Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
6662 conjugacy classes of subgroups.
The subgroup lattice has 1218 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C7×#3567 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | D7×#564 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11744209 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | D7×#562 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #11744174 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | D7×#553 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #11743975 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | D7×#552 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | #11743925 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | D7×#540 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #11743551 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | D7×#539 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | #11743519 | C2 | 1 | 6 | yes | maximal, complemented |
| 14 | #11743254 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | D7×#529 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | C7×#564 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C7×#562 | C22 | 1 | 3 | yes | complemented |
| 18 | C7×#553 | C22 | 1 | 6 | yes | complemented |
| 19 | C7×#552 | C22 | 1 | 6 | yes | complemented |
| 20 | C7×#540 | C22 | 1 | 6 | yes | complemented |
| 21 | C7×#539 | C22 | 1 | 6 | yes | complemented |
| 22 | C7×#529 | C22 | 1 | 3 | yes | complemented |
| 23 | #90410 | C22 | 1 | 6 | yes | complemented |
| 24 | D7×#127 | C22 | 1 | 2 | yes | — |
| 25 | #90400 | C22 | 1 | 6 | yes | complemented |
| 26 | #90400 | C22 | 1 | 6 | yes | complemented |
| 27 | #90399 | C22 | 1 | 6 | yes | complemented |
| 28 | #90399 | C22 | 1 | 6 | yes | complemented |
| 29 | #90398 | C22 | 1 | 6 | yes | complemented |
| 30 | #90398 | C22 | 1 | 6 | yes | complemented |
| 31 | #90397 | C22 | 1 | 6 | yes | complemented |
| 32 | D7×#126 | C22 | 1 | 2 | yes | — |
| 33 | D7×#126 | C22 | 1 | 6 | yes | — |
| 34 | D7×#126 | C22 | 1 | 6 | yes | — |
| 35 | #90391 | C22 | 1 | 3 | yes | complemented |
| 36 | #90389 | C22 | 1 | 6 | yes | complemented |
| 37 | #90386 | C22 | 1 | 6 | yes | complemented |
| 38 | #90385 | C22 | 1 | 6 | yes | complemented |
| 39 | #90384 | C22 | 1 | 6 | yes | complemented |
| 40 | #90384 | C22 | 1 | 6 | yes | complemented |
| 41 | #90383 | C22 | 1 | 6 | yes | complemented |
| 42 | #90383 | C22 | 1 | 6 | yes | complemented |
| 43 | #90382 | C22 | 1 | 3 | yes | complemented |
| 44 | D7×#125 | C22 | 1 | 6 | yes | — |
| 45 | D7×#125 | C22 | 1 | 6 | yes | — |
| 46 | D7×#125 | C22 | 1 | 6 | yes | — |
| 47 | D7×#125 | C22 | 1 | 3 | yes | — |
| 48 | C7⋊#564 | C22 | 1 | 3 | yes | complemented |
| 49 | C7⋊#564 | C22 | 1 | 6 | yes | complemented |
| 50 | C7⋊#564 | C22 | 1 | 6 | yes | complemented |
| 51 | #90375 | C22 | 1 | 3 | yes | complemented |
| 52 | #90375 | C22 | 1 | 3 | yes | complemented |
| 53 | #90371 | C22 | 1 | 3 | yes | complemented |
| 54 | D7×#124 | C22 | 1 | 3 | yes | — |
| 55 | #90358 | C22 | 1 | 6 | yes | complemented |
| 56 | #90358 | C22 | 1 | 6 | yes | complemented |
| 57 | #90356 | C22 | 1 | 6 | yes | complemented |
| 58 | #90356 | C22 | 1 | 6 | yes | complemented |
| 59 | #90354 | C22 | 1 | 6 | yes | complemented |
| 60 | #90354 | C22 | 1 | 6 | yes | complemented |
| 61 | #90354 | C22 | 1 | 6 | yes | complemented |
| 62 | #90354 | C22 | 1 | 6 | yes | complemented |
| 63 | #90352 | C22 | 1 | 6 | yes | complemented |
| 64 | #90352 | C22 | 1 | 6 | yes | complemented |
| 65 | #90351 | C22 | 1 | 6 | yes | complemented |
| 66 | #90351 | C22 | 1 | 6 | yes | complemented |
| 67 | D7×#123 | C22 | 1 | 6 | yes | — |
| 68 | D7×#123 | C22 | 1 | 6 | yes | — |
| 69 | D7×#123 | C22 | 1 | 6 | yes | — |
| 70 | D7×#123 | C22 | 1 | 6 | yes | — |
| 71 | D7×#123 | C22 | 1 | 6 | yes | — |
| 72 | #90341 | C22 | 1 | 6 | yes | complemented |
| 73 | #90341 | C22 | 1 | 6 | yes | complemented |
| 74 | #90340 | C22 | 1 | 6 | yes | complemented |
| 75 | #90338 | C22 | 1 | 6 | yes | complemented |
| 76 | #90338 | C22 | 1 | 6 | yes | complemented |
| 77 | #90336 | C22 | 1 | 6 | yes | complemented |
| 78 | #90333 | C22 | 1 | 6 | yes | complemented |
| 79 | #90330 | C22 | 1 | 6 | yes | complemented |
| 80 | #90329 | C22 | 1 | 6 | yes | complemented |
| 81 | #90329 | C22 | 1 | 6 | yes | complemented |
| 82 | D7×C22⋊Q8 | C22 | 1 | 3 | yes | — |
| 83 | D7×C22⋊Q8 | C22 | 1 | 6 | yes | — |
| 84 | D7×C22⋊Q8 | C22 | 1 | 6 | yes | — |
| 85 | #90315 | C22 | 1 | 3 | yes | complemented |
| 86 | #90312 | C22 | 1 | 6 | yes | complemented |
| 87 | #90312 | C22 | 1 | 6 | yes | complemented |
| 88 | #90310 | C22 | 1 | 6 | yes | complemented |
| 89 | #90310 | C22 | 1 | 6 | yes | complemented |
| 90 | #90309 | C22 | 1 | 6 | yes | complemented |
| 91 | #90306 | C22 | 1 | 6 | yes | complemented |
| 92 | #90306 | C22 | 1 | 6 | yes | complemented |
| 93 | #90306 | C22 | 1 | 6 | yes | complemented |
| 94 | #90306 | C22 | 1 | 6 | yes | complemented |
| 95 | #90305 | C22 | 1 | 6 | yes | complemented |
| 96 | D7×#121 | C22 | 1 | 6 | yes | — |
| 97 | D7×#121 | C22 | 1 | 3 | yes | — |
| 98 | D7×#121 | C22 | 1 | 6 | yes | — |
| 99 | D7×#121 | C22 | 1 | 6 | yes | — |
| 100 | D7×#121 | C22 | 1 | 6 | yes | — |
| 101 | #90293 | C22 | 1 | 6 | yes | complemented |
| 102 | #90292 | C22 | 1 | 6 | yes | complemented |
| 103 | #90292 | C22 | 1 | 6 | yes | complemented |
| 104 | #90291 | C22 | 1 | 3 | yes | complemented |
| 105 | #90272 | C22 | 1 | 6 | yes | complemented |
| 106 | #90271 | C22 | 1 | 3 | yes | complemented |
| 107 | C4×Q8×D7 | C22 | 1 | 3 | yes | — |
| 108 | #90256 | C22 | 1 | 6 | yes | complemented |
| 109 | #90255 | C22 | 1 | 6 | yes | complemented |
| 110 | #90255 | C22 | 1 | 6 | yes | complemented |
| 111 | #90253 | C22 | 1 | 6 | yes | complemented |
| 112 | #90253 | C22 | 1 | 6 | yes | complemented |
| 113 | #90249 | C22 | 1 | 6 | yes | complemented |
| 114 | #90248 | C22 | 1 | 3 | yes | complemented |
| 115 | C4×D4×D7 | C22 | 1 | 6 | yes | — |
| 116 | C4×D4×D7 | C22 | 1 | 6 | yes | — |
| 117 | C4×D4×D7 | C22 | 1 | 6 | yes | — |
| 118 | C4×D4×D7 | C22 | 1 | 3 | yes | — |
| 119 | #90232 | C22 | 1 | 6 | yes | complemented |
| 120 | #90231 | C22 | 1 | 6 | yes | complemented |
| 121 | #90231 | C22 | 1 | 6 | yes | complemented |
| 122 | #90229 | C22 | 1 | 6 | yes | complemented |
| 123 | #90226 | C22 | 1 | 6 | yes | complemented |
| 124 | #90222 | C22 | 1 | 6 | yes | complemented |
| 125 | #90222 | C22 | 1 | 6 | yes | complemented |
| 126 | #90221 | C22 | 1 | 6 | yes | complemented |
| 127 | #90220 | C22 | 1 | 6 | yes | complemented |
| 128 | #90219 | C22 | 1 | 6 | yes | complemented |
| 129 | D7×#117 | C22 | 1 | 6 | yes | — |
| 130 | D7×#117 | C22 | 1 | 6 | yes | — |
| 131 | #90206 | C22 | 1 | 6 | yes | complemented |
| 132 | #90205 | C22 | 1 | 6 | yes | complemented |
| 133 | #90204 | C22 | 1 | 6 | yes | complemented |
| 134 | C2×D7×C4⋊C4 | C22 | 1 | 6 | yes | — |
| 135 | #90170 | C22 | 1 | 3 | yes | complemented |
| 136 | C2×C42×D7 | C22 | 1 | 1 | yes | characteristic |
| 137 | C2×#3567 | — | 7 | 1 | no | maximal, Sylow |
| 138 | C2×Q8×D7 | C23 | 1 | 3 | yes | — |
| 139 | C2×D4×D7 | C23 | 1 | 6 | yes | — |
| 140 | C2×D4×D7 | C23 | 1 | 6 | yes | — |
| 141 | C2×D4×D7 | C23 | 1 | 6 | yes | — |
| 142 | C2×D4×D7 | C23 | 1 | 3 | yes | — |
| 143 | C22×C4×D7 | C23 | 1 | 3 | yes | — |
| 144 | C22×C4×D7 | C23 | 1 | 6 | yes | — |
| 145 | C22×C4×D7 | C23 | 1 | 6 | yes | — |
| 146 | C22×C4×D7 | C23 | 1 | 6 | yes | — |
| 147 | C7×#127 | C23 | 1 | 2 | yes | — |
| 148 | C7×#126 | C23 | 1 | 6 | yes | — |
| 149 | C7×#126 | C23 | 1 | 2 | yes | — |
| 150 | C7×#126 | C23 | 1 | 6 | yes | — |
| 151 | C7×#125 | C23 | 1 | 3 | yes | — |
| 152 | C7×#125 | C23 | 1 | 6 | yes | — |
| 153 | C7×#125 | C23 | 1 | 6 | yes | — |
| 154 | C7×#125 | C23 | 1 | 6 | yes | — |
| 155 | C7×#124 | C23 | 1 | 3 | yes | — |
| 156 | C7×#123 | C23 | 1 | 6 | yes | — |
| 157 | C7×#123 | C23 | 1 | 6 | yes | — |
| 158 | C7×#123 | C23 | 1 | 6 | yes | — |
| 159 | C7×#123 | C23 | 1 | 6 | yes | — |
| 160 | C7×#123 | C23 | 1 | 6 | yes | — |
| 161 | C7×C22⋊Q8 | C23 | 1 | 3 | yes | — |
| 162 | C7×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 163 | C7×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 164 | C7×#121 | C23 | 1 | 3 | yes | — |
| 165 | C7×#121 | C23 | 1 | 6 | yes | — |
| 166 | C7×#121 | C23 | 1 | 6 | yes | — |
| 167 | C7×#121 | C23 | 1 | 6 | yes | — |
| 168 | C7×#121 | C23 | 1 | 6 | yes | — |
| 169 | C4×C7×Q8 | C23 | 1 | 3 | yes | — |
| 170 | C4×C7×D4 | C23 | 1 | 6 | yes | — |
| 171 | C4×C7×D4 | C23 | 1 | 3 | yes | — |
| 172 | C4×C7×D4 | C23 | 1 | 6 | yes | — |
| 173 | C4×C7×D4 | C23 | 1 | 6 | yes | — |
| 174 | C7×#117 | C23 | 1 | 6 | yes | — |
| 175 | C7×#117 | C23 | 1 | 6 | yes | — |
| 176 | C2×C7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 177 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 178 | #6510 | C23 | 1 | 3 | yes | — |
| 179 | #6509 | C23 | 1 | 3 | yes | — |
| 180 | #6509 | C23 | 1 | 6 | yes | — |
| 181 | #6509 | C23 | 1 | 6 | yes | — |
| 182 | Q8×Dic7 | C23 | 1 | 3 | yes | — |
| 183 | #6503 | C23 | 1 | 6 | yes | — |
| 184 | #6503 | C23 | 1 | 6 | yes | — |
| 185 | #6502 | C23 | 1 | 6 | yes | — |
| 186 | #6502 | C23 | 1 | 6 | yes | — |
| 187 | #6502 | C23 | 1 | 6 | yes | — |
| 188 | #6502 | C23 | 1 | 6 | yes | — |
| 189 | #6502 | C23 | 1 | 6 | yes | — |
| 190 | #6502 | C23 | 1 | 6 | yes | — |
| 191 | #6502 | C23 | 1 | 6 | yes | — |
| 192 | #6502 | C23 | 1 | 6 | yes | — |
| 193 | #6502 | C23 | 1 | 6 | yes | — |
| 194 | #6501 | C23 | 1 | 3 | yes | — |
| 195 | #6501 | C23 | 1 | 6 | yes | — |
| 196 | #6501 | C23 | 1 | 6 | yes | — |
| 197 | #6501 | C23 | 1 | 6 | yes | — |
| 198 | #6501 | C23 | 1 | 6 | yes | — |
| 199 | #6499 | C23 | 1 | 3 | yes | — |
| 200 | #6498 | C23 | 1 | 6 | yes | — |
| 201 | #6498 | C23 | 1 | 6 | yes | — |
| 202 | #6498 | C23 | 1 | 6 | yes | — |
| 203 | #6498 | C23 | 1 | 6 | yes | — |
| 204 | #6498 | C23 | 1 | 6 | yes | — |
| 205 | D4×Dic7 | C23 | 1 | 3 | yes | — |
| 206 | D4×Dic7 | C23 | 1 | 6 | yes | — |
| 207 | D4×Dic7 | C23 | 1 | 6 | yes | — |
| 208 | D4×Dic7 | C23 | 1 | 6 | yes | — |
| 209 | #6493 | C23 | 1 | 3 | yes | — |
| 210 | #6493 | C23 | 1 | 6 | yes | — |
| 211 | #6493 | C23 | 1 | 6 | yes | — |
| 212 | #6493 | C23 | 1 | 6 | yes | — |
| 213 | #6493 | C23 | 1 | 6 | yes | — |
| 214 | #6492 | C23 | 1 | 6 | yes | — |
| 215 | #6492 | C23 | 1 | 6 | yes | — |
| 216 | #6492 | C23 | 1 | 6 | yes | — |
| 217 | #6492 | C23 | 1 | 6 | yes | — |
| 218 | #6492 | C23 | 1 | 6 | yes | — |
| 219 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 220 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 221 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 222 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 223 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 224 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 225 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 226 | #6489 | C23 | 1 | 6 | yes | — |
| 227 | #6489 | C23 | 1 | 6 | yes | — |
| 228 | C2×C4⋊Dic7 | C23 | 1 | 6 | yes | — |
| 229 | #6487 | C23 | 1 | 3 | yes | — |
| 230 | #6487 | C23 | 1 | 6 | yes | — |
| 231 | #6487 | C23 | 1 | 6 | yes | — |
| 232 | C2×Dic7⋊C4 | C23 | 1 | 6 | yes | — |
| 233 | C2×Dic7⋊C4 | C23 | 1 | 6 | yes | — |
| 234 | C2×C4×Dic7 | C23 | 1 | 3 | yes | — |
| 235 | #6461 | C23 | 1 | 6 | yes | — |
| 236 | #6461 | C23 | 1 | 6 | yes | — |
| 237 | #6461 | C23 | 1 | 6 | yes | — |
| 238 | #6461 | C23 | 1 | 6 | yes | — |
| 239 | #6461 | C23 | 1 | 6 | yes | — |
| 240 | #6461 | C23 | 1 | 6 | yes | — |
| 241 | #6461 | C23 | 1 | 6 | yes | — |
| 242 | #6460 | C23 | 1 | 3 | yes | — |
| 243 | #6460 | C23 | 1 | 6 | yes | — |
| 244 | #6460 | C23 | 1 | 6 | yes | — |
| 245 | #6459 | C23 | 1 | 6 | yes | — |
| 246 | #6459 | C23 | 1 | 6 | yes | — |
| 247 | #6459 | C23 | 1 | 6 | yes | — |
| 248 | #6459 | C23 | 1 | 6 | yes | — |
| 249 | #6459 | C23 | 1 | 6 | yes | — |
| 250 | #6458 | C23 | 1 | 3 | yes | — |
| 251 | #6458 | C23 | 1 | 6 | yes | — |
| 252 | #6458 | C23 | 1 | 6 | yes | — |
| 253 | #6458 | C23 | 1 | 6 | yes | — |
| 254 | #6458 | C23 | 1 | 6 | yes | — |
| 255 | #6457 | C23 | 1 | 6 | yes | — |
| 256 | #6457 | C23 | 1 | 6 | yes | — |
| 257 | #6457 | C23 | 1 | 6 | yes | — |
| 258 | #6457 | C23 | 1 | 6 | yes | — |
| 259 | #6457 | C23 | 1 | 6 | yes | — |
| 260 | #6457 | C23 | 1 | 6 | yes | — |
| 261 | #6457 | C23 | 1 | 6 | yes | — |
| 262 | #6457 | C23 | 1 | 6 | yes | — |
| 263 | #6457 | C23 | 1 | 6 | yes | — |
| 264 | #6457 | C23 | 1 | 6 | yes | — |
| 265 | #6456 | C23 | 1 | 6 | yes | — |
| 266 | #6456 | C23 | 1 | 3 | yes | — |
| 267 | #6456 | C23 | 1 | 6 | yes | — |
| 268 | #6456 | C23 | 1 | 6 | yes | — |
| 269 | #6455 | C23 | 1 | 6 | yes | — |
| 270 | #6455 | C23 | 1 | 6 | yes | — |
| 271 | #6455 | C23 | 1 | 6 | yes | — |
| 272 | #6455 | C23 | 1 | 6 | yes | — |
| 273 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 274 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 275 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 276 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 277 | D7×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 278 | D7×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 279 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 280 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 281 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 282 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 283 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 284 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 285 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 286 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 287 | #6453 | C23 | 1 | 6 | yes | — |
| 288 | #6453 | C23 | 1 | 6 | yes | — |
| 289 | #6453 | C23 | 1 | 6 | yes | — |
| 290 | #6453 | C23 | 1 | 6 | yes | — |
| 291 | #6453 | C23 | 1 | 3 | yes | — |
| 292 | #6453 | C23 | 1 | 3 | yes | — |
| 293 | #6453 | C23 | 1 | 6 | yes | — |
| 294 | #6453 | C23 | 1 | 6 | yes | — |
| 295 | #6452 | C23 | 1 | 6 | yes | — |
| 296 | #6452 | C23 | 1 | 6 | yes | — |
| 297 | #6452 | C23 | 1 | 6 | yes | — |
| 298 | #6452 | C23 | 1 | 6 | yes | — |
| 299 | #6452 | C23 | 1 | 6 | yes | — |
| 300 | #6452 | C23 | 1 | 6 | yes | — |
| 301 | #6452 | C23 | 1 | 6 | yes | — |
| 302 | #6452 | C23 | 1 | 6 | yes | — |
| 303 | #6452 | C23 | 1 | 6 | yes | — |
| 304 | #6452 | C23 | 1 | 6 | yes | — |
| 305 | #6452 | C23 | 1 | 6 | yes | — |
| 306 | #6452 | C23 | 1 | 6 | yes | — |
| 307 | #6452 | C23 | 1 | 6 | yes | — |
| 308 | #6452 | C23 | 1 | 6 | yes | — |
| 309 | #6450 | C23 | 1 | 3 | yes | — |
| 310 | #6450 | C23 | 1 | 6 | yes | — |
| 311 | #6449 | C23 | 1 | 6 | yes | — |
| 312 | #6449 | C23 | 1 | 6 | yes | — |
| 313 | #6449 | C23 | 1 | 6 | yes | — |
| 314 | #6449 | C23 | 1 | 6 | yes | — |
| 315 | #6449 | C23 | 1 | 6 | yes | — |
| 316 | #6448 | C23 | 1 | 6 | yes | — |
| 317 | #6448 | C23 | 1 | 6 | yes | — |
| 318 | #6447 | C23 | 1 | 6 | yes | — |
| 319 | #6447 | C23 | 1 | 6 | yes | — |
| 320 | #6447 | C23 | 1 | 6 | yes | — |
| 321 | #6447 | C23 | 1 | 6 | yes | — |
| 322 | #6447 | C23 | 1 | 6 | yes | — |
| 323 | #6447 | C23 | 1 | 6 | yes | — |
| 324 | #6447 | C23 | 1 | 6 | yes | — |
| 325 | #6447 | C23 | 1 | 6 | yes | — |
| 326 | #6447 | C23 | 1 | 6 | yes | — |
| 327 | #6446 | C23 | 1 | 6 | yes | — |
| 328 | #6446 | C23 | 1 | 6 | yes | — |
| 329 | #6446 | C23 | 1 | 6 | yes | — |
| 330 | #6446 | C23 | 1 | 6 | yes | — |
| 331 | #6446 | C23 | 1 | 6 | yes | — |
| 332 | #6446 | C23 | 1 | 6 | yes | — |
| 333 | #6446 | C23 | 1 | 6 | yes | — |
| 334 | #6446 | C23 | 1 | 6 | yes | — |
| 335 | #6446 | C23 | 1 | 6 | yes | — |
| 336 | #6446 | C23 | 1 | 6 | yes | — |
| 337 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 338 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 339 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 340 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 341 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 342 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 343 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 344 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 345 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 346 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 347 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 348 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 349 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 350 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 351 | #6442 | C23 | 1 | 6 | yes | — |
| 352 | #6442 | C23 | 1 | 6 | yes | — |
| 353 | #6442 | C23 | 1 | 6 | yes | — |
| 354 | #6442 | C23 | 1 | 6 | yes | — |
| 355 | #6442 | C23 | 1 | 6 | yes | — |
| 356 | #6442 | C23 | 1 | 6 | yes | — |
| 357 | #6442 | C23 | 1 | 6 | yes | — |
| 358 | #6441 | C23 | 1 | 6 | yes | — |
| 359 | #6441 | C23 | 1 | 6 | yes | — |
| 360 | #6441 | C23 | 1 | 6 | yes | — |
| 361 | #6441 | C23 | 1 | 6 | yes | — |
| 362 | #6441 | C23 | 1 | 6 | yes | — |
| 363 | #6440 | C23 | 1 | 6 | yes | — |
| 364 | #6440 | C23 | 1 | 6 | yes | — |
| 365 | #6440 | C23 | 1 | 6 | yes | — |
| 366 | #6440 | C23 | 1 | 6 | yes | — |
| 367 | #6439 | C23 | 1 | 2 | yes | — |
| 368 | #6439 | C23 | 1 | 6 | yes | — |
| 369 | #6439 | C23 | 1 | 6 | yes | — |
| 370 | #6438 | C23 | 1 | 3 | yes | — |
| 371 | #6437 | C23 | 1 | 2 | yes | — |
| 372 | C4×D28 | C23 | 1 | 6 | yes | — |
| 373 | C4×D28 | C23 | 1 | 6 | yes | — |
| 374 | C4×D28 | C23 | 1 | 6 | yes | — |
| 375 | C4×D28 | C23 | 1 | 3 | yes | — |
| 376 | #6435 | C23 | 1 | 6 | yes | — |
| 377 | #6435 | C23 | 1 | 6 | yes | — |
| 378 | #6435 | C23 | 1 | 6 | yes | — |
| 379 | #6435 | C23 | 1 | 6 | yes | — |
| 380 | C42×D7 | C23 | 1 | 1 | yes | characteristic |
| 381 | C42×D7 | C23 | 1 | 2 | yes | — |
| 382 | C42×D7 | C23 | 1 | 2 | yes | — |
| 383 | C42×D7 | C23 | 1 | 1 | yes | characteristic |
| 384 | C42×D7 | C23 | 1 | 6 | yes | — |
| 385 | C42×D7 | C23 | 1 | 3 | yes | — |
| 386 | C42×D7 | C23 | 1 | 3 | yes | — |
| 387 | #6433 | C23 | 1 | 3 | yes | — |
| 388 | #6433 | C23 | 1 | 6 | yes | — |
| 389 | #6433 | C23 | 1 | 6 | yes | — |
| 390 | #6433 | C23 | 1 | 6 | yes | — |
| 391 | C4×Dic14 | C23 | 1 | 6 | yes | — |
| 392 | C4×Dic14 | C23 | 1 | 3 | yes | — |
| 393 | #3567 | — | 7 | 1 | no | — |
| 394 | #3567 | — | 7 | 3 | no | — |
| 395 | #3567 | — | 7 | 6 | no | — |
| 396 | #3567 | — | 7 | 6 | no | — |
| 397 | #3567 | — | 7 | 6 | no | — |
| 398 | #3567 | — | 7 | 6 | no | — |
| 399 | #3567 | — | 7 | 3 | no | — |
| 400 | #3567 | D7 | 1 | 1 | yes | characteristic, direct product factor |
| 401 | C2×#564 | — | 7 | 1 | no | — |
| 402 | C2×#562 | — | 7 | 3 | no | — |
| 403 | C2×#553 | — | 7 | 6 | no | — |
| 404 | C2×#552 | — | 7 | 6 | no | — |
| 405 | C2×#540 | — | 7 | 6 | no | — |
| 406 | C2×#539 | — | 7 | 6 | no | — |
| 407 | C2×#529 | — | 7 | 3 | no | — |
| 408 | C23×D7 | C24 | 1 | 6 | yes | — |
| 409 | C23×D7 | C24 | 1 | 1 | yes | characteristic |
| 410 | C2×C7×Q8 | C24 | 1 | 3 | yes | — |
| 411 | C2×C7×D4 | C24 | 1 | 6 | yes | — |
| 412 | C2×C7×D4 | C24 | 1 | 6 | yes | — |
| 413 | C2×C7×D4 | C24 | 1 | 6 | yes | — |
| 414 | C2×C7×D4 | C24 | 1 | 3 | yes | — |
| 415 | C22×C4×C7 | C24 | 1 | 3 | yes | — |
| 416 | C22×C4×C7 | C24 | 1 | 6 | yes | — |
| 417 | C22×C4×C7 | C24 | 1 | 6 | yes | — |
| 418 | C22×C4×C7 | C24 | 1 | 6 | yes | — |
| 419 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 420 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 421 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 422 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 423 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 424 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 425 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 426 | C22×Dic7 | C24 | 1 | 6 | yes | — |
| 427 | C22×Dic7 | C24 | 1 | 6 | yes | — |
| 428 | C22×Dic7 | C24 | 1 | 3 | yes | — |
| 429 | C22×Dic7 | C24 | 1 | 6 | yes | — |
| 430 | Q8×D7 | — | 4 | 6 | no | — |
| 431 | D4×D7 | — | 4 | 12 | no | — |
| 432 | D4×D7 | — | 4 | 12 | no | — |
| 433 | D4×D7 | — | 4 | 12 | no | — |
| 434 | D4×D7 | — | 4 | 6 | no | — |
| 435 | C2×D28 | C24 | 1 | 6 | yes | — |
| 436 | C2×D28 | C24 | 1 | 6 | yes | — |
| 437 | C2×D28 | C24 | 1 | 3 | yes | — |
| 438 | C2×D28 | C24 | 1 | 6 | yes | — |
| 439 | C2×C4×D7 | — | 4 | 12 | no | — |
| 440 | C2×C4×D7 | — | 4 | 6 | no | — |
| 441 | C2×C4×D7 | — | 4 | 12 | no | — |
| 442 | C2×C4×D7 | — | 4 | 12 | no | — |
| 443 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 444 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 445 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 446 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 447 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 448 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 449 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 450 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 451 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 452 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 453 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 454 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 455 | C2×C4×D7 | C24 | 1 | 6 | yes | — |
| 456 | C2×Dic14 | C24 | 1 | 3 | yes | — |
| 457 | C2×Dic14 | C24 | 1 | 6 | yes | — |
| 458 | C7×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 459 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 460 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 461 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 462 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 463 | C7×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 464 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 465 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 466 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 467 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 468 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 469 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 470 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 471 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 472 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 473 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 474 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 475 | C42×C7 | C24 | 1 | 6 | yes | — |
| 476 | C42×C7 | C24 | 1 | 3 | yes | — |
| 477 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 478 | C42×C7 | C24 | 1 | 2 | yes | — |
| 479 | C42×C7 | C24 | 1 | 2 | yes | — |
| 480 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 481 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 482 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 483 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 484 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 485 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 486 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 487 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 488 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 489 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 490 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 491 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 492 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 493 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 494 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 495 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 496 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 497 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 498 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 499 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 500 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 501 | C4⋊Dic7 | C24 | 1 | 3 | yes | — |
| 502 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 503 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 504 | C4⋊Dic7 | C24 | 1 | 3 | yes | — |
| 505 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 506 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 507 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 508 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 509 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 510 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 511 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 512 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 513 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 514 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 515 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 516 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 517 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 518 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 519 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 520 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 521 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 522 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 523 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 524 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 525 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 526 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 527 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 528 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 529 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 530 | C4×Dic7 | C24 | 1 | 6 | yes | — |
| 531 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 532 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 533 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 534 | C4×Dic7 | C24 | 1 | 6 | yes | — |
| 535 | C4×Dic7 | C24 | 1 | 6 | yes | — |
| 536 | C4×Dic7 | C24 | 1 | 6 | yes | — |
| 537 | C4×Dic7 | C24 | 1 | 6 | yes | — |
| 538 | #564 | — | 7 | 6 | no | — |
| 539 | #564 | — | 7 | 6 | no | — |
| 540 | #564 | — | 7 | 3 | no | — |
| 541 | #564 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 542 | #562 | — | 7 | 3 | no | — |
| 543 | #562 | — | 7 | 3 | no | — |
| 544 | #562 | — | 7 | 3 | no | — |
| 545 | #562 | — | 7 | 6 | no | — |
| 546 | #562 | — | 7 | 6 | no | — |
| 547 | #562 | — | 7 | 6 | no | — |
| 548 | #562 | — | 7 | 6 | no | — |
| 549 | #562 | — | 7 | 6 | no | — |
| 550 | #562 | — | 7 | 6 | no | — |
| 551 | #562 | C2×D7 | 1 | 3 | yes | complemented |
| 552 | #553 | — | 7 | 6 | no | — |
| 553 | #553 | — | 7 | 6 | no | — |
| 554 | #553 | — | 7 | 6 | no | — |
| 555 | #553 | — | 7 | 6 | no | — |
| 556 | #553 | — | 7 | 6 | no | — |
| 557 | #553 | — | 7 | 6 | no | — |
| 558 | #553 | — | 7 | 6 | no | — |
| 559 | #553 | — | 7 | 6 | no | — |
| 560 | #553 | — | 7 | 6 | no | — |
| 561 | #553 | — | 7 | 6 | no | — |
| 562 | #553 | — | 7 | 6 | no | — |
| 563 | #553 | — | 7 | 6 | no | — |
| 564 | #553 | — | 7 | 6 | no | — |
| 565 | #553 | — | 7 | 6 | no | — |
| 566 | #553 | — | 7 | 6 | no | — |
| 567 | #553 | C2×D7 | 1 | 6 | yes | complemented |
| 568 | #552 | — | 7 | 6 | no | — |
| 569 | #552 | — | 7 | 6 | no | — |
| 570 | #552 | — | 7 | 6 | no | — |
| 571 | #552 | — | 7 | 6 | no | — |
| 572 | #552 | — | 7 | 6 | no | — |
| 573 | #552 | — | 7 | 6 | no | — |
| 574 | #552 | — | 7 | 6 | no | — |
| 575 | #552 | — | 7 | 6 | no | — |
| 576 | #552 | — | 7 | 6 | no | — |
| 577 | #552 | — | 7 | 6 | no | — |
| 578 | #552 | — | 7 | 6 | no | — |
| 579 | #552 | — | 7 | 6 | no | — |
| 580 | #552 | — | 7 | 6 | no | — |
| 581 | #552 | — | 7 | 6 | no | — |
| 582 | #552 | — | 7 | 6 | no | — |
| 583 | #552 | C2×D7 | 1 | 6 | yes | complemented |
| 584 | #540 | — | 7 | 6 | no | — |
| 585 | #540 | — | 7 | 6 | no | — |
| 586 | #540 | — | 7 | 6 | no | — |
| 587 | #540 | — | 7 | 6 | no | — |
| 588 | #540 | — | 7 | 6 | no | — |
| 589 | #540 | — | 7 | 6 | no | — |
| 590 | #540 | — | 7 | 6 | no | — |
| 591 | #540 | — | 7 | 6 | no | — |
| 592 | #540 | — | 7 | 6 | no | — |
| 593 | #540 | — | 7 | 6 | no | — |
| 594 | #540 | — | 7 | 6 | no | — |
| 595 | #540 | — | 7 | 6 | no | — |
| 596 | #540 | — | 7 | 6 | no | — |
| 597 | #540 | — | 7 | 6 | no | — |
| 598 | #540 | — | 7 | 6 | no | — |
| 599 | #540 | C2×D7 | 1 | 6 | yes | complemented |
| 600 | #539 | — | 7 | 6 | no | — |
| 601 | #539 | — | 7 | 6 | no | — |
| 602 | #539 | — | 7 | 6 | no | — |
| 603 | #539 | — | 7 | 6 | no | — |
| 604 | #539 | — | 7 | 6 | no | — |
| 605 | #539 | — | 7 | 6 | no | — |
| 606 | #539 | — | 7 | 6 | no | — |
| 607 | #539 | — | 7 | 6 | no | — |
| 608 | #539 | — | 7 | 6 | no | — |
| 609 | #539 | — | 7 | 6 | no | — |
| 610 | #539 | — | 7 | 6 | no | — |
| 611 | #539 | — | 7 | 6 | no | — |
| 612 | #539 | — | 7 | 6 | no | — |
| 613 | #539 | — | 7 | 6 | no | — |
| 614 | #539 | — | 7 | 6 | no | — |
| 615 | #539 | C2×D7 | 1 | 6 | yes | complemented |
| 616 | C2×#127 | — | 7 | 2 | no | — |
| 617 | #529 | — | 7 | 6 | no | — |
| 618 | #529 | — | 7 | 3 | no | — |
| 619 | #529 | — | 7 | 3 | no | — |
| 620 | #529 | — | 7 | 6 | no | — |
| 621 | #529 | — | 7 | 3 | no | — |
| 622 | #529 | — | 7 | 3 | no | — |
| 623 | #529 | — | 7 | 3 | no | — |
| 624 | #529 | — | 7 | 6 | no | — |
| 625 | #529 | — | 7 | 3 | no | — |
| 626 | #529 | — | 7 | 6 | no | — |
| 627 | #529 | — | 7 | 3 | no | — |
| 628 | #529 | C2×D7 | 1 | 3 | yes | complemented |
| 629 | C2×#126 | — | 7 | 6 | no | — |
| 630 | C2×#126 | — | 7 | 2 | no | — |
| 631 | C2×#126 | — | 7 | 6 | no | — |
| 632 | C2×#125 | — | 7 | 3 | no | — |
| 633 | C2×#125 | — | 7 | 6 | no | — |
| 634 | C2×#125 | — | 7 | 6 | no | — |
| 635 | C2×#125 | — | 7 | 6 | no | — |
| 636 | C2×#124 | — | 7 | 3 | no | — |
| 637 | C2×#123 | — | 7 | 6 | no | — |
| 638 | C2×#123 | — | 7 | 6 | no | — |
| 639 | C2×#123 | — | 7 | 6 | no | — |
| 640 | C2×#123 | — | 7 | 6 | no | — |
| 641 | C2×#123 | — | 7 | 6 | no | — |
| 642 | C2×C22⋊Q8 | — | 7 | 3 | no | — |
| 643 | C2×C22⋊Q8 | — | 7 | 6 | no | — |
| 644 | C2×C22⋊Q8 | — | 7 | 6 | no | — |
| 645 | C2×#121 | — | 7 | 3 | no | — |
| 646 | C2×#121 | — | 7 | 6 | no | — |
| 647 | C2×#121 | — | 7 | 6 | no | — |
| 648 | C2×#121 | — | 7 | 6 | no | — |
| 649 | C2×#121 | — | 7 | 6 | no | — |
| 650 | C2×C4×Q8 | — | 7 | 3 | no | — |
| 651 | C2×C4×D4 | — | 7 | 6 | no | — |
| 652 | C2×C4×D4 | — | 7 | 3 | no | — |
| 653 | C2×C4×D4 | — | 7 | 6 | no | — |
| 654 | C2×C4×D4 | — | 7 | 6 | no | — |
| 655 | C2×#117 | — | 7 | 6 | no | — |
| 656 | C2×#117 | — | 7 | 6 | no | — |
| 657 | C22×C4⋊C4 | — | 7 | 6 | no | — |
| 658 | C22×C42 | — | 7 | 1 | no | — |
| 659 | C23×C7 | C25 | 1 | 6 | yes | — |
| 660 | C23×C7 | C25 | 1 | 1 | yes | characteristic |
| 661 | C22×D7 | — | 2 | 12 | no | — |
| 662 | C22×D7 | — | 2 | 12 | no | — |
| 663 | C22×D7 | — | 2 | 6 | no | — |
| 664 | C22×D7 | — | 2 | 12 | no | — |
| 665 | C22×D7 | C25 | 1 | 6 | yes | — |
| 666 | C22×D7 | C25 | 1 | 1 | yes | characteristic |
| 667 | C22×D7 | C25 | 1 | 1 | yes | characteristic |
| 668 | C7×Q8 | — | 4 | 3 | no | — |
| 669 | C7×D4 | — | 4 | 3 | no | — |
| 670 | C7×D4 | — | 4 | 6 | no | — |
| 671 | C7×D4 | — | 4 | 6 | no | — |
| 672 | C7×D4 | — | 4 | 6 | no | — |
| 673 | C2×C4×C7 | — | 4 | 6 | no | — |
| 674 | C2×C4×C7 | — | 4 | 6 | no | — |
| 675 | C2×C4×C7 | — | 4 | 3 | no | — |
| 676 | C2×C4×C7 | — | 4 | 6 | no | — |
| 677 | C2×C4×C7 | C25 | 1 | 3 | yes | — |
| 678 | C2×C4×C7 | C25 | 1 | 6 | yes | — |
| 679 | C2×C4×C7 | C25 | 1 | 3 | yes | — |
| 680 | C2×C4×C7 | C25 | 1 | 6 | yes | — |
| 681 | C2×C4×C7 | C25 | 1 | 6 | yes | — |
| 682 | C22⋊D7 | — | 4 | 6 | no | — |
| 683 | C22⋊D7 | — | 4 | 6 | no | — |
| 684 | C22⋊D7 | — | 4 | 6 | no | — |
| 685 | C22⋊D7 | — | 4 | 6 | no | — |
| 686 | C22⋊D7 | — | 4 | 6 | no | — |
| 687 | C22⋊D7 | — | 4 | 6 | no | — |
| 688 | C22⋊D7 | — | 4 | 6 | no | — |
| 689 | C2×Dic7 | — | 4 | 6 | no | — |
| 690 | C2×Dic7 | — | 4 | 6 | no | — |
| 691 | C2×Dic7 | — | 4 | 3 | no | — |
| 692 | C2×Dic7 | — | 4 | 6 | no | — |
| 693 | C2×Dic7 | C25 | 1 | 3 | yes | — |
| 694 | C2×Dic7 | C25 | 1 | 6 | yes | — |
| 695 | C2×Dic7 | C25 | 1 | 3 | yes | — |
| 696 | C2×Dic7 | C25 | 1 | 6 | yes | — |
| 697 | C2×Dic7 | C25 | 1 | 6 | yes | — |
| 698 | D28 | — | 4 | 3 | no | — |
| 699 | D28 | — | 4 | 6 | no | — |
| 700 | D28 | — | 4 | 6 | no | — |
| 701 | D28 | — | 4 | 6 | no | — |
| 702 | C4×D7 | — | 2 | 6 | no | — |
| 703 | C4×D7 | — | 2 | 12 | no | — |
| 704 | C4×D7 | — | 2 | 12 | no | — |
| 705 | C4×D7 | — | 2 | 12 | no | — |
| 706 | C4×D7 | — | 2 | 6 | no | — |
| 707 | C4×D7 | — | 4 | 6 | no | — |
| 708 | C4×D7 | — | 4 | 6 | no | — |
| 709 | C4×D7 | — | 4 | 3 | no | — |
| 710 | C4×D7 | — | 4 | 3 | no | — |
| 711 | C4×D7 | — | 4 | 6 | no | — |
| 712 | C4×D7 | — | 4 | 6 | no | — |
| 713 | C4×D7 | — | 4 | 6 | no | — |
| 714 | C4×D7 | — | 4 | 6 | no | — |
| 715 | Dic14 | — | 4 | 3 | no | — |
| 716 | Dic14 | — | 4 | 6 | no | — |
| 717 | C22×Q8 | — | 7 | 3 | no | — |
| 718 | C22×D4 | — | 7 | 6 | no | — |
| 719 | C22×D4 | — | 7 | 3 | no | — |
| 720 | C22×D4 | — | 7 | 6 | no | — |
| 721 | C22×D4 | — | 7 | 6 | no | — |
| 722 | C23×C4 | — | 7 | 6 | no | — |
| 723 | C23×C4 | — | 7 | 6 | no | — |
| 724 | C23×C4 | — | 7 | 6 | no | — |
| 725 | C23×C4 | — | 7 | 3 | no | — |
| 726 | #127 | — | 7 | 6 | no | — |
| 727 | #127 | — | 7 | 6 | no | — |
| 728 | #127 | — | 7 | 2 | no | — |
| 729 | #127 | C22×D7 | 1 | 2 | yes | — |
| 730 | #126 | — | 7 | 6 | no | — |
| 731 | #126 | — | 7 | 6 | no | — |
| 732 | #126 | — | 7 | 6 | no | — |
| 733 | #126 | — | 7 | 6 | no | — |
| 734 | #126 | — | 7 | 6 | no | — |
| 735 | #126 | — | 7 | 6 | no | — |
| 736 | #126 | — | 7 | 6 | no | — |
| 737 | #126 | — | 7 | 6 | no | — |
| 738 | #126 | — | 7 | 6 | no | — |
| 739 | #126 | — | 7 | 6 | no | — |
| 740 | #126 | — | 7 | 6 | no | — |
| 741 | #126 | — | 7 | 6 | no | — |
| 742 | #126 | — | 7 | 6 | no | — |
| 743 | #126 | — | 7 | 6 | no | — |
| 744 | #126 | — | 7 | 6 | no | — |
| 745 | #126 | — | 7 | 2 | no | — |
| 746 | #126 | — | 7 | 6 | no | — |
| 747 | #126 | C22×D7 | 1 | 6 | yes | — |
| 748 | #126 | C22×D7 | 1 | 2 | yes | — |
| 749 | #126 | C22×D7 | 1 | 6 | yes | — |
| 750 | #125 | — | 7 | 6 | no | — |
| 751 | #125 | — | 7 | 6 | no | — |
| 752 | #125 | — | 7 | 3 | no | — |
| 753 | #125 | — | 7 | 3 | no | — |
| 754 | #125 | — | 7 | 6 | no | — |
| 755 | #125 | — | 7 | 6 | no | — |
| 756 | #125 | — | 7 | 6 | no | — |
| 757 | #125 | — | 7 | 6 | no | — |
| 758 | #125 | — | 7 | 6 | no | — |
| 759 | #125 | — | 7 | 6 | no | — |
| 760 | #125 | — | 7 | 6 | no | — |
| 761 | #125 | — | 7 | 6 | no | — |
| 762 | #125 | — | 7 | 6 | no | — |
| 763 | #125 | — | 7 | 6 | no | — |
| 764 | #125 | — | 7 | 6 | no | — |
| 765 | #125 | — | 7 | 6 | no | — |
| 766 | #125 | — | 7 | 6 | no | — |
| 767 | #125 | — | 7 | 6 | no | — |
| 768 | #125 | — | 7 | 6 | no | — |
| 769 | #125 | — | 7 | 6 | no | — |
| 770 | #125 | — | 7 | 6 | no | — |
| 771 | #125 | — | 7 | 6 | no | — |
| 772 | #125 | — | 7 | 3 | no | — |
| 773 | #125 | — | 7 | 6 | no | — |
| 774 | #125 | — | 7 | 6 | no | — |
| 775 | #125 | — | 7 | 6 | no | — |
| 776 | #125 | C22×D7 | 1 | 3 | yes | — |
| 777 | #125 | C22×D7 | 1 | 6 | yes | — |
| 778 | #125 | C22×D7 | 1 | 6 | yes | — |
| 779 | #125 | C22×D7 | 1 | 6 | yes | — |
| 780 | #124 | — | 7 | 3 | no | — |
| 781 | #124 | — | 7 | 3 | no | — |
| 782 | #124 | — | 7 | 6 | no | — |
| 783 | #124 | — | 7 | 6 | no | — |
| 784 | #124 | — | 7 | 3 | no | — |
| 785 | #124 | C22×D7 | 1 | 3 | yes | — |
| 786 | #123 | — | 7 | 6 | no | — |
| 787 | #123 | — | 7 | 6 | no | — |
| 788 | #123 | — | 7 | 6 | no | — |
| 789 | #123 | — | 7 | 6 | no | — |
| 790 | #123 | — | 7 | 6 | no | — |
| 791 | #123 | — | 7 | 6 | no | — |
| 792 | #123 | — | 7 | 6 | no | — |
| 793 | #123 | — | 7 | 6 | no | — |
| 794 | #123 | — | 7 | 6 | no | — |
| 795 | #123 | — | 7 | 6 | no | — |
| 796 | #123 | — | 7 | 6 | no | — |
| 797 | #123 | — | 7 | 6 | no | — |
| 798 | #123 | — | 7 | 6 | no | — |
| 799 | #123 | — | 7 | 6 | no | — |
| 800 | #123 | — | 7 | 6 | no | — |
| 801 | #123 | — | 7 | 6 | no | — |
| 802 | #123 | — | 7 | 6 | no | — |
| 803 | #123 | — | 7 | 6 | no | — |
| 804 | #123 | — | 7 | 6 | no | — |
| 805 | #123 | — | 7 | 6 | no | — |
| 806 | #123 | — | 7 | 6 | no | — |
| 807 | #123 | — | 7 | 6 | no | — |
| 808 | #123 | — | 7 | 6 | no | — |
| 809 | #123 | — | 7 | 6 | no | — |
| 810 | #123 | — | 7 | 6 | no | — |
| 811 | #123 | — | 7 | 6 | no | — |
| 812 | #123 | — | 7 | 6 | no | — |
| 813 | #123 | — | 7 | 6 | no | — |
| 814 | #123 | — | 7 | 6 | no | — |
| 815 | #123 | — | 7 | 6 | no | — |
| 816 | #123 | — | 7 | 6 | no | — |
| 817 | #123 | — | 7 | 6 | no | — |
| 818 | #123 | — | 7 | 6 | no | — |
| 819 | #123 | — | 7 | 6 | no | — |
| 820 | #123 | — | 7 | 6 | no | — |
| 821 | #123 | C22×D7 | 1 | 6 | yes | — |
| 822 | #123 | C22×D7 | 1 | 6 | yes | — |
| 823 | #123 | C22×D7 | 1 | 6 | yes | — |
| 824 | #123 | C22×D7 | 1 | 6 | yes | — |
| 825 | #123 | C22×D7 | 1 | 6 | yes | — |
| 826 | C22⋊Q8 | — | 7 | 3 | no | — |
| 827 | C22⋊Q8 | — | 7 | 6 | no | — |
| 828 | C22⋊Q8 | — | 7 | 6 | no | — |
| 829 | C22⋊Q8 | — | 7 | 3 | no | — |
| 830 | C22⋊Q8 | — | 7 | 6 | no | — |
| 831 | C22⋊Q8 | — | 7 | 6 | no | — |
| 832 | C22⋊Q8 | — | 7 | 6 | no | — |
| 833 | C22⋊Q8 | — | 7 | 3 | no | — |
| 834 | C22⋊Q8 | — | 7 | 6 | no | — |
| 835 | C22⋊Q8 | — | 7 | 6 | no | — |
| 836 | C22⋊Q8 | — | 7 | 6 | no | — |
| 837 | C22⋊Q8 | — | 7 | 6 | no | — |
| 838 | C22⋊Q8 | — | 7 | 6 | no | — |
| 839 | C22⋊Q8 | — | 7 | 6 | no | — |
| 840 | C22⋊Q8 | — | 7 | 6 | no | — |
| 841 | C22⋊Q8 | — | 7 | 6 | no | — |
| 842 | C22⋊Q8 | — | 7 | 6 | no | — |
| 843 | C22⋊Q8 | — | 7 | 6 | no | — |
| 844 | C22⋊Q8 | — | 7 | 6 | no | — |
| 845 | C22⋊Q8 | C22×D7 | 1 | 3 | yes | — |
| 846 | C22⋊Q8 | C22×D7 | 1 | 6 | yes | — |
| 847 | C22⋊Q8 | C22×D7 | 1 | 6 | yes | — |
| 848 | #121 | — | 7 | 3 | no | — |
| 849 | #121 | — | 7 | 6 | no | — |
| 850 | #121 | — | 7 | 6 | no | — |
| 851 | #121 | — | 7 | 6 | no | — |
| 852 | #121 | — | 7 | 6 | no | — |
| 853 | #121 | — | 7 | 6 | no | — |
| 854 | #121 | — | 7 | 6 | no | — |
| 855 | #121 | — | 7 | 6 | no | — |
| 856 | #121 | — | 7 | 6 | no | — |
| 857 | #121 | — | 7 | 6 | no | — |
| 858 | #121 | — | 7 | 6 | no | — |
| 859 | #121 | — | 7 | 6 | no | — |
| 860 | #121 | — | 7 | 6 | no | — |
| 861 | #121 | — | 7 | 6 | no | — |
| 862 | #121 | — | 7 | 3 | no | — |
| 863 | #121 | — | 7 | 6 | no | — |
| 864 | #121 | — | 7 | 6 | no | — |
| 865 | #121 | — | 7 | 6 | no | — |
| 866 | #121 | — | 7 | 6 | no | — |
| 867 | #121 | — | 7 | 3 | no | — |
| 868 | #121 | — | 7 | 6 | no | — |
| 869 | #121 | — | 7 | 6 | no | — |
| 870 | #121 | — | 7 | 6 | no | — |
| 871 | #121 | — | 7 | 6 | no | — |
| 872 | #121 | — | 7 | 6 | no | — |
| 873 | #121 | — | 7 | 6 | no | — |
| 874 | #121 | — | 7 | 6 | no | — |
| 875 | #121 | — | 7 | 6 | no | — |
| 876 | #121 | — | 7 | 6 | no | — |
| 877 | #121 | — | 7 | 6 | no | — |
| 878 | #121 | — | 7 | 6 | no | — |
| 879 | #121 | — | 7 | 6 | no | — |
| 880 | #121 | — | 7 | 6 | no | — |
| 881 | #121 | C22×D7 | 1 | 3 | yes | — |
| 882 | #121 | C22×D7 | 1 | 6 | yes | — |
| 883 | #121 | C22×D7 | 1 | 6 | yes | — |
| 884 | #121 | C22×D7 | 1 | 6 | yes | — |
| 885 | #121 | C22×D7 | 1 | 6 | yes | — |
| 886 | C4×Q8 | — | 7 | 3 | no | — |
| 887 | C4×Q8 | — | 7 | 3 | no | — |
| 888 | C4×Q8 | — | 7 | 6 | no | — |
| 889 | C4×Q8 | — | 7 | 6 | no | — |
| 890 | C4×Q8 | — | 7 | 3 | no | — |
| 891 | C4×Q8 | C22×D7 | 1 | 3 | yes | — |
| 892 | C4×D4 | — | 7 | 6 | no | — |
| 893 | C4×D4 | — | 7 | 3 | no | — |
| 894 | C4×D4 | — | 7 | 6 | no | — |
| 895 | C4×D4 | — | 7 | 6 | no | — |
| 896 | C4×D4 | — | 7 | 6 | no | — |
| 897 | C4×D4 | — | 7 | 6 | no | — |
| 898 | C4×D4 | — | 7 | 6 | no | — |
| 899 | C4×D4 | — | 7 | 6 | no | — |
| 900 | C4×D4 | — | 7 | 6 | no | — |
| 901 | C4×D4 | — | 7 | 6 | no | — |
| 902 | C4×D4 | — | 7 | 6 | no | — |
| 903 | C4×D4 | — | 7 | 6 | no | — |
| 904 | C4×D4 | — | 7 | 3 | no | — |
| 905 | C4×D4 | — | 7 | 6 | no | — |
| 906 | C4×D4 | — | 7 | 6 | no | — |
| 907 | C4×D4 | — | 7 | 6 | no | — |
| 908 | C4×D4 | — | 7 | 6 | no | — |
| 909 | C4×D4 | — | 7 | 6 | no | — |
| 910 | C4×D4 | — | 7 | 6 | no | — |
| 911 | C4×D4 | — | 7 | 6 | no | — |
| 912 | C4×D4 | — | 7 | 6 | no | — |
| 913 | C4×D4 | — | 7 | 6 | no | — |
| 914 | C4×D4 | — | 7 | 6 | no | — |
| 915 | C4×D4 | — | 7 | 3 | no | — |
| 916 | C4×D4 | — | 7 | 6 | no | — |
| 917 | C4×D4 | — | 7 | 6 | no | — |
| 918 | C4×D4 | C22×D7 | 1 | 6 | yes | — |
| 919 | C4×D4 | C22×D7 | 1 | 3 | yes | — |
| 920 | C4×D4 | C22×D7 | 1 | 6 | yes | — |
| 921 | C4×D4 | C22×D7 | 1 | 6 | yes | — |
| 922 | #117 | — | 7 | 6 | no | — |
| 923 | #117 | — | 7 | 6 | no | — |
| 924 | #117 | — | 7 | 6 | no | — |
| 925 | #117 | — | 7 | 6 | no | — |
| 926 | #117 | — | 7 | 6 | no | — |
| 927 | #117 | — | 7 | 6 | no | — |
| 928 | #117 | — | 7 | 6 | no | — |
| 929 | #117 | — | 7 | 6 | no | — |
| 930 | #117 | — | 7 | 6 | no | — |
| 931 | #117 | — | 7 | 6 | no | — |
| 932 | #117 | — | 7 | 6 | no | — |
| 933 | #117 | — | 7 | 6 | no | — |
| 934 | #117 | — | 7 | 6 | no | — |
| 935 | #117 | — | 7 | 6 | no | — |
| 936 | #117 | C22×D7 | 1 | 6 | yes | — |
| 937 | #117 | C22×D7 | 1 | 6 | yes | — |
| 938 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 939 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 940 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 941 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 942 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 943 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 944 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 945 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 946 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 947 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 948 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 949 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 950 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 951 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 952 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 953 | C2×C4⋊C4 | — | 7 | 3 | no | — |
| 954 | C2×C4⋊C4 | — | 7 | 3 | no | — |
| 955 | C2×C4⋊C4 | C22×D7 | 1 | 6 | yes | — |
| 956 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 957 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 958 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 959 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 960 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 961 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 962 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 963 | C2×C42 | — | 7 | 3 | no | — |
| 964 | C2×C42 | — | 7 | 2 | no | — |
| 965 | C2×C42 | — | 7 | 6 | no | — |
| 966 | C2×C42 | — | 7 | 3 | no | — |
| 967 | C2×C42 | — | 7 | 2 | no | — |
| 968 | C2×C42 | — | 7 | 1 | no | — |
| 969 | C2×C42 | — | 7 | 1 | no | — |
| 970 | C2×C42 | — | 7 | 3 | no | — |
| 971 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 972 | C22×C7 | — | 2 | 6 | no | — |
| 973 | C22×C7 | — | 2 | 6 | no | — |
| 974 | C22×C7 | — | 2 | 3 | no | — |
| 975 | C22×C7 | — | 2 | 6 | no | — |
| 976 | C22×C7 | C26 | 1 | 1 | yes | characteristic |
| 977 | C2×D7 | — | 2 | 6 | no | — |
| 978 | C2×D7 | — | 2 | 6 | no | — |
| 979 | C2×D7 | — | 2 | 3 | no | — |
| 980 | C2×D7 | — | 2 | 6 | no | — |
| 981 | C2×D7 | — | 4 | 24 | no | — |
| 982 | C2×D7 | — | 4 | 4 | no | — |
| 983 | C2×D7 | #585 | 1 | 6 | yes | — |
| 984 | C4×C7 | — | 2 | 6 | no | — |
| 985 | C4×C7 | — | 2 | 3 | no | — |
| 986 | C4×C7 | — | 2 | 3 | no | — |
| 987 | C4×C7 | — | 2 | 6 | no | — |
| 988 | C4×C7 | — | 2 | 6 | no | — |
| 989 | Dic7 | — | 2 | 6 | no | — |
| 990 | Dic7 | — | 2 | 3 | no | — |
| 991 | Dic7 | — | 2 | 3 | no | — |
| 992 | Dic7 | — | 2 | 6 | no | — |
| 993 | Dic7 | — | 2 | 6 | no | — |
| 994 | C24 | — | 7 | 6 | no | — |
| 995 | C24 | — | 7 | 1 | no | — |
| 996 | C2×Q8 | — | 7 | 6 | no | — |
| 997 | C2×Q8 | — | 7 | 3 | no | — |
| 998 | C2×Q8 | — | 28 | 6 | no | — |
| 999 | C2×Q8 | C23×D7 | 1 | 3 | yes | — |
| 1000 | C2×D4 | — | 7 | 6 | no | — |
| 1001 | C2×D4 | — | 7 | 6 | no | — |
| 1002 | C2×D4 | — | 7 | 6 | no | — |
| 1003 | C2×D4 | — | 7 | 6 | no | — |
| 1004 | C2×D4 | — | 7 | 6 | no | — |
| 1005 | C2×D4 | — | 7 | 6 | no | — |
| 1006 | C2×D4 | — | 7 | 6 | no | — |
| 1007 | C2×D4 | — | 7 | 6 | no | — |
| 1008 | C2×D4 | — | 7 | 3 | no | — |
| 1009 | C2×D4 | — | 7 | 6 | no | — |
| 1010 | C2×D4 | — | 7 | 6 | no | — |
| 1011 | C2×D4 | — | 28 | 12 | no | — |
| 1012 | C2×D4 | — | 28 | 12 | no | — |
| 1013 | C2×D4 | — | 28 | 12 | no | — |
| 1014 | C2×D4 | — | 28 | 6 | no | — |
| 1015 | C2×D4 | C23×D7 | 1 | 6 | yes | — |
| 1016 | C2×D4 | C23×D7 | 1 | 3 | yes | — |
| 1017 | C2×D4 | C23×D7 | 1 | 6 | yes | — |
| 1018 | C2×D4 | C23×D7 | 1 | 6 | yes | — |
| 1019 | C22×C4 | — | 7 | 3 | no | — |
| 1020 | C22×C4 | — | 7 | 6 | no | — |
| 1021 | C22×C4 | — | 7 | 6 | no | — |
| 1022 | C22×C4 | — | 7 | 6 | no | — |
| 1023 | C22×C4 | — | 7 | 3 | no | — |
| 1024 | C22×C4 | — | 7 | 3 | no | — |
| 1025 | C22×C4 | — | 7 | 6 | no | — |
| 1026 | C22×C4 | — | 7 | 6 | no | — |
| 1027 | C22×C4 | — | 7 | 6 | no | — |
| 1028 | C22×C4 | — | 7 | 3 | no | — |
| 1029 | C22×C4 | — | 7 | 3 | no | — |
| 1030 | C22×C4 | — | 7 | 6 | no | — |
| 1031 | C22×C4 | — | 7 | 6 | no | — |
| 1032 | C22×C4 | — | 7 | 6 | no | — |
| 1033 | C22×C4 | — | 7 | 6 | no | — |
| 1034 | C22×C4 | — | 7 | 6 | no | — |
| 1035 | C22×C4 | — | 7 | 6 | no | — |
| 1036 | C22×C4 | — | 28 | 12 | no | — |
| 1037 | C22×C4 | — | 28 | 6 | no | — |
| 1038 | C22×C4 | — | 28 | 12 | no | — |
| 1039 | C22×C4 | — | 28 | 12 | no | — |
| 1040 | C22×C4 | C23×D7 | 1 | 3 | yes | — |
| 1041 | C22×C4 | C23×D7 | 1 | 6 | yes | — |
| 1042 | C22×C4 | C23×D7 | 1 | 6 | yes | — |
| 1043 | C22×C4 | C23×D7 | 1 | 6 | yes | — |
| 1044 | C4⋊C4 | — | 7 | 6 | no | — |
| 1045 | C4⋊C4 | — | 7 | 6 | no | — |
| 1046 | C4⋊C4 | — | 7 | 6 | no | — |
| 1047 | C4⋊C4 | — | 7 | 6 | no | — |
| 1048 | C4⋊C4 | — | 7 | 6 | no | — |
| 1049 | C4⋊C4 | — | 7 | 6 | no | — |
| 1050 | C4⋊C4 | — | 7 | 6 | no | — |
| 1051 | C4⋊C4 | — | 7 | 6 | no | — |
| 1052 | C4⋊C4 | — | 7 | 6 | no | — |
| 1053 | C4⋊C4 | — | 7 | 6 | no | — |
| 1054 | C4⋊C4 | — | 7 | 6 | no | — |
| 1055 | C4⋊C4 | — | 7 | 6 | no | — |
| 1056 | C4⋊C4 | — | 7 | 6 | no | — |
| 1057 | C4⋊C4 | — | 7 | 6 | no | — |
| 1058 | C4⋊C4 | — | 7 | 6 | no | — |
| 1059 | C4⋊C4 | — | 7 | 6 | no | — |
| 1060 | C4⋊C4 | — | 7 | 6 | no | — |
| 1061 | C4⋊C4 | — | 7 | 6 | no | — |
| 1062 | C4⋊C4 | — | 7 | 6 | no | — |
| 1063 | C4⋊C4 | — | 7 | 6 | no | — |
| 1064 | C4⋊C4 | — | 7 | 6 | no | — |
| 1065 | C4⋊C4 | — | 7 | 6 | no | — |
| 1066 | C4⋊C4 | — | 7 | 6 | no | — |
| 1067 | C4⋊C4 | — | 7 | 6 | no | — |
| 1068 | C4⋊C4 | — | 7 | 6 | no | — |
| 1069 | C4⋊C4 | — | 7 | 6 | no | — |
| 1070 | C4⋊C4 | — | 7 | 3 | no | — |
| 1071 | C4⋊C4 | — | 7 | 3 | no | — |
| 1072 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1073 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1074 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1075 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1076 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1077 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1078 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1079 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1080 | C4⋊C4 | C23×D7 | 1 | 3 | yes | — |
| 1081 | C4⋊C4 | C23×D7 | 1 | 3 | yes | — |
| 1082 | C22⋊C4 | — | 7 | 6 | no | — |
| 1083 | C22⋊C4 | — | 7 | 6 | no | — |
| 1084 | C22⋊C4 | — | 7 | 6 | no | — |
| 1085 | C22⋊C4 | — | 7 | 6 | no | — |
| 1086 | C22⋊C4 | — | 7 | 6 | no | — |
| 1087 | C22⋊C4 | — | 7 | 6 | no | — |
| 1088 | C22⋊C4 | — | 7 | 6 | no | — |
| 1089 | C22⋊C4 | — | 7 | 6 | no | — |
| 1090 | C22⋊C4 | — | 7 | 6 | no | — |
| 1091 | C22⋊C4 | — | 7 | 6 | no | — |
| 1092 | C22⋊C4 | — | 7 | 6 | no | — |
| 1093 | C22⋊C4 | — | 7 | 6 | no | — |
| 1094 | C22⋊C4 | — | 7 | 6 | no | — |
| 1095 | C22⋊C4 | — | 7 | 6 | no | — |
| 1096 | C22⋊C4 | — | 7 | 6 | no | — |
| 1097 | C22⋊C4 | — | 7 | 6 | no | — |
| 1098 | C22⋊C4 | — | 7 | 6 | no | — |
| 1099 | C22⋊C4 | — | 7 | 6 | no | — |
| 1100 | C22⋊C4 | — | 7 | 6 | no | — |
| 1101 | C22⋊C4 | — | 7 | 6 | no | — |
| 1102 | C22⋊C4 | — | 7 | 6 | no | — |
| 1103 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1104 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1105 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1106 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1107 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1108 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1109 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 1110 | C42 | — | 7 | 3 | no | — |
| 1111 | C42 | — | 7 | 3 | no | — |
| 1112 | C42 | — | 7 | 3 | no | — |
| 1113 | C42 | — | 7 | 3 | no | — |
| 1114 | C42 | — | 7 | 6 | no | — |
| 1115 | C42 | — | 7 | 6 | no | — |
| 1116 | C42 | — | 7 | 6 | no | — |
| 1117 | C42 | — | 7 | 6 | no | — |
| 1118 | C42 | — | 7 | 6 | no | — |
| 1119 | C42 | C23×D7 | 1 | 3 | yes | — |
| 1120 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 1121 | C42 | C23×D7 | 1 | 2 | yes | — |
| 1122 | C42 | C23×D7 | 1 | 6 | yes | — |
| 1123 | C42 | C23×D7 | 1 | 2 | yes | — |
| 1124 | C2×C7 | — | 4 | 6 | no | — |
| 1125 | C2×C7 | — | 4 | 1 | no | — |
| 1126 | C2×C7 | C2×#585 | 1 | 3 | yes | — |
| 1127 | D7 | — | 4 | 6 | no | — |
| 1128 | D7 | — | 4 | 1 | no | — |
| 1129 | D7 | #3567 | 1 | 4 | yes | direct product factor |
| 1130 | C23 | — | 7 | 1 | no | — |
| 1131 | C23 | — | 7 | 6 | no | — |
| 1132 | C23 | — | 7 | 1 | no | — |
| 1133 | C23 | — | 14 | 12 | no | — |
| 1134 | C23 | — | 14 | 12 | no | — |
| 1135 | C23 | — | 14 | 6 | no | — |
| 1136 | C23 | — | 14 | 12 | no | — |
| 1137 | C23 | C24×D7 | 1 | 6 | yes | — |
| 1138 | C23 | C24×D7 | 1 | 1 | yes | characteristic |
| 1139 | Q8 | — | 4 | 3 | no | — |
| 1140 | Q8 | — | 28 | 6 | no | — |
| 1141 | Q8 | — | 28 | 3 | no | — |
| 1142 | D4 | — | 4 | 6 | no | — |
| 1143 | D4 | — | 4 | 6 | no | — |
| 1144 | D4 | — | 4 | 6 | no | — |
| 1145 | D4 | — | 4 | 3 | no | — |
| 1146 | D4 | — | 28 | 6 | no | — |
| 1147 | D4 | — | 28 | 6 | no | — |
| 1148 | D4 | — | 28 | 6 | no | — |
| 1149 | D4 | — | 28 | 3 | no | — |
| 1150 | D4 | — | 28 | 6 | no | — |
| 1151 | D4 | — | 28 | 6 | no | — |
| 1152 | D4 | — | 28 | 6 | no | — |
| 1153 | D4 | — | 28 | 6 | no | — |
| 1154 | D4 | — | 28 | 6 | no | — |
| 1155 | D4 | — | 28 | 6 | no | — |
| 1156 | D4 | — | 28 | 6 | no | — |
| 1157 | C2×C4 | — | 4 | 6 | no | — |
| 1158 | C2×C4 | — | 4 | 3 | no | — |
| 1159 | C2×C4 | — | 4 | 6 | no | — |
| 1160 | C2×C4 | — | 4 | 6 | no | — |
| 1161 | C2×C4 | — | 7 | 3 | no | — |
| 1162 | C2×C4 | — | 7 | 3 | no | — |
| 1163 | C2×C4 | — | 7 | 6 | no | — |
| 1164 | C2×C4 | — | 7 | 6 | no | — |
| 1165 | C2×C4 | — | 7 | 6 | no | — |
| 1166 | C2×C4 | — | 14 | 6 | no | — |
| 1167 | C2×C4 | — | 14 | 12 | no | — |
| 1168 | C2×C4 | — | 14 | 12 | no | — |
| 1169 | C2×C4 | — | 14 | 12 | no | — |
| 1170 | C2×C4 | — | 14 | 6 | no | — |
| 1171 | C2×C4 | — | 28 | 6 | no | — |
| 1172 | C2×C4 | — | 28 | 3 | no | — |
| 1173 | C2×C4 | — | 28 | 6 | no | — |
| 1174 | C2×C4 | — | 28 | 6 | no | — |
| 1175 | C2×C4 | — | 28 | 6 | no | — |
| 1176 | C2×C4 | — | 28 | 6 | no | — |
| 1177 | C2×C4 | — | 28 | 6 | no | — |
| 1178 | C2×C4 | — | 28 | 3 | no | — |
| 1179 | C2×C4 | — | 28 | 6 | no | — |
| 1180 | C2×C4 | — | 28 | 3 | no | — |
| 1181 | C2×C4 | — | 28 | 6 | no | — |
| 1182 | C2×C4 | — | 28 | 6 | no | — |
| 1183 | C2×C4 | C24×D7 | 1 | 3 | yes | — |
| 1184 | C2×C4 | C24×D7 | 1 | 3 | yes | — |
| 1185 | C2×C4 | C24×D7 | 1 | 6 | yes | — |
| 1186 | C2×C4 | C24×D7 | 1 | 6 | yes | — |
| 1187 | C2×C4 | C24×D7 | 1 | 6 | yes | — |
| 1188 | C7 | C2×#3567 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1189 | C22 | — | 2 | 6 | no | — |
| 1190 | C22 | — | 2 | 6 | no | — |
| 1191 | C22 | — | 2 | 3 | no | — |
| 1192 | C22 | — | 2 | 6 | no | — |
| 1193 | C22 | — | 7 | 6 | no | — |
| 1194 | C22 | — | 14 | 6 | no | — |
| 1195 | C22 | — | 14 | 6 | no | — |
| 1196 | C22 | — | 14 | 3 | no | — |
| 1197 | C22 | — | 14 | 6 | no | — |
| 1198 | C22 | — | 28 | 24 | no | — |
| 1199 | C22 | — | 28 | 4 | no | — |
| 1200 | C22 | C25×D7 | 1 | 1 | yes | characteristic |
| 1201 | C4 | — | 2 | 3 | no | — |
| 1202 | C4 | — | 2 | 6 | no | — |
| 1203 | C4 | — | 2 | 6 | no | — |
| 1204 | C4 | — | 2 | 6 | no | — |
| 1205 | C4 | — | 2 | 3 | no | — |
| 1206 | C4 | — | 14 | 3 | no | — |
| 1207 | C4 | — | 14 | 6 | no | — |
| 1208 | C4 | — | 14 | 6 | no | — |
| 1209 | C4 | — | 14 | 6 | no | — |
| 1210 | C4 | — | 14 | 3 | no | — |
| 1211 | C2 | — | 4 | 6 | no | — |
| 1212 | C2 | — | 4 | 1 | no | — |
| 1213 | C2 | — | 7 | 4 | no | — |
| 1214 | C2 | — | 28 | 6 | no | — |
| 1215 | C2 | — | 28 | 1 | no | — |
| 1216 | C2 | D7×#585 | 1 | 3 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C22 | C25×D7 |
| commutator, socle, cosocle | C22×C7 | C26 |
| Fitting | C7×#3567 | C2 |
| hypercenter | #3567 | D7 |
| hypocenter | C7 | C2×#3567 |
| LCS | G ▷ C22×C7 ▷ C7 | |
| UCS | C1 ◁ C22 ◁ #3567 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C7×#3567 | C2 | semidirect |
| 2. D7×#564 | C2 | semidirect |
| 3. #11744209 | C2 | semidirect |
| 4. D7×#562 | C2 | semidirect |
| 5. #11744174 | C2 | semidirect |
| 6. D7×#553 | C2 | semidirect |
| 7. #11743975 | C2 | semidirect |
| 8. D7×#552 | C2 | semidirect |
| 9. #11743925 | C2 | semidirect |
| 10. D7×#540 | C2 | semidirect |
| 11. #11743551 | C2 | semidirect |
| 12. D7×#539 | C2 | semidirect |
| 13. #11743519 | C2 | semidirect |
| 14. #11743254 | C2 | semidirect |
| 15. D7×#529 | C2 | semidirect |
| 16. C7×#564 | C22 | semidirect |
| 17. C7×#562 | C22 | semidirect |
| 18. C7×#553 | C22 | semidirect |
| 19. C7×#552 | C22 | semidirect |
| 20. C7×#540 | C22 | semidirect |
| 21. C7×#539 | C22 | semidirect |
| 22. C7×#529 | C22 | semidirect |
| 23. #90410 | C22 | semidirect |
| 25. #90400 | C22 | semidirect |
| 26. #90400 | C22 | semidirect |
| 27. #90399 | C22 | semidirect |
| 28. #90399 | C22 | semidirect |
| 29. #90398 | C22 | semidirect |
| 30. #90398 | C22 | semidirect |
| 31. #90397 | C22 | semidirect |
| 35. #90391 | C22 | semidirect |
| 36. #90389 | C22 | semidirect |
| 37. #90386 | C22 | semidirect |
| 38. #90385 | C22 | semidirect |
| 39. #90384 | C22 | semidirect |
| 40. #90384 | C22 | semidirect |
| 41. #90383 | C22 | semidirect |
| 42. #90383 | C22 | semidirect |
| 43. #90382 | C22 | semidirect |
| 48. C7⋊#564 | C22 | semidirect |
| 49. C7⋊#564 | C22 | semidirect |
| 50. C7⋊#564 | C22 | semidirect |
| 51. #90375 | C22 | semidirect |
| 52. #90375 | C22 | semidirect |
| 53. #90371 | C22 | semidirect |
| 55. #90358 | C22 | semidirect |
| 56. #90358 | C22 | semidirect |
| 57. #90356 | C22 | semidirect |
| 58. #90356 | C22 | semidirect |
| 59. #90354 | C22 | semidirect |
| 60. #90354 | C22 | semidirect |
| 61. #90354 | C22 | semidirect |
| 62. #90354 | C22 | semidirect |
| 63. #90352 | C22 | semidirect |
| 64. #90352 | C22 | semidirect |
| 65. #90351 | C22 | semidirect |
| 66. #90351 | C22 | semidirect |
| 72. #90341 | C22 | semidirect |
| 73. #90341 | C22 | semidirect |
| 74. #90340 | C22 | semidirect |
| 75. #90338 | C22 | semidirect |
| 76. #90338 | C22 | semidirect |
| 77. #90336 | C22 | semidirect |
| 78. #90333 | C22 | semidirect |
| 79. #90330 | C22 | semidirect |
| 80. #90329 | C22 | semidirect |
| 81. #90329 | C22 | semidirect |
| 85. #90315 | C22 | semidirect |
| 86. #90312 | C22 | semidirect |
| 87. #90312 | C22 | semidirect |
| 88. #90310 | C22 | semidirect |
| 89. #90310 | C22 | semidirect |
| 90. #90309 | C22 | semidirect |
| 91. #90306 | C22 | semidirect |
| 92. #90306 | C22 | semidirect |
| 93. #90306 | C22 | semidirect |
| 94. #90306 | C22 | semidirect |
| 95. #90305 | C22 | semidirect |
| 101. #90293 | C22 | semidirect |
| 102. #90292 | C22 | semidirect |
| 103. #90292 | C22 | semidirect |
| 104. #90291 | C22 | semidirect |
| 105. #90272 | C22 | semidirect |
| 106. #90271 | C22 | semidirect |
| 108. #90256 | C22 | semidirect |
| 109. #90255 | C22 | semidirect |
| 110. #90255 | C22 | semidirect |
| 111. #90253 | C22 | semidirect |
| 112. #90253 | C22 | semidirect |
| 113. #90249 | C22 | semidirect |
| 114. #90248 | C22 | semidirect |
| 119. #90232 | C22 | semidirect |
| 120. #90231 | C22 | semidirect |
| 121. #90231 | C22 | semidirect |
| 122. #90229 | C22 | semidirect |
| 123. #90226 | C22 | semidirect |
| 124. #90222 | C22 | semidirect |
| 125. #90222 | C22 | semidirect |
| 126. #90221 | C22 | semidirect |
| 127. #90220 | C22 | semidirect |
| 128. #90219 | C22 | semidirect |
| 131. #90206 | C22 | semidirect |
| 132. #90205 | C22 | semidirect |
| 133. #90204 | C22 | semidirect |
| 135. #90170 | C22 | semidirect |
| 400. #3567 | D7 | direct (N × H) |
| 541. #564 | C2×D7 | semidirect |
| 551. #562 | C2×D7 | semidirect |
| 567. #553 | C2×D7 | semidirect |
| 583. #552 | C2×D7 | semidirect |
| 599. #540 | C2×D7 | semidirect |
| 615. #539 | C2×D7 | semidirect |
| 628. #529 | C2×D7 | semidirect |
| 1129. D7 | #3567 | direct (N × H) |
| 1188. C7 | C2×#3567 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C7×#3567 | 2 |
| D7×#564 | 2 |
| #11744209 | 2 |
| D7×#562 | 2 |
| #11744174 | 2 |
| D7×#553 | 2 |
| #11743975 | 2 |
| D7×#552 | 2 |
| #11743925 | 2 |
| D7×#540 | 2 |
| #11743551 | 2 |
| D7×#539 | 2 |
| #11743519 | 2 |
| #11743254 | 2 |
| D7×#529 | 2 |
| C2×#3567 | 7 |