Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1250 conjugacy classes of subgroups.
The subgroup lattice has 940 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743086 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11741449 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11740381 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11736437 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C7×#2010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11729868 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729469 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729465 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11728171 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11728149 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11728148 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11727746 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11727719 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11726468 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11726465 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #90616 | C22 | 1 | 1 | yes | characteristic |
| 17 | C7×#575 | C22 | 1 | 1 | yes | characteristic |
| 18 | C7×#525 | C22 | 1 | 1 | yes | characteristic |
| 19 | C7×#525 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #90523 | C22 | 1 | 1 | yes | characteristic |
| 21 | #41×Dic7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #90513 | C22 | 1 | 1 | yes | characteristic |
| 23 | #90482 | C22 | 1 | 1 | yes | characteristic |
| 24 | #90482 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×C4×Dic7 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #90436 | C22 | 1 | 1 | yes | characteristic |
| 27 | #90340 | — | 2 | 2 | no | — |
| 28 | #90315 | — | 2 | 1 | no | — |
| 29 | #90313 | — | 2 | 1 | no | — |
| 30 | #90291 | — | 2 | 1 | no | — |
| 31 | #90287 | — | 2 | 1 | no | — |
| 32 | #90277 | — | 2 | 2 | no | — |
| 33 | #90229 | — | 2 | 2 | no | — |
| 34 | C4×#1159 | — | 2 | 2 | no | — |
| 35 | #90213 | C22 | 1 | 1 | yes | characteristic |
| 36 | #90208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | C7×#421 | C22 | 1 | 1 | yes | characteristic |
| 38 | C7×#421 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C7×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #90012 | C22 | 1 | 1 | yes | characteristic |
| 41 | #90008 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C2×#6411 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×#6411 | C22 | 1 | 1 | yes | characteristic |
| 44 | #89979 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #89977 | — | 2 | 1 | no | — |
| 46 | #89974 | — | 2 | 1 | no | — |
| 47 | #89973 | — | 2 | 1 | no | — |
| 48 | #89970 | — | 2 | 1 | no | — |
| 49 | C2×#6399 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#6399 | C22 | 1 | 1 | yes | characteristic |
| 51 | #89904 | C22 | 1 | 1 | yes | characteristic |
| 52 | #89825 | — | 2 | 2 | no | — |
| 53 | #89804 | — | 2 | 2 | no | — |
| 54 | #89778 | C22 | 1 | 1 | yes | characteristic |
| 55 | #89778 | C22 | 1 | 1 | yes | characteristic |
| 56 | #89777 | C22 | 1 | 1 | yes | characteristic |
| 57 | #89593 | — | 2 | 2 | no | — |
| 58 | D7×#104 | — | 2 | 2 | no | — |
| 59 | C7×H(3,ℤ/4) | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #89354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #89351 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #89350 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #89350 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #89327 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #89327 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #89326 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #23994 | — | 7 | 1 | no | maximal, Sylow |
| 68 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 70 | C23×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 71 | C23×Dic7 | — | 2 | 1 | no | — |
| 72 | #6554 | — | 2 | 1 | no | — |
| 73 | #6554 | — | 2 | 1 | no | — |
| 74 | #6553 | — | 2 | 1 | no | — |
| 75 | #6553 | — | 2 | 1 | no | — |
| 76 | D7×#41 | — | 2 | 2 | no | — |
| 77 | D7×#41 | — | 4 | 1 | no | — |
| 78 | #6551 | — | 2 | 1 | no | — |
| 79 | #6548 | — | 2 | 1 | no | — |
| 80 | #6548 | — | 2 | 2 | no | — |
| 81 | C2×#1159 | — | 2 | 2 | no | — |
| 82 | C2×#1157 | — | 4 | 1 | no | — |
| 83 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 84 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 85 | C7×#137 | — | 2 | 1 | no | — |
| 86 | C7×#137 | — | 2 | 1 | no | — |
| 87 | C7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 88 | C7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 89 | C7×#135 | — | 4 | 1 | no | — |
| 90 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 92 | C7×#123 | — | 2 | 1 | no | — |
| 93 | C7×#123 | — | 2 | 1 | no | — |
| 94 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 95 | C7×C22⋊Q8 | — | 2 | 1 | no | — |
| 96 | C7×#121 | — | 2 | 1 | no | — |
| 97 | C7×#121 | — | 2 | 1 | no | — |
| 98 | C7×#120 | — | 2 | 1 | no | — |
| 99 | C7×#120 | — | 2 | 1 | no | — |
| 100 | C4×C7×D4 | — | 2 | 2 | no | — |
| 101 | C4×C7×D4 | — | 4 | 1 | no | — |
| 102 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 103 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 104 | #6516 | — | 2 | 1 | no | — |
| 105 | #6516 | D4 | 1 | 2 | yes | — |
| 106 | #6514 | — | 2 | 1 | no | — |
| 107 | #6513 | — | 4 | 1 | no | — |
| 108 | #6512 | — | 2 | 1 | no | — |
| 109 | #6510 | D4 | 1 | 1 | yes | characteristic, complemented |
| 110 | Q8×Dic7 | — | 2 | 1 | no | — |
| 111 | #6507 | D4 | 1 | 1 | yes | characteristic, complemented |
| 112 | #6505 | — | 2 | 1 | no | — |
| 113 | #6503 | D4 | 1 | 1 | yes | characteristic, complemented |
| 114 | #6502 | — | 2 | 2 | no | — |
| 115 | #6502 | — | 2 | 2 | no | — |
| 116 | #6499 | D4 | 1 | 1 | yes | characteristic, complemented |
| 117 | #6498 | — | 2 | 2 | no | — |
| 118 | D4×Dic7 | — | 2 | 2 | no | — |
| 119 | D4×Dic7 | — | 2 | 1 | no | — |
| 120 | D4×Dic7 | — | 2 | 2 | no | — |
| 121 | #6495 | — | 2 | 1 | no | — |
| 122 | #6493 | — | 2 | 1 | no | — |
| 123 | #6493 | — | 2 | 1 | no | — |
| 124 | #6492 | — | 2 | 1 | no | — |
| 125 | #6492 | D4 | 1 | 2 | yes | — |
| 126 | C4×C22⋊D7 | — | 2 | 2 | no | — |
| 127 | C4×C22⋊D7 | — | 2 | 2 | no | — |
| 128 | C4×C22⋊D7 | — | 4 | 1 | no | — |
| 129 | #6489 | — | 2 | 1 | no | — |
| 130 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 131 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 132 | #6487 | — | 2 | 1 | no | — |
| 133 | #6487 | — | 2 | 1 | no | — |
| 134 | C2×C4×Dic7 | — | 2 | 1 | no | — |
| 135 | C2×C4×Dic7 | — | 2 | 1 | no | — |
| 136 | C2×C4×Dic7 | — | 2 | 1 | no | — |
| 137 | C2×C4×Dic7 | — | 2 | 1 | no | — |
| 138 | C2×C4×Dic7 | — | 2 | 1 | no | — |
| 139 | C2×C4×Dic7 | — | 2 | 1 | no | — |
| 140 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 141 | C2×C4×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 142 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 143 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 144 | #6470 | — | 4 | 1 | no | — |
| 145 | D7×M16 | — | 2 | 2 | no | — |
| 146 | #6464 | — | 4 | 1 | no | — |
| 147 | #6461 | — | 2 | 2 | no | — |
| 148 | #6456 | — | 2 | 1 | no | — |
| 149 | #6455 | — | 2 | 2 | no | — |
| 150 | #6453 | — | 2 | 1 | no | — |
| 151 | #6452 | — | 2 | 2 | no | — |
| 152 | #6451 | — | 2 | 1 | no | — |
| 153 | #6450 | — | 2 | 2 | no | — |
| 154 | #6450 | — | 2 | 1 | no | — |
| 155 | #6449 | — | 2 | 2 | no | — |
| 156 | #6448 | — | 2 | 2 | no | — |
| 157 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 158 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 159 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 160 | #6442 | — | 2 | 2 | no | — |
| 161 | #6441 | — | 2 | 2 | no | — |
| 162 | #6441 | — | 2 | 2 | no | — |
| 163 | #6440 | — | 2 | 2 | no | — |
| 164 | #6440 | — | 2 | 2 | no | — |
| 165 | #6435 | D4 | 1 | 2 | yes | complemented |
| 166 | C42×D7 | D4 | 1 | 2 | yes | complemented |
| 167 | C4×Dic14 | — | 2 | 2 | no | — |
| 168 | C7×#104 | — | 2 | 2 | no | — |
| 169 | C7×#104 | — | 4 | 1 | no | — |
| 170 | C7×C22⋊C8 | — | 4 | 1 | no | — |
| 171 | #6411 | — | 2 | 1 | no | — |
| 172 | #6411 | — | 2 | 1 | no | — |
| 173 | #6411 | — | 2 | 1 | no | — |
| 174 | #6411 | — | 2 | 1 | no | — |
| 175 | #6411 | — | 4 | 1 | no | — |
| 176 | #6408 | — | 2 | 2 | no | — |
| 177 | C22⋊(C7⋊C8) | — | 4 | 1 | no | — |
| 178 | #6399 | — | 2 | 1 | no | — |
| 179 | #6399 | — | 2 | 1 | no | — |
| 180 | #6399 | — | 2 | 1 | no | — |
| 181 | #6399 | — | 2 | 1 | no | — |
| 182 | #6398 | — | 2 | 1 | no | — |
| 183 | #6397 | — | 2 | 1 | no | — |
| 184 | #6380 | — | 2 | 2 | no | — |
| 185 | #6380 | — | 2 | 2 | no | — |
| 186 | #6379 | — | 2 | 2 | no | — |
| 187 | #3444 | — | 7 | 1 | no | — |
| 188 | #3025 | — | 7 | 1 | no | — |
| 189 | #3018 | — | 7 | 1 | no | — |
| 190 | #2901 | — | 7 | 1 | no | — |
| 191 | #2031 | — | 7 | 1 | no | — |
| 192 | #2031 | — | 7 | 1 | no | — |
| 193 | #2010 | — | 7 | 1 | no | — |
| 194 | #2010 | D7 | 1 | 1 | yes | characteristic, complemented |
| 195 | #1906 | — | 7 | 1 | no | — |
| 196 | #1906 | — | 7 | 1 | no | — |
| 197 | #1896 | — | 7 | 1 | no | — |
| 198 | #1896 | — | 7 | 1 | no | — |
| 199 | #1891 | — | 7 | 1 | no | — |
| 200 | #1884 | — | 7 | 1 | no | — |
| 201 | #1827 | — | 7 | 1 | no | — |
| 202 | C24×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 203 | C7×#41 | — | 2 | 1 | no | — |
| 204 | C7×#41 | — | 2 | 1 | no | — |
| 205 | C7×#41 | — | 2 | 1 | no | — |
| 206 | C7×#41 | — | 2 | 1 | no | — |
| 207 | C7×#41 | — | 2 | 1 | no | — |
| 208 | C7×#41 | — | 2 | 1 | no | — |
| 209 | C7×#41 | — | 2 | 1 | no | — |
| 210 | C7×#41 | — | 2 | 1 | no | — |
| 211 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C2×C7×Q8 | #41 | 1 | 1 | yes | characteristic, complemented |
| 213 | C2×C7×D4 | — | 2 | 2 | no | — |
| 214 | C2×C7×D4 | — | 2 | 1 | no | — |
| 215 | C2×C7×D4 | — | 2 | 1 | no | — |
| 216 | C2×C7×D4 | — | 4 | 1 | no | — |
| 217 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C2×C7×D4 | #41 | 1 | 1 | yes | characteristic, complemented |
| 219 | C22×C4×C7 | — | 2 | 1 | no | — |
| 220 | C22×C4×C7 | — | 2 | 1 | no | — |
| 221 | C22×C4×C7 | — | 2 | 1 | no | — |
| 222 | C22×C4×C7 | — | 2 | 1 | no | — |
| 223 | C22×C4×C7 | — | 2 | 1 | no | — |
| 224 | C22×C4×C7 | — | 2 | 1 | no | — |
| 225 | C22×C4×C7 | — | 2 | 1 | no | — |
| 226 | C22×C4×C7 | — | 2 | 1 | no | — |
| 227 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 229 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 230 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 231 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 232 | C2×C22⋊D7 | — | 4 | 2 | no | — |
| 233 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 234 | C2×C22⋊D7 | C2×D4 | 1 | 2 | yes | — |
| 235 | C22×Dic7 | — | 2 | 1 | no | — |
| 236 | C22×Dic7 | — | 2 | 2 | no | — |
| 237 | C22×Dic7 | — | 2 | 1 | no | — |
| 238 | C22×Dic7 | — | 2 | 1 | no | — |
| 239 | C22×Dic7 | — | 2 | 1 | no | — |
| 240 | C22×Dic7 | — | 2 | 1 | no | — |
| 241 | C22×Dic7 | — | 2 | 1 | no | — |
| 242 | C22×Dic7 | — | 4 | 4 | no | — |
| 243 | #1161 | — | 2 | 2 | no | — |
| 244 | #1161 | — | 4 | 1 | no | — |
| 245 | Q8×D7 | — | 2 | 2 | no | — |
| 246 | Q8×D7 | — | 4 | 1 | no | — |
| 247 | #1159 | — | 2 | 2 | no | — |
| 248 | #1159 | — | 4 | 1 | no | — |
| 249 | #1159 | — | 4 | 2 | no | — |
| 250 | #1159 | — | 4 | 8 | no | — |
| 251 | #1159 | — | 4 | 2 | no | — |
| 252 | D4×D7 | — | 2 | 2 | no | — |
| 253 | D4×D7 | — | 4 | 1 | no | — |
| 254 | D4×D7 | — | 4 | 2 | no | — |
| 255 | D4×D7 | — | 4 | 2 | no | — |
| 256 | #1157 | — | 2 | 1 | no | — |
| 257 | #1157 | — | 2 | 1 | no | — |
| 258 | #1157 | — | 2 | 1 | no | — |
| 259 | #1157 | — | 2 | 1 | no | — |
| 260 | #1157 | — | 2 | 1 | no | — |
| 261 | #1157 | — | 2 | 1 | no | — |
| 262 | #1157 | — | 2 | 1 | no | — |
| 263 | #1157 | — | 2 | 1 | no | — |
| 264 | #1157 | — | 4 | 1 | no | — |
| 265 | #1157 | — | 4 | 1 | no | — |
| 266 | #1157 | — | 4 | 2 | no | — |
| 267 | #1157 | — | 4 | 2 | no | — |
| 268 | C2×D28 | — | 4 | 1 | no | — |
| 269 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 270 | C2×D28 | #41 | 1 | 1 | yes | characteristic, complemented |
| 271 | C2×C4×D7 | — | 2 | 2 | no | — |
| 272 | C2×C4×D7 | — | 2 | 1 | no | — |
| 273 | C2×C4×D7 | — | 4 | 2 | no | — |
| 274 | C2×C4×D7 | C2×D4 | 1 | 2 | yes | — |
| 275 | C2×Dic14 | — | 2 | 2 | no | — |
| 276 | C2×Dic14 | — | 4 | 1 | no | — |
| 277 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | C2×Dic14 | #41 | 1 | 1 | yes | characteristic, complemented |
| 279 | C7×Q16 | — | 4 | 1 | no | — |
| 280 | C7×SD16 | — | 4 | 1 | no | — |
| 281 | C7×SD16 | — | 4 | 1 | no | — |
| 282 | C7×D8 | — | 4 | 1 | no | — |
| 283 | C7×M16 | — | 2 | 1 | no | — |
| 284 | C7×M16 | — | 2 | 1 | no | — |
| 285 | C7×M16 | — | 2 | 1 | no | — |
| 286 | C7×M16 | — | 2 | 1 | no | — |
| 287 | C2×C7×C8 | — | 2 | 1 | no | — |
| 288 | C2×C7×C8 | — | 2 | 1 | no | — |
| 289 | C7×C4⋊C4 | — | 2 | 2 | no | — |
| 290 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 291 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 292 | C7×C4⋊C4 | — | 4 | 1 | no | — |
| 293 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 294 | C7×C22⋊C4 | — | 2 | 2 | no | — |
| 295 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 296 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 297 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 298 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 299 | C42×C7 | — | 2 | 1 | no | — |
| 300 | C42×C7 | C2×D4 | 1 | 2 | yes | — |
| 301 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 302 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 303 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 304 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 305 | C22⋊Dic7 | — | 4 | 1 | no | — |
| 306 | C22⋊Dic7 | C2×D4 | 1 | 2 | yes | — |
| 307 | #1144 | — | 4 | 1 | no | — |
| 308 | #1143 | — | 4 | 1 | no | — |
| 309 | #1142 | — | 4 | 1 | no | — |
| 310 | #1141 | — | 4 | 1 | no | — |
| 311 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 312 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 313 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 314 | (C2×D7)⋊C4 | — | 4 | 1 | no | — |
| 315 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 316 | C4⋊Dic7 | — | 2 | 2 | no | — |
| 317 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 318 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 319 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 320 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 321 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 322 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 323 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 324 | Dic7⋊C4 | — | 4 | 1 | no | — |
| 325 | C4×Dic7 | — | 2 | 1 | no | — |
| 326 | C4×Dic7 | — | 2 | 2 | no | — |
| 327 | C4×Dic7 | — | 2 | 1 | no | — |
| 328 | C4×Dic7 | — | 2 | 1 | no | — |
| 329 | C4×Dic7 | — | 2 | 1 | no | — |
| 330 | C4×Dic7 | — | 2 | 1 | no | — |
| 331 | C4×Dic7 | — | 2 | 1 | no | — |
| 332 | C4×Dic7 | — | 2 | 1 | no | — |
| 333 | C4×Dic7 | — | 2 | 2 | no | — |
| 334 | C4×Dic7 | — | 2 | 1 | no | — |
| 335 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 336 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 337 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 338 | C4×Dic7 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | #1136 | — | 2 | 1 | no | — |
| 340 | #1136 | — | 2 | 1 | no | — |
| 341 | #1136 | — | 2 | 1 | no | — |
| 342 | #1136 | — | 2 | 1 | no | — |
| 343 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 344 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 345 | #1131 | — | 4 | 2 | no | — |
| 346 | C8×D7 | — | 4 | 2 | no | — |
| 347 | #585 | — | 7 | 1 | no | — |
| 348 | #575 | — | 7 | 1 | no | — |
| 349 | #575 | C2×D7 | 1 | 1 | yes | characteristic |
| 350 | #568 | — | 7 | 1 | no | — |
| 351 | #533 | — | 7 | 1 | no | — |
| 352 | #533 | — | 14 | 1 | no | — |
| 353 | #532 | — | 7 | 1 | no | — |
| 354 | #532 | — | 14 | 1 | no | — |
| 355 | #529 | — | 14 | 2 | no | — |
| 356 | #529 | — | 14 | 1 | no | — |
| 357 | #529 | — | 14 | 1 | no | — |
| 358 | #529 | — | 14 | 2 | no | — |
| 359 | #525 | — | 7 | 1 | no | — |
| 360 | #525 | — | 7 | 1 | no | — |
| 361 | #525 | — | 14 | 2 | no | — |
| 362 | #525 | C2×D7 | 1 | 1 | yes | characteristic |
| 363 | #525 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 364 | C4×#41 | — | 7 | 1 | no | — |
| 365 | C4×#41 | — | 7 | 1 | no | — |
| 366 | C4×#41 | — | 14 | 2 | no | — |
| 367 | C22×C42 | — | 7 | 1 | no | — |
| 368 | #458 | — | 14 | 2 | no | — |
| 369 | B(4,𝔽2) | — | 14 | 2 | no | — |
| 370 | #456 | — | 14 | 1 | no | — |
| 371 | #455 | — | 14 | 1 | no | — |
| 372 | #454 | — | 14 | 1 | no | — |
| 373 | #453 | — | 14 | 1 | no | — |
| 374 | #421 | — | 7 | 1 | no | — |
| 375 | #421 | — | 7 | 1 | no | — |
| 376 | #421 | — | 14 | 2 | no | — |
| 377 | #421 | C2×D7 | 1 | 1 | yes | characteristic |
| 378 | #421 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 379 | C2×#104 | — | 7 | 1 | no | — |
| 380 | C2×#104 | — | 7 | 1 | no | — |
| 381 | C2×#104 | — | 7 | 1 | no | — |
| 382 | C2×#104 | — | 7 | 1 | no | — |
| 383 | C2×#104 | — | 14 | 2 | no | — |
| 384 | #413 | — | 7 | 1 | no | — |
| 385 | #410 | — | 7 | 1 | no | — |
| 386 | #410 | — | 7 | 1 | no | — |
| 387 | #410 | — | 7 | 1 | no | — |
| 388 | #407 | — | 7 | 1 | no | — |
| 389 | #407 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 390 | #344 | — | 7 | 1 | no | — |
| 391 | #344 | — | 7 | 1 | no | — |
| 392 | #339 | — | 7 | 1 | no | — |
| 393 | #339 | — | 7 | 1 | no | — |
| 394 | #339 | — | 7 | 1 | no | — |
| 395 | #339 | — | 7 | 1 | no | — |
| 396 | H(3,ℤ/4) | — | 7 | 1 | no | — |
| 397 | H(3,ℤ/4) | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 398 | C23×C7 | — | 2 | 1 | no | — |
| 399 | C23×C7 | — | 2 | 1 | no | — |
| 400 | C23×C7 | — | 2 | 1 | no | — |
| 401 | C23×C7 | — | 2 | 1 | no | — |
| 402 | C23×C7 | — | 2 | 1 | no | — |
| 403 | C23×C7 | — | 4 | 2 | no | — |
| 404 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 405 | C22×D7 | — | 2 | 1 | no | — |
| 406 | C22×D7 | — | 4 | 2 | no | — |
| 407 | C22×D7 | #120 | 1 | 2 | yes | — |
| 408 | C7×Q8 | — | 2 | 1 | no | — |
| 409 | C7×Q8 | — | 2 | 1 | no | — |
| 410 | C7×Q8 | — | 2 | 1 | no | — |
| 411 | C7×Q8 | — | 2 | 1 | no | — |
| 412 | C7×D4 | — | 2 | 1 | no | — |
| 413 | C7×D4 | — | 2 | 1 | no | — |
| 414 | C7×D4 | — | 2 | 1 | no | — |
| 415 | C7×D4 | — | 2 | 1 | no | — |
| 416 | C7×D4 | — | 4 | 4 | no | — |
| 417 | C7×D4 | — | 4 | 1 | no | — |
| 418 | C7×D4 | — | 4 | 1 | no | — |
| 419 | C7×D4 | — | 4 | 1 | no | — |
| 420 | C7×D4 | — | 4 | 1 | no | — |
| 421 | C7×D4 | — | 8 | 2 | no | — |
| 422 | C2×C4×C7 | — | 2 | 1 | no | — |
| 423 | C2×C4×C7 | — | 2 | 1 | no | — |
| 424 | C2×C4×C7 | — | 2 | 2 | no | — |
| 425 | C2×C4×C7 | — | 2 | 1 | no | — |
| 426 | C2×C4×C7 | — | 2 | 1 | no | — |
| 427 | C2×C4×C7 | — | 2 | 1 | no | — |
| 428 | C2×C4×C7 | — | 4 | 1 | no | — |
| 429 | C2×C4×C7 | — | 4 | 1 | no | — |
| 430 | C2×C4×C7 | — | 4 | 1 | no | — |
| 431 | C2×C4×C7 | — | 4 | 1 | no | — |
| 432 | C2×C4×C7 | — | 4 | 1 | no | — |
| 433 | C2×C4×C7 | — | 4 | 1 | no | — |
| 434 | C2×C4×C7 | — | 4 | 1 | no | — |
| 435 | C2×C4×C7 | — | 4 | 1 | no | — |
| 436 | C2×C4×C7 | — | 4 | 1 | no | — |
| 437 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 438 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 439 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 440 | C2×C4×C7 | C2×#41 | 1 | 1 | yes | characteristic |
| 441 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 442 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 443 | C22⋊D7 | — | 2 | 2 | no | — |
| 444 | C22⋊D7 | — | 2 | 2 | no | — |
| 445 | C22⋊D7 | — | 4 | 2 | no | — |
| 446 | C22⋊D7 | — | 4 | 4 | no | — |
| 447 | C22⋊D7 | — | 4 | 2 | no | — |
| 448 | C22⋊D7 | — | 4 | 4 | no | — |
| 449 | C22⋊D7 | — | 4 | 1 | no | — |
| 450 | C22⋊D7 | — | 4 | 1 | no | — |
| 451 | C22⋊D7 | — | 8 | 2 | no | — |
| 452 | C2×Dic7 | — | 2 | 4 | no | — |
| 453 | C2×Dic7 | — | 2 | 1 | no | — |
| 454 | C2×Dic7 | — | 2 | 1 | no | — |
| 455 | C2×Dic7 | — | 2 | 1 | no | — |
| 456 | C2×Dic7 | — | 2 | 1 | no | — |
| 457 | C2×Dic7 | — | 2 | 2 | no | — |
| 458 | C2×Dic7 | — | 2 | 1 | no | — |
| 459 | C2×Dic7 | — | 4 | 2 | no | — |
| 460 | C2×Dic7 | — | 4 | 4 | no | — |
| 461 | C2×Dic7 | — | 4 | 2 | no | — |
| 462 | C2×Dic7 | — | 4 | 2 | no | — |
| 463 | C2×Dic7 | — | 4 | 2 | no | — |
| 464 | C2×Dic7 | — | 4 | 2 | no | — |
| 465 | C2×Dic7 | — | 4 | 2 | no | — |
| 466 | C2×Dic7 | — | 4 | 1 | no | — |
| 467 | C2×Dic7 | #120 | 1 | 2 | yes | — |
| 468 | D28 | — | 2 | 1 | no | — |
| 469 | D28 | — | 2 | 1 | no | — |
| 470 | D28 | — | 2 | 1 | no | — |
| 471 | D28 | — | 2 | 1 | no | — |
| 472 | D28 | — | 4 | 2 | no | — |
| 473 | C4×D7 | — | 2 | 2 | no | — |
| 474 | C4×D7 | — | 2 | 2 | no | — |
| 475 | C4×D7 | — | 4 | 4 | no | — |
| 476 | C4×D7 | — | 4 | 2 | no | — |
| 477 | C4×D7 | — | 4 | 2 | no | — |
| 478 | C4×D7 | — | 4 | 1 | no | — |
| 479 | C4×D7 | — | 4 | 1 | no | — |
| 480 | Dic14 | — | 2 | 1 | no | — |
| 481 | Dic14 | — | 2 | 1 | no | — |
| 482 | Dic14 | — | 2 | 1 | no | — |
| 483 | Dic14 | — | 2 | 1 | no | — |
| 484 | Dic14 | — | 4 | 4 | no | — |
| 485 | Dic14 | — | 4 | 2 | no | — |
| 486 | C7×C8 | — | 4 | 1 | no | — |
| 487 | C7×C8 | — | 4 | 1 | no | — |
| 488 | C7⋊C8 | — | 4 | 1 | no | — |
| 489 | C7⋊C8 | — | 4 | 1 | no | — |
| 490 | 2−1+4 | — | 14 | 1 | no | — |
| 491 | 2−1+4 | — | 14 | 1 | no | — |
| 492 | 2−1+4 | — | 14 | 1 | no | — |
| 493 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 494 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 495 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 496 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 497 | C2×#41 | — | 7 | 1 | no | — |
| 498 | C2×#41 | — | 7 | 1 | no | — |
| 499 | C2×#41 | — | 14 | 2 | no | — |
| 500 | C2×#41 | — | 14 | 2 | no | — |
| 501 | C2×#41 | — | 28 | 1 | no | — |
| 502 | C2×#41 | — | 28 | 1 | no | — |
| 503 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 504 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 505 | C23×C4 | — | 14 | 1 | no | — |
| 506 | C23×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 507 | #137 | — | 2 | 1 | no | — |
| 508 | #137 | — | 2 | 1 | no | — |
| 509 | #137 | — | 14 | 1 | no | — |
| 510 | #137 | — | 14 | 1 | no | — |
| 511 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 512 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 513 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 514 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 515 | #135 | — | 4 | 1 | no | — |
| 516 | #135 | — | 28 | 1 | no | — |
| 517 | #131 | — | 28 | 1 | no | — |
| 518 | #131 | — | 28 | 1 | no | — |
| 519 | C2×M16 | — | 7 | 1 | no | — |
| 520 | C2×M16 | — | 7 | 1 | no | — |
| 521 | C2×M16 | — | 14 | 2 | no | — |
| 522 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 523 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 524 | C4⋊Q8 | — | 7 | 1 | no | — |
| 525 | C4⋊Q8 | — | 14 | 1 | no | — |
| 526 | #127 | — | 7 | 1 | no | — |
| 527 | #126 | — | 14 | 2 | no | — |
| 528 | #126 | — | 14 | 2 | no | — |
| 529 | #125 | — | 14 | 1 | no | — |
| 530 | #125 | — | 14 | 2 | no | — |
| 531 | #124 | — | 7 | 1 | no | — |
| 532 | #124 | — | 7 | 1 | no | — |
| 533 | #124 | — | 14 | 2 | no | — |
| 534 | #123 | — | 2 | 1 | no | — |
| 535 | #123 | — | 2 | 1 | no | — |
| 536 | #123 | — | 7 | 2 | no | — |
| 537 | #123 | — | 14 | 2 | no | — |
| 538 | #123 | — | 14 | 2 | no | — |
| 539 | #123 | — | 14 | 1 | no | — |
| 540 | C22⋊Q8 | — | 2 | 1 | no | — |
| 541 | C22⋊Q8 | — | 2 | 1 | no | — |
| 542 | C22⋊Q8 | — | 14 | 2 | no | — |
| 543 | C22⋊Q8 | — | 14 | 2 | no | — |
| 544 | C22⋊Q8 | — | 14 | 1 | no | — |
| 545 | C22⋊Q8 | — | 14 | 1 | no | — |
| 546 | #121 | — | 2 | 1 | no | — |
| 547 | #121 | — | 2 | 1 | no | — |
| 548 | #121 | — | 14 | 1 | no | — |
| 549 | #121 | — | 14 | 2 | no | — |
| 550 | #121 | — | 14 | 2 | no | — |
| 551 | #121 | — | 14 | 1 | no | — |
| 552 | #120 | — | 2 | 1 | no | — |
| 553 | #120 | — | 2 | 1 | no | — |
| 554 | #120 | — | 7 | 2 | no | — |
| 555 | #120 | — | 14 | 1 | no | — |
| 556 | C4×Q8 | — | 14 | 1 | no | — |
| 557 | C4×Q8 | — | 14 | 2 | no | — |
| 558 | C4×Q8 | — | 14 | 1 | no | — |
| 559 | C4×Q8 | — | 14 | 2 | no | — |
| 560 | C4×D4 | — | 2 | 2 | no | — |
| 561 | C4×D4 | — | 4 | 1 | no | — |
| 562 | C4×D4 | — | 14 | 2 | no | — |
| 563 | C4×D4 | — | 14 | 2 | no | — |
| 564 | C4×D4 | — | 14 | 2 | no | — |
| 565 | C4×D4 | — | 14 | 2 | no | — |
| 566 | C4×D4 | — | 14 | 1 | no | — |
| 567 | C4×D4 | — | 14 | 2 | no | — |
| 568 | C4×D4 | — | 14 | 2 | no | — |
| 569 | C4×D4 | — | 14 | 2 | no | — |
| 570 | C4×D4 | — | 14 | 1 | no | — |
| 571 | C4×D4 | — | 28 | 1 | no | — |
| 572 | #117 | — | 7 | 2 | no | — |
| 573 | #117 | — | 7 | 1 | no | — |
| 574 | #117 | — | 7 | 1 | no | — |
| 575 | #117 | — | 14 | 1 | no | — |
| 576 | #117 | — | 14 | 2 | no | — |
| 577 | #117 | — | 14 | 2 | no | — |
| 578 | #117 | — | 14 | 2 | no | — |
| 579 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 580 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 581 | C2×C42 | — | 7 | 1 | no | — |
| 582 | C2×C42 | — | 7 | 1 | no | — |
| 583 | C2×C42 | — | 7 | 2 | no | — |
| 584 | C2×C42 | — | 14 | 1 | no | — |
| 585 | C2×C42 | — | 14 | 1 | no | — |
| 586 | C2×C42 | — | 14 | 1 | no | — |
| 587 | C2×C42 | — | 14 | 1 | no | — |
| 588 | C2×C42 | — | 14 | 1 | no | — |
| 589 | C2×C42 | — | 14 | 1 | no | — |
| 590 | #104 | — | 2 | 2 | no | — |
| 591 | #104 | — | 4 | 1 | no | — |
| 592 | #104 | — | 14 | 1 | no | — |
| 593 | #104 | — | 14 | 1 | no | — |
| 594 | #104 | — | 14 | 1 | no | — |
| 595 | #104 | — | 14 | 1 | no | — |
| 596 | #104 | — | 14 | 1 | no | — |
| 597 | #104 | — | 14 | 1 | no | — |
| 598 | #104 | — | 14 | 1 | no | — |
| 599 | #104 | — | 14 | 1 | no | — |
| 600 | #104 | — | 14 | 2 | no | — |
| 601 | #104 | — | 28 | 1 | no | — |
| 602 | #101 | — | 14 | 1 | no | — |
| 603 | #100 | — | 14 | 1 | no | — |
| 604 | #99 | — | 14 | 2 | no | — |
| 605 | #99 | — | 14 | 2 | no | — |
| 606 | #99 | — | 14 | 2 | no | — |
| 607 | C22⋊C8 | — | 4 | 1 | no | — |
| 608 | C22⋊C8 | — | 28 | 1 | no | — |
| 609 | C22×C7 | — | 2 | 2 | no | — |
| 610 | C22×C7 | — | 2 | 2 | no | — |
| 611 | C22×C7 | — | 2 | 2 | no | — |
| 612 | C22×C7 | — | 4 | 1 | no | — |
| 613 | C22×C7 | — | 4 | 1 | no | — |
| 614 | C22×C7 | — | 4 | 1 | no | — |
| 615 | C22×C7 | — | 4 | 1 | no | — |
| 616 | C22×C7 | — | 4 | 2 | no | — |
| 617 | C22×C7 | — | 4 | 1 | no | — |
| 618 | C22×C7 | — | 4 | 1 | no | — |
| 619 | C22×C7 | — | 4 | 1 | no | — |
| 620 | C22×C7 | — | 8 | 1 | no | — |
| 621 | C22×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 622 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 623 | C22×C7 | #546 | 1 | 1 | yes | characteristic |
| 624 | C2×D7 | — | 2 | 2 | no | — |
| 625 | C2×D7 | — | 4 | 2 | no | — |
| 626 | C2×D7 | — | 4 | 1 | no | — |
| 627 | C2×D7 | — | 8 | 1 | no | — |
| 628 | C2×D7 | — | 16 | 2 | no | — |
| 629 | C4×C7 | — | 4 | 2 | no | — |
| 630 | C4×C7 | — | 4 | 1 | no | — |
| 631 | C4×C7 | — | 4 | 1 | no | — |
| 632 | C4×C7 | — | 4 | 1 | no | — |
| 633 | C4×C7 | — | 8 | 1 | no | — |
| 634 | C4×C7 | #525 | 1 | 1 | yes | characteristic |
| 635 | C4×C7 | #535 | 1 | 1 | yes | characteristic |
| 636 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 637 | C4×C7 | #546 | 1 | 1 | yes | characteristic |
| 638 | Dic7 | — | 2 | 2 | no | — |
| 639 | Dic7 | — | 2 | 2 | no | — |
| 640 | Dic7 | — | 2 | 2 | no | — |
| 641 | Dic7 | — | 4 | 2 | no | — |
| 642 | Dic7 | — | 4 | 1 | no | — |
| 643 | Dic7 | — | 4 | 1 | no | — |
| 644 | Dic7 | — | 4 | 1 | no | — |
| 645 | Dic7 | — | 8 | 1 | no | — |
| 646 | C24 | D4×D7 | 1 | 1 | yes | characteristic |
| 647 | #41 | — | 2 | 1 | no | — |
| 648 | #41 | — | 2 | 1 | no | — |
| 649 | #41 | — | 2 | 1 | no | — |
| 650 | #41 | — | 2 | 1 | no | — |
| 651 | #41 | — | 2 | 1 | no | — |
| 652 | #41 | — | 2 | 1 | no | — |
| 653 | #41 | — | 2 | 1 | no | — |
| 654 | #41 | — | 2 | 1 | no | — |
| 655 | #41 | — | 14 | 1 | no | — |
| 656 | #41 | — | 14 | 1 | no | — |
| 657 | #41 | — | 14 | 1 | no | — |
| 658 | #41 | — | 14 | 1 | no | — |
| 659 | #41 | — | 14 | 2 | no | — |
| 660 | #41 | — | 14 | 2 | no | — |
| 661 | #41 | — | 14 | 1 | no | — |
| 662 | #41 | — | 14 | 1 | no | — |
| 663 | #41 | — | 14 | 1 | no | — |
| 664 | #41 | — | 14 | 1 | no | — |
| 665 | #41 | — | 28 | 2 | no | — |
| 666 | #41 | — | 28 | 2 | no | — |
| 667 | #41 | — | 28 | 1 | no | — |
| 668 | #41 | — | 28 | 1 | no | — |
| 669 | #41 | — | 28 | 2 | no | — |
| 670 | #41 | — | 28 | 2 | no | — |
| 671 | #41 | — | 28 | 8 | no | — |
| 672 | #41 | — | 28 | 1 | no | — |
| 673 | #41 | — | 28 | 1 | no | — |
| 674 | C2×Q8 | — | 7 | 1 | no | — |
| 675 | C2×Q8 | — | 7 | 1 | no | — |
| 676 | C2×Q8 | — | 14 | 2 | no | — |
| 677 | C2×Q8 | — | 14 | 2 | no | — |
| 678 | C2×Q8 | — | 28 | 1 | no | — |
| 679 | C2×Q8 | — | 28 | 1 | no | — |
| 680 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 681 | C2×Q8 | #1159 | 1 | 1 | yes | characteristic, complemented |
| 682 | C2×D4 | — | 2 | 2 | no | — |
| 683 | C2×D4 | — | 2 | 1 | no | — |
| 684 | C2×D4 | — | 2 | 1 | no | — |
| 685 | C2×D4 | — | 4 | 1 | no | — |
| 686 | C2×D4 | — | 7 | 2 | no | — |
| 687 | C2×D4 | — | 7 | 1 | no | — |
| 688 | C2×D4 | — | 7 | 1 | no | — |
| 689 | C2×D4 | — | 14 | 2 | no | — |
| 690 | C2×D4 | — | 14 | 2 | no | — |
| 691 | C2×D4 | — | 14 | 2 | no | — |
| 692 | C2×D4 | — | 14 | 1 | no | — |
| 693 | C2×D4 | — | 28 | 1 | no | — |
| 694 | C2×D4 | — | 28 | 1 | no | — |
| 695 | C2×D4 | — | 28 | 2 | no | — |
| 696 | C2×D4 | — | 28 | 2 | no | — |
| 697 | C2×D4 | — | 28 | 2 | no | — |
| 698 | C2×D4 | — | 28 | 1 | no | — |
| 699 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 700 | C2×D4 | #1159 | 1 | 1 | yes | characteristic, complemented |
| 701 | C22×C4 | — | 2 | 1 | no | — |
| 702 | C22×C4 | — | 2 | 1 | no | — |
| 703 | C22×C4 | — | 2 | 1 | no | — |
| 704 | C22×C4 | — | 2 | 1 | no | — |
| 705 | C22×C4 | — | 2 | 1 | no | — |
| 706 | C22×C4 | — | 2 | 1 | no | — |
| 707 | C22×C4 | — | 2 | 1 | no | — |
| 708 | C22×C4 | — | 2 | 1 | no | — |
| 709 | C22×C4 | — | 7 | 2 | no | — |
| 710 | C22×C4 | — | 14 | 2 | no | — |
| 711 | C22×C4 | — | 14 | 1 | no | — |
| 712 | C22×C4 | — | 14 | 1 | no | — |
| 713 | C22×C4 | — | 14 | 1 | no | — |
| 714 | C22×C4 | — | 14 | 1 | no | — |
| 715 | C22×C4 | — | 14 | 2 | no | — |
| 716 | C22×C4 | — | 14 | 1 | no | — |
| 717 | C22×C4 | — | 14 | 1 | no | — |
| 718 | C22×C4 | — | 14 | 1 | no | — |
| 719 | C22×C4 | — | 28 | 2 | no | — |
| 720 | C22×C4 | — | 28 | 4 | no | — |
| 721 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 722 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 723 | Q16 | — | 4 | 1 | no | — |
| 724 | Q16 | — | 28 | 1 | no | — |
| 725 | SD16 | — | 4 | 1 | no | — |
| 726 | SD16 | — | 4 | 1 | no | — |
| 727 | SD16 | — | 28 | 1 | no | — |
| 728 | SD16 | — | 28 | 1 | no | — |
| 729 | D8 | — | 4 | 1 | no | — |
| 730 | D8 | — | 28 | 1 | no | — |
| 731 | M16 | — | 2 | 1 | no | — |
| 732 | M16 | — | 2 | 1 | no | — |
| 733 | M16 | — | 2 | 1 | no | — |
| 734 | M16 | — | 2 | 1 | no | — |
| 735 | M16 | — | 14 | 1 | no | — |
| 736 | M16 | — | 14 | 1 | no | — |
| 737 | M16 | — | 14 | 1 | no | — |
| 738 | M16 | — | 14 | 1 | no | — |
| 739 | M16 | — | 28 | 2 | no | — |
| 740 | C2×C8 | — | 2 | 1 | no | — |
| 741 | C2×C8 | — | 2 | 1 | no | — |
| 742 | C2×C8 | — | 14 | 1 | no | — |
| 743 | C2×C8 | — | 14 | 1 | no | — |
| 744 | C2×C8 | — | 28 | 2 | no | — |
| 745 | C4⋊C4 | — | 2 | 2 | no | — |
| 746 | C4⋊C4 | — | 2 | 1 | no | — |
| 747 | C4⋊C4 | — | 2 | 1 | no | — |
| 748 | C4⋊C4 | — | 4 | 1 | no | — |
| 749 | C4⋊C4 | — | 14 | 2 | no | — |
| 750 | C4⋊C4 | — | 14 | 2 | no | — |
| 751 | C4⋊C4 | — | 14 | 2 | no | — |
| 752 | C4⋊C4 | — | 14 | 2 | no | — |
| 753 | C4⋊C4 | — | 14 | 2 | no | — |
| 754 | C4⋊C4 | — | 14 | 2 | no | — |
| 755 | C4⋊C4 | — | 14 | 2 | no | — |
| 756 | C4⋊C4 | — | 14 | 1 | no | — |
| 757 | C4⋊C4 | — | 14 | 1 | no | — |
| 758 | C4⋊C4 | — | 28 | 1 | no | — |
| 759 | C22⋊C4 | — | 2 | 2 | no | — |
| 760 | C22⋊C4 | — | 2 | 2 | no | — |
| 761 | C22⋊C4 | — | 2 | 1 | no | — |
| 762 | C22⋊C4 | — | 2 | 1 | no | — |
| 763 | C22⋊C4 | — | 4 | 1 | no | — |
| 764 | C22⋊C4 | — | 4 | 1 | no | — |
| 765 | C22⋊C4 | — | 7 | 2 | no | — |
| 766 | C22⋊C4 | — | 14 | 2 | no | — |
| 767 | C22⋊C4 | — | 14 | 2 | no | — |
| 768 | C22⋊C4 | — | 14 | 2 | no | — |
| 769 | C22⋊C4 | — | 14 | 2 | no | — |
| 770 | C22⋊C4 | — | 14 | 2 | no | — |
| 771 | C22⋊C4 | — | 14 | 2 | no | — |
| 772 | C22⋊C4 | — | 14 | 1 | no | — |
| 773 | C22⋊C4 | — | 28 | 1 | no | — |
| 774 | C22⋊C4 | — | 28 | 1 | no | — |
| 775 | C42 | — | 2 | 1 | no | — |
| 776 | C42 | — | 7 | 1 | no | — |
| 777 | C42 | — | 7 | 1 | no | — |
| 778 | C42 | — | 7 | 1 | no | — |
| 779 | C42 | — | 7 | 1 | no | — |
| 780 | C42 | — | 14 | 2 | no | — |
| 781 | C42 | — | 14 | 1 | no | — |
| 782 | C42 | — | 14 | 1 | no | — |
| 783 | C42 | — | 14 | 1 | no | — |
| 784 | C42 | — | 14 | 1 | no | — |
| 785 | C42 | — | 14 | 2 | no | — |
| 786 | C42 | — | 14 | 1 | no | — |
| 787 | C42 | — | 14 | 1 | no | — |
| 788 | C42 | — | 14 | 1 | no | — |
| 789 | C42 | — | 14 | 1 | no | — |
| 790 | C42 | D4×D7 | 1 | 2 | yes | — |
| 791 | C2×C7 | — | 2 | 1 | no | — |
| 792 | C2×C7 | — | 2 | 1 | no | — |
| 793 | C2×C7 | — | 2 | 1 | no | — |
| 794 | C2×C7 | — | 4 | 2 | no | — |
| 795 | C2×C7 | — | 8 | 1 | no | — |
| 796 | C2×C7 | — | 8 | 1 | no | — |
| 797 | C2×C7 | #2404 | 1 | 1 | yes | characteristic |
| 798 | D7 | — | 4 | 2 | no | — |
| 799 | D7 | — | 8 | 1 | no | — |
| 800 | C23 | — | 2 | 1 | no | — |
| 801 | C23 | — | 2 | 1 | no | — |
| 802 | C23 | — | 2 | 1 | no | — |
| 803 | C23 | — | 2 | 1 | no | — |
| 804 | C23 | — | 2 | 1 | no | — |
| 805 | C23 | — | 4 | 2 | no | — |
| 806 | C23 | — | 7 | 2 | no | — |
| 807 | C23 | — | 14 | 1 | no | — |
| 808 | C23 | — | 28 | 2 | no | — |
| 809 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 810 | Q8 | — | 2 | 1 | no | — |
| 811 | Q8 | — | 2 | 1 | no | — |
| 812 | Q8 | — | 2 | 1 | no | — |
| 813 | Q8 | — | 2 | 1 | no | — |
| 814 | Q8 | — | 14 | 1 | no | — |
| 815 | Q8 | — | 14 | 1 | no | — |
| 816 | Q8 | — | 14 | 1 | no | — |
| 817 | Q8 | — | 14 | 1 | no | — |
| 818 | Q8 | — | 28 | 2 | no | — |
| 819 | Q8 | — | 28 | 4 | no | — |
| 820 | D4 | — | 2 | 1 | no | — |
| 821 | D4 | — | 2 | 1 | no | — |
| 822 | D4 | — | 2 | 1 | no | — |
| 823 | D4 | — | 2 | 1 | no | — |
| 824 | D4 | — | 4 | 4 | no | — |
| 825 | D4 | — | 4 | 1 | no | — |
| 826 | D4 | — | 4 | 1 | no | — |
| 827 | D4 | — | 4 | 1 | no | — |
| 828 | D4 | — | 4 | 1 | no | — |
| 829 | D4 | — | 8 | 2 | no | — |
| 830 | D4 | — | 14 | 2 | no | — |
| 831 | D4 | — | 14 | 2 | no | — |
| 832 | D4 | — | 14 | 1 | no | — |
| 833 | D4 | — | 14 | 1 | no | — |
| 834 | D4 | — | 14 | 1 | no | — |
| 835 | D4 | — | 14 | 1 | no | — |
| 836 | D4 | — | 28 | 2 | no | — |
| 837 | D4 | — | 28 | 2 | no | — |
| 838 | D4 | — | 28 | 4 | no | — |
| 839 | D4 | — | 28 | 4 | no | — |
| 840 | D4 | — | 28 | 2 | no | — |
| 841 | D4 | — | 28 | 1 | no | — |
| 842 | D4 | — | 28 | 1 | no | — |
| 843 | D4 | — | 56 | 2 | no | — |
| 844 | C2×C4 | — | 2 | 1 | no | — |
| 845 | C2×C4 | — | 2 | 1 | no | — |
| 846 | C2×C4 | — | 2 | 2 | no | — |
| 847 | C2×C4 | — | 2 | 1 | no | — |
| 848 | C2×C4 | — | 2 | 1 | no | — |
| 849 | C2×C4 | — | 2 | 1 | no | — |
| 850 | C2×C4 | — | 4 | 1 | no | — |
| 851 | C2×C4 | — | 4 | 1 | no | — |
| 852 | C2×C4 | — | 4 | 1 | no | — |
| 853 | C2×C4 | — | 4 | 1 | no | — |
| 854 | C2×C4 | — | 4 | 1 | no | — |
| 855 | C2×C4 | — | 4 | 1 | no | — |
| 856 | C2×C4 | — | 4 | 1 | no | — |
| 857 | C2×C4 | — | 4 | 1 | no | — |
| 858 | C2×C4 | — | 4 | 1 | no | — |
| 859 | C2×C4 | — | 7 | 2 | no | — |
| 860 | C2×C4 | — | 14 | 4 | no | — |
| 861 | C2×C4 | — | 14 | 1 | no | — |
| 862 | C2×C4 | — | 14 | 1 | no | — |
| 863 | C2×C4 | — | 14 | 2 | no | — |
| 864 | C2×C4 | — | 14 | 2 | no | — |
| 865 | C2×C4 | — | 14 | 1 | no | — |
| 866 | C2×C4 | — | 14 | 1 | no | — |
| 867 | C2×C4 | — | 14 | 2 | no | — |
| 868 | C2×C4 | — | 14 | 1 | no | — |
| 869 | C2×C4 | — | 28 | 4 | no | — |
| 870 | C2×C4 | — | 28 | 2 | no | — |
| 871 | C2×C4 | — | 28 | 2 | no | — |
| 872 | C2×C4 | — | 28 | 2 | no | — |
| 873 | C2×C4 | — | 28 | 2 | no | — |
| 874 | C2×C4 | — | 28 | 2 | no | — |
| 875 | C2×C4 | — | 28 | 2 | no | — |
| 876 | C2×C4 | — | 28 | 4 | no | — |
| 877 | C2×C4 | — | 28 | 2 | no | — |
| 878 | C2×C4 | — | 28 | 2 | no | — |
| 879 | C2×C4 | — | 28 | 1 | no | — |
| 880 | C2×C4 | — | 28 | 1 | no | — |
| 881 | C2×C4 | — | 28 | 1 | no | — |
| 882 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 883 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 884 | C2×C4 | C2×#1159 | 1 | 1 | yes | characteristic |
| 885 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 886 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 887 | C2×C4 | D7×#41 | 1 | 1 | yes | characteristic |
| 888 | C8 | — | 4 | 1 | no | — |
| 889 | C8 | — | 4 | 1 | no | — |
| 890 | C8 | — | 28 | 1 | no | — |
| 891 | C8 | — | 28 | 1 | no | — |
| 892 | C7 | #23994 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 893 | C22 | — | 2 | 2 | no | — |
| 894 | C22 | — | 2 | 2 | no | — |
| 895 | C22 | — | 2 | 2 | no | — |
| 896 | C22 | — | 4 | 1 | no | — |
| 897 | C22 | — | 4 | 1 | no | — |
| 898 | C22 | — | 4 | 1 | no | — |
| 899 | C22 | — | 4 | 1 | no | — |
| 900 | C22 | — | 4 | 2 | no | — |
| 901 | C22 | — | 4 | 1 | no | — |
| 902 | C22 | — | 4 | 1 | no | — |
| 903 | C22 | — | 4 | 1 | no | — |
| 904 | C22 | — | 8 | 1 | no | — |
| 905 | C22 | — | 14 | 2 | no | — |
| 906 | C22 | — | 28 | 2 | no | — |
| 907 | C22 | — | 28 | 1 | no | — |
| 908 | C22 | — | 56 | 1 | no | — |
| 909 | C22 | — | 112 | 2 | no | — |
| 910 | C22 | D7×#120 | 1 | 1 | yes | characteristic |
| 911 | C22 | #90282 | 1 | 1 | yes | characteristic |
| 912 | C22 | #90301 | 1 | 1 | yes | characteristic |
| 913 | C4 | — | 4 | 2 | no | — |
| 914 | C4 | — | 4 | 1 | no | — |
| 915 | C4 | — | 4 | 1 | no | — |
| 916 | C4 | — | 4 | 1 | no | — |
| 917 | C4 | — | 8 | 1 | no | — |
| 918 | C4 | — | 14 | 2 | no | — |
| 919 | C4 | — | 14 | 2 | no | — |
| 920 | C4 | — | 14 | 2 | no | — |
| 921 | C4 | — | 28 | 1 | no | — |
| 922 | C4 | — | 28 | 1 | no | — |
| 923 | C4 | — | 28 | 2 | no | — |
| 924 | C4 | — | 28 | 1 | no | — |
| 925 | C4 | — | 56 | 1 | no | — |
| 926 | C4 | #90282 | 1 | 1 | yes | characteristic |
| 927 | C4 | #90297 | 1 | 1 | yes | characteristic |
| 928 | C4 | #90301 | 1 | 1 | yes | characteristic |
| 929 | C4 | #90406 | 1 | 1 | yes | characteristic |
| 930 | C2 | — | 2 | 1 | no | — |
| 931 | C2 | — | 2 | 1 | no | — |
| 932 | C2 | — | 2 | 1 | no | — |
| 933 | C2 | — | 4 | 2 | no | — |
| 934 | C2 | — | 8 | 1 | no | — |
| 935 | C2 | — | 8 | 1 | no | — |
| 936 | C2 | — | 28 | 2 | no | — |
| 937 | C2 | — | 56 | 1 | no | — |
| 938 | C2 | #11734199 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743086 | C2 | semidirect |
| 2. #11741449 | C2 | semidirect |
| 3. #11740381 | C2 | semidirect |
| 4. #11736437 | C2 | semidirect |
| 5. C7×#2010 | C2 | semidirect |
| 6. #11729868 | C2 | semidirect |
| 7. #11729469 | C2 | semidirect |
| 8. #11729465 | C2 | semidirect |
| 9. #11728171 | C2 | semidirect |
| 10. #11728149 | C2 | semidirect |
| 11. #11728148 | C2 | semidirect |
| 12. #11727746 | C2 | semidirect |
| 13. #11727719 | C2 | semidirect |
| 14. #11726468 | C2 | semidirect |
| 15. #11726465 | C2 | semidirect |
| 19. C7×#525 | C22 | semidirect |
| 21. #41×Dic7 | C22 | semidirect |
| 25. C22×C4×Dic7 | C22 | semidirect |
| 36. #90208 | C22 | semidirect |
| 38. C7×#421 | C22 | semidirect |
| 39. C7×#407 | C22 | semidirect |
| 41. #90008 | C22 | semidirect |
| 44. #89979 | C22 | semidirect |
| 59. C7×H(3,ℤ/4) | C22 | semidirect |
| 60. #89354 | C22 | semidirect |
| 61. #89351 | C22 | semidirect |
| 62. #89350 | C22 | semidirect |
| 63. #89350 | C22 | semidirect |
| 64. #89327 | C22 | semidirect |
| 65. #89327 | C22 | semidirect |
| 66. #89326 | C22 | semidirect |
| 109. #6510 | D4 | semidirect |
| 111. #6507 | D4 | semidirect |
| 113. #6503 | D4 | semidirect |
| 116. #6499 | D4 | semidirect |
| 165. #6435 | D4 | semidirect |
| 166. C42×D7 | D4 | semidirect |
| 194. #2010 | D7 | semidirect |
| 212. C2×C7×Q8 | #41 | semidirect |
| 218. C2×C7×D4 | #41 | semidirect |
| 270. C2×D28 | #41 | semidirect |
| 278. C2×Dic14 | #41 | semidirect |
| 363. #525 | C2×D7 | semidirect |
| 378. #421 | C2×D7 | semidirect |
| 389. #407 | C2×D7 | semidirect |
| 397. H(3,ℤ/4) | C2×D7 | semidirect |
| 681. C2×Q8 | #1159 | semidirect |
| 700. C2×D4 | #1159 | semidirect |
| 892. C7 | #23994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11743086 | 2 |
| #11741449 | 2 |
| #11740381 | 2 |
| #11736437 | 2 |
| C7×#2010 | 2 |
| #11729868 | 2 |
| #11729469 | 2 |
| #11729465 | 2 |
| #11728171 | 2 |
| #11728149 | 2 |
| #11728148 | 2 |
| #11727746 | 2 |
| #11727719 | 2 |
| #11726468 | 2 |
| #11726465 | 2 |
| #23994 | 7 |