← D7×#3503 #14262119
Subgroups — D7×#3503 #14262119
Order 1792.
7478 conjugacy classes of subgroups.
The subgroup lattice has 998 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C7×#3503 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | Q82×D7 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #11744109 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | D7×#557 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #11744086 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | D7×#554 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #11743994 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | D4×Q8×D7 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | #11743815 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | D7×#544 | C2 | 1 | 6 | yes | maximal, complemented |
| 11 | #11743654 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #11743349 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | D7×#533 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #11743283 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×D7×C4⋊Q8 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | D7×#520 | C2 | 1 | 2 | yes | maximal |
| 17 | #11742957 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | C4×D7×#41 | C2 | 1 | 1 | yes | maximal, characteristic |
| 19 | #11742896 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | C2×D7×#41 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×Q8×D7 | C22 | 1 | 6 | yes | — |
| 22 | C7×Q82 | C22 | 1 | 2 | yes | complemented |
| 23 | C7×#557 | C22 | 1 | 2 | yes | complemented |
| 24 | C7×#554 | C22 | 1 | 6 | yes | complemented |
| 25 | C7×D4×Q8 | C22 | 1 | 6 | yes | complemented |
| 26 | C7×#544 | C22 | 1 | 6 | yes | complemented |
| 27 | C7×#533 | C22 | 1 | 3 | yes | complemented |
| 28 | C2×C7×C4⋊Q8 | C22 | 1 | 3 | yes | complemented |
| 29 | C7×#520 | C22 | 1 | 2 | yes | — |
| 30 | C4×C7×#41 | C22 | 1 | 1 | yes | characteristic |
| 31 | #90518 | C22 | 1 | 2 | yes | — |
| 32 | #41×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 33 | Q8×C22⋊D7 | C22 | 1 | 12 | yes | complemented |
| 34 | C2×#6507 | C22 | 1 | 6 | yes | complemented |
| 35 | #90421 | C22 | 1 | 6 | yes | complemented |
| 36 | #90420 | C22 | 1 | 12 | yes | complemented |
| 37 | #90420 | C22 | 1 | 12 | yes | complemented |
| 38 | #90419 | C22 | 1 | 3 | yes | complemented |
| 39 | #90419 | C22 | 1 | 3 | yes | complemented |
| 40 | #90418 | C22 | 1 | 6 | yes | complemented |
| 41 | #90418 | C22 | 1 | 12 | yes | complemented |
| 42 | D7×C4⋊Q8 | C22 | 1 | 6 | yes | — |
| 43 | D7×C4⋊Q8 | C22 | 1 | 3 | yes | — |
| 44 | D7×C4⋊Q8 | C22 | 1 | 6 | yes | — |
| 45 | D7×C4⋊Q8 | C22 | 1 | 6 | yes | — |
| 46 | D7×C4⋊Q8 | C22 | 1 | 12 | yes | — |
| 47 | D7×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 48 | D7×C4⋊Q8 | C22 | 1 | 6 | yes | complemented |
| 49 | D7×C4⋊Q8 | C22 | 1 | 6 | yes | complemented |
| 50 | D7×C4⋊Q8 | C22 | 1 | 6 | yes | complemented |
| 51 | D7×C4⋊Q8 | C22 | 1 | 6 | yes | complemented |
| 52 | #90413 | C22 | 1 | 6 | yes | complemented |
| 53 | #90413 | C22 | 1 | 12 | yes | complemented |
| 54 | #90412 | C22 | 1 | 6 | yes | complemented |
| 55 | #90381 | C22 | 1 | 12 | yes | complemented |
| 56 | #90380 | C22 | 1 | 12 | yes | complemented |
| 57 | #90380 | C22 | 1 | 12 | yes | complemented |
| 58 | #90379 | C22 | 1 | 6 | yes | complemented |
| 59 | D7×#125 | C22 | 1 | 12 | yes | — |
| 60 | D7×#125 | C22 | 1 | 6 | yes | — |
| 61 | #90376 | C22 | 1 | 12 | yes | complemented |
| 62 | #90327 | C22 | 1 | 24 | yes | complemented |
| 63 | #90326 | C22 | 1 | 12 | yes | complemented |
| 64 | #90323 | C22 | 1 | 12 | yes | complemented |
| 65 | #90323 | C22 | 1 | 24 | yes | complemented |
| 66 | D7×C22⋊Q8 | C22 | 1 | 6 | yes | — |
| 67 | D7×C22⋊Q8 | C22 | 1 | 24 | yes | — |
| 68 | D7×C22⋊Q8 | C22 | 1 | 6 | yes | — |
| 69 | #90314 | C22 | 1 | 24 | yes | complemented |
| 70 | #90313 | C22 | 1 | 6 | yes | complemented |
| 71 | #90313 | C22 | 1 | 6 | yes | complemented |
| 72 | #90270 | C22 | 1 | 6 | yes | complemented |
| 73 | #90269 | C22 | 1 | 6 | yes | complemented |
| 74 | #90269 | C22 | 1 | 6 | yes | complemented |
| 75 | Q8×D28 | C22 | 1 | 6 | yes | complemented |
| 76 | #90265 | C22 | 1 | 4 | yes | — |
| 77 | C4×#1161 | C22 | 1 | 1 | yes | characteristic |
| 78 | C4×#1161 | C22 | 1 | 1 | yes | characteristic |
| 79 | C4×Q8×D7 | C22 | 1 | 6 | yes | — |
| 80 | C4×Q8×D7 | C22 | 1 | 6 | yes | — |
| 81 | C4×Q8×D7 | C22 | 1 | 1 | yes | characteristic |
| 82 | C4×Q8×D7 | C22 | 1 | 4 | yes | — |
| 83 | C4×Q8×D7 | C22 | 1 | 1 | yes | characteristic |
| 84 | #90261 | C22 | 1 | 2 | yes | complemented |
| 85 | #90260 | C22 | 1 | 4 | yes | complemented |
| 86 | #90258 | C22 | 1 | 6 | yes | complemented |
| 87 | Q8×Dic14 | C22 | 1 | 4 | yes | complemented |
| 88 | Q8×Dic14 | C22 | 1 | 2 | yes | complemented |
| 89 | Q8×Dic14 | C22 | 1 | 6 | yes | complemented |
| 90 | #90237 | C22 | 1 | 12 | yes | — |
| 91 | C4×D4×D7 | C22 | 1 | 3 | yes | — |
| 92 | C4×D4×D7 | C22 | 1 | 12 | yes | — |
| 93 | C4×D4×D7 | C22 | 1 | 3 | yes | — |
| 94 | #90234 | C22 | 1 | 6 | yes | complemented |
| 95 | #90230 | C22 | 1 | 12 | yes | complemented |
| 96 | D4×Dic14 | C22 | 1 | 6 | yes | complemented |
| 97 | D4×Dic14 | C22 | 1 | 12 | yes | complemented |
| 98 | C4×#1159 | C22 | 1 | 3 | yes | — |
| 99 | C4×#1159 | C22 | 1 | 3 | yes | — |
| 100 | #90214 | C22 | 1 | 6 | yes | — |
| 101 | #90213 | C22 | 1 | 3 | yes | — |
| 102 | D7×#117 | C22 | 1 | 6 | yes | — |
| 103 | D7×#117 | C22 | 1 | 3 | yes | — |
| 104 | #90210 | C22 | 1 | 6 | yes | complemented |
| 105 | #90210 | C22 | 1 | 6 | yes | complemented |
| 106 | #90208 | C22 | 1 | 6 | yes | complemented |
| 107 | #90202 | C22 | 1 | 12 | yes | complemented |
| 108 | #90195 | C22 | 1 | 6 | yes | — |
| 109 | C2×D7×C4⋊C4 | C22 | 1 | 6 | yes | — |
| 110 | C2×D7×C4⋊C4 | C22 | 1 | 6 | yes | — |
| 111 | #90191 | C22 | 1 | 6 | yes | complemented |
| 112 | C2×#6451 | C22 | 1 | 6 | yes | complemented |
| 113 | C2×#6451 | C22 | 1 | 6 | yes | complemented |
| 114 | C4×#1157 | C22 | 1 | 3 | yes | — |
| 115 | C2×C42×D7 | C22 | 1 | 3 | yes | — |
| 116 | #90161 | C22 | 1 | 3 | yes | complemented |
| 117 | C2×#6432 | C22 | 1 | 3 | yes | complemented |
| 118 | C2×#3503 | — | 7 | 1 | no | maximal, Sylow |
| 119 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 120 | C22×C7×Q8 | C23 | 1 | 6 | yes | — |
| 121 | D7×#41 | Q8 | 1 | 16 | yes | complemented |
| 122 | C2×#1161 | C23 | 1 | 1 | yes | characteristic |
| 123 | C2×Q8×D7 | — | 4 | 24 | no | — |
| 124 | C2×Q8×D7 | C23 | 1 | 6 | yes | — |
| 125 | C2×Q8×D7 | C23 | 1 | 2 | yes | — |
| 126 | C2×Q8×D7 | C23 | 1 | 12 | yes | — |
| 127 | C2×Q8×D7 | C23 | 1 | 12 | yes | — |
| 128 | C2×Q8×D7 | C23 | 1 | 12 | yes | — |
| 129 | C2×Q8×D7 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×#1159 | C23 | 1 | 3 | yes | — |
| 131 | C2×D4×D7 | C23 | 1 | 3 | yes | — |
| 132 | C2×#1157 | C23 | 1 | 3 | yes | — |
| 133 | C22×C4×D7 | C23 | 1 | 3 | yes | — |
| 134 | C22×C4×D7 | C23 | 1 | 3 | yes | — |
| 135 | C22×C4×D7 | C23 | 1 | 12 | yes | — |
| 136 | C22×C4×D7 | C23 | 1 | 3 | yes | — |
| 137 | C22×Dic14 | C23 | 1 | 6 | yes | — |
| 138 | C22×Dic14 | C23 | 1 | 12 | yes | — |
| 139 | C7×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 140 | C7×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 141 | C7×C4⋊Q8 | C23 | 1 | 12 | yes | — |
| 142 | C7×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 143 | C7×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 144 | C7×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 145 | C7×#125 | C23 | 1 | 12 | yes | — |
| 146 | C7×#125 | C23 | 1 | 6 | yes | — |
| 147 | C7×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 148 | C7×C22⋊Q8 | C23 | 1 | 6 | yes | — |
| 149 | C7×C22⋊Q8 | C23 | 1 | 24 | yes | — |
| 150 | C4×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 151 | C4×C7×Q8 | C23 | 1 | 4 | yes | — |
| 152 | C4×C7×Q8 | C23 | 1 | 6 | yes | — |
| 153 | C4×C7×Q8 | C23 | 1 | 6 | yes | — |
| 154 | C4×C7×Q8 | C23 | 1 | 1 | yes | characteristic |
| 155 | C4×C7×D4 | C23 | 1 | 3 | yes | — |
| 156 | C4×C7×D4 | C23 | 1 | 3 | yes | — |
| 157 | C4×C7×D4 | C23 | 1 | 12 | yes | — |
| 158 | C7×#117 | C23 | 1 | 6 | yes | — |
| 159 | C7×#117 | C23 | 1 | 3 | yes | — |
| 160 | C2×C7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 161 | C2×C7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 162 | C2×C42×C7 | C23 | 1 | 3 | yes | — |
| 163 | #6509 | C23 | 1 | 6 | yes | — |
| 164 | #6509 | C23 | 1 | 24 | yes | — |
| 165 | #6509 | C23 | 1 | 6 | yes | — |
| 166 | Q8×Dic7 | C23 | 1 | 6 | yes | — |
| 167 | Q8×Dic7 | C23 | 1 | 6 | yes | — |
| 168 | Q8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 169 | Q8×Dic7 | C23 | 1 | 4 | yes | — |
| 170 | Q8×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 171 | #6507 | C23 | 1 | 12 | yes | — |
| 172 | #6507 | C23 | 1 | 12 | yes | — |
| 173 | #6507 | C23 | 1 | 24 | yes | — |
| 174 | #6507 | C23 | 1 | 6 | yes | — |
| 175 | #6507 | C23 | 1 | 12 | yes | — |
| 176 | #6507 | C23 | 1 | 2 | yes | — |
| 177 | D4×Dic7 | C23 | 1 | 3 | yes | — |
| 178 | D4×Dic7 | C23 | 1 | 3 | yes | — |
| 179 | D4×Dic7 | C23 | 1 | 12 | yes | — |
| 180 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 181 | C4×C22⋊D7 | C23 | 1 | 6 | yes | — |
| 182 | C4×C22⋊D7 | C23 | 1 | 24 | yes | — |
| 183 | #6489 | C23 | 1 | 6 | yes | — |
| 184 | #6489 | C23 | 1 | 3 | yes | — |
| 185 | C2×C4⋊Dic7 | C23 | 1 | 6 | yes | — |
| 186 | C2×C4⋊Dic7 | C23 | 1 | 6 | yes | — |
| 187 | #6487 | C23 | 1 | 6 | yes | — |
| 188 | #6487 | C23 | 1 | 6 | yes | — |
| 189 | #6487 | C23 | 1 | 24 | yes | — |
| 190 | C2×Dic7⋊C4 | C23 | 1 | 12 | yes | — |
| 191 | C2×Dic7⋊C4 | C23 | 1 | 12 | yes | — |
| 192 | C2×C4×Dic7 | C23 | 1 | 3 | yes | — |
| 193 | C2×C4×Dic7 | C23 | 1 | 3 | yes | — |
| 194 | C2×C4×Dic7 | C23 | 1 | 3 | yes | — |
| 195 | #6460 | C23 | 1 | 24 | yes | — |
| 196 | #6460 | C23 | 1 | 6 | yes | — |
| 197 | #6460 | C23 | 1 | 6 | yes | — |
| 198 | #6459 | C23 | 1 | 12 | yes | — |
| 199 | #6459 | C23 | 1 | 12 | yes | — |
| 200 | #6459 | C23 | 1 | 24 | yes | — |
| 201 | #6459 | C23 | 1 | 24 | yes | — |
| 202 | #6456 | C23 | 1 | 3 | yes | — |
| 203 | #6456 | C23 | 1 | 12 | yes | — |
| 204 | #6456 | C23 | 1 | 3 | yes | — |
| 205 | #6455 | C23 | 1 | 6 | yes | — |
| 206 | #6455 | C23 | 1 | 6 | yes | — |
| 207 | #6455 | C23 | 1 | 3 | yes | — |
| 208 | #6455 | C23 | 1 | 3 | yes | — |
| 209 | D7×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 210 | D7×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 211 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 212 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 213 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 214 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 215 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 216 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 217 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 218 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 219 | D7×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 220 | D7×C4⋊C4 | C23 | 1 | 6 | yes | — |
| 221 | D7×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 222 | D7×C4⋊C4 | C23 | 1 | 12 | yes | — |
| 223 | #6453 | C23 | 1 | 12 | yes | — |
| 224 | #6453 | C23 | 1 | 6 | yes | — |
| 225 | #6453 | C23 | 1 | 12 | yes | — |
| 226 | #6453 | C23 | 1 | 6 | yes | — |
| 227 | #6452 | C23 | 1 | 24 | yes | — |
| 228 | #6452 | C23 | 1 | 24 | yes | — |
| 229 | #6452 | C23 | 1 | 12 | yes | — |
| 230 | #6452 | C23 | 1 | 12 | yes | — |
| 231 | #6451 | C23 | 1 | 12 | yes | — |
| 232 | #6451 | C23 | 1 | 12 | yes | — |
| 233 | #6451 | C23 | 1 | 2 | yes | — |
| 234 | #6451 | C23 | 1 | 6 | yes | — |
| 235 | #6451 | C23 | 1 | 12 | yes | — |
| 236 | #6451 | C23 | 1 | 12 | yes | — |
| 237 | #6451 | C23 | 1 | 24 | yes | — |
| 238 | #6451 | C23 | 1 | 12 | yes | — |
| 239 | #6451 | C23 | 1 | 12 | yes | — |
| 240 | #6451 | C23 | 1 | 12 | yes | — |
| 241 | #6451 | C23 | 1 | 12 | yes | — |
| 242 | #6451 | C23 | 1 | 6 | yes | — |
| 243 | #6451 | C23 | 1 | 2 | yes | — |
| 244 | #6450 | C23 | 1 | 3 | yes | — |
| 245 | #6450 | C23 | 1 | 12 | yes | — |
| 246 | #6450 | C23 | 1 | 12 | yes | — |
| 247 | #6450 | C23 | 1 | 12 | yes | — |
| 248 | #6450 | C23 | 1 | 3 | yes | — |
| 249 | #6450 | C23 | 1 | 6 | yes | — |
| 250 | #6450 | C23 | 1 | 6 | yes | — |
| 251 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 252 | (C22⋊D7)⋊C4 | C23 | 1 | 6 | yes | — |
| 253 | (C22⋊D7)⋊C4 | C23 | 1 | 24 | yes | — |
| 254 | D7×C22⋊C4 | C23 | 1 | 12 | yes | — |
| 255 | D7×C22⋊C4 | C23 | 1 | 6 | yes | — |
| 256 | #6441 | C23 | 1 | 12 | yes | — |
| 257 | #6441 | C23 | 1 | 12 | yes | — |
| 258 | #6441 | C23 | 1 | 24 | yes | — |
| 259 | #6441 | C23 | 1 | 24 | yes | — |
| 260 | #6440 | C23 | 1 | 6 | yes | — |
| 261 | #6440 | C23 | 1 | 12 | yes | — |
| 262 | C4×D28 | C23 | 1 | 12 | yes | — |
| 263 | C4×D28 | C23 | 1 | 3 | yes | — |
| 264 | C4×D28 | C23 | 1 | 3 | yes | — |
| 265 | #6435 | C23 | 1 | 6 | yes | — |
| 266 | #6435 | C23 | 1 | 12 | yes | — |
| 267 | C42×D7 | C23 | 1 | 3 | yes | — |
| 268 | C42×D7 | C23 | 1 | 12 | yes | — |
| 269 | C42×D7 | C23 | 1 | 3 | yes | — |
| 270 | C42×D7 | C23 | 1 | 1 | yes | characteristic |
| 271 | C42×D7 | C23 | 1 | 3 | yes | — |
| 272 | C42×D7 | C23 | 1 | 3 | yes | — |
| 273 | C42×D7 | C23 | 1 | 3 | yes | — |
| 274 | C42×D7 | C23 | 1 | 3 | yes | — |
| 275 | C42×D7 | C23 | 1 | 3 | yes | — |
| 276 | #6433 | C23 | 1 | 6 | yes | — |
| 277 | #6433 | C23 | 1 | 12 | yes | — |
| 278 | #6432 | C23 | 1 | 6 | yes | — |
| 279 | #6432 | C23 | 1 | 12 | yes | — |
| 280 | #6432 | C23 | 1 | 3 | yes | — |
| 281 | #6432 | C23 | 1 | 6 | yes | — |
| 282 | #6432 | C23 | 1 | 6 | yes | — |
| 283 | #6432 | C23 | 1 | 1 | yes | characteristic |
| 284 | C4×Dic14 | C23 | 1 | 12 | yes | — |
| 285 | C4×Dic14 | C23 | 1 | 12 | yes | — |
| 286 | C4×Dic14 | C23 | 1 | 12 | yes | — |
| 287 | C4×Dic14 | C23 | 1 | 3 | yes | — |
| 288 | C4×Dic14 | C23 | 1 | 6 | yes | — |
| 289 | C4×Dic14 | C23 | 1 | 3 | yes | — |
| 290 | C4×Dic14 | C23 | 1 | 6 | yes | — |
| 291 | #3503 | — | 7 | 2 | no | — |
| 292 | #3503 | — | 7 | 2 | no | — |
| 293 | #3503 | — | 7 | 6 | no | — |
| 294 | #3503 | — | 7 | 6 | no | — |
| 295 | #3503 | — | 7 | 6 | no | — |
| 296 | #3503 | — | 7 | 3 | no | — |
| 297 | #3503 | — | 7 | 3 | no | — |
| 298 | #3503 | — | 7 | 2 | no | — |
| 299 | #3503 | — | 7 | 1 | no | — |
| 300 | #3503 | D7 | 1 | 1 | yes | characteristic, direct product factor |
| 301 | C2×Q82 | — | 7 | 2 | no | — |
| 302 | C2×#557 | — | 7 | 2 | no | — |
| 303 | C2×#554 | — | 7 | 6 | no | — |
| 304 | C2×D4×Q8 | — | 7 | 6 | no | — |
| 305 | C2×#544 | — | 7 | 6 | no | — |
| 306 | C2×#533 | — | 7 | 3 | no | — |
| 307 | C22×C4⋊Q8 | — | 7 | 3 | no | — |
| 308 | C2×#520 | — | 7 | 2 | no | — |
| 309 | C2×C4×#41 | — | 7 | 1 | no | — |
| 310 | C23×D7 | C24 | 1 | 3 | yes | — |
| 311 | C7×#41 | C2×Q8 | 1 | 8 | yes | complemented |
| 312 | C2×C7×Q8 | — | 4 | 12 | no | — |
| 313 | C2×C7×Q8 | C24 | 1 | 6 | yes | — |
| 314 | C2×C7×Q8 | C24 | 1 | 2 | yes | — |
| 315 | C2×C7×Q8 | C24 | 1 | 12 | yes | — |
| 316 | C2×C7×Q8 | C24 | 1 | 1 | yes | characteristic |
| 317 | C2×C7×D4 | C24 | 1 | 3 | yes | — |
| 318 | C22×C4×C7 | C24 | 1 | 3 | yes | — |
| 319 | C22×C4×C7 | C24 | 1 | 3 | yes | — |
| 320 | C22×C4×C7 | C24 | 1 | 12 | yes | — |
| 321 | C22×C4×C7 | C24 | 1 | 3 | yes | — |
| 322 | C2×C22⋊D7 | C24 | 1 | 6 | yes | — |
| 323 | C22×Dic7 | C24 | 1 | 3 | yes | — |
| 324 | C22×Dic7 | C24 | 1 | 3 | yes | — |
| 325 | C22×Dic7 | C24 | 1 | 12 | yes | — |
| 326 | C22×Dic7 | C24 | 1 | 3 | yes | — |
| 327 | #1161 | C2×Q8 | 1 | 8 | yes | complemented |
| 328 | Q8×D7 | — | 2 | 24 | no | — |
| 329 | Q8×D7 | — | 2 | 8 | no | — |
| 330 | Q8×D7 | — | 4 | 24 | no | — |
| 331 | Q8×D7 | — | 4 | 24 | no | — |
| 332 | Q8×D7 | — | 4 | 24 | no | — |
| 333 | Q8×D7 | C2×Q8 | 1 | 8 | yes | complemented |
| 334 | #1159 | C2×Q8 | 1 | 24 | yes | complemented |
| 335 | D4×D7 | C2×Q8 | 1 | 24 | yes | complemented |
| 336 | #1157 | C2×Q8 | 1 | 24 | yes | complemented |
| 337 | C2×D28 | C24 | 1 | 3 | yes | — |
| 338 | C2×C4×D7 | — | 2 | 12 | no | — |
| 339 | C2×C4×D7 | — | 2 | 12 | no | — |
| 340 | C2×C4×D7 | — | 4 | 24 | no | — |
| 341 | C2×C4×D7 | C2×Q8 | 1 | 24 | yes | complemented |
| 342 | C2×C4×D7 | C24 | 1 | 4 | yes | — |
| 343 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 344 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 345 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 346 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 347 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 348 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 349 | C2×C4×D7 | C24 | 1 | 12 | yes | — |
| 350 | C2×C4×D7 | C24 | 1 | 24 | yes | — |
| 351 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 352 | C2×C4×D7 | C24 | 1 | 1 | yes | characteristic |
| 353 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 354 | C2×C4×D7 | C24 | 1 | 3 | yes | — |
| 355 | C2×C4×D7 | C24 | 1 | 1 | yes | characteristic |
| 356 | C2×C4×D7 | C24 | 1 | 1 | yes | characteristic |
| 357 | C2×Dic14 | — | 4 | 24 | no | — |
| 358 | C2×Dic14 | — | 4 | 12 | no | — |
| 359 | C2×Dic14 | C24 | 1 | 2 | yes | — |
| 360 | C2×Dic14 | C24 | 1 | 4 | yes | — |
| 361 | C2×Dic14 | C24 | 1 | 6 | yes | — |
| 362 | C2×Dic14 | C24 | 1 | 12 | yes | — |
| 363 | C2×Dic14 | C24 | 1 | 12 | yes | — |
| 364 | C2×Dic14 | C24 | 1 | 24 | yes | — |
| 365 | C2×Dic14 | C24 | 1 | 3 | yes | — |
| 366 | C7×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 367 | C7×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 368 | C7×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 369 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 370 | C7×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 371 | C7×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 372 | C7×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 373 | C7×C4⋊C4 | C24 | 1 | 6 | yes | — |
| 374 | C7×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 375 | C7×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 376 | C7×C22⋊C4 | C24 | 1 | 12 | yes | — |
| 377 | C7×C22⋊C4 | C24 | 1 | 6 | yes | — |
| 378 | C42×C7 | C24 | 1 | 3 | yes | — |
| 379 | C42×C7 | C24 | 1 | 3 | yes | — |
| 380 | C42×C7 | C24 | 1 | 12 | yes | — |
| 381 | C42×C7 | C24 | 1 | 1 | yes | characteristic |
| 382 | C42×C7 | C24 | 1 | 3 | yes | — |
| 383 | C22⋊Dic7 | C24 | 1 | 12 | yes | — |
| 384 | C22⋊Dic7 | C24 | 1 | 6 | yes | — |
| 385 | (C2×D7)⋊C4 | C24 | 1 | 12 | yes | — |
| 386 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 387 | (C2×D7)⋊C4 | C24 | 1 | 6 | yes | — |
| 388 | (C2×D7)⋊C4 | C24 | 1 | 12 | yes | — |
| 389 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 390 | C4⋊Dic7 | C24 | 1 | 3 | yes | — |
| 391 | C4⋊Dic7 | C24 | 1 | 12 | yes | — |
| 392 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 393 | C4⋊Dic7 | C24 | 1 | 12 | yes | — |
| 394 | C4⋊Dic7 | C24 | 1 | 3 | yes | — |
| 395 | C4⋊Dic7 | C24 | 1 | 12 | yes | — |
| 396 | C4⋊Dic7 | C24 | 1 | 6 | yes | — |
| 397 | C4⋊Dic7 | C24 | 1 | 12 | yes | — |
| 398 | C4⋊Dic7 | C24 | 1 | 2 | yes | — |
| 399 | Dic7⋊C4 | C24 | 1 | 4 | yes | — |
| 400 | Dic7⋊C4 | C24 | 1 | 12 | yes | — |
| 401 | Dic7⋊C4 | C24 | 1 | 12 | yes | — |
| 402 | Dic7⋊C4 | C24 | 1 | 12 | yes | — |
| 403 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 404 | Dic7⋊C4 | C24 | 1 | 6 | yes | — |
| 405 | Dic7⋊C4 | C24 | 1 | 12 | yes | — |
| 406 | Dic7⋊C4 | C24 | 1 | 12 | yes | — |
| 407 | Dic7⋊C4 | C24 | 1 | 24 | yes | — |
| 408 | Dic7⋊C4 | C24 | 1 | 24 | yes | — |
| 409 | Dic7⋊C4 | C24 | 1 | 4 | yes | — |
| 410 | Dic7⋊C4 | C24 | 1 | 12 | yes | — |
| 411 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 412 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 413 | C4×Dic7 | C24 | 1 | 12 | yes | — |
| 414 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 415 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 416 | C4×Dic7 | C24 | 1 | 12 | yes | — |
| 417 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 418 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 419 | C4×Dic7 | C24 | 1 | 1 | yes | characteristic |
| 420 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 421 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 422 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 423 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 424 | C4×Dic7 | C24 | 1 | 3 | yes | — |
| 425 | C4×Dic7 | C24 | 1 | 12 | yes | — |
| 426 | C22×#41 | — | 7 | 1 | no | — |
| 427 | C23×Q8 | — | 7 | 6 | no | — |
| 428 | Q82 | — | 7 | 12 | no | — |
| 429 | Q82 | — | 7 | 6 | no | — |
| 430 | Q82 | — | 7 | 4 | no | — |
| 431 | Q82 | — | 7 | 2 | no | — |
| 432 | Q82 | — | 7 | 6 | no | — |
| 433 | Q82 | C2×D7 | 1 | 2 | yes | complemented |
| 434 | #557 | — | 7 | 6 | no | — |
| 435 | #557 | — | 7 | 12 | no | — |
| 436 | #557 | — | 7 | 6 | no | — |
| 437 | #557 | — | 7 | 4 | no | — |
| 438 | #557 | — | 7 | 2 | no | — |
| 439 | #557 | C2×D7 | 1 | 2 | yes | complemented |
| 440 | #554 | — | 7 | 6 | no | — |
| 441 | #554 | — | 7 | 12 | no | — |
| 442 | #554 | — | 7 | 12 | no | — |
| 443 | #554 | — | 7 | 24 | no | — |
| 444 | #554 | — | 7 | 6 | no | — |
| 445 | #554 | — | 7 | 12 | no | — |
| 446 | #554 | — | 7 | 6 | no | — |
| 447 | #554 | — | 7 | 12 | no | — |
| 448 | #554 | C2×D7 | 1 | 6 | yes | complemented |
| 449 | D4×Q8 | — | 7 | 12 | no | — |
| 450 | D4×Q8 | — | 7 | 12 | no | — |
| 451 | D4×Q8 | — | 7 | 6 | no | — |
| 452 | D4×Q8 | — | 7 | 12 | no | — |
| 453 | D4×Q8 | — | 7 | 24 | no | — |
| 454 | D4×Q8 | — | 7 | 6 | no | — |
| 455 | D4×Q8 | — | 7 | 12 | no | — |
| 456 | D4×Q8 | — | 7 | 6 | no | — |
| 457 | D4×Q8 | C2×D7 | 1 | 6 | yes | complemented |
| 458 | #544 | — | 7 | 12 | no | — |
| 459 | #544 | — | 7 | 12 | no | — |
| 460 | #544 | — | 7 | 12 | no | — |
| 461 | #544 | — | 7 | 12 | no | — |
| 462 | #544 | — | 7 | 24 | no | — |
| 463 | #544 | — | 7 | 6 | no | — |
| 464 | #544 | — | 7 | 6 | no | — |
| 465 | #544 | — | 7 | 6 | no | — |
| 466 | #544 | C2×D7 | 1 | 6 | yes | complemented |
| 467 | #533 | — | 7 | 3 | no | — |
| 468 | #533 | — | 7 | 3 | no | — |
| 469 | #533 | — | 7 | 6 | no | — |
| 470 | #533 | — | 7 | 6 | no | — |
| 471 | #533 | — | 7 | 6 | no | — |
| 472 | #533 | — | 7 | 6 | no | — |
| 473 | #533 | — | 7 | 6 | no | — |
| 474 | #533 | — | 7 | 6 | no | — |
| 475 | #533 | — | 7 | 3 | no | — |
| 476 | #533 | C2×D7 | 1 | 3 | yes | complemented |
| 477 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 478 | C2×C4⋊Q8 | — | 7 | 3 | no | — |
| 479 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 480 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 481 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 482 | C2×C4⋊Q8 | — | 7 | 1 | no | — |
| 483 | C2×C4⋊Q8 | — | 7 | 12 | no | — |
| 484 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 485 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 486 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 487 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 488 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 489 | C2×C4⋊Q8 | — | 7 | 6 | no | — |
| 490 | C2×C4⋊Q8 | — | 7 | 3 | no | — |
| 491 | C2×C4⋊Q8 | C2×D7 | 1 | 3 | yes | complemented |
| 492 | C2×#125 | — | 7 | 6 | no | — |
| 493 | C2×#125 | — | 7 | 12 | no | — |
| 494 | C2×C22⋊Q8 | — | 7 | 6 | no | — |
| 495 | C2×C22⋊Q8 | — | 7 | 6 | no | — |
| 496 | C2×C22⋊Q8 | — | 7 | 24 | no | — |
| 497 | #520 | — | 7 | 2 | no | — |
| 498 | #520 | — | 7 | 4 | no | — |
| 499 | #520 | — | 7 | 12 | no | — |
| 500 | #520 | — | 7 | 6 | no | — |
| 501 | #520 | — | 7 | 6 | no | — |
| 502 | #520 | C2×D7 | 1 | 2 | yes | — |
| 503 | C4×#41 | — | 7 | 1 | no | — |
| 504 | C4×#41 | — | 7 | 1 | no | — |
| 505 | C4×#41 | — | 7 | 1 | no | — |
| 506 | C4×#41 | — | 7 | 3 | no | — |
| 507 | C4×#41 | — | 7 | 3 | no | — |
| 508 | C4×#41 | — | 7 | 3 | no | — |
| 509 | C4×#41 | — | 7 | 3 | no | — |
| 510 | C4×#41 | C2×D7 | 1 | 1 | yes | characteristic |
| 511 | C2×C4×Q8 | — | 7 | 1 | no | — |
| 512 | C2×C4×Q8 | — | 7 | 1 | no | — |
| 513 | C2×C4×Q8 | — | 7 | 4 | no | — |
| 514 | C2×C4×Q8 | — | 7 | 6 | no | — |
| 515 | C2×C4×Q8 | — | 7 | 6 | no | — |
| 516 | C2×C4×D4 | — | 7 | 3 | no | — |
| 517 | C2×C4×D4 | — | 7 | 3 | no | — |
| 518 | C2×C4×D4 | — | 7 | 12 | no | — |
| 519 | C2×#117 | — | 7 | 3 | no | — |
| 520 | C2×#117 | — | 7 | 6 | no | — |
| 521 | C22×C4⋊C4 | — | 7 | 6 | no | — |
| 522 | C22×C4⋊C4 | — | 7 | 6 | no | — |
| 523 | C22×C42 | — | 7 | 3 | no | — |
| 524 | C23×C7 | C25 | 1 | 3 | yes | — |
| 525 | C22×D7 | — | 2 | 6 | no | — |
| 526 | C22×D7 | — | 2 | 6 | no | — |
| 527 | C22×D7 | C22×Q8 | 1 | 12 | yes | — |
| 528 | C22×D7 | C25 | 1 | 3 | yes | — |
| 529 | C22×D7 | C25 | 1 | 1 | yes | characteristic |
| 530 | C7×Q8 | — | 2 | 12 | no | — |
| 531 | C7×Q8 | — | 2 | 4 | no | — |
| 532 | C7×Q8 | — | 4 | 12 | no | — |
| 533 | C7×Q8 | C22×Q8 | 1 | 4 | yes | complemented |
| 534 | C7×D4 | C22×Q8 | 1 | 12 | yes | complemented |
| 535 | C2×C4×C7 | — | 2 | 6 | no | — |
| 536 | C2×C4×C7 | — | 2 | 6 | no | — |
| 537 | C2×C4×C7 | — | 4 | 12 | no | — |
| 538 | C2×C4×C7 | C22×Q8 | 1 | 12 | yes | complemented |
| 539 | C2×C4×C7 | C25 | 1 | 4 | yes | — |
| 540 | C2×C4×C7 | C25 | 1 | 3 | yes | — |
| 541 | C2×C4×C7 | C25 | 1 | 3 | yes | — |
| 542 | C2×C4×C7 | C25 | 1 | 12 | yes | — |
| 543 | C2×C4×C7 | C25 | 1 | 3 | yes | — |
| 544 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 545 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 546 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 547 | C22⋊D7 | C22×Q8 | 1 | 24 | yes | complemented |
| 548 | C2×Dic7 | — | 2 | 6 | no | — |
| 549 | C2×Dic7 | — | 2 | 6 | no | — |
| 550 | C2×Dic7 | — | 4 | 12 | no | — |
| 551 | C2×Dic7 | C22×Q8 | 1 | 12 | yes | complemented |
| 552 | C2×Dic7 | C25 | 1 | 4 | yes | — |
| 553 | C2×Dic7 | C25 | 1 | 3 | yes | — |
| 554 | C2×Dic7 | C25 | 1 | 3 | yes | — |
| 555 | C2×Dic7 | C25 | 1 | 12 | yes | — |
| 556 | C2×Dic7 | C25 | 1 | 3 | yes | — |
| 557 | C2×Dic7 | C25 | 1 | 1 | yes | characteristic |
| 558 | C2×Dic7 | C25 | 1 | 1 | yes | characteristic |
| 559 | C2×Dic7 | C25 | 1 | 1 | yes | characteristic |
| 560 | D28 | C22×Q8 | 1 | 12 | yes | complemented |
| 561 | C4×D7 | — | 2 | 6 | no | — |
| 562 | C4×D7 | — | 2 | 24 | no | — |
| 563 | C4×D7 | — | 2 | 6 | no | — |
| 564 | C4×D7 | — | 2 | 8 | no | — |
| 565 | C4×D7 | — | 2 | 6 | no | — |
| 566 | C4×D7 | — | 2 | 6 | no | — |
| 567 | C4×D7 | — | 2 | 6 | no | — |
| 568 | C4×D7 | — | 2 | 6 | no | — |
| 569 | C4×D7 | — | 4 | 24 | no | — |
| 570 | C4×D7 | C22×Q8 | 1 | 4 | yes | — |
| 571 | C4×D7 | C22×Q8 | 1 | 12 | yes | — |
| 572 | C4×D7 | C22×Q8 | 1 | 12 | yes | complemented |
| 573 | C4×D7 | C22×Q8 | 1 | 12 | yes | complemented |
| 574 | C4×D7 | H(5,𝔽2) | 1 | 4 | yes | — |
| 575 | C4×D7 | 2−1+4 | 1 | 4 | yes | — |
| 576 | Dic14 | — | 2 | 12 | no | — |
| 577 | Dic14 | — | 2 | 4 | no | — |
| 578 | Dic14 | — | 2 | 24 | no | — |
| 579 | Dic14 | — | 2 | 8 | no | — |
| 580 | Dic14 | — | 4 | 12 | no | — |
| 581 | Dic14 | — | 4 | 24 | no | — |
| 582 | Dic14 | C22×Q8 | 1 | 12 | yes | complemented |
| 583 | C2×#41 | — | 7 | 16 | no | — |
| 584 | C2×#41 | — | 7 | 1 | no | — |
| 585 | C2×#41 | — | 7 | 3 | no | — |
| 586 | C2×#41 | — | 7 | 3 | no | — |
| 587 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 588 | C22×Q8 | — | 7 | 1 | no | — |
| 589 | C22×Q8 | — | 7 | 2 | no | — |
| 590 | C22×Q8 | — | 7 | 6 | no | — |
| 591 | C22×Q8 | — | 7 | 12 | no | — |
| 592 | C22×Q8 | — | 7 | 12 | no | — |
| 593 | C22×Q8 | — | 7 | 12 | no | — |
| 594 | C22×Q8 | — | 7 | 12 | no | — |
| 595 | C22×Q8 | — | 7 | 6 | no | — |
| 596 | C22×Q8 | — | 28 | 24 | no | — |
| 597 | C22×Q8 | C22×D7 | 1 | 6 | yes | — |
| 598 | C22×D4 | — | 7 | 3 | no | — |
| 599 | C23×C4 | — | 7 | 3 | no | — |
| 600 | C23×C4 | — | 7 | 3 | no | — |
| 601 | C23×C4 | — | 7 | 3 | no | — |
| 602 | C23×C4 | — | 7 | 12 | no | — |
| 603 | C4⋊Q8 | — | 7 | 6 | no | — |
| 604 | C4⋊Q8 | — | 7 | 12 | no | — |
| 605 | C4⋊Q8 | — | 7 | 12 | no | — |
| 606 | C4⋊Q8 | — | 7 | 12 | no | — |
| 607 | C4⋊Q8 | — | 7 | 2 | no | — |
| 608 | C4⋊Q8 | — | 7 | 24 | no | — |
| 609 | C4⋊Q8 | — | 7 | 6 | no | — |
| 610 | C4⋊Q8 | — | 7 | 6 | no | — |
| 611 | C4⋊Q8 | — | 7 | 12 | no | — |
| 612 | C4⋊Q8 | — | 7 | 12 | no | — |
| 613 | C4⋊Q8 | — | 7 | 12 | no | — |
| 614 | C4⋊Q8 | — | 7 | 12 | no | — |
| 615 | C4⋊Q8 | — | 7 | 12 | no | — |
| 616 | C4⋊Q8 | — | 7 | 12 | no | — |
| 617 | C4⋊Q8 | — | 7 | 2 | no | — |
| 618 | C4⋊Q8 | — | 7 | 2 | no | — |
| 619 | C4⋊Q8 | — | 7 | 24 | no | — |
| 620 | C4⋊Q8 | — | 7 | 12 | no | — |
| 621 | C4⋊Q8 | — | 7 | 12 | no | — |
| 622 | C4⋊Q8 | — | 7 | 3 | no | — |
| 623 | C4⋊Q8 | — | 7 | 6 | no | — |
| 624 | C4⋊Q8 | — | 7 | 6 | no | — |
| 625 | C4⋊Q8 | — | 7 | 6 | no | — |
| 626 | C4⋊Q8 | — | 7 | 1 | no | — |
| 627 | C4⋊Q8 | — | 7 | 12 | no | — |
| 628 | C4⋊Q8 | C22×D7 | 1 | 3 | yes | — |
| 629 | C4⋊Q8 | C22×D7 | 1 | 6 | yes | — |
| 630 | C4⋊Q8 | C22×D7 | 1 | 6 | yes | — |
| 631 | C4⋊Q8 | C22×D7 | 1 | 6 | yes | — |
| 632 | C4⋊Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 633 | C4⋊Q8 | C22×D7 | 1 | 12 | yes | — |
| 634 | #125 | — | 7 | 12 | no | — |
| 635 | #125 | — | 7 | 12 | no | — |
| 636 | #125 | — | 7 | 6 | no | — |
| 637 | #125 | — | 7 | 6 | no | — |
| 638 | #125 | — | 7 | 24 | no | — |
| 639 | #125 | — | 7 | 24 | no | — |
| 640 | #125 | — | 7 | 12 | no | — |
| 641 | #125 | — | 7 | 12 | no | — |
| 642 | #125 | — | 7 | 6 | no | — |
| 643 | #125 | — | 7 | 12 | no | — |
| 644 | #125 | C22×D7 | 1 | 6 | yes | — |
| 645 | #125 | C22×D7 | 1 | 12 | yes | — |
| 646 | C22⋊Q8 | — | 7 | 6 | no | — |
| 647 | C22⋊Q8 | — | 7 | 6 | no | — |
| 648 | C22⋊Q8 | — | 7 | 24 | no | — |
| 649 | C22⋊Q8 | — | 7 | 6 | no | — |
| 650 | C22⋊Q8 | — | 7 | 6 | no | — |
| 651 | C22⋊Q8 | — | 7 | 24 | no | — |
| 652 | C22⋊Q8 | — | 7 | 12 | no | — |
| 653 | C22⋊Q8 | — | 7 | 6 | no | — |
| 654 | C22⋊Q8 | — | 7 | 12 | no | — |
| 655 | C22⋊Q8 | — | 7 | 6 | no | — |
| 656 | C22⋊Q8 | — | 7 | 24 | no | — |
| 657 | C22⋊Q8 | — | 7 | 24 | no | — |
| 658 | C22⋊Q8 | — | 7 | 24 | no | — |
| 659 | C22⋊Q8 | — | 7 | 12 | no | — |
| 660 | C22⋊Q8 | — | 7 | 12 | no | — |
| 661 | C22⋊Q8 | — | 7 | 24 | no | — |
| 662 | C22⋊Q8 | — | 7 | 24 | no | — |
| 663 | C22⋊Q8 | C22×D7 | 1 | 6 | yes | — |
| 664 | C22⋊Q8 | C22×D7 | 1 | 6 | yes | — |
| 665 | C22⋊Q8 | C22×D7 | 1 | 24 | yes | — |
| 666 | C4×Q8 | — | 7 | 1 | no | — |
| 667 | C4×Q8 | — | 7 | 1 | no | — |
| 668 | C4×Q8 | — | 7 | 4 | no | — |
| 669 | C4×Q8 | — | 7 | 6 | no | — |
| 670 | C4×Q8 | — | 7 | 6 | no | — |
| 671 | C4×Q8 | — | 7 | 3 | no | — |
| 672 | C4×Q8 | — | 7 | 3 | no | — |
| 673 | C4×Q8 | — | 7 | 12 | no | — |
| 674 | C4×Q8 | — | 7 | 12 | no | — |
| 675 | C4×Q8 | — | 7 | 6 | no | — |
| 676 | C4×Q8 | — | 7 | 12 | no | — |
| 677 | C4×Q8 | — | 7 | 6 | no | — |
| 678 | C4×Q8 | — | 7 | 3 | no | — |
| 679 | C4×Q8 | — | 7 | 3 | no | — |
| 680 | C4×Q8 | — | 7 | 12 | no | — |
| 681 | C4×Q8 | — | 7 | 12 | no | — |
| 682 | C4×Q8 | — | 7 | 6 | no | — |
| 683 | C4×Q8 | — | 7 | 12 | no | — |
| 684 | C4×Q8 | — | 7 | 6 | no | — |
| 685 | C4×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 686 | C4×Q8 | C22×D7 | 1 | 1 | yes | characteristic |
| 687 | C4×Q8 | C22×D7 | 1 | 4 | yes | — |
| 688 | C4×Q8 | C22×D7 | 1 | 6 | yes | — |
| 689 | C4×Q8 | C22×D7 | 1 | 6 | yes | — |
| 690 | C4×D4 | — | 7 | 3 | no | — |
| 691 | C4×D4 | — | 7 | 3 | no | — |
| 692 | C4×D4 | — | 7 | 12 | no | — |
| 693 | C4×D4 | — | 7 | 6 | no | — |
| 694 | C4×D4 | — | 7 | 6 | no | — |
| 695 | C4×D4 | — | 7 | 24 | no | — |
| 696 | C4×D4 | — | 7 | 3 | no | — |
| 697 | C4×D4 | — | 7 | 3 | no | — |
| 698 | C4×D4 | — | 7 | 12 | no | — |
| 699 | C4×D4 | — | 7 | 6 | no | — |
| 700 | C4×D4 | — | 7 | 6 | no | — |
| 701 | C4×D4 | — | 7 | 24 | no | — |
| 702 | C4×D4 | — | 7 | 3 | no | — |
| 703 | C4×D4 | — | 7 | 3 | no | — |
| 704 | C4×D4 | — | 7 | 12 | no | — |
| 705 | C4×D4 | C22×D7 | 1 | 3 | yes | — |
| 706 | C4×D4 | C22×D7 | 1 | 3 | yes | — |
| 707 | C4×D4 | C22×D7 | 1 | 12 | yes | — |
| 708 | #117 | — | 7 | 3 | no | — |
| 709 | #117 | — | 7 | 6 | no | — |
| 710 | #117 | — | 7 | 3 | no | — |
| 711 | #117 | — | 7 | 3 | no | — |
| 712 | #117 | — | 7 | 6 | no | — |
| 713 | #117 | — | 7 | 6 | no | — |
| 714 | #117 | — | 7 | 6 | no | — |
| 715 | #117 | — | 7 | 12 | no | — |
| 716 | #117 | — | 7 | 6 | no | — |
| 717 | #117 | — | 7 | 12 | no | — |
| 718 | #117 | C22×D7 | 1 | 3 | yes | — |
| 719 | #117 | C22×D7 | 1 | 6 | yes | — |
| 720 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 721 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 722 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 723 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 724 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 725 | C2×C4⋊C4 | — | 7 | 6 | no | — |
| 726 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 727 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 728 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 729 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 730 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 731 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 732 | C2×C4⋊C4 | — | 7 | 2 | no | — |
| 733 | C2×C4⋊C4 | — | 7 | 3 | no | — |
| 734 | C2×C4⋊C4 | — | 7 | 3 | no | — |
| 735 | C2×C4⋊C4 | — | 7 | 2 | no | — |
| 736 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 737 | C2×C4⋊C4 | — | 7 | 12 | no | — |
| 738 | C2×C4⋊C4 | C22×D7 | 1 | 6 | yes | — |
| 739 | C2×C4⋊C4 | C22×D7 | 1 | 6 | yes | — |
| 740 | C2×C22⋊C4 | — | 7 | 12 | no | — |
| 741 | C2×C22⋊C4 | — | 7 | 6 | no | — |
| 742 | C2×C42 | — | 7 | 3 | no | — |
| 743 | C2×C42 | — | 7 | 3 | no | — |
| 744 | C2×C42 | — | 7 | 3 | no | — |
| 745 | C2×C42 | — | 7 | 3 | no | — |
| 746 | C2×C42 | — | 7 | 12 | no | — |
| 747 | C2×C42 | — | 7 | 3 | no | — |
| 748 | C2×C42 | — | 7 | 3 | no | — |
| 749 | C2×C42 | — | 7 | 3 | no | — |
| 750 | C2×C42 | — | 7 | 3 | no | — |
| 751 | C2×C42 | — | 7 | 3 | no | — |
| 752 | C2×C42 | — | 7 | 3 | no | — |
| 753 | C2×C42 | — | 7 | 1 | no | — |
| 754 | C2×C42 | C22×D7 | 1 | 3 | yes | — |
| 755 | C22×C7 | — | 2 | 3 | no | — |
| 756 | C22×C7 | — | 2 | 3 | no | — |
| 757 | C22×C7 | C23×Q8 | 1 | 6 | yes | — |
| 758 | C22×C7 | C26 | 1 | 1 | yes | characteristic |
| 759 | C2×D7 | — | 2 | 3 | no | — |
| 760 | C2×D7 | — | 2 | 3 | no | — |
| 761 | C2×D7 | — | 2 | 24 | no | — |
| 762 | C2×D7 | C23×Q8 | 1 | 6 | yes | — |
| 763 | C2×D7 | C23×Q8 | 1 | 2 | yes | — |
| 764 | C2×D7 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 765 | C2×D7 | C2×2−1+4 | 1 | 2 | yes | — |
| 766 | C4×C7 | — | 2 | 12 | no | — |
| 767 | C4×C7 | — | 2 | 3 | no | — |
| 768 | C4×C7 | — | 2 | 4 | no | — |
| 769 | C4×C7 | — | 2 | 3 | no | — |
| 770 | C4×C7 | C23×Q8 | 1 | 6 | yes | — |
| 771 | C4×C7 | C23×Q8 | 1 | 2 | yes | — |
| 772 | C4×C7 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 773 | C4×C7 | C2×2−1+4 | 1 | 2 | yes | — |
| 774 | Dic7 | — | 2 | 12 | no | — |
| 775 | Dic7 | — | 2 | 3 | no | — |
| 776 | Dic7 | — | 2 | 4 | no | — |
| 777 | Dic7 | — | 2 | 3 | no | — |
| 778 | Dic7 | C23×Q8 | 1 | 6 | yes | — |
| 779 | Dic7 | C23×Q8 | 1 | 2 | yes | — |
| 780 | Dic7 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 781 | Dic7 | C2×2−1+4 | 1 | 2 | yes | — |
| 782 | C24 | — | 7 | 3 | no | — |
| 783 | #41 | — | 7 | 8 | no | — |
| 784 | #41 | — | 7 | 24 | no | — |
| 785 | #41 | — | 7 | 24 | no | — |
| 786 | #41 | Q8×D7 | 1 | 8 | yes | complemented |
| 787 | C2×Q8 | — | 4 | 12 | no | — |
| 788 | C2×Q8 | — | 7 | 8 | no | — |
| 789 | C2×Q8 | — | 7 | 3 | no | — |
| 790 | C2×Q8 | — | 7 | 4 | no | — |
| 791 | C2×Q8 | — | 7 | 2 | no | — |
| 792 | C2×Q8 | — | 7 | 12 | no | — |
| 793 | C2×Q8 | — | 7 | 6 | no | — |
| 794 | C2×Q8 | — | 7 | 24 | no | — |
| 795 | C2×Q8 | — | 7 | 12 | no | — |
| 796 | C2×Q8 | — | 14 | 8 | no | — |
| 797 | C2×Q8 | — | 14 | 24 | no | — |
| 798 | C2×Q8 | — | 28 | 12 | no | — |
| 799 | C2×Q8 | — | 28 | 24 | no | — |
| 800 | C2×Q8 | — | 28 | 24 | no | — |
| 801 | C2×Q8 | — | 28 | 24 | no | — |
| 802 | C2×Q8 | — | 28 | 24 | no | — |
| 803 | C2×Q8 | C23×D7 | 1 | 2 | yes | — |
| 804 | C2×Q8 | C23×D7 | 1 | 6 | yes | — |
| 805 | C2×Q8 | C23×D7 | 1 | 12 | yes | — |
| 806 | C2×Q8 | C23×D7 | 1 | 1 | yes | characteristic |
| 807 | C2×D4 | — | 7 | 6 | no | — |
| 808 | C2×D4 | — | 7 | 24 | no | — |
| 809 | C2×D4 | — | 7 | 3 | no | — |
| 810 | C2×D4 | C23×D7 | 1 | 3 | yes | — |
| 811 | C22×C4 | — | 7 | 3 | no | — |
| 812 | C22×C4 | — | 7 | 24 | no | — |
| 813 | C22×C4 | — | 7 | 3 | no | — |
| 814 | C22×C4 | — | 7 | 1 | no | — |
| 815 | C22×C4 | — | 7 | 1 | no | — |
| 816 | C22×C4 | — | 7 | 1 | no | — |
| 817 | C22×C4 | — | 7 | 3 | no | — |
| 818 | C22×C4 | — | 7 | 3 | no | — |
| 819 | C22×C4 | — | 7 | 3 | no | — |
| 820 | C22×C4 | — | 7 | 3 | no | — |
| 821 | C22×C4 | — | 7 | 12 | no | — |
| 822 | C22×C4 | — | 7 | 4 | no | — |
| 823 | C22×C4 | — | 7 | 3 | no | — |
| 824 | C22×C4 | — | 7 | 3 | no | — |
| 825 | C22×C4 | — | 7 | 3 | no | — |
| 826 | C22×C4 | — | 7 | 3 | no | — |
| 827 | C22×C4 | — | 7 | 3 | no | — |
| 828 | C22×C4 | — | 7 | 3 | no | — |
| 829 | C22×C4 | — | 7 | 12 | no | — |
| 830 | C22×C4 | — | 7 | 24 | no | — |
| 831 | C22×C4 | — | 14 | 12 | no | — |
| 832 | C22×C4 | — | 14 | 12 | no | — |
| 833 | C22×C4 | — | 28 | 24 | no | — |
| 834 | C22×C4 | C23×D7 | 1 | 3 | yes | — |
| 835 | C22×C4 | C23×D7 | 1 | 3 | yes | — |
| 836 | C22×C4 | C23×D7 | 1 | 12 | yes | — |
| 837 | C22×C4 | C23×D7 | 1 | 3 | yes | — |
| 838 | C4⋊C4 | — | 7 | 12 | no | — |
| 839 | C4⋊C4 | — | 7 | 12 | no | — |
| 840 | C4⋊C4 | — | 7 | 24 | no | — |
| 841 | C4⋊C4 | — | 7 | 24 | no | — |
| 842 | C4⋊C4 | — | 7 | 4 | no | — |
| 843 | C4⋊C4 | — | 7 | 6 | no | — |
| 844 | C4⋊C4 | — | 7 | 6 | no | — |
| 845 | C4⋊C4 | — | 7 | 4 | no | — |
| 846 | C4⋊C4 | — | 7 | 12 | no | — |
| 847 | C4⋊C4 | — | 7 | 12 | no | — |
| 848 | C4⋊C4 | — | 7 | 12 | no | — |
| 849 | C4⋊C4 | — | 7 | 12 | no | — |
| 850 | C4⋊C4 | — | 7 | 6 | no | — |
| 851 | C4⋊C4 | — | 7 | 6 | no | — |
| 852 | C4⋊C4 | — | 7 | 12 | no | — |
| 853 | C4⋊C4 | — | 7 | 12 | no | — |
| 854 | C4⋊C4 | — | 7 | 2 | no | — |
| 855 | C4⋊C4 | — | 7 | 3 | no | — |
| 856 | C4⋊C4 | — | 7 | 3 | no | — |
| 857 | C4⋊C4 | — | 7 | 2 | no | — |
| 858 | C4⋊C4 | — | 7 | 12 | no | — |
| 859 | C4⋊C4 | — | 7 | 12 | no | — |
| 860 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 861 | C4⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 862 | C4⋊C4 | C23×D7 | 1 | 12 | yes | — |
| 863 | C4⋊C4 | C23×D7 | 1 | 12 | yes | — |
| 864 | C4⋊C4 | C23×D7 | 1 | 2 | yes | — |
| 865 | C4⋊C4 | C23×D7 | 1 | 3 | yes | — |
| 866 | C4⋊C4 | C23×D7 | 1 | 3 | yes | — |
| 867 | C4⋊C4 | C23×D7 | 1 | 2 | yes | — |
| 868 | C4⋊C4 | C23×D7 | 1 | 12 | yes | — |
| 869 | C4⋊C4 | C23×D7 | 1 | 12 | yes | — |
| 870 | C22⋊C4 | — | 7 | 12 | no | — |
| 871 | C22⋊C4 | — | 7 | 6 | no | — |
| 872 | C22⋊C4 | — | 7 | 12 | no | — |
| 873 | C22⋊C4 | — | 7 | 6 | no | — |
| 874 | C22⋊C4 | — | 7 | 6 | no | — |
| 875 | C22⋊C4 | — | 7 | 12 | no | — |
| 876 | C22⋊C4 | C23×D7 | 1 | 12 | yes | — |
| 877 | C22⋊C4 | C23×D7 | 1 | 6 | yes | — |
| 878 | C42 | — | 7 | 1 | no | — |
| 879 | C42 | — | 7 | 1 | no | — |
| 880 | C42 | — | 7 | 1 | no | — |
| 881 | C42 | — | 7 | 3 | no | — |
| 882 | C42 | — | 7 | 3 | no | — |
| 883 | C42 | — | 7 | 3 | no | — |
| 884 | C42 | — | 7 | 3 | no | — |
| 885 | C42 | — | 7 | 3 | no | — |
| 886 | C42 | — | 7 | 3 | no | — |
| 887 | C42 | — | 7 | 3 | no | — |
| 888 | C42 | — | 7 | 3 | no | — |
| 889 | C42 | — | 7 | 3 | no | — |
| 890 | C42 | — | 7 | 12 | no | — |
| 891 | C42 | — | 7 | 12 | no | — |
| 892 | C42 | — | 7 | 12 | no | — |
| 893 | C42 | C23×D7 | 1 | 1 | yes | characteristic |
| 894 | C42 | C23×D7 | 1 | 3 | yes | — |
| 895 | C42 | C23×D7 | 1 | 3 | yes | — |
| 896 | C42 | C23×D7 | 1 | 3 | yes | — |
| 897 | C42 | C23×D7 | 1 | 12 | yes | — |
| 898 | C2×C7 | — | 2 | 6 | no | — |
| 899 | C2×C7 | C24×Q8 | 1 | 1 | yes | characteristic |
| 900 | C2×C7 | C22×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 901 | C2×C7 | C22×2−1+4 | 1 | 1 | yes | characteristic |
| 902 | D7 | — | 2 | 6 | no | — |
| 903 | D7 | #3503 | 1 | 4 | yes | direct product factor |
| 904 | C23 | — | 7 | 1 | no | — |
| 905 | C23 | — | 7 | 3 | no | — |
| 906 | C23 | — | 7 | 12 | no | — |
| 907 | C23 | — | 14 | 6 | no | — |
| 908 | C23 | — | 14 | 6 | no | — |
| 909 | C23 | C24×D7 | 1 | 3 | yes | — |
| 910 | Q8 | — | 2 | 12 | no | — |
| 911 | Q8 | — | 2 | 4 | no | — |
| 912 | Q8 | — | 4 | 12 | no | — |
| 913 | Q8 | — | 7 | 12 | no | — |
| 914 | Q8 | — | 14 | 8 | no | — |
| 915 | Q8 | — | 14 | 24 | no | — |
| 916 | Q8 | — | 14 | 12 | no | — |
| 917 | Q8 | — | 14 | 4 | no | — |
| 918 | Q8 | — | 28 | 12 | no | — |
| 919 | Q8 | — | 28 | 24 | no | — |
| 920 | Q8 | C2×Q8×D7 | 1 | 4 | yes | complemented |
| 921 | D4 | — | 7 | 24 | no | — |
| 922 | D4 | — | 7 | 12 | no | — |
| 923 | D4 | C2×Q8×D7 | 1 | 12 | yes | complemented |
| 924 | C2×C4 | — | 2 | 6 | no | — |
| 925 | C2×C4 | — | 2 | 6 | no | — |
| 926 | C2×C4 | — | 4 | 12 | no | — |
| 927 | C2×C4 | — | 7 | 3 | no | — |
| 928 | C2×C4 | — | 7 | 1 | no | — |
| 929 | C2×C4 | — | 7 | 1 | no | — |
| 930 | C2×C4 | — | 7 | 1 | no | — |
| 931 | C2×C4 | — | 7 | 12 | no | — |
| 932 | C2×C4 | — | 7 | 4 | no | — |
| 933 | C2×C4 | — | 7 | 12 | no | — |
| 934 | C2×C4 | — | 7 | 12 | no | — |
| 935 | C2×C4 | — | 7 | 12 | no | — |
| 936 | C2×C4 | — | 7 | 4 | no | — |
| 937 | C2×C4 | — | 7 | 4 | no | — |
| 938 | C2×C4 | — | 7 | 4 | no | — |
| 939 | C2×C4 | — | 7 | 3 | no | — |
| 940 | C2×C4 | — | 7 | 3 | no | — |
| 941 | C2×C4 | — | 7 | 12 | no | — |
| 942 | C2×C4 | — | 14 | 6 | no | — |
| 943 | C2×C4 | — | 14 | 6 | no | — |
| 944 | C2×C4 | — | 14 | 6 | no | — |
| 945 | C2×C4 | — | 14 | 6 | no | — |
| 946 | C2×C4 | — | 14 | 24 | no | — |
| 947 | C2×C4 | — | 14 | 8 | no | — |
| 948 | C2×C4 | — | 14 | 6 | no | — |
| 949 | C2×C4 | — | 14 | 6 | no | — |
| 950 | C2×C4 | — | 14 | 6 | no | — |
| 951 | C2×C4 | — | 14 | 6 | no | — |
| 952 | C2×C4 | — | 28 | 24 | no | — |
| 953 | C2×C4 | — | 28 | 12 | no | — |
| 954 | C2×C4 | C2×Q8×D7 | 1 | 12 | yes | complemented |
| 955 | C2×C4 | C24×D7 | 1 | 4 | yes | — |
| 956 | C2×C4 | C24×D7 | 1 | 3 | yes | — |
| 957 | C2×C4 | C24×D7 | 1 | 3 | yes | — |
| 958 | C2×C4 | C24×D7 | 1 | 12 | yes | — |
| 959 | C2×C4 | C24×D7 | 1 | 3 | yes | — |
| 960 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 961 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 962 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 963 | C7 | C2×#3503 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 964 | C22 | — | 2 | 3 | no | — |
| 965 | C22 | — | 2 | 3 | no | — |
| 966 | C22 | — | 7 | 2 | no | — |
| 967 | C22 | — | 7 | 2 | no | — |
| 968 | C22 | — | 7 | 2 | no | — |
| 969 | C22 | — | 7 | 6 | no | — |
| 970 | C22 | — | 14 | 24 | no | — |
| 971 | C22 | — | 14 | 3 | no | — |
| 972 | C22 | — | 14 | 3 | no | — |
| 973 | C22 | C22×Q8×D7 | 1 | 6 | yes | — |
| 974 | C22 | C25×D7 | 1 | 1 | yes | characteristic |
| 975 | C4 | — | 2 | 3 | no | — |
| 976 | C4 | — | 2 | 12 | no | — |
| 977 | C4 | — | 2 | 3 | no | — |
| 978 | C4 | — | 2 | 4 | no | — |
| 979 | C4 | — | 7 | 2 | no | — |
| 980 | C4 | — | 7 | 6 | no | — |
| 981 | C4 | — | 7 | 2 | no | — |
| 982 | C4 | — | 7 | 2 | no | — |
| 983 | C4 | — | 14 | 3 | no | — |
| 984 | C4 | — | 14 | 12 | no | — |
| 985 | C4 | — | 14 | 3 | no | — |
| 986 | C4 | — | 14 | 4 | no | — |
| 987 | C4 | C22×Q8×D7 | 1 | 2 | yes | — |
| 988 | C4 | C22×Q8×D7 | 1 | 6 | yes | — |
| 989 | C4 | D7×H(5,𝔽2) | 1 | 2 | yes | — |
| 990 | C4 | D7×2−1+4 | 1 | 2 | yes | — |
| 991 | C2 | — | 2 | 6 | no | — |
| 992 | C2 | — | 7 | 4 | no | — |
| 993 | C2 | — | 14 | 6 | no | — |
| 994 | C2 | C23×Q8×D7 | 1 | 1 | yes | characteristic |
| 995 | C2 | C2×D7×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 996 | C2 | C2×D7×2−1+4 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta