← #15662075
Subgroups — #15662075
Order 2816.
7190 conjugacy classes of subgroups.
The subgroup lattice has 672 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13082728 | C2 | 1 | 8 | yes | maximal, complemented |
| 2 | #13082634 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #13082623 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13082470 | C2 | 1 | 6 | yes | maximal, complemented |
| 5 | #13082387 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13082337 | C2 | 1 | 6 | yes | maximal, complemented |
| 7 | #13082275 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13082243 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #13082236 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #13082216 | C2 | 1 | 8 | yes | maximal, complemented |
| 11 | #13082039 | C2 | 1 | 6 | yes | maximal, complemented |
| 12 | #13081913 | C2 | 1 | 6 | yes | maximal, complemented |
| 13 | #13081825 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | C2×C4×#4343 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C11×#3502 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#67040 | C22 | 1 | 2 | yes | — |
| 17 | C22×#4343 | C22 | 1 | 1 | yes | characteristic |
| 18 | Q82×C11 | C22 | 1 | 4 | yes | complemented |
| 19 | C11×#557 | C22 | 1 | 8 | yes | complemented |
| 20 | C11×#557 | C22 | 1 | 4 | yes | complemented |
| 21 | C11×#544 | C22 | 1 | 6 | yes | — |
| 22 | C11×#533 | C22 | 1 | 6 | yes | — |
| 23 | C11×#519 | C22 | 1 | 2 | yes | — |
| 24 | C2×C4×Q8×C11 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×Q8×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 26 | #10623265 | C22 | 1 | 12 | yes | complemented |
| 27 | #10623265 | C22 | 1 | 24 | yes | complemented |
| 28 | #10623264 | C22 | 1 | 24 | yes | complemented |
| 29 | #10623263 | C22 | 1 | 24 | yes | complemented |
| 30 | #10623259 | C22 | 1 | 6 | yes | complemented |
| 31 | #10623259 | C22 | 1 | 6 | yes | complemented |
| 32 | #10623257 | C22 | 1 | 12 | yes | complemented |
| 33 | #10623256 | C22 | 1 | 6 | yes | complemented |
| 34 | #10623256 | C22 | 1 | 6 | yes | complemented |
| 35 | #10623256 | C22 | 1 | 24 | yes | complemented |
| 36 | #10623229 | C22 | 1 | 24 | yes | complemented |
| 37 | #10623226 | C22 | 1 | 24 | yes | complemented |
| 38 | #10623226 | C22 | 1 | 24 | yes | complemented |
| 39 | #10623225 | C22 | 1 | 24 | yes | complemented |
| 40 | #10623222 | C22 | 1 | 12 | yes | complemented |
| 41 | #10623222 | C22 | 1 | 12 | yes | complemented |
| 42 | #10623222 | C22 | 1 | 24 | yes | complemented |
| 43 | #10623175 | C22 | 1 | 24 | yes | — |
| 44 | #10623158 | C22 | 1 | 12 | yes | — |
| 45 | #10623158 | C22 | 1 | 12 | yes | — |
| 46 | #10623155 | C22 | 1 | 4 | yes | — |
| 47 | #10623155 | C22 | 1 | 12 | yes | — |
| 48 | #10623116 | C22 | 1 | 24 | yes | complemented |
| 49 | #10623115 | C22 | 1 | 12 | yes | complemented |
| 50 | #10623111 | C22 | 1 | 12 | yes | complemented |
| 51 | #10623111 | C22 | 1 | 12 | yes | complemented |
| 52 | #10623108 | C22 | 1 | 8 | yes | — |
| 53 | #10623108 | C22 | 1 | 8 | yes | — |
| 54 | #10623108 | C22 | 1 | 4 | yes | complemented |
| 55 | #10623108 | C22 | 1 | 12 | yes | complemented |
| 56 | #10623107 | C22 | 1 | 8 | yes | — |
| 57 | #10623107 | C22 | 1 | 8 | yes | — |
| 58 | #10623107 | C22 | 1 | 8 | yes | complemented |
| 59 | Q8×D44 | C22 | 1 | 4 | yes | complemented |
| 60 | #10623105 | C22 | 1 | 8 | yes | complemented |
| 61 | C4×#4343 | C22 | 1 | 4 | yes | — |
| 62 | C4×#4343 | C22 | 1 | 4 | yes | — |
| 63 | C4×#4343 | C22 | 1 | 4 | yes | — |
| 64 | C4×#4343 | C22 | 1 | 4 | yes | — |
| 65 | C4×#4343 | C22 | 1 | 12 | yes | complemented |
| 66 | C4×#4343 | C22 | 1 | 12 | yes | complemented |
| 67 | C4×#4343 | C22 | 1 | 8 | yes | complemented |
| 68 | #10623103 | C22 | 1 | 8 | yes | complemented |
| 69 | C4×Q8×D11 | C22 | 1 | 8 | yes | complemented |
| 70 | #10623056 | C22 | 1 | 12 | yes | — |
| 71 | #10623055 | C22 | 1 | 12 | yes | — |
| 72 | #10623054 | C22 | 1 | 12 | yes | — |
| 73 | #10623053 | C22 | 1 | 12 | yes | — |
| 74 | #10623041 | C22 | 1 | 6 | yes | — |
| 75 | C2×#66946 | C22 | 1 | 3 | yes | — |
| 76 | C2×#66945 | C22 | 1 | 3 | yes | — |
| 77 | #10623008 | C22 | 1 | 6 | yes | — |
| 78 | C2×C4×D44 | C22 | 1 | 3 | yes | — |
| 79 | C2×C42×D11 | C22 | 1 | 3 | yes | — |
| 80 | C22×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 81 | #67040 | — | 2 | 16 | no | — |
| 82 | C2×#4343 | — | 2 | 8 | no | — |
| 83 | C2×#4343 | C23 | 1 | 4 | yes | — |
| 84 | C2×#4343 | C23 | 1 | 4 | yes | — |
| 85 | C2×#4343 | C23 | 1 | 8 | yes | — |
| 86 | C2×#4343 | C23 | 1 | 12 | yes | — |
| 87 | C2×#4343 | C23 | 1 | 12 | yes | — |
| 88 | C2×Q8×D11 | C23 | 1 | 8 | yes | — |
| 89 | C2×#4339 | C23 | 1 | 12 | yes | — |
| 90 | C22×D44 | C23 | 1 | 3 | yes | — |
| 91 | C22×C4×D11 | C23 | 1 | 3 | yes | — |
| 92 | C22×C4×D11 | C23 | 1 | 3 | yes | — |
| 93 | C22×C4×D11 | C23 | 1 | 3 | yes | — |
| 94 | C11×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 95 | C11×C4⋊Q8 | C23 | 1 | 6 | yes | — |
| 96 | C11×C4⋊Q8 | C23 | 1 | 24 | yes | — |
| 97 | C11×#125 | C23 | 1 | 12 | yes | — |
| 98 | C11×#125 | C23 | 1 | 24 | yes | — |
| 99 | C11×C22⋊Q8 | C23 | 1 | 4 | yes | — |
| 100 | C11×C22⋊Q8 | C23 | 1 | 12 | yes | — |
| 101 | C4×Q8×C11 | C23 | 1 | 8 | yes | — |
| 102 | C4×Q8×C11 | C23 | 1 | 8 | yes | — |
| 103 | C4×Q8×C11 | C23 | 1 | 4 | yes | — |
| 104 | C4×Q8×C11 | C23 | 1 | 4 | yes | — |
| 105 | C4×Q8×C11 | C23 | 1 | 12 | yes | — |
| 106 | C4×Q8×C11 | C23 | 1 | 12 | yes | — |
| 107 | C11×#117 | C23 | 1 | 12 | yes | — |
| 108 | C2×C11×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 109 | C2×C42×C11 | C23 | 1 | 3 | yes | — |
| 110 | #67000 | C23 | 1 | 4 | yes | — |
| 111 | #67000 | C23 | 1 | 48 | yes | — |
| 112 | #67000 | C23 | 1 | 12 | yes | — |
| 113 | #66999 | C23 | 1 | 12 | yes | — |
| 114 | #66999 | C23 | 1 | 12 | yes | — |
| 115 | Q8×Dic11 | C23 | 1 | 4 | yes | — |
| 116 | Q8×Dic11 | C23 | 1 | 12 | yes | — |
| 117 | Q8×Dic11 | C23 | 1 | 4 | yes | — |
| 118 | Q8×Dic11 | C23 | 1 | 4 | yes | — |
| 119 | #66983 | C23 | 1 | 4 | yes | — |
| 120 | #66983 | C23 | 1 | 12 | yes | — |
| 121 | C2×(C2×D11)⋊C4 | C23 | 1 | 6 | yes | — |
| 122 | C2×C4⋊Dic11 | C23 | 1 | 3 | yes | — |
| 123 | C2×C4×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×C4×Dic11 | C23 | 1 | 3 | yes | — |
| 125 | C2×C4×Dic11 | C23 | 1 | 3 | yes | — |
| 126 | #66951 | C23 | 1 | 24 | yes | — |
| 127 | #66951 | C23 | 1 | 48 | yes | — |
| 128 | #66951 | C23 | 1 | 8 | yes | — |
| 129 | #66950 | C23 | 1 | 12 | yes | — |
| 130 | #66950 | C23 | 1 | 12 | yes | — |
| 131 | #66950 | C23 | 1 | 24 | yes | — |
| 132 | #66948 | C23 | 1 | 24 | yes | — |
| 133 | #66948 | C23 | 1 | 12 | yes | — |
| 134 | #66948 | C23 | 1 | 12 | yes | — |
| 135 | #66948 | C23 | 1 | 24 | yes | — |
| 136 | #66948 | C23 | 1 | 48 | yes | — |
| 137 | #66948 | C23 | 1 | 12 | yes | — |
| 138 | #66948 | C23 | 1 | 12 | yes | — |
| 139 | #66948 | C23 | 1 | 24 | yes | — |
| 140 | #66947 | C23 | 1 | 48 | yes | — |
| 141 | #66947 | C23 | 1 | 24 | yes | — |
| 142 | #66947 | C23 | 1 | 24 | yes | — |
| 143 | #66946 | C23 | 1 | 12 | yes | — |
| 144 | #66946 | C23 | 1 | 4 | yes | — |
| 145 | #66946 | C23 | 1 | 12 | yes | — |
| 146 | #66946 | C23 | 1 | 24 | yes | — |
| 147 | #66946 | C23 | 1 | 12 | yes | — |
| 148 | #66946 | C23 | 1 | 12 | yes | — |
| 149 | #66946 | C23 | 1 | 12 | yes | — |
| 150 | #66946 | C23 | 1 | 24 | yes | — |
| 151 | #66945 | C23 | 1 | 12 | yes | — |
| 152 | #66945 | C23 | 1 | 12 | yes | — |
| 153 | #66945 | C23 | 1 | 12 | yes | — |
| 154 | #66945 | C23 | 1 | 24 | yes | — |
| 155 | #66945 | C23 | 1 | 12 | yes | — |
| 156 | #66945 | C23 | 1 | 24 | yes | — |
| 157 | #66945 | C23 | 1 | 8 | yes | — |
| 158 | C4⋊C4×D11 | C23 | 1 | 24 | yes | — |
| 159 | #66943 | C23 | 1 | 4 | yes | — |
| 160 | #66943 | C23 | 1 | 12 | yes | — |
| 161 | #66940 | C23 | 1 | 12 | yes | — |
| 162 | #66940 | C23 | 1 | 12 | yes | — |
| 163 | #66939 | C23 | 1 | 8 | yes | — |
| 164 | #66935 | C23 | 1 | 24 | yes | — |
| 165 | (C22⋊D11)⋊C4 | C23 | 1 | 8 | yes | — |
| 166 | (C22⋊D11)⋊C4 | C23 | 1 | 24 | yes | — |
| 167 | #66928 | C23 | 1 | 12 | yes | — |
| 168 | #66928 | C23 | 1 | 24 | yes | — |
| 169 | #66927 | C23 | 1 | 6 | yes | — |
| 170 | #66927 | C23 | 1 | 24 | yes | — |
| 171 | C4×D44 | C23 | 1 | 12 | yes | — |
| 172 | C4×D44 | C23 | 1 | 12 | yes | — |
| 173 | C4×D44 | C23 | 1 | 12 | yes | — |
| 174 | C4×D44 | C23 | 1 | 24 | yes | — |
| 175 | C4×D44 | C23 | 1 | 12 | yes | — |
| 176 | C4×D44 | C23 | 1 | 24 | yes | — |
| 177 | C4×D44 | C23 | 1 | 24 | yes | — |
| 178 | #66925 | C23 | 1 | 24 | yes | — |
| 179 | C42×D11 | C23 | 1 | 6 | yes | — |
| 180 | C42×D11 | C23 | 1 | 6 | yes | — |
| 181 | C42×D11 | C23 | 1 | 24 | yes | — |
| 182 | C42×D11 | C23 | 1 | 6 | yes | — |
| 183 | C42×D11 | C23 | 1 | 6 | yes | — |
| 184 | #66922 | C23 | 1 | 6 | yes | — |
| 185 | C4×Dic22 | C23 | 1 | 24 | yes | — |
| 186 | #62793 | — | 11 | 1 | no | maximal, Sylow |
| 187 | C23×D11 | C24 | 1 | 3 | yes | — |
| 188 | C2×Q8×C11 | #41 | 1 | 8 | yes | complemented |
| 189 | C2×Q8×C11 | C24 | 1 | 4 | yes | — |
| 190 | C2×Q8×C11 | C24 | 1 | 12 | yes | — |
| 191 | C2×Q8×C11 | C24 | 1 | 4 | yes | — |
| 192 | C22×C4×C11 | C24 | 1 | 1 | yes | characteristic |
| 193 | C22×C4×C11 | C24 | 1 | 3 | yes | — |
| 194 | C22×C4×C11 | C24 | 1 | 3 | yes | — |
| 195 | C2×C22⋊D11 | C24 | 1 | 8 | yes | — |
| 196 | C22×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 197 | C22×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 198 | C22×Dic11 | C24 | 1 | 3 | yes | — |
| 199 | #4343 | — | 2 | 16 | no | — |
| 200 | #4343 | — | 2 | 16 | no | — |
| 201 | #4343 | — | 2 | 32 | no | — |
| 202 | #4343 | — | 4 | 24 | no | — |
| 203 | #4343 | — | 4 | 24 | no | — |
| 204 | Q8×D11 | — | 2 | 32 | no | — |
| 205 | #4339 | — | 2 | 48 | no | — |
| 206 | C2×D44 | — | 2 | 12 | no | — |
| 207 | C2×D44 | C24 | 1 | 4 | yes | — |
| 208 | C2×D44 | C24 | 1 | 12 | yes | — |
| 209 | C2×D44 | C24 | 1 | 12 | yes | — |
| 210 | C2×D44 | C24 | 1 | 24 | yes | — |
| 211 | C2×D44 | C24 | 1 | 24 | yes | — |
| 212 | C2×D44 | C24 | 1 | 12 | yes | — |
| 213 | C2×C4×D11 | — | 2 | 12 | no | — |
| 214 | C2×C4×D11 | — | 4 | 6 | no | — |
| 215 | C2×C4×D11 | — | 4 | 6 | no | — |
| 216 | C2×C4×D11 | C24 | 1 | 8 | yes | — |
| 217 | C2×C4×D11 | C24 | 1 | 6 | yes | — |
| 218 | C2×C4×D11 | C24 | 1 | 6 | yes | — |
| 219 | C2×C4×D11 | C24 | 1 | 6 | yes | — |
| 220 | C2×C4×D11 | C24 | 1 | 6 | yes | — |
| 221 | C2×C4×D11 | C24 | 1 | 24 | yes | — |
| 222 | C2×C4×D11 | C24 | 1 | 6 | yes | — |
| 223 | C2×C4×D11 | C24 | 1 | 6 | yes | — |
| 224 | C2×C4×D11 | C24 | 1 | 24 | yes | — |
| 225 | C2×Dic22 | C24 | 1 | 12 | yes | — |
| 226 | C11×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 227 | C11×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 228 | C11×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 229 | C11×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 230 | C11×C4⋊C4 | C24 | 1 | 12 | yes | — |
| 231 | C11×C4⋊C4 | C24 | 1 | 8 | yes | — |
| 232 | C11×C4⋊C4 | C24 | 1 | 24 | yes | — |
| 233 | C11×C22⋊C4 | C24 | 1 | 8 | yes | — |
| 234 | C42×C11 | C24 | 1 | 24 | yes | — |
| 235 | C42×C11 | C24 | 1 | 6 | yes | — |
| 236 | C42×C11 | C24 | 1 | 6 | yes | — |
| 237 | (C2×D11)⋊C4 | C24 | 1 | 8 | yes | — |
| 238 | (C2×D11)⋊C4 | C24 | 1 | 24 | yes | — |
| 239 | (C2×D11)⋊C4 | C24 | 1 | 8 | yes | — |
| 240 | (C2×D11)⋊C4 | C24 | 1 | 8 | yes | — |
| 241 | (C2×D11)⋊C4 | C24 | 1 | 8 | yes | — |
| 242 | (C2×D11)⋊C4 | C24 | 1 | 24 | yes | — |
| 243 | (C2×D11)⋊C4 | C24 | 1 | 24 | yes | — |
| 244 | (C2×D11)⋊C4 | C24 | 1 | 24 | yes | — |
| 245 | (C2×D11)⋊C4 | C24 | 1 | 24 | yes | — |
| 246 | C4⋊Dic11 | C24 | 1 | 12 | yes | — |
| 247 | C4⋊Dic11 | C24 | 1 | 4 | yes | — |
| 248 | C4⋊Dic11 | C24 | 1 | 12 | yes | — |
| 249 | C4⋊Dic11 | C24 | 1 | 8 | yes | — |
| 250 | C4⋊Dic11 | C24 | 1 | 8 | yes | — |
| 251 | Dic11⋊C4 | C24 | 1 | 24 | yes | — |
| 252 | Dic11⋊C4 | C24 | 1 | 8 | yes | — |
| 253 | C4×Dic11 | C24 | 1 | 24 | yes | — |
| 254 | C4×Dic11 | C24 | 1 | 6 | yes | — |
| 255 | C4×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 256 | C4×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 257 | C4×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 258 | C4×Dic11 | C24 | 1 | 1 | yes | characteristic |
| 259 | C4×Dic11 | C24 | 1 | 8 | yes | — |
| 260 | C4×Dic11 | C24 | 1 | 6 | yes | — |
| 261 | C4×Dic11 | C24 | 1 | 6 | yes | — |
| 262 | C4×Dic11 | C24 | 1 | 6 | yes | — |
| 263 | #3524 | — | 11 | 8 | no | — |
| 264 | #3518 | — | 11 | 4 | no | — |
| 265 | #3517 | — | 11 | 4 | no | — |
| 266 | #3506 | — | 11 | 6 | no | — |
| 267 | #3502 | D11 | 1 | 1 | yes | characteristic, complemented |
| 268 | #3497 | — | 11 | 1 | no | — |
| 269 | #3493 | — | 11 | 6 | no | — |
| 270 | #3487 | — | 11 | 2 | no | — |
| 271 | #3483 | — | 11 | 4 | no | — |
| 272 | #3482 | — | 11 | 4 | no | — |
| 273 | #3480 | — | 11 | 8 | no | — |
| 274 | #3460 | — | 11 | 6 | no | — |
| 275 | #3444 | — | 11 | 6 | no | — |
| 276 | C4×2−1+4 | — | 11 | 2 | no | — |
| 277 | C2×C4×#41 | — | 11 | 1 | no | — |
| 278 | C23×C11 | C25 | 1 | 1 | yes | characteristic |
| 279 | C22×D11 | — | 2 | 6 | no | — |
| 280 | C22×D11 | — | 4 | 3 | no | — |
| 281 | C22×D11 | — | 4 | 3 | no | — |
| 282 | C22×D11 | C25 | 1 | 6 | yes | — |
| 283 | C22×D11 | C25 | 1 | 8 | yes | — |
| 284 | Q8×C11 | — | 2 | 8 | no | — |
| 285 | Q8×C11 | — | 4 | 12 | no | — |
| 286 | Q8×C11 | C2×#41 | 1 | 16 | yes | — |
| 287 | C2×C4×C11 | — | 2 | 2 | no | — |
| 288 | C2×C4×C11 | — | 4 | 3 | no | — |
| 289 | C2×C4×C11 | C2×#41 | 1 | 12 | yes | — |
| 290 | C2×C4×C11 | C25 | 1 | 8 | yes | — |
| 291 | C2×C4×C11 | C25 | 1 | 6 | yes | — |
| 292 | C2×C4×C11 | C25 | 1 | 1 | yes | characteristic |
| 293 | C2×C4×C11 | C25 | 1 | 8 | yes | — |
| 294 | C2×C4×C11 | C25 | 1 | 6 | yes | — |
| 295 | C2×C4×C11 | C25 | 1 | 1 | yes | characteristic |
| 296 | C22⋊D11 | — | 2 | 16 | no | — |
| 297 | C2×Dic11 | — | 2 | 2 | no | — |
| 298 | C2×Dic11 | — | 2 | 2 | no | — |
| 299 | C2×Dic11 | — | 4 | 3 | no | — |
| 300 | C2×Dic11 | C25 | 1 | 1 | yes | characteristic |
| 301 | C2×Dic11 | C25 | 1 | 6 | yes | — |
| 302 | C2×Dic11 | C25 | 1 | 1 | yes | characteristic |
| 303 | C2×Dic11 | C25 | 1 | 1 | yes | characteristic |
| 304 | C2×Dic11 | C25 | 1 | 8 | yes | — |
| 305 | C2×Dic11 | C25 | 1 | 1 | yes | characteristic |
| 306 | D44 | — | 2 | 24 | no | — |
| 307 | D44 | — | 2 | 24 | no | — |
| 308 | D44 | — | 2 | 8 | no | — |
| 309 | D44 | — | 4 | 12 | no | — |
| 310 | D44 | — | 4 | 24 | no | — |
| 311 | D44 | — | 4 | 24 | no | — |
| 312 | C4×D11 | — | 2 | 12 | no | — |
| 313 | C4×D11 | — | 2 | 12 | no | — |
| 314 | C4×D11 | — | 2 | 48 | no | — |
| 315 | C4×D11 | — | 2 | 12 | no | — |
| 316 | C4×D11 | — | 2 | 12 | no | — |
| 317 | C4×D11 | — | 2 | 16 | no | — |
| 318 | C4×D11 | — | 4 | 6 | no | — |
| 319 | C4×D11 | — | 4 | 6 | no | — |
| 320 | C4×D11 | — | 4 | 24 | no | — |
| 321 | Dic22 | — | 2 | 24 | no | — |
| 322 | C2×2−1+4 | — | 11 | 2 | no | — |
| 323 | C22×#41 | — | 11 | 1 | no | — |
| 324 | #559 | — | 11 | 24 | no | — |
| 325 | Q82 | C2×D11 | 1 | 4 | yes | complemented |
| 326 | #557 | C2×D11 | 1 | 8 | yes | complemented |
| 327 | #557 | C2×D11 | 1 | 4 | yes | complemented |
| 328 | #556 | — | 11 | 24 | no | — |
| 329 | #556 | — | 11 | 12 | no | — |
| 330 | #555 | — | 11 | 24 | no | — |
| 331 | #555 | — | 11 | 12 | no | — |
| 332 | #553 | — | 11 | 24 | no | — |
| 333 | #553 | — | 11 | 24 | no | — |
| 334 | #552 | — | 11 | 24 | no | — |
| 335 | #550 | — | 11 | 8 | no | — |
| 336 | #550 | — | 11 | 8 | no | — |
| 337 | #550 | — | 11 | 4 | no | — |
| 338 | #550 | — | 11 | 12 | no | — |
| 339 | D4×Q8 | — | 11 | 4 | no | — |
| 340 | #548 | — | 11 | 8 | no | — |
| 341 | #548 | — | 11 | 8 | no | — |
| 342 | #548 | — | 11 | 8 | no | — |
| 343 | #547 | — | 11 | 12 | no | — |
| 344 | #544 | C2×D11 | 1 | 6 | yes | — |
| 345 | #542 | — | 11 | 24 | no | — |
| 346 | #540 | — | 11 | 24 | no | — |
| 347 | #538 | — | 11 | 24 | no | — |
| 348 | #537 | — | 11 | 6 | no | — |
| 349 | #535 | — | 11 | 12 | no | — |
| 350 | #533 | — | 11 | 6 | no | — |
| 351 | #533 | — | 11 | 6 | no | — |
| 352 | #533 | C2×D11 | 1 | 6 | yes | — |
| 353 | #532 | — | 11 | 6 | no | — |
| 354 | #532 | — | 11 | 6 | no | — |
| 355 | #532 | — | 11 | 24 | no | — |
| 356 | #532 | — | 11 | 6 | no | — |
| 357 | #529 | — | 11 | 12 | no | — |
| 358 | #529 | — | 11 | 12 | no | — |
| 359 | #529 | — | 11 | 24 | no | — |
| 360 | #529 | — | 11 | 4 | no | — |
| 361 | #529 | — | 11 | 12 | no | — |
| 362 | #529 | — | 11 | 12 | no | — |
| 363 | #529 | — | 11 | 12 | no | — |
| 364 | #525 | — | 11 | 12 | no | — |
| 365 | #525 | — | 11 | 12 | no | — |
| 366 | #525 | — | 11 | 12 | no | — |
| 367 | #520 | — | 11 | 8 | no | — |
| 368 | #520 | — | 11 | 12 | no | — |
| 369 | #519 | — | 11 | 8 | no | — |
| 370 | #519 | C2×D11 | 1 | 2 | yes | — |
| 371 | C4×#41 | — | 11 | 4 | no | — |
| 372 | C4×#41 | — | 11 | 4 | no | — |
| 373 | C4×#41 | — | 11 | 4 | no | — |
| 374 | C4×#41 | — | 11 | 4 | no | — |
| 375 | C4×#41 | — | 11 | 8 | no | — |
| 376 | C4×#41 | — | 11 | 12 | no | — |
| 377 | C4×#41 | — | 11 | 12 | no | — |
| 378 | C4×#41 | — | 11 | 12 | no | — |
| 379 | C2×C4×Q8 | — | 11 | 1 | no | — |
| 380 | C2×C4×Q8 | — | 11 | 8 | no | — |
| 381 | C2×C4×Q8 | C2×D11 | 1 | 1 | yes | characteristic |
| 382 | C2×C4×D4 | — | 11 | 3 | no | — |
| 383 | C2×C4×D4 | — | 11 | 3 | no | — |
| 384 | C2×#117 | — | 11 | 3 | no | — |
| 385 | C22×C42 | — | 11 | 3 | no | — |
| 386 | C22×C11 | — | 2 | 1 | no | — |
| 387 | C22×C11 | — | 2 | 1 | no | — |
| 388 | C22×C11 | C22×#41 | 1 | 2 | yes | — |
| 389 | C22×C11 | C26 | 1 | 1 | yes | characteristic |
| 390 | C2×D11 | — | 2 | 6 | no | — |
| 391 | C2×D11 | — | 2 | 8 | no | — |
| 392 | C2×D11 | — | 2 | 6 | no | — |
| 393 | C2×D11 | — | 2 | 6 | no | — |
| 394 | C2×D11 | — | 2 | 8 | no | — |
| 395 | C2×D11 | — | 2 | 8 | no | — |
| 396 | C2×D11 | — | 4 | 12 | no | — |
| 397 | C4×C11 | — | 2 | 1 | no | — |
| 398 | C4×C11 | — | 2 | 6 | no | — |
| 399 | C4×C11 | — | 2 | 8 | no | — |
| 400 | C4×C11 | — | 2 | 8 | no | — |
| 401 | C4×C11 | C22×#41 | 1 | 12 | yes | — |
| 402 | C4×C11 | #585 | 1 | 2 | yes | — |
| 403 | Dic11 | — | 2 | 8 | no | — |
| 404 | Dic11 | — | 2 | 1 | no | — |
| 405 | Dic11 | — | 2 | 1 | no | — |
| 406 | Dic11 | — | 2 | 6 | no | — |
| 407 | Dic11 | — | 2 | 1 | no | — |
| 408 | Dic11 | #585 | 1 | 2 | yes | — |
| 409 | 2−1+4 | — | 22 | 16 | no | — |
| 410 | C2×#41 | — | 11 | 4 | no | — |
| 411 | C2×#41 | — | 11 | 4 | no | — |
| 412 | C2×#41 | — | 11 | 8 | no | — |
| 413 | C2×#41 | — | 11 | 12 | no | — |
| 414 | C2×#41 | — | 11 | 12 | no | — |
| 415 | C2×#41 | — | 11 | 12 | no | — |
| 416 | C2×#41 | — | 22 | 8 | no | — |
| 417 | C22×Q8 | — | 11 | 8 | no | — |
| 418 | C22×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 419 | C22×D4 | — | 11 | 3 | no | — |
| 420 | C23×C4 | — | 11 | 3 | no | — |
| 421 | C23×C4 | — | 11 | 3 | no | — |
| 422 | C23×C4 | — | 11 | 3 | no | — |
| 423 | C4⋊Q8 | — | 11 | 6 | no | — |
| 424 | C4⋊Q8 | C22×D11 | 1 | 6 | yes | — |
| 425 | C4⋊Q8 | C22×D11 | 1 | 6 | yes | — |
| 426 | C4⋊Q8 | C22×D11 | 1 | 24 | yes | — |
| 427 | #127 | — | 11 | 6 | no | — |
| 428 | #127 | — | 11 | 24 | no | — |
| 429 | #126 | — | 11 | 8 | no | — |
| 430 | #126 | — | 11 | 24 | no | — |
| 431 | #126 | — | 11 | 48 | no | — |
| 432 | #125 | — | 11 | 4 | no | — |
| 433 | #125 | — | 11 | 12 | no | — |
| 434 | #125 | C22×D11 | 1 | 12 | yes | — |
| 435 | #125 | C22×D11 | 1 | 24 | yes | — |
| 436 | #124 | — | 11 | 4 | no | — |
| 437 | #124 | — | 11 | 12 | no | — |
| 438 | #124 | — | 11 | 48 | no | — |
| 439 | #124 | — | 11 | 12 | no | — |
| 440 | #124 | — | 11 | 24 | no | — |
| 441 | #123 | — | 11 | 24 | no | — |
| 442 | #123 | — | 11 | 24 | no | — |
| 443 | #123 | — | 11 | 48 | no | — |
| 444 | #123 | — | 11 | 8 | no | — |
| 445 | C22⋊Q8 | — | 11 | 12 | no | — |
| 446 | C22⋊Q8 | — | 11 | 12 | no | — |
| 447 | C22⋊Q8 | — | 11 | 12 | no | — |
| 448 | C22⋊Q8 | — | 11 | 12 | no | — |
| 449 | C22⋊Q8 | — | 11 | 24 | no | — |
| 450 | C22⋊Q8 | C22×D11 | 1 | 4 | yes | — |
| 451 | C22⋊Q8 | C22×D11 | 1 | 12 | yes | — |
| 452 | #121 | — | 11 | 4 | no | — |
| 453 | #121 | — | 11 | 12 | no | — |
| 454 | #121 | — | 11 | 12 | no | — |
| 455 | #121 | — | 11 | 12 | no | — |
| 456 | #121 | — | 11 | 12 | no | — |
| 457 | #121 | — | 11 | 12 | no | — |
| 458 | #121 | — | 11 | 24 | no | — |
| 459 | #121 | — | 11 | 24 | no | — |
| 460 | #121 | — | 11 | 24 | no | — |
| 461 | #121 | — | 11 | 48 | no | — |
| 462 | #120 | — | 11 | 24 | no | — |
| 463 | C4×Q8 | — | 11 | 4 | no | — |
| 464 | C4×Q8 | — | 11 | 4 | no | — |
| 465 | C4×Q8 | — | 11 | 4 | no | — |
| 466 | C4×Q8 | — | 11 | 12 | no | — |
| 467 | C4×Q8 | — | 11 | 12 | no | — |
| 468 | C4×Q8 | — | 11 | 12 | no | — |
| 469 | C4×Q8 | — | 11 | 24 | no | — |
| 470 | C4×Q8 | C22×D11 | 1 | 8 | yes | — |
| 471 | C4×Q8 | C22×D11 | 1 | 4 | yes | — |
| 472 | C4×Q8 | C22×D11 | 1 | 4 | yes | — |
| 473 | C4×Q8 | C22×D11 | 1 | 8 | yes | — |
| 474 | C4×Q8 | C22×D11 | 1 | 12 | yes | — |
| 475 | C4×Q8 | C22×D11 | 1 | 12 | yes | — |
| 476 | C4×D4 | — | 11 | 12 | no | — |
| 477 | C4×D4 | — | 11 | 12 | no | — |
| 478 | C4×D4 | — | 11 | 4 | no | — |
| 479 | C4×D4 | — | 11 | 12 | no | — |
| 480 | C4×D4 | — | 11 | 12 | no | — |
| 481 | C4×D4 | — | 11 | 24 | no | — |
| 482 | C4×D4 | — | 11 | 24 | no | — |
| 483 | C4×D4 | — | 11 | 12 | no | — |
| 484 | C4×D4 | — | 11 | 8 | no | — |
| 485 | C4×D4 | — | 11 | 24 | no | — |
| 486 | C4×D4 | — | 11 | 12 | no | — |
| 487 | C4×D4 | — | 11 | 12 | no | — |
| 488 | C4×D4 | — | 11 | 24 | no | — |
| 489 | C4×D4 | — | 11 | 24 | no | — |
| 490 | C4×D4 | — | 11 | 24 | no | — |
| 491 | C4×D4 | — | 11 | 12 | no | — |
| 492 | C4×D4 | — | 11 | 12 | no | — |
| 493 | #117 | — | 11 | 12 | no | — |
| 494 | #117 | — | 11 | 12 | no | — |
| 495 | #117 | — | 11 | 8 | no | — |
| 496 | #117 | — | 11 | 24 | no | — |
| 497 | #117 | — | 11 | 12 | no | — |
| 498 | #117 | — | 11 | 12 | no | — |
| 499 | #117 | — | 11 | 24 | no | — |
| 500 | #117 | — | 11 | 24 | no | — |
| 501 | #117 | C22×D11 | 1 | 12 | yes | — |
| 502 | C2×C4⋊C4 | — | 11 | 3 | no | — |
| 503 | C2×C4⋊C4 | — | 11 | 24 | no | — |
| 504 | C2×C4⋊C4 | C22×D11 | 1 | 3 | yes | — |
| 505 | C2×C22⋊C4 | — | 11 | 6 | no | — |
| 506 | C2×C42 | — | 11 | 3 | no | — |
| 507 | C2×C42 | — | 11 | 3 | no | — |
| 508 | C2×C42 | — | 11 | 1 | no | — |
| 509 | C2×C42 | — | 11 | 24 | no | — |
| 510 | C2×C42 | — | 11 | 6 | no | — |
| 511 | C2×C42 | — | 11 | 6 | no | — |
| 512 | C2×C42 | — | 11 | 6 | no | — |
| 513 | C2×C42 | — | 11 | 6 | no | — |
| 514 | C2×C42 | C22×D11 | 1 | 3 | yes | — |
| 515 | C2×C11 | — | 2 | 2 | no | — |
| 516 | C2×C11 | C23×#41 | 1 | 1 | yes | characteristic |
| 517 | C2×C11 | C2×#585 | 1 | 1 | yes | characteristic |
| 518 | C2×C11 | C2×#585 | 1 | 1 | yes | characteristic |
| 519 | D11 | — | 4 | 8 | no | — |
| 520 | D11 | — | 4 | 6 | no | — |
| 521 | C24 | — | 11 | 3 | no | — |
| 522 | #41 | — | 22 | 16 | no | — |
| 523 | #41 | — | 22 | 16 | no | — |
| 524 | #41 | — | 22 | 32 | no | — |
| 525 | #41 | — | 22 | 48 | no | — |
| 526 | #41 | — | 44 | 24 | no | — |
| 527 | #41 | — | 44 | 24 | no | — |
| 528 | C2×Q8 | — | 11 | 12 | no | — |
| 529 | C2×Q8 | — | 22 | 32 | no | — |
| 530 | C2×Q8 | #4343 | 1 | 8 | yes | complemented |
| 531 | C2×Q8 | C23×D11 | 1 | 4 | yes | — |
| 532 | C2×Q8 | C23×D11 | 1 | 12 | yes | — |
| 533 | C2×Q8 | C23×D11 | 1 | 4 | yes | — |
| 534 | C2×D4 | — | 11 | 8 | no | — |
| 535 | C2×D4 | — | 11 | 12 | no | — |
| 536 | C2×D4 | — | 11 | 12 | no | — |
| 537 | C2×D4 | — | 11 | 4 | no | — |
| 538 | C2×D4 | — | 11 | 24 | no | — |
| 539 | C2×D4 | — | 11 | 24 | no | — |
| 540 | C2×D4 | — | 11 | 12 | no | — |
| 541 | C2×D4 | — | 22 | 12 | no | — |
| 542 | C22×C4 | — | 11 | 1 | no | — |
| 543 | C22×C4 | — | 11 | 1 | no | — |
| 544 | C22×C4 | — | 11 | 3 | no | — |
| 545 | C22×C4 | — | 11 | 8 | no | — |
| 546 | C22×C4 | — | 11 | 6 | no | — |
| 547 | C22×C4 | — | 11 | 6 | no | — |
| 548 | C22×C4 | — | 11 | 6 | no | — |
| 549 | C22×C4 | — | 11 | 6 | no | — |
| 550 | C22×C4 | — | 11 | 24 | no | — |
| 551 | C22×C4 | — | 11 | 6 | no | — |
| 552 | C22×C4 | — | 11 | 6 | no | — |
| 553 | C22×C4 | — | 11 | 24 | no | — |
| 554 | C22×C4 | — | 22 | 12 | no | — |
| 555 | C22×C4 | — | 44 | 6 | no | — |
| 556 | C22×C4 | — | 44 | 6 | no | — |
| 557 | C22×C4 | C23×D11 | 1 | 1 | yes | characteristic |
| 558 | C22×C4 | C23×D11 | 1 | 3 | yes | — |
| 559 | C22×C4 | C23×D11 | 1 | 3 | yes | — |
| 560 | C4⋊C4 | — | 11 | 12 | no | — |
| 561 | C4⋊C4 | — | 11 | 24 | no | — |
| 562 | C4⋊C4 | — | 11 | 4 | no | — |
| 563 | C4⋊C4 | — | 11 | 8 | no | — |
| 564 | C4⋊C4 | — | 11 | 8 | no | — |
| 565 | C4⋊C4 | — | 11 | 8 | no | — |
| 566 | C4⋊C4 | — | 11 | 12 | no | — |
| 567 | C4⋊C4 | C23×D11 | 1 | 12 | yes | — |
| 568 | C4⋊C4 | C23×D11 | 1 | 12 | yes | — |
| 569 | C4⋊C4 | C23×D11 | 1 | 4 | yes | — |
| 570 | C4⋊C4 | C23×D11 | 1 | 12 | yes | — |
| 571 | C4⋊C4 | C23×D11 | 1 | 8 | yes | — |
| 572 | C4⋊C4 | C23×D11 | 1 | 24 | yes | — |
| 573 | C4⋊C4 | C23×D11 | 1 | 12 | yes | — |
| 574 | C22⋊C4 | — | 11 | 24 | no | — |
| 575 | C22⋊C4 | — | 11 | 8 | no | — |
| 576 | C22⋊C4 | — | 11 | 24 | no | — |
| 577 | C22⋊C4 | — | 11 | 8 | no | — |
| 578 | C22⋊C4 | — | 11 | 8 | no | — |
| 579 | C22⋊C4 | — | 11 | 8 | no | — |
| 580 | C22⋊C4 | — | 11 | 24 | no | — |
| 581 | C22⋊C4 | — | 11 | 24 | no | — |
| 582 | C22⋊C4 | — | 11 | 24 | no | — |
| 583 | C22⋊C4 | C23×D11 | 1 | 8 | yes | — |
| 584 | C42 | — | 11 | 1 | no | — |
| 585 | C42 | — | 11 | 6 | no | — |
| 586 | C42 | — | 11 | 1 | no | — |
| 587 | C42 | — | 11 | 1 | no | — |
| 588 | C42 | — | 11 | 1 | no | — |
| 589 | C42 | — | 11 | 6 | no | — |
| 590 | C42 | — | 11 | 8 | no | — |
| 591 | C42 | — | 11 | 6 | no | — |
| 592 | C42 | — | 11 | 6 | no | — |
| 593 | C42 | — | 11 | 24 | no | — |
| 594 | C42 | C23×D11 | 1 | 6 | yes | — |
| 595 | C42 | C23×D11 | 1 | 6 | yes | — |
| 596 | C42 | C23×D11 | 1 | 24 | yes | — |
| 597 | C11 | #62793 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 598 | C23 | — | 11 | 6 | no | — |
| 599 | C23 | — | 11 | 8 | no | — |
| 600 | C23 | — | 22 | 6 | no | — |
| 601 | C23 | — | 44 | 3 | no | — |
| 602 | C23 | — | 44 | 3 | no | — |
| 603 | C23 | C24×D11 | 1 | 1 | yes | characteristic |
| 604 | Q8 | — | 2 | 8 | no | — |
| 605 | Q8 | — | 4 | 12 | no | — |
| 606 | Q8 | — | 22 | 24 | no | — |
| 607 | Q8 | C2×#4343 | 1 | 16 | yes | — |
| 608 | D4 | — | 22 | 16 | no | — |
| 609 | D4 | — | 22 | 24 | no | — |
| 610 | D4 | — | 22 | 24 | no | — |
| 611 | D4 | — | 22 | 8 | no | — |
| 612 | D4 | — | 44 | 12 | no | — |
| 613 | D4 | — | 44 | 24 | no | — |
| 614 | D4 | — | 44 | 24 | no | — |
| 615 | C2×C4 | — | 2 | 2 | no | — |
| 616 | C2×C4 | — | 4 | 3 | no | — |
| 617 | C2×C4 | — | 11 | 1 | no | — |
| 618 | C2×C4 | — | 11 | 1 | no | — |
| 619 | C2×C4 | — | 11 | 1 | no | — |
| 620 | C2×C4 | — | 11 | 1 | no | — |
| 621 | C2×C4 | — | 11 | 6 | no | — |
| 622 | C2×C4 | — | 11 | 8 | no | — |
| 623 | C2×C4 | — | 22 | 12 | no | — |
| 624 | C2×C4 | — | 22 | 16 | no | — |
| 625 | C2×C4 | — | 22 | 2 | no | — |
| 626 | C2×C4 | — | 22 | 2 | no | — |
| 627 | C2×C4 | — | 22 | 12 | no | — |
| 628 | C2×C4 | — | 22 | 12 | no | — |
| 629 | C2×C4 | — | 22 | 48 | no | — |
| 630 | C2×C4 | — | 22 | 12 | no | — |
| 631 | C2×C4 | — | 44 | 6 | no | — |
| 632 | C2×C4 | — | 44 | 6 | no | — |
| 633 | C2×C4 | — | 44 | 24 | no | — |
| 634 | C2×C4 | — | 44 | 3 | no | — |
| 635 | C2×C4 | C2×#4343 | 1 | 12 | yes | — |
| 636 | C2×C4 | C24×D11 | 1 | 8 | yes | — |
| 637 | C2×C4 | C24×D11 | 1 | 1 | yes | characteristic |
| 638 | C2×C4 | C24×D11 | 1 | 6 | yes | — |
| 639 | C2×C4 | C24×D11 | 1 | 8 | yes | — |
| 640 | C2×C4 | C24×D11 | 1 | 6 | yes | — |
| 641 | C2×C4 | C24×D11 | 1 | 1 | yes | characteristic |
| 642 | C22 | — | 2 | 1 | no | — |
| 643 | C22 | — | 2 | 1 | no | — |
| 644 | C22 | — | 22 | 8 | no | — |
| 645 | C22 | — | 22 | 6 | no | — |
| 646 | C22 | — | 22 | 6 | no | — |
| 647 | C22 | — | 22 | 8 | no | — |
| 648 | C22 | — | 22 | 6 | no | — |
| 649 | C22 | — | 22 | 8 | no | — |
| 650 | C22 | — | 44 | 12 | no | — |
| 651 | C22 | C22×#4343 | 1 | 2 | yes | — |
| 652 | C22 | C25×D11 | 1 | 1 | yes | characteristic |
| 653 | C4 | — | 2 | 6 | no | — |
| 654 | C4 | — | 2 | 8 | no | — |
| 655 | C4 | — | 2 | 1 | no | — |
| 656 | C4 | — | 2 | 8 | no | — |
| 657 | C4 | — | 11 | 2 | no | — |
| 658 | C4 | — | 22 | 1 | no | — |
| 659 | C4 | — | 22 | 1 | no | — |
| 660 | C4 | — | 22 | 8 | no | — |
| 661 | C4 | — | 22 | 1 | no | — |
| 662 | C4 | — | 22 | 6 | no | — |
| 663 | C4 | C22×#4343 | 1 | 12 | yes | — |
| 664 | C4 | #10623457 | 1 | 2 | yes | — |
| 665 | C2 | — | 2 | 2 | no | — |
| 666 | C2 | — | 44 | 6 | no | — |
| 667 | C2 | — | 44 | 8 | no | — |
| 668 | C2 | C23×#4343 | 1 | 1 | yes | characteristic |
| 669 | C2 | D11×#585 | 1 | 1 | yes | characteristic |
| 670 | C2 | C2×#10623457 | 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