Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
2008 conjugacy classes of subgroups.
The subgroup lattice has 1326 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743343 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11743282 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C7×#3209 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11740803 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11740659 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11739249 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11739246 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11739051 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11739044 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11737928 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11737927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11737926 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11737925 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11737922 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11737921 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #11737920 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | D7×#462 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #11737648 | C2 | 1 | 2 | yes | maximal, complemented |
| 19 | #11737631 | C2 | 1 | 2 | yes | maximal, complemented |
| 20 | #11737630 | C2 | 1 | 2 | yes | maximal, complemented |
| 21 | #11737625 | C2 | 1 | 2 | yes | maximal, complemented |
| 22 | #11736753 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | #11736730 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 24 | C2×#6551 | C22 | 1 | 2 | yes | — |
| 25 | C7×#533 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×C7×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 27 | #90507 | C22 | 1 | 2 | yes | — |
| 28 | C2×#6482 | C22 | 1 | 2 | yes | — |
| 29 | C2×#6481 | C22 | 1 | 2 | yes | — |
| 30 | C2×#6481 | C22 | 1 | 2 | yes | — |
| 31 | C2×D7×Q16 | C22 | 1 | 2 | yes | — |
| 32 | #90424 | C22 | 1 | 1 | yes | characteristic |
| 33 | #90422 | C22 | 1 | 1 | yes | characteristic |
| 34 | #90420 | C22 | 1 | 1 | yes | characteristic |
| 35 | #90418 | — | 2 | 1 | no | — |
| 36 | #90418 | — | 2 | 1 | no | — |
| 37 | #90417 | — | 2 | 1 | no | — |
| 38 | #90417 | — | 2 | 1 | no | — |
| 39 | #90416 | C22 | 1 | 1 | yes | characteristic |
| 40 | #90416 | C22 | 1 | 1 | yes | characteristic |
| 41 | #90415 | C22 | 1 | 2 | yes | — |
| 42 | #90415 | C22 | 1 | 2 | yes | — |
| 43 | #90415 | C22 | 1 | 1 | yes | characteristic |
| 44 | D7×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 45 | D7×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 46 | #90387 | — | 2 | 1 | no | — |
| 47 | #90383 | — | 2 | 1 | no | — |
| 48 | #90334 | C22 | 1 | 1 | yes | characteristic |
| 49 | #90331 | — | 2 | 1 | no | — |
| 50 | #90329 | — | 2 | 1 | no | — |
| 51 | #90320 | C22 | 1 | 1 | yes | characteristic |
| 52 | #90319 | C22 | 1 | 1 | yes | characteristic |
| 53 | #90316 | C22 | 1 | 1 | yes | characteristic |
| 54 | #90271 | — | 2 | 1 | no | — |
| 55 | #90271 | C22 | 1 | 1 | yes | characteristic |
| 56 | #90269 | — | 2 | 1 | no | — |
| 57 | #90269 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4×#1161 | C22 | 1 | 1 | yes | characteristic |
| 59 | C4×Q8×D7 | C22 | 1 | 1 | yes | characteristic |
| 60 | #90219 | — | 2 | 1 | no | — |
| 61 | #90219 | — | 2 | 1 | no | — |
| 62 | #90198 | — | 2 | 1 | no | — |
| 63 | #90198 | — | 2 | 1 | no | — |
| 64 | #90198 | — | 2 | 1 | no | — |
| 65 | #90198 | — | 2 | 1 | no | — |
| 66 | #90170 | C22 | 1 | 1 | yes | characteristic |
| 67 | #90168 | C22 | 1 | 1 | yes | characteristic |
| 68 | C4×#1157 | C22 | 1 | 1 | yes | characteristic |
| 69 | C7×#494 | C22 | 1 | 2 | yes | — |
| 70 | C7×#487 | C22 | 1 | 2 | yes | — |
| 71 | C7×#462 | C22 | 1 | 1 | yes | characteristic |
| 72 | C7×#462 | C22 | 1 | 1 | yes | characteristic |
| 73 | C7×#462 | C22 | 1 | 1 | yes | characteristic |
| 74 | C7×#462 | C22 | 1 | 1 | yes | characteristic |
| 75 | C7×#451 | C22 | 1 | 2 | yes | — |
| 76 | C7×#451 | C22 | 1 | 2 | yes | — |
| 77 | C7×#431 | C22 | 1 | 1 | yes | characteristic |
| 78 | #90000 | C22 | 1 | 2 | yes | — |
| 79 | #89999 | C22 | 1 | 2 | yes | — |
| 80 | #89963 | C22 | 1 | 2 | yes | — |
| 81 | #89962 | C22 | 1 | 2 | yes | — |
| 82 | #89962 | C22 | 1 | 2 | yes | — |
| 83 | #89959 | C22 | 1 | 2 | yes | — |
| 84 | #89959 | C22 | 1 | 2 | yes | — |
| 85 | #89958 | C22 | 1 | 2 | yes | — |
| 86 | #89958 | C22 | 1 | 2 | yes | — |
| 87 | #89957 | C22 | 1 | 2 | yes | — |
| 88 | #89957 | C22 | 1 | 2 | yes | — |
| 89 | #89954 | C22 | 1 | 2 | yes | — |
| 90 | #89954 | C22 | 1 | 2 | yes | — |
| 91 | #89953 | C22 | 1 | 2 | yes | — |
| 92 | #89862 | C22 | 1 | 1 | yes | characteristic |
| 93 | #89862 | C22 | 1 | 1 | yes | characteristic |
| 94 | #89861 | C22 | 1 | 2 | yes | — |
| 95 | #89858 | C22 | 1 | 2 | yes | — |
| 96 | #89858 | C22 | 1 | 2 | yes | — |
| 97 | #89855 | C22 | 1 | 1 | yes | characteristic |
| 98 | #89855 | C22 | 1 | 1 | yes | characteristic |
| 99 | #89854 | C22 | 1 | 2 | yes | — |
| 100 | #89819 | C22 | 1 | 2 | yes | — |
| 101 | #89819 | C22 | 1 | 2 | yes | — |
| 102 | #89803 | C22 | 1 | 1 | yes | characteristic |
| 103 | #89803 | C22 | 1 | 1 | yes | characteristic |
| 104 | #89799 | C22 | 1 | 1 | yes | characteristic |
| 105 | #89799 | C22 | 1 | 1 | yes | characteristic |
| 106 | #89698 | C22 | 1 | 1 | yes | characteristic |
| 107 | #89621 | C22 | 1 | 1 | yes | characteristic |
| 108 | #89620 | C22 | 1 | 1 | yes | characteristic |
| 109 | #89615 | C22 | 1 | 1 | yes | characteristic |
| 110 | #89613 | C22 | 1 | 1 | yes | characteristic |
| 111 | #89609 | C22 | 1 | 1 | yes | characteristic |
| 112 | #89607 | C22 | 1 | 1 | yes | characteristic |
| 113 | #89605 | C22 | 1 | 1 | yes | characteristic |
| 114 | D7×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 115 | #89591 | C22 | 1 | 2 | yes | — |
| 116 | #89590 | C22 | 1 | 2 | yes | — |
| 117 | #89583 | C22 | 1 | 2 | yes | — |
| 118 | #89582 | C22 | 1 | 2 | yes | — |
| 119 | #89580 | C22 | 1 | 2 | yes | — |
| 120 | #89578 | C22 | 1 | 2 | yes | — |
| 121 | #89576 | C22 | 1 | 2 | yes | — |
| 122 | #89575 | C22 | 1 | 2 | yes | — |
| 123 | #89574 | C22 | 1 | 2 | yes | — |
| 124 | D7×#103 | C22 | 1 | 2 | yes | — |
| 125 | #89572 | C22 | 1 | 2 | yes | — |
| 126 | #89570 | C22 | 1 | 2 | yes | — |
| 127 | #89569 | C22 | 1 | 2 | yes | — |
| 128 | #89567 | C22 | 1 | 2 | yes | — |
| 129 | #89565 | C22 | 1 | 2 | yes | — |
| 130 | #89564 | C22 | 1 | 2 | yes | — |
| 131 | #89506 | C22 | 1 | 2 | yes | — |
| 132 | #89505 | C22 | 1 | 2 | yes | — |
| 133 | #89499 | C22 | 1 | 2 | yes | — |
| 134 | #89492 | C22 | 1 | 2 | yes | — |
| 135 | #89469 | C22 | 1 | 2 | yes | — |
| 136 | #89468 | C22 | 1 | 2 | yes | — |
| 137 | #89462 | C22 | 1 | 2 | yes | — |
| 138 | #89461 | C22 | 1 | 2 | yes | — |
| 139 | #60837 | — | 7 | 1 | no | maximal, Sylow |
| 140 | C22×C7×Q8 | C23 | 1 | 2 | yes | — |
| 141 | #6551 | — | 4 | 4 | no | — |
| 142 | #6551 | — | 4 | 4 | no | — |
| 143 | C2×#1161 | — | 2 | 2 | no | — |
| 144 | C2×#1161 | C23 | 1 | 2 | yes | — |
| 145 | C2×#1161 | C23 | 1 | 1 | yes | characteristic |
| 146 | C2×#1161 | C23 | 1 | 2 | yes | — |
| 147 | C2×Q8×D7 | — | 2 | 2 | no | — |
| 148 | C2×Q8×D7 | C23 | 1 | 2 | yes | — |
| 149 | C2×Q8×D7 | C23 | 1 | 1 | yes | characteristic |
| 150 | C2×Q8×D7 | C23 | 1 | 2 | yes | — |
| 151 | C2×#1157 | — | 2 | 2 | no | — |
| 152 | C2×#1157 | — | 2 | 2 | no | — |
| 153 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 154 | C2×#1157 | C23 | 1 | 2 | yes | — |
| 155 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 156 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 157 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 158 | C2×C7×Q16 | C23 | 1 | 2 | yes | — |
| 159 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 160 | C7×C4⋊Q8 | — | 2 | 1 | no | — |
| 161 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 162 | C7×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 163 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 164 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 165 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 166 | C7×#125 | — | 2 | 1 | no | — |
| 167 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 168 | C7×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 169 | C7×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 170 | C4×C7×Q8 | — | 2 | 1 | no | — |
| 171 | C4×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 172 | C4×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 173 | C7×#117 | — | 2 | 1 | no | — |
| 174 | C2×C7×C4⋊C4 | — | 2 | 1 | no | — |
| 175 | C2×C7×C4⋊C4 | — | 2 | 1 | no | — |
| 176 | C2×C42×C7 | C23 | 1 | 1 | yes | characteristic |
| 177 | #6510 | — | 2 | 1 | no | — |
| 178 | #6510 | C23 | 1 | 2 | yes | — |
| 179 | #6510 | C23 | 1 | 2 | yes | — |
| 180 | #6510 | C23 | 1 | 1 | yes | characteristic |
| 181 | #6509 | — | 2 | 1 | no | — |
| 182 | #6509 | — | 2 | 2 | no | — |
| 183 | #6509 | — | 2 | 2 | no | — |
| 184 | #6509 | — | 2 | 1 | no | — |
| 185 | #6509 | C23 | 1 | 1 | yes | characteristic |
| 186 | #6509 | C23 | 1 | 1 | yes | characteristic |
| 187 | Q8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 188 | Q8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 189 | #6507 | — | 2 | 1 | no | — |
| 190 | #6507 | C23 | 1 | 2 | yes | — |
| 191 | #6507 | C23 | 1 | 2 | yes | — |
| 192 | #6507 | C23 | 1 | 1 | yes | characteristic |
| 193 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 194 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 195 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 196 | C2×#1144 | C23 | 1 | 2 | yes | — |
| 197 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 198 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 199 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 200 | C2×#1143 | C23 | 1 | 2 | yes | — |
| 201 | #6493 | — | 2 | 1 | no | — |
| 202 | #6493 | — | 2 | 1 | no | — |
| 203 | #6493 | C23 | 1 | 1 | yes | characteristic |
| 204 | #6492 | — | 2 | 1 | no | — |
| 205 | #6492 | — | 2 | 2 | no | — |
| 206 | #6492 | — | 2 | 2 | no | — |
| 207 | C4×C22⋊D7 | — | 2 | 1 | no | — |
| 208 | C4×C22⋊D7 | D4 | 1 | 1 | yes | characteristic |
| 209 | C4×C22⋊D7 | D4 | 1 | 1 | yes | characteristic |
| 210 | C4×C22⋊D7 | D4 | 1 | 1 | yes | characteristic |
| 211 | C4×C22⋊D7 | D4 | 1 | 1 | yes | characteristic |
| 212 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 213 | #6487 | C23 | 1 | 1 | yes | characteristic |
| 214 | #6482 | — | 4 | 4 | no | — |
| 215 | #6481 | — | 4 | 4 | no | — |
| 216 | #6481 | — | 4 | 4 | no | — |
| 217 | D7×Q16 | — | 4 | 4 | no | — |
| 218 | C2×Dic28 | C23 | 1 | 2 | yes | — |
| 219 | C2×D56 | C23 | 1 | 2 | yes | — |
| 220 | C2×#1132 | C23 | 1 | 2 | yes | — |
| 221 | C2×#1132 | C23 | 1 | 2 | yes | — |
| 222 | C2×#1131 | C23 | 1 | 2 | yes | — |
| 223 | C2×C8×D7 | C23 | 1 | 2 | yes | — |
| 224 | #6461 | — | 2 | 1 | no | — |
| 225 | #6461 | — | 2 | 1 | no | — |
| 226 | #6461 | — | 2 | 1 | no | — |
| 227 | #6461 | — | 2 | 1 | no | — |
| 228 | #6461 | — | 2 | 1 | no | — |
| 229 | #6460 | — | 2 | 1 | no | — |
| 230 | #6460 | C23 | 1 | 1 | yes | characteristic |
| 231 | #6459 | — | 2 | 1 | no | — |
| 232 | #6459 | — | 2 | 1 | no | — |
| 233 | #6459 | — | 2 | 1 | no | — |
| 234 | #6459 | — | 2 | 1 | no | — |
| 235 | #6459 | — | 2 | 2 | no | — |
| 236 | #6459 | — | 2 | 2 | no | — |
| 237 | #6459 | — | 2 | 2 | no | — |
| 238 | #6459 | — | 2 | 2 | no | — |
| 239 | #6459 | — | 2 | 1 | no | — |
| 240 | #6458 | — | 2 | 1 | no | — |
| 241 | #6458 | — | 2 | 1 | no | — |
| 242 | #6458 | — | 2 | 1 | no | — |
| 243 | #6458 | — | 2 | 1 | no | — |
| 244 | #6458 | — | 2 | 1 | no | — |
| 245 | #6458 | C23 | 1 | 1 | yes | characteristic |
| 246 | #6457 | — | 2 | 1 | no | — |
| 247 | #6457 | — | 2 | 1 | no | — |
| 248 | #6457 | — | 2 | 1 | no | — |
| 249 | #6457 | — | 2 | 1 | no | — |
| 250 | #6457 | — | 2 | 2 | no | — |
| 251 | #6457 | — | 2 | 2 | no | — |
| 252 | #6457 | — | 2 | 2 | no | — |
| 253 | #6457 | — | 2 | 2 | no | — |
| 254 | #6457 | — | 2 | 1 | no | — |
| 255 | #6456 | — | 2 | 1 | no | — |
| 256 | #6456 | — | 2 | 1 | no | — |
| 257 | #6456 | — | 2 | 1 | no | — |
| 258 | #6456 | — | 2 | 1 | no | — |
| 259 | #6456 | — | 2 | 1 | no | — |
| 260 | #6456 | C23 | 1 | 1 | yes | characteristic |
| 261 | #6455 | — | 2 | 1 | no | — |
| 262 | #6455 | C23 | 1 | 1 | yes | characteristic |
| 263 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 264 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 265 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 266 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 267 | D7×C4⋊C4 | — | 2 | 1 | no | — |
| 268 | D7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 269 | #6453 | — | 2 | 1 | no | — |
| 270 | #6453 | C23 | 1 | 1 | yes | characteristic |
| 271 | #6452 | — | 2 | 1 | no | — |
| 272 | #6452 | — | 2 | 1 | no | — |
| 273 | #6452 | — | 2 | 1 | no | — |
| 274 | #6452 | — | 2 | 1 | no | — |
| 275 | #6452 | — | 2 | 1 | no | — |
| 276 | #6451 | — | 2 | 1 | no | — |
| 277 | #6451 | — | 2 | 1 | no | — |
| 278 | #6451 | — | 2 | 1 | no | — |
| 279 | #6451 | — | 2 | 1 | no | — |
| 280 | #6451 | — | 2 | 1 | no | — |
| 281 | #6451 | C23 | 1 | 1 | yes | characteristic |
| 282 | #6450 | — | 2 | 1 | no | — |
| 283 | #6450 | C23 | 1 | 1 | yes | characteristic |
| 284 | #6448 | — | 2 | 1 | no | — |
| 285 | #6448 | — | 2 | 1 | no | — |
| 286 | #6447 | — | 2 | 1 | no | — |
| 287 | #6447 | — | 2 | 1 | no | — |
| 288 | #6446 | — | 2 | 1 | no | — |
| 289 | #6446 | — | 2 | 1 | no | — |
| 290 | #6442 | — | 2 | 1 | no | — |
| 291 | #6442 | — | 2 | 1 | no | — |
| 292 | #6439 | — | 2 | 1 | no | — |
| 293 | #6438 | C23 | 1 | 1 | yes | characteristic |
| 294 | #6438 | C23 | 1 | 2 | yes | — |
| 295 | #6437 | C23 | 1 | 1 | yes | characteristic |
| 296 | C4×D28 | — | 2 | 1 | no | — |
| 297 | C4×D28 | — | 2 | 1 | no | — |
| 298 | C4×D28 | — | 2 | 1 | no | — |
| 299 | C4×D28 | — | 2 | 1 | no | — |
| 300 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 301 | C4×D28 | D4 | 1 | 1 | yes | characteristic |
| 302 | C4×D28 | C23 | 1 | 1 | yes | characteristic |
| 303 | #6435 | — | 2 | 1 | no | — |
| 304 | #6435 | — | 2 | 1 | no | — |
| 305 | #6435 | — | 2 | 1 | no | — |
| 306 | #6435 | C23 | 1 | 1 | yes | characteristic |
| 307 | #6435 | C23 | 1 | 1 | yes | characteristic |
| 308 | C42×D7 | — | 2 | 1 | no | — |
| 309 | C42×D7 | — | 2 | 1 | no | — |
| 310 | C42×D7 | C23 | 1 | 1 | yes | characteristic |
| 311 | C42×D7 | C23 | 1 | 1 | yes | characteristic |
| 312 | #6433 | C23 | 1 | 1 | yes | characteristic |
| 313 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 314 | C4×Dic14 | — | 2 | 1 | no | — |
| 315 | C4×Dic14 | — | 2 | 1 | no | — |
| 316 | C4×Dic14 | D4 | 1 | 1 | yes | characteristic |
| 317 | C4×Dic14 | D4 | 1 | 1 | yes | characteristic |
| 318 | C4×Dic14 | C23 | 1 | 1 | yes | characteristic |
| 319 | C7×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 320 | C7×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 321 | C7×#103 | C23 | 1 | 2 | yes | — |
| 322 | C7×#103 | C23 | 1 | 2 | yes | — |
| 323 | C7×#103 | C23 | 1 | 2 | yes | — |
| 324 | C7×#103 | C23 | 1 | 2 | yes | — |
| 325 | C7×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 326 | C4×C7×C8 | C23 | 1 | 2 | yes | — |
| 327 | #6409 | C23 | 1 | 2 | yes | — |
| 328 | #6409 | C23 | 1 | 2 | yes | — |
| 329 | #6409 | C23 | 1 | 2 | yes | — |
| 330 | #6409 | C23 | 1 | 2 | yes | — |
| 331 | C22⋊(C7⋊C8) | C23 | 1 | 2 | yes | — |
| 332 | #6395 | C23 | 1 | 2 | yes | — |
| 333 | #6395 | C23 | 1 | 2 | yes | — |
| 334 | (C2×D7)⋊C8 | C23 | 1 | 2 | yes | — |
| 335 | (C2×D7)⋊C8 | C23 | 1 | 2 | yes | — |
| 336 | #6390 | C23 | 1 | 2 | yes | — |
| 337 | #6390 | C23 | 1 | 2 | yes | — |
| 338 | #6389 | C23 | 1 | 2 | yes | — |
| 339 | Dic7⋊C8 | C23 | 1 | 2 | yes | — |
| 340 | Dic7⋊C8 | C23 | 1 | 2 | yes | — |
| 341 | C8×Dic7 | C23 | 1 | 2 | yes | — |
| 342 | #6384 | C23 | 1 | 2 | yes | — |
| 343 | #6384 | C23 | 1 | 2 | yes | — |
| 344 | #6383 | C23 | 1 | 2 | yes | — |
| 345 | #6383 | C23 | 1 | 2 | yes | — |
| 346 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 347 | C4⋊(C7⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 348 | #6377 | C23 | 1 | 2 | yes | — |
| 349 | #3499 | — | 7 | 1 | no | — |
| 350 | #3461 | — | 7 | 1 | no | — |
| 351 | #3225 | — | 7 | 2 | no | — |
| 352 | #3225 | — | 7 | 2 | no | — |
| 353 | #3223 | — | 7 | 2 | no | — |
| 354 | #3223 | — | 7 | 2 | no | — |
| 355 | #3218 | — | 7 | 1 | no | — |
| 356 | #3218 | — | 7 | 1 | no | — |
| 357 | #3216 | — | 7 | 1 | no | — |
| 358 | #3216 | — | 7 | 1 | no | — |
| 359 | #3212 | — | 7 | 1 | no | — |
| 360 | #3212 | — | 7 | 1 | no | — |
| 361 | #3209 | — | 7 | 1 | no | — |
| 362 | #3209 | D7 | 1 | 1 | yes | characteristic, complemented |
| 363 | #3156 | — | 7 | 2 | no | — |
| 364 | #3137 | — | 7 | 2 | no | — |
| 365 | #3039 | — | 7 | 1 | no | — |
| 366 | #3037 | — | 7 | 1 | no | — |
| 367 | #3035 | — | 7 | 1 | no | — |
| 368 | C2×#462 | — | 7 | 1 | no | — |
| 369 | #3013 | — | 7 | 2 | no | — |
| 370 | #3011 | — | 7 | 2 | no | — |
| 371 | #2925 | — | 7 | 1 | no | — |
| 372 | C2×C7×Q8 | — | 2 | 2 | no | — |
| 373 | C2×C7×Q8 | — | 2 | 1 | no | — |
| 374 | C2×C7×Q8 | — | 4 | 2 | no | — |
| 375 | C2×C7×Q8 | — | 4 | 2 | no | — |
| 376 | C2×C7×Q8 | C24 | 1 | 2 | yes | — |
| 377 | C2×C7×Q8 | C24 | 1 | 2 | yes | — |
| 378 | C2×C7×Q8 | C24 | 1 | 1 | yes | characteristic |
| 379 | C2×C7×Q8 | C24 | 1 | 1 | yes | characteristic |
| 380 | C22×C4×C7 | — | 2 | 2 | no | — |
| 381 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 382 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 383 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 384 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 385 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 386 | C2×C22⋊D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 387 | C2×C22⋊D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 388 | #1161 | — | 2 | 2 | no | — |
| 389 | #1161 | — | 2 | 4 | no | — |
| 390 | #1161 | — | 2 | 2 | no | — |
| 391 | #1161 | — | 2 | 4 | no | — |
| 392 | #1161 | — | 4 | 2 | no | — |
| 393 | #1161 | — | 4 | 2 | no | — |
| 394 | #1161 | — | 4 | 8 | no | — |
| 395 | Q8×D7 | — | 2 | 2 | no | — |
| 396 | Q8×D7 | — | 2 | 4 | no | — |
| 397 | Q8×D7 | — | 2 | 2 | no | — |
| 398 | Q8×D7 | — | 2 | 4 | no | — |
| 399 | Q8×D7 | — | 4 | 2 | no | — |
| 400 | Q8×D7 | — | 4 | 2 | no | — |
| 401 | Q8×D7 | — | 4 | 8 | no | — |
| 402 | #1157 | — | 2 | 2 | no | — |
| 403 | #1157 | — | 2 | 2 | no | — |
| 404 | #1157 | — | 4 | 2 | no | — |
| 405 | #1157 | — | 4 | 2 | no | — |
| 406 | #1157 | — | 4 | 8 | no | — |
| 407 | #1157 | — | 4 | 8 | no | — |
| 408 | C2×D28 | — | 2 | 1 | no | — |
| 409 | C2×D28 | — | 2 | 2 | no | — |
| 410 | C2×D28 | — | 2 | 2 | no | — |
| 411 | C2×D28 | — | 2 | 1 | no | — |
| 412 | C2×D28 | — | 2 | 1 | no | — |
| 413 | C2×D28 | — | 2 | 1 | no | — |
| 414 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 415 | C2×D28 | C24 | 1 | 1 | yes | characteristic |
| 416 | C2×D28 | C24 | 1 | 2 | yes | — |
| 417 | C2×C4×D7 | — | 2 | 1 | no | — |
| 418 | C2×C4×D7 | — | 2 | 2 | no | — |
| 419 | C2×C4×D7 | — | 2 | 2 | no | — |
| 420 | C2×C4×D7 | — | 2 | 1 | no | — |
| 421 | C2×C4×D7 | — | 2 | 2 | no | — |
| 422 | C2×C4×D7 | — | 2 | 1 | no | — |
| 423 | C2×C4×D7 | — | 2 | 2 | no | — |
| 424 | C2×C4×D7 | — | 2 | 2 | no | — |
| 425 | C2×C4×D7 | — | 2 | 1 | no | — |
| 426 | C2×C4×D7 | — | 2 | 1 | no | — |
| 427 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 428 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 429 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 430 | C2×C4×D7 | C2×D4 | 1 | 1 | yes | characteristic |
| 431 | C2×C4×D7 | C24 | 1 | 1 | yes | characteristic |
| 432 | C2×C4×D7 | C24 | 1 | 1 | yes | characteristic |
| 433 | C2×Dic14 | — | 2 | 1 | no | — |
| 434 | C2×Dic14 | — | 2 | 2 | no | — |
| 435 | C2×Dic14 | — | 2 | 2 | no | — |
| 436 | C2×Dic14 | — | 2 | 1 | no | — |
| 437 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 438 | C2×Dic14 | C24 | 1 | 1 | yes | characteristic |
| 439 | C2×Dic14 | C24 | 1 | 2 | yes | — |
| 440 | C7×Q16 | — | 4 | 2 | no | — |
| 441 | C7×Q16 | — | 4 | 2 | no | — |
| 442 | C7×Q16 | — | 4 | 2 | no | — |
| 443 | C7×Q16 | — | 4 | 2 | no | — |
| 444 | C2×C7×C8 | C24 | 1 | 2 | yes | — |
| 445 | C2×C7×C8 | C24 | 1 | 2 | yes | — |
| 446 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 447 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 448 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 449 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 450 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 451 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 452 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 453 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 454 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 455 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 456 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 457 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 458 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 459 | C7×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 460 | C7×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 461 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 462 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 463 | C42×C7 | — | 2 | 1 | no | — |
| 464 | C42×C7 | — | 2 | 1 | no | — |
| 465 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 466 | C42×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 467 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 468 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 469 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 470 | C22⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 471 | C22⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 472 | #1144 | — | 4 | 2 | no | — |
| 473 | #1144 | — | 4 | 2 | no | — |
| 474 | #1144 | — | 4 | 2 | no | — |
| 475 | #1144 | — | 4 | 2 | no | — |
| 476 | #1143 | — | 4 | 2 | no | — |
| 477 | #1143 | — | 4 | 2 | no | — |
| 478 | #1143 | — | 4 | 2 | no | — |
| 479 | #1143 | — | 4 | 2 | no | — |
| 480 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 481 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 482 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 483 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 484 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 485 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 486 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 487 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 488 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 489 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 490 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 491 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 492 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 493 | (C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 494 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 495 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 496 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 497 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 498 | (C2×D7)⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 499 | (C2×D7)⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 500 | (C2×D7)⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 501 | (C2×D7)⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 502 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 503 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 504 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 505 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 506 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 507 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 508 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 509 | C4⋊Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 510 | C4⋊Dic7 | C24 | 1 | 1 | yes | characteristic |
| 511 | C4⋊Dic7 | C24 | 1 | 1 | yes | characteristic |
| 512 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 513 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 514 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 515 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 516 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 517 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 518 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 519 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 520 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 521 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 522 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 523 | Dic7⋊C4 | — | 2 | 1 | no | — |
| 524 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 525 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 526 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 527 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 528 | Dic7⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 529 | Dic7⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 530 | Dic7⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 531 | Dic7⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 532 | C4×Dic7 | — | 2 | 1 | no | — |
| 533 | C4×Dic7 | — | 2 | 1 | no | — |
| 534 | C4×Dic7 | — | 2 | 1 | no | — |
| 535 | C4×Dic7 | — | 2 | 1 | no | — |
| 536 | C4×Dic7 | — | 2 | 1 | no | — |
| 537 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 538 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 539 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 540 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 541 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 542 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 543 | C2×C7⋊C8 | C24 | 1 | 2 | yes | — |
| 544 | C2×C7⋊C8 | C24 | 1 | 2 | yes | — |
| 545 | Dic28 | — | 4 | 2 | no | — |
| 546 | D56 | — | 4 | 2 | no | — |
| 547 | #1132 | — | 4 | 2 | no | — |
| 548 | #1132 | — | 4 | 2 | no | — |
| 549 | #1131 | — | 2 | 4 | no | — |
| 550 | C8×D7 | — | 2 | 4 | no | — |
| 551 | C2×2−1+4 | — | 7 | 2 | no | — |
| 552 | C2×#137 | — | 7 | 2 | no | — |
| 553 | C2×#137 | — | 7 | 2 | no | — |
| 554 | C2×#135 | — | 7 | 2 | no | — |
| 555 | C22×Q16 | — | 7 | 2 | no | — |
| 556 | D4×Q8 | — | 14 | 1 | no | — |
| 557 | D4×Q8 | — | 14 | 1 | no | — |
| 558 | #547 | — | 14 | 1 | no | — |
| 559 | #547 | — | 14 | 1 | no | — |
| 560 | #547 | — | 14 | 1 | no | — |
| 561 | #547 | — | 14 | 1 | no | — |
| 562 | #547 | — | 14 | 1 | no | — |
| 563 | #547 | — | 14 | 1 | no | — |
| 564 | #544 | — | 7 | 1 | no | — |
| 565 | #542 | — | 7 | 1 | no | — |
| 566 | #542 | — | 7 | 1 | no | — |
| 567 | #542 | — | 14 | 1 | no | — |
| 568 | #541 | — | 7 | 1 | no | — |
| 569 | #541 | — | 7 | 1 | no | — |
| 570 | #541 | — | 14 | 1 | no | — |
| 571 | #539 | — | 14 | 1 | no | — |
| 572 | #539 | — | 14 | 1 | no | — |
| 573 | #537 | — | 7 | 1 | no | — |
| 574 | #536 | — | 7 | 1 | no | — |
| 575 | #536 | — | 7 | 2 | no | — |
| 576 | #536 | — | 7 | 2 | no | — |
| 577 | #536 | — | 7 | 1 | no | — |
| 578 | #536 | — | 7 | 2 | no | — |
| 579 | #533 | — | 7 | 1 | no | — |
| 580 | #533 | — | 14 | 1 | no | — |
| 581 | #533 | C2×D7 | 1 | 1 | yes | characteristic |
| 582 | #532 | — | 7 | 1 | no | — |
| 583 | #532 | — | 7 | 1 | no | — |
| 584 | #532 | — | 7 | 1 | no | — |
| 585 | C2×C4⋊Q8 | — | 7 | 1 | no | — |
| 586 | C2×C4⋊Q8 | — | 7 | 1 | no | — |
| 587 | C2×C4⋊Q8 | C2×D7 | 1 | 1 | yes | characteristic |
| 588 | #529 | — | 7 | 1 | no | — |
| 589 | #529 | — | 7 | 1 | no | — |
| 590 | #529 | — | 14 | 1 | no | — |
| 591 | #529 | — | 14 | 1 | no | — |
| 592 | #529 | — | 14 | 1 | no | — |
| 593 | C4×#41 | — | 7 | 1 | no | — |
| 594 | C4×#41 | — | 7 | 1 | no | — |
| 595 | C2×C4×Q8 | — | 7 | 1 | no | — |
| 596 | #497 | — | 7 | 2 | no | — |
| 597 | #497 | — | 7 | 2 | no | — |
| 598 | #497 | — | 7 | 2 | no | — |
| 599 | #497 | — | 7 | 2 | no | — |
| 600 | #495 | — | 7 | 2 | no | — |
| 601 | #495 | — | 7 | 2 | no | — |
| 602 | #494 | — | 7 | 2 | no | — |
| 603 | #494 | C2×D7 | 1 | 2 | yes | — |
| 604 | #491 | — | 7 | 2 | no | — |
| 605 | #491 | — | 7 | 2 | no | — |
| 606 | #489 | — | 7 | 2 | no | — |
| 607 | #489 | — | 7 | 2 | no | — |
| 608 | #488 | — | 7 | 2 | no | — |
| 609 | #488 | — | 7 | 2 | no | — |
| 610 | #487 | — | 7 | 2 | no | — |
| 611 | #487 | C2×D7 | 1 | 2 | yes | — |
| 612 | #464 | — | 7 | 2 | no | — |
| 613 | #464 | — | 7 | 2 | no | — |
| 614 | #464 | — | 7 | 2 | no | — |
| 615 | #463 | — | 7 | 2 | no | — |
| 616 | #462 | — | 7 | 2 | no | — |
| 617 | #462 | — | 7 | 2 | no | — |
| 618 | #462 | — | 7 | 1 | no | — |
| 619 | #462 | — | 7 | 1 | no | — |
| 620 | #462 | — | 7 | 1 | no | — |
| 621 | #462 | — | 7 | 1 | no | — |
| 622 | #462 | — | 7 | 1 | no | — |
| 623 | #462 | — | 7 | 2 | no | — |
| 624 | #462 | C2×D7 | 1 | 1 | yes | characteristic |
| 625 | #462 | C2×D7 | 1 | 1 | yes | characteristic |
| 626 | #462 | C2×D7 | 1 | 1 | yes | characteristic |
| 627 | #462 | C2×D7 | 1 | 1 | yes | characteristic |
| 628 | #461 | — | 7 | 1 | no | — |
| 629 | #461 | — | 7 | 1 | no | — |
| 630 | #461 | — | 7 | 1 | no | — |
| 631 | #461 | — | 7 | 2 | no | — |
| 632 | #460 | — | 7 | 1 | no | — |
| 633 | #460 | — | 7 | 1 | no | — |
| 634 | #460 | — | 7 | 1 | no | — |
| 635 | #459 | — | 7 | 1 | no | — |
| 636 | #452 | — | 7 | 2 | no | — |
| 637 | #452 | — | 7 | 2 | no | — |
| 638 | #452 | — | 7 | 2 | no | — |
| 639 | #452 | — | 7 | 2 | no | — |
| 640 | #452 | — | 7 | 2 | no | — |
| 641 | #452 | — | 7 | 2 | no | — |
| 642 | #451 | — | 7 | 2 | no | — |
| 643 | #451 | — | 7 | 2 | no | — |
| 644 | #451 | — | 7 | 2 | no | — |
| 645 | #451 | — | 7 | 2 | no | — |
| 646 | #451 | C2×D7 | 1 | 2 | yes | — |
| 647 | #451 | C2×D7 | 1 | 2 | yes | — |
| 648 | #449 | — | 7 | 2 | no | — |
| 649 | #449 | — | 7 | 2 | no | — |
| 650 | #448 | — | 7 | 2 | no | — |
| 651 | #448 | — | 7 | 2 | no | — |
| 652 | #433 | — | 7 | 2 | no | — |
| 653 | #433 | — | 7 | 2 | no | — |
| 654 | #432 | — | 7 | 1 | no | — |
| 655 | #432 | — | 7 | 1 | no | — |
| 656 | #431 | — | 7 | 1 | no | — |
| 657 | #431 | C2×D7 | 1 | 1 | yes | characteristic |
| 658 | #423 | — | 7 | 1 | no | — |
| 659 | C2×C4⋊C8 | — | 7 | 1 | no | — |
| 660 | #419 | — | 7 | 2 | no | — |
| 661 | #417 | — | 7 | 2 | no | — |
| 662 | #416 | — | 7 | 2 | no | — |
| 663 | C2×#103 | — | 7 | 2 | no | — |
| 664 | #408 | — | 7 | 2 | no | — |
| 665 | #405 | — | 7 | 2 | no | — |
| 666 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 667 | C22×D7 | — | 2 | 1 | no | — |
| 668 | C22×D7 | — | 2 | 2 | no | — |
| 669 | C22×D7 | C22×D4 | 1 | 1 | yes | characteristic |
| 670 | C22×D7 | C22×D4 | 1 | 1 | yes | characteristic |
| 671 | C7×Q8 | — | 2 | 1 | no | — |
| 672 | C7×Q8 | — | 2 | 1 | no | — |
| 673 | C7×Q8 | — | 2 | 2 | no | — |
| 674 | C7×Q8 | — | 2 | 2 | no | — |
| 675 | C7×Q8 | — | 2 | 1 | no | — |
| 676 | C7×Q8 | — | 2 | 1 | no | — |
| 677 | C7×Q8 | — | 2 | 2 | no | — |
| 678 | C7×Q8 | — | 2 | 2 | no | — |
| 679 | C7×Q8 | — | 4 | 4 | no | — |
| 680 | C7×Q8 | — | 8 | 1 | no | — |
| 681 | C2×C4×C7 | — | 2 | 2 | no | — |
| 682 | C2×C4×C7 | — | 2 | 1 | no | — |
| 683 | C2×C4×C7 | — | 2 | 1 | no | — |
| 684 | C2×C4×C7 | — | 2 | 1 | no | — |
| 685 | C2×C4×C7 | — | 2 | 1 | no | — |
| 686 | C2×C4×C7 | — | 2 | 1 | no | — |
| 687 | C2×C4×C7 | — | 2 | 1 | no | — |
| 688 | C2×C4×C7 | — | 2 | 2 | no | — |
| 689 | C2×C4×C7 | — | 2 | 2 | no | — |
| 690 | C2×C4×C7 | — | 4 | 1 | no | — |
| 691 | C2×C4×C7 | — | 4 | 4 | no | — |
| 692 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 693 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 694 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 695 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 696 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 697 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 698 | C22⋊D7 | — | 2 | 2 | no | — |
| 699 | C22⋊D7 | — | 2 | 2 | no | — |
| 700 | C22⋊D7 | — | 4 | 4 | no | — |
| 701 | C22⋊D7 | — | 8 | 1 | no | — |
| 702 | C2×Dic7 | — | 2 | 1 | no | — |
| 703 | C2×Dic7 | — | 2 | 1 | no | — |
| 704 | C2×Dic7 | — | 2 | 1 | no | — |
| 705 | C2×Dic7 | — | 2 | 2 | no | — |
| 706 | C2×Dic7 | C22×D4 | 1 | 1 | yes | characteristic |
| 707 | C2×Dic7 | C22×D4 | 1 | 1 | yes | characteristic |
| 708 | C2×Dic7 | C22×D4 | 1 | 1 | yes | characteristic |
| 709 | C2×Dic7 | C22×D4 | 1 | 1 | yes | characteristic |
| 710 | C2×Dic7 | C22×D4 | 1 | 1 | yes | characteristic |
| 711 | C2×Dic7 | C22×D4 | 1 | 1 | yes | characteristic |
| 712 | D28 | — | 2 | 2 | no | — |
| 713 | D28 | — | 2 | 1 | no | — |
| 714 | D28 | — | 2 | 2 | no | — |
| 715 | D28 | — | 2 | 1 | no | — |
| 716 | D28 | — | 2 | 2 | no | — |
| 717 | D28 | — | 4 | 2 | no | — |
| 718 | D28 | — | 4 | 4 | no | — |
| 719 | D28 | — | 4 | 4 | no | — |
| 720 | D28 | — | 4 | 2 | no | — |
| 721 | D28 | — | 4 | 2 | no | — |
| 722 | D28 | — | 8 | 1 | no | — |
| 723 | C4×D7 | — | 2 | 2 | no | — |
| 724 | C4×D7 | — | 2 | 2 | no | — |
| 725 | C4×D7 | — | 2 | 1 | no | — |
| 726 | C4×D7 | — | 2 | 1 | no | — |
| 727 | C4×D7 | — | 4 | 1 | no | — |
| 728 | C4×D7 | — | 4 | 1 | no | — |
| 729 | C4×D7 | — | 4 | 4 | no | — |
| 730 | C4×D7 | — | 4 | 4 | no | — |
| 731 | C4×D7 | — | 4 | 4 | no | — |
| 732 | C4×D7 | — | 4 | 4 | no | — |
| 733 | C4×D7 | — | 4 | 2 | no | — |
| 734 | C4×D7 | — | 4 | 2 | no | — |
| 735 | C4×D7 | — | 4 | 4 | no | — |
| 736 | C4×D7 | — | 4 | 2 | no | — |
| 737 | C4×D7 | — | 8 | 1 | no | — |
| 738 | C4×D7 | — | 8 | 1 | no | — |
| 739 | C4×D7 | H(5,𝔽2) | 1 | 2 | yes | — |
| 740 | C4×D7 | H(5,𝔽2) | 1 | 2 | yes | — |
| 741 | Dic14 | — | 2 | 2 | no | — |
| 742 | Dic14 | — | 2 | 1 | no | — |
| 743 | Dic14 | — | 2 | 2 | no | — |
| 744 | Dic14 | — | 2 | 1 | no | — |
| 745 | Dic14 | — | 2 | 2 | no | — |
| 746 | Dic14 | — | 4 | 4 | no | — |
| 747 | Dic14 | — | 4 | 4 | no | — |
| 748 | Dic14 | — | 4 | 2 | no | — |
| 749 | Dic14 | — | 8 | 1 | no | — |
| 750 | C7×C8 | — | 2 | 2 | no | — |
| 751 | C7×C8 | — | 2 | 2 | no | — |
| 752 | C7⋊C8 | — | 2 | 2 | no | — |
| 753 | C7⋊C8 | — | 2 | 2 | no | — |
| 754 | 2−1+4 | — | 28 | 4 | no | — |
| 755 | 2−1+4 | — | 28 | 4 | no | — |
| 756 | C2×#41 | — | 7 | 1 | no | — |
| 757 | C2×#41 | — | 7 | 1 | no | — |
| 758 | C2×#41 | — | 7 | 2 | no | — |
| 759 | C2×#41 | — | 7 | 2 | no | — |
| 760 | C2×#41 | — | 7 | 2 | no | — |
| 761 | C2×#41 | — | 14 | 2 | no | — |
| 762 | C2×#41 | — | 14 | 2 | no | — |
| 763 | C2×#41 | — | 14 | 2 | no | — |
| 764 | C22×Q8 | — | 7 | 1 | no | — |
| 765 | C22×Q8 | — | 7 | 2 | no | — |
| 766 | C22×Q8 | — | 7 | 2 | no | — |
| 767 | C22×Q8 | — | 14 | 2 | no | — |
| 768 | C22×Q8 | C22×D7 | 1 | 2 | yes | — |
| 769 | #137 | — | 28 | 4 | no | — |
| 770 | #137 | — | 28 | 4 | no | — |
| 771 | #135 | — | 28 | 4 | no | — |
| 772 | C2×Q16 | — | 7 | 2 | no | — |
| 773 | C2×Q16 | — | 7 | 2 | no | — |
| 774 | C2×Q16 | — | 7 | 2 | no | — |
| 775 | C2×Q16 | — | 7 | 2 | no | — |
| 776 | C2×Q16 | — | 7 | 2 | no | — |
| 777 | C2×Q16 | — | 28 | 4 | no | — |
| 778 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 779 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 780 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 781 | C2×Q16 | C22×D7 | 1 | 2 | yes | — |
| 782 | C2×SD16 | — | 7 | 2 | no | — |
| 783 | C2×SD16 | — | 7 | 2 | no | — |
| 784 | C2×SD16 | — | 7 | 2 | no | — |
| 785 | C2×SD16 | — | 7 | 2 | no | — |
| 786 | C2×SD16 | — | 7 | 2 | no | — |
| 787 | C2×SD16 | — | 7 | 2 | no | — |
| 788 | C2×D8 | — | 7 | 2 | no | — |
| 789 | C2×M16 | — | 7 | 2 | no | — |
| 790 | C22×C8 | — | 7 | 2 | no | — |
| 791 | C4⋊Q8 | — | 2 | 1 | no | — |
| 792 | C4⋊Q8 | — | 2 | 1 | no | — |
| 793 | C4⋊Q8 | — | 7 | 1 | no | — |
| 794 | C4⋊Q8 | — | 7 | 2 | no | — |
| 795 | C4⋊Q8 | — | 7 | 2 | no | — |
| 796 | C4⋊Q8 | — | 7 | 1 | no | — |
| 797 | C4⋊Q8 | — | 7 | 1 | no | — |
| 798 | C4⋊Q8 | — | 14 | 1 | no | — |
| 799 | C4⋊Q8 | — | 14 | 1 | no | — |
| 800 | C4⋊Q8 | — | 14 | 1 | no | — |
| 801 | C4⋊Q8 | — | 14 | 1 | no | — |
| 802 | C4⋊Q8 | — | 14 | 1 | no | — |
| 803 | C4⋊Q8 | — | 14 | 1 | no | — |
| 804 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 805 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 806 | C4⋊Q8 | C22×D7 | 1 | 2 | yes | — |
| 807 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 808 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 809 | #127 | — | 7 | 1 | no | — |
| 810 | #126 | — | 14 | 1 | no | — |
| 811 | #126 | — | 14 | 1 | no | — |
| 812 | #126 | — | 14 | 1 | no | — |
| 813 | #126 | — | 14 | 1 | no | — |
| 814 | #126 | — | 14 | 1 | no | — |
| 815 | #126 | — | 14 | 1 | no | — |
| 816 | #126 | — | 14 | 1 | no | — |
| 817 | #126 | — | 14 | 1 | no | — |
| 818 | #125 | — | 2 | 1 | no | — |
| 819 | #125 | — | 7 | 1 | no | — |
| 820 | #125 | — | 7 | 1 | no | — |
| 821 | #125 | — | 14 | 1 | no | — |
| 822 | #125 | — | 14 | 1 | no | — |
| 823 | #125 | — | 14 | 1 | no | — |
| 824 | #125 | — | 14 | 1 | no | — |
| 825 | #125 | — | 14 | 1 | no | — |
| 826 | #125 | — | 14 | 1 | no | — |
| 827 | #124 | — | 7 | 1 | no | — |
| 828 | #124 | — | 7 | 2 | no | — |
| 829 | #124 | — | 7 | 2 | no | — |
| 830 | #124 | — | 7 | 1 | no | — |
| 831 | #124 | — | 7 | 2 | no | — |
| 832 | #124 | — | 14 | 1 | no | — |
| 833 | #124 | — | 14 | 1 | no | — |
| 834 | #124 | — | 14 | 1 | no | — |
| 835 | #123 | — | 14 | 1 | no | — |
| 836 | #123 | — | 14 | 1 | no | — |
| 837 | #123 | — | 14 | 1 | no | — |
| 838 | #123 | — | 14 | 1 | no | — |
| 839 | #123 | — | 14 | 1 | no | — |
| 840 | #123 | — | 14 | 2 | no | — |
| 841 | #123 | — | 14 | 2 | no | — |
| 842 | #123 | — | 14 | 2 | no | — |
| 843 | #123 | — | 14 | 2 | no | — |
| 844 | #123 | — | 14 | 2 | no | — |
| 845 | #123 | — | 14 | 2 | no | — |
| 846 | #123 | — | 14 | 1 | no | — |
| 847 | #123 | — | 14 | 1 | no | — |
| 848 | #123 | — | 14 | 1 | no | — |
| 849 | C22⋊Q8 | — | 2 | 1 | no | — |
| 850 | C22⋊Q8 | — | 7 | 1 | no | — |
| 851 | C22⋊Q8 | — | 7 | 1 | no | — |
| 852 | C22⋊Q8 | — | 7 | 1 | no | — |
| 853 | C22⋊Q8 | — | 7 | 1 | no | — |
| 854 | C22⋊Q8 | — | 14 | 1 | no | — |
| 855 | C22⋊Q8 | — | 14 | 1 | no | — |
| 856 | C22⋊Q8 | — | 14 | 1 | no | — |
| 857 | C22⋊Q8 | — | 14 | 1 | no | — |
| 858 | C22⋊Q8 | — | 14 | 1 | no | — |
| 859 | C22⋊Q8 | — | 14 | 2 | no | — |
| 860 | C22⋊Q8 | — | 14 | 2 | no | — |
| 861 | C22⋊Q8 | — | 14 | 2 | no | — |
| 862 | C22⋊Q8 | — | 14 | 2 | no | — |
| 863 | C22⋊Q8 | — | 14 | 1 | no | — |
| 864 | C22⋊Q8 | — | 14 | 1 | no | — |
| 865 | C22⋊Q8 | — | 14 | 1 | no | — |
| 866 | C22⋊Q8 | — | 14 | 2 | no | — |
| 867 | C22⋊Q8 | — | 14 | 2 | no | — |
| 868 | C22⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 869 | C22⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 870 | #121 | — | 7 | 1 | no | — |
| 871 | #121 | — | 7 | 1 | no | — |
| 872 | #121 | — | 14 | 1 | no | — |
| 873 | #121 | — | 14 | 1 | no | — |
| 874 | #121 | — | 14 | 1 | no | — |
| 875 | #121 | — | 14 | 1 | no | — |
| 876 | #121 | — | 14 | 1 | no | — |
| 877 | #121 | — | 14 | 1 | no | — |
| 878 | #121 | — | 14 | 1 | no | — |
| 879 | #121 | — | 14 | 1 | no | — |
| 880 | #121 | — | 14 | 1 | no | — |
| 881 | C4×Q8 | — | 2 | 1 | no | — |
| 882 | C4×Q8 | — | 7 | 1 | no | — |
| 883 | C4×Q8 | — | 7 | 1 | no | — |
| 884 | C4×Q8 | — | 7 | 1 | no | — |
| 885 | C4×Q8 | — | 7 | 1 | no | — |
| 886 | C4×Q8 | — | 7 | 1 | no | — |
| 887 | C4×Q8 | — | 7 | 1 | no | — |
| 888 | C4×Q8 | — | 14 | 1 | no | — |
| 889 | C4×Q8 | — | 14 | 1 | no | — |
| 890 | C4×Q8 | — | 14 | 1 | no | — |
| 891 | C4×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 892 | C4×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 893 | C4×D4 | — | 7 | 1 | no | — |
| 894 | C4×D4 | — | 7 | 1 | no | — |
| 895 | C4×D4 | — | 7 | 1 | no | — |
| 896 | C4×D4 | — | 7 | 1 | no | — |
| 897 | C4×D4 | — | 7 | 1 | no | — |
| 898 | C4×D4 | — | 7 | 1 | no | — |
| 899 | C4×D4 | — | 7 | 1 | no | — |
| 900 | C4×D4 | — | 7 | 1 | no | — |
| 901 | C4×D4 | — | 14 | 1 | no | — |
| 902 | C4×D4 | — | 14 | 1 | no | — |
| 903 | C4×D4 | — | 14 | 1 | no | — |
| 904 | C4×D4 | — | 14 | 1 | no | — |
| 905 | C4×D4 | — | 14 | 1 | no | — |
| 906 | C4×D4 | — | 14 | 1 | no | — |
| 907 | C4×D4 | — | 14 | 1 | no | — |
| 908 | C4×D4 | — | 14 | 1 | no | — |
| 909 | C4×D4 | — | 14 | 1 | no | — |
| 910 | C4×D4 | — | 14 | 1 | no | — |
| 911 | #117 | — | 2 | 1 | no | — |
| 912 | #117 | — | 7 | 1 | no | — |
| 913 | #117 | — | 7 | 1 | no | — |
| 914 | #117 | — | 7 | 1 | no | — |
| 915 | #117 | — | 7 | 1 | no | — |
| 916 | #117 | — | 14 | 1 | no | — |
| 917 | #117 | — | 14 | 1 | no | — |
| 918 | #117 | — | 14 | 1 | no | — |
| 919 | #117 | — | 14 | 1 | no | — |
| 920 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 921 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 922 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 923 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 924 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 925 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 926 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 927 | C2×C4⋊C4 | — | 14 | 1 | no | — |
| 928 | C2×C42 | — | 7 | 1 | no | — |
| 929 | C2×C42 | — | 7 | 1 | no | — |
| 930 | C2×C42 | — | 14 | 1 | no | — |
| 931 | C2×C42 | — | 14 | 1 | no | — |
| 932 | C2×C42 | C22×D7 | 1 | 1 | yes | characteristic |
| 933 | C4⋊C8 | — | 7 | 2 | no | — |
| 934 | C4⋊C8 | — | 7 | 2 | no | — |
| 935 | C4⋊C8 | — | 7 | 1 | no | — |
| 936 | C4⋊C8 | — | 7 | 1 | no | — |
| 937 | C4⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 938 | C4⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 939 | #103 | — | 7 | 2 | no | — |
| 940 | #103 | — | 7 | 2 | no | — |
| 941 | #103 | — | 7 | 2 | no | — |
| 942 | #103 | — | 7 | 2 | no | — |
| 943 | #103 | — | 7 | 2 | no | — |
| 944 | #103 | — | 7 | 2 | no | — |
| 945 | #103 | — | 7 | 2 | no | — |
| 946 | #103 | — | 7 | 2 | no | — |
| 947 | #103 | C22×D7 | 1 | 2 | yes | — |
| 948 | #103 | C22×D7 | 1 | 2 | yes | — |
| 949 | #103 | C22×D7 | 1 | 2 | yes | — |
| 950 | #103 | C22×D7 | 1 | 2 | yes | — |
| 951 | #102 | — | 7 | 2 | no | — |
| 952 | #102 | — | 7 | 2 | no | — |
| 953 | #102 | — | 7 | 2 | no | — |
| 954 | #102 | — | 7 | 2 | no | — |
| 955 | C22⋊C8 | — | 7 | 2 | no | — |
| 956 | C22⋊C8 | — | 7 | 2 | no | — |
| 957 | C22⋊C8 | — | 7 | 2 | no | — |
| 958 | C22⋊C8 | C22×D7 | 1 | 2 | yes | — |
| 959 | #97 | — | 7 | 2 | no | — |
| 960 | #97 | — | 7 | 2 | no | — |
| 961 | C4×C8 | — | 7 | 2 | no | — |
| 962 | C4×C8 | C22×D7 | 1 | 2 | yes | — |
| 963 | C22×C7 | — | 2 | 1 | no | — |
| 964 | C22×C7 | — | 2 | 1 | no | — |
| 965 | C22×C7 | — | 2 | 1 | no | — |
| 966 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 967 | C2×D7 | — | 2 | 1 | no | — |
| 968 | C2×D7 | — | 2 | 1 | no | — |
| 969 | C2×D7 | — | 2 | 1 | no | — |
| 970 | C2×D7 | — | 2 | 1 | no | — |
| 971 | C2×D7 | — | 2 | 1 | no | — |
| 972 | C2×D7 | — | 4 | 1 | no | — |
| 973 | C2×D7 | — | 4 | 2 | no | — |
| 974 | C2×D7 | — | 4 | 2 | no | — |
| 975 | C2×D7 | — | 4 | 1 | no | — |
| 976 | C2×D7 | — | 4 | 1 | no | — |
| 977 | C2×D7 | — | 4 | 2 | no | — |
| 978 | C2×D7 | #535 | 1 | 2 | yes | — |
| 979 | C4×C7 | — | 2 | 1 | no | — |
| 980 | C4×C7 | — | 2 | 1 | no | — |
| 981 | C4×C7 | — | 2 | 1 | no | — |
| 982 | C4×C7 | — | 2 | 1 | no | — |
| 983 | C4×C7 | — | 4 | 1 | no | — |
| 984 | C4×C7 | — | 4 | 1 | no | — |
| 985 | C4×C7 | — | 4 | 2 | no | — |
| 986 | C4×C7 | — | 4 | 2 | no | — |
| 987 | C4×C7 | — | 4 | 1 | no | — |
| 988 | C4×C7 | — | 4 | 1 | no | — |
| 989 | C4×C7 | #578 | 1 | 2 | yes | — |
| 990 | C4×C7 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 991 | C4×C7 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 992 | Dic7 | — | 2 | 1 | no | — |
| 993 | Dic7 | — | 2 | 1 | no | — |
| 994 | Dic7 | — | 2 | 1 | no | — |
| 995 | Dic7 | — | 2 | 1 | no | — |
| 996 | Dic7 | — | 2 | 1 | no | — |
| 997 | Dic7 | — | 4 | 1 | no | — |
| 998 | Dic7 | — | 4 | 2 | no | — |
| 999 | Dic7 | — | 4 | 1 | no | — |
| 1000 | Dic7 | — | 4 | 1 | no | — |
| 1001 | Dic7 | #535 | 1 | 2 | yes | — |
| 1002 | #41 | — | 14 | 2 | no | — |
| 1003 | #41 | — | 14 | 2 | no | — |
| 1004 | #41 | — | 14 | 2 | no | — |
| 1005 | #41 | — | 14 | 4 | no | — |
| 1006 | #41 | — | 14 | 2 | no | — |
| 1007 | #41 | — | 14 | 4 | no | — |
| 1008 | #41 | — | 28 | 2 | no | — |
| 1009 | #41 | — | 28 | 2 | no | — |
| 1010 | #41 | — | 28 | 8 | no | — |
| 1011 | #41 | — | 28 | 8 | no | — |
| 1012 | #41 | — | 28 | 2 | no | — |
| 1013 | #41 | — | 28 | 2 | no | — |
| 1014 | #41 | — | 28 | 8 | no | — |
| 1015 | C2×Q8 | — | 2 | 2 | no | — |
| 1016 | C2×Q8 | — | 2 | 1 | no | — |
| 1017 | C2×Q8 | — | 4 | 2 | no | — |
| 1018 | C2×Q8 | — | 4 | 2 | no | — |
| 1019 | C2×Q8 | — | 7 | 1 | no | — |
| 1020 | C2×Q8 | — | 7 | 2 | no | — |
| 1021 | C2×Q8 | — | 7 | 1 | no | — |
| 1022 | C2×Q8 | — | 14 | 1 | no | — |
| 1023 | C2×Q8 | — | 14 | 2 | no | — |
| 1024 | C2×Q8 | — | 14 | 2 | no | — |
| 1025 | C2×Q8 | — | 14 | 1 | no | — |
| 1026 | C2×Q8 | — | 14 | 2 | no | — |
| 1027 | C2×Q8 | — | 14 | 4 | no | — |
| 1028 | C2×Q8 | — | 14 | 2 | no | — |
| 1029 | C2×Q8 | — | 14 | 4 | no | — |
| 1030 | C2×Q8 | — | 28 | 2 | no | — |
| 1031 | C2×Q8 | — | 28 | 2 | no | — |
| 1032 | C2×Q8 | — | 28 | 8 | no | — |
| 1033 | C2×Q8 | C23×D7 | 1 | 2 | yes | — |
| 1034 | C2×Q8 | C23×D7 | 1 | 2 | yes | — |
| 1035 | C2×Q8 | C23×D7 | 1 | 1 | yes | characteristic |
| 1036 | C2×Q8 | C23×D7 | 1 | 1 | yes | characteristic |
| 1037 | C2×D4 | — | 7 | 1 | no | — |
| 1038 | C2×D4 | — | 7 | 1 | no | — |
| 1039 | C2×D4 | — | 7 | 1 | no | — |
| 1040 | C2×D4 | — | 7 | 2 | no | — |
| 1041 | C2×D4 | — | 7 | 1 | no | — |
| 1042 | C2×D4 | — | 14 | 1 | no | — |
| 1043 | C2×D4 | — | 14 | 2 | no | — |
| 1044 | C2×D4 | — | 14 | 2 | no | — |
| 1045 | C2×D4 | — | 14 | 1 | no | — |
| 1046 | C2×D4 | — | 14 | 2 | no | — |
| 1047 | C2×D4 | — | 14 | 1 | no | — |
| 1048 | C2×D4 | — | 14 | 1 | no | — |
| 1049 | C2×D4 | — | 14 | 1 | no | — |
| 1050 | C22×C4 | — | 2 | 2 | no | — |
| 1051 | C22×C4 | — | 7 | 1 | no | — |
| 1052 | C22×C4 | — | 7 | 1 | no | — |
| 1053 | C22×C4 | — | 7 | 1 | no | — |
| 1054 | C22×C4 | — | 7 | 1 | no | — |
| 1055 | C22×C4 | — | 7 | 1 | no | — |
| 1056 | C22×C4 | — | 7 | 1 | no | — |
| 1057 | C22×C4 | — | 14 | 1 | no | — |
| 1058 | C22×C4 | — | 14 | 2 | no | — |
| 1059 | C22×C4 | — | 14 | 2 | no | — |
| 1060 | C22×C4 | — | 14 | 1 | no | — |
| 1061 | C22×C4 | — | 14 | 1 | no | — |
| 1062 | C22×C4 | — | 14 | 2 | no | — |
| 1063 | C22×C4 | — | 14 | 2 | no | — |
| 1064 | C22×C4 | — | 14 | 1 | no | — |
| 1065 | C22×C4 | — | 14 | 1 | no | — |
| 1066 | C22×C4 | — | 14 | 2 | no | — |
| 1067 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 1068 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 1069 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 1070 | Q16 | — | 4 | 2 | no | — |
| 1071 | Q16 | — | 4 | 2 | no | — |
| 1072 | Q16 | — | 4 | 2 | no | — |
| 1073 | Q16 | — | 4 | 2 | no | — |
| 1074 | Q16 | — | 28 | 2 | no | — |
| 1075 | Q16 | — | 28 | 2 | no | — |
| 1076 | Q16 | — | 28 | 2 | no | — |
| 1077 | Q16 | — | 28 | 2 | no | — |
| 1078 | Q16 | — | 28 | 2 | no | — |
| 1079 | SD16 | — | 28 | 2 | no | — |
| 1080 | SD16 | — | 28 | 2 | no | — |
| 1081 | SD16 | — | 28 | 2 | no | — |
| 1082 | SD16 | — | 28 | 2 | no | — |
| 1083 | SD16 | — | 28 | 2 | no | — |
| 1084 | SD16 | — | 28 | 2 | no | — |
| 1085 | D8 | — | 28 | 2 | no | — |
| 1086 | M16 | — | 14 | 4 | no | — |
| 1087 | C2×C8 | — | 7 | 2 | no | — |
| 1088 | C2×C8 | — | 7 | 2 | no | — |
| 1089 | C2×C8 | — | 14 | 4 | no | — |
| 1090 | C2×C8 | C23×D7 | 1 | 2 | yes | — |
| 1091 | C2×C8 | C23×D7 | 1 | 2 | yes | — |
| 1092 | C4⋊C4 | — | 2 | 1 | no | — |
| 1093 | C4⋊C4 | — | 2 | 1 | no | — |
| 1094 | C4⋊C4 | — | 2 | 1 | no | — |
| 1095 | C4⋊C4 | — | 2 | 1 | no | — |
| 1096 | C4⋊C4 | — | 2 | 2 | no | — |
| 1097 | C4⋊C4 | — | 2 | 2 | no | — |
| 1098 | C4⋊C4 | — | 2 | 1 | no | — |
| 1099 | C4⋊C4 | — | 2 | 1 | no | — |
| 1100 | C4⋊C4 | — | 2 | 1 | no | — |
| 1101 | C4⋊C4 | — | 2 | 1 | no | — |
| 1102 | C4⋊C4 | — | 2 | 1 | no | — |
| 1103 | C4⋊C4 | — | 2 | 1 | no | — |
| 1104 | C4⋊C4 | — | 2 | 1 | no | — |
| 1105 | C4⋊C4 | — | 7 | 1 | no | — |
| 1106 | C4⋊C4 | — | 7 | 1 | no | — |
| 1107 | C4⋊C4 | — | 7 | 1 | no | — |
| 1108 | C4⋊C4 | — | 7 | 1 | no | — |
| 1109 | C4⋊C4 | — | 7 | 1 | no | — |
| 1110 | C4⋊C4 | — | 7 | 1 | no | — |
| 1111 | C4⋊C4 | — | 7 | 1 | no | — |
| 1112 | C4⋊C4 | — | 7 | 1 | no | — |
| 1113 | C4⋊C4 | — | 14 | 1 | no | — |
| 1114 | C4⋊C4 | — | 14 | 1 | no | — |
| 1115 | C4⋊C4 | — | 14 | 2 | no | — |
| 1116 | C4⋊C4 | — | 14 | 2 | no | — |
| 1117 | C4⋊C4 | — | 14 | 2 | no | — |
| 1118 | C4⋊C4 | — | 14 | 2 | no | — |
| 1119 | C4⋊C4 | — | 14 | 1 | no | — |
| 1120 | C4⋊C4 | — | 14 | 1 | no | — |
| 1121 | C4⋊C4 | — | 14 | 1 | no | — |
| 1122 | C4⋊C4 | — | 14 | 1 | no | — |
| 1123 | C4⋊C4 | — | 14 | 1 | no | — |
| 1124 | C4⋊C4 | — | 14 | 1 | no | — |
| 1125 | C4⋊C4 | — | 14 | 1 | no | — |
| 1126 | C4⋊C4 | — | 14 | 1 | no | — |
| 1127 | C4⋊C4 | — | 14 | 1 | no | — |
| 1128 | C4⋊C4 | — | 14 | 1 | no | — |
| 1129 | C4⋊C4 | — | 14 | 1 | no | — |
| 1130 | C4⋊C4 | — | 14 | 1 | no | — |
| 1131 | C4⋊C4 | — | 14 | 1 | no | — |
| 1132 | C4⋊C4 | — | 14 | 1 | no | — |
| 1133 | C4⋊C4 | — | 14 | 1 | no | — |
| 1134 | C4⋊C4 | — | 14 | 1 | no | — |
| 1135 | C4⋊C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 1136 | C4⋊C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 1137 | C22⋊C4 | — | 2 | 1 | no | — |
| 1138 | C22⋊C4 | — | 2 | 1 | no | — |
| 1139 | C22⋊C4 | — | 7 | 1 | no | — |
| 1140 | C22⋊C4 | — | 7 | 1 | no | — |
| 1141 | C22⋊C4 | — | 7 | 1 | no | — |
| 1142 | C22⋊C4 | — | 7 | 1 | no | — |
| 1143 | C22⋊C4 | — | 7 | 1 | no | — |
| 1144 | C22⋊C4 | — | 7 | 1 | no | — |
| 1145 | C22⋊C4 | — | 14 | 1 | no | — |
| 1146 | C22⋊C4 | — | 14 | 1 | no | — |
| 1147 | C22⋊C4 | — | 14 | 1 | no | — |
| 1148 | C22⋊C4 | — | 14 | 2 | no | — |
| 1149 | C22⋊C4 | — | 14 | 2 | no | — |
| 1150 | C22⋊C4 | — | 14 | 2 | no | — |
| 1151 | C22⋊C4 | — | 14 | 2 | no | — |
| 1152 | C22⋊C4 | — | 14 | 1 | no | — |
| 1153 | C22⋊C4 | — | 14 | 1 | no | — |
| 1154 | C22⋊C4 | — | 14 | 1 | no | — |
| 1155 | C22⋊C4 | — | 14 | 1 | no | — |
| 1156 | C22⋊C4 | — | 14 | 1 | no | — |
| 1157 | C22⋊C4 | — | 14 | 1 | no | — |
| 1158 | C22⋊C4 | — | 14 | 1 | no | — |
| 1159 | C22⋊C4 | — | 14 | 1 | no | — |
| 1160 | C22⋊C4 | — | 14 | 1 | no | — |
| 1161 | C22⋊C4 | — | 14 | 2 | no | — |
| 1162 | C22⋊C4 | — | 14 | 2 | no | — |
| 1163 | C22⋊C4 | — | 14 | 1 | no | — |
| 1164 | C42 | — | 2 | 1 | no | — |
| 1165 | C42 | — | 2 | 1 | no | — |
| 1166 | C42 | — | 7 | 1 | no | — |
| 1167 | C42 | — | 7 | 1 | no | — |
| 1168 | C42 | — | 7 | 1 | no | — |
| 1169 | C42 | — | 7 | 1 | no | — |
| 1170 | C42 | — | 7 | 1 | no | — |
| 1171 | C42 | — | 7 | 1 | no | — |
| 1172 | C42 | — | 14 | 1 | no | — |
| 1173 | C42 | — | 14 | 1 | no | — |
| 1174 | C42 | — | 14 | 1 | no | — |
| 1175 | C42 | — | 14 | 1 | no | — |
| 1176 | C42 | — | 14 | 1 | no | — |
| 1177 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 1178 | C42 | D4×D7 | 1 | 1 | yes | characteristic |
| 1179 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 1180 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 1181 | C2×C7 | — | 4 | 1 | no | — |
| 1182 | C2×C7 | C2×#535 | 1 | 1 | yes | characteristic |
| 1183 | C2×C7 | C2×#578 | 1 | 1 | yes | characteristic |
| 1184 | C2×C7 | #3586 | 1 | 1 | yes | characteristic |
| 1185 | D7 | — | 2 | 2 | no | — |
| 1186 | D7 | — | 4 | 1 | no | — |
| 1187 | D7 | — | 8 | 1 | no | — |
| 1188 | D7 | — | 8 | 2 | no | — |
| 1189 | C23 | — | 7 | 1 | no | — |
| 1190 | C23 | — | 7 | 1 | no | — |
| 1191 | C23 | — | 14 | 1 | no | — |
| 1192 | C23 | — | 14 | 2 | no | — |
| 1193 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1194 | Q8 | — | 2 | 1 | no | — |
| 1195 | Q8 | — | 2 | 1 | no | — |
| 1196 | Q8 | — | 2 | 2 | no | — |
| 1197 | Q8 | — | 2 | 2 | no | — |
| 1198 | Q8 | — | 2 | 1 | no | — |
| 1199 | Q8 | — | 2 | 1 | no | — |
| 1200 | Q8 | — | 2 | 2 | no | — |
| 1201 | Q8 | — | 2 | 2 | no | — |
| 1202 | Q8 | — | 4 | 4 | no | — |
| 1203 | Q8 | — | 8 | 1 | no | — |
| 1204 | Q8 | — | 14 | 2 | no | — |
| 1205 | Q8 | — | 14 | 1 | no | — |
| 1206 | Q8 | — | 14 | 2 | no | — |
| 1207 | Q8 | — | 14 | 1 | no | — |
| 1208 | Q8 | — | 14 | 2 | no | — |
| 1209 | Q8 | — | 28 | 2 | no | — |
| 1210 | Q8 | — | 28 | 4 | no | — |
| 1211 | Q8 | — | 28 | 4 | no | — |
| 1212 | Q8 | — | 56 | 1 | no | — |
| 1213 | D4 | — | 14 | 2 | no | — |
| 1214 | D4 | — | 14 | 2 | no | — |
| 1215 | D4 | — | 14 | 2 | no | — |
| 1216 | D4 | — | 14 | 1 | no | — |
| 1217 | D4 | — | 14 | 2 | no | — |
| 1218 | D4 | — | 14 | 1 | no | — |
| 1219 | D4 | — | 14 | 2 | no | — |
| 1220 | D4 | — | 28 | 2 | no | — |
| 1221 | D4 | — | 28 | 2 | no | — |
| 1222 | D4 | — | 28 | 4 | no | — |
| 1223 | D4 | — | 28 | 4 | no | — |
| 1224 | D4 | — | 28 | 4 | no | — |
| 1225 | D4 | — | 28 | 2 | no | — |
| 1226 | D4 | — | 56 | 1 | no | — |
| 1227 | D4 | — | 56 | 1 | no | — |
| 1228 | C2×C4 | — | 2 | 2 | no | — |
| 1229 | C2×C4 | — | 2 | 1 | no | — |
| 1230 | C2×C4 | — | 2 | 1 | no | — |
| 1231 | C2×C4 | — | 2 | 1 | no | — |
| 1232 | C2×C4 | — | 2 | 1 | no | — |
| 1233 | C2×C4 | — | 2 | 1 | no | — |
| 1234 | C2×C4 | — | 2 | 1 | no | — |
| 1235 | C2×C4 | — | 2 | 2 | no | — |
| 1236 | C2×C4 | — | 2 | 2 | no | — |
| 1237 | C2×C4 | — | 4 | 1 | no | — |
| 1238 | C2×C4 | — | 4 | 4 | no | — |
| 1239 | C2×C4 | — | 7 | 1 | no | — |
| 1240 | C2×C4 | — | 7 | 2 | no | — |
| 1241 | C2×C4 | — | 7 | 2 | no | — |
| 1242 | C2×C4 | — | 7 | 1 | no | — |
| 1243 | C2×C4 | — | 7 | 1 | no | — |
| 1244 | C2×C4 | — | 7 | 1 | no | — |
| 1245 | C2×C4 | — | 7 | 1 | no | — |
| 1246 | C2×C4 | — | 7 | 1 | no | — |
| 1247 | C2×C4 | — | 14 | 2 | no | — |
| 1248 | C2×C4 | — | 14 | 2 | no | — |
| 1249 | C2×C4 | — | 14 | 1 | no | — |
| 1250 | C2×C4 | — | 14 | 1 | no | — |
| 1251 | C2×C4 | — | 14 | 1 | no | — |
| 1252 | C2×C4 | — | 14 | 1 | no | — |
| 1253 | C2×C4 | — | 14 | 1 | no | — |
| 1254 | C2×C4 | — | 14 | 2 | no | — |
| 1255 | C2×C4 | — | 28 | 1 | no | — |
| 1256 | C2×C4 | — | 28 | 1 | no | — |
| 1257 | C2×C4 | — | 28 | 4 | no | — |
| 1258 | C2×C4 | — | 28 | 4 | no | — |
| 1259 | C2×C4 | — | 28 | 2 | no | — |
| 1260 | C2×C4 | — | 28 | 4 | no | — |
| 1261 | C2×C4 | — | 28 | 2 | no | — |
| 1262 | C2×C4 | — | 28 | 4 | no | — |
| 1263 | C2×C4 | — | 28 | 4 | no | — |
| 1264 | C2×C4 | — | 28 | 2 | no | — |
| 1265 | C2×C4 | — | 56 | 1 | no | — |
| 1266 | C2×C4 | — | 56 | 1 | no | — |
| 1267 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1268 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1269 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1270 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1271 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 1272 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 1273 | C8 | — | 2 | 2 | no | — |
| 1274 | C8 | — | 2 | 2 | no | — |
| 1275 | C8 | — | 14 | 2 | no | — |
| 1276 | C8 | — | 14 | 2 | no | — |
| 1277 | C7 | #60837 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1278 | C22 | — | 2 | 1 | no | — |
| 1279 | C22 | — | 2 | 1 | no | — |
| 1280 | C22 | — | 2 | 1 | no | — |
| 1281 | C22 | — | 7 | 2 | no | — |
| 1282 | C22 | — | 14 | 1 | no | — |
| 1283 | C22 | — | 14 | 1 | no | — |
| 1284 | C22 | — | 14 | 1 | no | — |
| 1285 | C22 | — | 14 | 1 | no | — |
| 1286 | C22 | — | 14 | 1 | no | — |
| 1287 | C22 | — | 28 | 1 | no | — |
| 1288 | C22 | — | 28 | 2 | no | — |
| 1289 | C22 | — | 28 | 2 | no | — |
| 1290 | C22 | — | 28 | 1 | no | — |
| 1291 | C22 | — | 28 | 1 | no | — |
| 1292 | C22 | — | 28 | 2 | no | — |
| 1293 | C22 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 1294 | C4 | — | 2 | 1 | no | — |
| 1295 | C4 | — | 2 | 1 | no | — |
| 1296 | C4 | — | 2 | 1 | no | — |
| 1297 | C4 | — | 2 | 1 | no | — |
| 1298 | C4 | — | 4 | 1 | no | — |
| 1299 | C4 | — | 4 | 1 | no | — |
| 1300 | C4 | — | 4 | 2 | no | — |
| 1301 | C4 | — | 4 | 2 | no | — |
| 1302 | C4 | — | 4 | 1 | no | — |
| 1303 | C4 | — | 4 | 1 | no | — |
| 1304 | C4 | — | 7 | 2 | no | — |
| 1305 | C4 | — | 14 | 1 | no | — |
| 1306 | C4 | — | 14 | 1 | no | — |
| 1307 | C4 | — | 14 | 1 | no | — |
| 1308 | C4 | — | 14 | 1 | no | — |
| 1309 | C4 | — | 14 | 1 | no | — |
| 1310 | C4 | — | 28 | 1 | no | — |
| 1311 | C4 | — | 28 | 2 | no | — |
| 1312 | C4 | — | 28 | 1 | no | — |
| 1313 | C4 | — | 28 | 1 | no | — |
| 1314 | C4 | #90457 | 1 | 2 | yes | — |
| 1315 | C4 | D7×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1316 | C4 | D7×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1317 | C2 | — | 4 | 1 | no | — |
| 1318 | C2 | — | 14 | 2 | no | — |
| 1319 | C2 | — | 28 | 1 | no | — |
| 1320 | C2 | — | 56 | 1 | no | — |
| 1321 | C2 | — | 56 | 2 | no | — |
| 1322 | C2 | D7×#535 | 1 | 1 | yes | characteristic |
| 1323 | C2 | C2×#90457 | 1 | 1 | yes | characteristic |
| 1324 | C2 | #11744265 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743343 | C2 | semidirect |
| 2. #11743282 | C2 | semidirect |
| 3. C7×#3209 | C2 | semidirect |
| 4. #11740803 | C2 | semidirect |
| 5. #11740659 | C2 | semidirect |
| 6. #11739249 | C2 | semidirect |
| 7. #11739246 | C2 | semidirect |
| 8. #11739051 | C2 | semidirect |
| 9. #11739044 | C2 | semidirect |
| 10. #11737928 | C2 | semidirect |
| 11. #11737927 | C2 | semidirect |
| 12. #11737926 | C2 | semidirect |
| 13. #11737925 | C2 | semidirect |
| 14. #11737922 | C2 | semidirect |
| 15. #11737921 | C2 | semidirect |
| 16. #11737920 | C2 | semidirect |
| 17. D7×#462 | C2 | semidirect |
| 18. #11737648 | C2 | semidirect |
| 19. #11737631 | C2 | semidirect |
| 20. #11737630 | C2 | semidirect |
| 21. #11737625 | C2 | semidirect |
| 22. #11736753 | C2 | semidirect |
| 23. #11736730 | C2 | semidirect |
| 362. #3209 | D7 | semidirect |
| 1277. C7 | #60837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.