Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
1674 conjugacy classes of subgroups.
The subgroup lattice has 1034 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11744345 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11744268 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C7×#3019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11741546 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #11741450 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11740828 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #11729875 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11729870 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #11729612 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #11728170 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11728167 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11728163 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #11728154 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #11727844 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #11727841 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×C7×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #90616 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#6553 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C7×#575 | C22 | 1 | 1 | yes | characteristic |
| 20 | C7×#575 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C7×#535 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #90527 | — | 2 | 2 | no | — |
| 23 | #90527 | — | 2 | 2 | no | — |
| 24 | #90526 | — | 2 | 2 | no | — |
| 25 | #90526 | — | 2 | 2 | no | — |
| 26 | #90521 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #90513 | — | 2 | 2 | no | — |
| 28 | #90513 | C22 | 1 | 1 | yes | characteristic |
| 29 | #90513 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #90513 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×#6512 | C22 | 1 | 1 | yes | characteristic |
| 32 | #90510 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C2×#6495 | — | 2 | 2 | no | — |
| 34 | C2×#6495 | C22 | 1 | 1 | yes | characteristic |
| 35 | C2×#6495 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C22×#1141 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #90469 | — | 2 | 2 | no | — |
| 38 | #90468 | — | 2 | 2 | no | — |
| 39 | #90465 | — | 2 | 2 | no | — |
| 40 | D7×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 41 | #90461 | — | 2 | 2 | no | — |
| 42 | #90460 | — | 2 | 2 | no | — |
| 43 | C2×#6471 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #90436 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C7×#455 | — | 2 | 2 | no | — |
| 46 | C7×#453 | — | 2 | 2 | no | — |
| 47 | C7×#421 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C7×#421 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | C2×C7×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #90010 | — | 2 | 2 | no | — |
| 51 | #90008 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #90006 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #90006 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #90005 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #89989 | — | 2 | 2 | no | — |
| 56 | #89987 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #89974 | — | 2 | 2 | no | — |
| 58 | #89970 | — | 2 | 2 | no | — |
| 59 | #89911 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | C2×#6397 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #89901 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #89809 | — | 2 | 2 | no | — |
| 63 | #89808 | — | 2 | 2 | no | — |
| 64 | #89778 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #89774 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #89773 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | C7⋊#338 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #89354 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #89353 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #89328 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #23892 | — | 7 | 1 | no | maximal, Sylow |
| 72 | C7×H(5,𝔽2) | — | 2 | 2 | no | — |
| 73 | C7×H(5,𝔽2) | — | 2 | 2 | no | — |
| 74 | C7×H(5,𝔽2) | — | 2 | 2 | no | — |
| 75 | C7×H(5,𝔽2) | — | 4 | 1 | no | — |
| 76 | C2×C7×#41 | — | 2 | 1 | no | — |
| 77 | C2×C7×#41 | — | 2 | 1 | no | — |
| 78 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×C7×D4 | — | 2 | 1 | no | — |
| 82 | C22×C7×D4 | — | 2 | 1 | no | — |
| 83 | C22×C7×D4 | — | 4 | 1 | no | — |
| 84 | C22×C7×D4 | C23 | 1 | 1 | yes | characteristic |
| 85 | #6554 | — | 2 | 1 | no | — |
| 86 | #6554 | D4 | 1 | 2 | yes | complemented |
| 87 | #6553 | — | 2 | 1 | no | — |
| 88 | #6553 | — | 2 | 2 | no | — |
| 89 | #6553 | — | 2 | 2 | no | — |
| 90 | #6553 | — | 2 | 2 | no | — |
| 91 | #6553 | — | 4 | 1 | no | — |
| 92 | #6553 | D4 | 1 | 2 | yes | complemented |
| 93 | D7×#41 | — | 2 | 2 | no | — |
| 94 | D7×#41 | — | 4 | 1 | no | — |
| 95 | #6551 | — | 2 | 1 | no | — |
| 96 | C2×#1161 | — | 2 | 1 | no | — |
| 97 | #6548 | — | 2 | 1 | no | — |
| 98 | #6548 | — | 4 | 1 | no | — |
| 99 | C2×D4×D7 | — | 2 | 1 | no | — |
| 100 | C2×D4×D7 | — | 4 | 1 | no | — |
| 101 | C2×#1157 | — | 2 | 2 | no | — |
| 102 | C2×#1157 | — | 2 | 1 | no | — |
| 103 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 104 | C2×#1157 | C23 | 1 | 1 | yes | characteristic |
| 105 | C22×D28 | — | 2 | 1 | no | — |
| 106 | C22×D28 | C23 | 1 | 1 | yes | characteristic |
| 107 | C7×#137 | — | 2 | 1 | no | — |
| 108 | C7×#137 | — | 2 | 1 | no | — |
| 109 | C7×#137 | — | 2 | 1 | no | — |
| 110 | C7×#137 | D4 | 1 | 2 | yes | complemented |
| 111 | C7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 112 | C7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 113 | C7×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 114 | C7×AGL(1,ℤ/8) | D4 | 1 | 2 | yes | complemented |
| 115 | C7×#135 | — | 2 | 2 | no | — |
| 116 | C7×#135 | — | 4 | 1 | no | — |
| 117 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 118 | C2×C7×M16 | C23 | 1 | 1 | yes | characteristic |
| 119 | C7×#127 | — | 2 | 1 | no | — |
| 120 | C7×#124 | — | 2 | 1 | no | — |
| 121 | C7×#121 | — | 2 | 2 | no | — |
| 122 | C7×#120 | — | 4 | 1 | no | — |
| 123 | C7×#117 | C23 | 1 | 1 | yes | characteristic |
| 124 | #6514 | — | 2 | 4 | no | — |
| 125 | #6514 | — | 2 | 1 | no | — |
| 126 | #6514 | — | 2 | 1 | no | — |
| 127 | #6514 | — | 2 | 1 | no | — |
| 128 | #6513 | — | 2 | 4 | no | — |
| 129 | #6513 | — | 2 | 4 | no | — |
| 130 | #6513 | — | 2 | 2 | no | — |
| 131 | #6513 | — | 2 | 2 | no | — |
| 132 | #6513 | — | 2 | 2 | no | — |
| 133 | #6512 | — | 2 | 4 | no | — |
| 134 | #6512 | — | 2 | 2 | no | — |
| 135 | #6512 | — | 2 | 2 | no | — |
| 136 | #6512 | — | 2 | 1 | no | — |
| 137 | #6512 | — | 2 | 1 | no | — |
| 138 | #6512 | — | 2 | 1 | no | — |
| 139 | #6511 | — | 2 | 2 | no | — |
| 140 | #6511 | — | 2 | 2 | no | — |
| 141 | #6510 | — | 2 | 1 | no | — |
| 142 | #6505 | — | 2 | 1 | no | — |
| 143 | #6505 | — | 2 | 1 | no | — |
| 144 | #6505 | D4 | 1 | 2 | yes | complemented |
| 145 | C2×#1143 | D4 | 1 | 2 | yes | complemented |
| 146 | #6503 | — | 2 | 1 | no | — |
| 147 | #6500 | — | 4 | 1 | no | — |
| 148 | C2×#1142 | — | 2 | 4 | no | — |
| 149 | C2×#1142 | — | 2 | 1 | no | — |
| 150 | C2×#1142 | D4 | 1 | 2 | yes | complemented |
| 151 | #6495 | — | 2 | 4 | no | — |
| 152 | #6495 | — | 2 | 4 | no | — |
| 153 | #6495 | — | 2 | 1 | no | — |
| 154 | #6495 | — | 2 | 1 | no | — |
| 155 | #6495 | — | 2 | 2 | no | — |
| 156 | #6495 | — | 2 | 2 | no | — |
| 157 | #6495 | — | 2 | 2 | no | — |
| 158 | #6495 | — | 2 | 2 | no | — |
| 159 | #6495 | D4 | 1 | 2 | yes | complemented |
| 160 | C2×#1141 | — | 2 | 4 | no | — |
| 161 | C2×#1141 | — | 2 | 1 | no | — |
| 162 | C2×#1141 | — | 2 | 2 | no | — |
| 163 | C2×#1141 | — | 2 | 2 | no | — |
| 164 | C2×#1141 | — | 4 | 1 | no | — |
| 165 | C2×#1141 | D4 | 1 | 2 | yes | complemented |
| 166 | C2×#1141 | D4 | 1 | 2 | yes | complemented |
| 167 | #6493 | — | 2 | 2 | no | — |
| 168 | #6489 | C23 | 1 | 1 | yes | characteristic |
| 169 | C2×#1136 | — | 2 | 2 | no | — |
| 170 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 171 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 172 | C2×#1136 | C23 | 1 | 1 | yes | characteristic |
| 173 | C22×C7⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 174 | #6482 | — | 2 | 4 | no | — |
| 175 | #6481 | — | 2 | 4 | no | — |
| 176 | #6479 | — | 2 | 4 | no | — |
| 177 | #6477 | — | 2 | 4 | no | — |
| 178 | #6477 | — | 2 | 4 | no | — |
| 179 | D7×SD16 | — | 2 | 4 | no | — |
| 180 | #6474 | — | 2 | 4 | no | — |
| 181 | D7×D8 | — | 2 | 4 | no | — |
| 182 | #6471 | — | 2 | 2 | no | — |
| 183 | #6471 | — | 2 | 2 | no | — |
| 184 | #6470 | — | 2 | 2 | no | — |
| 185 | D7×M16 | — | 2 | 2 | no | — |
| 186 | C2×D56 | — | 2 | 1 | no | — |
| 187 | C2×#1132 | — | 2 | 1 | no | — |
| 188 | #6464 | — | 2 | 2 | no | — |
| 189 | C7×#104 | — | 2 | 2 | no | — |
| 190 | C7×#104 | — | 2 | 2 | no | — |
| 191 | C7×#100 | — | 2 | 2 | no | — |
| 192 | #6411 | — | 2 | 2 | no | — |
| 193 | #6409 | — | 2 | 1 | no | — |
| 194 | #6406 | — | 2 | 1 | no | — |
| 195 | #6406 | — | 2 | 2 | no | — |
| 196 | C22⋊(C7⋊C8) | — | 2 | 2 | no | — |
| 197 | C22⋊(C7⋊C8) | — | 2 | 2 | no | — |
| 198 | #6399 | — | 2 | 2 | no | — |
| 199 | #6397 | — | 2 | 2 | no | — |
| 200 | (C2×D7)⋊C8 | — | 4 | 1 | no | — |
| 201 | #6384 | — | 2 | 1 | no | — |
| 202 | #6383 | — | 2 | 1 | no | — |
| 203 | #6383 | — | 2 | 2 | no | — |
| 204 | #6380 | — | 4 | 1 | no | — |
| 205 | #3585 | — | 7 | 1 | no | — |
| 206 | #3585 | — | 7 | 1 | no | — |
| 207 | #3019 | — | 7 | 1 | no | — |
| 208 | #3019 | D7 | 1 | 1 | yes | characteristic, complemented |
| 209 | #3008 | — | 7 | 1 | no | — |
| 210 | #3008 | — | 7 | 1 | no | — |
| 211 | #2018 | — | 7 | 1 | no | — |
| 212 | #2017 | — | 7 | 1 | no | — |
| 213 | #2008 | — | 7 | 1 | no | — |
| 214 | #2008 | — | 7 | 1 | no | — |
| 215 | #1903 | — | 7 | 1 | no | — |
| 216 | #1903 | — | 7 | 1 | no | — |
| 217 | #1881 | — | 7 | 1 | no | — |
| 218 | #1881 | — | 7 | 1 | no | — |
| 219 | #1794 | — | 7 | 1 | no | — |
| 220 | C24×C7 | — | 2 | 1 | no | — |
| 221 | C24×C7 | — | 4 | 1 | no | — |
| 222 | C23×D7 | — | 2 | 1 | no | — |
| 223 | C23×D7 | — | 4 | 1 | no | — |
| 224 | C7×#41 | — | 2 | 1 | no | — |
| 225 | C7×#41 | — | 2 | 1 | no | — |
| 226 | C7×#41 | — | 2 | 4 | no | — |
| 227 | C7×#41 | — | 2 | 1 | no | — |
| 228 | C7×#41 | — | 2 | 1 | no | — |
| 229 | C7×#41 | — | 2 | 1 | no | — |
| 230 | C7×#41 | — | 2 | 1 | no | — |
| 231 | C7×#41 | — | 2 | 1 | no | — |
| 232 | C7×#41 | — | 2 | 1 | no | — |
| 233 | C7×#41 | — | 2 | 1 | no | — |
| 234 | C7×#41 | — | 2 | 1 | no | — |
| 235 | C7×#41 | — | 4 | 2 | no | — |
| 236 | C7×#41 | — | 4 | 2 | no | — |
| 237 | C7×#41 | — | 4 | 2 | no | — |
| 238 | C7×#41 | C2×D4 | 1 | 2 | yes | — |
| 239 | C7×#41 | C2×D4 | 1 | 2 | yes | — |
| 240 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C7×D4 | — | 2 | 1 | no | — |
| 244 | C2×C7×D4 | — | 2 | 4 | no | — |
| 245 | C2×C7×D4 | — | 2 | 1 | no | — |
| 246 | C2×C7×D4 | — | 2 | 1 | no | — |
| 247 | C2×C7×D4 | — | 2 | 1 | no | — |
| 248 | C2×C7×D4 | — | 2 | 1 | no | — |
| 249 | C2×C7×D4 | — | 2 | 1 | no | — |
| 250 | C2×C7×D4 | — | 2 | 1 | no | — |
| 251 | C2×C7×D4 | — | 2 | 1 | no | — |
| 252 | C2×C7×D4 | — | 4 | 2 | no | — |
| 253 | C2×C7×D4 | — | 4 | 1 | no | — |
| 254 | C2×C7×D4 | — | 4 | 1 | no | — |
| 255 | C2×C7×D4 | — | 4 | 2 | no | — |
| 256 | C2×C7×D4 | — | 4 | 4 | no | — |
| 257 | C2×C7×D4 | — | 4 | 4 | no | — |
| 258 | C2×C7×D4 | — | 4 | 2 | no | — |
| 259 | C2×C7×D4 | — | 4 | 2 | no | — |
| 260 | C2×C7×D4 | C2×D4 | 1 | 2 | yes | — |
| 261 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C2×C7×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C22×C4×C7 | — | 2 | 1 | no | — |
| 265 | C22×C4×C7 | — | 2 | 1 | no | — |
| 266 | C22×C4×C7 | — | 2 | 1 | no | — |
| 267 | C22×C4×C7 | — | 4 | 1 | no | — |
| 268 | C22×C4×C7 | C24 | 1 | 1 | yes | characteristic |
| 269 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 270 | C2×C22⋊D7 | — | 2 | 1 | no | — |
| 271 | C2×C22⋊D7 | — | 4 | 1 | no | — |
| 272 | C2×C22⋊D7 | — | 4 | 2 | no | — |
| 273 | C2×C22⋊D7 | — | 4 | 2 | no | — |
| 274 | #1161 | — | 2 | 4 | no | — |
| 275 | #1161 | — | 2 | 2 | no | — |
| 276 | #1161 | — | 4 | 2 | no | — |
| 277 | #1161 | — | 4 | 1 | no | — |
| 278 | Q8×D7 | — | 2 | 2 | no | — |
| 279 | Q8×D7 | — | 4 | 1 | no | — |
| 280 | #1159 | — | 2 | 2 | no | — |
| 281 | #1159 | — | 4 | 1 | no | — |
| 282 | #1159 | — | 4 | 2 | no | — |
| 283 | #1159 | — | 4 | 2 | no | — |
| 284 | D4×D7 | — | 2 | 4 | no | — |
| 285 | D4×D7 | — | 2 | 2 | no | — |
| 286 | D4×D7 | — | 4 | 2 | no | — |
| 287 | D4×D7 | — | 4 | 1 | no | — |
| 288 | D4×D7 | — | 4 | 2 | no | — |
| 289 | D4×D7 | — | 4 | 4 | no | — |
| 290 | D4×D7 | — | 4 | 4 | no | — |
| 291 | D4×D7 | — | 4 | 2 | no | — |
| 292 | #1157 | — | 2 | 1 | no | — |
| 293 | #1157 | — | 2 | 1 | no | — |
| 294 | #1157 | — | 2 | 1 | no | — |
| 295 | #1157 | — | 2 | 1 | no | — |
| 296 | #1157 | — | 2 | 1 | no | — |
| 297 | #1157 | — | 2 | 1 | no | — |
| 298 | #1157 | — | 2 | 2 | no | — |
| 299 | #1157 | — | 2 | 2 | no | — |
| 300 | #1157 | — | 4 | 2 | no | — |
| 301 | #1157 | — | 4 | 2 | no | — |
| 302 | #1157 | — | 4 | 2 | no | — |
| 303 | #1157 | — | 4 | 2 | no | — |
| 304 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 305 | #1157 | C2×D4 | 1 | 2 | yes | — |
| 306 | C2×D28 | — | 2 | 1 | no | — |
| 307 | C2×D28 | — | 2 | 1 | no | — |
| 308 | C2×D28 | — | 2 | 1 | no | — |
| 309 | C2×D28 | — | 2 | 1 | no | — |
| 310 | C2×D28 | — | 2 | 2 | no | — |
| 311 | C2×D28 | — | 2 | 1 | no | — |
| 312 | C2×D28 | — | 4 | 2 | no | — |
| 313 | C2×D28 | — | 4 | 1 | no | — |
| 314 | C2×D28 | — | 4 | 2 | no | — |
| 315 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×D28 | C2×D4 | 1 | 2 | yes | — |
| 317 | C2×D28 | C2×D4 | 1 | 1 | yes | characteristic |
| 318 | C2×C4×D7 | — | 2 | 1 | no | — |
| 319 | C2×C4×D7 | — | 2 | 1 | no | — |
| 320 | C2×C4×D7 | — | 4 | 2 | no | — |
| 321 | C2×C4×D7 | — | 4 | 1 | no | — |
| 322 | C2×Dic14 | — | 2 | 2 | no | — |
| 323 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×Dic14 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C7×Q16 | — | 2 | 2 | no | — |
| 326 | C7×Q16 | — | 4 | 1 | no | — |
| 327 | C7×SD16 | — | 2 | 2 | no | — |
| 328 | C7×SD16 | — | 2 | 2 | no | — |
| 329 | C7×SD16 | — | 4 | 1 | no | — |
| 330 | C7×SD16 | — | 4 | 1 | no | — |
| 331 | C7×D8 | — | 2 | 2 | no | — |
| 332 | C7×D8 | — | 4 | 1 | no | — |
| 333 | C7×M16 | — | 2 | 1 | no | — |
| 334 | C7×M16 | — | 2 | 1 | no | — |
| 335 | C7×M16 | — | 2 | 1 | no | — |
| 336 | C7×M16 | C2×D4 | 1 | 2 | yes | — |
| 337 | C2×C7×C8 | — | 2 | 1 | no | — |
| 338 | C2×C7×C8 | — | 2 | 1 | no | — |
| 339 | C7×C4⋊C4 | — | 2 | 1 | no | — |
| 340 | C7×C22⋊C4 | — | 2 | 1 | no | — |
| 341 | C7×C22⋊C4 | — | 4 | 2 | no | — |
| 342 | C42×C7 | — | 2 | 1 | no | — |
| 343 | C22⋊Dic7 | — | 2 | 1 | no | — |
| 344 | #1144 | — | 2 | 2 | no | — |
| 345 | #1144 | — | 2 | 2 | no | — |
| 346 | #1144 | — | 2 | 2 | no | — |
| 347 | #1143 | — | 2 | 2 | no | — |
| 348 | #1143 | — | 2 | 2 | no | — |
| 349 | #1143 | — | 2 | 4 | no | — |
| 350 | #1143 | — | 2 | 2 | no | — |
| 351 | #1142 | — | 2 | 2 | no | — |
| 352 | #1142 | — | 2 | 4 | no | — |
| 353 | #1142 | — | 2 | 2 | no | — |
| 354 | #1142 | — | 2 | 4 | no | — |
| 355 | #1142 | — | 2 | 2 | no | — |
| 356 | #1141 | — | 2 | 2 | no | — |
| 357 | #1141 | — | 2 | 4 | no | — |
| 358 | #1141 | — | 2 | 2 | no | — |
| 359 | #1141 | — | 2 | 4 | no | — |
| 360 | #1141 | — | 2 | 2 | no | — |
| 361 | #1141 | — | 2 | 4 | no | — |
| 362 | #1141 | — | 4 | 4 | no | — |
| 363 | (C2×D7)⋊C4 | — | 4 | 2 | no | — |
| 364 | C4⋊Dic7 | — | 2 | 1 | no | — |
| 365 | C4×Dic7 | — | 2 | 1 | no | — |
| 366 | #1136 | — | 2 | 4 | no | — |
| 367 | #1136 | — | 2 | 1 | no | — |
| 368 | #1136 | — | 2 | 1 | no | — |
| 369 | #1136 | — | 2 | 1 | no | — |
| 370 | #1136 | — | 2 | 1 | no | — |
| 371 | #1136 | — | 2 | 1 | no | — |
| 372 | #1136 | C2×D4 | 1 | 2 | yes | — |
| 373 | C2×C7⋊C8 | — | 2 | 4 | no | — |
| 374 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 375 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 376 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 377 | C2×C7⋊C8 | — | 2 | 1 | no | — |
| 378 | C2×C7⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 379 | C2×C7⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 380 | D56 | — | 2 | 4 | no | — |
| 381 | #1132 | — | 2 | 4 | no | — |
| 382 | #1131 | — | 2 | 4 | no | — |
| 383 | C8×D7 | — | 2 | 4 | no | — |
| 384 | #585 | — | 7 | 1 | no | — |
| 385 | C2×H(5,𝔽2) | — | 7 | 1 | no | — |
| 386 | C2×H(5,𝔽2) | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 387 | #577 | — | 14 | 2 | no | — |
| 388 | #577 | — | 14 | 2 | no | — |
| 389 | #577 | — | 14 | 2 | no | — |
| 390 | #577 | — | 14 | 2 | no | — |
| 391 | #576 | — | 14 | 2 | no | — |
| 392 | #576 | — | 14 | 2 | no | — |
| 393 | #576 | — | 14 | 2 | no | — |
| 394 | #576 | — | 14 | 2 | no | — |
| 395 | #575 | — | 7 | 1 | no | — |
| 396 | #575 | — | 7 | 1 | no | — |
| 397 | #575 | — | 7 | 1 | no | — |
| 398 | #575 | — | 14 | 2 | no | — |
| 399 | #575 | — | 14 | 2 | no | — |
| 400 | #575 | C2×D7 | 1 | 1 | yes | characteristic |
| 401 | #575 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 402 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 403 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 404 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 405 | C2×AGL(1,ℤ/8) | — | 7 | 1 | no | — |
| 406 | C2×AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 407 | C2×AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 408 | C22×D8 | — | 7 | 1 | no | — |
| 409 | #568 | — | 7 | 1 | no | — |
| 410 | #568 | — | 7 | 1 | no | — |
| 411 | #535 | — | 7 | 1 | no | — |
| 412 | #535 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 413 | #455 | — | 2 | 2 | no | — |
| 414 | #455 | — | 14 | 2 | no | — |
| 415 | #453 | — | 2 | 2 | no | — |
| 416 | #453 | — | 14 | 2 | no | — |
| 417 | #449 | — | 14 | 2 | no | — |
| 418 | #449 | — | 14 | 2 | no | — |
| 419 | #447 | — | 14 | 2 | no | — |
| 420 | #447 | — | 14 | 2 | no | — |
| 421 | #421 | — | 7 | 1 | no | — |
| 422 | #421 | — | 7 | 1 | no | — |
| 423 | #421 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 424 | #421 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 425 | #418 | — | 7 | 1 | no | — |
| 426 | #418 | — | 7 | 1 | no | — |
| 427 | #416 | — | 7 | 1 | no | — |
| 428 | #416 | — | 7 | 1 | no | — |
| 429 | C2×#100 | — | 7 | 1 | no | — |
| 430 | C2×#100 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 431 | #410 | — | 7 | 1 | no | — |
| 432 | #408 | — | 7 | 1 | no | — |
| 433 | #408 | — | 7 | 1 | no | — |
| 434 | #408 | — | 7 | 1 | no | — |
| 435 | #344 | — | 7 | 1 | no | — |
| 436 | #344 | — | 7 | 1 | no | — |
| 437 | #341 | — | 7 | 1 | no | — |
| 438 | #338 | — | 7 | 1 | no | — |
| 439 | C23×C7 | — | 2 | 1 | no | — |
| 440 | C23×C7 | — | 2 | 1 | no | — |
| 441 | C23×C7 | — | 2 | 1 | no | — |
| 442 | C23×C7 | — | 2 | 2 | no | — |
| 443 | C23×C7 | — | 4 | 4 | no | — |
| 444 | C23×C7 | — | 4 | 1 | no | — |
| 445 | C23×C7 | — | 4 | 1 | no | — |
| 446 | C23×C7 | — | 16 | 1 | no | — |
| 447 | C23×C7 | — | 16 | 2 | no | — |
| 448 | C23×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 449 | C22×D7 | — | 2 | 1 | no | — |
| 450 | C22×D7 | — | 2 | 1 | no | — |
| 451 | C22×D7 | — | 2 | 2 | no | — |
| 452 | C22×D7 | — | 4 | 2 | no | — |
| 453 | C22×D7 | — | 4 | 4 | no | — |
| 454 | C22×D7 | — | 4 | 1 | no | — |
| 455 | C22×D7 | — | 4 | 1 | no | — |
| 456 | C22×D7 | — | 16 | 1 | no | — |
| 457 | C22×D7 | — | 16 | 2 | no | — |
| 458 | C7×Q8 | — | 2 | 1 | no | — |
| 459 | C7×Q8 | — | 2 | 1 | no | — |
| 460 | C7×Q8 | — | 2 | 1 | no | — |
| 461 | C7×Q8 | — | 2 | 1 | no | — |
| 462 | C7×Q8 | — | 2 | 1 | no | — |
| 463 | C7×Q8 | #120 | 1 | 2 | yes | — |
| 464 | C7×D4 | — | 2 | 2 | no | — |
| 465 | C7×D4 | — | 2 | 2 | no | — |
| 466 | C7×D4 | — | 2 | 1 | no | — |
| 467 | C7×D4 | — | 2 | 2 | no | — |
| 468 | C7×D4 | — | 2 | 1 | no | — |
| 469 | C7×D4 | — | 2 | 1 | no | — |
| 470 | C7×D4 | — | 2 | 2 | no | — |
| 471 | C7×D4 | — | 2 | 1 | no | — |
| 472 | C7×D4 | — | 2 | 1 | no | — |
| 473 | C7×D4 | — | 4 | 4 | no | — |
| 474 | C7×D4 | — | 4 | 4 | no | — |
| 475 | C7×D4 | — | 4 | 1 | no | — |
| 476 | C7×D4 | — | 4 | 1 | no | — |
| 477 | C7×D4 | — | 4 | 1 | no | — |
| 478 | C7×D4 | — | 4 | 1 | no | — |
| 479 | C7×D4 | — | 4 | 1 | no | — |
| 480 | C7×D4 | — | 4 | 1 | no | — |
| 481 | C7×D4 | — | 16 | 2 | no | — |
| 482 | C7×D4 | #120 | 1 | 2 | yes | — |
| 483 | C2×C4×C7 | — | 2 | 1 | no | — |
| 484 | C2×C4×C7 | — | 2 | 2 | no | — |
| 485 | C2×C4×C7 | — | 2 | 2 | no | — |
| 486 | C2×C4×C7 | — | 2 | 1 | no | — |
| 487 | C2×C4×C7 | — | 2 | 1 | no | — |
| 488 | C2×C4×C7 | — | 4 | 4 | no | — |
| 489 | C2×C4×C7 | — | 4 | 1 | no | — |
| 490 | C2×C4×C7 | — | 4 | 1 | no | — |
| 491 | C2×C4×C7 | — | 4 | 1 | no | — |
| 492 | C2×C4×C7 | — | 4 | 1 | no | — |
| 493 | C2×C4×C7 | — | 4 | 1 | no | — |
| 494 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 495 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 496 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 497 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 498 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 499 | C2×C4×C7 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 500 | C22⋊D7 | — | 2 | 2 | no | — |
| 501 | C22⋊D7 | — | 2 | 2 | no | — |
| 502 | C22⋊D7 | — | 4 | 2 | no | — |
| 503 | C22⋊D7 | — | 4 | 4 | no | — |
| 504 | C22⋊D7 | — | 4 | 2 | no | — |
| 505 | C22⋊D7 | — | 4 | 1 | no | — |
| 506 | C22⋊D7 | — | 4 | 1 | no | — |
| 507 | C22⋊D7 | — | 16 | 2 | no | — |
| 508 | C2×Dic7 | — | 2 | 1 | no | — |
| 509 | C2×Dic7 | — | 2 | 1 | no | — |
| 510 | C2×Dic7 | — | 4 | 2 | no | — |
| 511 | C2×Dic7 | — | 4 | 1 | no | — |
| 512 | D28 | — | 2 | 2 | no | — |
| 513 | D28 | — | 2 | 1 | no | — |
| 514 | D28 | — | 2 | 1 | no | — |
| 515 | D28 | — | 2 | 1 | no | — |
| 516 | D28 | — | 2 | 2 | no | — |
| 517 | D28 | — | 4 | 2 | no | — |
| 518 | D28 | — | 4 | 4 | no | — |
| 519 | D28 | — | 4 | 1 | no | — |
| 520 | D28 | — | 4 | 1 | no | — |
| 521 | D28 | #120 | 1 | 2 | yes | — |
| 522 | C4×D7 | — | 2 | 2 | no | — |
| 523 | C4×D7 | — | 2 | 2 | no | — |
| 524 | C4×D7 | — | 4 | 2 | no | — |
| 525 | C4×D7 | — | 4 | 4 | no | — |
| 526 | C4×D7 | — | 4 | 2 | no | — |
| 527 | C4×D7 | — | 4 | 1 | no | — |
| 528 | C4×D7 | — | 4 | 1 | no | — |
| 529 | Dic14 | — | 2 | 1 | no | — |
| 530 | Dic14 | — | 2 | 1 | no | — |
| 531 | Dic14 | — | 2 | 1 | no | — |
| 532 | Dic14 | — | 4 | 2 | no | — |
| 533 | Dic14 | #120 | 1 | 2 | yes | — |
| 534 | C7×C8 | — | 2 | 2 | no | — |
| 535 | C7×C8 | — | 4 | 1 | no | — |
| 536 | C7⋊C8 | — | 2 | 2 | no | — |
| 537 | C7⋊C8 | — | 2 | 2 | no | — |
| 538 | C7⋊C8 | — | 2 | 2 | no | — |
| 539 | C7⋊C8 | — | 4 | 1 | no | — |
| 540 | 2−1+4 | — | 7 | 2 | no | — |
| 541 | 2−1+4 | — | 14 | 1 | no | — |
| 542 | 2−1+4 | — | 14 | 1 | no | — |
| 543 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 544 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 545 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 546 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 547 | H(5,𝔽2) | — | 7 | 2 | no | — |
| 548 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 549 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 550 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 551 | H(5,𝔽2) | — | 14 | 1 | no | — |
| 552 | H(5,𝔽2) | — | 14 | 2 | no | — |
| 553 | H(5,𝔽2) | — | 28 | 1 | no | — |
| 554 | H(5,𝔽2) | — | 28 | 1 | no | — |
| 555 | C2×#41 | — | 2 | 1 | no | — |
| 556 | C2×#41 | — | 2 | 1 | no | — |
| 557 | C2×#41 | — | 7 | 1 | no | — |
| 558 | C2×#41 | — | 7 | 1 | no | — |
| 559 | C2×#41 | — | 14 | 1 | no | — |
| 560 | C2×#41 | — | 14 | 2 | no | — |
| 561 | C2×#41 | — | 14 | 2 | no | — |
| 562 | C2×#41 | — | 14 | 1 | no | — |
| 563 | C2×#41 | — | 28 | 1 | no | — |
| 564 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 565 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 566 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 567 | C22×D4 | — | 2 | 1 | no | — |
| 568 | C22×D4 | — | 2 | 1 | no | — |
| 569 | C22×D4 | — | 4 | 1 | no | — |
| 570 | C22×D4 | — | 7 | 1 | no | — |
| 571 | C22×D4 | — | 14 | 1 | no | — |
| 572 | C22×D4 | — | 14 | 1 | no | — |
| 573 | C22×D4 | — | 28 | 1 | no | — |
| 574 | C22×D4 | C22×D7 | 1 | 1 | yes | characteristic |
| 575 | #137 | — | 2 | 1 | no | — |
| 576 | #137 | — | 2 | 1 | no | — |
| 577 | #137 | — | 2 | 1 | no | — |
| 578 | #137 | — | 7 | 2 | no | — |
| 579 | #137 | — | 14 | 4 | no | — |
| 580 | #137 | — | 14 | 1 | no | — |
| 581 | #137 | — | 14 | 1 | no | — |
| 582 | #137 | — | 14 | 1 | no | — |
| 583 | #137 | — | 14 | 4 | no | — |
| 584 | #137 | — | 14 | 1 | no | — |
| 585 | #137 | — | 14 | 1 | no | — |
| 586 | #137 | C22⋊D7 | 1 | 2 | yes | complemented |
| 587 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 588 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 589 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 590 | AGL(1,ℤ/8) | — | 7 | 2 | no | — |
| 591 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 592 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 593 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 594 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 595 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 596 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 597 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 598 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 599 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 600 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 601 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 602 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 603 | AGL(1,ℤ/8) | — | 14 | 4 | no | — |
| 604 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 605 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 606 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 607 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 608 | AGL(1,ℤ/8) | — | 14 | 1 | no | — |
| 609 | AGL(1,ℤ/8) | — | 14 | 2 | no | — |
| 610 | AGL(1,ℤ/8) | C22⋊D7 | 1 | 2 | yes | complemented |
| 611 | #135 | — | 2 | 2 | no | — |
| 612 | #135 | — | 4 | 1 | no | — |
| 613 | #135 | — | 14 | 2 | no | — |
| 614 | #135 | — | 14 | 2 | no | — |
| 615 | #135 | — | 14 | 4 | no | — |
| 616 | #135 | — | 14 | 4 | no | — |
| 617 | #135 | — | 14 | 2 | no | — |
| 618 | #135 | — | 14 | 4 | no | — |
| 619 | #135 | — | 14 | 4 | no | — |
| 620 | C2×SD16 | — | 7 | 2 | no | — |
| 621 | C2×SD16 | — | 7 | 2 | no | — |
| 622 | C2×SD16 | — | 14 | 1 | no | — |
| 623 | C2×SD16 | — | 14 | 4 | no | — |
| 624 | C2×SD16 | — | 14 | 1 | no | — |
| 625 | C2×SD16 | — | 14 | 4 | no | — |
| 626 | C2×D8 | — | 7 | 2 | no | — |
| 627 | C2×D8 | — | 7 | 2 | no | — |
| 628 | C2×D8 | — | 14 | 1 | no | — |
| 629 | C2×D8 | — | 14 | 4 | no | — |
| 630 | C2×D8 | — | 14 | 1 | no | — |
| 631 | C2×D8 | — | 14 | 4 | no | — |
| 632 | C2×D8 | — | 14 | 2 | no | — |
| 633 | C2×D8 | — | 14 | 2 | no | — |
| 634 | C2×D8 | — | 28 | 1 | no | — |
| 635 | #131 | — | 14 | 2 | no | — |
| 636 | #131 | — | 14 | 2 | no | — |
| 637 | #131 | — | 14 | 2 | no | — |
| 638 | #131 | — | 14 | 2 | no | — |
| 639 | C2×M16 | — | 7 | 1 | no | — |
| 640 | C2×M16 | — | 7 | 1 | no | — |
| 641 | C2×M16 | — | 7 | 1 | no | — |
| 642 | C2×M16 | — | 14 | 2 | no | — |
| 643 | C2×M16 | — | 14 | 2 | no | — |
| 644 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 645 | C2×M16 | C22×D7 | 1 | 1 | yes | characteristic |
| 646 | C22×C8 | — | 7 | 1 | no | — |
| 647 | #127 | — | 2 | 1 | no | — |
| 648 | #127 | — | 14 | 1 | no | — |
| 649 | #124 | — | 2 | 1 | no | — |
| 650 | #124 | — | 14 | 1 | no | — |
| 651 | #121 | — | 2 | 2 | no | — |
| 652 | #121 | — | 14 | 2 | no | — |
| 653 | #120 | — | 4 | 1 | no | — |
| 654 | #120 | — | 28 | 1 | no | — |
| 655 | #117 | — | 7 | 1 | no | — |
| 656 | #117 | C22×D7 | 1 | 1 | yes | characteristic |
| 657 | #104 | — | 2 | 2 | no | — |
| 658 | #104 | — | 2 | 2 | no | — |
| 659 | #104 | — | 14 | 2 | no | — |
| 660 | #104 | — | 14 | 2 | no | — |
| 661 | #103 | — | 14 | 1 | no | — |
| 662 | #103 | — | 14 | 1 | no | — |
| 663 | #102 | — | 14 | 2 | no | — |
| 664 | #102 | — | 14 | 1 | no | — |
| 665 | #102 | — | 14 | 2 | no | — |
| 666 | #102 | — | 14 | 1 | no | — |
| 667 | #100 | — | 2 | 2 | no | — |
| 668 | #100 | — | 14 | 2 | no | — |
| 669 | #99 | — | 28 | 1 | no | — |
| 670 | C22⋊C8 | — | 14 | 2 | no | — |
| 671 | C22⋊C8 | — | 14 | 2 | no | — |
| 672 | C22⋊C8 | — | 28 | 1 | no | — |
| 673 | C22×C7 | — | 2 | 2 | no | — |
| 674 | C22×C7 | — | 4 | 1 | no | — |
| 675 | C22×C7 | — | 4 | 2 | no | — |
| 676 | C22×C7 | — | 4 | 2 | no | — |
| 677 | C22×C7 | — | 4 | 1 | no | — |
| 678 | C22×C7 | — | 4 | 1 | no | — |
| 679 | C22×C7 | — | 4 | 2 | no | — |
| 680 | C22×C7 | — | 8 | 1 | no | — |
| 681 | C22×C7 | — | 8 | 2 | no | — |
| 682 | C22×C7 | — | 8 | 2 | no | — |
| 683 | C22×C7 | — | 16 | 1 | no | — |
| 684 | C22×C7 | — | 16 | 4 | no | — |
| 685 | C22×C7 | #534 | 1 | 1 | yes | characteristic |
| 686 | C22×C7 | D42 | 1 | 1 | yes | characteristic |
| 687 | C22×C7 | D42 | 1 | 1 | yes | characteristic |
| 688 | C2×D7 | — | 2 | 2 | no | — |
| 689 | C2×D7 | — | 4 | 1 | no | — |
| 690 | C2×D7 | — | 4 | 2 | no | — |
| 691 | C2×D7 | — | 8 | 1 | no | — |
| 692 | C2×D7 | — | 8 | 2 | no | — |
| 693 | C2×D7 | — | 8 | 2 | no | — |
| 694 | C2×D7 | — | 8 | 1 | no | — |
| 695 | C2×D7 | — | 16 | 2 | no | — |
| 696 | C2×D7 | — | 16 | 4 | no | — |
| 697 | C2×D7 | — | 16 | 1 | no | — |
| 698 | C4×C7 | — | 2 | 2 | no | — |
| 699 | C4×C7 | — | 4 | 1 | no | — |
| 700 | C4×C7 | — | 4 | 1 | no | — |
| 701 | C4×C7 | — | 8 | 1 | no | — |
| 702 | C4×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 703 | C4×C7 | C2×#120 | 1 | 1 | yes | characteristic |
| 704 | C4×C7 | D42 | 1 | 1 | yes | characteristic |
| 705 | C4×C7 | D42 | 1 | 1 | yes | characteristic |
| 706 | Dic7 | — | 2 | 2 | no | — |
| 707 | Dic7 | — | 4 | 1 | no | — |
| 708 | Dic7 | — | 8 | 1 | no | — |
| 709 | C24 | — | 2 | 1 | no | — |
| 710 | C24 | — | 4 | 1 | no | — |
| 711 | C24 | — | 14 | 1 | no | — |
| 712 | C24 | — | 28 | 1 | no | — |
| 713 | #41 | — | 2 | 1 | no | — |
| 714 | #41 | — | 2 | 1 | no | — |
| 715 | #41 | — | 2 | 4 | no | — |
| 716 | #41 | — | 2 | 1 | no | — |
| 717 | #41 | — | 2 | 1 | no | — |
| 718 | #41 | — | 2 | 1 | no | — |
| 719 | #41 | — | 2 | 1 | no | — |
| 720 | #41 | — | 2 | 1 | no | — |
| 721 | #41 | — | 2 | 1 | no | — |
| 722 | #41 | — | 2 | 1 | no | — |
| 723 | #41 | — | 2 | 1 | no | — |
| 724 | #41 | — | 4 | 2 | no | — |
| 725 | #41 | — | 4 | 2 | no | — |
| 726 | #41 | — | 4 | 2 | no | — |
| 727 | #41 | — | 7 | 2 | no | — |
| 728 | #41 | — | 7 | 2 | no | — |
| 729 | #41 | — | 14 | 2 | no | — |
| 730 | #41 | — | 14 | 2 | no | — |
| 731 | #41 | — | 14 | 1 | no | — |
| 732 | #41 | — | 14 | 1 | no | — |
| 733 | #41 | — | 14 | 4 | no | — |
| 734 | #41 | — | 14 | 2 | no | — |
| 735 | #41 | — | 14 | 2 | no | — |
| 736 | #41 | — | 14 | 1 | no | — |
| 737 | #41 | — | 14 | 1 | no | — |
| 738 | #41 | — | 14 | 1 | no | — |
| 739 | #41 | — | 14 | 1 | no | — |
| 740 | #41 | — | 28 | 2 | no | — |
| 741 | #41 | — | 28 | 2 | no | — |
| 742 | #41 | — | 28 | 2 | no | — |
| 743 | #41 | — | 28 | 2 | no | — |
| 744 | #41 | — | 28 | 2 | no | — |
| 745 | #41 | — | 28 | 2 | no | — |
| 746 | #41 | — | 28 | 2 | no | — |
| 747 | #41 | — | 28 | 1 | no | — |
| 748 | #41 | — | 28 | 1 | no | — |
| 749 | #41 | D4×D7 | 1 | 2 | yes | — |
| 750 | #41 | C2×C22⋊D7 | 1 | 2 | yes | — |
| 751 | C2×Q8 | — | 7 | 1 | no | — |
| 752 | C2×Q8 | — | 7 | 1 | no | — |
| 753 | C2×Q8 | — | 14 | 2 | no | — |
| 754 | C2×Q8 | — | 14 | 2 | no | — |
| 755 | C2×Q8 | — | 28 | 1 | no | — |
| 756 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 757 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 758 | C2×Q8 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 759 | C2×D4 | — | 2 | 1 | no | — |
| 760 | C2×D4 | — | 2 | 4 | no | — |
| 761 | C2×D4 | — | 2 | 1 | no | — |
| 762 | C2×D4 | — | 2 | 1 | no | — |
| 763 | C2×D4 | — | 2 | 1 | no | — |
| 764 | C2×D4 | — | 2 | 1 | no | — |
| 765 | C2×D4 | — | 2 | 1 | no | — |
| 766 | C2×D4 | — | 2 | 1 | no | — |
| 767 | C2×D4 | — | 2 | 1 | no | — |
| 768 | C2×D4 | — | 4 | 2 | no | — |
| 769 | C2×D4 | — | 4 | 1 | no | — |
| 770 | C2×D4 | — | 4 | 1 | no | — |
| 771 | C2×D4 | — | 4 | 2 | no | — |
| 772 | C2×D4 | — | 4 | 4 | no | — |
| 773 | C2×D4 | — | 4 | 4 | no | — |
| 774 | C2×D4 | — | 4 | 2 | no | — |
| 775 | C2×D4 | — | 4 | 2 | no | — |
| 776 | C2×D4 | — | 7 | 1 | no | — |
| 777 | C2×D4 | — | 7 | 2 | no | — |
| 778 | C2×D4 | — | 7 | 1 | no | — |
| 779 | C2×D4 | — | 14 | 2 | no | — |
| 780 | C2×D4 | — | 14 | 4 | no | — |
| 781 | C2×D4 | — | 14 | 1 | no | — |
| 782 | C2×D4 | — | 14 | 2 | no | — |
| 783 | C2×D4 | — | 14 | 1 | no | — |
| 784 | C2×D4 | — | 14 | 1 | no | — |
| 785 | C2×D4 | — | 14 | 1 | no | — |
| 786 | C2×D4 | — | 14 | 1 | no | — |
| 787 | C2×D4 | — | 14 | 1 | no | — |
| 788 | C2×D4 | — | 14 | 1 | no | — |
| 789 | C2×D4 | — | 28 | 1 | no | — |
| 790 | C2×D4 | — | 28 | 2 | no | — |
| 791 | C2×D4 | — | 28 | 2 | no | — |
| 792 | C2×D4 | — | 28 | 2 | no | — |
| 793 | C2×D4 | — | 28 | 1 | no | — |
| 794 | C2×D4 | — | 28 | 2 | no | — |
| 795 | C2×D4 | — | 28 | 1 | no | — |
| 796 | C2×D4 | — | 28 | 2 | no | — |
| 797 | C2×D4 | — | 28 | 4 | no | — |
| 798 | C2×D4 | — | 28 | 4 | no | — |
| 799 | C2×D4 | — | 28 | 2 | no | — |
| 800 | C2×D4 | — | 28 | 2 | no | — |
| 801 | C2×D4 | D4×D7 | 1 | 2 | yes | — |
| 802 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 803 | C2×D4 | D4×D7 | 1 | 1 | yes | characteristic |
| 804 | C2×D4 | C2×C22⋊D7 | 1 | 1 | yes | characteristic |
| 805 | C22×C4 | — | 2 | 1 | no | — |
| 806 | C22×C4 | — | 2 | 1 | no | — |
| 807 | C22×C4 | — | 2 | 1 | no | — |
| 808 | C22×C4 | — | 4 | 1 | no | — |
| 809 | C22×C4 | — | 14 | 1 | no | — |
| 810 | C22×C4 | — | 14 | 1 | no | — |
| 811 | C22×C4 | — | 28 | 1 | no | — |
| 812 | C22×C4 | — | 28 | 2 | no | — |
| 813 | C22×C4 | C23×D7 | 1 | 1 | yes | characteristic |
| 814 | Q16 | — | 2 | 2 | no | — |
| 815 | Q16 | — | 4 | 1 | no | — |
| 816 | Q16 | — | 14 | 2 | no | — |
| 817 | Q16 | — | 14 | 2 | no | — |
| 818 | Q16 | — | 14 | 2 | no | — |
| 819 | SD16 | — | 2 | 2 | no | — |
| 820 | SD16 | — | 2 | 2 | no | — |
| 821 | SD16 | — | 4 | 1 | no | — |
| 822 | SD16 | — | 4 | 1 | no | — |
| 823 | SD16 | — | 14 | 4 | no | — |
| 824 | SD16 | — | 14 | 4 | no | — |
| 825 | SD16 | — | 14 | 2 | no | — |
| 826 | SD16 | — | 14 | 2 | no | — |
| 827 | SD16 | — | 14 | 2 | no | — |
| 828 | SD16 | — | 14 | 4 | no | — |
| 829 | SD16 | — | 14 | 2 | no | — |
| 830 | SD16 | — | 14 | 2 | no | — |
| 831 | SD16 | — | 14 | 2 | no | — |
| 832 | SD16 | — | 14 | 4 | no | — |
| 833 | D8 | — | 2 | 2 | no | — |
| 834 | D8 | — | 4 | 1 | no | — |
| 835 | D8 | — | 14 | 4 | no | — |
| 836 | D8 | — | 14 | 4 | no | — |
| 837 | D8 | — | 14 | 2 | no | — |
| 838 | D8 | — | 14 | 2 | no | — |
| 839 | D8 | — | 14 | 2 | no | — |
| 840 | D8 | — | 14 | 4 | no | — |
| 841 | D8 | — | 14 | 4 | no | — |
| 842 | D8 | — | 28 | 4 | no | — |
| 843 | M16 | — | 2 | 1 | no | — |
| 844 | M16 | — | 2 | 1 | no | — |
| 845 | M16 | — | 2 | 1 | no | — |
| 846 | M16 | — | 7 | 2 | no | — |
| 847 | M16 | — | 14 | 4 | no | — |
| 848 | M16 | — | 14 | 4 | no | — |
| 849 | M16 | — | 14 | 1 | no | — |
| 850 | M16 | — | 14 | 1 | no | — |
| 851 | M16 | — | 14 | 1 | no | — |
| 852 | M16 | — | 14 | 1 | no | — |
| 853 | M16 | — | 14 | 1 | no | — |
| 854 | M16 | C2×C22⋊D7 | 1 | 2 | yes | — |
| 855 | C2×C8 | — | 2 | 1 | no | — |
| 856 | C2×C8 | — | 2 | 1 | no | — |
| 857 | C2×C8 | — | 7 | 2 | no | — |
| 858 | C2×C8 | — | 7 | 2 | no | — |
| 859 | C2×C8 | — | 14 | 4 | no | — |
| 860 | C2×C8 | — | 14 | 4 | no | — |
| 861 | C2×C8 | — | 14 | 1 | no | — |
| 862 | C2×C8 | — | 14 | 1 | no | — |
| 863 | C2×C8 | — | 14 | 1 | no | — |
| 864 | C2×C8 | — | 14 | 1 | no | — |
| 865 | C4⋊C4 | — | 2 | 1 | no | — |
| 866 | C4⋊C4 | — | 14 | 1 | no | — |
| 867 | C22⋊C4 | — | 2 | 1 | no | — |
| 868 | C22⋊C4 | — | 4 | 2 | no | — |
| 869 | C22⋊C4 | — | 14 | 1 | no | — |
| 870 | C22⋊C4 | — | 28 | 2 | no | — |
| 871 | C42 | — | 2 | 1 | no | — |
| 872 | C42 | — | 14 | 1 | no | — |
| 873 | C2×C7 | — | 2 | 1 | no | — |
| 874 | C2×C7 | — | 2 | 1 | no | — |
| 875 | C2×C7 | — | 2 | 1 | no | — |
| 876 | C2×C7 | — | 4 | 2 | no | — |
| 877 | C2×C7 | — | 8 | 1 | no | — |
| 878 | C2×C7 | — | 8 | 1 | no | — |
| 879 | C2×C7 | — | 8 | 2 | no | — |
| 880 | C2×C7 | #2403 | 1 | 1 | yes | characteristic |
| 881 | D7 | — | 4 | 2 | no | — |
| 882 | D7 | — | 8 | 2 | no | — |
| 883 | D7 | — | 8 | 1 | no | — |
| 884 | C23 | — | 2 | 1 | no | — |
| 885 | C23 | — | 2 | 1 | no | — |
| 886 | C23 | — | 2 | 1 | no | — |
| 887 | C23 | — | 2 | 2 | no | — |
| 888 | C23 | — | 4 | 4 | no | — |
| 889 | C23 | — | 4 | 1 | no | — |
| 890 | C23 | — | 4 | 1 | no | — |
| 891 | C23 | — | 14 | 1 | no | — |
| 892 | C23 | — | 14 | 1 | no | — |
| 893 | C23 | — | 14 | 2 | no | — |
| 894 | C23 | — | 16 | 1 | no | — |
| 895 | C23 | — | 16 | 2 | no | — |
| 896 | C23 | — | 28 | 2 | no | — |
| 897 | C23 | — | 28 | 4 | no | — |
| 898 | C23 | — | 28 | 1 | no | — |
| 899 | C23 | — | 28 | 1 | no | — |
| 900 | C23 | — | 112 | 1 | no | — |
| 901 | C23 | — | 112 | 2 | no | — |
| 902 | C23 | #6548 | 1 | 1 | yes | characteristic |
| 903 | Q8 | — | 2 | 1 | no | — |
| 904 | Q8 | — | 2 | 1 | no | — |
| 905 | Q8 | — | 2 | 1 | no | — |
| 906 | Q8 | — | 2 | 1 | no | — |
| 907 | Q8 | — | 2 | 1 | no | — |
| 908 | Q8 | — | 7 | 2 | no | — |
| 909 | Q8 | — | 14 | 1 | no | — |
| 910 | Q8 | — | 14 | 1 | no | — |
| 911 | Q8 | — | 14 | 1 | no | — |
| 912 | Q8 | — | 28 | 2 | no | — |
| 913 | Q8 | #6500 | 1 | 2 | yes | — |
| 914 | D4 | — | 2 | 2 | no | — |
| 915 | D4 | — | 2 | 2 | no | — |
| 916 | D4 | — | 2 | 1 | no | — |
| 917 | D4 | — | 2 | 1 | no | — |
| 918 | D4 | — | 2 | 1 | no | — |
| 919 | D4 | — | 2 | 2 | no | — |
| 920 | D4 | — | 2 | 1 | no | — |
| 921 | D4 | — | 2 | 1 | no | — |
| 922 | D4 | — | 2 | 2 | no | — |
| 923 | D4 | — | 4 | 4 | no | — |
| 924 | D4 | — | 4 | 4 | no | — |
| 925 | D4 | — | 4 | 1 | no | — |
| 926 | D4 | — | 4 | 1 | no | — |
| 927 | D4 | — | 4 | 1 | no | — |
| 928 | D4 | — | 4 | 1 | no | — |
| 929 | D4 | — | 4 | 1 | no | — |
| 930 | D4 | — | 4 | 1 | no | — |
| 931 | D4 | — | 7 | 2 | no | — |
| 932 | D4 | — | 14 | 2 | no | — |
| 933 | D4 | — | 14 | 2 | no | — |
| 934 | D4 | — | 14 | 1 | no | — |
| 935 | D4 | — | 14 | 2 | no | — |
| 936 | D4 | — | 14 | 1 | no | — |
| 937 | D4 | — | 14 | 1 | no | — |
| 938 | D4 | — | 14 | 2 | no | — |
| 939 | D4 | — | 16 | 2 | no | — |
| 940 | D4 | — | 28 | 2 | no | — |
| 941 | D4 | — | 28 | 4 | no | — |
| 942 | D4 | — | 28 | 2 | no | — |
| 943 | D4 | — | 28 | 4 | no | — |
| 944 | D4 | — | 28 | 2 | no | — |
| 945 | D4 | — | 28 | 1 | no | — |
| 946 | D4 | — | 28 | 1 | no | — |
| 947 | D4 | — | 28 | 1 | no | — |
| 948 | D4 | — | 28 | 1 | no | — |
| 949 | D4 | — | 112 | 2 | no | — |
| 950 | D4 | #6500 | 1 | 2 | yes | — |
| 951 | C2×C4 | — | 2 | 1 | no | — |
| 952 | C2×C4 | — | 2 | 2 | no | — |
| 953 | C2×C4 | — | 2 | 2 | no | — |
| 954 | C2×C4 | — | 2 | 1 | no | — |
| 955 | C2×C4 | — | 2 | 1 | no | — |
| 956 | C2×C4 | — | 4 | 4 | no | — |
| 957 | C2×C4 | — | 4 | 1 | no | — |
| 958 | C2×C4 | — | 4 | 1 | no | — |
| 959 | C2×C4 | — | 4 | 1 | no | — |
| 960 | C2×C4 | — | 4 | 1 | no | — |
| 961 | C2×C4 | — | 4 | 1 | no | — |
| 962 | C2×C4 | — | 14 | 1 | no | — |
| 963 | C2×C4 | — | 14 | 2 | no | — |
| 964 | C2×C4 | — | 14 | 2 | no | — |
| 965 | C2×C4 | — | 14 | 1 | no | — |
| 966 | C2×C4 | — | 28 | 2 | no | — |
| 967 | C2×C4 | — | 28 | 2 | no | — |
| 968 | C2×C4 | — | 28 | 4 | no | — |
| 969 | C2×C4 | — | 28 | 2 | no | — |
| 970 | C2×C4 | — | 28 | 1 | no | — |
| 971 | C2×C4 | — | 28 | 1 | no | — |
| 972 | C2×C4 | — | 28 | 1 | no | — |
| 973 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 974 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 975 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 976 | C2×C4 | C2×D4×D7 | 1 | 1 | yes | characteristic |
| 977 | C2×C4 | #6548 | 1 | 1 | yes | characteristic |
| 978 | C2×C4 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 979 | C8 | — | 2 | 2 | no | — |
| 980 | C8 | — | 4 | 1 | no | — |
| 981 | C8 | — | 14 | 2 | no | — |
| 982 | C8 | — | 14 | 2 | no | — |
| 983 | C8 | — | 14 | 2 | no | — |
| 984 | C8 | — | 28 | 1 | no | — |
| 985 | C7 | #23892 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 986 | C22 | — | 2 | 2 | no | — |
| 987 | C22 | — | 4 | 1 | no | — |
| 988 | C22 | — | 4 | 2 | no | — |
| 989 | C22 | — | 4 | 2 | no | — |
| 990 | C22 | — | 4 | 1 | no | — |
| 991 | C22 | — | 4 | 2 | no | — |
| 992 | C22 | — | 4 | 1 | no | — |
| 993 | C22 | — | 8 | 1 | no | — |
| 994 | C22 | — | 8 | 2 | no | — |
| 995 | C22 | — | 8 | 2 | no | — |
| 996 | C22 | — | 14 | 2 | no | — |
| 997 | C22 | — | 16 | 1 | no | — |
| 998 | C22 | — | 16 | 4 | no | — |
| 999 | C22 | — | 28 | 1 | no | — |
| 1000 | C22 | — | 28 | 2 | no | — |
| 1001 | C22 | — | 56 | 1 | no | — |
| 1002 | C22 | — | 56 | 2 | no | — |
| 1003 | C22 | — | 56 | 1 | no | — |
| 1004 | C22 | — | 56 | 2 | no | — |
| 1005 | C22 | — | 112 | 1 | no | — |
| 1006 | C22 | — | 112 | 2 | no | — |
| 1007 | C22 | — | 112 | 4 | no | — |
| 1008 | C22 | #90280 | 1 | 1 | yes | characteristic |
| 1009 | C22 | #90281 | 1 | 1 | yes | characteristic |
| 1010 | C22 | D4×C22⋊D7 | 1 | 1 | yes | characteristic |
| 1011 | C4 | — | 2 | 2 | no | — |
| 1012 | C4 | — | 4 | 1 | no | — |
| 1013 | C4 | — | 4 | 1 | no | — |
| 1014 | C4 | — | 8 | 1 | no | — |
| 1015 | C4 | — | 14 | 2 | no | — |
| 1016 | C4 | — | 28 | 1 | no | — |
| 1017 | C4 | — | 56 | 1 | no | — |
| 1018 | C4 | D7×#120 | 1 | 1 | yes | characteristic |
| 1019 | C4 | #90281 | 1 | 1 | yes | characteristic |
| 1020 | C4 | C2×#6500 | 1 | 1 | yes | characteristic |
| 1021 | C4 | D4×C22⋊D7 | 1 | 1 | yes | characteristic |
| 1022 | C2 | — | 2 | 1 | no | — |
| 1023 | C2 | — | 2 | 1 | no | — |
| 1024 | C2 | — | 2 | 1 | no | — |
| 1025 | C2 | — | 4 | 2 | no | — |
| 1026 | C2 | — | 8 | 1 | no | — |
| 1027 | C2 | — | 8 | 1 | no | — |
| 1028 | C2 | — | 8 | 2 | no | — |
| 1029 | C2 | — | 28 | 2 | no | — |
| 1030 | C2 | — | 56 | 2 | no | — |
| 1031 | C2 | — | 56 | 1 | no | — |
| 1032 | C2 | #11740049 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11744345 | C2 | semidirect |
| 2. #11744268 | C2 | semidirect |
| 3. C7×#3019 | C2 | semidirect |
| 4. #11741546 | C2 | semidirect |
| 5. #11741450 | C2 | semidirect |
| 6. #11740828 | C2 | semidirect |
| 7. #11729875 | C2 | semidirect |
| 8. #11729870 | C2 | semidirect |
| 9. #11729612 | C2 | semidirect |
| 10. #11728170 | C2 | semidirect |
| 11. #11728167 | C2 | semidirect |
| 12. #11728163 | C2 | semidirect |
| 13. #11728154 | C2 | semidirect |
| 14. #11727844 | C2 | semidirect |
| 15. #11727841 | C2 | semidirect |
| 16. C2×C7×H(5,𝔽2) | C22 | semidirect |
| 18. C2×#6553 | C22 | semidirect |
| 20. C7×#575 | C22 | semidirect |
| 21. C7×#535 | C22 | semidirect |
| 26. #90521 | C22 | semidirect |
| 29. #90513 | C22 | semidirect |
| 30. #90513 | C22 | semidirect |
| 32. #90510 | C22 | semidirect |
| 35. C2×#6495 | C22 | semidirect |
| 36. C22×#1141 | C22 | semidirect |
| 43. C2×#6471 | C22 | semidirect |
| 44. #90436 | C22 | semidirect |
| 47. C7×#421 | C22 | semidirect |
| 48. C7×#421 | C22 | semidirect |
| 49. C2×C7×#100 | C22 | semidirect |
| 51. #90008 | C22 | semidirect |
| 52. #90006 | C22 | semidirect |
| 53. #90006 | C22 | semidirect |
| 54. #90005 | C22 | semidirect |
| 56. #89987 | C22 | semidirect |
| 59. #89911 | C22 | semidirect |
| 60. C2×#6397 | C22 | semidirect |
| 61. #89901 | C22 | semidirect |
| 64. #89778 | C22 | semidirect |
| 65. #89774 | C22 | semidirect |
| 66. #89773 | C22 | semidirect |
| 67. C7⋊#338 | C22 | semidirect |
| 68. #89354 | C22 | semidirect |
| 69. #89353 | C22 | semidirect |
| 70. #89328 | C22 | semidirect |
| 86. #6554 | D4 | semidirect |
| 92. #6553 | D4 | semidirect |
| 110. C7×#137 | D4 | semidirect |
| 114. C7×AGL(1,ℤ/8) | D4 | semidirect |
| 144. #6505 | D4 | semidirect |
| 145. C2×#1143 | D4 | semidirect |
| 150. C2×#1142 | D4 | semidirect |
| 159. #6495 | D4 | semidirect |
| 165. C2×#1141 | D4 | semidirect |
| 166. C2×#1141 | D4 | semidirect |
| 208. #3019 | D7 | semidirect |
| 386. C2×H(5,𝔽2) | C2×D7 | semidirect |
| 401. #575 | C2×D7 | semidirect |
| 412. #535 | C2×D7 | semidirect |
| 423. #421 | C2×D7 | semidirect |
| 424. #421 | C2×D7 | semidirect |
| 430. C2×#100 | C2×D7 | semidirect |
| 586. #137 | C22⋊D7 | semidirect |
| 610. AGL(1,ℤ/8) | C22⋊D7 | semidirect |
| 985. C7 | #23892 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11744345 | 2 |
| #11744268 | 2 |
| C7×#3019 | 2 |
| #11741546 | 2 |
| #11741450 | 2 |
| #11740828 | 2 |
| #11729875 | 2 |
| #11729870 | 2 |
| #11729612 | 2 |
| #11728170 | 2 |
| #11728167 | 2 |
| #11728163 | 2 |
| #11728154 | 2 |
| #11727844 | 2 |
| #11727841 | 2 |
| #23892 | 7 |