← #14260326
Subgroups — #14260326
Order 1792.
2038 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C7×#3584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11744231 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11741462 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #11741461 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #11741453 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #11741452 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #11741339 | C2 | 1 | 6 | yes | maximal, complemented |
| 8 | C2×#89966 | C2 | 1 | 6 | yes | maximal, complemented |
| 9 | C2×#89912 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C7×#585 | — | 2 | 1 | no | — |
| 11 | #90616 | — | 2 | 1 | no | — |
| 12 | C7×#578 | C22 | 1 | 4 | yes | complemented |
| 13 | C7×#577 | — | 2 | 4 | no | — |
| 14 | C7×#576 | C22 | 1 | 4 | yes | complemented |
| 15 | C7×#575 | — | 2 | 3 | no | — |
| 16 | C2×C7×#135 | C22 | 1 | 6 | yes | complemented |
| 17 | C2×C7×#131 | C22 | 1 | 1 | yes | characteristic |
| 18 | #90444 | C22 | 1 | 4 | yes | complemented |
| 19 | #90443 | C22 | 1 | 4 | yes | complemented |
| 20 | #90442 | — | 2 | 4 | no | — |
| 21 | #90439 | — | 2 | 3 | no | — |
| 22 | C2×#6467 | C22 | 1 | 6 | yes | complemented |
| 23 | #89967 | C22 | 1 | 12 | yes | complemented |
| 24 | #89966 | C22 | 1 | 12 | yes | complemented |
| 25 | #89966 | C22 | 1 | 12 | yes | complemented |
| 26 | #89966 | C22 | 1 | 4 | yes | complemented |
| 27 | #89966 | C22 | 1 | 12 | yes | complemented |
| 28 | #89965 | C22 | 1 | 12 | yes | complemented |
| 29 | C2×#6403 | C22 | 1 | 6 | yes | complemented |
| 30 | #89951 | C22 | 1 | 12 | yes | complemented |
| 31 | C2×#6402 | C22 | 1 | 6 | yes | complemented |
| 32 | C2×#6401 | C22 | 1 | 6 | yes | complemented |
| 33 | #89919 | C22 | 1 | 12 | yes | complemented |
| 34 | C2×#6400 | C22 | 1 | 6 | yes | complemented |
| 35 | #89912 | C22 | 1 | 4 | yes | complemented |
| 36 | #89912 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×#6386 | C22 | 1 | 3 | yes | complemented |
| 38 | C22×C7⋊C16 | C22 | 1 | 3 | yes | complemented |
| 39 | #62635 | — | 7 | 1 | no | maximal, Sylow |
| 40 | C7×2−1+4 | — | 2 | 4 | no | — |
| 41 | C7×2−1+4 | — | 4 | 1 | no | — |
| 42 | C7×H(5,𝔽2) | — | 2 | 4 | no | — |
| 43 | C7×H(5,𝔽2) | — | 4 | 3 | no | — |
| 44 | C2×C7×#41 | — | 2 | 6 | no | — |
| 45 | C2×C7×#41 | — | 4 | 4 | no | — |
| 46 | C2×C7×#41 | D4 | 1 | 1 | yes | characteristic |
| 47 | #6554 | — | 2 | 4 | no | — |
| 48 | #6553 | — | 2 | 4 | no | — |
| 49 | D7×#41 | — | 4 | 4 | no | — |
| 50 | #6551 | — | 4 | 1 | no | — |
| 51 | #6548 | — | 4 | 3 | no | — |
| 52 | C2×#1157 | — | 2 | 6 | no | — |
| 53 | C7×#137 | — | 2 | 12 | no | — |
| 54 | C7×AGL(1,ℤ/8) | — | 2 | 12 | no | — |
| 55 | C7×#135 | — | 2 | 6 | no | — |
| 56 | C7×#135 | — | 2 | 6 | no | — |
| 57 | C7×#135 | C23 | 1 | 12 | yes | — |
| 58 | C7×#135 | C23 | 1 | 4 | yes | — |
| 59 | C2×C7×Q16 | C23 | 1 | 6 | yes | — |
| 60 | C2×C7×SD16 | — | 2 | 6 | no | — |
| 61 | C2×C7×D8 | C23 | 1 | 6 | yes | — |
| 62 | C7×#131 | D4 | 1 | 4 | yes | — |
| 63 | C7×#131 | C23 | 1 | 4 | yes | — |
| 64 | C2×C7×M16 | D4 | 1 | 3 | yes | — |
| 65 | C22×C7×C8 | C23 | 1 | 3 | yes | — |
| 66 | #6472 | — | 2 | 12 | no | — |
| 67 | #6471 | — | 2 | 12 | no | — |
| 68 | C2×Dic28 | C23 | 1 | 6 | yes | — |
| 69 | #6467 | — | 2 | 6 | no | — |
| 70 | #6467 | — | 2 | 6 | no | — |
| 71 | #6467 | C23 | 1 | 12 | yes | — |
| 72 | #6467 | C23 | 1 | 4 | yes | — |
| 73 | C2×D56 | C23 | 1 | 6 | yes | — |
| 74 | C2×#1132 | — | 2 | 6 | no | — |
| 75 | #6403 | C23 | 1 | 12 | yes | — |
| 76 | #6403 | C23 | 1 | 4 | yes | — |
| 77 | #6402 | C23 | 1 | 4 | yes | — |
| 78 | #6402 | C23 | 1 | 12 | yes | — |
| 79 | #6401 | C23 | 1 | 12 | yes | — |
| 80 | #6401 | C23 | 1 | 4 | yes | — |
| 81 | #6400 | C23 | 1 | 4 | yes | — |
| 82 | #6400 | C23 | 1 | 12 | yes | — |
| 83 | #6386 | C23 | 1 | 12 | yes | — |
| 84 | C2×C7⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 85 | C2×C7⋊C16 | C23 | 1 | 3 | yes | — |
| 86 | C2×C7⋊C16 | C23 | 1 | 6 | yes | — |
| 87 | C2×C7⋊C16 | C23 | 1 | 6 | yes | — |
| 88 | #3584 | — | 7 | 1 | no | — |
| 89 | #3584 | D7 | 1 | 1 | yes | characteristic, complemented |
| 90 | #3417 | — | 7 | 4 | no | — |
| 91 | #3416 | — | 7 | 4 | no | — |
| 92 | #3416 | — | 7 | 4 | no | — |
| 93 | #3415 | — | 7 | 4 | no | — |
| 94 | #3414 | — | 7 | 6 | no | — |
| 95 | C2×#508 | — | 7 | 6 | no | — |
| 96 | C2×#504 | — | 7 | 1 | no | — |
| 97 | C7×#41 | — | 2 | 4 | no | — |
| 98 | C7×#41 | — | 2 | 12 | no | — |
| 99 | C7×#41 | — | 4 | 4 | no | — |
| 100 | C7×#41 | — | 4 | 12 | no | — |
| 101 | C7×#41 | — | 4 | 6 | no | — |
| 102 | C7×#41 | — | 4 | 6 | no | — |
| 103 | C7×#41 | D8 | 1 | 4 | yes | — |
| 104 | C7×#41 | C2×D4 | 1 | 4 | yes | — |
| 105 | C2×C7×Q8 | — | 2 | 6 | no | — |
| 106 | C2×C7×Q8 | — | 4 | 4 | no | — |
| 107 | C2×C7×Q8 | D8 | 1 | 1 | yes | characteristic |
| 108 | C2×C7×D4 | — | 2 | 6 | no | — |
| 109 | C2×C7×D4 | — | 4 | 6 | no | — |
| 110 | C2×C7×D4 | — | 4 | 12 | no | — |
| 111 | C2×C7×D4 | D8 | 1 | 3 | yes | — |
| 112 | C22×C4×C7 | — | 4 | 6 | no | — |
| 113 | C22×C4×C7 | C2×D4 | 1 | 3 | yes | — |
| 114 | C2×C22⋊D7 | — | 4 | 6 | no | — |
| 115 | #1161 | — | 4 | 4 | no | — |
| 116 | Q8×D7 | — | 4 | 4 | no | — |
| 117 | #1159 | — | 4 | 12 | no | — |
| 118 | D4×D7 | — | 4 | 12 | no | — |
| 119 | #1157 | — | 2 | 4 | no | — |
| 120 | #1157 | — | 2 | 12 | no | — |
| 121 | #1157 | — | 4 | 6 | no | — |
| 122 | #1157 | — | 4 | 6 | no | — |
| 123 | C2×D28 | — | 2 | 6 | no | — |
| 124 | C2×C4×D7 | — | 4 | 6 | no | — |
| 125 | C2×Dic14 | — | 2 | 6 | no | — |
| 126 | C7×Q16 | — | 2 | 6 | no | — |
| 127 | C7×Q16 | C24 | 1 | 4 | yes | — |
| 128 | C7×SD16 | — | 2 | 4 | no | — |
| 129 | C7×SD16 | — | 2 | 12 | no | — |
| 130 | C7×D8 | — | 2 | 6 | no | — |
| 131 | C7×D8 | C24 | 1 | 4 | yes | — |
| 132 | C7×M16 | C2×D4 | 1 | 12 | yes | — |
| 133 | C2×C7×C8 | C2×D4 | 1 | 6 | yes | — |
| 134 | C2×C7×C8 | C2×D4 | 1 | 3 | yes | — |
| 135 | C2×C7×C8 | C24 | 1 | 6 | yes | — |
| 136 | C2×C7×C8 | C24 | 1 | 1 | yes | characteristic |
| 137 | Dic28 | — | 2 | 6 | no | — |
| 138 | Dic28 | C24 | 1 | 4 | yes | — |
| 139 | D56 | — | 2 | 6 | no | — |
| 140 | D56 | C24 | 1 | 4 | yes | — |
| 141 | #1132 | — | 2 | 4 | no | — |
| 142 | #1132 | — | 2 | 12 | no | — |
| 143 | C7⋊C16 | C24 | 1 | 1 | yes | characteristic |
| 144 | C7⋊C16 | C24 | 1 | 6 | yes | — |
| 145 | C7⋊C16 | C24 | 1 | 1 | yes | characteristic |
| 146 | #585 | — | 2 | 1 | no | — |
| 147 | #585 | — | 14 | 1 | no | — |
| 148 | #578 | — | 7 | 4 | no | — |
| 149 | #578 | C2×D7 | 1 | 4 | yes | complemented |
| 150 | #577 | — | 2 | 4 | no | — |
| 151 | #577 | — | 14 | 4 | no | — |
| 152 | #576 | — | 7 | 4 | no | — |
| 153 | #576 | C2×D7 | 1 | 4 | yes | complemented |
| 154 | #575 | — | 2 | 3 | no | — |
| 155 | #575 | — | 14 | 3 | no | — |
| 156 | C2×#135 | — | 7 | 6 | no | — |
| 157 | C2×#135 | C2×D7 | 1 | 6 | yes | complemented |
| 158 | C2×#131 | C2×D7 | 1 | 1 | yes | characteristic |
| 159 | #510 | — | 7 | 12 | no | — |
| 160 | #510 | — | 7 | 12 | no | — |
| 161 | #509 | — | 7 | 12 | no | — |
| 162 | #509 | — | 7 | 12 | no | — |
| 163 | #508 | — | 7 | 4 | no | — |
| 164 | #508 | — | 7 | 12 | no | — |
| 165 | #508 | — | 7 | 12 | no | — |
| 166 | #508 | — | 7 | 12 | no | — |
| 167 | C2×Q32 | — | 7 | 6 | no | — |
| 168 | C2×SD32 | — | 7 | 6 | no | — |
| 169 | C2×SD32 | — | 7 | 6 | no | — |
| 170 | C2×D16 | — | 7 | 6 | no | — |
| 171 | #504 | — | 7 | 4 | no | — |
| 172 | #504 | — | 7 | 4 | no | — |
| 173 | C2×M32 | — | 7 | 3 | no | — |
| 174 | C22×C16 | — | 7 | 3 | no | — |
| 175 | C23×C7 | — | 4 | 6 | no | — |
| 176 | C23×C7 | C2×D8 | 1 | 3 | yes | — |
| 177 | C22×D7 | — | 4 | 6 | no | — |
| 178 | C7×Q8 | — | 2 | 4 | no | — |
| 179 | C7×Q8 | — | 4 | 6 | no | — |
| 180 | C7×Q8 | C2×D8 | 1 | 4 | yes | — |
| 181 | C7×D4 | — | 2 | 4 | no | — |
| 182 | C7×D4 | — | 4 | 12 | no | — |
| 183 | C7×D4 | — | 4 | 4 | no | — |
| 184 | C7×D4 | — | 4 | 6 | no | — |
| 185 | C7×D4 | C2×D8 | 1 | 12 | yes | — |
| 186 | C2×C4×C7 | — | 4 | 6 | no | — |
| 187 | C2×C4×C7 | — | 4 | 4 | no | — |
| 188 | C2×C4×C7 | — | 4 | 12 | no | — |
| 189 | C2×C4×C7 | C2×D8 | 1 | 6 | yes | — |
| 190 | C2×C4×C7 | C2×D8 | 1 | 3 | yes | — |
| 191 | C2×C4×C7 | C22×D4 | 1 | 1 | yes | characteristic |
| 192 | C2×C4×C7 | C22×D4 | 1 | 6 | yes | — |
| 193 | C22⋊D7 | — | 4 | 4 | no | — |
| 194 | C22⋊D7 | — | 4 | 12 | no | — |
| 195 | C2×Dic7 | — | 4 | 6 | no | — |
| 196 | D28 | — | 2 | 4 | no | — |
| 197 | D28 | — | 4 | 6 | no | — |
| 198 | C4×D7 | — | 4 | 4 | no | — |
| 199 | C4×D7 | — | 4 | 12 | no | — |
| 200 | Dic14 | — | 2 | 4 | no | — |
| 201 | Dic14 | — | 4 | 6 | no | — |
| 202 | C7×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 203 | C7×C8 | C22×D4 | 1 | 6 | yes | — |
| 204 | C7×C8 | C25 | 1 | 1 | yes | characteristic |
| 205 | 2−1+4 | — | 2 | 4 | no | — |
| 206 | 2−1+4 | — | 4 | 1 | no | — |
| 207 | 2−1+4 | — | 14 | 4 | no | — |
| 208 | 2−1+4 | — | 28 | 1 | no | — |
| 209 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 210 | H(5,𝔽2) | — | 4 | 3 | no | — |
| 211 | H(5,𝔽2) | — | 14 | 4 | no | — |
| 212 | H(5,𝔽2) | — | 28 | 3 | no | — |
| 213 | C2×#41 | — | 2 | 6 | no | — |
| 214 | C2×#41 | — | 4 | 4 | no | — |
| 215 | C2×#41 | — | 14 | 6 | no | — |
| 216 | C2×#41 | — | 28 | 4 | no | — |
| 217 | C2×#41 | C22⋊D7 | 1 | 1 | yes | characteristic |
| 218 | #137 | — | 2 | 12 | no | — |
| 219 | #137 | — | 14 | 12 | no | — |
| 220 | AGL(1,ℤ/8) | — | 2 | 12 | no | — |
| 221 | AGL(1,ℤ/8) | — | 14 | 12 | no | — |
| 222 | #135 | — | 2 | 6 | no | — |
| 223 | #135 | — | 2 | 6 | no | — |
| 224 | #135 | — | 7 | 4 | no | — |
| 225 | #135 | — | 7 | 12 | no | — |
| 226 | #135 | — | 14 | 6 | no | — |
| 227 | #135 | — | 14 | 6 | no | — |
| 228 | #135 | C22×D7 | 1 | 4 | yes | — |
| 229 | #135 | C22×D7 | 1 | 12 | yes | — |
| 230 | C2×Q16 | — | 7 | 6 | no | — |
| 231 | C2×Q16 | C22×D7 | 1 | 6 | yes | — |
| 232 | C2×SD16 | — | 2 | 6 | no | — |
| 233 | C2×SD16 | — | 14 | 6 | no | — |
| 234 | C2×D8 | — | 7 | 6 | no | — |
| 235 | C2×D8 | C22×D7 | 1 | 6 | yes | — |
| 236 | #131 | C22⋊D7 | 1 | 4 | yes | — |
| 237 | #131 | C22×D7 | 1 | 4 | yes | — |
| 238 | C2×M16 | C22⋊D7 | 1 | 3 | yes | — |
| 239 | C22×C8 | C22×D7 | 1 | 3 | yes | — |
| 240 | Q32 | — | 7 | 4 | no | — |
| 241 | Q32 | — | 7 | 12 | no | — |
| 242 | SD32 | — | 7 | 4 | no | — |
| 243 | SD32 | — | 7 | 12 | no | — |
| 244 | SD32 | — | 7 | 4 | no | — |
| 245 | SD32 | — | 7 | 12 | no | — |
| 246 | D16 | — | 7 | 4 | no | — |
| 247 | D16 | — | 7 | 12 | no | — |
| 248 | M32 | — | 7 | 12 | no | — |
| 249 | C2×C16 | — | 7 | 1 | no | — |
| 250 | C2×C16 | — | 7 | 3 | no | — |
| 251 | C2×C16 | — | 7 | 6 | no | — |
| 252 | C2×C16 | — | 7 | 6 | no | — |
| 253 | C22×C7 | — | 4 | 3 | no | — |
| 254 | C22×C7 | — | 4 | 4 | no | — |
| 255 | C22×C7 | — | 16 | 6 | no | — |
| 256 | C22×C7 | C22×D8 | 1 | 6 | yes | — |
| 257 | C22×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 258 | C2×D7 | — | 4 | 4 | no | — |
| 259 | C2×D7 | — | 16 | 6 | no | — |
| 260 | C4×C7 | — | 4 | 4 | no | — |
| 261 | C4×C7 | C22×D8 | 1 | 6 | yes | — |
| 262 | C4×C7 | C22×D8 | 1 | 1 | yes | characteristic |
| 263 | C4×C7 | C23×D4 | 1 | 1 | yes | characteristic |
| 264 | Dic7 | — | 4 | 4 | no | — |
| 265 | #41 | — | 2 | 4 | no | — |
| 266 | #41 | — | 2 | 12 | no | — |
| 267 | #41 | — | 4 | 4 | no | — |
| 268 | #41 | — | 4 | 12 | no | — |
| 269 | #41 | — | 4 | 6 | no | — |
| 270 | #41 | — | 4 | 6 | no | — |
| 271 | #41 | — | 14 | 4 | no | — |
| 272 | #41 | — | 14 | 12 | no | — |
| 273 | #41 | — | 28 | 4 | no | — |
| 274 | #41 | — | 28 | 12 | no | — |
| 275 | #41 | — | 28 | 6 | no | — |
| 276 | #41 | — | 28 | 6 | no | — |
| 277 | #41 | #1141 | 1 | 4 | yes | — |
| 278 | #41 | C2×C22⋊D7 | 1 | 4 | yes | — |
| 279 | C2×Q8 | — | 2 | 6 | no | — |
| 280 | C2×Q8 | — | 4 | 4 | no | — |
| 281 | C2×Q8 | — | 14 | 6 | no | — |
| 282 | C2×Q8 | — | 28 | 4 | no | — |
| 283 | C2×Q8 | #1141 | 1 | 1 | yes | characteristic |
| 284 | C2×D4 | — | 2 | 6 | no | — |
| 285 | C2×D4 | — | 4 | 6 | no | — |
| 286 | C2×D4 | — | 4 | 12 | no | — |
| 287 | C2×D4 | — | 14 | 6 | no | — |
| 288 | C2×D4 | — | 28 | 6 | no | — |
| 289 | C2×D4 | — | 28 | 12 | no | — |
| 290 | C2×D4 | #1141 | 1 | 3 | yes | — |
| 291 | C22×C4 | — | 4 | 6 | no | — |
| 292 | C22×C4 | — | 28 | 6 | no | — |
| 293 | C22×C4 | C2×C22⋊D7 | 1 | 3 | yes | — |
| 294 | Q16 | — | 2 | 6 | no | — |
| 295 | Q16 | — | 7 | 4 | no | — |
| 296 | Q16 | — | 14 | 6 | no | — |
| 297 | Q16 | C23×D7 | 1 | 4 | yes | — |
| 298 | SD16 | — | 2 | 4 | no | — |
| 299 | SD16 | — | 2 | 12 | no | — |
| 300 | SD16 | — | 14 | 4 | no | — |
| 301 | SD16 | — | 14 | 12 | no | — |
| 302 | D8 | — | 2 | 6 | no | — |
| 303 | D8 | — | 7 | 4 | no | — |
| 304 | D8 | — | 14 | 6 | no | — |
| 305 | D8 | C23×D7 | 1 | 4 | yes | — |
| 306 | M16 | C2×C22⋊D7 | 1 | 12 | yes | — |
| 307 | C2×C8 | C2×C22⋊D7 | 1 | 3 | yes | — |
| 308 | C2×C8 | C2×C22⋊D7 | 1 | 6 | yes | — |
| 309 | C2×C8 | C23×D7 | 1 | 1 | yes | characteristic |
| 310 | C2×C8 | C23×D7 | 1 | 6 | yes | — |
| 311 | C16 | — | 7 | 1 | no | — |
| 312 | C16 | — | 7 | 1 | no | — |
| 313 | C16 | — | 7 | 6 | no | — |
| 314 | C2×C7 | — | 2 | 6 | no | — |
| 315 | C2×C7 | — | 2 | 1 | no | — |
| 316 | C2×C7 | — | 8 | 4 | no | — |
| 317 | C2×C7 | C23×D8 | 1 | 1 | yes | characteristic |
| 318 | D7 | — | 8 | 4 | no | — |
| 319 | C23 | — | 4 | 6 | no | — |
| 320 | C23 | — | 28 | 6 | no | — |
| 321 | C23 | C2×#1141 | 1 | 3 | yes | — |
| 322 | Q8 | — | 2 | 4 | no | — |
| 323 | Q8 | — | 4 | 6 | no | — |
| 324 | Q8 | — | 14 | 4 | no | — |
| 325 | Q8 | — | 28 | 6 | no | — |
| 326 | Q8 | C2×#1141 | 1 | 4 | yes | — |
| 327 | D4 | — | 2 | 4 | no | — |
| 328 | D4 | — | 4 | 12 | no | — |
| 329 | D4 | — | 4 | 4 | no | — |
| 330 | D4 | — | 4 | 6 | no | — |
| 331 | D4 | — | 14 | 4 | no | — |
| 332 | D4 | — | 28 | 12 | no | — |
| 333 | D4 | — | 28 | 4 | no | — |
| 334 | D4 | — | 28 | 6 | no | — |
| 335 | D4 | C2×#1141 | 1 | 12 | yes | — |
| 336 | C2×C4 | — | 4 | 6 | no | — |
| 337 | C2×C4 | — | 4 | 12 | no | — |
| 338 | C2×C4 | — | 4 | 4 | no | — |
| 339 | C2×C4 | — | 28 | 6 | no | — |
| 340 | C2×C4 | — | 28 | 12 | no | — |
| 341 | C2×C4 | — | 28 | 4 | no | — |
| 342 | C2×C4 | C2×#1141 | 1 | 3 | yes | — |
| 343 | C2×C4 | C2×#1141 | 1 | 6 | yes | — |
| 344 | C2×C4 | C22×C22⋊D7 | 1 | 6 | yes | — |
| 345 | C2×C4 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 346 | C8 | C22×C22⋊D7 | 1 | 1 | yes | characteristic |
| 347 | C8 | C22×C22⋊D7 | 1 | 6 | yes | — |
| 348 | C8 | C24×D7 | 1 | 1 | yes | characteristic |
| 349 | C7 | #62635 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 350 | C22 | — | 4 | 3 | no | — |
| 351 | C22 | — | 4 | 4 | no | — |
| 352 | C22 | — | 16 | 6 | no | — |
| 353 | C22 | — | 28 | 4 | no | — |
| 354 | C22 | — | 112 | 6 | no | — |
| 355 | C22 | C22×#1141 | 1 | 6 | yes | — |
| 356 | C22 | C22×#1141 | 1 | 1 | yes | characteristic |
| 357 | C4 | — | 4 | 4 | no | — |
| 358 | C4 | — | 28 | 4 | no | — |
| 359 | C4 | C22×#1141 | 1 | 6 | yes | — |
| 360 | C4 | C22×#1141 | 1 | 1 | yes | characteristic |
| 361 | C4 | C23×C22⋊D7 | 1 | 1 | yes | characteristic |
| 362 | C2 | — | 2 | 1 | no | — |
| 363 | C2 | — | 2 | 6 | no | — |
| 364 | C2 | — | 8 | 4 | no | — |
| 365 | C2 | — | 56 | 4 | no | — |
| 366 | C2 | C23×#1141 | 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