Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1096 conjugacy classes of subgroups.
The subgroup lattice has 744 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11743120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C7×#3194 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11740167 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11740070 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11729464 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11728927 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #11728918 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #11728731 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11728722 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11727732 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11727724 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C7×#525 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×C7×#121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 14 | #90521 | — | 2 | 1 | no | — |
| 15 | C2×#6493 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#6493 | C22 | 1 | 1 | yes | characteristic |
| 17 | #90357 | — | 2 | 2 | no | — |
| 18 | #90335 | — | 2 | 1 | no | — |
| 19 | #90335 | C22 | 1 | 2 | yes | — |
| 20 | #90296 | — | 2 | 1 | no | — |
| 21 | #90296 | C22 | 1 | 2 | yes | — |
| 22 | #90281 | — | 2 | 2 | no | — |
| 23 | #90256 | — | 2 | 1 | no | — |
| 24 | #90256 | — | 2 | 1 | no | — |
| 25 | D4×D28 | — | 2 | 1 | no | — |
| 26 | D4×D28 | — | 2 | 1 | no | — |
| 27 | #90226 | — | 2 | 1 | no | — |
| 28 | C7×#483 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C7×#482 | — | 2 | 1 | no | — |
| 30 | C7×#480 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C7×#469 | — | 2 | 1 | no | — |
| 32 | C7×#468 | — | 2 | 1 | no | — |
| 33 | C7×#450 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C7×#449 | — | 2 | 1 | no | — |
| 35 | C7×#447 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C7×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #89995 | — | 2 | 2 | no | — |
| 38 | #89995 | C22 | 1 | 2 | yes | complemented |
| 39 | #89989 | C22 | 1 | 2 | yes | complemented |
| 40 | #89983 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×C22⋊(C7⋊C8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #89810 | — | 2 | 2 | no | — |
| 43 | #89808 | — | 2 | 1 | no | — |
| 44 | #89805 | — | 2 | 1 | no | — |
| 45 | #89765 | C22 | 1 | 2 | yes | complemented |
| 46 | #89739 | C22 | 1 | 2 | yes | complemented |
| 47 | #89732 | — | 2 | 1 | no | — |
| 48 | #89725 | — | 2 | 1 | no | — |
| 49 | #89333 | C22 | 1 | 2 | yes | complemented |
| 50 | #89332 | C22 | 1 | 2 | yes | complemented |
| 51 | #89265 | C22 | 1 | 2 | yes | complemented |
| 52 | #89265 | C22 | 1 | 2 | yes | complemented |
| 53 | #89263 | C22 | 1 | 2 | yes | complemented |
| 54 | #89263 | C22 | 1 | 2 | yes | complemented |
| 55 | #18450 | — | 7 | 1 | no | maximal, Sylow |
| 56 | C2×C7×#41 | D4 | 1 | 1 | yes | characteristic, complemented |
| 57 | C22×C7×D4 | — | 2 | 1 | no | — |
| 58 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 59 | C23×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 60 | C22×C22⋊D7 | — | 2 | 1 | no | — |
| 61 | C22×C22⋊D7 | — | 2 | 2 | no | — |
| 62 | C22×C22⋊D7 | D4 | 1 | 2 | yes | — |
| 63 | C2×D4×D7 | — | 2 | 2 | no | — |
| 64 | C2×D4×D7 | — | 2 | 2 | no | — |
| 65 | C22×D28 | — | 2 | 1 | no | — |
| 66 | C22×D28 | D4 | 1 | 1 | yes | characteristic |
| 67 | C22×D28 | D4 | 1 | 1 | yes | characteristic, complemented |
| 68 | C2×C7×SD16 | — | 2 | 1 | no | — |
| 69 | C2×C7×D8 | — | 2 | 1 | no | — |
| 70 | C2×C7×M16 | — | 2 | 1 | no | — |
| 71 | C7×#123 | — | 2 | 1 | no | — |
| 72 | C7×C22⋊Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 73 | C7×C22⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 74 | C7×#121 | — | 2 | 1 | no | — |
| 75 | C7×#121 | — | 2 | 1 | no | — |
| 76 | C7×#121 | — | 2 | 1 | no | — |
| 77 | C7×#121 | — | 2 | 1 | no | — |
| 78 | C7×#121 | D4 | 1 | 1 | yes | characteristic, complemented |
| 79 | C7×#121 | C23 | 1 | 1 | yes | characteristic |
| 80 | C7×#120 | — | 2 | 1 | no | — |
| 81 | C4×C7×D4 | — | 2 | 1 | no | — |
| 82 | C4×C7×D4 | — | 2 | 1 | no | — |
| 83 | C7×#117 | D4 | 1 | 1 | yes | characteristic, complemented |
| 84 | C2×C7×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C7×C22⋊C4 | — | 2 | 1 | no | — |
| 86 | C2×C22⋊Dic7 | — | 2 | 1 | no | — |
| 87 | C2×C22⋊Dic7 | — | 2 | 2 | no | — |
| 88 | #6510 | — | 2 | 2 | no | — |
| 89 | #6503 | — | 2 | 2 | no | — |
| 90 | #6502 | — | 2 | 2 | no | — |
| 91 | #6502 | — | 2 | 2 | no | — |
| 92 | #6500 | — | 2 | 2 | no | — |
| 93 | #6500 | — | 2 | 2 | no | — |
| 94 | C2×#1141 | — | 2 | 2 | no | — |
| 95 | #6493 | — | 2 | 1 | no | — |
| 96 | #6493 | — | 2 | 1 | no | — |
| 97 | #6493 | — | 2 | 1 | no | — |
| 98 | #6493 | — | 2 | 1 | no | — |
| 99 | #6493 | — | 2 | 1 | no | — |
| 100 | #6493 | — | 2 | 1 | no | — |
| 101 | #6493 | — | 2 | 1 | no | — |
| 102 | #6493 | — | 2 | 1 | no | — |
| 103 | #6493 | D4 | 1 | 2 | yes | complemented |
| 104 | #6493 | C23 | 1 | 2 | yes | — |
| 105 | C2×(C2×D7)⋊C4 | — | 2 | 1 | no | — |
| 106 | C2×(C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 107 | C2×(C2×D7)⋊C4 | C23 | 1 | 2 | yes | — |
| 108 | #6489 | — | 2 | 1 | no | — |
| 109 | C2×C4⋊Dic7 | D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C4⋊Dic7 | D4 | 1 | 1 | yes | characteristic, complemented |
| 111 | C22×C7⋊C8 | — | 2 | 1 | no | — |
| 112 | #6461 | — | 2 | 2 | no | — |
| 113 | #6461 | — | 2 | 2 | no | — |
| 114 | #6458 | — | 2 | 2 | no | — |
| 115 | #6458 | — | 2 | 2 | no | — |
| 116 | #6457 | — | 2 | 2 | no | — |
| 117 | #6457 | — | 2 | 2 | no | — |
| 118 | #6447 | — | 2 | 2 | no | — |
| 119 | #6447 | — | 2 | 2 | no | — |
| 120 | #6446 | — | 2 | 2 | no | — |
| 121 | #6446 | — | 2 | 2 | no | — |
| 122 | #6445 | — | 2 | 2 | no | — |
| 123 | #6445 | — | 2 | 2 | no | — |
| 124 | #6445 | — | 2 | 2 | no | — |
| 125 | #6445 | — | 2 | 2 | no | — |
| 126 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 127 | (C22⋊D7)⋊C4 | — | 2 | 2 | no | — |
| 128 | #6437 | — | 2 | 1 | no | — |
| 129 | C4×D28 | — | 2 | 1 | no | — |
| 130 | C4×D28 | — | 2 | 1 | no | — |
| 131 | #6433 | — | 2 | 1 | no | — |
| 132 | C7×#107 | — | 2 | 1 | no | — |
| 133 | C7×#106 | — | 2 | 1 | no | — |
| 134 | C7×#103 | — | 2 | 1 | no | — |
| 135 | C7×#102 | — | 2 | 1 | no | — |
| 136 | C7×#102 | — | 2 | 1 | no | — |
| 137 | C7×#102 | — | 2 | 1 | no | — |
| 138 | C7×C22⋊C8 | — | 2 | 1 | no | — |
| 139 | C7×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 140 | C7×C22⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 141 | #6406 | — | 2 | 2 | no | — |
| 142 | C7⋊#95 | — | 2 | 1 | no | — |
| 143 | C7⋊#95 | — | 2 | 2 | no | — |
| 144 | C7⋊#95 | C23 | 1 | 2 | yes | — |
| 145 | C22⋊(C7⋊C8) | — | 2 | 1 | no | — |
| 146 | C22⋊(C7⋊C8) | C23 | 1 | 2 | yes | — |
| 147 | #6383 | — | 2 | 2 | no | — |
| 148 | #6381 | — | 2 | 2 | no | — |
| 149 | #3537 | — | 7 | 1 | no | — |
| 150 | #3194 | D7 | 1 | 1 | yes | characteristic, complemented |
| 151 | #3186 | — | 7 | 1 | no | — |
| 152 | #2815 | — | 7 | 1 | no | — |
| 153 | #1612 | — | 7 | 2 | no | — |
| 154 | #1607 | — | 7 | 2 | no | — |
| 155 | #1600 | — | 7 | 2 | no | — |
| 156 | #1595 | — | 7 | 2 | no | — |
| 157 | #1516 | — | 7 | 1 | no | — |
| 158 | #1510 | — | 7 | 1 | no | — |
| 159 | #1471 | — | 7 | 1 | no | — |
| 160 | C24×C7 | — | 2 | 1 | no | — |
| 161 | C24×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 162 | C23×D7 | — | 2 | 1 | no | — |
| 163 | C23×D7 | — | 2 | 2 | no | — |
| 164 | C23×D7 | C2×D4 | 1 | 2 | yes | — |
| 165 | C7×#41 | — | 8 | 1 | no | — |
| 166 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | C2×C7×D4 | — | 2 | 1 | no | — |
| 168 | C2×C7×D4 | — | 2 | 1 | no | — |
| 169 | C2×C7×D4 | — | 2 | 1 | no | — |
| 170 | C2×C7×D4 | — | 2 | 1 | no | — |
| 171 | C2×C7×D4 | — | 2 | 1 | no | — |
| 172 | C2×C7×D4 | — | 4 | 1 | no | — |
| 173 | C2×C7×D4 | — | 4 | 1 | no | — |
| 174 | C2×C7×D4 | — | 8 | 1 | no | — |
| 175 | C2×C7×D4 | — | 8 | 2 | no | — |
| 176 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 177 | C22×C4×C7 | — | 2 | 1 | no | — |
| 178 | C22×C4×C7 | — | 2 | 1 | no | — |
| 179 | C22×C4×C7 | — | 8 | 1 | no | — |
| 180 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 183 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 184 | C22×C4×C7 | C2×D4 | 1 | 1 | yes | characteristic |
| 185 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 186 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 187 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 188 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 189 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 190 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 191 | C2×C22⋊D7 | — | 2 | 2 | no | — |
| 192 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 193 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 194 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 195 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 196 | C2×C22⋊D7 | — | 8 | 2 | no | — |
| 197 | C22×Dic7 | — | 2 | 1 | no | — |
| 198 | C22×Dic7 | — | 2 | 2 | no | — |
| 199 | C22×Dic7 | C2×D4 | 1 | 2 | yes | — |
| 200 | D4×D7 | — | 8 | 2 | no | — |
| 201 | D4×D7 | — | 8 | 2 | no | — |
| 202 | D4×D7 | — | 8 | 4 | no | — |
| 203 | C2×D28 | — | 2 | 1 | no | — |
| 204 | C2×D28 | — | 2 | 1 | no | — |
| 205 | C2×D28 | — | 2 | 2 | no | — |
| 206 | C2×D28 | — | 2 | 2 | no | — |
| 207 | C2×D28 | — | 2 | 2 | no | — |
| 208 | C2×D28 | — | 2 | 1 | no | — |
| 209 | C2×D28 | — | 8 | 1 | no | — |
| 210 | C2×D28 | — | 8 | 2 | no | — |
| 211 | C2×D28 | — | 8 | 1 | no | — |
| 212 | C2×D28 | C2×D4 | 1 | 2 | yes | — |
| 213 | C2×C4×D7 | — | 2 | 2 | no | — |
| 214 | C2×C4×D7 | — | 2 | 2 | no | — |
| 215 | C7×SD16 | — | 8 | 1 | no | — |
| 216 | C7×D8 | — | 8 | 1 | no | — |
| 217 | C7×M16 | — | 8 | 1 | no | — |
| 218 | C2×C7×C8 | — | 2 | 1 | no | — |
| 219 | C2×C7×C8 | — | 2 | 1 | no | — |
| 220 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 221 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 222 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 223 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 224 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C7×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 227 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 228 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 229 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 230 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 231 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 232 | C7×C22⋊C4 | — | 4 | 1 | no | — |
| 233 | C42×C7 | — | 2 | 1 | no | — |
| 234 | C22⋊Dic7 | — | 2 | 2 | no | — |
| 235 | C22⋊Dic7 | — | 8 | 2 | no | — |
| 236 | C22⋊Dic7 | — | 8 | 1 | no | — |
| 237 | #1141 | — | 8 | 2 | no | — |
| 238 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 239 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 240 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 241 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 242 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 243 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 244 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 245 | (C2×D7)⋊C4 | — | 2 | 2 | no | — |
| 246 | (C2×D7)⋊C4 | — | 8 | 2 | no | — |
| 247 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 248 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 249 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 250 | C4⋊Dic7 | C2×D4 | 1 | 2 | yes | — |
| 251 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 252 | Dic7⋊C4 | — | 2 | 2 | no | — |
| 253 | C4×Dic7 | — | 2 | 2 | no | — |
| 254 | C2×C7⋊C8 | — | 2 | 2 | no | — |
| 255 | C2×C7⋊C8 | — | 8 | 1 | no | — |
| 256 | #560 | — | 14 | 2 | no | — |
| 257 | #553 | — | 14 | 1 | no | — |
| 258 | #553 | — | 14 | 1 | no | — |
| 259 | D42 | — | 14 | 1 | no | — |
| 260 | D42 | — | 14 | 1 | no | — |
| 261 | D42 | — | 14 | 2 | no | — |
| 262 | #540 | — | 14 | 1 | no | — |
| 263 | #538 | — | 7 | 2 | no | — |
| 264 | #538 | — | 14 | 1 | no | — |
| 265 | #535 | — | 14 | 1 | no | — |
| 266 | #534 | — | 7 | 2 | no | — |
| 267 | #534 | — | 14 | 1 | no | — |
| 268 | #525 | C2×D7 | 1 | 1 | yes | characteristic |
| 269 | C2×#121 | — | 7 | 1 | no | — |
| 270 | C2×#121 | — | 7 | 1 | no | — |
| 271 | C2×#121 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 272 | #483 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 273 | #482 | — | 2 | 1 | no | — |
| 274 | #480 | — | 7 | 2 | no | — |
| 275 | #480 | — | 14 | 1 | no | — |
| 276 | #480 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 277 | #469 | — | 2 | 1 | no | — |
| 278 | #468 | — | 2 | 1 | no | — |
| 279 | #466 | — | 14 | 2 | no | — |
| 280 | #450 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 281 | #449 | — | 2 | 1 | no | — |
| 282 | #447 | — | 7 | 2 | no | — |
| 283 | #447 | — | 14 | 1 | no | — |
| 284 | #447 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 285 | #407 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 286 | C2×C22⋊C8 | — | 7 | 1 | no | — |
| 287 | #397 | — | 7 | 2 | no | — |
| 288 | #397 | — | 14 | 1 | no | — |
| 289 | #392 | — | 7 | 2 | no | — |
| 290 | #392 | — | 14 | 1 | no | — |
| 291 | #392 | — | 14 | 2 | no | — |
| 292 | #381 | — | 7 | 1 | no | — |
| 293 | #328 | — | 7 | 2 | no | — |
| 294 | #327 | — | 7 | 2 | no | — |
| 295 | #327 | — | 7 | 2 | no | — |
| 296 | #327 | — | 7 | 2 | no | — |
| 297 | #323 | — | 7 | 2 | no | — |
| 298 | #323 | — | 7 | 2 | no | — |
| 299 | C23×C7 | — | 2 | 2 | no | — |
| 300 | C23×C7 | — | 2 | 1 | no | — |
| 301 | C23×C7 | — | 4 | 1 | no | — |
| 302 | C23×C7 | — | 4 | 1 | no | — |
| 303 | C23×C7 | — | 4 | 1 | no | — |
| 304 | C23×C7 | — | 4 | 1 | no | — |
| 305 | C23×C7 | — | 4 | 2 | no | — |
| 306 | C23×C7 | — | 4 | 1 | no | — |
| 307 | C23×C7 | — | 4 | 2 | no | — |
| 308 | C23×C7 | #120 | 1 | 1 | yes | characteristic |
| 309 | C23×C7 | #120 | 1 | 1 | yes | characteristic |
| 310 | C23×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 311 | C22×D7 | — | 2 | 2 | no | — |
| 312 | C22×D7 | — | 2 | 2 | no | — |
| 313 | C22×D7 | — | 2 | 2 | no | — |
| 314 | C22×D7 | — | 2 | 2 | no | — |
| 315 | C22×D7 | — | 4 | 2 | no | — |
| 316 | C22×D7 | — | 4 | 2 | no | — |
| 317 | C22×D7 | — | 4 | 2 | no | — |
| 318 | C22×D7 | — | 8 | 1 | no | — |
| 319 | C22×D7 | — | 8 | 1 | no | — |
| 320 | C22×D7 | — | 8 | 2 | no | — |
| 321 | C22×D7 | — | 8 | 2 | no | — |
| 322 | C22×D7 | — | 8 | 2 | no | — |
| 323 | C7×Q8 | — | 4 | 1 | no | — |
| 324 | C7×D4 | — | 4 | 1 | no | — |
| 325 | C7×D4 | — | 4 | 2 | no | — |
| 326 | C7×D4 | — | 4 | 1 | no | — |
| 327 | C7×D4 | — | 4 | 1 | no | — |
| 328 | C7×D4 | — | 4 | 2 | no | — |
| 329 | C7×D4 | — | 4 | 2 | no | — |
| 330 | C7×D4 | — | 8 | 1 | no | — |
| 331 | C7×D4 | — | 8 | 2 | no | — |
| 332 | C7×D4 | — | 8 | 2 | no | — |
| 333 | C2×C4×C7 | — | 2 | 1 | no | — |
| 334 | C2×C4×C7 | — | 2 | 1 | no | — |
| 335 | C2×C4×C7 | — | 2 | 1 | no | — |
| 336 | C2×C4×C7 | — | 4 | 1 | no | — |
| 337 | C2×C4×C7 | — | 4 | 1 | no | — |
| 338 | C2×C4×C7 | — | 4 | 1 | no | — |
| 339 | C2×C4×C7 | — | 4 | 1 | no | — |
| 340 | C2×C4×C7 | — | 4 | 1 | no | — |
| 341 | C2×C4×C7 | — | 4 | 1 | no | — |
| 342 | C2×C4×C7 | — | 4 | 2 | no | — |
| 343 | C2×C4×C7 | — | 4 | 1 | no | — |
| 344 | C2×C4×C7 | — | 4 | 2 | no | — |
| 345 | C2×C4×C7 | #120 | 1 | 1 | yes | characteristic |
| 346 | C2×C4×C7 | #120 | 1 | 1 | yes | characteristic |
| 347 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 348 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 349 | C22⋊D7 | — | 4 | 4 | no | — |
| 350 | C22⋊D7 | — | 4 | 2 | no | — |
| 351 | C22⋊D7 | — | 4 | 2 | no | — |
| 352 | C22⋊D7 | — | 8 | 2 | no | — |
| 353 | C22⋊D7 | — | 8 | 2 | no | — |
| 354 | C22⋊D7 | — | 8 | 2 | no | — |
| 355 | C22⋊D7 | — | 8 | 2 | no | — |
| 356 | C22⋊D7 | — | 8 | 8 | no | — |
| 357 | C2×Dic7 | — | 2 | 2 | no | — |
| 358 | C2×Dic7 | — | 2 | 2 | no | — |
| 359 | C2×Dic7 | — | 4 | 2 | no | — |
| 360 | C2×Dic7 | — | 4 | 2 | no | — |
| 361 | C2×Dic7 | — | 4 | 2 | no | — |
| 362 | C2×Dic7 | — | 4 | 2 | no | — |
| 363 | C2×Dic7 | — | 8 | 1 | no | — |
| 364 | D28 | — | 4 | 2 | no | — |
| 365 | D28 | — | 4 | 2 | no | — |
| 366 | D28 | — | 4 | 2 | no | — |
| 367 | D28 | — | 8 | 1 | no | — |
| 368 | D28 | — | 8 | 2 | no | — |
| 369 | D28 | — | 8 | 2 | no | — |
| 370 | D28 | — | 8 | 2 | no | — |
| 371 | C4×D7 | — | 8 | 2 | no | — |
| 372 | C4×D7 | — | 8 | 2 | no | — |
| 373 | C7×C8 | — | 4 | 1 | no | — |
| 374 | C7×C8 | — | 4 | 1 | no | — |
| 375 | C7⋊C8 | — | 4 | 2 | no | — |
| 376 | C2×#41 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 377 | C22×D4 | — | 2 | 1 | no | — |
| 378 | C22×D4 | — | 7 | 2 | no | — |
| 379 | C22×D4 | — | 7 | 1 | no | — |
| 380 | C22×D4 | — | 7 | 1 | no | — |
| 381 | C22×D4 | — | 14 | 1 | no | — |
| 382 | C22×D4 | — | 14 | 2 | no | — |
| 383 | C22×D4 | — | 14 | 2 | no | — |
| 384 | C22×D4 | — | 14 | 1 | no | — |
| 385 | C22×D4 | — | 14 | 2 | no | — |
| 386 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 387 | C23×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 388 | C2×SD16 | — | 2 | 1 | no | — |
| 389 | C2×D8 | — | 2 | 1 | no | — |
| 390 | C2×D8 | — | 14 | 2 | no | — |
| 391 | C2×M16 | — | 2 | 1 | no | — |
| 392 | C22×C8 | — | 14 | 1 | no | — |
| 393 | #127 | — | 14 | 1 | no | — |
| 394 | #127 | — | 14 | 2 | no | — |
| 395 | #126 | — | 14 | 2 | no | — |
| 396 | #126 | — | 14 | 2 | no | — |
| 397 | #125 | — | 14 | 1 | no | — |
| 398 | #124 | — | 14 | 2 | no | — |
| 399 | #123 | — | 2 | 1 | no | — |
| 400 | #123 | — | 14 | 2 | no | — |
| 401 | #123 | — | 14 | 2 | no | — |
| 402 | #123 | — | 14 | 2 | no | — |
| 403 | #123 | — | 14 | 2 | no | — |
| 404 | C22⋊Q8 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 405 | C22⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 406 | #121 | — | 2 | 1 | no | — |
| 407 | #121 | — | 2 | 1 | no | — |
| 408 | #121 | — | 2 | 1 | no | — |
| 409 | #121 | — | 2 | 1 | no | — |
| 410 | #121 | — | 7 | 2 | no | — |
| 411 | #121 | — | 7 | 2 | no | — |
| 412 | #121 | — | 14 | 2 | no | — |
| 413 | #121 | — | 14 | 2 | no | — |
| 414 | #121 | — | 14 | 2 | no | — |
| 415 | #121 | — | 14 | 2 | no | — |
| 416 | #121 | — | 14 | 1 | no | — |
| 417 | #121 | — | 14 | 1 | no | — |
| 418 | #121 | — | 14 | 2 | no | — |
| 419 | #121 | — | 14 | 2 | no | — |
| 420 | #121 | — | 14 | 1 | no | — |
| 421 | #121 | — | 14 | 1 | no | — |
| 422 | #121 | — | 14 | 1 | no | — |
| 423 | #121 | — | 14 | 1 | no | — |
| 424 | #121 | — | 14 | 1 | no | — |
| 425 | #121 | — | 14 | 1 | no | — |
| 426 | #121 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 427 | #121 | C22×D7 | 1 | 1 | yes | characteristic |
| 428 | #120 | — | 2 | 1 | no | — |
| 429 | #120 | — | 14 | 2 | no | — |
| 430 | #120 | — | 14 | 2 | no | — |
| 431 | #120 | — | 14 | 2 | no | — |
| 432 | #120 | — | 14 | 2 | no | — |
| 433 | #120 | — | 14 | 2 | no | — |
| 434 | #120 | — | 14 | 2 | no | — |
| 435 | C4×D4 | — | 2 | 1 | no | — |
| 436 | C4×D4 | — | 2 | 1 | no | — |
| 437 | C4×D4 | — | 14 | 1 | no | — |
| 438 | C4×D4 | — | 14 | 1 | no | — |
| 439 | C4×D4 | — | 14 | 2 | no | — |
| 440 | C4×D4 | — | 14 | 2 | no | — |
| 441 | #117 | — | 14 | 1 | no | — |
| 442 | #117 | C22⋊D7 | 1 | 1 | yes | characteristic, complemented |
| 443 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 444 | C2×C4⋊C4 | — | 7 | 1 | no | — |
| 445 | C2×C4⋊C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 446 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 447 | C2×C22⋊C4 | — | 7 | 2 | no | — |
| 448 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 449 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 450 | C2×C22⋊C4 | — | 14 | 2 | no | — |
| 451 | C2×C22⋊C4 | — | 14 | 1 | no | — |
| 452 | #107 | — | 2 | 1 | no | — |
| 453 | #107 | — | 14 | 2 | no | — |
| 454 | #106 | — | 2 | 1 | no | — |
| 455 | #103 | — | 2 | 1 | no | — |
| 456 | #102 | — | 2 | 1 | no | — |
| 457 | #102 | — | 2 | 1 | no | — |
| 458 | #102 | — | 2 | 1 | no | — |
| 459 | #102 | — | 14 | 2 | no | — |
| 460 | #102 | — | 14 | 2 | no | — |
| 461 | C22⋊C8 | — | 2 | 1 | no | — |
| 462 | C22⋊C8 | — | 7 | 2 | no | — |
| 463 | C22⋊C8 | — | 14 | 1 | no | — |
| 464 | C22⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 465 | C22⋊C8 | C22×D7 | 1 | 1 | yes | characteristic |
| 466 | #95 | — | 7 | 2 | no | — |
| 467 | #95 | — | 14 | 2 | no | — |
| 468 | #95 | — | 14 | 1 | no | — |
| 469 | C22×C7 | — | 2 | 1 | no | — |
| 470 | C22×C7 | — | 2 | 1 | no | — |
| 471 | C22×C7 | — | 2 | 1 | no | — |
| 472 | C22×C7 | — | 2 | 1 | no | — |
| 473 | C22×C7 | — | 2 | 1 | no | — |
| 474 | C22×C7 | — | 2 | 1 | no | — |
| 475 | C22×C7 | — | 2 | 1 | no | — |
| 476 | C22×C7 | — | 2 | 1 | no | — |
| 477 | C22×C7 | — | 4 | 1 | no | — |
| 478 | C22×C7 | — | 4 | 1 | no | — |
| 479 | C22×C7 | — | 4 | 1 | no | — |
| 480 | C22×C7 | — | 8 | 2 | no | — |
| 481 | C22×C7 | — | 8 | 2 | no | — |
| 482 | C22×C7 | — | 8 | 2 | no | — |
| 483 | C22×C7 | — | 8 | 1 | no | — |
| 484 | C22×C7 | — | 8 | 1 | no | — |
| 485 | C22×C7 | — | 8 | 1 | no | — |
| 486 | C22×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 487 | C22×C7 | #576 | 1 | 2 | yes | — |
| 488 | C2×D7 | — | 4 | 2 | no | — |
| 489 | C2×D7 | — | 4 | 2 | no | — |
| 490 | C2×D7 | — | 4 | 2 | no | — |
| 491 | C2×D7 | — | 4 | 2 | no | — |
| 492 | C2×D7 | — | 4 | 2 | no | — |
| 493 | C2×D7 | — | 4 | 2 | no | — |
| 494 | C2×D7 | — | 8 | 2 | no | — |
| 495 | C2×D7 | — | 8 | 2 | no | — |
| 496 | C2×D7 | — | 16 | 2 | no | — |
| 497 | C2×D7 | — | 16 | 4 | no | — |
| 498 | C4×C7 | — | 2 | 1 | no | — |
| 499 | C4×C7 | — | 2 | 1 | no | — |
| 500 | C4×C7 | — | 2 | 1 | no | — |
| 501 | C4×C7 | — | 2 | 1 | no | — |
| 502 | C4×C7 | — | 4 | 1 | no | — |
| 503 | C4×C7 | — | 4 | 1 | no | — |
| 504 | C4×C7 | — | 4 | 1 | no | — |
| 505 | C4×C7 | — | 8 | 1 | no | — |
| 506 | Dic7 | — | 4 | 2 | no | — |
| 507 | Dic7 | — | 4 | 2 | no | — |
| 508 | Dic7 | — | 8 | 2 | no | — |
| 509 | C24 | — | 2 | 1 | no | — |
| 510 | C24 | — | 7 | 2 | no | — |
| 511 | C24 | — | 14 | 2 | no | — |
| 512 | C24 | — | 14 | 1 | no | — |
| 513 | C24 | D4×D7 | 1 | 1 | yes | characteristic |
| 514 | #41 | — | 8 | 1 | no | — |
| 515 | C2×Q8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 516 | C2×D4 | — | 2 | 1 | no | — |
| 517 | C2×D4 | — | 2 | 1 | no | — |
| 518 | C2×D4 | — | 2 | 1 | no | — |
| 519 | C2×D4 | — | 2 | 1 | no | — |
| 520 | C2×D4 | — | 2 | 1 | no | — |
| 521 | C2×D4 | — | 4 | 1 | no | — |
| 522 | C2×D4 | — | 4 | 1 | no | — |
| 523 | C2×D4 | — | 7 | 2 | no | — |
| 524 | C2×D4 | — | 8 | 1 | no | — |
| 525 | C2×D4 | — | 8 | 2 | no | — |
| 526 | C2×D4 | — | 14 | 2 | no | — |
| 527 | C2×D4 | — | 14 | 2 | no | — |
| 528 | C2×D4 | — | 14 | 2 | no | — |
| 529 | C2×D4 | — | 14 | 2 | no | — |
| 530 | C2×D4 | — | 14 | 2 | no | — |
| 531 | C2×D4 | — | 14 | 2 | no | — |
| 532 | C2×D4 | — | 14 | 2 | no | — |
| 533 | C2×D4 | — | 14 | 2 | no | — |
| 534 | C2×D4 | — | 14 | 2 | no | — |
| 535 | C2×D4 | — | 14 | 1 | no | — |
| 536 | C2×D4 | — | 14 | 1 | no | — |
| 537 | C2×D4 | — | 14 | 1 | no | — |
| 538 | C2×D4 | — | 56 | 1 | no | — |
| 539 | C2×D4 | — | 56 | 2 | no | — |
| 540 | C2×D4 | — | 56 | 1 | no | — |
| 541 | C2×D4 | — | 56 | 2 | no | — |
| 542 | C2×D4 | — | 56 | 2 | no | — |
| 543 | C2×D4 | — | 56 | 2 | no | — |
| 544 | C2×D4 | — | 56 | 2 | no | — |
| 545 | C2×D4 | — | 56 | 2 | no | — |
| 546 | C2×D4 | — | 56 | 2 | no | — |
| 547 | C2×D4 | — | 56 | 4 | no | — |
| 548 | C2×D4 | — | 56 | 2 | no | — |
| 549 | C2×D4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 550 | C22×C4 | — | 2 | 1 | no | — |
| 551 | C22×C4 | — | 2 | 1 | no | — |
| 552 | C22×C4 | — | 7 | 2 | no | — |
| 553 | C22×C4 | — | 8 | 1 | no | — |
| 554 | C22×C4 | — | 14 | 2 | no | — |
| 555 | C22×C4 | — | 14 | 2 | no | — |
| 556 | C22×C4 | — | 14 | 1 | no | — |
| 557 | C22×C4 | — | 14 | 2 | no | — |
| 558 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 559 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 560 | C22×C4 | D4×D7 | 1 | 1 | yes | characteristic |
| 561 | C22×C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 562 | C22×C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 563 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 564 | SD16 | — | 8 | 1 | no | — |
| 565 | D8 | — | 8 | 1 | no | — |
| 566 | D8 | — | 56 | 2 | no | — |
| 567 | M16 | — | 8 | 1 | no | — |
| 568 | C2×C8 | — | 2 | 1 | no | — |
| 569 | C2×C8 | — | 2 | 1 | no | — |
| 570 | C2×C8 | — | 14 | 2 | no | — |
| 571 | C2×C8 | — | 56 | 1 | no | — |
| 572 | C4⋊C4 | — | 2 | 1 | no | — |
| 573 | C4⋊C4 | — | 2 | 1 | no | — |
| 574 | C4⋊C4 | — | 2 | 1 | no | — |
| 575 | C4⋊C4 | — | 2 | 1 | no | — |
| 576 | C4⋊C4 | — | 7 | 2 | no | — |
| 577 | C4⋊C4 | — | 14 | 2 | no | — |
| 578 | C4⋊C4 | — | 14 | 2 | no | — |
| 579 | C4⋊C4 | — | 14 | 1 | no | — |
| 580 | C4⋊C4 | — | 14 | 1 | no | — |
| 581 | C4⋊C4 | — | 14 | 1 | no | — |
| 582 | C4⋊C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 583 | C4⋊C4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 584 | C22⋊C4 | — | 2 | 1 | no | — |
| 585 | C22⋊C4 | — | 2 | 1 | no | — |
| 586 | C22⋊C4 | — | 2 | 1 | no | — |
| 587 | C22⋊C4 | — | 2 | 1 | no | — |
| 588 | C22⋊C4 | — | 2 | 1 | no | — |
| 589 | C22⋊C4 | — | 4 | 1 | no | — |
| 590 | C22⋊C4 | — | 4 | 1 | no | — |
| 591 | C22⋊C4 | — | 14 | 2 | no | — |
| 592 | C22⋊C4 | — | 14 | 2 | no | — |
| 593 | C22⋊C4 | — | 14 | 2 | no | — |
| 594 | C22⋊C4 | — | 14 | 2 | no | — |
| 595 | C22⋊C4 | — | 14 | 2 | no | — |
| 596 | C22⋊C4 | — | 14 | 2 | no | — |
| 597 | C22⋊C4 | — | 14 | 2 | no | — |
| 598 | C22⋊C4 | — | 14 | 2 | no | — |
| 599 | C22⋊C4 | — | 14 | 2 | no | — |
| 600 | C22⋊C4 | — | 56 | 2 | no | — |
| 601 | C22⋊C4 | — | 56 | 2 | no | — |
| 602 | C22⋊C4 | — | 56 | 1 | no | — |
| 603 | C42 | — | 2 | 1 | no | — |
| 604 | C42 | — | 14 | 2 | no | — |
| 605 | C2×C7 | — | 2 | 2 | no | — |
| 606 | C2×C7 | — | 4 | 1 | no | — |
| 607 | C2×C7 | — | 4 | 1 | no | — |
| 608 | C2×C7 | — | 8 | 1 | no | — |
| 609 | C2×C7 | — | 16 | 1 | no | — |
| 610 | C2×C7 | #3008 | 1 | 1 | yes | characteristic |
| 611 | C2×C7 | #3019 | 1 | 1 | yes | characteristic |
| 612 | C2×C7 | #3026 | 1 | 1 | yes | characteristic |
| 613 | D7 | — | 8 | 2 | no | — |
| 614 | D7 | — | 8 | 2 | no | — |
| 615 | C23 | — | 2 | 2 | no | — |
| 616 | C23 | — | 2 | 1 | no | — |
| 617 | C23 | — | 4 | 1 | no | — |
| 618 | C23 | — | 4 | 1 | no | — |
| 619 | C23 | — | 4 | 1 | no | — |
| 620 | C23 | — | 4 | 2 | no | — |
| 621 | C23 | — | 4 | 1 | no | — |
| 622 | C23 | — | 4 | 2 | no | — |
| 623 | C23 | — | 4 | 1 | no | — |
| 624 | C23 | — | 14 | 2 | no | — |
| 625 | C23 | — | 14 | 2 | no | — |
| 626 | C23 | — | 14 | 2 | no | — |
| 627 | C23 | — | 14 | 2 | no | — |
| 628 | C23 | — | 28 | 2 | no | — |
| 629 | C23 | — | 28 | 2 | no | — |
| 630 | C23 | — | 28 | 2 | no | — |
| 631 | C23 | — | 56 | 1 | no | — |
| 632 | C23 | — | 56 | 1 | no | — |
| 633 | C23 | — | 56 | 2 | no | — |
| 634 | C23 | — | 56 | 2 | no | — |
| 635 | C23 | — | 56 | 2 | no | — |
| 636 | C23 | #6500 | 1 | 1 | yes | characteristic |
| 637 | C23 | #6500 | 1 | 1 | yes | characteristic |
| 638 | C23 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 639 | Q8 | — | 4 | 1 | no | — |
| 640 | D4 | — | 4 | 1 | no | — |
| 641 | D4 | — | 4 | 1 | no | — |
| 642 | D4 | — | 4 | 2 | no | — |
| 643 | D4 | — | 4 | 1 | no | — |
| 644 | D4 | — | 4 | 2 | no | — |
| 645 | D4 | — | 4 | 2 | no | — |
| 646 | D4 | — | 8 | 1 | no | — |
| 647 | D4 | — | 8 | 2 | no | — |
| 648 | D4 | — | 8 | 2 | no | — |
| 649 | D4 | — | 28 | 2 | no | — |
| 650 | D4 | — | 28 | 2 | no | — |
| 651 | D4 | — | 28 | 2 | no | — |
| 652 | D4 | — | 28 | 4 | no | — |
| 653 | D4 | — | 28 | 2 | no | — |
| 654 | D4 | — | 28 | 2 | no | — |
| 655 | D4 | — | 56 | 1 | no | — |
| 656 | D4 | — | 56 | 2 | no | — |
| 657 | D4 | — | 56 | 2 | no | — |
| 658 | D4 | — | 56 | 2 | no | — |
| 659 | D4 | — | 56 | 2 | no | — |
| 660 | D4 | — | 56 | 2 | no | — |
| 661 | D4 | — | 56 | 2 | no | — |
| 662 | D4 | — | 56 | 2 | no | — |
| 663 | D4 | — | 56 | 8 | no | — |
| 664 | C2×C4 | — | 2 | 1 | no | — |
| 665 | C2×C4 | — | 2 | 1 | no | — |
| 666 | C2×C4 | — | 2 | 1 | no | — |
| 667 | C2×C4 | — | 4 | 1 | no | — |
| 668 | C2×C4 | — | 4 | 1 | no | — |
| 669 | C2×C4 | — | 4 | 1 | no | — |
| 670 | C2×C4 | — | 4 | 1 | no | — |
| 671 | C2×C4 | — | 4 | 1 | no | — |
| 672 | C2×C4 | — | 4 | 1 | no | — |
| 673 | C2×C4 | — | 4 | 2 | no | — |
| 674 | C2×C4 | — | 4 | 2 | no | — |
| 675 | C2×C4 | — | 4 | 1 | no | — |
| 676 | C2×C4 | — | 14 | 2 | no | — |
| 677 | C2×C4 | — | 14 | 2 | no | — |
| 678 | C2×C4 | — | 28 | 2 | no | — |
| 679 | C2×C4 | — | 28 | 2 | no | — |
| 680 | C2×C4 | — | 28 | 2 | no | — |
| 681 | C2×C4 | — | 28 | 2 | no | — |
| 682 | C2×C4 | — | 56 | 2 | no | — |
| 683 | C2×C4 | — | 56 | 2 | no | — |
| 684 | C2×C4 | — | 56 | 1 | no | — |
| 685 | C2×C4 | #6500 | 1 | 1 | yes | characteristic |
| 686 | C2×C4 | #6500 | 1 | 1 | yes | characteristic |
| 687 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 688 | C2×C4 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 689 | C8 | — | 4 | 1 | no | — |
| 690 | C8 | — | 4 | 1 | no | — |
| 691 | C8 | — | 28 | 2 | no | — |
| 692 | C7 | #18450 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 693 | C22 | — | 2 | 1 | no | — |
| 694 | C22 | — | 2 | 1 | no | — |
| 695 | C22 | — | 2 | 1 | no | — |
| 696 | C22 | — | 2 | 1 | no | — |
| 697 | C22 | — | 2 | 1 | no | — |
| 698 | C22 | — | 2 | 1 | no | — |
| 699 | C22 | — | 2 | 1 | no | — |
| 700 | C22 | — | 2 | 1 | no | — |
| 701 | C22 | — | 4 | 1 | no | — |
| 702 | C22 | — | 4 | 1 | no | — |
| 703 | C22 | — | 4 | 1 | no | — |
| 704 | C22 | — | 8 | 2 | no | — |
| 705 | C22 | — | 8 | 2 | no | — |
| 706 | C22 | — | 8 | 2 | no | — |
| 707 | C22 | — | 8 | 1 | no | — |
| 708 | C22 | — | 8 | 1 | no | — |
| 709 | C22 | — | 8 | 1 | no | — |
| 710 | C22 | — | 28 | 2 | no | — |
| 711 | C22 | — | 28 | 2 | no | — |
| 712 | C22 | — | 28 | 2 | no | — |
| 713 | C22 | — | 28 | 2 | no | — |
| 714 | C22 | — | 28 | 2 | no | — |
| 715 | C22 | — | 28 | 2 | no | — |
| 716 | C22 | — | 56 | 2 | no | — |
| 717 | C22 | — | 56 | 2 | no | — |
| 718 | C22 | — | 112 | 2 | no | — |
| 719 | C22 | — | 112 | 4 | no | — |
| 720 | C22 | #90465 | 1 | 2 | yes | — |
| 721 | C22 | C2×#6500 | 1 | 1 | yes | characteristic |
| 722 | C4 | — | 2 | 1 | no | — |
| 723 | C4 | — | 2 | 1 | no | — |
| 724 | C4 | — | 2 | 1 | no | — |
| 725 | C4 | — | 2 | 1 | no | — |
| 726 | C4 | — | 4 | 1 | no | — |
| 727 | C4 | — | 4 | 1 | no | — |
| 728 | C4 | — | 4 | 1 | no | — |
| 729 | C4 | — | 8 | 1 | no | — |
| 730 | C4 | — | 28 | 2 | no | — |
| 731 | C4 | — | 28 | 2 | no | — |
| 732 | C4 | — | 56 | 2 | no | — |
| 733 | C2 | — | 2 | 2 | no | — |
| 734 | C2 | — | 4 | 1 | no | — |
| 735 | C2 | — | 4 | 1 | no | — |
| 736 | C2 | — | 8 | 1 | no | — |
| 737 | C2 | — | 16 | 1 | no | — |
| 738 | C2 | — | 56 | 2 | no | — |
| 739 | C2 | — | 56 | 2 | no | — |
| 740 | C2 | #11740820 | 1 | 1 | yes | characteristic |
| 741 | C2 | #11741392 | 1 | 1 | yes | characteristic |
| 742 | C2 | #11741450 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11743120 | C2 | semidirect |
| 2. C7×#3194 | C2 | semidirect |
| 3. #11740167 | C2 | semidirect |
| 4. #11740070 | C2 | semidirect |
| 5. #11729464 | C2 | semidirect |
| 6. #11728927 | C2 | semidirect |
| 7. #11728918 | C2 | semidirect |
| 8. #11728731 | C2 | semidirect |
| 9. #11728722 | C2 | semidirect |
| 10. #11727732 | C2 | semidirect |
| 11. #11727724 | C2 | semidirect |
| 13. C2×C7×#121 | C22 | semidirect |
| 28. C7×#483 | C22 | semidirect |
| 30. C7×#480 | C22 | semidirect |
| 33. C7×#450 | C22 | semidirect |
| 35. C7×#447 | C22 | semidirect |
| 36. C7×#407 | C22 | semidirect |
| 38. #89995 | C22 | semidirect |
| 39. #89989 | C22 | semidirect |
| 40. #89983 | C22 | semidirect |
| 41. C2×C22⋊(C7⋊C8) | C22 | semidirect |
| 45. #89765 | C22 | semidirect |
| 46. #89739 | C22 | semidirect |
| 49. #89333 | C22 | semidirect |
| 50. #89332 | C22 | semidirect |
| 51. #89265 | C22 | semidirect |
| 52. #89265 | C22 | semidirect |
| 53. #89263 | C22 | semidirect |
| 54. #89263 | C22 | semidirect |
| 56. C2×C7×#41 | D4 | semidirect |
| 67. C22×D28 | D4 | semidirect |
| 72. C7×C22⋊Q8 | D4 | semidirect |
| 78. C7×#121 | D4 | semidirect |
| 83. C7×#117 | D4 | semidirect |
| 103. #6493 | D4 | semidirect |
| 110. C2×C4⋊Dic7 | D4 | semidirect |
| 150. #3194 | D7 | semidirect |
| 271. C2×#121 | C2×D7 | semidirect |
| 272. #483 | C2×D7 | semidirect |
| 276. #480 | C2×D7 | semidirect |
| 280. #450 | C2×D7 | semidirect |
| 284. #447 | C2×D7 | semidirect |
| 285. #407 | C2×D7 | semidirect |
| 376. C2×#41 | C22⋊D7 | semidirect |
| 404. C22⋊Q8 | C22⋊D7 | semidirect |
| 426. #121 | C22⋊D7 | semidirect |
| 442. #117 | C22⋊D7 | semidirect |
| 692. C7 | #18450 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11743120 | 2 |
| C7×#3194 | 2 |
| #11740167 | 2 |
| #11740070 | 2 |
| #11729464 | 2 |
| #11728927 | 2 |
| #11728918 | 2 |
| #11728731 | 2 |
| #11728722 | 2 |
| #11727732 | 2 |
| #11727724 | 2 |
| #18450 | 7 |