 | #41 | 1 | 8 | yes | complemented |
| 357 | C2×C7⋊C8 | C24 | 1 | 2 | yes | — |
| 358 | C2×C7⋊C8 | C24 | 1 | 2 | yes | — |
| 359 | #1131 | — | 2 | 8 | no | — |
| 360 | C8×D7 | — | 2 | 8 | no | — |
| 361 | C2×#135 | — | 7 | 2 | no | — |
| 362 | C2×#135 | — | 7 | 2 | no | — |
| 363 | C2×#131 | — | 7 | 2 | no | — |
| 364 | #556 | — | 14 | 1 | no | — |
| 365 | #555 | — | 14 | 1 | no | — |
| 366 | #554 | — | 14 | 1 | no | — |
| 367 | #553 | — | 14 | 2 | no | — |
| 368 | #553 | — | 14 | 1 | no | — |
| 369 | #553 | — | 14 | 1 | no | — |
| 370 | #553 | — | 14 | 2 | no | — |
| 371 | #553 | — | 14 | 2 | no | — |
| 372 | #552 | — | 14 | 1 | no | — |
| 373 | #552 | — | 14 | 1 | no | — |
| 374 | #548 | — | 14 | 2 | no | — |
| 375 | #547 | — | 14 | 1 | no | — |
| 376 | #542 | — | 7 | 4 | no | — |
| 377 | #541 | — | 7 | 2 | no | — |
| 378 | #540 | — | 7 | 2 | no | — |
| 379 | #537 | — | 7 | 1 | no | — |
| 380 | #537 | — | 7 | 1 | no | — |
| 381 | #537 | — | 7 | 2 | no | — |
| 382 | #533 | — | 7 | 2 | no | — |
| 383 | #532 | — | 7 | 2 | no | — |
| 384 | #532 | — | 7 | 1 | no | — |
| 385 | #532 | C2×D7 | 1 | 1 | yes | characteristic |
| 386 | C2×C4⋊Q8 | C2×D7 | 1 | 1 | yes | characteristic |
| 387 | #529 | — | 7 | 2 | no | — |
| 388 | #529 | — | 7 | 2 | no | — |
| 389 | C2×#125 | — | 7 | 1 | no | — |
| 390 | #520 | — | 7 | 1 | no | — |
| 391 | #520 | — | 7 | 1 | no | — |
| 392 | #520 | — | 7 | 2 | no | — |
| 393 | C4×#41 | — | 7 | 1 | no | — |
| 394 | #501 | — | 7 | 2 | no | — |
| 395 | #501 | — | 7 | 4 | no | — |
| 396 | #501 | — | 7 | 2 | no | — |
| 397 | #497 | — | 7 | 2 | no | — |
| 398 | #497 | — | 7 | 1 | no | — |
| 399 | #497 | — | 7 | 1 | no | — |
| 400 | #496 | — | 7 | 2 | no | — |
| 401 | #496 | — | 7 | 1 | no | — |
| 402 | #496 | — | 7 | 1 | no | — |
| 403 | #491 | — | 7 | 2 | no | — |
| 404 | #490 | — | 7 | 2 | no | — |
| 405 | #489 | C2×D7 | 1 | 2 | yes | — |
| 406 | #489 | C2×D7 | 1 | 2 | yes | — |
| 407 | #488 | — | 7 | 4 | no | — |
| 408 | #487 | C2×D7 | 1 | 2 | yes | — |
| 409 | #486 | C2×D7 | 1 | 2 | yes | — |
| 410 | #470 | — | 7 | 4 | no | — |
| 411 | #469 | — | 7 | 4 | no | — |
| 412 | #468 | — | 7 | 4 | no | — |
| 413 | #468 | — | 7 | 4 | no | — |
| 414 | #467 | — | 7 | 4 | no | — |
| 415 | #466 | — | 7 | 4 | no | — |
| 416 | #465 | — | 7 | 4 | no | — |
| 417 | #465 | — | 7 | 4 | no | — |
| 418 | #442 | — | 7 | 4 | no | — |
| 419 | #441 | — | 7 | 4 | no | — |
| 420 | #440 | — | 7 | 4 | no | — |
| 421 | #440 | — | 7 | 4 | no | — |
| 422 | C4×Q16 | — | 7 | 4 | no | — |
| 423 | C4×SD16 | — | 7 | 4 | no | — |
| 424 | C4×SD16 | — | 7 | 4 | no | — |
| 425 | C4×D8 | — | 7 | 4 | no | — |
| 426 | C2×#107 | — | 7 | 2 | no | — |
| 427 | C2×#106 | — | 7 | 2 | no | — |
| 428 | #417 | — | 7 | 2 | no | — |
| 429 | #417 | — | 7 | 2 | no | — |
| 430 | #417 | C2×D7 | 1 | 2 | yes | — |
| 431 | #417 | C2×D7 | 1 | 2 | yes | — |
| 432 | #405 | — | 7 | 2 | no | — |
| 433 | #405 | — | 7 | 4 | no | — |
| 434 | C4×M16 | — | 7 | 2 | no | — |
| 435 | C4×M16 | C2×D7 | 1 | 1 | yes | characteristic |
| 436 | C2×#97 | — | 7 | 1 | no | — |
| 437 | C2×#97 | — | 7 | 2 | no | — |
| 438 | C23×C7 | — | 2 | 1 | no | — |
| 439 | C23×C7 | — | 2 | 1 | no | — |
| 440 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 441 | C22×D7 | — | 2 | 2 | no | — |
| 442 | C22×D7 | C22×D4 | 1 | 2 | yes | — |
| 443 | C7×Q8 | — | 2 | 2 | no | — |
| 444 | C7×Q8 | — | 2 | 2 | no | — |
| 445 | C7×Q8 | — | 4 | 4 | no | — |
| 446 | C7×Q8 | — | 8 | 2 | no | — |
| 447 | C7×D4 | — | 2 | 2 | no | — |
| 448 | C7×D4 | — | 2 | 2 | no | — |
| 449 | C7×D4 | — | 4 | 2 | no | — |
| 450 | C7×D4 | — | 4 | 2 | no | — |
| 451 | C7×D4 | — | 8 | 1 | no | — |
| 452 | C7×D4 | — | 8 | 1 | no | — |
| 453 | C2×C4×C7 | — | 2 | 1 | no | — |
| 454 | C2×C4×C7 | — | 2 | 1 | no | — |
| 455 | C2×C4×C7 | — | 2 | 4 | no | — |
| 456 | C2×C4×C7 | — | 4 | 1 | no | — |
| 457 | C2×C4×C7 | — | 4 | 1 | no | — |
| 458 | C2×C4×C7 | — | 4 | 2 | no | — |
| 459 | C2×C4×C7 | — | 4 | 2 | no | — |
| 460 | C2×C4×C7 | — | 8 | 2 | no | — |
| 461 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 462 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 463 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 464 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 465 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 466 | C2×C4×C7 | C2×#41 | 1 | 4 | yes | — |
| 467 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 468 | C22⋊D7 | — | 2 | 4 | no | — |
| 469 | C22⋊D7 | — | 4 | 4 | no | — |
| 470 | C22⋊D7 | — | 8 | 2 | no | — |
| 471 | C22⋊D7 | — | 8 | 2 | no | — |
| 472 | C2×Dic7 | — | 2 | 2 | no | — |
| 473 | C2×Dic7 | — | 2 | 2 | no | — |
| 474 | C2×Dic7 | — | 2 | 2 | no | — |
| 475 | C2×Dic7 | — | 8 | 2 | no | — |
| 476 | C2×Dic7 | — | 8 | 2 | no | — |
| 477 | C2×Dic7 | — | 8 | 1 | no | — |
| 478 | C2×Dic7 | — | 8 | 1 | no | — |
| 479 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 480 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 481 | C2×Dic7 | C22×D4 | 1 | 2 | yes | — |
| 482 | D28 | — | 2 | 2 | no | — |
| 483 | D28 | — | 2 | 2 | no | — |
| 484 | D28 | — | 2 | 2 | no | — |
| 485 | D28 | — | 4 | 2 | no | — |
| 486 | D28 | — | 4 | 2 | no | — |
| 487 | D28 | — | 8 | 4 | no | — |
| 488 | C4×D7 | — | 2 | 4 | no | — |
| 489 | C4×D7 | — | 4 | 2 | no | — |
| 490 | C4×D7 | — | 4 | 2 | no | — |
| 491 | C4×D7 | — | 4 | 4 | no | — |
| 492 | C4×D7 | — | 8 | 4 | no | — |
| 493 | Dic14 | — | 2 | 2 | no | — |
| 494 | Dic14 | — | 2 | 2 | no | — |
| 495 | Dic14 | — | 2 | 2 | no | — |
| 496 | C7×C8 | — | 2 | 4 | no | — |
| 497 | C7⋊C8 | C2×#41 | 1 | 4 | yes | — |
| 498 | C7⋊C8 | C2×#41 | 1 | 4 | yes | — |
| 499 | C2×#41 | — | 7 | 1 | no | — |
| 500 | C2×#41 | — | 7 | 2 | no | — |
| 501 | C2×#41 | — | 14 | 2 | no | — |
| 502 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 503 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 504 | C22×Q8 | — | 2 | 1 | no | — |
| 505 | #135 | — | 14 | 8 | no | — |
| 506 | #135 | — | 14 | 8 | no | — |
| 507 | C2×Q16 | — | 7 | 2 | no | — |
| 508 | C2×Q16 | — | 7 | 2 | no | — |
| 509 | C2×SD16 | — | 7 | 2 | no | — |
| 510 | C2×SD16 | — | 7 | 2 | no | — |
| 511 | C2×SD16 | — | 7 | 2 | no | — |
| 512 | C2×SD16 | — | 7 | 2 | no | — |
| 513 | C2×D8 | — | 7 | 2 | no | — |
| 514 | C2×D8 | — | 7 | 2 | no | — |
| 515 | #131 | — | 14 | 8 | no | — |
| 516 | C2×M16 | — | 7 | 4 | no | — |
| 517 | C2×M16 | C22×D7 | 1 | 2 | yes | — |
| 518 | C22×C8 | — | 7 | 2 | no | — |
| 519 | C22×C8 | — | 7 | 4 | no | — |
| 520 | C4⋊Q8 | — | 2 | 1 | no | — |
| 521 | C4⋊Q8 | — | 2 | 1 | no | — |
| 522 | C4⋊Q8 | — | 7 | 1 | no | — |
| 523 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 524 | C4⋊Q8 | C22×D7 | 1 | 2 | yes | — |
| 525 | C4⋊Q8 | C22×D7 | 1 | 2 | yes | — |
| 526 | #127 | — | 7 | 1 | no | — |
| 527 | #127 | C22×D7 | 1 | 1 | yes | characteristic |
| 528 | #126 | — | 14 | 2 | no | — |
| 529 | #126 | — | 14 | 2 | no | — |
| 530 | #126 | — | 14 | 2 | no | — |
| 531 | #126 | — | 14 | 2 | no | — |
| 532 | #126 | — | 14 | 4 | no | — |
| 533 | #125 | — | 7 | 2 | no | — |
| 534 | #125 | — | 7 | 2 | no | — |
| 535 | #125 | — | 14 | 2 | no | — |
| 536 | #125 | — | 14 | 2 | no | — |
| 537 | #125 | — | 14 | 2 | no | — |
| 538 | #125 | — | 14 | 1 | no | — |
| 539 | #125 | — | 14 | 1 | no | — |
| 540 | #124 | — | 7 | 2 | no | — |
| 541 | #124 | — | 14 | 2 | no | — |
| 542 | #124 | — | 14 | 4 | no | — |
| 543 | #124 | C22×D7 | 1 | 1 | yes | characteristic |
| 544 | #124 | C22×D7 | 1 | 1 | yes | characteristic |
| 545 | #123 | — | 14 | 2 | no | — |
| 546 | #123 | — | 14 | 2 | no | — |
| 547 | #123 | — | 14 | 4 | no | — |
| 548 | #123 | — | 14 | 2 | no | — |
| 549 | #123 | — | 14 | 2 | no | — |
| 550 | C22⋊Q8 | — | 7 | 2 | no | — |
| 551 | C22⋊Q8 | — | 7 | 2 | no | — |
| 552 | C22⋊Q8 | — | 7 | 4 | no | — |
| 553 | C22⋊Q8 | — | 14 | 2 | no | — |
| 554 | C22⋊Q8 | — | 14 | 4 | no | — |
| 555 | C22⋊Q8 | — | 14 | 1 | no | — |
| 556 | C22⋊Q8 | — | 14 | 1 | no | — |
| 557 | C22⋊Q8 | — | 14 | 2 | no | — |
| 558 | #121 | — | 2 | 1 | no | — |
| 559 | #121 | — | 2 | 1 | no | — |
| 560 | #121 | — | 7 | 2 | no | — |
| 561 | #121 | — | 7 | 2 | no | — |
| 562 | #121 | — | 7 | 4 | no | — |
| 563 | #121 | — | 14 | 2 | no | — |
| 564 | #121 | — | 14 | 2 | no | — |
| 565 | #121 | — | 14 | 2 | no | — |
| 566 | #121 | — | 14 | 2 | no | — |
| 567 | #121 | — | 14 | 4 | no | — |
| 568 | #121 | — | 14 | 1 | no | — |
| 569 | #121 | — | 14 | 1 | no | — |
| 570 | #121 | — | 14 | 2 | no | — |
| 571 | #121 | — | 14 | 2 | no | — |
| 572 | #121 | — | 14 | 1 | no | — |
| 573 | #121 | — | 14 | 1 | no | — |
| 574 | C4×Q8 | — | 7 | 1 | no | — |
| 575 | C4×Q8 | — | 7 | 1 | no | — |
| 576 | C4×Q8 | — | 7 | 2 | no | — |
| 577 | C4×Q8 | — | 7 | 2 | no | — |
| 578 | C4×Q8 | — | 7 | 4 | no | — |
| 579 | C4×Q8 | — | 14 | 2 | no | — |
| 580 | C4×D4 | — | 2 | 1 | no | — |
| 581 | C4×D4 | — | 2 | 1 | no | — |
| 582 | C4×D4 | — | 7 | 2 | no | — |
| 583 | C4×D4 | — | 7 | 2 | no | — |
| 584 | C4×D4 | — | 7 | 2 | no | — |
| 585 | C4×D4 | — | 7 | 2 | no | — |
| 586 | C4×D4 | — | 7 | 4 | no | — |
| 587 | C4×D4 | — | 7 | 1 | no | — |
| 588 | C4×D4 | — | 7 | 1 | no | — |
| 589 | C4×D4 | — | 14 | 2 | no | — |
| 590 | C4×D4 | — | 14 | 2 | no | — |
| 591 | C4×D4 | — | 14 | 2 | no | — |
| 592 | C4×D4 | — | 14 | 4 | no | — |
| 593 | C4×D4 | — | 14 | 2 | no | — |
| 594 | C4×D4 | — | 14 | 2 | no | — |
| 595 | C4×D4 | — | 14 | 1 | no | — |
| 596 | C4×D4 | — | 14 | 1 | no | — |
| 597 | #117 | — | 7 | 1 | no | — |
| 598 | #117 | — | 7 | 2 | no | — |
| 599 | #117 | — | 14 | 2 | no | — |
| 600 | #117 | — | 14 | 2 | no | — |
| 601 | #117 | — | 14 | 2 | no | — |
| 602 | #117 | — | 14 | 2 | no | — |
| 603 | #117 | — | 14 | 1 | no | — |
| 604 | #117 | — | 14 | 1 | no | — |
| 605 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 606 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 607 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 608 | C2×C4⋊C4 | — | 14 | 2 | no | — |
| 609 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 610 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 611 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 612 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 613 | C2×C4⋊C4 | C22×D7 | 1 | 2 | yes | — |
| 614 | C2×C42 | — | 7 | 2 | no | — |
| 615 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 616 | #107 | — | 7 | 4 | no | — |
| 617 | #107 | — | 7 | 4 | no | — |
| 618 | #106 | — | 7 | 4 | no | — |
| 619 | #106 | — | 7 | 4 | no | — |
| 620 | #103 | — | 7 | 4 | no | — |
| 621 | #103 | — | 7 | 4 | no | — |
| 622 | #103 | C22×D7 | 1 | 4 | yes | — |
| 623 | #103 | C22×D7 | 1 | 4 | yes | — |
| 624 | #102 | — | 7 | 4 | no | — |
| 625 | #102 | — | 7 | 4 | no | — |
| 626 | #102 | C22×D7 | 1 | 4 | yes | — |
| 627 | #102 | C22×D7 | 1 | 4 | yes | — |
| 628 | #97 | — | 7 | 4 | no | — |
| 629 | #97 | — | 7 | 1 | no | — |
| 630 | #97 | — | 7 | 1 | no | — |
| 631 | #97 | — | 7 | 2 | no | — |
| 632 | #97 | C22×D7 | 1 | 2 | yes | — |
| 633 | C4×C8 | — | 7 | 4 | no | — |
| 634 | C4×C8 | C22×D7 | 1 | 2 | yes | — |
| 635 | C22×C7 | — | 2 | 1 | no | — |
| 636 | C22×C7 | — | 2 | 1 | no | — |
| 637 | C22×C7 | — | 4 | 1 | no | — |
| 638 | C22×C7 | — | 4 | 1 | no | — |
| 639 | C22×C7 | — | 4 | 1 | no | — |
| 640 | C22×C7 | — | 4 | 1 | no | — |
| 641 | C22×C7 | — | 4 | 1 | no | — |
| 642 | C22×C7 | — | 4 | 1 | no | — |
| 643 | C22×C7 | #532 | 1 | 2 | yes | — |
| 644 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 645 | C2×D7 | — | 2 | 2 | no | — |
| 646 | C2×D7 | — | 2 | 2 | no | — |
| 647 | C2×D7 | — | 2 | 2 | no | — |
| 648 | C2×D7 | — | 4 | 2 | no | — |
| 649 | C2×D7 | — | 4 | 2 | no | — |
| 650 | C2×D7 | — | 4 | 2 | no | — |
| 651 | C4×C7 | — | 2 | 1 | no | — |
| 652 | C4×C7 | — | 2 | 1 | no | — |
| 653 | C4×C7 | — | 2 | 1 | no | — |
| 654 | C4×C7 | — | 2 | 1 | no | — |
| 655 | C4×C7 | — | 4 | 4 | no | — |
| 656 | C4×C7 | — | 4 | 1 | no | — |
| 657 | C4×C7 | — | 4 | 1 | no | — |
| 658 | C4×C7 | #532 | 1 | 2 | yes | — |
| 659 | C4×C7 | C22×#41 | 1 | 2 | yes | — |
| 660 | Dic7 | — | 2 | 2 | no | — |
| 661 | Dic7 | — | 2 | 2 | no | — |
| 662 | Dic7 | — | 2 | 2 | no | — |
| 663 | Dic7 | — | 4 | 2 | no | — |
| 664 | Dic7 | — | 4 | 2 | no | — |
| 665 | Dic7 | — | 4 | 2 | no | — |
| 666 | #41 | — | 2 | 4 | no | — |
| 667 | #41 | — | 2 | 4 | no | — |
| 668 | #41 | — | 14 | 4 | no | — |
| 669 | #41 | — | 14 | 4 | no | — |
| 670 | #41 | — | 14 | 4 | no | — |
| 671 | #41 | — | 56 | 4 | no | — |
| 672 | C2×Q8 | — | 2 | 2 | no | — |
| 673 | C2×Q8 | — | 2 | 2 | no | — |
| 674 | C2×Q8 | — | 7 | 1 | no | — |
| 675 | C2×Q8 | — | 7 | 2 | no | — |
| 676 | C2×Q8 | — | 8 | 2 | no | — |
| 677 | C2×Q8 | C23×D7 | 1 | 1 | yes | characteristic |
| 678 | C2×Q8 | C23×D7 | 1 | 1 | yes | characteristic |
| 679 | C2×D4 | — | 2 | 1 | no | — |
| 680 | C2×D4 | — | 2 | 1 | no | — |
| 681 | C2×D4 | — | 2 | 1 | no | — |
| 682 | C2×D4 | — | 2 | 1 | no | — |
| 683 | C2×D4 | — | 7 | 2 | no | — |
| 684 | C2×D4 | — | 7 | 1 | no | — |
| 685 | C2×D4 | — | 7 | 2 | no | — |
| 686 | C2×D4 | — | 14 | 4 | no | — |
| 687 | C2×D4 | — | 14 | 2 | no | — |
| 688 | C2×D4 | — | 14 | 2 | no | — |
| 689 | C2×D4 | — | 14 | 2 | no | — |
| 690 | C2×D4 | — | 14 | 1 | no | — |
| 691 | C2×D4 | — | 14 | 1 | no | — |
| 692 | C2×D4 | C23×D7 | 1 | 1 | yes | characteristic |
| 693 | C2×D4 | C23×D7 | 1 | 1 | yes | characteristic |
| 694 | C22×C4 | — | 2 | 2 | no | — |
| 695 | C22×C4 | — | 2 | 1 | no | — |
| 696 | C22×C4 | — | 2 | 1 | no | — |
| 697 | C22×C4 | — | 7 | 2 | no | — |
| 698 | C22×C4 | — | 7 | 2 | no | — |
| 699 | C22×C4 | — | 7 | 2 | no | — |
| 700 | C22×C4 | — | 14 | 4 | no | — |
| 701 | C22×C4 | — | 14 | 2 | no | — |
| 702 | C22×C4 | — | 14 | 2 | no | — |
| 703 | C22×C4 | — | 14 | 1 | no | — |
| 704 | C22×C4 | — | 14 | 1 | no | — |
| 705 | C22×C4 | — | 14 | 2 | no | — |
| 706 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 707 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 708 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 709 | Q16 | — | 14 | 4 | no | — |
| 710 | Q16 | — | 14 | 4 | no | — |
| 711 | SD16 | — | 14 | 4 | no | — |
| 712 | SD16 | — | 14 | 4 | no | — |
| 713 | SD16 | — | 14 | 4 | no | — |
| 714 | SD16 | — | 14 | 4 | no | — |
| 715 | D8 | — | 14 | 4 | no | — |
| 716 | D8 | — | 14 | 4 | no | — |
| 717 | M16 | — | 2 | 4 | no | — |
| 718 | M16 | — | 14 | 8 | no | — |
| 719 | C2×C8 | — | 7 | 8 | no | — |
| 720 | C2×C8 | — | 7 | 2 | no | — |
| 721 | C2×C8 | — | 7 | 2 | no | — |
| 722 | C2×C8 | — | 14 | 8 | no | — |
| 723 | C2×C8 | C23×D7 | 1 | 4 | yes | — |
| 724 | C4⋊C4 | — | 2 | 2 | no | — |
| 725 | C4⋊C4 | — | 2 | 2 | no | — |
| 726 | C4⋊C4 | — | 2 | 2 | no | — |
| 727 | C4⋊C4 | — | 2 | 1 | no | — |
| 728 | C4⋊C4 | — | 2 | 1 | no | — |
| 729 | C4⋊C4 | — | 7 | 2 | no | — |
| 730 | C4⋊C4 | — | 7 | 2 | no | — |
| 731 | C4⋊C4 | — | 7 | 1 | no | — |
| 732 | C4⋊C4 | — | 7 | 1 | no | — |
| 733 | C4⋊C4 | — | 7 | 2 | no | — |
| 734 | C4⋊C4 | — | 7 | 2 | no | — |
| 735 | C4⋊C4 | — | 14 | 4 | no | — |
| 736 | C4⋊C4 | — | 14 | 2 | no | — |
| 737 | C4⋊C4 | — | 14 | 2 | no | — |
| 738 | C4⋊C4 | — | 14 | 2 | no | — |
| 739 | C4⋊C4 | — | 14 | 2 | no | — |
| 740 | C4⋊C4 | — | 14 | 4 | no | — |
| 741 | C4⋊C4 | — | 14 | 2 | no | — |
| 742 | C4⋊C4 | — | 14 | 2 | no | — |
| 743 | C4⋊C4 | — | 14 | 2 | no | — |
| 744 | C4⋊C4 | — | 14 | 2 | no | — |
| 745 | C4⋊C4 | — | 14 | 1 | no | — |
| 746 | C4⋊C4 | — | 14 | 1 | no | — |
| 747 | C4⋊C4 | — | 14 | 1 | no | — |
| 748 | C4⋊C4 | — | 14 | 1 | no | — |
| 749 | C4⋊C4 | C23×D7 | 1 | 4 | yes | — |
| 750 | C22⋊C4 | — | 2 | 1 | no | — |
| 751 | C22⋊C4 | — | 2 | 1 | no | — |
| 752 | C22⋊C4 | — | 2 | 1 | no | — |
| 753 | C22⋊C4 | — | 2 | 1 | no | — |
| 754 | C22⋊C4 | — | 7 | 2 | no | — |
| 755 | C22⋊C4 | — | 7 | 2 | no | — |
| 756 | C22⋊C4 | — | 7 | 2 | no | — |
| 757 | C22⋊C4 | — | 14 | 4 | no | — |
| 758 | C22⋊C4 | — | 14 | 4 | no | — |
| 759 | C22⋊C4 | — | 14 | 4 | no | — |
| 760 | C22⋊C4 | — | 14 | 2 | no | — |
| 761 | C22⋊C4 | — | 14 | 2 | no | — |
| 762 | C22⋊C4 | — | 14 | 2 | no | — |
| 763 | C22⋊C4 | — | 14 | 2 | no | — |
| 764 | C22⋊C4 | — | 14 | 2 | no | — |
| 765 | C22⋊C4 | — | 14 | 2 | no | — |
| 766 | C22⋊C4 | — | 14 | 2 | no | — |
| 767 | C22⋊C4 | — | 14 | 2 | no | — |
| 768 | C42 | — | 7 | 2 | no | — |
| 769 | C42 | — | 7 | 2 | no | — |
| 770 | C42 | — | 7 | 2 | no | — |
| 771 | C42 | — | 14 | 2 | no | — |
| 772 | C42 | — | 14 | 2 | no | — |
| 773 | C42 | — | 14 | 4 | no | — |
| 774 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 775 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 776 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 777 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 778 | C2×C7 | — | 2 | 2 | no | — |
| 779 | C2×C7 | — | 8 | 1 | no | — |
| 780 | C2×C7 | — | 8 | 1 | no | — |
| 781 | C2×C7 | C2×#532 | 1 | 1 | yes | characteristic |
| 782 | C2×C7 | #3585 | 1 | 1 | yes | characteristic |
| 783 | C2×C7 | #3586 | 1 | 1 | yes | characteristic |
| 784 | D7 | — | 4 | 2 | no | — |
| 785 | D7 | — | 8 | 2 | no | — |
| 786 | C23 | — | 2 | 1 | no | — |
| 787 | C23 | — | 2 | 1 | no | — |
| 788 | C23 | — | 7 | 2 | no | — |
| 789 | C23 | — | 14 | 2 | no | — |
| 790 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 791 | Q8 | — | 2 | 2 | no | — |
| 792 | Q8 | — | 2 | 2 | no | — |
| 793 | Q8 | — | 4 | 4 | no | — |
| 794 | Q8 | — | 8 | 2 | no | — |
| 795 | Q8 | — | 14 | 2 | no | — |
| 796 | Q8 | — | 14 | 2 | no | — |
| 797 | Q8 | — | 14 | 2 | no | — |
| 798 | D4 | — | 2 | 2 | no | — |
| 799 | D4 | — | 2 | 2 | no | — |
| 800 | D4 | — | 4 | 2 | no | — |
| 801 | D4 | — | 4 | 2 | no | — |
| 802 | D4 | — | 8 | 1 | no | — |
| 803 | D4 | — | 8 | 1 | no | — |
| 804 | D4 | — | 14 | 4 | no | — |
| 805 | D4 | — | 14 | 2 | no | — |
| 806 | D4 | — | 14 | 2 | no | — |
| 807 | D4 | — | 14 | 2 | no | — |
| 808 | D4 | — | 28 | 2 | no | — |
| 809 | D4 | — | 28 | 2 | no | — |
| 810 | D4 | — | 28 | 4 | no | — |
| 811 | D4 | — | 56 | 4 | no | — |
| 812 | D4 | — | 56 | 2 | no | — |
| 813 | D4 | — | 56 | 2 | no | — |
| 814 | C2×C4 | — | 2 | 1 | no | — |
| 815 | C2×C4 | — | 2 | 1 | no | — |
| 816 | C2×C4 | — | 2 | 4 | no | — |
| 817 | C2×C4 | — | 4 | 1 | no | — |
| 818 | C2×C4 | — | 4 | 1 | no | — |
| 819 | C2×C4 | — | 4 | 2 | no | — |
| 820 | C2×C4 | — | 4 | 2 | no | — |
| 821 | C2×C4 | — | 7 | 2 | no | — |
| 822 | C2×C4 | — | 7 | 2 | no | — |
| 823 | C2×C4 | — | 7 | 2 | no | — |
| 824 | C2×C4 | — | 8 | 2 | no | — |
| 825 | C2×C4 | — | 14 | 4 | no | — |
| 826 | C2×C4 | — | 14 | 2 | no | — |
| 827 | C2×C4 | — | 14 | 2 | no | — |
| 828 | C2×C4 | — | 14 | 2 | no | — |
| 829 | C2×C4 | — | 28 | 2 | no | — |
| 830 | C2×C4 | — | 28 | 2 | no | — |
| 831 | C2×C4 | — | 28 | 4 | no | — |
| 832 | C2×C4 | — | 56 | 4 | no | — |
| 833 | C2×C4 | — | 56 | 2 | no | — |
| 834 | C2×C4 | — | 56 | 2 | no | — |
| 835 | C2×C4 | — | 56 | 1 | no | — |
| 836 | C2×C4 | — | 56 | 1 | no | — |
| 837 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 838 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 839 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 840 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 841 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 842 | C2×C4 | D7×#41 | 1 | 4 | yes | — |
| 843 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 844 | C8 | — | 2 | 4 | no | — |
| 845 | C8 | — | 7 | 4 | no | — |
| 846 | C8 | — | 7 | 4 | no | — |
| 847 | C7 | #60721 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 848 | C22 | — | 2 | 1 | no | — |
| 849 | C22 | — | 2 | 1 | no | — |
| 850 | C22 | — | 4 | 1 | no | — |
| 851 | C22 | — | 4 | 1 | no | — |
| 852 | C22 | — | 4 | 1 | no | — |
| 853 | C22 | — | 4 | 1 | no | — |
| 854 | C22 | — | 4 | 1 | no | — |
| 855 | C22 | — | 4 | 1 | no | — |
| 856 | C22 | — | 14 | 2 | no | — |
| 857 | C22 | — | 14 | 2 | no | — |
| 858 | C22 | — | 14 | 2 | no | — |
| 859 | C22 | — | 28 | 2 | no | — |
| 860 | C22 | — | 28 | 2 | no | — |
| 861 | C22 | — | 28 | 2 | no | — |
| 862 | C22 | #90359 | 1 | 2 | yes | — |
| 863 | C22 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 864 | C4 | — | 2 | 1 | no | — |
| 865 | C4 | — | 2 | 1 | no | — |
| 866 | C4 | — | 2 | 1 | no | — |
| 867 | C4 | — | 2 | 1 | no | — |
| 868 | C4 | — | 4 | 4 | no | — |
| 869 | C4 | — | 4 | 1 | no | — |
| 870 | C4 | — | 4 | 1 | no | — |
| 871 | C4 | — | 14 | 2 | no | — |
| 872 | C4 | — | 14 | 2 | no | — |
| 873 | C4 | — | 14 | 2 | no | — |
| 874 | C4 | — | 28 | 2 | no | — |
| 875 | C4 | — | 28 | 2 | no | — |
| 876 | C4 | — | 28 | 2 | no | — |
| 877 | C4 | #90359 | 1 | 2 | yes | — |
| 878 | C4 | C2×D7×#41 | 1 | 2 | yes | — |
| 879 | C2 | — | 2 | 2 | no | — |
| 880 | C2 | — | 8 | 1 | no | — |
| 881 | C2 | — | 8 | 1 | no | — |
| 882 | C2 | — | 28 | 2 | no | — |
| 883 | C2 | — | 56 | 2 | no | — |
| 884 | C2 | C2×#90359 | 1 | 1 | yes | characteristic |
| 885 | C2 | #11744260 | 1 | 1 | yes | characteristic |
| 886 | C2 | #11744265 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743295 | C2 | semidirect |
| 2. #11743273 | C2 | semidirect |
| 3. C7×#3141 | C2 | semidirect |
| 4. #11740731 | C2 | semidirect |
| 5. C2×#89852 | C2 | semidirect |
| 6. #11739114 | C2 | semidirect |
| 7. #11739113 | C2 | semidirect |
| 8. #11739110 | C2 | semidirect |
| 9. #11739109 | C2 | semidirect |
| 10. #11739039 | C2 | semidirect |
| 11. #11739003 | C2 | semidirect |
| 12. #11736336 | C2 | semidirect |
| 13. #11736335 | C2 | semidirect |
| 14. #11736314 | C2 | semidirect |
| 15. #11736313 | C2 | semidirect |
| 16. #11735974 | C2 | semidirect |
| 17. #11735961 | C2 | semidirect |
| 243. #3141 | D7 | semidirect |
| 356. C2×C7⋊C8 | #41 | semidirect |
| 847. C7 | #60721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11743295 | 2 |
| #11743273 | 2 |
| C7×#3141 | 2 |
| #11740731 | 2 |
| C2×#89852 | 2 |
| #11739114 | 2 |
| #11739113 | 2 |
| #11739110 | 2 |
| #11739109 | 2 |
| #11739039 | 2 |
| #11739003 | 2 |
| #11736336 | 2 |
| #11736335 | 2 |
| #11736314 | 2 |
| #11736313 | 2 |
| #11735974 | 2 |
| #11735961 | 2 |
| #60721 | 7 |