← #15645830
Subgroups — #15645830
Order 2816.
1650 conjugacy classes of subgroups.
The subgroup lattice has 598 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13083111 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13081669 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #13081647 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13081452 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13081378 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #13079699 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13079688 | C2 | 1 | 2 | yes | maximal |
| 8 | #13079619 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13078916 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13078868 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #13078778 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #13077722 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C11×#3510 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | C11×#559 | C22 | 1 | 4 | yes | — |
| 15 | C11×#556 | C22 | 1 | 4 | yes | — |
| 16 | C11×#551 | — | 2 | 4 | no | — |
| 17 | C11×#542 | — | 2 | 2 | no | — |
| 18 | C11×#536 | C22 | 1 | 1 | yes | characteristic |
| 19 | C11×#535 | C22 | 1 | 1 | yes | characteristic |
| 20 | C11×#533 | C22 | 1 | 1 | yes | characteristic |
| 21 | C11×#529 | — | 2 | 2 | no | — |
| 22 | C2×C11×#124 | C22 | 1 | 1 | yes | characteristic |
| 23 | C11×#519 | C22 | 1 | 1 | yes | characteristic |
| 24 | C11×#518 | C22 | 1 | 1 | yes | characteristic |
| 25 | C4×C11×#41 | C22 | 1 | 1 | yes | characteristic |
| 26 | #10623252 | — | 2 | 2 | no | — |
| 27 | C11⋊#564 | — | 2 | 2 | no | — |
| 28 | #10623156 | — | 2 | 4 | no | — |
| 29 | #10623101 | C22 | 1 | 4 | yes | complemented |
| 30 | #10623098 | C22 | 1 | 4 | yes | complemented |
| 31 | #10623049 | C22 | 1 | 2 | yes | — |
| 32 | #10623049 | C22 | 1 | 2 | yes | — |
| 33 | #10623001 | C22 | 1 | 2 | yes | — |
| 34 | #10622852 | C22 | 1 | 4 | yes | — |
| 35 | #10622841 | C22 | 1 | 4 | yes | — |
| 36 | #10622831 | C22 | 1 | 4 | yes | — |
| 37 | #10622705 | C22 | 1 | 2 | yes | complemented |
| 38 | #10622703 | C22 | 1 | 4 | yes | complemented |
| 39 | #10622695 | C22 | 1 | 2 | yes | complemented |
| 40 | #10622689 | C22 | 1 | 2 | yes | — |
| 41 | #10622688 | C22 | 1 | 4 | yes | — |
| 42 | #10622684 | C22 | 1 | 2 | yes | — |
| 43 | #10622673 | C22 | 1 | 2 | yes | — |
| 44 | #10622673 | C22 | 1 | 4 | yes | — |
| 45 | #10622673 | C22 | 1 | 2 | yes | complemented |
| 46 | #10622669 | C22 | 1 | 2 | yes | — |
| 47 | #10622669 | C22 | 1 | 2 | yes | complemented |
| 48 | #10622668 | C22 | 1 | 4 | yes | — |
| 49 | #10622667 | C22 | 1 | 4 | yes | — |
| 50 | #10622667 | C22 | 1 | 4 | yes | — |
| 51 | #10622667 | C22 | 1 | 4 | yes | — |
| 52 | #10622667 | C22 | 1 | 4 | yes | complemented |
| 53 | #10622644 | C22 | 1 | 2 | yes | complemented |
| 54 | #10622644 | C22 | 1 | 4 | yes | complemented |
| 55 | #10622643 | C22 | 1 | 4 | yes | complemented |
| 56 | #10622643 | C22 | 1 | 4 | yes | complemented |
| 57 | C4×#4326 | C22 | 1 | 4 | yes | complemented |
| 58 | #10622637 | C22 | 1 | 4 | yes | complemented |
| 59 | #10622637 | C22 | 1 | 4 | yes | complemented |
| 60 | #10622635 | C22 | 1 | 4 | yes | complemented |
| 61 | #10622634 | C22 | 1 | 2 | yes | complemented |
| 62 | #10622632 | C22 | 1 | 4 | yes | — |
| 63 | #10622632 | C22 | 1 | 2 | yes | complemented |
| 64 | #10622631 | C22 | 1 | 4 | yes | — |
| 65 | #10622631 | C22 | 1 | 4 | yes | complemented |
| 66 | C4×#4324 | C22 | 1 | 4 | yes | — |
| 67 | #10622622 | C22 | 1 | 4 | yes | — |
| 68 | #10622621 | C22 | 1 | 2 | yes | complemented |
| 69 | #10622613 | C22 | 1 | 2 | yes | — |
| 70 | #10622613 | C22 | 1 | 2 | yes | — |
| 71 | #10622609 | C22 | 1 | 4 | yes | — |
| 72 | #10622539 | C22 | 1 | 2 | yes | — |
| 73 | C2×C11×#41 | C23 | 1 | 1 | yes | characteristic |
| 74 | C22×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×D4×C11 | C23 | 1 | 1 | yes | characteristic |
| 76 | C11×C4⋊Q8 | D4 | 1 | 2 | yes | — |
| 77 | C11×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 78 | C11×#127 | C23 | 1 | 2 | yes | — |
| 79 | C11×#126 | — | 2 | 4 | no | — |
| 80 | C11×#126 | — | 2 | 4 | no | — |
| 81 | C11×#125 | D4 | 1 | 2 | yes | — |
| 82 | C11×#124 | — | 2 | 4 | no | — |
| 83 | C11×#124 | — | 2 | 1 | no | — |
| 84 | C11×#124 | — | 2 | 1 | no | — |
| 85 | C11×#124 | C23 | 1 | 4 | yes | — |
| 86 | C11×#124 | C23 | 1 | 2 | yes | — |
| 87 | C11×#124 | C23 | 1 | 2 | yes | — |
| 88 | C11×#123 | — | 2 | 4 | no | — |
| 89 | C11×#123 | — | 2 | 4 | no | — |
| 90 | C11×#123 | — | 2 | 2 | no | — |
| 91 | C11×C22⋊Q8 | — | 2 | 4 | no | — |
| 92 | C11×C22⋊Q8 | — | 2 | 2 | no | — |
| 93 | C11×C22⋊Q8 | D4 | 1 | 4 | yes | — |
| 94 | C11×#121 | — | 2 | 2 | no | — |
| 95 | C11×#120 | — | 2 | 2 | no | — |
| 96 | C4×Q8×C11 | — | 2 | 2 | no | — |
| 97 | C4×Q8×C11 | C23 | 1 | 2 | yes | — |
| 98 | C4×Q8×C11 | C23 | 1 | 4 | yes | — |
| 99 | C4×Q8×C11 | C23 | 1 | 4 | yes | — |
| 100 | C4×D4×C11 | — | 2 | 2 | no | — |
| 101 | C4×D4×C11 | — | 2 | 2 | no | — |
| 102 | C4×D4×C11 | — | 2 | 4 | no | — |
| 103 | C4×D4×C11 | C23 | 1 | 2 | yes | — |
| 104 | C4×D4×C11 | C23 | 1 | 4 | yes | — |
| 105 | C11×#117 | — | 2 | 4 | no | — |
| 106 | C11×#117 | — | 2 | 2 | no | — |
| 107 | C11×#117 | — | 2 | 1 | no | — |
| 108 | C11×#117 | C23 | 1 | 1 | yes | characteristic |
| 109 | C11×#117 | C23 | 1 | 1 | yes | characteristic |
| 110 | C11×#117 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×C11×C22⋊C4 | — | 2 | 2 | no | — |
| 112 | C2×C11×C22⋊C4 | — | 2 | 2 | no | — |
| 113 | C2×C42×C11 | — | 2 | 1 | no | — |
| 114 | C2×C42×C11 | C23 | 1 | 1 | yes | characteristic |
| 115 | Q8×Dic11 | — | 2 | 4 | no | — |
| 116 | #66997 | — | 2 | 4 | no | — |
| 117 | C2×#4326 | C23 | 1 | 4 | yes | — |
| 118 | C2×#4326 | C23 | 1 | 4 | yes | — |
| 119 | C2×#4326 | C23 | 1 | 4 | yes | — |
| 120 | C2×#4324 | C23 | 1 | 4 | yes | — |
| 121 | C2×#4324 | C23 | 1 | 4 | yes | — |
| 122 | C2×#4324 | C23 | 1 | 4 | yes | — |
| 123 | #66979 | — | 2 | 2 | no | — |
| 124 | #66977 | — | 2 | 2 | no | — |
| 125 | #66977 | C23 | 1 | 4 | yes | — |
| 126 | #66943 | — | 2 | 4 | no | — |
| 127 | #66943 | — | 2 | 4 | no | — |
| 128 | #66943 | — | 2 | 4 | no | — |
| 129 | #66942 | — | 2 | 4 | no | — |
| 130 | #66942 | — | 2 | 4 | no | — |
| 131 | #66942 | — | 2 | 4 | no | — |
| 132 | #66942 | — | 2 | 4 | no | — |
| 133 | #66940 | — | 2 | 4 | no | — |
| 134 | #66932 | — | 2 | 4 | no | — |
| 135 | #66932 | — | 2 | 4 | no | — |
| 136 | #66923 | — | 2 | 2 | no | — |
| 137 | #66923 | C23 | 1 | 2 | yes | — |
| 138 | #66923 | C23 | 1 | 2 | yes | — |
| 139 | #66922 | C23 | 1 | 2 | yes | — |
| 140 | #66922 | C23 | 1 | 2 | yes | — |
| 141 | #66922 | C23 | 1 | 2 | yes | — |
| 142 | #66922 | C23 | 1 | 2 | yes | — |
| 143 | C4×Dic22 | — | 2 | 2 | no | — |
| 144 | C4×Dic22 | C23 | 1 | 4 | yes | — |
| 145 | C4×Dic22 | C23 | 1 | 4 | yes | — |
| 146 | C4×Dic22 | C23 | 1 | 4 | yes | — |
| 147 | #66899 | C23 | 1 | 4 | yes | — |
| 148 | #66899 | C23 | 1 | 4 | yes | — |
| 149 | #66899 | C23 | 1 | 4 | yes | — |
| 150 | #66896 | C23 | 1 | 4 | yes | — |
| 151 | #66896 | C23 | 1 | 4 | yes | — |
| 152 | #66896 | C23 | 1 | 4 | yes | — |
| 153 | C22⋊(C11⋊C8) | C23 | 1 | 4 | yes | — |
| 154 | #66874 | C23 | 1 | 4 | yes | — |
| 155 | #66874 | C23 | 1 | 4 | yes | — |
| 156 | #66872 | C23 | 1 | 4 | yes | — |
| 157 | #66871 | C23 | 1 | 4 | yes | — |
| 158 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 159 | C4⋊(C11⋊C8) | C23 | 1 | 2 | yes | — |
| 160 | C4⋊(C11⋊C8) | C23 | 1 | 4 | yes | — |
| 161 | C4⋊(C11⋊C8) | C23 | 1 | 4 | yes | — |
| 162 | #66867 | C23 | 1 | 4 | yes | — |
| 163 | #66867 | C23 | 1 | 2 | yes | — |
| 164 | #66867 | C23 | 1 | 2 | yes | — |
| 165 | C4×C11⋊C8 | C23 | 1 | 2 | yes | — |
| 166 | C4×C11⋊C8 | C23 | 1 | 2 | yes | — |
| 167 | #61943 | — | 11 | 1 | no | maximal, Sylow |
| 168 | C24×C11 | — | 2 | 1 | no | — |
| 169 | C11×#41 | — | 4 | 2 | no | — |
| 170 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 171 | C2×Q8×C11 | — | 4 | 2 | no | — |
| 172 | C2×Q8×C11 | C2×D4 | 1 | 4 | yes | — |
| 173 | C2×Q8×C11 | C24 | 1 | 2 | yes | — |
| 174 | C2×Q8×C11 | C24 | 1 | 1 | yes | characteristic |
| 175 | C2×D4×C11 | — | 2 | 1 | no | — |
| 176 | C2×D4×C11 | — | 2 | 1 | no | — |
| 177 | C2×D4×C11 | — | 2 | 4 | no | — |
| 178 | C2×D4×C11 | — | 4 | 2 | no | — |
| 179 | C2×D4×C11 | C24 | 1 | 2 | yes | — |
| 180 | C2×D4×C11 | C24 | 1 | 1 | yes | characteristic |
| 181 | C22×C4×C11 | — | 2 | 1 | no | — |
| 182 | C22×C4×C11 | — | 2 | 1 | no | — |
| 183 | C22×C4×C11 | — | 2 | 2 | no | — |
| 184 | C22×C4×C11 | — | 2 | 4 | no | — |
| 185 | C22×C4×C11 | C2×D4 | 1 | 2 | yes | — |
| 186 | C22×C4×C11 | C24 | 1 | 1 | yes | characteristic |
| 187 | C2×Dic22 | — | 2 | 2 | no | — |
| 188 | C2×Dic22 | C24 | 1 | 4 | yes | — |
| 189 | C11×C4⋊C4 | — | 2 | 2 | no | — |
| 190 | C11×C4⋊C4 | — | 2 | 4 | no | — |
| 191 | C11×C4⋊C4 | — | 2 | 4 | no | — |
| 192 | C11×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 193 | C11×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 194 | C11×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 195 | C11×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 196 | C11×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 197 | C11×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 198 | C11×C22⋊C4 | — | 2 | 1 | no | — |
| 199 | C11×C22⋊C4 | — | 2 | 4 | no | — |
| 200 | C11×C22⋊C4 | — | 2 | 4 | no | — |
| 201 | C11×C22⋊C4 | — | 2 | 4 | no | — |
| 202 | C11×C22⋊C4 | — | 2 | 2 | no | — |
| 203 | C11×C22⋊C4 | — | 2 | 4 | no | — |
| 204 | C11×C22⋊C4 | — | 2 | 4 | no | — |
| 205 | C11×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 206 | C11×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 207 | C42×C11 | — | 2 | 2 | no | — |
| 208 | C42×C11 | — | 2 | 1 | no | — |
| 209 | C42×C11 | — | 2 | 4 | no | — |
| 210 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 212 | C42×C11 | C24 | 1 | 2 | yes | — |
| 213 | C42×C11 | C24 | 1 | 2 | yes | — |
| 214 | C42×C11 | C24 | 1 | 2 | yes | — |
| 215 | C22⋊Dic11 | — | 2 | 4 | no | — |
| 216 | #4326 | — | 4 | 4 | no | — |
| 217 | #4326 | — | 4 | 4 | no | — |
| 218 | #4326 | — | 4 | 4 | no | — |
| 219 | #4324 | — | 4 | 4 | no | — |
| 220 | #4324 | — | 4 | 4 | no | — |
| 221 | #4324 | — | 4 | 4 | no | — |
| 222 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 223 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 224 | C4⋊Dic11 | — | 2 | 2 | no | — |
| 225 | C4⋊Dic11 | — | 2 | 4 | no | — |
| 226 | C4⋊Dic11 | — | 2 | 4 | no | — |
| 227 | C4⋊Dic11 | C24 | 1 | 4 | yes | — |
| 228 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 229 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 230 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 231 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 232 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 233 | Dic11⋊C4 | — | 2 | 4 | no | — |
| 234 | C4×Dic11 | — | 2 | 4 | no | — |
| 235 | C4×Dic11 | — | 2 | 4 | no | — |
| 236 | C4×Dic11 | — | 2 | 4 | no | — |
| 237 | C2×C11⋊C8 | C24 | 1 | 4 | yes | — |
| 238 | C2×C11⋊C8 | C24 | 1 | 4 | yes | — |
| 239 | #3556 | — | 11 | 1 | no | — |
| 240 | #3510 | D11 | 1 | 1 | yes | characteristic |
| 241 | #3400 | — | 11 | 4 | no | — |
| 242 | #3398 | — | 11 | 4 | no | — |
| 243 | #3377 | — | 11 | 4 | no | — |
| 244 | #3371 | — | 11 | 4 | no | — |
| 245 | #3223 | — | 11 | 2 | no | — |
| 246 | #3222 | — | 11 | 2 | no | — |
| 247 | #3215 | — | 11 | 2 | no | — |
| 248 | #3127 | — | 11 | 2 | no | — |
| 249 | #3123 | — | 11 | 2 | no | — |
| 250 | #3116 | — | 11 | 2 | no | — |
| 251 | #2987 | — | 11 | 1 | no | — |
| 252 | C23×C11 | — | 2 | 2 | no | — |
| 253 | C23×C11 | — | 2 | 1 | no | — |
| 254 | C23×C11 | — | 4 | 2 | no | — |
| 255 | C23×C11 | — | 8 | 2 | no | — |
| 256 | C23×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 257 | Q8×C11 | — | 2 | 4 | no | — |
| 258 | Q8×C11 | — | 2 | 2 | no | — |
| 259 | Q8×C11 | — | 4 | 4 | no | — |
| 260 | Q8×C11 | — | 4 | 2 | no | — |
| 261 | D4×C11 | — | 2 | 4 | no | — |
| 262 | D4×C11 | — | 2 | 2 | no | — |
| 263 | D4×C11 | — | 4 | 2 | no | — |
| 264 | D4×C11 | — | 4 | 2 | no | — |
| 265 | D4×C11 | — | 8 | 4 | no | — |
| 266 | C2×C4×C11 | — | 2 | 2 | no | — |
| 267 | C2×C4×C11 | — | 2 | 2 | no | — |
| 268 | C2×C4×C11 | — | 2 | 2 | no | — |
| 269 | C2×C4×C11 | — | 2 | 1 | no | — |
| 270 | C2×C4×C11 | — | 4 | 2 | no | — |
| 271 | C2×C4×C11 | — | 4 | 2 | no | — |
| 272 | C2×C4×C11 | — | 4 | 2 | no | — |
| 273 | C2×C4×C11 | — | 8 | 2 | no | — |
| 274 | C2×C4×C11 | — | 8 | 4 | no | — |
| 275 | C2×C4×C11 | C22×D4 | 1 | 2 | yes | — |
| 276 | C2×C4×C11 | C22×D4 | 1 | 4 | yes | — |
| 277 | C2×C4×C11 | C22×D4 | 1 | 4 | yes | — |
| 278 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 279 | C2×C4×C11 | C22×D4 | 1 | 2 | yes | — |
| 280 | C2×C4×C11 | C25 | 1 | 1 | yes | characteristic |
| 281 | C2×Dic11 | — | 2 | 4 | no | — |
| 282 | C2×Dic11 | — | 2 | 4 | no | — |
| 283 | Dic22 | — | 2 | 4 | no | — |
| 284 | Dic22 | — | 2 | 4 | no | — |
| 285 | Dic22 | — | 4 | 4 | no | — |
| 286 | C11⋊C8 | — | 2 | 4 | no | — |
| 287 | C11⋊C8 | — | 2 | 4 | no | — |
| 288 | #564 | — | 22 | 2 | no | — |
| 289 | #559 | C2×D11 | 1 | 4 | yes | — |
| 290 | #557 | — | 11 | 4 | no | — |
| 291 | #557 | — | 11 | 4 | no | — |
| 292 | #557 | — | 22 | 2 | no | — |
| 293 | #556 | C2×D11 | 1 | 4 | yes | — |
| 294 | #551 | — | 2 | 4 | no | — |
| 295 | #542 | — | 2 | 2 | no | — |
| 296 | #541 | — | 11 | 2 | no | — |
| 297 | #541 | — | 11 | 2 | no | — |
| 298 | #541 | — | 22 | 4 | no | — |
| 299 | #536 | C2×D11 | 1 | 1 | yes | characteristic |
| 300 | #535 | C2×D11 | 1 | 1 | yes | characteristic |
| 301 | #533 | — | 11 | 2 | no | — |
| 302 | #533 | C2×D11 | 1 | 1 | yes | characteristic |
| 303 | #529 | — | 2 | 2 | no | — |
| 304 | C2×#124 | C2×D11 | 1 | 1 | yes | characteristic |
| 305 | #519 | C2×D11 | 1 | 1 | yes | characteristic |
| 306 | #518 | C2×D11 | 1 | 1 | yes | characteristic |
| 307 | C4×#41 | C2×D11 | 1 | 1 | yes | characteristic |
| 308 | #497 | — | 11 | 2 | no | — |
| 309 | #497 | — | 11 | 4 | no | — |
| 310 | #497 | — | 11 | 2 | no | — |
| 311 | #494 | — | 11 | 2 | no | — |
| 312 | #492 | — | 11 | 2 | no | — |
| 313 | #491 | — | 11 | 2 | no | — |
| 314 | #490 | — | 11 | 2 | no | — |
| 315 | #489 | — | 11 | 4 | no | — |
| 316 | #488 | — | 11 | 2 | no | — |
| 317 | #488 | — | 11 | 2 | no | — |
| 318 | #485 | — | 11 | 4 | no | — |
| 319 | #479 | — | 11 | 4 | no | — |
| 320 | #478 | — | 11 | 4 | no | — |
| 321 | #477 | — | 11 | 2 | no | — |
| 322 | #476 | — | 11 | 2 | no | — |
| 323 | #464 | — | 11 | 4 | no | — |
| 324 | #464 | — | 11 | 4 | no | — |
| 325 | #464 | — | 11 | 4 | no | — |
| 326 | #464 | — | 11 | 4 | no | — |
| 327 | #462 | — | 11 | 4 | no | — |
| 328 | #462 | — | 11 | 2 | no | — |
| 329 | #462 | — | 11 | 4 | no | — |
| 330 | #461 | — | 11 | 2 | no | — |
| 331 | #461 | — | 11 | 4 | no | — |
| 332 | #460 | — | 11 | 4 | no | — |
| 333 | #452 | — | 11 | 4 | no | — |
| 334 | #451 | — | 11 | 4 | no | — |
| 335 | #450 | — | 11 | 4 | no | — |
| 336 | #446 | — | 11 | 4 | no | — |
| 337 | #446 | — | 11 | 4 | no | — |
| 338 | #441 | — | 11 | 4 | no | — |
| 339 | #441 | — | 11 | 4 | no | — |
| 340 | #440 | — | 11 | 4 | no | — |
| 341 | #440 | — | 11 | 4 | no | — |
| 342 | C4×Q16 | — | 11 | 4 | no | — |
| 343 | C4×SD16 | — | 11 | 4 | no | — |
| 344 | #433 | — | 11 | 2 | no | — |
| 345 | #433 | — | 11 | 2 | no | — |
| 346 | #432 | — | 11 | 2 | no | — |
| 347 | C22×C11 | — | 2 | 2 | no | — |
| 348 | C22×C11 | — | 2 | 1 | no | — |
| 349 | C22×C11 | — | 4 | 2 | no | — |
| 350 | C22×C11 | — | 4 | 4 | no | — |
| 351 | C22×C11 | — | 4 | 1 | no | — |
| 352 | C22×C11 | — | 4 | 2 | no | — |
| 353 | C22×C11 | — | 16 | 2 | no | — |
| 354 | C22×C11 | C23×D4 | 1 | 1 | yes | characteristic |
| 355 | C4×C11 | — | 2 | 2 | no | — |
| 356 | C4×C11 | — | 2 | 2 | no | — |
| 357 | C4×C11 | — | 2 | 4 | no | — |
| 358 | C4×C11 | — | 2 | 4 | no | — |
| 359 | C4×C11 | — | 2 | 1 | no | — |
| 360 | C4×C11 | — | 4 | 2 | no | — |
| 361 | C4×C11 | — | 4 | 1 | no | — |
| 362 | C4×C11 | — | 4 | 2 | no | — |
| 363 | C4×C11 | #585 | 1 | 2 | yes | — |
| 364 | Dic11 | — | 4 | 4 | no | — |
| 365 | Dic11 | — | 4 | 4 | no | — |
| 366 | C2×#41 | C22×D11 | 1 | 1 | yes | characteristic |
| 367 | C22×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 368 | C22×D4 | C22×D11 | 1 | 1 | yes | characteristic |
| 369 | C2×Q16 | — | 11 | 4 | no | — |
| 370 | C2×Q16 | — | 11 | 4 | no | — |
| 371 | C2×Q16 | — | 11 | 4 | no | — |
| 372 | C2×SD16 | — | 11 | 4 | no | — |
| 373 | C2×SD16 | — | 11 | 4 | no | — |
| 374 | C2×SD16 | — | 11 | 4 | no | — |
| 375 | C4⋊Q8 | — | 11 | 2 | no | — |
| 376 | C4⋊Q8 | — | 11 | 2 | no | — |
| 377 | C4⋊Q8 | — | 11 | 2 | no | — |
| 378 | C4⋊Q8 | — | 11 | 2 | no | — |
| 379 | C4⋊Q8 | — | 22 | 4 | no | — |
| 380 | C4⋊Q8 | C22⋊D11 | 1 | 2 | yes | — |
| 381 | C4⋊Q8 | C22×D11 | 1 | 2 | yes | — |
| 382 | #127 | C22×D11 | 1 | 2 | yes | — |
| 383 | #126 | — | 2 | 4 | no | — |
| 384 | #126 | — | 2 | 4 | no | — |
| 385 | #126 | — | 22 | 4 | no | — |
| 386 | #126 | — | 22 | 4 | no | — |
| 387 | #125 | — | 11 | 2 | no | — |
| 388 | #125 | — | 11 | 2 | no | — |
| 389 | #125 | — | 22 | 4 | no | — |
| 390 | #125 | — | 22 | 4 | no | — |
| 391 | #125 | — | 22 | 4 | no | — |
| 392 | #125 | — | 22 | 4 | no | — |
| 393 | #125 | — | 22 | 4 | no | — |
| 394 | #125 | — | 22 | 4 | no | — |
| 395 | #125 | — | 22 | 4 | no | — |
| 396 | #125 | — | 22 | 2 | no | — |
| 397 | #125 | C22⋊D11 | 1 | 2 | yes | — |
| 398 | #124 | — | 2 | 4 | no | — |
| 399 | #124 | — | 2 | 1 | no | — |
| 400 | #124 | — | 2 | 1 | no | — |
| 401 | #124 | C22×D11 | 1 | 4 | yes | — |
| 402 | #124 | C22×D11 | 1 | 2 | yes | — |
| 403 | #124 | C22×D11 | 1 | 2 | yes | — |
| 404 | #123 | — | 2 | 4 | no | — |
| 405 | #123 | — | 2 | 4 | no | — |
| 406 | #123 | — | 2 | 2 | no | — |
| 407 | C22⋊Q8 | — | 2 | 4 | no | — |
| 408 | C22⋊Q8 | — | 2 | 2 | no | — |
| 409 | C22⋊Q8 | — | 11 | 4 | no | — |
| 410 | C22⋊Q8 | — | 22 | 2 | no | — |
| 411 | C22⋊Q8 | C22⋊D11 | 1 | 4 | yes | — |
| 412 | #121 | — | 2 | 2 | no | — |
| 413 | #120 | — | 2 | 2 | no | — |
| 414 | C4×Q8 | — | 2 | 2 | no | — |
| 415 | C4×Q8 | — | 11 | 4 | no | — |
| 416 | C4×Q8 | — | 11 | 4 | no | — |
| 417 | C4×Q8 | — | 11 | 4 | no | — |
| 418 | C4×Q8 | — | 22 | 4 | no | — |
| 419 | C4×Q8 | — | 22 | 4 | no | — |
| 420 | C4×Q8 | — | 22 | 2 | no | — |
| 421 | C4×Q8 | C22×D11 | 1 | 2 | yes | — |
| 422 | C4×Q8 | C22×D11 | 1 | 4 | yes | — |
| 423 | C4×Q8 | C22×D11 | 1 | 4 | yes | — |
| 424 | C4×D4 | — | 2 | 2 | no | — |
| 425 | C4×D4 | — | 2 | 2 | no | — |
| 426 | C4×D4 | — | 2 | 4 | no | — |
| 427 | C4×D4 | C22×D11 | 1 | 2 | yes | — |
| 428 | C4×D4 | C22×D11 | 1 | 4 | yes | — |
| 429 | #117 | — | 2 | 4 | no | — |
| 430 | #117 | — | 2 | 2 | no | — |
| 431 | #117 | — | 2 | 1 | no | — |
| 432 | #117 | — | 22 | 2 | no | — |
| 433 | #117 | C22×D11 | 1 | 1 | yes | characteristic |
| 434 | #117 | C22×D11 | 1 | 1 | yes | characteristic |
| 435 | #117 | C22×D11 | 1 | 1 | yes | characteristic |
| 436 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 437 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 438 | C2×C42 | — | 2 | 1 | no | — |
| 439 | C2×C42 | C22×D11 | 1 | 1 | yes | characteristic |
| 440 | #107 | — | 11 | 4 | no | — |
| 441 | #106 | — | 11 | 4 | no | — |
| 442 | C4⋊C8 | — | 11 | 2 | no | — |
| 443 | C4⋊C8 | — | 11 | 2 | no | — |
| 444 | C4⋊C8 | — | 11 | 4 | no | — |
| 445 | C4⋊C8 | — | 11 | 4 | no | — |
| 446 | #103 | — | 11 | 4 | no | — |
| 447 | #103 | — | 11 | 4 | no | — |
| 448 | #103 | — | 11 | 4 | no | — |
| 449 | #103 | — | 11 | 4 | no | — |
| 450 | #103 | — | 11 | 4 | no | — |
| 451 | #102 | — | 11 | 4 | no | — |
| 452 | #102 | — | 11 | 4 | no | — |
| 453 | #102 | — | 11 | 4 | no | — |
| 454 | C22⋊C8 | — | 11 | 4 | no | — |
| 455 | #97 | — | 11 | 4 | no | — |
| 456 | #97 | — | 11 | 2 | no | — |
| 457 | #97 | — | 11 | 2 | no | — |
| 458 | C4×C8 | — | 11 | 2 | no | — |
| 459 | C4×C8 | — | 11 | 2 | no | — |
| 460 | C2×C11 | — | 4 | 1 | no | — |
| 461 | C2×C11 | — | 8 | 1 | no | — |
| 462 | C2×C11 | — | 8 | 2 | no | — |
| 463 | C2×C11 | #3487 | 1 | 1 | yes | characteristic |
| 464 | C2×C11 | #3586 | 1 | 2 | yes | — |
| 465 | C24 | — | 2 | 1 | no | — |
| 466 | #41 | — | 4 | 2 | no | — |
| 467 | C2×Q8 | — | 2 | 1 | no | — |
| 468 | C2×Q8 | — | 4 | 2 | no | — |
| 469 | C2×Q8 | — | 11 | 4 | no | — |
| 470 | C2×Q8 | — | 22 | 2 | no | — |
| 471 | C2×Q8 | C2×C22⋊D11 | 1 | 4 | yes | — |
| 472 | C2×Q8 | C23×D11 | 1 | 2 | yes | — |
| 473 | C2×Q8 | C23×D11 | 1 | 1 | yes | characteristic |
| 474 | C2×D4 | — | 2 | 1 | no | — |
| 475 | C2×D4 | — | 2 | 1 | no | — |
| 476 | C2×D4 | — | 2 | 4 | no | — |
| 477 | C2×D4 | — | 4 | 2 | no | — |
| 478 | C2×D4 | C23×D11 | 1 | 2 | yes | — |
| 479 | C2×D4 | C23×D11 | 1 | 1 | yes | characteristic |
| 480 | C22×C4 | — | 2 | 1 | no | — |
| 481 | C22×C4 | — | 2 | 1 | no | — |
| 482 | C22×C4 | — | 2 | 2 | no | — |
| 483 | C22×C4 | — | 2 | 4 | no | — |
| 484 | C22×C4 | C2×C22⋊D11 | 1 | 2 | yes | — |
| 485 | C22×C4 | C23×D11 | 1 | 1 | yes | characteristic |
| 486 | Q16 | — | 44 | 4 | no | — |
| 487 | Q16 | — | 44 | 4 | no | — |
| 488 | Q16 | — | 44 | 4 | no | — |
| 489 | SD16 | — | 44 | 4 | no | — |
| 490 | SD16 | — | 44 | 4 | no | — |
| 491 | SD16 | — | 44 | 4 | no | — |
| 492 | C2×C8 | — | 11 | 4 | no | — |
| 493 | C2×C8 | — | 11 | 4 | no | — |
| 494 | C4⋊C4 | — | 2 | 2 | no | — |
| 495 | C4⋊C4 | — | 2 | 4 | no | — |
| 496 | C4⋊C4 | — | 2 | 4 | no | — |
| 497 | C4⋊C4 | — | 11 | 4 | no | — |
| 498 | C4⋊C4 | — | 22 | 2 | no | — |
| 499 | C4⋊C4 | — | 22 | 2 | no | — |
| 500 | C4⋊C4 | — | 22 | 4 | no | — |
| 501 | C4⋊C4 | — | 22 | 4 | no | — |
| 502 | C4⋊C4 | — | 22 | 4 | no | — |
| 503 | C4⋊C4 | — | 22 | 2 | no | — |
| 504 | C4⋊C4 | — | 22 | 4 | no | — |
| 505 | C4⋊C4 | — | 22 | 4 | no | — |
| 506 | C4⋊C4 | — | 22 | 4 | no | — |
| 507 | C4⋊C4 | — | 22 | 4 | no | — |
| 508 | C4⋊C4 | — | 22 | 4 | no | — |
| 509 | C4⋊C4 | C2×C22⋊D11 | 1 | 4 | yes | — |
| 510 | C4⋊C4 | C2×C22⋊D11 | 1 | 2 | yes | — |
| 511 | C4⋊C4 | C2×C22⋊D11 | 1 | 2 | yes | — |
| 512 | C4⋊C4 | C2×C22⋊D11 | 1 | 4 | yes | — |
| 513 | C4⋊C4 | C2×C22⋊D11 | 1 | 4 | yes | — |
| 514 | C4⋊C4 | C23×D11 | 1 | 2 | yes | — |
| 515 | C22⋊C4 | — | 2 | 1 | no | — |
| 516 | C22⋊C4 | — | 2 | 4 | no | — |
| 517 | C22⋊C4 | — | 2 | 4 | no | — |
| 518 | C22⋊C4 | — | 2 | 4 | no | — |
| 519 | C22⋊C4 | — | 2 | 2 | no | — |
| 520 | C22⋊C4 | — | 2 | 4 | no | — |
| 521 | C22⋊C4 | — | 2 | 4 | no | — |
| 522 | C22⋊C4 | — | 22 | 4 | no | — |
| 523 | C22⋊C4 | C2×C22⋊D11 | 1 | 2 | yes | — |
| 524 | C22⋊C4 | C2×C22⋊D11 | 1 | 2 | yes | — |
| 525 | C42 | — | 2 | 2 | no | — |
| 526 | C42 | — | 2 | 1 | no | — |
| 527 | C42 | — | 2 | 4 | no | — |
| 528 | C42 | — | 22 | 4 | no | — |
| 529 | C42 | — | 22 | 4 | no | — |
| 530 | C42 | — | 22 | 4 | no | — |
| 531 | C42 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 532 | C42 | C2×C22⋊D11 | 1 | 1 | yes | characteristic |
| 533 | C42 | C23×D11 | 1 | 2 | yes | — |
| 534 | C42 | C23×D11 | 1 | 2 | yes | — |
| 535 | C42 | C23×D11 | 1 | 2 | yes | — |
| 536 | C11 | #61943 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 537 | C23 | — | 2 | 2 | no | — |
| 538 | C23 | — | 2 | 1 | no | — |
| 539 | C23 | — | 4 | 2 | no | — |
| 540 | C23 | — | 8 | 2 | no | — |
| 541 | C23 | C22×C22⋊D11 | 1 | 1 | yes | characteristic |
| 542 | Q8 | — | 2 | 4 | no | — |
| 543 | Q8 | — | 2 | 2 | no | — |
| 544 | Q8 | — | 4 | 4 | no | — |
| 545 | Q8 | — | 4 | 2 | no | — |
| 546 | Q8 | — | 22 | 4 | no | — |
| 547 | Q8 | — | 22 | 4 | no | — |
| 548 | Q8 | — | 44 | 4 | no | — |
| 549 | D4 | — | 2 | 4 | no | — |
| 550 | D4 | — | 2 | 2 | no | — |
| 551 | D4 | — | 4 | 2 | no | — |
| 552 | D4 | — | 4 | 2 | no | — |
| 553 | D4 | — | 8 | 4 | no | — |
| 554 | C2×C4 | — | 2 | 2 | no | — |
| 555 | C2×C4 | — | 2 | 2 | no | — |
| 556 | C2×C4 | — | 2 | 2 | no | — |
| 557 | C2×C4 | — | 2 | 1 | no | — |
| 558 | C2×C4 | — | 4 | 2 | no | — |
| 559 | C2×C4 | — | 4 | 2 | no | — |
| 560 | C2×C4 | — | 4 | 2 | no | — |
| 561 | C2×C4 | — | 8 | 2 | no | — |
| 562 | C2×C4 | — | 8 | 4 | no | — |
| 563 | C2×C4 | — | 22 | 4 | no | — |
| 564 | C2×C4 | — | 22 | 4 | no | — |
| 565 | C2×C4 | C22×C22⋊D11 | 1 | 4 | yes | — |
| 566 | C2×C4 | C22×C22⋊D11 | 1 | 1 | yes | characteristic |
| 567 | C2×C4 | C22×C22⋊D11 | 1 | 2 | yes | — |
| 568 | C2×C4 | C22×C22⋊D11 | 1 | 2 | yes | — |
| 569 | C2×C4 | C22×C22⋊D11 | 1 | 4 | yes | — |
| 570 | C2×C4 | C24×D11 | 1 | 1 | yes | characteristic |
| 571 | C8 | — | 22 | 4 | no | — |
| 572 | C8 | — | 22 | 4 | no | — |
| 573 | C22 | — | 2 | 2 | no | — |
| 574 | C22 | — | 2 | 1 | no | — |
| 575 | C22 | — | 4 | 2 | no | — |
| 576 | C22 | — | 4 | 4 | no | — |
| 577 | C22 | — | 4 | 1 | no | — |
| 578 | C22 | — | 4 | 2 | no | — |
| 579 | C22 | — | 16 | 2 | no | — |
| 580 | C22 | C23×C22⋊D11 | 1 | 1 | yes | characteristic |
| 581 | C4 | — | 2 | 2 | no | — |
| 582 | C4 | — | 2 | 2 | no | — |
| 583 | C4 | — | 2 | 4 | no | — |
| 584 | C4 | — | 2 | 4 | no | — |
| 585 | C4 | — | 2 | 1 | no | — |
| 586 | C4 | — | 4 | 2 | no | — |
| 587 | C4 | — | 4 | 1 | no | — |
| 588 | C4 | — | 4 | 2 | no | — |
| 589 | C4 | — | 44 | 4 | no | — |
| 590 | C4 | — | 44 | 4 | no | — |
| 591 | C4 | #10623453 | 1 | 2 | yes | — |
| 592 | C2 | — | 4 | 1 | no | — |
| 593 | C2 | — | 8 | 2 | no | — |
| 594 | C2 | — | 8 | 1 | no | — |
| 595 | C2 | #13082274 | 1 | 1 | yes | characteristic |
| 596 | C2 | #13083402 | 1 | 2 | yes | — |
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