Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
10698 conjugacy classes of subgroups.
The subgroup lattice has 658 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11744564 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C7×#3584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11744367 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | D7×#578 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #11744276 | C2 | 1 | 16 | yes | maximal, complemented |
| 6 | #11744271 | C2 | 1 | 8 | yes | maximal, complemented |
| 7 | #11744269 | C2 | 1 | 12 | yes | maximal, complemented |
| 8 | #11744255 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | C2×#90462 | C2 | 1 | 6 | yes | maximal, complemented |
| 10 | C2×#90444 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #11744228 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C7×#585 | C22 | 1 | 2 | yes | complemented |
| 13 | D7×2−1+4 | — | 2 | 4 | no | — |
| 14 | D7×2−1+4 | C22 | 1 | 16 | yes | complemented |
| 15 | #90618 | — | 2 | 12 | no | — |
| 16 | #90618 | C22 | 1 | 16 | yes | complemented |
| 17 | #90616 | — | 2 | 8 | no | — |
| 18 | #90616 | C22 | 1 | 1 | yes | characteristic |
| 19 | #90616 | C22 | 1 | 12 | yes | complemented |
| 20 | C2×#6554 | — | 2 | 8 | no | — |
| 21 | C2×#6554 | C22 | 1 | 12 | yes | complemented |
| 22 | C2×#6554 | C22 | 1 | 2 | yes | complemented |
| 23 | C7×#578 | C22 | 1 | 4 | yes | complemented |
| 24 | C7×#577 | C22 | 1 | 8 | yes | complemented |
| 25 | C7×#576 | C22 | 1 | 4 | yes | complemented |
| 26 | C7×#575 | C22 | 1 | 6 | yes | complemented |
| 27 | C2×C7×#135 | C22 | 1 | 6 | yes | complemented |
| 28 | C2×C7×#131 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #90529 | C22 | 1 | 16 | yes | complemented |
| 30 | #90527 | C22 | 1 | 16 | yes | complemented |
| 31 | C2×#6514 | C22 | 1 | 12 | yes | complemented |
| 32 | #90513 | C22 | 1 | 12 | yes | complemented |
| 33 | #90510 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #90470 | C22 | 1 | 48 | yes | complemented |
| 35 | D7×#137 | C22 | 1 | 48 | yes | complemented |
| 36 | #90466 | C22 | 1 | 48 | yes | complemented |
| 37 | #90464 | C22 | 1 | 48 | yes | complemented |
| 38 | #90462 | C22 | 1 | 24 | yes | complemented |
| 39 | #90462 | C22 | 1 | 24 | yes | complemented |
| 40 | #90462 | C22 | 1 | 24 | yes | complemented |
| 41 | #90462 | C22 | 1 | 12 | yes | complemented |
| 42 | #90461 | C22 | 1 | 24 | yes | complemented |
| 43 | #90460 | C22 | 1 | 4 | yes | complemented |
| 44 | #90459 | C22 | 1 | 24 | yes | complemented |
| 45 | D7×#135 | C22 | 1 | 24 | yes | complemented |
| 46 | #90457 | C22 | 1 | 12 | yes | complemented |
| 47 | C2×D7×Q16 | C22 | 1 | 12 | yes | complemented |
| 48 | #90453 | C22 | 1 | 24 | yes | complemented |
| 49 | C2×#6478 | C22 | 1 | 24 | yes | complemented |
| 50 | #90448 | C22 | 1 | 12 | yes | complemented |
| 51 | C2×#6475 | C22 | 1 | 12 | yes | complemented |
| 52 | #90444 | C22 | 1 | 8 | yes | complemented |
| 53 | #90444 | C22 | 1 | 8 | yes | complemented |
| 54 | #90441 | C22 | 1 | 8 | yes | complemented |
| 55 | D7×#131 | C22 | 1 | 8 | yes | complemented |
| 56 | C2×#6472 | C22 | 1 | 6 | yes | complemented |
| 57 | #90436 | C22 | 1 | 6 | yes | complemented |
| 58 | C22×Dic28 | C22 | 1 | 3 | yes | complemented |
| 59 | C2×#6467 | C22 | 1 | 3 | yes | complemented |
| 60 | C2×#6464 | C22 | 1 | 6 | yes | complemented |
| 61 | #63093 | — | 7 | 1 | no | maximal, Sylow |
| 62 | C7×2−1+4 | — | 2 | 2 | no | — |
| 63 | C7×2−1+4 | C23 | 1 | 8 | yes | — |
| 64 | C7×H(5,𝔽2) | — | 2 | 6 | no | — |
| 65 | C7×H(5,𝔽2) | C23 | 1 | 8 | yes | — |
| 66 | C2×C7×#41 | — | 2 | 8 | no | — |
| 67 | C2×C7×#41 | C23 | 1 | 12 | yes | — |
| 68 | C2×C7×#41 | C23 | 1 | 1 | yes | characteristic |
| 69 | #6554 | — | 2 | 8 | no | — |
| 70 | #6554 | — | 2 | 16 | no | — |
| 71 | #6554 | — | 2 | 48 | no | — |
| 72 | #6554 | — | 2 | 24 | no | — |
| 73 | #6554 | — | 2 | 24 | no | — |
| 74 | #6554 | — | 2 | 12 | no | — |
| 75 | #6554 | D4 | 1 | 4 | yes | — |
| 76 | #6554 | C23 | 1 | 24 | yes | — |
| 77 | #6554 | C23 | 1 | 48 | yes | — |
| 78 | #6554 | C23 | 1 | 16 | yes | — |
| 79 | #6553 | — | 2 | 12 | no | — |
| 80 | #6553 | D4 | 1 | 4 | yes | — |
| 81 | #6553 | C23 | 1 | 8 | yes | — |
| 82 | D7×#41 | — | 2 | 16 | no | — |
| 83 | D7×#41 | — | 2 | 48 | no | — |
| 84 | D7×#41 | — | 2 | 24 | no | — |
| 85 | D7×#41 | C23 | 1 | 48 | yes | — |
| 86 | D7×#41 | C23 | 1 | 8 | yes | — |
| 87 | #6551 | — | 2 | 16 | no | — |
| 88 | #6551 | D4 | 1 | 2 | yes | — |
| 89 | #6551 | C23 | 1 | 24 | yes | — |
| 90 | C2×Q8×D7 | — | 2 | 2 | no | — |
| 91 | C2×Q8×D7 | — | 2 | 16 | no | — |
| 92 | C2×Q8×D7 | C23 | 1 | 24 | yes | — |
| 93 | #6548 | — | 2 | 24 | no | — |
| 94 | #6548 | — | 2 | 48 | no | — |
| 95 | #6548 | D4 | 1 | 6 | yes | — |
| 96 | #6548 | C23 | 1 | 24 | yes | — |
| 97 | C2×#1159 | — | 2 | 6 | no | — |
| 98 | C2×#1159 | — | 2 | 24 | no | — |
| 99 | C2×#1159 | — | 2 | 48 | no | — |
| 100 | C2×#1159 | C23 | 1 | 24 | yes | — |
| 101 | C2×#1157 | — | 2 | 24 | no | — |
| 102 | C2×#1157 | — | 2 | 12 | no | — |
| 103 | C2×#1157 | C23 | 1 | 6 | yes | — |
| 104 | C2×#1157 | C23 | 1 | 6 | yes | — |
| 105 | C22×Dic14 | — | 2 | 12 | no | — |
| 106 | C22×Dic14 | C23 | 1 | 6 | yes | — |
| 107 | C7×#137 | C23 | 1 | 24 | yes | — |
| 108 | C7×AGL(1,ℤ/8) | C23 | 1 | 24 | yes | — |
| 109 | C7×#135 | C23 | 1 | 12 | yes | — |
| 110 | C7×#135 | C23 | 1 | 12 | yes | — |
| 111 | C7×#135 | C23 | 1 | 4 | yes | — |
| 112 | C7×#135 | C23 | 1 | 12 | yes | — |
| 113 | C2×C7×Q16 | C23 | 1 | 6 | yes | — |
| 114 | C2×C7×SD16 | C23 | 1 | 12 | yes | — |
| 115 | C2×C7×D8 | C23 | 1 | 6 | yes | — |
| 116 | C7×#131 | C23 | 1 | 4 | yes | — |
| 117 | C7×#131 | C23 | 1 | 4 | yes | — |
| 118 | C2×C7×M16 | C23 | 1 | 3 | yes | — |
| 119 | C22×C7×C8 | C23 | 1 | 3 | yes | — |
| 120 | #6514 | C23 | 1 | 24 | yes | — |
| 121 | #6514 | C23 | 1 | 48 | yes | — |
| 122 | #6513 | C23 | 1 | 48 | yes | — |
| 123 | #6512 | C23 | 1 | 8 | yes | — |
| 124 | #6511 | C23 | 1 | 8 | yes | — |
| 125 | C2×#1144 | C23 | 1 | 24 | yes | — |
| 126 | #6505 | C23 | 1 | 24 | yes | — |
| 127 | C2×#1142 | C23 | 1 | 24 | yes | — |
| 128 | #6495 | C23 | 1 | 24 | yes | — |
| 129 | C2×#1136 | C23 | 1 | 6 | yes | — |
| 130 | #6482 | C23 | 1 | 8 | yes | — |
| 131 | #6481 | C23 | 1 | 48 | yes | — |
| 132 | D7×Q16 | C23 | 1 | 24 | yes | — |
| 133 | D7×Q16 | C23 | 1 | 48 | yes | — |
| 134 | #6479 | C23 | 1 | 48 | yes | — |
| 135 | #6478 | C23 | 1 | 48 | yes | — |
| 136 | #6478 | C23 | 1 | 96 | yes | — |
| 137 | #6477 | C23 | 1 | 16 | yes | — |
| 138 | D7×SD16 | C23 | 1 | 48 | yes | — |
| 139 | #6475 | C23 | 1 | 24 | yes | — |
| 140 | #6475 | C23 | 1 | 48 | yes | — |
| 141 | #6474 | C23 | 1 | 48 | yes | — |
| 142 | D7×D8 | C23 | 1 | 8 | yes | — |
| 143 | #6472 | C23 | 1 | 48 | yes | — |
| 144 | #6470 | C23 | 1 | 24 | yes | — |
| 145 | D7×M16 | C23 | 1 | 24 | yes | — |
| 146 | C2×Dic28 | C23 | 1 | 3 | yes | — |
| 147 | C2×Dic28 | C23 | 1 | 6 | yes | — |
| 148 | C2×Dic28 | C23 | 1 | 12 | yes | — |
| 149 | C2×Dic28 | C23 | 1 | 12 | yes | — |
| 150 | #6467 | C23 | 1 | 12 | yes | — |
| 151 | #6467 | C23 | 1 | 12 | yes | — |
| 152 | C2×D56 | C23 | 1 | 1 | yes | characteristic |
| 153 | C2×#1132 | C23 | 1 | 6 | yes | — |
| 154 | #6464 | C23 | 1 | 4 | yes | — |
| 155 | #6464 | C23 | 1 | 12 | yes | — |
| 156 | #6464 | C23 | 1 | 12 | yes | — |
| 157 | #6464 | C23 | 1 | 12 | yes | — |
| 158 | C2×#1131 | C23 | 1 | 12 | yes | — |
| 159 | C2×C8×D7 | C23 | 1 | 12 | yes | — |
| 160 | 2−1+6 | — | 7 | 2 | no | — |
| 161 | #3586 | — | 7 | 2 | no | — |
| 162 | #3586 | — | 7 | 16 | no | — |
| 163 | #3586 | — | 7 | 12 | no | — |
| 164 | #3584 | — | 7 | 8 | no | — |
| 165 | #3584 | — | 7 | 6 | no | — |
| 166 | #3584 | D7 | 1 | 1 | yes | characteristic, complemented |
| 167 | C2×#578 | — | 7 | 8 | no | — |
| 168 | C2×#578 | — | 7 | 6 | no | — |
| 169 | C2×#578 | — | 7 | 1 | no | — |
| 170 | #3573 | — | 7 | 1 | no | — |
| 171 | C7×#41 | — | 2 | 8 | no | — |
| 172 | C7×#41 | — | 2 | 24 | no | — |
| 173 | C7×#41 | — | 2 | 12 | no | — |
| 174 | C7×#41 | — | 2 | 12 | no | — |
| 175 | C7×#41 | C2×D4 | 1 | 4 | yes | — |
| 176 | C7×#41 | C24 | 1 | 8 | yes | — |
| 177 | C7×#41 | C24 | 1 | 24 | yes | — |
| 178 | C7×#41 | C24 | 1 | 4 | yes | — |
| 179 | C2×C7×Q8 | — | 2 | 8 | no | — |
| 180 | C2×C7×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×C7×Q8 | C24 | 1 | 12 | yes | — |
| 182 | C2×C7×D4 | — | 2 | 12 | no | — |
| 183 | C2×C7×D4 | — | 2 | 24 | no | — |
| 184 | C2×C7×D4 | C2×D4 | 1 | 3 | yes | — |
| 185 | C2×C7×D4 | C24 | 1 | 12 | yes | — |
| 186 | C22×C4×C7 | — | 2 | 12 | no | — |
| 187 | C22×C4×C7 | C24 | 1 | 3 | yes | — |
| 188 | C2×C22⋊D7 | — | 2 | 6 | no | — |
| 189 | C2×C22⋊D7 | — | 2 | 24 | no | — |
| 190 | C2×C22⋊D7 | — | 2 | 48 | no | — |
| 191 | C2×C22⋊D7 | C2×D4 | 1 | 12 | yes | — |
| 192 | C22×Dic7 | — | 2 | 6 | no | — |
| 193 | C22×Dic7 | — | 2 | 24 | no | — |
| 194 | #1161 | — | 2 | 24 | no | — |
| 195 | #1161 | C2×D4 | 1 | 8 | yes | — |
| 196 | #1161 | C24 | 1 | 16 | yes | — |
| 197 | Q8×D7 | — | 2 | 16 | no | — |
| 198 | Q8×D7 | — | 2 | 48 | no | — |
| 199 | Q8×D7 | — | 2 | 24 | no | — |
| 200 | Q8×D7 | C2×D4 | 1 | 8 | yes | — |
| 201 | Q8×D7 | C24 | 1 | 48 | yes | — |
| 202 | #1159 | — | 2 | 48 | no | — |
| 203 | #1159 | — | 2 | 96 | no | — |
| 204 | #1159 | — | 2 | 48 | no | — |
| 205 | #1159 | — | 2 | 48 | no | — |
| 206 | #1159 | — | 2 | 48 | no | — |
| 207 | #1159 | — | 2 | 24 | no | — |
| 208 | #1159 | C2×D4 | 1 | 24 | yes | — |
| 209 | #1159 | C24 | 1 | 48 | yes | — |
| 210 | D4×D7 | — | 2 | 48 | no | — |
| 211 | D4×D7 | — | 2 | 16 | no | — |
| 212 | D4×D7 | — | 2 | 24 | no | — |
| 213 | D4×D7 | C2×D4 | 1 | 24 | yes | — |
| 214 | D4×D7 | C24 | 1 | 16 | yes | — |
| 215 | #1157 | — | 2 | 12 | no | — |
| 216 | #1157 | — | 2 | 48 | no | — |
| 217 | #1157 | — | 2 | 24 | no | — |
| 218 | #1157 | — | 2 | 48 | no | — |
| 219 | #1157 | — | 2 | 48 | no | — |
| 220 | #1157 | — | 2 | 8 | no | — |
| 221 | #1157 | C2×D4 | 1 | 12 | yes | — |
| 222 | #1157 | C2×D4 | 1 | 12 | yes | — |
| 223 | #1157 | C24 | 1 | 4 | yes | — |
| 224 | #1157 | C24 | 1 | 12 | yes | — |
| 225 | #1157 | C24 | 1 | 24 | yes | — |
| 226 | C2×D28 | — | 2 | 8 | no | — |
| 227 | C2×D28 | C2×D4 | 1 | 6 | yes | — |
| 228 | C2×D28 | C24 | 1 | 2 | yes | — |
| 229 | C2×C4×D7 | — | 2 | 24 | no | — |
| 230 | C2×C4×D7 | — | 2 | 6 | no | — |
| 231 | C2×C4×D7 | — | 2 | 48 | no | — |
| 232 | C2×C4×D7 | C24 | 1 | 12 | yes | — |
| 233 | C2×Dic14 | — | 2 | 12 | no | — |
| 234 | C2×Dic14 | — | 2 | 6 | no | — |
| 235 | C2×Dic14 | — | 2 | 24 | no | — |
| 236 | C2×Dic14 | — | 2 | 24 | no | — |
| 237 | C2×Dic14 | — | 2 | 48 | no | — |
| 238 | C2×Dic14 | C2×D4 | 1 | 6 | yes | — |
| 239 | C2×Dic14 | C24 | 1 | 6 | yes | — |
| 240 | C2×Dic14 | C24 | 1 | 24 | yes | — |
| 241 | C7×Q16 | C24 | 1 | 4 | yes | — |
| 242 | C7×Q16 | C24 | 1 | 12 | yes | — |
| 243 | C7×SD16 | C24 | 1 | 24 | yes | — |
| 244 | C7×SD16 | C24 | 1 | 8 | yes | — |
| 245 | C7×D8 | C24 | 1 | 4 | yes | — |
| 246 | C7×D8 | C24 | 1 | 12 | yes | — |
| 247 | C7×M16 | C24 | 1 | 12 | yes | — |
| 248 | C2×C7×C8 | C24 | 1 | 6 | yes | — |
| 249 | C2×C7×C8 | C24 | 1 | 6 | yes | — |
| 250 | C2×C7×C8 | C24 | 1 | 3 | yes | — |
| 251 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 252 | #1144 | C24 | 1 | 48 | yes | — |
| 253 | #1143 | C24 | 1 | 16 | yes | — |
| 254 | #1142 | C24 | 1 | 48 | yes | — |
| 255 | #1141 | C24 | 1 | 16 | yes | — |
| 256 | #1136 | C24 | 1 | 4 | yes | — |
| 257 | #1136 | C24 | 1 | 12 | yes | — |
| 258 | C2×C7⋊C8 | C24 | 1 | 12 | yes | — |
| 259 | Dic28 | C24 | 1 | 6 | yes | — |
| 260 | Dic28 | C24 | 1 | 6 | yes | — |
| 261 | Dic28 | C24 | 1 | 24 | yes | — |
| 262 | D56 | C24 | 1 | 2 | yes | — |
| 263 | D56 | C24 | 1 | 2 | yes | — |
| 264 | #1132 | C24 | 1 | 24 | yes | — |
| 265 | #1131 | C24 | 1 | 8 | yes | — |
| 266 | #1131 | C24 | 1 | 24 | yes | — |
| 267 | C8×D7 | C24 | 1 | 8 | yes | — |
| 268 | C8×D7 | C24 | 1 | 24 | yes | — |
| 269 | #585 | — | 7 | 1 | no | — |
| 270 | #585 | — | 7 | 16 | no | — |
| 271 | #585 | — | 7 | 12 | no | — |
| 272 | #585 | — | 14 | 8 | no | — |
| 273 | #585 | — | 14 | 12 | no | — |
| 274 | #585 | C2×D7 | 1 | 2 | yes | complemented |
| 275 | C2×2−1+4 | — | 7 | 16 | no | — |
| 276 | C2×2−1+4 | — | 7 | 12 | no | — |
| 277 | C2×2−1+4 | — | 7 | 2 | no | — |
| 278 | C2×2−1+4 | — | 14 | 8 | no | — |
| 279 | C2×2−1+4 | — | 14 | 4 | no | — |
| 280 | #578 | — | 7 | 16 | no | — |
| 281 | #578 | — | 7 | 48 | no | — |
| 282 | #578 | — | 7 | 24 | no | — |
| 283 | #578 | — | 7 | 12 | no | — |
| 284 | #578 | — | 7 | 24 | no | — |
| 285 | #578 | — | 7 | 24 | no | — |
| 286 | #578 | — | 7 | 12 | no | — |
| 287 | #578 | — | 7 | 8 | no | — |
| 288 | #578 | — | 7 | 8 | no | — |
| 289 | #578 | C2×D7 | 1 | 4 | yes | complemented |
| 290 | #577 | — | 7 | 16 | no | — |
| 291 | #577 | — | 7 | 48 | no | — |
| 292 | #577 | — | 7 | 24 | no | — |
| 293 | #577 | — | 7 | 24 | no | — |
| 294 | #577 | C2×D7 | 1 | 8 | yes | complemented |
| 295 | #576 | — | 7 | 4 | no | — |
| 296 | #576 | — | 7 | 12 | no | — |
| 297 | #576 | C2×D7 | 1 | 4 | yes | complemented |
| 298 | #575 | — | 7 | 12 | no | — |
| 299 | #575 | — | 7 | 48 | no | — |
| 300 | #575 | — | 7 | 24 | no | — |
| 301 | #575 | C2×D7 | 1 | 6 | yes | complemented |
| 302 | C2×#137 | — | 7 | 12 | no | — |
| 303 | C2×#137 | — | 7 | 48 | no | — |
| 304 | C2×#137 | — | 7 | 24 | no | — |
| 305 | C2×#137 | — | 7 | 6 | no | — |
| 306 | C2×#135 | — | 7 | 24 | no | — |
| 307 | C2×#135 | — | 7 | 12 | no | — |
| 308 | C2×#135 | — | 7 | 3 | no | — |
| 309 | C2×#135 | C2×D7 | 1 | 6 | yes | complemented |
| 310 | C22×Q16 | — | 7 | 12 | no | — |
| 311 | C22×Q16 | — | 7 | 3 | no | — |
| 312 | #568 | — | 7 | 1 | no | — |
| 313 | #568 | — | 7 | 8 | no | — |
| 314 | #568 | — | 7 | 6 | no | — |
| 315 | C2×#131 | — | 7 | 8 | no | — |
| 316 | C2×#131 | — | 7 | 6 | no | — |
| 317 | C2×#131 | C2×D7 | 1 | 1 | yes | characteristic, complemented |
| 318 | C23×C7 | — | 2 | 12 | no | — |
| 319 | C23×C7 | C22×D4 | 1 | 3 | yes | — |
| 320 | C22×D7 | — | 2 | 2 | no | — |
| 321 | C22×D7 | — | 2 | 16 | no | — |
| 322 | C22×D7 | C22×D4 | 1 | 12 | yes | — |
| 323 | C7×Q8 | — | 2 | 12 | no | — |
| 324 | C7×Q8 | C22×D4 | 1 | 4 | yes | — |
| 325 | C7×Q8 | C25 | 1 | 8 | yes | — |
| 326 | C7×D4 | — | 2 | 8 | no | — |
| 327 | C7×D4 | — | 2 | 24 | no | — |
| 328 | C7×D4 | — | 2 | 12 | no | — |
| 329 | C7×D4 | C22×D4 | 1 | 12 | yes | — |
| 330 | C7×D4 | C25 | 1 | 8 | yes | — |
| 331 | C2×C4×C7 | — | 2 | 12 | no | — |
| 332 | C2×C4×C7 | — | 2 | 8 | no | — |
| 333 | C2×C4×C7 | — | 2 | 24 | no | — |
| 334 | C2×C4×C7 | C22×D4 | 1 | 6 | yes | — |
| 335 | C2×C4×C7 | C22×D4 | 1 | 3 | yes | — |
| 336 | C2×C4×C7 | C25 | 1 | 6 | yes | — |
| 337 | C2×C4×C7 | C25 | 1 | 1 | yes | characteristic |
| 338 | C22⋊D7 | — | 2 | 24 | no | — |
| 339 | C22⋊D7 | — | 2 | 48 | no | — |
| 340 | C22⋊D7 | — | 2 | 16 | no | — |
| 341 | C22⋊D7 | C22×D4 | 1 | 24 | yes | — |
| 342 | C22⋊D7 | C22×D4 | 1 | 8 | yes | — |
| 343 | C2×Dic7 | — | 2 | 6 | no | — |
| 344 | C2×Dic7 | — | 2 | 24 | no | — |
| 345 | C2×Dic7 | — | 2 | 48 | no | — |
| 346 | C2×Dic7 | C22×D4 | 1 | 12 | yes | — |
| 347 | D28 | — | 2 | 16 | no | — |
| 348 | D28 | — | 2 | 2 | no | — |
| 349 | D28 | C22×D4 | 1 | 4 | yes | — |
| 350 | D28 | C22×D4 | 1 | 12 | yes | — |
| 351 | D28 | C25 | 1 | 4 | yes | — |
| 352 | C4×D7 | — | 2 | 48 | no | — |
| 353 | C4×D7 | — | 2 | 24 | no | — |
| 354 | C4×D7 | — | 2 | 16 | no | — |
| 355 | C4×D7 | C22×D4 | 1 | 24 | yes | — |
| 356 | C4×D7 | C25 | 1 | 8 | yes | — |
| 357 | Dic14 | — | 2 | 6 | no | — |
| 358 | Dic14 | — | 2 | 24 | no | — |
| 359 | Dic14 | — | 2 | 48 | no | — |
| 360 | Dic14 | C22×D4 | 1 | 4 | yes | — |
| 361 | Dic14 | C22×D4 | 1 | 12 | yes | — |
| 362 | Dic14 | C25 | 1 | 12 | yes | — |
| 363 | C7×C8 | C25 | 1 | 1 | yes | characteristic |
| 364 | C7×C8 | C25 | 1 | 6 | yes | — |
| 365 | C7×C8 | C25 | 1 | 1 | yes | characteristic |
| 366 | C7⋊C8 | C25 | 1 | 8 | yes | — |
| 367 | 2−1+4 | — | 2 | 2 | no | — |
| 368 | 2−1+4 | — | 7 | 4 | no | — |
| 369 | 2−1+4 | — | 7 | 2 | no | — |
| 370 | 2−1+4 | — | 7 | 48 | no | — |
| 371 | 2−1+4 | — | 7 | 24 | no | — |
| 372 | 2−1+4 | — | 7 | 16 | no | — |
| 373 | 2−1+4 | — | 7 | 24 | no | — |
| 374 | 2−1+4 | — | 14 | 16 | no | — |
| 375 | 2−1+4 | — | 14 | 16 | no | — |
| 376 | 2−1+4 | — | 14 | 12 | no | — |
| 377 | 2−1+4 | — | 14 | 48 | no | — |
| 378 | 2−1+4 | — | 14 | 24 | no | — |
| 379 | 2−1+4 | — | 14 | 24 | no | — |
| 380 | 2−1+4 | — | 14 | 8 | no | — |
| 381 | 2−1+4 | C22×D7 | 1 | 8 | yes | — |
| 382 | H(5,𝔽2) | — | 2 | 6 | no | — |
| 383 | H(5,𝔽2) | — | 7 | 4 | no | — |
| 384 | H(5,𝔽2) | — | 7 | 6 | no | — |
| 385 | H(5,𝔽2) | — | 7 | 8 | no | — |
| 386 | H(5,𝔽2) | — | 7 | 24 | no | — |
| 387 | H(5,𝔽2) | — | 14 | 24 | no | — |
| 388 | H(5,𝔽2) | — | 14 | 48 | no | — |
| 389 | H(5,𝔽2) | — | 14 | 12 | no | — |
| 390 | H(5,𝔽2) | C22×D7 | 1 | 8 | yes | — |
| 391 | C2×#41 | — | 2 | 8 | no | — |
| 392 | C2×#41 | — | 7 | 8 | no | — |
| 393 | C2×#41 | — | 7 | 6 | no | — |
| 394 | C2×#41 | — | 7 | 48 | no | — |
| 395 | C2×#41 | — | 7 | 24 | no | — |
| 396 | C2×#41 | — | 7 | 6 | no | — |
| 397 | C2×#41 | — | 14 | 12 | no | — |
| 398 | C2×#41 | — | 14 | 24 | no | — |
| 399 | C2×#41 | — | 14 | 24 | no | — |
| 400 | C2×#41 | — | 14 | 48 | no | — |
| 401 | C2×#41 | — | 14 | 48 | no | — |
| 402 | C2×#41 | — | 14 | 16 | no | — |
| 403 | C2×#41 | — | 14 | 24 | no | — |
| 404 | C2×#41 | — | 14 | 6 | no | — |
| 405 | C2×#41 | C22×D7 | 1 | 12 | yes | — |
| 406 | C2×#41 | C22×D7 | 1 | 1 | yes | characteristic |
| 407 | C22×Q8 | — | 7 | 24 | no | — |
| 408 | C22×Q8 | — | 7 | 6 | no | — |
| 409 | C22×Q8 | — | 14 | 12 | no | — |
| 410 | C22×Q8 | — | 14 | 16 | no | — |
| 411 | C22×Q8 | — | 14 | 2 | no | — |
| 412 | #137 | — | 7 | 48 | no | — |
| 413 | #137 | — | 7 | 24 | no | — |
| 414 | #137 | — | 7 | 24 | no | — |
| 415 | #137 | — | 7 | 48 | no | — |
| 416 | #137 | — | 7 | 96 | no | — |
| 417 | #137 | — | 7 | 48 | no | — |
| 418 | #137 | — | 7 | 48 | no | — |
| 419 | #137 | C22×D7 | 1 | 24 | yes | — |
| 420 | AGL(1,ℤ/8) | — | 7 | 8 | no | — |
| 421 | AGL(1,ℤ/8) | — | 7 | 24 | no | — |
| 422 | AGL(1,ℤ/8) | — | 7 | 16 | no | — |
| 423 | AGL(1,ℤ/8) | — | 7 | 48 | no | — |
| 424 | AGL(1,ℤ/8) | C22×D7 | 1 | 24 | yes | — |
| 425 | #135 | — | 7 | 48 | no | — |
| 426 | #135 | — | 7 | 8 | no | — |
| 427 | #135 | — | 7 | 48 | no | — |
| 428 | #135 | — | 7 | 24 | no | — |
| 429 | #135 | — | 7 | 48 | no | — |
| 430 | #135 | — | 7 | 12 | no | — |
| 431 | #135 | — | 7 | 12 | no | — |
| 432 | #135 | C22×D7 | 1 | 12 | yes | — |
| 433 | #135 | C22×D7 | 1 | 4 | yes | — |
| 434 | #135 | C22×D7 | 1 | 12 | yes | — |
| 435 | #135 | C22×D7 | 1 | 12 | yes | — |
| 436 | C2×Q16 | — | 7 | 24 | no | — |
| 437 | C2×Q16 | — | 7 | 24 | no | — |
| 438 | C2×Q16 | — | 7 | 48 | no | — |
| 439 | C2×Q16 | — | 7 | 12 | no | — |
| 440 | C2×Q16 | — | 7 | 3 | no | — |
| 441 | C2×Q16 | — | 7 | 12 | no | — |
| 442 | C2×Q16 | — | 7 | 6 | no | — |
| 443 | C2×Q16 | C22×D7 | 1 | 6 | yes | — |
| 444 | C2×SD16 | — | 7 | 24 | no | — |
| 445 | C2×SD16 | — | 7 | 48 | no | — |
| 446 | C2×SD16 | — | 7 | 6 | no | — |
| 447 | C2×SD16 | C22×D7 | 1 | 12 | yes | — |
| 448 | C2×D8 | — | 7 | 8 | no | — |
| 449 | C2×D8 | — | 7 | 1 | no | — |
| 450 | C2×D8 | C22×D7 | 1 | 6 | yes | — |
| 451 | #131 | — | 7 | 8 | no | — |
| 452 | #131 | — | 7 | 24 | no | — |
| 453 | #131 | — | 7 | 12 | no | — |
| 454 | #131 | — | 7 | 4 | no | — |
| 455 | #131 | — | 7 | 12 | no | — |
| 456 | #131 | — | 7 | 12 | no | — |
| 457 | #131 | C22×D7 | 1 | 4 | yes | — |
| 458 | #131 | C22×D7 | 1 | 4 | yes | — |
| 459 | C2×M16 | — | 7 | 6 | no | — |
| 460 | C2×M16 | — | 7 | 24 | no | — |
| 461 | C2×M16 | — | 7 | 12 | no | — |
| 462 | C2×M16 | C22×D7 | 1 | 3 | yes | — |
| 463 | C22×C8 | — | 7 | 12 | no | — |
| 464 | C22×C8 | C22×D7 | 1 | 3 | yes | — |
| 465 | C22×C7 | — | 2 | 8 | no | — |
| 466 | C22×C7 | — | 4 | 3 | no | — |
| 467 | C22×C7 | — | 8 | 12 | no | — |
| 468 | C22×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 469 | C22×C7 | C23×D4 | 1 | 6 | yes | — |
| 470 | C2×D7 | — | 2 | 4 | no | — |
| 471 | C2×D7 | — | 4 | 12 | no | — |
| 472 | C2×D7 | — | 8 | 16 | no | — |
| 473 | C2×D7 | — | 8 | 2 | no | — |
| 474 | C2×D7 | C23×D4 | 1 | 8 | yes | — |
| 475 | C4×C7 | — | 2 | 8 | no | — |
| 476 | C4×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 477 | C4×C7 | C23×D4 | 1 | 6 | yes | — |
| 478 | C4×C7 | C26 | 1 | 1 | yes | characteristic |
| 479 | Dic7 | — | 2 | 12 | no | — |
| 480 | Dic7 | C23×D4 | 1 | 8 | yes | — |
| 481 | #41 | — | 2 | 8 | no | — |
| 482 | #41 | — | 2 | 24 | no | — |
| 483 | #41 | — | 2 | 12 | no | — |
| 484 | #41 | — | 2 | 12 | no | — |
| 485 | #41 | — | 7 | 8 | no | — |
| 486 | #41 | — | 7 | 24 | no | — |
| 487 | #41 | — | 7 | 12 | no | — |
| 488 | #41 | — | 7 | 12 | no | — |
| 489 | #41 | — | 7 | 12 | no | — |
| 490 | #41 | — | 7 | 4 | no | — |
| 491 | #41 | — | 7 | 16 | no | — |
| 492 | #41 | — | 7 | 48 | no | — |
| 493 | #41 | — | 7 | 24 | no | — |
| 494 | #41 | — | 14 | 48 | no | — |
| 495 | #41 | — | 14 | 48 | no | — |
| 496 | #41 | — | 14 | 24 | no | — |
| 497 | #41 | — | 14 | 48 | no | — |
| 498 | #41 | — | 14 | 8 | no | — |
| 499 | #41 | — | 14 | 48 | no | — |
| 500 | #41 | — | 14 | 48 | no | — |
| 501 | #41 | — | 14 | 48 | no | — |
| 502 | #41 | — | 14 | 96 | no | — |
| 503 | #41 | — | 14 | 24 | no | — |
| 504 | #41 | — | 14 | 24 | no | — |
| 505 | #41 | — | 14 | 48 | no | — |
| 506 | #41 | — | 14 | 12 | no | — |
| 507 | #41 | D4×D7 | 1 | 4 | yes | — |
| 508 | #41 | C23×D7 | 1 | 24 | yes | — |
| 509 | #41 | C23×D7 | 1 | 8 | yes | — |
| 510 | #41 | C23×D7 | 1 | 4 | yes | — |
| 511 | C2×Q8 | — | 2 | 8 | no | — |
| 512 | C2×Q8 | — | 7 | 8 | no | — |
| 513 | C2×Q8 | — | 7 | 6 | no | — |
| 514 | C2×Q8 | — | 7 | 48 | no | — |
| 515 | C2×Q8 | — | 7 | 24 | no | — |
| 516 | C2×Q8 | — | 7 | 6 | no | — |
| 517 | C2×Q8 | — | 14 | 24 | no | — |
| 518 | C2×Q8 | — | 14 | 24 | no | — |
| 519 | C2×Q8 | — | 14 | 48 | no | — |
| 520 | C2×Q8 | — | 14 | 48 | no | — |
| 521 | C2×Q8 | — | 14 | 24 | no | — |
| 522 | C2×Q8 | — | 14 | 16 | no | — |
| 523 | C2×Q8 | — | 14 | 12 | no | — |
| 524 | C2×Q8 | — | 14 | 6 | no | — |
| 525 | C2×Q8 | D4×D7 | 1 | 1 | yes | characteristic |
| 526 | C2×Q8 | C23×D7 | 1 | 12 | yes | — |
| 527 | C2×D4 | — | 2 | 12 | no | — |
| 528 | C2×D4 | — | 2 | 24 | no | — |
| 529 | C2×D4 | — | 7 | 12 | no | — |
| 530 | C2×D4 | — | 7 | 24 | no | — |
| 531 | C2×D4 | — | 7 | 16 | no | — |
| 532 | C2×D4 | — | 7 | 6 | no | — |
| 533 | C2×D4 | — | 7 | 2 | no | — |
| 534 | C2×D4 | — | 14 | 8 | no | — |
| 535 | C2×D4 | — | 14 | 16 | no | — |
| 536 | C2×D4 | — | 14 | 24 | no | — |
| 537 | C2×D4 | — | 14 | 48 | no | — |
| 538 | C2×D4 | — | 14 | 48 | no | — |
| 539 | C2×D4 | — | 14 | 24 | no | — |
| 540 | C2×D4 | — | 14 | 6 | no | — |
| 541 | C2×D4 | D4×D7 | 1 | 3 | yes | — |
| 542 | C2×D4 | C23×D7 | 1 | 12 | yes | — |
| 543 | C22×C4 | — | 2 | 12 | no | — |
| 544 | C22×C4 | — | 7 | 12 | no | — |
| 545 | C22×C4 | — | 14 | 48 | no | — |
| 546 | C22×C4 | — | 14 | 24 | no | — |
| 547 | C22×C4 | — | 14 | 24 | no | — |
| 548 | C22×C4 | — | 14 | 6 | no | — |
| 549 | C22×C4 | — | 14 | 6 | no | — |
| 550 | C22×C4 | C23×D7 | 1 | 3 | yes | — |
| 551 | Q16 | — | 7 | 48 | no | — |
| 552 | Q16 | — | 7 | 6 | no | — |
| 553 | Q16 | — | 7 | 24 | no | — |
| 554 | Q16 | — | 7 | 6 | no | — |
| 555 | Q16 | C23×D7 | 1 | 4 | yes | — |
| 556 | Q16 | C23×D7 | 1 | 12 | yes | — |
| 557 | SD16 | — | 7 | 16 | no | — |
| 558 | SD16 | — | 7 | 48 | no | — |
| 559 | SD16 | — | 7 | 24 | no | — |
| 560 | SD16 | C23×D7 | 1 | 24 | yes | — |
| 561 | SD16 | C23×D7 | 1 | 8 | yes | — |
| 562 | D8 | — | 7 | 16 | no | — |
| 563 | D8 | — | 7 | 2 | no | — |
| 564 | D8 | — | 7 | 2 | no | — |
| 565 | D8 | C23×D7 | 1 | 4 | yes | — |
| 566 | D8 | C23×D7 | 1 | 12 | yes | — |
| 567 | M16 | — | 7 | 12 | no | — |
| 568 | M16 | — | 7 | 4 | no | — |
| 569 | M16 | — | 7 | 24 | no | — |
| 570 | M16 | — | 7 | 8 | no | — |
| 571 | M16 | C23×D7 | 1 | 12 | yes | — |
| 572 | C2×C8 | — | 7 | 12 | no | — |
| 573 | C2×C8 | — | 7 | 8 | no | — |
| 574 | C2×C8 | — | 7 | 24 | no | — |
| 575 | C2×C8 | C23×D7 | 1 | 6 | yes | — |
| 576 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 577 | C2×C8 | C23×D7 | 1 | 6 | yes | — |
| 578 | C2×C8 | C23×D7 | 1 | 3 | yes | — |
| 579 | C2×C7 | — | 2 | 6 | no | — |
| 580 | C2×C7 | — | 2 | 1 | no | — |
| 581 | C2×C7 | — | 4 | 8 | no | — |
| 582 | C2×C7 | C24×D4 | 1 | 1 | yes | characteristic |
| 583 | D7 | — | 2 | 8 | no | — |
| 584 | D7 | — | 4 | 4 | no | — |
| 585 | C23 | — | 2 | 12 | no | — |
| 586 | C23 | — | 7 | 12 | no | — |
| 587 | C23 | — | 14 | 16 | no | — |
| 588 | C23 | — | 14 | 2 | no | — |
| 589 | C23 | C2×D4×D7 | 1 | 3 | yes | — |
| 590 | Q8 | — | 2 | 12 | no | — |
| 591 | Q8 | — | 7 | 4 | no | — |
| 592 | Q8 | — | 7 | 12 | no | — |
| 593 | Q8 | — | 7 | 12 | no | — |
| 594 | Q8 | — | 14 | 48 | no | — |
| 595 | Q8 | — | 14 | 6 | no | — |
| 596 | Q8 | — | 14 | 24 | no | — |
| 597 | Q8 | C2×D4×D7 | 1 | 4 | yes | — |
| 598 | Q8 | C24×D7 | 1 | 8 | yes | — |
| 599 | D4 | — | 2 | 24 | no | — |
| 600 | D4 | — | 2 | 8 | no | — |
| 601 | D4 | — | 2 | 12 | no | — |
| 602 | D4 | — | 7 | 24 | no | — |
| 603 | D4 | — | 7 | 8 | no | — |
| 604 | D4 | — | 7 | 4 | no | — |
| 605 | D4 | — | 7 | 4 | no | — |
| 606 | D4 | — | 7 | 12 | no | — |
| 607 | D4 | — | 14 | 16 | no | — |
| 608 | D4 | — | 14 | 16 | no | — |
| 609 | D4 | — | 14 | 48 | no | — |
| 610 | D4 | — | 14 | 24 | no | — |
| 611 | D4 | — | 14 | 2 | no | — |
| 612 | D4 | C2×D4×D7 | 1 | 12 | yes | — |
| 613 | D4 | C24×D7 | 1 | 8 | yes | — |
| 614 | C2×C4 | — | 2 | 12 | no | — |
| 615 | C2×C4 | — | 2 | 8 | no | — |
| 616 | C2×C4 | — | 2 | 24 | no | — |
| 617 | C2×C4 | — | 7 | 12 | no | — |
| 618 | C2×C4 | — | 7 | 8 | no | — |
| 619 | C2×C4 | — | 7 | 24 | no | — |
| 620 | C2×C4 | — | 14 | 16 | no | — |
| 621 | C2×C4 | — | 14 | 48 | no | — |
| 622 | C2×C4 | — | 14 | 48 | no | — |
| 623 | C2×C4 | — | 14 | 24 | no | — |
| 624 | C2×C4 | — | 14 | 6 | no | — |
| 625 | C2×C4 | — | 14 | 24 | no | — |
| 626 | C2×C4 | C2×D4×D7 | 1 | 6 | yes | — |
| 627 | C2×C4 | C2×D4×D7 | 1 | 3 | yes | — |
| 628 | C2×C4 | C24×D7 | 1 | 6 | yes | — |
| 629 | C2×C4 | C24×D7 | 1 | 1 | yes | characteristic |
| 630 | C8 | — | 7 | 8 | no | — |
| 631 | C8 | C24×D7 | 1 | 1 | yes | characteristic |
| 632 | C8 | C24×D7 | 1 | 6 | yes | — |
| 633 | C8 | C24×D7 | 1 | 1 | yes | characteristic |
| 634 | C7 | #63093 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 635 | C22 | — | 2 | 8 | no | — |
| 636 | C22 | — | 4 | 3 | no | — |
| 637 | C22 | — | 7 | 8 | no | — |
| 638 | C22 | — | 8 | 12 | no | — |
| 639 | C22 | — | 14 | 4 | no | — |
| 640 | C22 | — | 28 | 12 | no | — |
| 641 | C22 | — | 56 | 2 | no | — |
| 642 | C22 | — | 56 | 16 | no | — |
| 643 | C22 | C22×D4×D7 | 1 | 6 | yes | — |
| 644 | C22 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 645 | C4 | — | 2 | 8 | no | — |
| 646 | C4 | — | 7 | 8 | no | — |
| 647 | C4 | — | 14 | 12 | no | — |
| 648 | C4 | C22×D4×D7 | 1 | 1 | yes | characteristic |
| 649 | C4 | C22×D4×D7 | 1 | 6 | yes | — |
| 650 | C4 | C25×D7 | 1 | 1 | yes | characteristic |
| 651 | C2 | — | 2 | 1 | no | — |
| 652 | C2 | — | 2 | 6 | no | — |
| 653 | C2 | — | 4 | 8 | no | — |
| 654 | C2 | — | 14 | 8 | no | — |
| 655 | C2 | — | 28 | 4 | no | — |
| 656 | C2 | C23×D4×D7 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C23×D4×D7 |
| commutator, cosocle | C4×C7 | C26 |
| Frattini | C4 | C25×D7 |
| Fitting | C7×#3584 | C2 |
| socle | C2×C7 | C24×D4 |
| hypercenter | #3584 | D7 |
| hypocenter | C7 | #63093 |
| LCS | G ▷ C4×C7 ▷ C2×C7 ▷ C7 | |
| UCS | C1 ◁ C2 ◁ C2×#41 ◁ #3584 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11744564 | C2 | semidirect |
| 2. C7×#3584 | C2 | semidirect |
| 3. #11744367 | C2 | semidirect |
| 4. D7×#578 | C2 | semidirect |
| 5. #11744276 | C2 | semidirect |
| 6. #11744271 | C2 | semidirect |
| 7. #11744269 | C2 | semidirect |
| 8. #11744255 | C2 | semidirect |
| 9. C2×#90462 | C2 | semidirect |
| 10. C2×#90444 | C2 | semidirect |
| 11. #11744228 | C2 | semidirect |
| 12. C7×#585 | C22 | semidirect |
| 14. D7×2−1+4 | C22 | semidirect |
| 16. #90618 | C22 | semidirect |
| 19. #90616 | C22 | semidirect |
| 21. C2×#6554 | C22 | semidirect |
| 22. C2×#6554 | C22 | semidirect |
| 23. C7×#578 | C22 | semidirect |
| 24. C7×#577 | C22 | semidirect |
| 25. C7×#576 | C22 | semidirect |
| 26. C7×#575 | C22 | semidirect |
| 27. C2×C7×#135 | C22 | semidirect |
| 28. C2×C7×#131 | C22 | semidirect |
| 29. #90529 | C22 | semidirect |
| 30. #90527 | C22 | semidirect |
| 31. C2×#6514 | C22 | semidirect |
| 32. #90513 | C22 | semidirect |
| 33. #90510 | C22 | semidirect |
| 34. #90470 | C22 | semidirect |
| 35. D7×#137 | C22 | semidirect |
| 36. #90466 | C22 | semidirect |
| 37. #90464 | C22 | semidirect |
| 38. #90462 | C22 | semidirect |
| 39. #90462 | C22 | semidirect |
| 40. #90462 | C22 | semidirect |
| 41. #90462 | C22 | semidirect |
| 42. #90461 | C22 | semidirect |
| 43. #90460 | C22 | semidirect |
| 44. #90459 | C22 | semidirect |
| 45. D7×#135 | C22 | semidirect |
| 46. #90457 | C22 | semidirect |
| 47. C2×D7×Q16 | C22 | semidirect |
| 48. #90453 | C22 | semidirect |
| 49. C2×#6478 | C22 | semidirect |
| 50. #90448 | C22 | semidirect |
| 51. C2×#6475 | C22 | semidirect |
| 52. #90444 | C22 | semidirect |
| 53. #90444 | C22 | semidirect |
| 54. #90441 | C22 | semidirect |
| 55. D7×#131 | C22 | semidirect |
| 56. C2×#6472 | C22 | semidirect |
| 57. #90436 | C22 | semidirect |
| 58. C22×Dic28 | C22 | semidirect |
| 59. C2×#6467 | C22 | semidirect |
| 60. C2×#6464 | C22 | semidirect |
| 166. #3584 | D7 | semidirect |
| 274. #585 | C2×D7 | semidirect |
| 289. #578 | C2×D7 | semidirect |
| 294. #577 | C2×D7 | semidirect |
| 297. #576 | C2×D7 | semidirect |
| 301. #575 | C2×D7 | semidirect |
| 309. C2×#135 | C2×D7 | semidirect |
| 317. C2×#131 | C2×D7 | semidirect |
| 634. C7 | #63093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11744564 | 2 |
| C7×#3584 | 2 |
| #11744367 | 2 |
| D7×#578 | 2 |
| #11744276 | 2 |
| #11744271 | 2 |
| #11744269 | 2 |
| #11744255 | 2 |
| C2×#90462 | 2 |
| C2×#90444 | 2 |
| #11744228 | 2 |
| #63093 | 7 |