← #14745792
Subgroups — #14745792
Order 2816.
556 conjugacy classes of subgroups.
The subgroup lattice has 370 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | Q8×Dic44 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13081354 | C2 | 1 | 2 | yes | maximal |
| 3 | #13081047 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13068226 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13068199 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13068015 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #13068010 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13067839 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13067790 | C2 | 1 | 2 | yes | maximal |
| 10 | #13067514 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C8×C11×SD16 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | Q8×Dic22 | C22 | 1 | 2 | yes | — |
| 13 | #10623073 | C22 | 1 | 2 | yes | — |
| 14 | C8×Q8×C11 | C22 | 1 | 1 | yes | characteristic |
| 15 | C4×C11×SD16 | C22 | 1 | 1 | yes | characteristic |
| 16 | C8×D4×C11 | C22 | 1 | 1 | yes | characteristic |
| 17 | #10622779 | — | 2 | 2 | no | — |
| 18 | #10622729 | — | 2 | 1 | no | — |
| 19 | #10622719 | — | 2 | 1 | no | — |
| 20 | #10622644 | C22 | 1 | 2 | yes | — |
| 21 | #10622621 | C22 | 1 | 2 | yes | — |
| 22 | #10622467 | — | 2 | 2 | no | — |
| 23 | #10622464 | C22 | 1 | 2 | yes | — |
| 24 | #10622463 | — | 2 | 2 | no | — |
| 25 | #10622463 | C22 | 1 | 2 | yes | — |
| 26 | #10622402 | — | 2 | 2 | no | — |
| 27 | #10622378 | — | 2 | 2 | no | — |
| 28 | #10622336 | — | 2 | 2 | no | — |
| 29 | C4×Dic44 | — | 2 | 1 | no | — |
| 30 | C4×Dic44 | C22 | 1 | 1 | yes | characteristic |
| 31 | #10622295 | — | 2 | 1 | no | — |
| 32 | #10622295 | C22 | 1 | 1 | yes | characteristic |
| 33 | #10622295 | C22 | 1 | 1 | yes | characteristic |
| 34 | #10622294 | C22 | 1 | 2 | yes | — |
| 35 | #10622294 | C22 | 1 | 2 | yes | — |
| 36 | #10622292 | C22 | 1 | 2 | yes | — |
| 37 | C11×#334 | C22 | 1 | 1 | yes | characteristic |
| 38 | C11×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 39 | C11×D4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 40 | C82×C11 | C22 | 1 | 1 | yes | characteristic |
| 41 | #10622124 | C22 | 1 | 2 | yes | — |
| 42 | #10622119 | C22 | 1 | 2 | yes | — |
| 43 | #10622096 | C22 | 1 | 1 | yes | characteristic |
| 44 | #10622094 | C22 | 1 | 2 | yes | — |
| 45 | C2×C11×SD16 | D4 | 1 | 1 | yes | characteristic |
| 46 | C22×C8×C11 | — | 2 | 1 | no | — |
| 47 | C4×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 48 | C4×D4×C11 | C23 | 1 | 1 | yes | characteristic |
| 49 | Q8×Dic11 | — | 2 | 2 | no | — |
| 50 | C2×#4326 | — | 2 | 2 | no | — |
| 51 | #66989 | — | 2 | 2 | no | — |
| 52 | #66979 | — | 2 | 2 | no | — |
| 53 | #66977 | — | 2 | 2 | no | — |
| 54 | C2×Dic44 | D4 | 1 | 1 | yes | characteristic |
| 55 | #66941 | — | 2 | 2 | no | — |
| 56 | #66941 | — | 4 | 2 | no | — |
| 57 | #66940 | — | 2 | 2 | no | — |
| 58 | #66932 | — | 4 | 2 | no | — |
| 59 | #66922 | — | 2 | 2 | no | — |
| 60 | #66922 | C23 | 1 | 2 | yes | — |
| 61 | #66922 | C23 | 1 | 2 | yes | — |
| 62 | C4×Dic22 | — | 2 | 2 | no | — |
| 63 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 64 | C11×#106 | D4 | 1 | 1 | yes | characteristic |
| 65 | C11×C4⋊C8 | — | 2 | 1 | no | — |
| 66 | C11×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 67 | C11×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 68 | C11×#103 | D4 | 1 | 1 | yes | characteristic |
| 69 | C11×#102 | D4 | 1 | 1 | yes | characteristic |
| 70 | C11×C22⋊C8 | — | 2 | 1 | no | — |
| 71 | C4×C8×C11 | — | 2 | 1 | no | — |
| 72 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 73 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 74 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 75 | #66896 | — | 2 | 2 | no | — |
| 76 | #66882 | — | 2 | 1 | no | — |
| 77 | #66882 | — | 2 | 1 | no | — |
| 78 | #66882 | — | 2 | 1 | no | — |
| 79 | #66882 | — | 2 | 1 | no | — |
| 80 | #66882 | — | 2 | 2 | no | — |
| 81 | #66882 | D4 | 1 | 1 | yes | characteristic |
| 82 | #66881 | — | 2 | 2 | no | — |
| 83 | #66880 | — | 2 | 2 | no | — |
| 84 | #66880 | — | 2 | 2 | no | — |
| 85 | #66880 | — | 2 | 2 | no | — |
| 86 | #66880 | — | 2 | 2 | no | — |
| 87 | #66880 | — | 4 | 2 | no | — |
| 88 | #66880 | D4 | 1 | 2 | yes | — |
| 89 | #66879 | — | 2 | 2 | no | — |
| 90 | Dic11⋊C8 | — | 2 | 2 | no | — |
| 91 | #66874 | — | 2 | 2 | no | — |
| 92 | #66872 | — | 2 | 2 | no | — |
| 93 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 94 | #19940 | — | 11 | 1 | no | maximal, Sylow |
| 95 | C2×Q8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | C2×D4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C22×C4×C11 | — | 2 | 1 | no | — |
| 98 | C2×Dic22 | — | 2 | 2 | no | — |
| 99 | C2×Dic22 | — | 2 | 2 | no | — |
| 100 | C2×Dic22 | — | 4 | 2 | no | — |
| 101 | C2×Dic22 | C2×D4 | 1 | 2 | yes | — |
| 102 | C11×SD16 | — | 2 | 2 | no | — |
| 103 | C2×C8×C11 | — | 2 | 1 | no | — |
| 104 | C2×C8×C11 | — | 2 | 1 | no | — |
| 105 | C2×C8×C11 | — | 2 | 1 | no | — |
| 106 | C2×C8×C11 | — | 4 | 2 | no | — |
| 107 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 108 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 109 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 110 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 111 | C11×C4⋊C4 | — | 2 | 1 | no | — |
| 112 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 114 | C11×C22⋊C4 | — | 2 | 1 | no | — |
| 115 | C42×C11 | — | 2 | 1 | no | — |
| 116 | C42×C11 | C24 | 1 | 1 | yes | characteristic |
| 117 | C22⋊Dic11 | — | 4 | 2 | no | — |
| 118 | C22⋊Dic11 | — | 4 | 2 | no | — |
| 119 | #4326 | — | 4 | 4 | no | — |
| 120 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 121 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 122 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 123 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 124 | C4⋊Dic11 | — | 4 | 2 | no | — |
| 125 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 126 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 127 | Dic11⋊C4 | — | 4 | 2 | no | — |
| 128 | Dic11⋊C4 | — | 4 | 2 | no | — |
| 129 | C4×Dic11 | — | 2 | 2 | no | — |
| 130 | C4×Dic11 | — | 4 | 2 | no | — |
| 131 | C4×Dic11 | — | 4 | 2 | no | — |
| 132 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 133 | Dic44 | — | 2 | 2 | no | — |
| 134 | Q8×Q16 | — | 11 | 1 | no | — |
| 135 | #3369 | — | 11 | 2 | no | — |
| 136 | #3342 | — | 11 | 1 | no | — |
| 137 | #1710 | — | 11 | 1 | no | — |
| 138 | #1704 | — | 11 | 2 | no | — |
| 139 | #1675 | — | 11 | 1 | no | — |
| 140 | #1674 | — | 11 | 1 | no | — |
| 141 | #1645 | — | 11 | 2 | no | — |
| 142 | #1638 | — | 11 | 2 | no | — |
| 143 | #1591 | — | 11 | 1 | no | — |
| 144 | C8×SD16 | D11 | 1 | 1 | yes | characteristic |
| 145 | C23×C11 | — | 2 | 1 | no | — |
| 146 | Q8×C11 | — | 2 | 1 | no | — |
| 147 | Q8×C11 | #135 | 1 | 2 | yes | — |
| 148 | D4×C11 | — | 2 | 1 | no | — |
| 149 | D4×C11 | — | 2 | 1 | no | — |
| 150 | C2×C4×C11 | — | 2 | 1 | no | — |
| 151 | C2×C4×C11 | — | 2 | 1 | no | — |
| 152 | C2×C4×C11 | — | 2 | 1 | no | — |
| 153 | C2×C4×C11 | — | 4 | 1 | no | — |
| 154 | C2×C4×C11 | — | 4 | 1 | no | — |
| 155 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×C4×C11 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 158 | C2×Dic11 | — | 2 | 2 | no | — |
| 159 | C2×Dic11 | — | 2 | 2 | no | — |
| 160 | C2×Dic11 | — | 4 | 2 | no | — |
| 161 | C2×Dic11 | — | 4 | 2 | no | — |
| 162 | Dic22 | — | 2 | 2 | no | — |
| 163 | Dic22 | — | 2 | 2 | no | — |
| 164 | Dic22 | — | 4 | 2 | no | — |
| 165 | Dic22 | — | 4 | 2 | no | — |
| 166 | Dic22 | — | 8 | 2 | no | — |
| 167 | Dic22 | — | 16 | 2 | no | — |
| 168 | C8×C11 | — | 2 | 1 | no | — |
| 169 | C8×C11 | — | 2 | 1 | no | — |
| 170 | C8×C11 | — | 2 | 1 | no | — |
| 171 | C8×C11 | — | 4 | 1 | no | — |
| 172 | C8×C11 | — | 4 | 1 | no | — |
| 173 | C8×C11 | — | 4 | 1 | no | — |
| 174 | C8×C11 | #137 | 1 | 2 | yes | — |
| 175 | C11⋊C8 | — | 4 | 2 | no | — |
| 176 | Q82 | — | 11 | 2 | no | — |
| 177 | #556 | — | 11 | 2 | no | — |
| 178 | #500 | — | 11 | 1 | no | — |
| 179 | #500 | — | 11 | 1 | no | — |
| 180 | #500 | — | 22 | 1 | no | — |
| 181 | #489 | — | 22 | 2 | no | — |
| 182 | #487 | — | 11 | 2 | no | — |
| 183 | #487 | — | 11 | 2 | no | — |
| 184 | #485 | — | 22 | 2 | no | — |
| 185 | #477 | — | 11 | 2 | no | — |
| 186 | #477 | — | 22 | 2 | no | — |
| 187 | #476 | — | 11 | 2 | no | — |
| 188 | #475 | — | 11 | 2 | no | — |
| 189 | #475 | — | 22 | 2 | no | — |
| 190 | #467 | — | 22 | 1 | no | — |
| 191 | #464 | — | 22 | 2 | no | — |
| 192 | #462 | — | 11 | 2 | no | — |
| 193 | #446 | — | 11 | 2 | no | — |
| 194 | C8×Q8 | C2×D11 | 1 | 1 | yes | characteristic |
| 195 | #441 | — | 22 | 2 | no | — |
| 196 | C4×Q16 | — | 11 | 1 | no | — |
| 197 | C4×Q16 | — | 22 | 1 | no | — |
| 198 | C4×SD16 | C2×D11 | 1 | 1 | yes | characteristic |
| 199 | C8×D4 | C2×D11 | 1 | 1 | yes | characteristic |
| 200 | #427 | — | 22 | 1 | no | — |
| 201 | #335 | — | 11 | 1 | no | — |
| 202 | #334 | C2×D11 | 1 | 1 | yes | characteristic |
| 203 | #333 | — | 11 | 2 | no | — |
| 204 | #332 | — | 11 | 2 | no | — |
| 205 | Q8⋊C8 | — | 11 | 2 | no | — |
| 206 | Q8⋊C8 | C2×D11 | 1 | 1 | yes | characteristic |
| 207 | D4⋊C8 | C2×D11 | 1 | 1 | yes | characteristic |
| 208 | C82 | C2×D11 | 1 | 1 | yes | characteristic |
| 209 | C22×C11 | — | 4 | 1 | no | — |
| 210 | C22×C11 | — | 4 | 1 | no | — |
| 211 | C22×C11 | — | 4 | 1 | no | — |
| 212 | C22×C11 | D42 | 1 | 1 | yes | characteristic |
| 213 | C4×C11 | — | 2 | 2 | no | — |
| 214 | C4×C11 | — | 2 | 1 | no | — |
| 215 | C4×C11 | — | 4 | 1 | no | — |
| 216 | C4×C11 | — | 4 | 1 | no | — |
| 217 | C4×C11 | C2×#135 | 1 | 1 | yes | characteristic |
| 218 | C4×C11 | C2×#137 | 1 | 1 | yes | characteristic |
| 219 | C4×C11 | #578 | 1 | 1 | yes | characteristic |
| 220 | C4×C11 | #578 | 1 | 1 | yes | characteristic |
| 221 | Dic11 | — | 4 | 2 | no | — |
| 222 | Dic11 | — | 4 | 2 | no | — |
| 223 | Dic11 | — | 8 | 2 | no | — |
| 224 | Dic11 | — | 8 | 2 | no | — |
| 225 | C2×Q16 | — | 11 | 1 | no | — |
| 226 | C2×Q16 | — | 22 | 2 | no | — |
| 227 | C2×SD16 | D44 | 1 | 1 | yes | characteristic |
| 228 | C22×C8 | — | 2 | 1 | no | — |
| 229 | C4⋊Q8 | — | 11 | 2 | no | — |
| 230 | C4⋊Q8 | — | 11 | 2 | no | — |
| 231 | C4⋊Q8 | — | 22 | 2 | no | — |
| 232 | C4⋊Q8 | — | 22 | 2 | no | — |
| 233 | C4⋊Q8 | — | 44 | 2 | no | — |
| 234 | #126 | — | 44 | 2 | no | — |
| 235 | #124 | — | 22 | 2 | no | — |
| 236 | C22⋊Q8 | — | 22 | 2 | no | — |
| 237 | C4×Q8 | — | 11 | 2 | no | — |
| 238 | C4×Q8 | — | 22 | 2 | no | — |
| 239 | C4×Q8 | — | 22 | 2 | no | — |
| 240 | C4×Q8 | — | 22 | 2 | no | — |
| 241 | C4×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 242 | C4×D4 | C22×D11 | 1 | 1 | yes | characteristic |
| 243 | #117 | — | 22 | 2 | no | — |
| 244 | #107 | — | 11 | 1 | no | — |
| 245 | #107 | — | 22 | 2 | no | — |
| 246 | #107 | — | 22 | 1 | no | — |
| 247 | #107 | — | 22 | 1 | no | — |
| 248 | #107 | — | 22 | 1 | no | — |
| 249 | #107 | — | 22 | 1 | no | — |
| 250 | #106 | — | 22 | 2 | no | — |
| 251 | #106 | — | 22 | 2 | no | — |
| 252 | #106 | D44 | 1 | 1 | yes | characteristic |
| 253 | C4⋊C8 | — | 2 | 1 | no | — |
| 254 | C4⋊C8 | — | 11 | 2 | no | — |
| 255 | C4⋊C8 | — | 22 | 2 | no | — |
| 256 | C4⋊C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 257 | C4⋊C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 258 | #103 | — | 11 | 2 | no | — |
| 259 | #103 | — | 22 | 2 | no | — |
| 260 | #103 | — | 22 | 2 | no | — |
| 261 | #103 | — | 22 | 2 | no | — |
| 262 | #103 | — | 22 | 2 | no | — |
| 263 | #103 | — | 22 | 2 | no | — |
| 264 | #103 | — | 44 | 2 | no | — |
| 265 | #103 | D44 | 1 | 1 | yes | characteristic |
| 266 | #102 | — | 22 | 2 | no | — |
| 267 | #102 | D44 | 1 | 1 | yes | characteristic |
| 268 | C22⋊C8 | — | 2 | 1 | no | — |
| 269 | #97 | — | 22 | 2 | no | — |
| 270 | C4×C8 | — | 2 | 1 | no | — |
| 271 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 272 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 273 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 274 | C2×C11 | — | 8 | 1 | no | — |
| 275 | C2×C11 | #3276 | 1 | 1 | yes | characteristic |
| 276 | C2×C11 | #3285 | 1 | 1 | yes | characteristic |
| 277 | C2×C11 | #3290 | 1 | 1 | yes | characteristic |
| 278 | C2×Q8 | — | 11 | 2 | no | — |
| 279 | C2×Q8 | — | 22 | 2 | no | — |
| 280 | C2×Q8 | — | 22 | 2 | no | — |
| 281 | C2×Q8 | — | 44 | 2 | no | — |
| 282 | C2×Q8 | C2×D44 | 1 | 1 | yes | characteristic |
| 283 | C2×D4 | C2×D44 | 1 | 1 | yes | characteristic |
| 284 | C22×C4 | — | 2 | 1 | no | — |
| 285 | Q16 | — | 22 | 2 | no | — |
| 286 | Q16 | — | 44 | 4 | no | — |
| 287 | SD16 | — | 2 | 2 | no | — |
| 288 | C2×C8 | — | 2 | 1 | no | — |
| 289 | C2×C8 | — | 2 | 1 | no | — |
| 290 | C2×C8 | — | 2 | 1 | no | — |
| 291 | C2×C8 | — | 4 | 2 | no | — |
| 292 | C2×C8 | — | 22 | 2 | no | — |
| 293 | C2×C8 | C2×D44 | 1 | 1 | yes | characteristic |
| 294 | C2×C8 | C2×D44 | 1 | 1 | yes | characteristic |
| 295 | C2×C8 | D4×D11 | 1 | 1 | yes | characteristic |
| 296 | C2×C8 | D4×D11 | 1 | 1 | yes | characteristic |
| 297 | C4⋊C4 | — | 2 | 1 | no | — |
| 298 | C4⋊C4 | — | 11 | 2 | no | — |
| 299 | C4⋊C4 | — | 22 | 2 | no | — |
| 300 | C4⋊C4 | — | 22 | 2 | no | — |
| 301 | C4⋊C4 | — | 22 | 2 | no | — |
| 302 | C4⋊C4 | — | 22 | 2 | no | — |
| 303 | C4⋊C4 | — | 22 | 2 | no | — |
| 304 | C4⋊C4 | — | 44 | 2 | no | — |
| 305 | C4⋊C4 | — | 44 | 2 | no | — |
| 306 | C4⋊C4 | — | 44 | 2 | no | — |
| 307 | C4⋊C4 | C2×D44 | 1 | 1 | yes | characteristic |
| 308 | C4⋊C4 | C2×D44 | 1 | 1 | yes | characteristic |
| 309 | C22⋊C4 | — | 2 | 1 | no | — |
| 310 | C22⋊C4 | — | 44 | 2 | no | — |
| 311 | C22⋊C4 | — | 44 | 2 | no | — |
| 312 | C42 | — | 2 | 1 | no | — |
| 313 | C42 | — | 22 | 2 | no | — |
| 314 | C42 | — | 44 | 2 | no | — |
| 315 | C42 | — | 44 | 2 | no | — |
| 316 | C42 | C23×D11 | 1 | 1 | yes | characteristic |
| 317 | C11 | #19940 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 318 | C23 | — | 2 | 1 | no | — |
| 319 | Q8 | — | 2 | 1 | no | — |
| 320 | Q8 | — | 22 | 2 | no | — |
| 321 | Q8 | — | 22 | 2 | no | — |
| 322 | Q8 | — | 44 | 2 | no | — |
| 323 | Q8 | — | 44 | 2 | no | — |
| 324 | Q8 | — | 88 | 2 | no | — |
| 325 | Q8 | — | 176 | 2 | no | — |
| 326 | Q8 | #66957 | 1 | 2 | yes | — |
| 327 | D4 | — | 2 | 1 | no | — |
| 328 | D4 | — | 2 | 1 | no | — |
| 329 | C2×C4 | — | 2 | 1 | no | — |
| 330 | C2×C4 | — | 2 | 1 | no | — |
| 331 | C2×C4 | — | 2 | 1 | no | — |
| 332 | C2×C4 | — | 4 | 1 | no | — |
| 333 | C2×C4 | — | 4 | 1 | no | — |
| 334 | C2×C4 | — | 22 | 2 | no | — |
| 335 | C2×C4 | — | 22 | 2 | no | — |
| 336 | C2×C4 | — | 44 | 2 | no | — |
| 337 | C2×C4 | — | 44 | 2 | no | — |
| 338 | C2×C4 | C22×D44 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 340 | C2×C4 | #67042 | 1 | 1 | yes | characteristic |
| 341 | C8 | — | 2 | 1 | no | — |
| 342 | C8 | — | 2 | 1 | no | — |
| 343 | C8 | — | 2 | 1 | no | — |
| 344 | C8 | — | 4 | 1 | no | — |
| 345 | C8 | — | 4 | 1 | no | — |
| 346 | C8 | — | 4 | 1 | no | — |
| 347 | C8 | — | 44 | 2 | no | — |
| 348 | C8 | #66968 | 1 | 2 | yes | — |
| 349 | C22 | — | 4 | 1 | no | — |
| 350 | C22 | — | 4 | 1 | no | — |
| 351 | C22 | — | 4 | 1 | no | — |
| 352 | C22 | D4×D44 | 1 | 1 | yes | characteristic |
| 353 | C4 | — | 2 | 2 | no | — |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 4 | 1 | no | — |
| 356 | C4 | — | 4 | 1 | no | — |
| 357 | C4 | — | 44 | 2 | no | — |
| 358 | C4 | — | 44 | 2 | no | — |
| 359 | C4 | — | 88 | 2 | no | — |
| 360 | C4 | — | 88 | 2 | no | — |
| 361 | C4 | C2×#66957 | 1 | 1 | yes | characteristic |
| 362 | C4 | #10623284 | 1 | 1 | yes | characteristic |
| 363 | C4 | C2×#66968 | 1 | 1 | yes | characteristic |
| 364 | C4 | #10623302 | 1 | 1 | yes | characteristic |
| 365 | C2 | — | 8 | 1 | no | — |
| 366 | C2 | #13080263 | 1 | 1 | yes | characteristic |
| 367 | C2 | #13080359 | 1 | 1 | yes | characteristic |
| 368 | C2 | #13080403 | 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