← #14911581
Subgroups — #14911581
Order 2816.
462 conjugacy classes of subgroups.
The subgroup lattice has 444 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13081620 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13081507 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #13070861 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13070860 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #13070842 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #13070782 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #13070781 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #13070756 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #13070664 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #13070664 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #13070523 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #13070487 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #13070485 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | Q32×Dic11 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | C11×#2209 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #10623252 | — | 2 | 1 | no | — |
| 17 | #10623100 | — | 2 | 1 | no | — |
| 18 | C2×C11×Q32 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C11×Q32 | C22 | 1 | 1 | yes | characteristic |
| 20 | C11×#494 | C22 | 1 | 1 | yes | characteristic |
| 21 | C4×C11×Q16 | C22 | 1 | 1 | yes | characteristic |
| 22 | Q16×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 23 | Q16×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 24 | Q16×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 25 | Q16×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 26 | #10622795 | — | 2 | 1 | no | — |
| 27 | #10622795 | — | 2 | 1 | no | — |
| 28 | #10622794 | C22 | 1 | 1 | yes | characteristic |
| 29 | #10622794 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#66893 | C22 | 1 | 1 | yes | characteristic |
| 31 | #10622703 | — | 2 | 1 | no | — |
| 32 | #10622635 | — | 2 | 1 | no | — |
| 33 | #10622491 | C22 | 1 | 1 | yes | characteristic |
| 34 | #10622487 | C22 | 1 | 1 | yes | characteristic |
| 35 | #10622412 | — | 2 | 1 | no | — |
| 36 | #10622404 | — | 2 | 1 | no | — |
| 37 | C4×Dic44 | C22 | 1 | 1 | yes | characteristic |
| 38 | #10622296 | C22 | 1 | 1 | yes | characteristic |
| 39 | C8×Dic22 | C22 | 1 | 1 | yes | characteristic |
| 40 | C11×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 41 | C11×#358 | C22 | 1 | 1 | yes | characteristic |
| 42 | C11×#358 | C22 | 1 | 1 | yes | characteristic |
| 43 | #10622202 | C22 | 1 | 1 | yes | characteristic |
| 44 | #10622202 | C22 | 1 | 1 | yes | characteristic |
| 45 | #10622202 | C22 | 1 | 1 | yes | characteristic |
| 46 | #10622202 | C22 | 1 | 1 | yes | characteristic |
| 47 | #10622202 | C22 | 1 | 1 | yes | characteristic |
| 48 | #10622143 | C22 | 1 | 1 | yes | characteristic |
| 49 | #10622142 | C22 | 1 | 1 | yes | characteristic |
| 50 | #10622141 | C22 | 1 | 1 | yes | characteristic |
| 51 | #10622141 | C22 | 1 | 1 | yes | characteristic |
| 52 | #10622140 | C22 | 1 | 1 | yes | characteristic |
| 53 | Dic11⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 54 | Dic11⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 55 | C16×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 56 | #10622130 | C22 | 1 | 1 | yes | characteristic |
| 57 | #10622128 | C22 | 1 | 1 | yes | characteristic |
| 58 | #10622099 | C22 | 1 | 1 | yes | characteristic |
| 59 | C2×C11×Q16 | — | 2 | 1 | no | — |
| 60 | C2×C11×Q16 | C23 | 1 | 1 | yes | characteristic |
| 61 | C2×C11×Q16 | C23 | 1 | 1 | yes | characteristic |
| 62 | C2×C11×Q16 | C23 | 1 | 1 | yes | characteristic |
| 63 | C11×C4⋊Q8 | — | 2 | 1 | no | — |
| 64 | C4×Q8×C11 | — | 2 | 1 | no | — |
| 65 | Q8×Dic11 | — | 2 | 1 | no | — |
| 66 | Q8×Dic11 | — | 2 | 1 | no | — |
| 67 | Q8×Dic11 | — | 2 | 1 | no | — |
| 68 | Q8×Dic11 | — | 2 | 1 | no | — |
| 69 | #66997 | — | 2 | 1 | no | — |
| 70 | #66997 | — | 2 | 1 | no | — |
| 71 | C2×#4326 | — | 2 | 1 | no | — |
| 72 | C2×#4326 | — | 2 | 1 | no | — |
| 73 | C2×Dic44 | C23 | 1 | 1 | yes | characteristic |
| 74 | #66943 | — | 2 | 1 | no | — |
| 75 | #66943 | — | 4 | 1 | no | — |
| 76 | #66943 | — | 4 | 1 | no | — |
| 77 | #66942 | — | 4 | 1 | no | — |
| 78 | #66942 | — | 4 | 1 | no | — |
| 79 | #66941 | — | 2 | 1 | no | — |
| 80 | #66941 | — | 4 | 1 | no | — |
| 81 | #66940 | — | 4 | 1 | no | — |
| 82 | #66923 | — | 2 | 1 | no | — |
| 83 | #66923 | — | 4 | 1 | no | — |
| 84 | C4×Dic22 | — | 2 | 1 | no | — |
| 85 | C4×Dic22 | — | 4 | 1 | no | — |
| 86 | C4×Dic22 | D4 | 1 | 1 | yes | characteristic |
| 87 | C11×Q32 | — | 2 | 2 | no | — |
| 88 | C11×Q32 | — | 2 | 2 | no | — |
| 89 | C2×C11×C16 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C11×C16 | C23 | 1 | 1 | yes | characteristic |
| 91 | C11×#107 | C23 | 1 | 1 | yes | characteristic |
| 92 | C11×#103 | — | 2 | 1 | no | — |
| 93 | C4×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 94 | #66899 | — | 2 | 1 | no | — |
| 95 | #66899 | — | 2 | 1 | no | — |
| 96 | #66899 | — | 2 | 1 | no | — |
| 97 | #66899 | — | 2 | 1 | no | — |
| 98 | #66893 | — | 2 | 2 | no | — |
| 99 | #66882 | C23 | 1 | 1 | yes | characteristic |
| 100 | #66882 | C23 | 1 | 1 | yes | characteristic |
| 101 | #66882 | C23 | 1 | 1 | yes | characteristic |
| 102 | #66881 | — | 2 | 1 | no | — |
| 103 | #66880 | — | 2 | 1 | no | — |
| 104 | Dic11⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 105 | Dic11⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 106 | C8×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 107 | C8×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C11⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×C11⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 110 | #66872 | — | 2 | 1 | no | — |
| 111 | #66871 | — | 2 | 1 | no | — |
| 112 | C4⋊(C11⋊C8) | D4 | 1 | 1 | yes | characteristic |
| 113 | #33941 | — | 11 | 1 | no | maximal, Sylow |
| 114 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 115 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 116 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 117 | C2×Dic22 | — | 2 | 1 | no | — |
| 118 | C2×Dic22 | — | 4 | 1 | no | — |
| 119 | C2×Dic22 | D8 | 1 | 1 | yes | characteristic |
| 120 | C11×Q16 | — | 2 | 1 | no | — |
| 121 | C11×Q16 | — | 2 | 1 | no | — |
| 122 | C11×Q16 | — | 2 | 1 | no | — |
| 123 | C11×Q16 | — | 2 | 1 | no | — |
| 124 | C11×Q16 | — | 2 | 1 | no | — |
| 125 | C11×Q16 | — | 8 | 1 | no | — |
| 126 | C11×Q16 | #41 | 1 | 2 | yes | — |
| 127 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C2×C8×C11 | C24 | 1 | 1 | yes | characteristic |
| 129 | C11×C4⋊C4 | — | 2 | 1 | no | — |
| 130 | C11×C4⋊C4 | — | 4 | 1 | no | — |
| 131 | C11×C4⋊C4 | — | 4 | 1 | no | — |
| 132 | C11×C4⋊C4 | — | 4 | 1 | no | — |
| 133 | C42×C11 | — | 4 | 1 | no | — |
| 134 | C42×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | #4326 | — | 8 | 1 | no | — |
| 136 | #4326 | — | 8 | 1 | no | — |
| 137 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 138 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 139 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 140 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 141 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 142 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 143 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 144 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 145 | C4⋊Dic11 | D8 | 1 | 1 | yes | characteristic |
| 146 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 147 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 148 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 149 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 150 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 151 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 152 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 153 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 154 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 155 | Dic11⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 156 | Dic11⋊C4 | D8 | 1 | 1 | yes | characteristic |
| 157 | C4×Dic11 | — | 4 | 1 | no | — |
| 158 | C4×Dic11 | — | 4 | 1 | no | — |
| 159 | C4×Dic11 | — | 4 | 1 | no | — |
| 160 | C4×Dic11 | — | 4 | 1 | no | — |
| 161 | C4×Dic11 | — | 4 | 1 | no | — |
| 162 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 163 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×C11⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C11⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 166 | Dic44 | — | 2 | 1 | no | — |
| 167 | Dic44 | — | 2 | 1 | no | — |
| 168 | C11×C16 | — | 2 | 1 | no | — |
| 169 | C11×C16 | — | 2 | 1 | no | — |
| 170 | C11⋊C16 | — | 2 | 1 | no | — |
| 171 | C11⋊C16 | — | 2 | 1 | no | — |
| 172 | #3395 | — | 11 | 1 | no | — |
| 173 | #3383 | — | 11 | 1 | no | — |
| 174 | #2245 | — | 11 | 1 | no | — |
| 175 | #2245 | — | 11 | 1 | no | — |
| 176 | #2241 | — | 11 | 1 | no | — |
| 177 | #2229 | — | 11 | 1 | no | — |
| 178 | #2229 | — | 11 | 1 | no | — |
| 179 | #2225 | — | 11 | 1 | no | — |
| 180 | #2209 | — | 11 | 1 | no | — |
| 181 | #2209 | — | 11 | 1 | no | — |
| 182 | #2209 | D11 | 1 | 1 | yes | characteristic |
| 183 | #2183 | — | 11 | 1 | no | — |
| 184 | #2176 | — | 11 | 1 | no | — |
| 185 | #2176 | — | 11 | 1 | no | — |
| 186 | C4×Q32 | — | 11 | 1 | no | — |
| 187 | Q8×C11 | — | 2 | 2 | no | — |
| 188 | Q8×C11 | — | 4 | 1 | no | — |
| 189 | Q8×C11 | — | 4 | 1 | no | — |
| 190 | Q8×C11 | — | 4 | 1 | no | — |
| 191 | Q8×C11 | — | 4 | 1 | no | — |
| 192 | Q8×C11 | — | 4 | 1 | no | — |
| 193 | C2×C4×C11 | — | 4 | 1 | no | — |
| 194 | C2×C4×C11 | — | 4 | 1 | no | — |
| 195 | C2×C4×C11 | — | 4 | 1 | no | — |
| 196 | C2×C4×C11 | — | 4 | 1 | no | — |
| 197 | C2×C4×C11 | C2×D8 | 1 | 1 | yes | characteristic |
| 198 | C2×C4×C11 | C2×D8 | 1 | 1 | yes | characteristic |
| 199 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 200 | C2×Dic11 | — | 4 | 1 | no | — |
| 201 | C2×Dic11 | — | 4 | 1 | no | — |
| 202 | C2×Dic11 | — | 4 | 1 | no | — |
| 203 | C2×Dic11 | — | 4 | 1 | no | — |
| 204 | C2×Dic11 | C2×D8 | 1 | 1 | yes | characteristic |
| 205 | C2×Dic11 | C2×D8 | 1 | 1 | yes | characteristic |
| 206 | C2×Dic11 | C2×D8 | 1 | 1 | yes | characteristic |
| 207 | C2×Dic11 | C2×D8 | 1 | 1 | yes | characteristic |
| 208 | Dic22 | — | 2 | 2 | no | — |
| 209 | Dic22 | — | 4 | 1 | no | — |
| 210 | Dic22 | — | 4 | 1 | no | — |
| 211 | Dic22 | — | 8 | 2 | no | — |
| 212 | C8×C11 | — | 2 | 1 | no | — |
| 213 | C8×C11 | C2×#41 | 1 | 1 | yes | characteristic |
| 214 | C8×C11 | 2−1+4 | 1 | 1 | yes | characteristic |
| 215 | C11⋊C8 | — | 2 | 1 | no | — |
| 216 | C11⋊C8 | — | 2 | 1 | no | — |
| 217 | #557 | — | 22 | 1 | no | — |
| 218 | #557 | — | 22 | 1 | no | — |
| 219 | C2×Q32 | — | 11 | 1 | no | — |
| 220 | C2×Q32 | C2×D11 | 1 | 1 | yes | characteristic |
| 221 | C2×Q32 | C2×D11 | 1 | 1 | yes | characteristic |
| 222 | #500 | — | 11 | 1 | no | — |
| 223 | #499 | — | 11 | 1 | no | — |
| 224 | #499 | — | 11 | 1 | no | — |
| 225 | #494 | — | 11 | 1 | no | — |
| 226 | #494 | — | 11 | 1 | no | — |
| 227 | #494 | C2×D11 | 1 | 1 | yes | characteristic |
| 228 | #479 | — | 22 | 1 | no | — |
| 229 | #479 | — | 22 | 1 | no | — |
| 230 | #475 | — | 22 | 1 | no | — |
| 231 | #462 | — | 22 | 1 | no | — |
| 232 | #462 | — | 22 | 1 | no | — |
| 233 | #462 | — | 22 | 1 | no | — |
| 234 | C8×Q8 | — | 11 | 1 | no | — |
| 235 | C4×Q16 | — | 11 | 1 | no | — |
| 236 | C4×Q16 | — | 11 | 1 | no | — |
| 237 | C4×Q16 | — | 11 | 1 | no | — |
| 238 | C4×Q16 | — | 11 | 1 | no | — |
| 239 | C4×Q16 | — | 11 | 1 | no | — |
| 240 | C4×Q16 | C2×D11 | 1 | 1 | yes | characteristic |
| 241 | #367 | — | 11 | 1 | no | — |
| 242 | #367 | — | 11 | 1 | no | — |
| 243 | #366 | — | 11 | 1 | no | — |
| 244 | C4⋊C16 | — | 11 | 1 | no | — |
| 245 | C4⋊C16 | — | 11 | 1 | no | — |
| 246 | C4⋊C16 | C2×D11 | 1 | 1 | yes | characteristic |
| 247 | #358 | — | 11 | 1 | no | — |
| 248 | #358 | — | 11 | 1 | no | — |
| 249 | #358 | — | 11 | 1 | no | — |
| 250 | #358 | — | 11 | 1 | no | — |
| 251 | #358 | — | 11 | 1 | no | — |
| 252 | #358 | — | 11 | 1 | no | — |
| 253 | #358 | — | 11 | 1 | no | — |
| 254 | #358 | — | 11 | 1 | no | — |
| 255 | #358 | C2×D11 | 1 | 1 | yes | characteristic |
| 256 | #358 | C2×D11 | 1 | 1 | yes | characteristic |
| 257 | #346 | — | 11 | 1 | no | — |
| 258 | #346 | — | 11 | 1 | no | — |
| 259 | C4×C16 | — | 11 | 1 | no | — |
| 260 | C22×C11 | C22×D8 | 1 | 1 | yes | characteristic |
| 261 | C4×C11 | — | 2 | 1 | no | — |
| 262 | C4×C11 | — | 2 | 1 | no | — |
| 263 | C4×C11 | — | 4 | 2 | no | — |
| 264 | C4×C11 | — | 8 | 1 | no | — |
| 265 | C4×C11 | — | 8 | 1 | no | — |
| 266 | C4×C11 | — | 8 | 1 | no | — |
| 267 | C4×C11 | #548 | 1 | 1 | yes | characteristic |
| 268 | C4×C11 | #577 | 1 | 1 | yes | characteristic |
| 269 | Dic11 | — | 2 | 1 | no | — |
| 270 | Dic11 | — | 2 | 1 | no | — |
| 271 | Dic11 | — | 2 | 1 | no | — |
| 272 | Dic11 | — | 8 | 1 | no | — |
| 273 | Dic11 | — | 8 | 1 | no | — |
| 274 | Dic11 | — | 8 | 1 | no | — |
| 275 | Dic11 | — | 8 | 1 | no | — |
| 276 | Dic11 | #510 | 1 | 2 | yes | — |
| 277 | C2×Q16 | — | 2 | 1 | no | — |
| 278 | C2×Q16 | — | 11 | 1 | no | — |
| 279 | C2×Q16 | — | 22 | 1 | no | — |
| 280 | C2×Q16 | — | 22 | 1 | no | — |
| 281 | C2×Q16 | C22×D11 | 1 | 1 | yes | characteristic |
| 282 | C2×Q16 | C22×D11 | 1 | 1 | yes | characteristic |
| 283 | C2×Q16 | C22×D11 | 1 | 1 | yes | characteristic |
| 284 | C4⋊Q8 | — | 2 | 1 | no | — |
| 285 | C4⋊Q8 | — | 22 | 1 | no | — |
| 286 | C4⋊Q8 | — | 22 | 1 | no | — |
| 287 | C4⋊Q8 | — | 22 | 1 | no | — |
| 288 | C4⋊Q8 | — | 44 | 1 | no | — |
| 289 | #125 | — | 22 | 1 | no | — |
| 290 | #125 | — | 22 | 1 | no | — |
| 291 | #125 | — | 44 | 1 | no | — |
| 292 | #125 | — | 44 | 1 | no | — |
| 293 | #125 | — | 44 | 1 | no | — |
| 294 | #125 | — | 44 | 1 | no | — |
| 295 | #125 | — | 44 | 1 | no | — |
| 296 | C4×Q8 | — | 2 | 1 | no | — |
| 297 | C4×Q8 | — | 11 | 1 | no | — |
| 298 | C4×Q8 | — | 22 | 1 | no | — |
| 299 | C4×Q8 | — | 22 | 1 | no | — |
| 300 | C4×Q8 | — | 22 | 1 | no | — |
| 301 | C4×Q8 | — | 22 | 1 | no | — |
| 302 | C4×Q8 | — | 22 | 1 | no | — |
| 303 | C4×Q8 | — | 44 | 1 | no | — |
| 304 | C4×Q8 | — | 44 | 1 | no | — |
| 305 | Q32 | — | 2 | 2 | no | — |
| 306 | Q32 | — | 2 | 2 | no | — |
| 307 | Q32 | — | 22 | 2 | no | — |
| 308 | C2×C16 | — | 11 | 1 | no | — |
| 309 | C2×C16 | — | 11 | 1 | no | — |
| 310 | C2×C16 | C22×D11 | 1 | 1 | yes | characteristic |
| 311 | C2×C16 | C22×D11 | 1 | 1 | yes | characteristic |
| 312 | #107 | — | 11 | 1 | no | — |
| 313 | #107 | — | 11 | 1 | no | — |
| 314 | #107 | — | 11 | 1 | no | — |
| 315 | #107 | — | 22 | 1 | no | — |
| 316 | #107 | C22×D11 | 1 | 1 | yes | characteristic |
| 317 | #106 | — | 22 | 1 | no | — |
| 318 | #106 | — | 22 | 1 | no | — |
| 319 | C4⋊C8 | — | 11 | 1 | no | — |
| 320 | C4⋊C8 | — | 11 | 1 | no | — |
| 321 | C4⋊C8 | — | 11 | 1 | no | — |
| 322 | #103 | — | 2 | 1 | no | — |
| 323 | #103 | — | 22 | 1 | no | — |
| 324 | #103 | — | 22 | 1 | no | — |
| 325 | #103 | — | 22 | 1 | no | — |
| 326 | #103 | — | 22 | 1 | no | — |
| 327 | #103 | — | 22 | 1 | no | — |
| 328 | C4×C8 | — | 11 | 1 | no | — |
| 329 | C4×C8 | — | 11 | 1 | no | — |
| 330 | C4×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 331 | C2×C11 | #3358 | 1 | 1 | yes | characteristic |
| 332 | C2×C11 | C2×#510 | 1 | 1 | yes | characteristic |
| 333 | C2×C11 | #3417 | 1 | 1 | yes | characteristic |
| 334 | C2×Q8 | — | 2 | 1 | no | — |
| 335 | C2×Q8 | — | 2 | 1 | no | — |
| 336 | C2×Q8 | — | 2 | 1 | no | — |
| 337 | C2×Q8 | — | 11 | 1 | no | — |
| 338 | C2×Q8 | — | 22 | 1 | no | — |
| 339 | C2×Q8 | — | 44 | 1 | no | — |
| 340 | Q16 | — | 2 | 1 | no | — |
| 341 | Q16 | — | 2 | 1 | no | — |
| 342 | Q16 | — | 2 | 1 | no | — |
| 343 | Q16 | — | 2 | 1 | no | — |
| 344 | Q16 | — | 2 | 1 | no | — |
| 345 | Q16 | — | 8 | 1 | no | — |
| 346 | Q16 | — | 22 | 1 | no | — |
| 347 | Q16 | — | 22 | 1 | no | — |
| 348 | Q16 | — | 88 | 1 | no | — |
| 349 | Q16 | — | 88 | 1 | no | — |
| 350 | Q16 | #4341 | 1 | 2 | yes | — |
| 351 | C2×C8 | — | 11 | 1 | no | — |
| 352 | C2×C8 | — | 11 | 1 | no | — |
| 353 | C2×C8 | D4×D11 | 1 | 1 | yes | characteristic |
| 354 | C2×C8 | C23×D11 | 1 | 1 | yes | characteristic |
| 355 | C4⋊C4 | — | 2 | 1 | no | — |
| 356 | C4⋊C4 | — | 4 | 1 | no | — |
| 357 | C4⋊C4 | — | 4 | 1 | no | — |
| 358 | C4⋊C4 | — | 4 | 1 | no | — |
| 359 | C4⋊C4 | — | 11 | 1 | no | — |
| 360 | C4⋊C4 | — | 11 | 1 | no | — |
| 361 | C4⋊C4 | — | 11 | 1 | no | — |
| 362 | C4⋊C4 | — | 22 | 1 | no | — |
| 363 | C4⋊C4 | — | 22 | 1 | no | — |
| 364 | C4⋊C4 | — | 22 | 1 | no | — |
| 365 | C4⋊C4 | — | 44 | 1 | no | — |
| 366 | C4⋊C4 | — | 44 | 1 | no | — |
| 367 | C4⋊C4 | — | 44 | 1 | no | — |
| 368 | C4⋊C4 | — | 44 | 1 | no | — |
| 369 | C4⋊C4 | — | 44 | 1 | no | — |
| 370 | C4⋊C4 | — | 44 | 1 | no | — |
| 371 | C4⋊C4 | — | 44 | 1 | no | — |
| 372 | C4⋊C4 | — | 44 | 1 | no | — |
| 373 | C4⋊C4 | — | 44 | 1 | no | — |
| 374 | C4⋊C4 | — | 44 | 1 | no | — |
| 375 | C4⋊C4 | — | 44 | 1 | no | — |
| 376 | C4⋊C4 | — | 44 | 1 | no | — |
| 377 | C4⋊C4 | — | 44 | 1 | no | — |
| 378 | C4⋊C4 | — | 44 | 1 | no | — |
| 379 | C42 | — | 4 | 1 | no | — |
| 380 | C42 | — | 11 | 1 | no | — |
| 381 | C42 | — | 11 | 1 | no | — |
| 382 | C42 | — | 44 | 1 | no | — |
| 383 | C42 | — | 44 | 1 | no | — |
| 384 | C42 | — | 44 | 1 | no | — |
| 385 | C42 | — | 44 | 1 | no | — |
| 386 | C42 | — | 44 | 1 | no | — |
| 387 | C42 | D4×D11 | 1 | 1 | yes | characteristic |
| 388 | C16 | — | 2 | 1 | no | — |
| 389 | C16 | — | 2 | 1 | no | — |
| 390 | C16 | — | 22 | 1 | no | — |
| 391 | C16 | — | 22 | 1 | no | — |
| 392 | C11 | #33941 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 393 | Q8 | — | 2 | 2 | no | — |
| 394 | Q8 | — | 4 | 1 | no | — |
| 395 | Q8 | — | 4 | 1 | no | — |
| 396 | Q8 | — | 4 | 1 | no | — |
| 397 | Q8 | — | 4 | 1 | no | — |
| 398 | Q8 | — | 4 | 1 | no | — |
| 399 | Q8 | — | 22 | 2 | no | — |
| 400 | Q8 | — | 44 | 1 | no | — |
| 401 | Q8 | — | 44 | 1 | no | — |
| 402 | Q8 | — | 88 | 2 | no | — |
| 403 | C2×C4 | — | 4 | 1 | no | — |
| 404 | C2×C4 | — | 4 | 1 | no | — |
| 405 | C2×C4 | — | 4 | 1 | no | — |
| 406 | C2×C4 | — | 4 | 1 | no | — |
| 407 | C2×C4 | — | 11 | 1 | no | — |
| 408 | C2×C4 | — | 11 | 1 | no | — |
| 409 | C2×C4 | — | 11 | 1 | no | — |
| 410 | C2×C4 | — | 11 | 1 | no | — |
| 411 | C2×C4 | — | 44 | 1 | no | — |
| 412 | C2×C4 | — | 44 | 1 | no | — |
| 413 | C2×C4 | — | 44 | 1 | no | — |
| 414 | C2×C4 | — | 44 | 1 | no | — |
| 415 | C2×C4 | D8×D11 | 1 | 1 | yes | characteristic |
| 416 | C2×C4 | D8×D11 | 1 | 1 | yes | characteristic |
| 417 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 418 | C8 | — | 2 | 1 | no | — |
| 419 | C8 | — | 22 | 1 | no | — |
| 420 | C8 | — | 22 | 1 | no | — |
| 421 | C8 | C2×#4341 | 1 | 1 | yes | characteristic |
| 422 | C8 | #67043 | 1 | 1 | yes | characteristic |
| 423 | C22 | C2×D8×D11 | 1 | 1 | yes | characteristic |
| 424 | C4 | — | 2 | 1 | no | — |
| 425 | C4 | — | 2 | 1 | no | — |
| 426 | C4 | — | 4 | 2 | no | — |
| 427 | C4 | — | 8 | 1 | no | — |
| 428 | C4 | — | 8 | 1 | no | — |
| 429 | C4 | — | 8 | 1 | no | — |
| 430 | C4 | — | 11 | 2 | no | — |
| 431 | C4 | — | 22 | 1 | no | — |
| 432 | C4 | — | 22 | 1 | no | — |
| 433 | C4 | — | 22 | 1 | no | — |
| 434 | C4 | — | 88 | 1 | no | — |
| 435 | C4 | — | 88 | 1 | no | — |
| 436 | C4 | — | 88 | 1 | no | — |
| 437 | C4 | — | 88 | 1 | no | — |
| 438 | C4 | #10623129 | 1 | 1 | yes | characteristic |
| 439 | C4 | #10623306 | 1 | 1 | yes | characteristic |
| 440 | C2 | #13081246 | 1 | 1 | yes | characteristic |
| 441 | C2 | D11×#510 | 1 | 1 | yes | characteristic |
| 442 | C2 | #13081765 | 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