← #14736998
Subgroups — #14736998
Order 2816.
678 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 | #13079932 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #13077550 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13068085 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13067983 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13067973 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | C2×#10622096 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13067293 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C11×#3147 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | C2×C11×#135 | — | 2 | 1 | no | — |
| 10 | C2×C11×#135 | — | 2 | 1 | no | — |
| 11 | C11×#532 | C22 | 1 | 2 | yes | — |
| 12 | #10623001 | C22 | 1 | 1 | yes | characteristic |
| 13 | C11×#495 | — | 2 | 1 | no | — |
| 14 | C11×#495 | — | 2 | 1 | no | — |
| 15 | C11×#494 | C22 | 1 | 1 | yes | characteristic |
| 16 | C11×#493 | C22 | 1 | 1 | yes | characteristic |
| 17 | C11×#492 | C22 | 1 | 2 | yes | — |
| 18 | C2×C4×C8×C11 | C22 | 1 | 1 | yes | characteristic |
| 19 | #10622715 | — | 2 | 1 | no | — |
| 20 | #10622714 | — | 2 | 1 | no | — |
| 21 | #10622707 | C22 | 1 | 4 | yes | — |
| 22 | #10622688 | C22 | 1 | 4 | yes | — |
| 23 | #10622654 | — | 2 | 4 | no | — |
| 24 | #10622632 | — | 2 | 2 | no | — |
| 25 | #10622621 | — | 2 | 2 | no | — |
| 26 | #10622537 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×C4⋊(C11⋊C8) | C22 | 1 | 2 | yes | — |
| 28 | #10622292 | — | 2 | 1 | no | — |
| 29 | #10622292 | C22 | 1 | 2 | yes | — |
| 30 | C8×Dic22 | — | 2 | 1 | no | — |
| 31 | C8×Dic22 | C22 | 1 | 2 | yes | — |
| 32 | #10622185 | C22 | 1 | 4 | yes | — |
| 33 | #10622182 | C22 | 1 | 4 | yes | — |
| 34 | #10622096 | C22 | 1 | 2 | yes | — |
| 35 | #10622096 | C22 | 1 | 2 | yes | — |
| 36 | C2×C11×#41 | — | 2 | 2 | no | — |
| 37 | C11×#135 | — | 4 | 4 | no | — |
| 38 | C11×#135 | — | 4 | 4 | no | — |
| 39 | C2×C11×Q16 | — | 2 | 1 | no | — |
| 40 | C2×C11×Q16 | — | 2 | 1 | no | — |
| 41 | C2×C11×SD16 | — | 2 | 2 | no | — |
| 42 | C2×C11×SD16 | — | 2 | 2 | no | — |
| 43 | C2×C11×D8 | — | 2 | 1 | no | — |
| 44 | C2×C11×D8 | — | 2 | 1 | no | — |
| 45 | C22×C8×C11 | D4 | 1 | 1 | yes | characteristic |
| 46 | C22×C8×C11 | D4 | 1 | 1 | yes | characteristic |
| 47 | C11×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 48 | C11×#127 | C23 | 1 | 2 | yes | — |
| 49 | C11×#124 | — | 2 | 2 | no | — |
| 50 | C11×#121 | — | 2 | 2 | no | — |
| 51 | C11×#121 | — | 2 | 2 | no | — |
| 52 | C4×D4×C11 | — | 2 | 2 | no | — |
| 53 | C4×D4×C11 | — | 2 | 2 | no | — |
| 54 | C2×C42×C11 | C23 | 1 | 1 | yes | characteristic |
| 55 | C2×#4324 | — | 2 | 4 | no | — |
| 56 | #66979 | — | 2 | 1 | no | — |
| 57 | #66977 | — | 2 | 1 | no | — |
| 58 | #66977 | D4 | 1 | 2 | yes | — |
| 59 | C2×#4318 | — | 2 | 1 | no | — |
| 60 | C22×C11⋊C8 | — | 2 | 2 | no | — |
| 61 | #66923 | — | 2 | 1 | no | — |
| 62 | #66922 | D4 | 1 | 1 | yes | characteristic |
| 63 | #66922 | D4 | 1 | 1 | yes | characteristic |
| 64 | C4×Dic22 | — | 2 | 1 | no | — |
| 65 | C4×Dic22 | C23 | 1 | 2 | yes | — |
| 66 | C4×C8×C11 | D4 | 1 | 1 | yes | characteristic |
| 67 | C4×C8×C11 | D4 | 1 | 1 | yes | characteristic |
| 68 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 69 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 70 | #66896 | — | 2 | 4 | no | — |
| 71 | #66879 | — | 2 | 2 | no | — |
| 72 | Dic11⋊C8 | — | 2 | 2 | no | — |
| 73 | Dic11⋊C8 | — | 2 | 2 | no | — |
| 74 | C8×Dic11 | — | 2 | 2 | no | — |
| 75 | #66874 | — | 2 | 4 | no | — |
| 76 | #66872 | — | 2 | 4 | no | — |
| 77 | C4⋊(C11⋊C8) | — | 2 | 2 | no | — |
| 78 | C4⋊(C11⋊C8) | — | 2 | 1 | no | — |
| 79 | C4⋊(C11⋊C8) | C23 | 1 | 4 | yes | — |
| 80 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 81 | #19206 | — | 11 | 1 | no | maximal, Sylow |
| 82 | C11×#41 | — | 4 | 4 | no | — |
| 83 | C11×#41 | — | 4 | 4 | no | — |
| 84 | C2×Q8×C11 | — | 2 | 2 | no | — |
| 85 | C2×D4×C11 | — | 2 | 2 | no | — |
| 86 | C2×D4×C11 | — | 2 | 2 | no | — |
| 87 | C2×D4×C11 | — | 2 | 2 | no | — |
| 88 | C2×D4×C11 | — | 4 | 2 | no | — |
| 89 | C22×C4×C11 | — | 4 | 2 | no | — |
| 90 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 91 | C22×C4×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 92 | C22×C4×C11 | #41 | 1 | 1 | yes | characteristic |
| 93 | C2×Dic22 | — | 2 | 1 | no | — |
| 94 | C2×Dic22 | C2×D4 | 1 | 2 | yes | — |
| 95 | C11×Q16 | — | 4 | 2 | no | — |
| 96 | C11×Q16 | — | 4 | 2 | no | — |
| 97 | C11×SD16 | — | 4 | 4 | no | — |
| 98 | C11×SD16 | — | 4 | 4 | no | — |
| 99 | C11×D8 | — | 4 | 2 | no | — |
| 100 | C11×D8 | — | 4 | 2 | no | — |
| 101 | C2×C8×C11 | — | 2 | 2 | no | — |
| 102 | C2×C8×C11 | SD16 | 1 | 4 | yes | complemented |
| 103 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 104 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 106 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 107 | C11×C4⋊C4 | — | 2 | 2 | no | — |
| 108 | C11×C4⋊C4 | — | 2 | 2 | no | — |
| 109 | C11×C22⋊C4 | — | 4 | 2 | no | — |
| 110 | C11×C22⋊C4 | — | 4 | 2 | no | — |
| 111 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 112 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 113 | C42×C11 | #41 | 1 | 1 | yes | characteristic |
| 114 | C42×C11 | C24 | 1 | 1 | yes | characteristic |
| 115 | C22⋊Dic11 | — | 2 | 2 | no | — |
| 116 | #4324 | — | 8 | 4 | no | — |
| 117 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 118 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 119 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 120 | C4⋊Dic11 | C2×D4 | 1 | 2 | yes | — |
| 121 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 122 | Dic11⋊C4 | — | 2 | 2 | no | — |
| 123 | C4×Dic11 | — | 2 | 2 | no | — |
| 124 | #4318 | — | 4 | 2 | no | — |
| 125 | C2×C11⋊C8 | — | 2 | 4 | no | — |
| 126 | C2×C11⋊C8 | — | 2 | 2 | no | — |
| 127 | C2×C11⋊C8 | — | 8 | 2 | no | — |
| 128 | #3246 | — | 11 | 2 | no | — |
| 129 | #3147 | D11 | 1 | 1 | yes | characteristic |
| 130 | #2960 | — | 11 | 1 | no | — |
| 131 | #1686 | — | 11 | 4 | no | — |
| 132 | #1670 | — | 11 | 2 | no | — |
| 133 | #1668 | — | 11 | 2 | no | — |
| 134 | C2×#335 | — | 11 | 1 | no | — |
| 135 | #1547 | — | 11 | 2 | no | — |
| 136 | C23×C11 | — | 4 | 2 | no | — |
| 137 | C23×C11 | #121 | 1 | 1 | yes | characteristic |
| 138 | Q8×C11 | — | 4 | 2 | no | — |
| 139 | Q8×C11 | — | 4 | 2 | no | — |
| 140 | D4×C11 | — | 4 | 2 | no | — |
| 141 | D4×C11 | — | 4 | 2 | no | — |
| 142 | D4×C11 | — | 4 | 2 | no | — |
| 143 | D4×C11 | — | 4 | 2 | no | — |
| 144 | D4×C11 | — | 8 | 2 | no | — |
| 145 | D4×C11 | — | 8 | 4 | no | — |
| 146 | C2×C4×C11 | — | 2 | 1 | no | — |
| 147 | C2×C4×C11 | — | 2 | 1 | no | — |
| 148 | C2×C4×C11 | — | 4 | 1 | no | — |
| 149 | C2×C4×C11 | — | 4 | 2 | no | — |
| 150 | C2×C4×C11 | — | 8 | 4 | no | — |
| 151 | C2×C4×C11 | #121 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C11 | #121 | 1 | 1 | yes | characteristic |
| 153 | C2×C4×C11 | #121 | 1 | 1 | yes | characteristic |
| 154 | C2×C4×C11 | C2×SD16 | 1 | 2 | yes | — |
| 155 | C2×C4×C11 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 156 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 157 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 158 | C2×C4×C11 | C2×#41 | 1 | 1 | yes | characteristic |
| 159 | C2×Dic11 | — | 2 | 2 | no | — |
| 160 | C2×Dic11 | — | 2 | 2 | no | — |
| 161 | Dic22 | — | 2 | 2 | no | — |
| 162 | Dic22 | — | 2 | 2 | no | — |
| 163 | Dic22 | — | 4 | 2 | no | — |
| 164 | C8×C11 | — | 2 | 1 | no | — |
| 165 | C8×C11 | — | 2 | 1 | no | — |
| 166 | C8×C11 | C2×SD16 | 1 | 2 | yes | — |
| 167 | C8×C11 | C2×SD16 | 1 | 2 | yes | — |
| 168 | C11⋊C8 | — | 4 | 2 | no | — |
| 169 | C11⋊C8 | — | 4 | 4 | no | — |
| 170 | C2×#135 | — | 2 | 1 | no | — |
| 171 | C2×#135 | — | 2 | 1 | no | — |
| 172 | #533 | — | 11 | 1 | no | — |
| 173 | #532 | C2×D11 | 1 | 2 | yes | — |
| 174 | #495 | — | 2 | 1 | no | — |
| 175 | #495 | — | 2 | 1 | no | — |
| 176 | #494 | C2×D11 | 1 | 1 | yes | characteristic |
| 177 | #493 | C2×D11 | 1 | 1 | yes | characteristic |
| 178 | #492 | C2×D11 | 1 | 2 | yes | — |
| 179 | #476 | — | 22 | 2 | no | — |
| 180 | #475 | — | 11 | 4 | no | — |
| 181 | #465 | — | 22 | 4 | no | — |
| 182 | #461 | — | 22 | 2 | no | — |
| 183 | #460 | — | 11 | 4 | no | — |
| 184 | #446 | — | 11 | 2 | no | — |
| 185 | #446 | — | 22 | 1 | no | — |
| 186 | C8×Q8 | — | 11 | 2 | no | — |
| 187 | C8×Q8 | — | 22 | 1 | no | — |
| 188 | #424 | — | 22 | 1 | no | — |
| 189 | #423 | — | 11 | 1 | no | — |
| 190 | C2×C4⋊C8 | — | 11 | 2 | no | — |
| 191 | #405 | — | 22 | 1 | no | — |
| 192 | C2×C4×C8 | C2×D11 | 1 | 1 | yes | characteristic |
| 193 | #335 | — | 11 | 2 | no | — |
| 194 | #335 | — | 11 | 2 | no | — |
| 195 | #332 | — | 11 | 4 | no | — |
| 196 | #331 | — | 11 | 4 | no | — |
| 197 | C22×C11 | — | 2 | 1 | no | — |
| 198 | C22×C11 | — | 2 | 1 | no | — |
| 199 | C22×C11 | — | 8 | 2 | no | — |
| 200 | C22×C11 | — | 8 | 2 | no | — |
| 201 | C22×C11 | — | 8 | 2 | no | — |
| 202 | C22×C11 | #460 | 1 | 2 | yes | — |
| 203 | C22×C11 | C2×#121 | 1 | 1 | yes | characteristic |
| 204 | C4×C11 | — | 2 | 1 | no | — |
| 205 | C4×C11 | — | 2 | 1 | no | — |
| 206 | C4×C11 | — | 2 | 1 | no | — |
| 207 | C4×C11 | — | 8 | 2 | no | — |
| 208 | C4×C11 | #460 | 1 | 2 | yes | — |
| 209 | C4×C11 | C22×SD16 | 1 | 1 | yes | characteristic |
| 210 | C4×C11 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 211 | C4×C11 | #576 | 1 | 1 | yes | characteristic |
| 212 | C4×C11 | #578 | 1 | 1 | yes | characteristic |
| 213 | Dic11 | — | 4 | 2 | no | — |
| 214 | Dic11 | — | 4 | 2 | no | — |
| 215 | C2×#41 | — | 2 | 2 | no | — |
| 216 | #135 | — | 4 | 4 | no | — |
| 217 | #135 | — | 4 | 4 | no | — |
| 218 | C2×Q16 | — | 2 | 1 | no | — |
| 219 | C2×Q16 | — | 2 | 1 | no | — |
| 220 | C2×SD16 | — | 2 | 2 | no | — |
| 221 | C2×SD16 | — | 2 | 2 | no | — |
| 222 | C2×SD16 | — | 22 | 4 | no | — |
| 223 | C2×D8 | — | 2 | 1 | no | — |
| 224 | C2×D8 | — | 2 | 1 | no | — |
| 225 | C2×M16 | — | 22 | 1 | no | — |
| 226 | C22×C8 | — | 22 | 2 | no | — |
| 227 | C22×C8 | C22⋊D11 | 1 | 1 | yes | characteristic |
| 228 | C22×C8 | C22⋊D11 | 1 | 1 | yes | characteristic |
| 229 | C4⋊Q8 | — | 11 | 1 | no | — |
| 230 | C4⋊Q8 | — | 11 | 1 | no | — |
| 231 | C4⋊Q8 | C22×D11 | 1 | 2 | yes | — |
| 232 | #127 | C22×D11 | 1 | 2 | yes | — |
| 233 | #125 | — | 22 | 1 | no | — |
| 234 | #124 | — | 2 | 2 | no | — |
| 235 | C22⋊Q8 | — | 11 | 2 | no | — |
| 236 | C22⋊Q8 | — | 22 | 1 | no | — |
| 237 | #121 | — | 2 | 2 | no | — |
| 238 | #121 | — | 2 | 2 | no | — |
| 239 | C4×Q8 | — | 11 | 2 | no | — |
| 240 | C4×Q8 | — | 22 | 1 | no | — |
| 241 | C4×D4 | — | 2 | 2 | no | — |
| 242 | C4×D4 | — | 2 | 2 | no | — |
| 243 | #117 | — | 22 | 1 | no | — |
| 244 | C2×C42 | C22×D11 | 1 | 1 | yes | characteristic |
| 245 | #106 | — | 22 | 4 | no | — |
| 246 | C4⋊C8 | — | 11 | 2 | no | — |
| 247 | C4⋊C8 | — | 11 | 4 | no | — |
| 248 | C4⋊C8 | — | 22 | 2 | no | — |
| 249 | C4⋊C8 | — | 22 | 2 | no | — |
| 250 | C4⋊C8 | — | 22 | 2 | no | — |
| 251 | C4⋊C8 | — | 22 | 1 | no | — |
| 252 | #103 | — | 22 | 4 | no | — |
| 253 | #102 | — | 22 | 4 | no | — |
| 254 | #97 | — | 22 | 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 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 259 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 260 | C2×C11 | — | 2 | 2 | no | — |
| 261 | C2×C11 | — | 16 | 2 | no | — |
| 262 | C2×C11 | C2×#460 | 1 | 1 | yes | characteristic |
| 263 | C2×C11 | #3061 | 1 | 1 | yes | characteristic |
| 264 | C2×C11 | #3067 | 1 | 1 | yes | characteristic |
| 265 | #41 | — | 4 | 4 | no | — |
| 266 | #41 | — | 4 | 4 | no | — |
| 267 | C2×Q8 | — | 2 | 2 | no | — |
| 268 | C2×Q8 | — | 11 | 2 | no | — |
| 269 | C2×Q8 | — | 22 | 1 | no | — |
| 270 | C2×D4 | — | 2 | 2 | no | — |
| 271 | C2×D4 | — | 2 | 2 | no | — |
| 272 | C2×D4 | — | 2 | 2 | no | — |
| 273 | C2×D4 | — | 4 | 2 | no | — |
| 274 | C22×C4 | — | 4 | 2 | no | — |
| 275 | C22×C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 276 | C22×C4 | #4341 | 1 | 1 | yes | characteristic |
| 277 | C22×C4 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 278 | Q16 | — | 4 | 2 | no | — |
| 279 | Q16 | — | 4 | 2 | no | — |
| 280 | SD16 | — | 4 | 4 | no | — |
| 281 | SD16 | — | 4 | 4 | no | — |
| 282 | SD16 | — | 88 | 4 | no | — |
| 283 | D8 | — | 4 | 2 | no | — |
| 284 | D8 | — | 4 | 2 | no | — |
| 285 | M16 | — | 44 | 2 | no | — |
| 286 | C2×C8 | — | 2 | 2 | no | — |
| 287 | C2×C8 | — | 22 | 4 | no | — |
| 288 | C2×C8 | — | 22 | 2 | no | — |
| 289 | C2×C8 | — | 88 | 2 | no | — |
| 290 | C2×C8 | #4324 | 1 | 4 | yes | complemented |
| 291 | C2×C8 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 292 | C2×C8 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 293 | C2×C8 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 294 | C2×C8 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 295 | C4⋊C4 | — | 2 | 2 | no | — |
| 296 | C4⋊C4 | — | 2 | 2 | no | — |
| 297 | C4⋊C4 | — | 11 | 2 | no | — |
| 298 | C4⋊C4 | — | 22 | 1 | no | — |
| 299 | C4⋊C4 | — | 22 | 1 | no | — |
| 300 | C4⋊C4 | — | 22 | 2 | no | — |
| 301 | C4⋊C4 | — | 22 | 1 | no | — |
| 302 | C4⋊C4 | — | 22 | 2 | no | — |
| 303 | C22⋊C4 | — | 4 | 2 | no | — |
| 304 | C22⋊C4 | — | 4 | 2 | no | — |
| 305 | C22⋊C4 | — | 22 | 2 | no | — |
| 306 | C42 | — | 22 | 2 | no | — |
| 307 | C42 | D4×D11 | 1 | 1 | yes | characteristic |
| 308 | C42 | #4341 | 1 | 1 | yes | characteristic |
| 309 | C42 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 310 | C42 | C23×D11 | 1 | 1 | yes | characteristic |
| 311 | C11 | #19206 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 312 | C23 | — | 4 | 2 | no | — |
| 313 | C23 | #66991 | 1 | 1 | yes | characteristic |
| 314 | Q8 | — | 4 | 2 | no | — |
| 315 | Q8 | — | 4 | 2 | no | — |
| 316 | Q8 | — | 22 | 2 | no | — |
| 317 | Q8 | — | 22 | 2 | no | — |
| 318 | Q8 | — | 44 | 2 | no | — |
| 319 | D4 | — | 4 | 2 | no | — |
| 320 | D4 | — | 4 | 2 | no | — |
| 321 | D4 | — | 4 | 2 | no | — |
| 322 | D4 | — | 4 | 2 | no | — |
| 323 | D4 | — | 8 | 2 | no | — |
| 324 | D4 | — | 8 | 4 | no | — |
| 325 | C2×C4 | — | 2 | 1 | no | — |
| 326 | C2×C4 | — | 2 | 1 | no | — |
| 327 | C2×C4 | — | 4 | 1 | no | — |
| 328 | C2×C4 | — | 4 | 2 | no | — |
| 329 | C2×C4 | — | 8 | 4 | no | — |
| 330 | C2×C4 | — | 22 | 2 | no | — |
| 331 | C2×C4 | — | 22 | 2 | no | — |
| 332 | C2×C4 | #66985 | 1 | 2 | yes | — |
| 333 | C2×C4 | C2×#4324 | 1 | 2 | yes | — |
| 334 | C2×C4 | #66991 | 1 | 1 | yes | characteristic |
| 335 | C2×C4 | #66991 | 1 | 1 | yes | characteristic |
| 336 | C2×C4 | #66991 | 1 | 1 | yes | characteristic |
| 337 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 338 | C2×C4 | C2×#4341 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | C22×C22⋊D11 | 1 | 1 | yes | characteristic |
| 340 | C8 | — | 2 | 1 | no | — |
| 341 | C8 | — | 2 | 1 | no | — |
| 342 | C8 | — | 44 | 4 | no | — |
| 343 | C8 | — | 44 | 2 | no | — |
| 344 | C8 | C2×#4324 | 1 | 2 | yes | — |
| 345 | C8 | C2×#4324 | 1 | 2 | yes | — |
| 346 | C22 | — | 2 | 1 | no | — |
| 347 | C22 | — | 2 | 1 | no | — |
| 348 | C22 | — | 8 | 2 | no | — |
| 349 | C22 | — | 8 | 2 | no | — |
| 350 | C22 | — | 8 | 2 | no | — |
| 351 | C22 | #10622688 | 1 | 2 | yes | — |
| 352 | C22 | C2×#66991 | 1 | 1 | yes | characteristic |
| 353 | C4 | — | 2 | 1 | no | — |
| 354 | C4 | — | 2 | 1 | no | — |
| 355 | C4 | — | 2 | 1 | no | — |
| 356 | C4 | — | 8 | 2 | no | — |
| 357 | C4 | — | 44 | 2 | no | — |
| 358 | C4 | — | 44 | 2 | no | — |
| 359 | C4 | #10622688 | 1 | 2 | yes | — |
| 360 | C4 | #10623300 | 1 | 1 | yes | characteristic |
| 361 | C4 | #10623302 | 1 | 1 | yes | characteristic |
| 362 | C4 | C2×#66985 | 1 | 1 | yes | characteristic |
| 363 | C4 | C22×#4324 | 1 | 1 | yes | characteristic |
| 364 | C2 | — | 2 | 2 | no | — |
| 365 | C2 | — | 16 | 2 | no | — |
| 366 | C2 | C2×#10622688 | 1 | 1 | yes | characteristic |
| 367 | C2 | #13078282 | 1 | 1 | yes | characteristic |
| 368 | C2 | #13078332 | 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