Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
1840 conjugacy classes of subgroups.
The subgroup lattice has 626 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13082216 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | Q8×#4343 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13081310 | C2 | 1 | 3 | yes | maximal, complemented |
| 4 | #13081305 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #13081287 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13081275 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #13081270 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #13081254 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13081252 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13078940 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #13078407 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #13078074 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | C8×Q8×D11 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C4×#66972 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C11×#3363 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | Q82×C11 | C22 | 1 | 1 | yes | characteristic |
| 17 | C11×#557 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#66972 | C22 | 1 | 3 | yes | — |
| 19 | #10623263 | C22 | 1 | 3 | yes | — |
| 20 | #10623261 | — | 2 | 3 | no | — |
| 21 | #10623261 | C22 | 1 | 3 | yes | — |
| 22 | #10623259 | — | 2 | 3 | no | — |
| 23 | #10623259 | C22 | 1 | 3 | yes | — |
| 24 | #10623256 | C22 | 1 | 3 | yes | — |
| 25 | #10623226 | — | 2 | 3 | no | — |
| 26 | #10623222 | — | 2 | 3 | no | — |
| 27 | #10623116 | C22 | 1 | 3 | yes | — |
| 28 | #10623108 | C22 | 1 | 1 | yes | characteristic |
| 29 | #10623107 | — | 2 | 1 | no | — |
| 30 | Q8×D44 | — | 2 | 1 | no | — |
| 31 | Q8×D44 | C22 | 1 | 1 | yes | characteristic |
| 32 | C4×#4343 | — | 2 | 1 | no | — |
| 33 | C4×#4343 | C22 | 1 | 3 | yes | — |
| 34 | C4×#4343 | C22 | 1 | 3 | yes | — |
| 35 | C4×Q8×D11 | — | 2 | 1 | no | — |
| 36 | C4×Q8×D11 | C22 | 1 | 1 | yes | characteristic |
| 37 | #10623101 | C22 | 1 | 3 | yes | — |
| 38 | C11×#487 | C22 | 1 | 3 | yes | — |
| 39 | C11×#477 | C22 | 1 | 3 | yes | — |
| 40 | C11×#462 | C22 | 1 | 3 | yes | — |
| 41 | C8×Q8×C11 | C22 | 1 | 1 | yes | characteristic |
| 42 | C4×C11×Q16 | C22 | 1 | 3 | yes | — |
| 43 | #10622798 | C22 | 1 | 6 | yes | — |
| 44 | Q16×Dic11 | C22 | 1 | 3 | yes | — |
| 45 | #10622701 | C22 | 1 | 3 | yes | — |
| 46 | #10622697 | C22 | 1 | 3 | yes | — |
| 47 | #10622696 | C22 | 1 | 3 | yes | — |
| 48 | #10622694 | C22 | 1 | 3 | yes | — |
| 49 | #10622640 | C22 | 1 | 3 | yes | — |
| 50 | C4×#4325 | C22 | 1 | 3 | yes | — |
| 51 | C4×#4325 | C22 | 1 | 3 | yes | — |
| 52 | Q8×C11⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 53 | #10622633 | C22 | 1 | 3 | yes | — |
| 54 | #10622504 | C22 | 1 | 6 | yes | — |
| 55 | #10622493 | C22 | 1 | 3 | yes | — |
| 56 | #10622485 | C22 | 1 | 3 | yes | — |
| 57 | #10622459 | C22 | 1 | 3 | yes | — |
| 58 | #10622456 | C22 | 1 | 3 | yes | — |
| 59 | D11×C4⋊C8 | C22 | 1 | 3 | yes | — |
| 60 | #10622443 | C22 | 1 | 3 | yes | — |
| 61 | #10622432 | C22 | 1 | 6 | yes | — |
| 62 | #10622417 | C22 | 1 | 6 | yes | — |
| 63 | #10622417 | C22 | 1 | 1 | yes | characteristic |
| 64 | #10622417 | C22 | 1 | 3 | yes | — |
| 65 | #10622413 | C22 | 1 | 6 | yes | — |
| 66 | #10622413 | C22 | 1 | 6 | yes | — |
| 67 | #10622409 | C22 | 1 | 6 | yes | — |
| 68 | #10622401 | C22 | 1 | 3 | yes | — |
| 69 | #10622401 | C22 | 1 | 3 | yes | — |
| 70 | #10622307 | C22 | 1 | 3 | yes | — |
| 71 | C4×D88 | C22 | 1 | 3 | yes | — |
| 72 | C4×C8×D11 | C22 | 1 | 3 | yes | — |
| 73 | C8×Dic22 | C22 | 1 | 3 | yes | — |
| 74 | C2×#4343 | — | 2 | 1 | no | — |
| 75 | C2×#4343 | C23 | 1 | 3 | yes | — |
| 76 | C2×#4343 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×Q8×D11 | — | 2 | 1 | no | — |
| 78 | C2×Q8×D11 | D4 | 1 | 1 | yes | characteristic |
| 79 | C2×C11×Q16 | C23 | 1 | 3 | yes | — |
| 80 | C11×C4⋊Q8 | — | 2 | 3 | no | — |
| 81 | C11×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 82 | C11×C4⋊Q8 | C23 | 1 | 3 | yes | — |
| 83 | C11×#125 | — | 2 | 3 | no | — |
| 84 | C4×Q8×C11 | — | 2 | 1 | no | — |
| 85 | C4×Q8×C11 | — | 2 | 1 | no | — |
| 86 | C4×Q8×C11 | C23 | 1 | 3 | yes | — |
| 87 | C4×Q8×C11 | C23 | 1 | 3 | yes | — |
| 88 | C4×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 89 | #67000 | C23 | 1 | 6 | yes | — |
| 90 | #66999 | — | 2 | 3 | no | — |
| 91 | #66999 | — | 2 | 6 | no | — |
| 92 | Q8×Dic11 | — | 2 | 3 | no | — |
| 93 | Q8×Dic11 | D4 | 1 | 1 | yes | characteristic |
| 94 | Q8×Dic11 | C23 | 1 | 3 | yes | — |
| 95 | Q8×Dic11 | C23 | 1 | 3 | yes | — |
| 96 | C2×#4325 | C23 | 1 | 3 | yes | — |
| 97 | C2×#4325 | C23 | 1 | 3 | yes | — |
| 98 | #66972 | — | 2 | 12 | no | — |
| 99 | C2×D88 | C23 | 1 | 3 | yes | — |
| 100 | C2×C8×D11 | C23 | 1 | 3 | yes | — |
| 101 | C2×C8×D11 | C23 | 1 | 1 | yes | characteristic |
| 102 | #66951 | — | 2 | 6 | no | — |
| 103 | #66950 | — | 2 | 3 | no | — |
| 104 | #66950 | — | 2 | 3 | no | — |
| 105 | #66950 | — | 2 | 3 | no | — |
| 106 | #66950 | — | 2 | 3 | no | — |
| 107 | #66948 | — | 2 | 3 | no | — |
| 108 | #66948 | — | 2 | 3 | no | — |
| 109 | #66948 | — | 2 | 3 | no | — |
| 110 | #66947 | — | 2 | 6 | no | — |
| 111 | #66946 | — | 2 | 3 | no | — |
| 112 | #66946 | — | 2 | 3 | no | — |
| 113 | #66946 | — | 2 | 3 | no | — |
| 114 | #66946 | — | 2 | 3 | no | — |
| 115 | #66946 | C23 | 1 | 3 | yes | — |
| 116 | #66946 | C23 | 1 | 3 | yes | — |
| 117 | #66945 | — | 2 | 3 | no | — |
| 118 | #66945 | — | 2 | 3 | no | — |
| 119 | #66945 | — | 2 | 3 | no | — |
| 120 | #66945 | C23 | 1 | 3 | yes | — |
| 121 | #66945 | C23 | 1 | 1 | yes | characteristic |
| 122 | C4⋊C4×D11 | — | 2 | 3 | no | — |
| 123 | C4⋊C4×D11 | D4 | 1 | 3 | yes | — |
| 124 | #66943 | — | 2 | 6 | no | — |
| 125 | #66943 | C23 | 1 | 6 | yes | — |
| 126 | #66940 | — | 2 | 3 | no | — |
| 127 | #66940 | D4 | 1 | 3 | yes | — |
| 128 | #66928 | — | 2 | 3 | no | — |
| 129 | #66927 | C23 | 1 | 3 | yes | — |
| 130 | C4×D44 | — | 2 | 3 | no | — |
| 131 | C4×D44 | — | 2 | 3 | no | — |
| 132 | C4×D44 | — | 2 | 3 | no | — |
| 133 | C4×D44 | C23 | 1 | 3 | yes | — |
| 134 | C4×D44 | C23 | 1 | 3 | yes | — |
| 135 | C42×D11 | — | 2 | 3 | no | — |
| 136 | C42×D11 | — | 2 | 3 | no | — |
| 137 | C42×D11 | C23 | 1 | 3 | yes | — |
| 138 | #66922 | — | 2 | 3 | no | — |
| 139 | #66922 | C23 | 1 | 3 | yes | — |
| 140 | C4×Dic22 | — | 2 | 3 | no | — |
| 141 | C4×Dic22 | C23 | 1 | 3 | yes | — |
| 142 | C11×#107 | C23 | 1 | 3 | yes | — |
| 143 | C11×C4⋊C8 | C23 | 1 | 3 | yes | — |
| 144 | C11×#103 | C23 | 1 | 1 | yes | characteristic |
| 145 | C11×#103 | C23 | 1 | 3 | yes | — |
| 146 | C11×#103 | C23 | 1 | 6 | yes | — |
| 147 | C4×C8×C11 | C23 | 1 | 3 | yes | — |
| 148 | #66899 | C23 | 1 | 1 | yes | characteristic |
| 149 | #66899 | C23 | 1 | 3 | yes | — |
| 150 | #66899 | C23 | 1 | 6 | yes | — |
| 151 | #66885 | C23 | 1 | 6 | yes | — |
| 152 | #66885 | C23 | 1 | 1 | yes | characteristic |
| 153 | #66885 | C23 | 1 | 3 | yes | — |
| 154 | #66882 | C23 | 1 | 3 | yes | — |
| 155 | Dic11⋊C8 | C23 | 1 | 6 | yes | — |
| 156 | C8×Dic11 | C23 | 1 | 3 | yes | — |
| 157 | C8×Dic11 | C23 | 1 | 3 | yes | — |
| 158 | #66873 | C23 | 1 | 1 | yes | characteristic |
| 159 | #66873 | C23 | 1 | 3 | yes | — |
| 160 | #66873 | C23 | 1 | 6 | yes | — |
| 161 | #66872 | C23 | 1 | 3 | yes | — |
| 162 | #66872 | C23 | 1 | 3 | yes | — |
| 163 | C4⋊(C11⋊C8) | C23 | 1 | 3 | yes | — |
| 164 | C4×C11⋊C8 | C23 | 1 | 3 | yes | — |
| 165 | #61303 | — | 11 | 1 | no | maximal, Sylow |
| 166 | C2×Q8×C11 | — | 2 | 3 | no | — |
| 167 | C2×Q8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×Q8×C11 | C24 | 1 | 3 | yes | — |
| 169 | C2×Q8×C11 | C24 | 1 | 1 | yes | characteristic |
| 170 | #4343 | — | 2 | 2 | no | — |
| 171 | #4343 | — | 2 | 6 | no | — |
| 172 | #4343 | — | 2 | 6 | no | — |
| 173 | #4343 | — | 4 | 4 | no | — |
| 174 | #4343 | #41 | 1 | 4 | yes | complemented |
| 175 | Q8×D11 | — | 2 | 4 | no | — |
| 176 | Q8×D11 | — | 4 | 4 | no | — |
| 177 | C2×D44 | — | 2 | 1 | no | — |
| 178 | C2×D44 | — | 2 | 3 | no | — |
| 179 | C2×D44 | — | 2 | 3 | no | — |
| 180 | C2×D44 | — | 2 | 3 | no | — |
| 181 | C2×D44 | C24 | 1 | 3 | yes | — |
| 182 | C2×D44 | C24 | 1 | 1 | yes | characteristic |
| 183 | C2×C4×D11 | — | 2 | 1 | no | — |
| 184 | C2×C4×D11 | — | 2 | 3 | no | — |
| 185 | C2×C4×D11 | — | 2 | 3 | no | — |
| 186 | C2×C4×D11 | — | 2 | 3 | no | — |
| 187 | C2×C4×D11 | — | 2 | 3 | no | — |
| 188 | C2×C4×D11 | — | 2 | 3 | no | — |
| 189 | C2×C4×D11 | C2×D4 | 1 | 3 | yes | — |
| 190 | C2×C4×D11 | C2×D4 | 1 | 3 | yes | — |
| 191 | C2×C4×D11 | C24 | 1 | 1 | yes | characteristic |
| 192 | C2×Dic22 | — | 2 | 3 | no | — |
| 193 | C2×Dic22 | C2×D4 | 1 | 3 | yes | — |
| 194 | C11×Q16 | — | 2 | 6 | no | — |
| 195 | C2×C8×C11 | C24 | 1 | 1 | yes | characteristic |
| 196 | C2×C8×C11 | C24 | 1 | 3 | yes | — |
| 197 | C11×C4⋊C4 | — | 2 | 3 | no | — |
| 198 | C11×C4⋊C4 | — | 2 | 3 | no | — |
| 199 | C11×C4⋊C4 | — | 2 | 3 | no | — |
| 200 | C11×C4⋊C4 | — | 2 | 3 | no | — |
| 201 | C11×C4⋊C4 | — | 2 | 3 | no | — |
| 202 | C11×C4⋊C4 | C2×D4 | 1 | 3 | yes | — |
| 203 | C11×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 204 | C11×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 205 | C42×C11 | — | 2 | 3 | no | — |
| 206 | C42×C11 | — | 2 | 3 | no | — |
| 207 | C42×C11 | C24 | 1 | 3 | yes | — |
| 208 | #4325 | — | 2 | 6 | no | — |
| 209 | #4325 | — | 2 | 6 | no | — |
| 210 | (C2×D11)⋊C4 | — | 2 | 3 | no | — |
| 211 | (C2×D11)⋊C4 | — | 2 | 6 | no | — |
| 212 | (C2×D11)⋊C4 | — | 2 | 3 | no | — |
| 213 | (C2×D11)⋊C4 | — | 2 | 6 | no | — |
| 214 | (C2×D11)⋊C4 | — | 2 | 1 | no | — |
| 215 | (C2×D11)⋊C4 | — | 2 | 3 | no | — |
| 216 | (C2×D11)⋊C4 | — | 2 | 3 | no | — |
| 217 | (C2×D11)⋊C4 | — | 2 | 3 | no | — |
| 218 | C4⋊Dic11 | — | 2 | 3 | no | — |
| 219 | C4⋊Dic11 | — | 2 | 6 | no | — |
| 220 | C4⋊Dic11 | — | 2 | 3 | no | — |
| 221 | C4⋊Dic11 | — | 2 | 3 | no | — |
| 222 | C4⋊Dic11 | C2×D4 | 1 | 3 | yes | — |
| 223 | C4⋊Dic11 | C24 | 1 | 1 | yes | characteristic |
| 224 | C4⋊Dic11 | C24 | 1 | 3 | yes | — |
| 225 | Dic11⋊C4 | — | 2 | 6 | no | — |
| 226 | Dic11⋊C4 | C2×D4 | 1 | 6 | yes | — |
| 227 | C4×Dic11 | — | 2 | 3 | no | — |
| 228 | C4×Dic11 | — | 2 | 1 | no | — |
| 229 | C4×Dic11 | — | 2 | 3 | no | — |
| 230 | C4×Dic11 | — | 2 | 3 | no | — |
| 231 | C4×Dic11 | C2×D4 | 1 | 3 | yes | — |
| 232 | C4×Dic11 | C2×D4 | 1 | 3 | yes | — |
| 233 | C4×Dic11 | C24 | 1 | 3 | yes | — |
| 234 | C2×C11⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 235 | C2×C11⋊C8 | C24 | 1 | 3 | yes | — |
| 236 | D88 | — | 2 | 6 | no | — |
| 237 | C8×D11 | — | 2 | 6 | no | — |
| 238 | C8×D11 | — | 2 | 2 | no | — |
| 239 | #3480 | — | 11 | 1 | no | — |
| 240 | Q8×#41 | — | 11 | 1 | no | — |
| 241 | #3365 | — | 11 | 3 | no | — |
| 242 | #3364 | — | 11 | 3 | no | — |
| 243 | #3363 | D11 | 1 | 1 | yes | characteristic, complemented |
| 244 | #3362 | — | 11 | 1 | no | — |
| 245 | #3361 | — | 11 | 3 | no | — |
| 246 | #3360 | — | 11 | 3 | no | — |
| 247 | #3359 | — | 11 | 1 | no | — |
| 248 | #3358 | — | 11 | 1 | no | — |
| 249 | #3131 | — | 11 | 3 | no | — |
| 250 | #3076 | — | 11 | 3 | no | — |
| 251 | #3035 | — | 11 | 3 | no | — |
| 252 | C2×C8×Q8 | — | 11 | 1 | no | — |
| 253 | C4×#135 | — | 11 | 3 | no | — |
| 254 | C22×D11 | — | 2 | 1 | no | — |
| 255 | C22×D11 | — | 2 | 3 | no | — |
| 256 | C22×D11 | C22×D4 | 1 | 1 | yes | characteristic |
| 257 | Q8×C11 | — | 2 | 1 | no | — |
| 258 | Q8×C11 | — | 2 | 3 | no | — |
| 259 | Q8×C11 | — | 2 | 3 | no | — |
| 260 | Q8×C11 | — | 8 | 3 | no | — |
| 261 | Q8×C11 | #135 | 1 | 4 | yes | complemented |
| 262 | Q8×C11 | C2×#41 | 1 | 2 | yes | — |
| 263 | C2×C4×C11 | — | 2 | 1 | no | — |
| 264 | C2×C4×C11 | — | 2 | 3 | no | — |
| 265 | C2×C4×C11 | — | 2 | 3 | no | — |
| 266 | C2×C4×C11 | — | 2 | 1 | no | — |
| 267 | C2×C4×C11 | C22×D4 | 1 | 3 | yes | — |
| 268 | C2×C4×C11 | C22×D4 | 1 | 3 | yes | — |
| 269 | C2×C4×C11 | C25 | 1 | 1 | yes | characteristic |
| 270 | C2×Dic11 | — | 2 | 1 | no | — |
| 271 | C2×Dic11 | — | 2 | 3 | no | — |
| 272 | C2×Dic11 | C22×D4 | 1 | 3 | yes | — |
| 273 | C2×Dic11 | C22×D4 | 1 | 3 | yes | — |
| 274 | C2×Dic11 | C22×D4 | 1 | 1 | yes | characteristic |
| 275 | D44 | — | 2 | 4 | no | — |
| 276 | D44 | — | 2 | 3 | no | — |
| 277 | D44 | — | 2 | 1 | no | — |
| 278 | D44 | — | 2 | 3 | no | — |
| 279 | D44 | — | 4 | 6 | no | — |
| 280 | D44 | — | 4 | 6 | no | — |
| 281 | D44 | — | 8 | 3 | no | — |
| 282 | D44 | C2×#41 | 1 | 2 | yes | — |
| 283 | C4×D11 | — | 2 | 6 | no | — |
| 284 | C4×D11 | — | 2 | 4 | no | — |
| 285 | C4×D11 | — | 4 | 3 | no | — |
| 286 | C4×D11 | — | 4 | 6 | no | — |
| 287 | C4×D11 | — | 4 | 6 | no | — |
| 288 | C4×D11 | — | 4 | 6 | no | — |
| 289 | C4×D11 | — | 8 | 3 | no | — |
| 290 | C4×D11 | — | 8 | 3 | no | — |
| 291 | C4×D11 | C2×#41 | 1 | 2 | yes | — |
| 292 | C4×D11 | 2−1+4 | 1 | 2 | yes | — |
| 293 | Dic22 | — | 2 | 6 | no | — |
| 294 | Dic22 | — | 4 | 6 | no | — |
| 295 | C8×C11 | — | 2 | 3 | no | — |
| 296 | C8×C11 | — | 2 | 1 | no | — |
| 297 | C11⋊C8 | — | 2 | 3 | no | — |
| 298 | C11⋊C8 | — | 2 | 1 | no | — |
| 299 | C2×#135 | — | 11 | 3 | no | — |
| 300 | #559 | — | 11 | 3 | no | — |
| 301 | Q82 | C2×D11 | 1 | 1 | yes | characteristic |
| 302 | #557 | — | 11 | 3 | no | — |
| 303 | #557 | C2×D11 | 1 | 1 | yes | characteristic |
| 304 | #556 | — | 11 | 3 | no | — |
| 305 | #554 | — | 11 | 3 | no | — |
| 306 | #554 | — | 22 | 3 | no | — |
| 307 | #553 | — | 22 | 3 | no | — |
| 308 | #550 | — | 11 | 1 | no | — |
| 309 | D4×Q8 | — | 11 | 1 | no | — |
| 310 | D4×Q8 | — | 22 | 1 | no | — |
| 311 | #548 | — | 22 | 1 | no | — |
| 312 | #533 | — | 11 | 3 | no | — |
| 313 | #533 | — | 22 | 3 | no | — |
| 314 | #532 | — | 11 | 3 | no | — |
| 315 | #529 | — | 22 | 3 | no | — |
| 316 | C4×#41 | — | 11 | 3 | no | — |
| 317 | C4×#41 | — | 11 | 3 | no | — |
| 318 | C4×#41 | — | 22 | 1 | no | — |
| 319 | C2×C4×Q8 | — | 11 | 1 | no | — |
| 320 | C2×C4×Q8 | — | 22 | 1 | no | — |
| 321 | #488 | — | 11 | 6 | no | — |
| 322 | #488 | — | 11 | 6 | no | — |
| 323 | #487 | — | 11 | 3 | no | — |
| 324 | #487 | C2×D11 | 1 | 3 | yes | — |
| 325 | #486 | — | 11 | 3 | no | — |
| 326 | #486 | — | 11 | 3 | no | — |
| 327 | #479 | — | 11 | 6 | no | — |
| 328 | #478 | — | 11 | 6 | no | — |
| 329 | #477 | C2×D11 | 1 | 3 | yes | — |
| 330 | #476 | — | 11 | 3 | no | — |
| 331 | #475 | — | 11 | 3 | no | — |
| 332 | #474 | — | 11 | 3 | no | — |
| 333 | #464 | — | 11 | 6 | no | — |
| 334 | #463 | — | 11 | 6 | no | — |
| 335 | #462 | C2×D11 | 1 | 3 | yes | — |
| 336 | #461 | — | 11 | 3 | no | — |
| 337 | #460 | — | 11 | 3 | no | — |
| 338 | #459 | — | 11 | 3 | no | — |
| 339 | C8×Q8 | — | 11 | 1 | no | — |
| 340 | C8×Q8 | — | 11 | 3 | no | — |
| 341 | C8×Q8 | — | 11 | 3 | no | — |
| 342 | C8×Q8 | C2×D11 | 1 | 1 | yes | characteristic |
| 343 | C4×Q16 | — | 11 | 3 | no | — |
| 344 | C4×Q16 | C2×D11 | 1 | 3 | yes | — |
| 345 | C4×SD16 | — | 11 | 3 | no | — |
| 346 | C4×SD16 | — | 11 | 3 | no | — |
| 347 | C4×SD16 | — | 11 | 3 | no | — |
| 348 | C4×SD16 | — | 11 | 3 | no | — |
| 349 | C4×D8 | — | 11 | 3 | no | — |
| 350 | C4×D8 | — | 11 | 3 | no | — |
| 351 | #427 | — | 11 | 3 | no | — |
| 352 | C2×C4⋊C8 | — | 11 | 3 | no | — |
| 353 | #416 | — | 11 | 6 | no | — |
| 354 | #416 | — | 11 | 3 | no | — |
| 355 | #416 | — | 11 | 1 | no | — |
| 356 | C2×C4×C8 | — | 11 | 3 | no | — |
| 357 | C22×C11 | C23×D4 | 1 | 1 | yes | characteristic |
| 358 | C2×D11 | — | 2 | 1 | no | — |
| 359 | C2×D11 | — | 2 | 1 | no | — |
| 360 | C2×D11 | — | 2 | 2 | no | — |
| 361 | C2×D11 | — | 4 | 1 | no | — |
| 362 | C2×D11 | — | 4 | 1 | no | — |
| 363 | C2×D11 | — | 4 | 3 | no | — |
| 364 | C2×D11 | — | 4 | 3 | no | — |
| 365 | C2×D11 | — | 4 | 3 | no | — |
| 366 | C2×D11 | #548 | 1 | 2 | yes | — |
| 367 | C4×C11 | — | 2 | 3 | no | — |
| 368 | C4×C11 | — | 2 | 2 | no | — |
| 369 | C4×C11 | — | 4 | 3 | no | — |
| 370 | C4×C11 | — | 4 | 1 | no | — |
| 371 | C4×C11 | — | 4 | 3 | no | — |
| 372 | C4×C11 | C2×#135 | 1 | 6 | yes | — |
| 373 | C4×C11 | C22×#41 | 1 | 1 | yes | characteristic |
| 374 | C4×C11 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 375 | Dic11 | — | 2 | 3 | no | — |
| 376 | Dic11 | — | 2 | 3 | no | — |
| 377 | Dic11 | — | 4 | 3 | no | — |
| 378 | Dic11 | — | 4 | 1 | no | — |
| 379 | Dic11 | #548 | 1 | 2 | yes | — |
| 380 | C2×#41 | — | 11 | 1 | no | — |
| 381 | C2×#41 | — | 11 | 3 | no | — |
| 382 | C2×#41 | — | 22 | 1 | no | — |
| 383 | C22×Q8 | — | 11 | 1 | no | — |
| 384 | C22×Q8 | — | 22 | 1 | no | — |
| 385 | #135 | — | 22 | 12 | no | — |
| 386 | C2×Q16 | C22×D11 | 1 | 3 | yes | — |
| 387 | C2×SD16 | — | 11 | 3 | no | — |
| 388 | C2×SD16 | — | 11 | 3 | no | — |
| 389 | C2×D8 | — | 11 | 3 | no | — |
| 390 | C22×C8 | — | 11 | 3 | no | — |
| 391 | C22×C8 | — | 11 | 1 | no | — |
| 392 | C4⋊Q8 | — | 2 | 3 | no | — |
| 393 | C4⋊Q8 | — | 11 | 3 | no | — |
| 394 | C4⋊Q8 | — | 22 | 3 | no | — |
| 395 | C4⋊Q8 | C22×D11 | 1 | 3 | yes | — |
| 396 | C4⋊Q8 | C22×D11 | 1 | 3 | yes | — |
| 397 | #127 | — | 11 | 3 | no | — |
| 398 | #126 | — | 22 | 6 | no | — |
| 399 | #125 | — | 2 | 3 | no | — |
| 400 | #125 | — | 11 | 6 | no | — |
| 401 | #125 | — | 22 | 6 | no | — |
| 402 | #124 | — | 11 | 6 | no | — |
| 403 | #124 | — | 22 | 3 | no | — |
| 404 | #123 | — | 22 | 6 | no | — |
| 405 | C22⋊Q8 | — | 22 | 3 | no | — |
| 406 | C22⋊Q8 | — | 22 | 3 | no | — |
| 407 | C22⋊Q8 | — | 22 | 3 | no | — |
| 408 | C22⋊Q8 | — | 22 | 6 | no | — |
| 409 | C22⋊Q8 | — | 22 | 3 | no | — |
| 410 | C22⋊Q8 | — | 22 | 3 | no | — |
| 411 | #121 | — | 22 | 3 | no | — |
| 412 | #121 | — | 22 | 3 | no | — |
| 413 | #121 | — | 22 | 3 | no | — |
| 414 | C4×Q8 | — | 2 | 1 | no | — |
| 415 | C4×Q8 | — | 2 | 1 | no | — |
| 416 | C4×Q8 | — | 11 | 1 | no | — |
| 417 | C4×Q8 | — | 11 | 3 | no | — |
| 418 | C4×Q8 | — | 11 | 3 | no | — |
| 419 | C4×Q8 | — | 11 | 3 | no | — |
| 420 | C4×Q8 | — | 11 | 3 | no | — |
| 421 | C4×Q8 | — | 22 | 3 | no | — |
| 422 | C4×Q8 | — | 22 | 3 | no | — |
| 423 | C4×Q8 | — | 22 | 3 | no | — |
| 424 | C4×Q8 | C22×D11 | 1 | 3 | yes | — |
| 425 | C4×Q8 | C22×D11 | 1 | 3 | yes | — |
| 426 | C4×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 427 | C4×D4 | — | 11 | 3 | no | — |
| 428 | C4×D4 | — | 11 | 3 | no | — |
| 429 | C4×D4 | — | 11 | 3 | no | — |
| 430 | C4×D4 | — | 11 | 3 | no | — |
| 431 | C4×D4 | — | 22 | 3 | no | — |
| 432 | C4×D4 | — | 22 | 3 | no | — |
| 433 | C4×D4 | — | 22 | 3 | no | — |
| 434 | C4×D4 | — | 22 | 3 | no | — |
| 435 | C4×D4 | — | 22 | 3 | no | — |
| 436 | C4×D4 | — | 22 | 3 | no | — |
| 437 | C4×D4 | — | 22 | 3 | no | — |
| 438 | #117 | — | 11 | 1 | no | — |
| 439 | #117 | — | 11 | 3 | no | — |
| 440 | #117 | — | 22 | 3 | no | — |
| 441 | #117 | — | 22 | 3 | no | — |
| 442 | #117 | — | 22 | 3 | no | — |
| 443 | C2×C4⋊C4 | — | 11 | 3 | no | — |
| 444 | C2×C4⋊C4 | — | 22 | 3 | no | — |
| 445 | C2×C42 | — | 11 | 3 | no | — |
| 446 | C2×C42 | — | 22 | 3 | no | — |
| 447 | C2×C42 | — | 22 | 3 | no | — |
| 448 | #107 | — | 11 | 3 | no | — |
| 449 | #107 | C22×D11 | 1 | 3 | yes | — |
| 450 | #106 | — | 11 | 3 | no | — |
| 451 | #106 | — | 11 | 3 | no | — |
| 452 | C4⋊C8 | — | 11 | 6 | no | — |
| 453 | C4⋊C8 | — | 11 | 3 | no | — |
| 454 | C4⋊C8 | C22×D11 | 1 | 3 | yes | — |
| 455 | #103 | — | 11 | 1 | no | — |
| 456 | #103 | — | 11 | 3 | no | — |
| 457 | #103 | — | 11 | 6 | no | — |
| 458 | #103 | C22×D11 | 1 | 1 | yes | characteristic |
| 459 | #103 | C22×D11 | 1 | 3 | yes | — |
| 460 | #103 | C22×D11 | 1 | 6 | yes | — |
| 461 | #102 | — | 11 | 1 | no | — |
| 462 | #102 | — | 11 | 3 | no | — |
| 463 | #102 | — | 11 | 6 | no | — |
| 464 | #102 | — | 11 | 1 | no | — |
| 465 | #102 | — | 11 | 3 | no | — |
| 466 | #102 | — | 11 | 6 | no | — |
| 467 | C4×C8 | — | 11 | 3 | no | — |
| 468 | C4×C8 | — | 11 | 3 | no | — |
| 469 | C4×C8 | — | 11 | 3 | no | — |
| 470 | C4×C8 | C22×D11 | 1 | 3 | yes | — |
| 471 | C2×C11 | C2×#548 | 1 | 1 | yes | characteristic |
| 472 | C2×C11 | C22×#135 | 1 | 1 | yes | characteristic |
| 473 | C2×C11 | #3584 | 1 | 1 | yes | characteristic |
| 474 | D11 | — | 2 | 2 | no | — |
| 475 | D11 | — | 4 | 2 | no | — |
| 476 | D11 | — | 8 | 3 | no | — |
| 477 | #41 | — | 11 | 4 | no | — |
| 478 | #41 | — | 22 | 2 | no | — |
| 479 | #41 | — | 22 | 6 | no | — |
| 480 | #41 | — | 22 | 6 | no | — |
| 481 | #41 | — | 44 | 4 | no | — |
| 482 | C2×Q8 | — | 2 | 3 | no | — |
| 483 | C2×Q8 | — | 11 | 3 | no | — |
| 484 | C2×Q8 | — | 22 | 4 | no | — |
| 485 | C2×Q8 | — | 22 | 3 | no | — |
| 486 | C2×Q8 | — | 44 | 4 | no | — |
| 487 | C2×Q8 | D4×D11 | 1 | 1 | yes | characteristic |
| 488 | C2×Q8 | C23×D11 | 1 | 3 | yes | — |
| 489 | C2×Q8 | C23×D11 | 1 | 1 | yes | characteristic |
| 490 | C2×D4 | — | 11 | 1 | no | — |
| 491 | C2×D4 | — | 11 | 3 | no | — |
| 492 | C2×D4 | — | 22 | 1 | no | — |
| 493 | C2×D4 | — | 22 | 3 | no | — |
| 494 | C2×D4 | — | 22 | 3 | no | — |
| 495 | C2×D4 | — | 22 | 3 | no | — |
| 496 | C22×C4 | — | 11 | 1 | no | — |
| 497 | C22×C4 | — | 11 | 3 | no | — |
| 498 | C22×C4 | — | 11 | 3 | no | — |
| 499 | C22×C4 | — | 22 | 1 | no | — |
| 500 | C22×C4 | — | 22 | 3 | no | — |
| 501 | C22×C4 | — | 22 | 3 | no | — |
| 502 | C22×C4 | — | 22 | 3 | no | — |
| 503 | C22×C4 | — | 22 | 3 | no | — |
| 504 | C22×C4 | — | 22 | 3 | no | — |
| 505 | Q16 | — | 2 | 6 | no | — |
| 506 | SD16 | — | 22 | 6 | no | — |
| 507 | SD16 | — | 22 | 6 | no | — |
| 508 | D8 | — | 22 | 6 | no | — |
| 509 | C2×C8 | — | 11 | 1 | no | — |
| 510 | C2×C8 | — | 11 | 3 | no | — |
| 511 | C2×C8 | — | 22 | 6 | no | — |
| 512 | C2×C8 | — | 22 | 2 | no | — |
| 513 | C2×C8 | C23×D11 | 1 | 1 | yes | characteristic |
| 514 | C2×C8 | C23×D11 | 1 | 3 | yes | — |
| 515 | C4⋊C4 | — | 2 | 3 | no | — |
| 516 | C4⋊C4 | — | 2 | 3 | no | — |
| 517 | C4⋊C4 | — | 2 | 3 | no | — |
| 518 | C4⋊C4 | — | 2 | 3 | no | — |
| 519 | C4⋊C4 | — | 2 | 3 | no | — |
| 520 | C4⋊C4 | — | 11 | 3 | no | — |
| 521 | C4⋊C4 | — | 11 | 6 | no | — |
| 522 | C4⋊C4 | — | 11 | 3 | no | — |
| 523 | C4⋊C4 | — | 11 | 1 | no | — |
| 524 | C4⋊C4 | — | 22 | 6 | no | — |
| 525 | C4⋊C4 | — | 22 | 3 | no | — |
| 526 | C4⋊C4 | — | 22 | 3 | no | — |
| 527 | C4⋊C4 | — | 22 | 6 | no | — |
| 528 | C4⋊C4 | — | 22 | 3 | no | — |
| 529 | C4⋊C4 | D4×D11 | 1 | 3 | yes | — |
| 530 | C4⋊C4 | C23×D11 | 1 | 3 | yes | — |
| 531 | C4⋊C4 | C23×D11 | 1 | 1 | yes | characteristic |
| 532 | C22⋊C4 | — | 22 | 3 | no | — |
| 533 | C22⋊C4 | — | 22 | 3 | no | — |
| 534 | C22⋊C4 | — | 22 | 6 | no | — |
| 535 | C22⋊C4 | — | 22 | 6 | no | — |
| 536 | C22⋊C4 | — | 22 | 1 | no | — |
| 537 | C22⋊C4 | — | 22 | 3 | no | — |
| 538 | C22⋊C4 | — | 22 | 3 | no | — |
| 539 | C22⋊C4 | — | 22 | 3 | no | — |
| 540 | C42 | — | 2 | 3 | no | — |
| 541 | C42 | — | 2 | 3 | no | — |
| 542 | C42 | — | 11 | 3 | no | — |
| 543 | C42 | — | 11 | 3 | no | — |
| 544 | C42 | — | 11 | 3 | no | — |
| 545 | C42 | — | 22 | 1 | no | — |
| 546 | C42 | — | 22 | 3 | no | — |
| 547 | C42 | — | 22 | 3 | no | — |
| 548 | C42 | — | 22 | 3 | no | — |
| 549 | C42 | C23×D11 | 1 | 3 | yes | — |
| 550 | C11 | #61303 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 551 | C23 | — | 11 | 1 | no | — |
| 552 | C23 | — | 22 | 1 | no | — |
| 553 | C23 | — | 22 | 3 | no | — |
| 554 | Q8 | — | 2 | 1 | no | — |
| 555 | Q8 | — | 2 | 3 | no | — |
| 556 | Q8 | — | 2 | 3 | no | — |
| 557 | Q8 | — | 8 | 3 | no | — |
| 558 | Q8 | — | 22 | 6 | no | — |
| 559 | Q8 | — | 44 | 6 | no | — |
| 560 | Q8 | #66972 | 1 | 4 | yes | complemented |
| 561 | Q8 | #41×D11 | 1 | 2 | yes | — |
| 562 | D4 | — | 11 | 2 | no | — |
| 563 | D4 | — | 22 | 4 | no | — |
| 564 | D4 | — | 22 | 3 | no | — |
| 565 | D4 | — | 22 | 1 | no | — |
| 566 | D4 | — | 22 | 3 | no | — |
| 567 | D4 | — | 44 | 6 | no | — |
| 568 | D4 | — | 44 | 6 | no | — |
| 569 | D4 | — | 88 | 3 | no | — |
| 570 | C2×C4 | — | 2 | 1 | no | — |
| 571 | C2×C4 | — | 2 | 1 | no | — |
| 572 | C2×C4 | — | 2 | 3 | no | — |
| 573 | C2×C4 | — | 2 | 3 | no | — |
| 574 | C2×C4 | — | 11 | 1 | no | — |
| 575 | C2×C4 | — | 11 | 2 | no | — |
| 576 | C2×C4 | — | 11 | 2 | no | — |
| 577 | C2×C4 | — | 11 | 3 | no | — |
| 578 | C2×C4 | — | 11 | 3 | no | — |
| 579 | C2×C4 | — | 22 | 4 | no | — |
| 580 | C2×C4 | — | 22 | 6 | no | — |
| 581 | C2×C4 | — | 22 | 1 | no | — |
| 582 | C2×C4 | — | 22 | 3 | no | — |
| 583 | C2×C4 | — | 44 | 3 | no | — |
| 584 | C2×C4 | — | 44 | 6 | no | — |
| 585 | C2×C4 | — | 44 | 6 | no | — |
| 586 | C2×C4 | — | 44 | 6 | no | — |
| 587 | C2×C4 | — | 88 | 3 | no | — |
| 588 | C2×C4 | — | 88 | 3 | no | — |
| 589 | C2×C4 | C2×D4×D11 | 1 | 3 | yes | — |
| 590 | C2×C4 | C2×D4×D11 | 1 | 3 | yes | — |
| 591 | C2×C4 | C24×D11 | 1 | 1 | yes | characteristic |
| 592 | C8 | — | 2 | 3 | no | — |
| 593 | C8 | — | 2 | 1 | no | — |
| 594 | C8 | — | 22 | 3 | no | — |
| 595 | C8 | — | 22 | 1 | no | — |
| 596 | C22 | — | 11 | 2 | no | — |
| 597 | C22 | — | 22 | 1 | no | — |
| 598 | C22 | — | 22 | 1 | no | — |
| 599 | C22 | — | 22 | 2 | no | — |
| 600 | C22 | — | 44 | 1 | no | — |
| 601 | C22 | — | 44 | 1 | no | — |
| 602 | C22 | — | 44 | 3 | no | — |
| 603 | C22 | — | 44 | 3 | no | — |
| 604 | C22 | — | 44 | 3 | no | — |
| 605 | C22 | C22×D4×D11 | 1 | 1 | yes | characteristic |
| 606 | C4 | — | 2 | 2 | no | — |
| 607 | C4 | — | 2 | 3 | no | — |
| 608 | C4 | — | 4 | 3 | no | — |
| 609 | C4 | — | 4 | 1 | no | — |
| 610 | C4 | — | 4 | 3 | no | — |
| 611 | C4 | — | 11 | 2 | no | — |
| 612 | C4 | — | 22 | 3 | no | — |
| 613 | C4 | — | 22 | 3 | no | — |
| 614 | C4 | — | 44 | 1 | no | — |
| 615 | C4 | — | 44 | 3 | no | — |
| 616 | C4 | C2×#66972 | 1 | 6 | yes | — |
| 617 | C4 | C2×#41×D11 | 1 | 1 | yes | characteristic |
| 618 | C4 | D11×2−1+4 | 1 | 1 | yes | characteristic |
| 619 | C2 | — | 22 | 2 | no | — |
| 620 | C2 | — | 44 | 2 | no | — |
| 621 | C2 | — | 88 | 3 | no | — |
| 622 | C2 | D11×#548 | 1 | 1 | yes | characteristic |
| 623 | C2 | C22×#66972 | 1 | 1 | yes | characteristic |
| 624 | C2 | #13083388 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13082216 | C2 | semidirect |
| 2. Q8×#4343 | C2 | semidirect |
| 3. #13081310 | C2 | semidirect |
| 4. #13081305 | C2 | semidirect |
| 5. #13081287 | C2 | semidirect |
| 6. #13081275 | C2 | semidirect |
| 7. #13081270 | C2 | semidirect |
| 8. #13081254 | C2 | semidirect |
| 9. #13081252 | C2 | semidirect |
| 10. #13078940 | C2 | semidirect |
| 11. #13078407 | C2 | semidirect |
| 12. #13078074 | C2 | semidirect |
| 13. C8×Q8×D11 | C2 | semidirect |
| 14. C4×#66972 | C2 | semidirect |
| 15. C11×#3363 | C2 | semidirect |
| 174. #4343 | #41 | semidirect |
| 243. #3363 | D11 | semidirect |
| 261. Q8×C11 | #135 | semidirect |
| 550. C11 | #61303 | semidirect |
| 560. Q8 | #66972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13082216 | 2 |
| Q8×#4343 | 2 |
| #13081310 | 2 |
| #13081305 | 2 |
| #13081287 | 2 |
| #13081275 | 2 |
| #13081270 | 2 |
| #13081254 | 2 |
| #13081252 | 2 |
| #13078940 | 2 |
| #13078407 | 2 |
| #13078074 | 2 |
| C8×Q8×D11 | 2 |
| C4×#66972 | 2 |
| C11×#3363 | 2 |
| #61303 | 11 |