← #14803561
Subgroups — #14803561
Order 2816.
680 conjugacy classes of subgroups.
The subgroup lattice has 640 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13078994 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13078418 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#10622795 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #13077560 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #13069983 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #13069978 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #13069883 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #13069881 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #13069528 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #13069458 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #13069388 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #13069273 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #13069271 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #101×Dic11 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | C11×#1979 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | C22×C11×Q16 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×Q8×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#66997 | C22 | 1 | 1 | yes | characteristic |
| 19 | C22×#4326 | C22 | 1 | 1 | yes | characteristic |
| 20 | #10623048 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C11×#108 | C22 | 1 | 1 | yes | characteristic |
| 22 | C11×#419 | C22 | 1 | 1 | yes | characteristic |
| 23 | C11×#419 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C11×#101 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C11×#101 | C22 | 1 | 1 | yes | characteristic |
| 26 | C11×#405 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#66900 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#66900 | C22 | 1 | 1 | yes | characteristic |
| 29 | #10622838 | C22 | 1 | 1 | yes | characteristic |
| 30 | #10622838 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#66899 | C22 | 1 | 1 | yes | characteristic |
| 32 | #10622795 | — | 2 | 1 | no | — |
| 33 | #10622795 | — | 2 | 1 | no | — |
| 34 | #10622795 | — | 2 | 1 | no | — |
| 35 | #10622795 | — | 2 | 1 | no | — |
| 36 | C2×#66888 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#66888 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#66886 | C22 | 1 | 1 | yes | characteristic |
| 39 | #10622735 | C22 | 1 | 1 | yes | characteristic |
| 40 | #10622734 | C22 | 1 | 1 | yes | characteristic |
| 41 | #10622733 | C22 | 1 | 1 | yes | characteristic |
| 42 | #10622731 | C22 | 1 | 1 | yes | characteristic |
| 43 | M16×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 44 | M16×Dic11 | C22 | 1 | 1 | yes | characteristic |
| 45 | C2×#66880 | C22 | 1 | 1 | yes | characteristic |
| 46 | #10622715 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×Dic11⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 48 | #10622617 | C22 | 1 | 1 | yes | characteristic |
| 49 | #10622612 | C22 | 1 | 1 | yes | characteristic |
| 50 | #10622608 | C22 | 1 | 1 | yes | characteristic |
| 51 | #10622412 | — | 2 | 1 | no | — |
| 52 | #10622410 | — | 2 | 1 | no | — |
| 53 | #10622410 | — | 2 | 1 | no | — |
| 54 | #10622409 | — | 2 | 1 | no | — |
| 55 | #10622407 | — | 2 | 1 | no | — |
| 56 | #10622405 | — | 2 | 1 | no | — |
| 57 | #10622405 | — | 2 | 1 | no | — |
| 58 | #10622404 | — | 2 | 1 | no | — |
| 59 | #10622314 | — | 2 | 1 | no | — |
| 60 | #10622314 | — | 2 | 1 | no | — |
| 61 | #10622292 | — | 2 | 1 | no | — |
| 62 | C8×Dic22 | — | 2 | 1 | no | — |
| 63 | #10622196 | C22 | 1 | 1 | yes | characteristic |
| 64 | #10622192 | C22 | 1 | 1 | yes | characteristic |
| 65 | #10622192 | C22 | 1 | 1 | yes | characteristic |
| 66 | #10622190 | C22 | 1 | 1 | yes | characteristic |
| 67 | C22×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 68 | C22×Q8×C11 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×Dic22 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×C11×Q16 | — | 2 | 2 | no | — |
| 71 | C2×C11×Q16 | — | 2 | 1 | no | — |
| 72 | C2×C11×Q16 | — | 2 | 1 | no | — |
| 73 | C2×C11×Q16 | — | 4 | 1 | no | — |
| 74 | C2×C11×M16 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×C11×M16 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×C11×M16 | C23 | 1 | 1 | yes | characteristic |
| 77 | C22×C8×C11 | C23 | 1 | 1 | yes | characteristic |
| 78 | C11×#117 | C23 | 1 | 1 | yes | characteristic |
| 79 | Q8×Dic11 | — | 2 | 1 | no | — |
| 80 | Q8×Dic11 | — | 2 | 1 | no | — |
| 81 | Q8×Dic11 | — | 2 | 1 | no | — |
| 82 | Q8×Dic11 | — | 2 | 1 | no | — |
| 83 | #66997 | — | 2 | 1 | no | — |
| 84 | #66997 | — | 2 | 1 | no | — |
| 85 | #66997 | — | 2 | 1 | no | — |
| 86 | #66997 | — | 2 | 1 | no | — |
| 87 | C2×#4326 | — | 2 | 2 | no | — |
| 88 | C2×#4326 | — | 2 | 1 | no | — |
| 89 | C2×#4326 | — | 2 | 1 | no | — |
| 90 | C2×#4326 | — | 4 | 1 | no | — |
| 91 | #66979 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C4⋊Dic11 | — | 2 | 1 | no | — |
| 93 | C2×C4⋊Dic11 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×Dic11⋊C4 | — | 2 | 1 | no | — |
| 95 | C2×Dic11⋊C4 | — | 2 | 1 | no | — |
| 96 | C2×C4×Dic11 | — | 2 | 1 | no | — |
| 97 | C2×C4×Dic11 | C23 | 1 | 1 | yes | characteristic |
| 98 | C2×#4318 | C23 | 1 | 1 | yes | characteristic |
| 99 | C2×#4318 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×#4318 | C23 | 1 | 1 | yes | characteristic |
| 101 | C22×C11⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 102 | #66943 | D4 | 1 | 1 | yes | characteristic |
| 103 | #66943 | D4 | 1 | 1 | yes | characteristic |
| 104 | #66941 | D4 | 1 | 1 | yes | characteristic |
| 105 | #66941 | D4 | 1 | 1 | yes | characteristic |
| 106 | #66931 | — | 2 | 1 | no | — |
| 107 | #66931 | — | 2 | 1 | no | — |
| 108 | C4×Dic22 | — | 2 | 1 | no | — |
| 109 | C4×Dic22 | — | 2 | 1 | no | — |
| 110 | C11×#108 | — | 4 | 1 | no | — |
| 111 | C11×#103 | — | 2 | 1 | no | — |
| 112 | C11×#103 | — | 2 | 1 | no | — |
| 113 | C11×#103 | — | 2 | 1 | no | — |
| 114 | C11×#103 | — | 2 | 1 | no | — |
| 115 | C11×#101 | — | 2 | 2 | no | — |
| 116 | C11×#101 | — | 2 | 2 | no | — |
| 117 | C11×#97 | — | 2 | 1 | no | — |
| 118 | C4×C8×C11 | — | 2 | 1 | no | — |
| 119 | #66900 | — | 2 | 2 | no | — |
| 120 | #66900 | — | 4 | 1 | no | — |
| 121 | #66899 | — | 2 | 1 | no | — |
| 122 | #66899 | — | 2 | 1 | no | — |
| 123 | #66899 | — | 2 | 1 | no | — |
| 124 | #66899 | — | 2 | 1 | no | — |
| 125 | #66899 | — | 2 | 1 | no | — |
| 126 | #66899 | — | 2 | 1 | no | — |
| 127 | #66888 | — | 2 | 2 | no | — |
| 128 | #66888 | — | 4 | 1 | no | — |
| 129 | #66886 | — | 4 | 1 | no | — |
| 130 | #66882 | — | 2 | 1 | no | — |
| 131 | #66881 | — | 2 | 1 | no | — |
| 132 | #66880 | — | 2 | 1 | no | — |
| 133 | #66880 | — | 2 | 1 | no | — |
| 134 | #66880 | — | 2 | 1 | no | — |
| 135 | #66880 | — | 2 | 1 | no | — |
| 136 | #66879 | — | 2 | 1 | no | — |
| 137 | #66879 | — | 2 | 1 | no | — |
| 138 | #66879 | — | 2 | 1 | no | — |
| 139 | Dic11⋊C8 | — | 2 | 1 | no | — |
| 140 | Dic11⋊C8 | — | 2 | 1 | no | — |
| 141 | Dic11⋊C8 | — | 2 | 1 | no | — |
| 142 | Dic11⋊C8 | — | 2 | 1 | no | — |
| 143 | Dic11⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 144 | Dic11⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 145 | Dic11⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 146 | Dic11⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 147 | C8×Dic11 | — | 2 | 1 | no | — |
| 148 | C8×Dic11 | — | 2 | 1 | no | — |
| 149 | C8×Dic11 | — | 2 | 1 | no | — |
| 150 | #66874 | — | 2 | 1 | no | — |
| 151 | #66874 | — | 2 | 1 | no | — |
| 152 | #66872 | — | 2 | 1 | no | — |
| 153 | #66871 | — | 2 | 1 | no | — |
| 154 | C4⋊(C11⋊C8) | — | 2 | 1 | no | — |
| 155 | C4⋊(C11⋊C8) | — | 2 | 1 | no | — |
| 156 | #25314 | — | 11 | 1 | no | maximal, Sylow |
| 157 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 158 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 159 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 160 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 161 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 162 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 163 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 164 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 165 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 166 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 167 | C2×Q8×C11 | — | 2 | 1 | no | — |
| 168 | C2×Q8×C11 | #41 | 1 | 2 | yes | — |
| 169 | C22×C4×C11 | — | 2 | 1 | no | — |
| 170 | C22×C4×C11 | — | 2 | 1 | no | — |
| 171 | C22×C4×C11 | C24 | 1 | 1 | yes | characteristic |
| 172 | C22×Dic11 | — | 2 | 1 | no | — |
| 173 | C22×Dic11 | — | 2 | 1 | no | — |
| 174 | C22×Dic11 | #41 | 1 | 1 | yes | characteristic |
| 175 | C22×Dic11 | #41 | 1 | 1 | yes | characteristic |
| 176 | C2×Dic22 | — | 2 | 1 | no | — |
| 177 | C2×Dic22 | — | 2 | 1 | no | — |
| 178 | C2×Dic22 | — | 2 | 1 | no | — |
| 179 | C2×Dic22 | — | 2 | 1 | no | — |
| 180 | C2×Dic22 | — | 2 | 1 | no | — |
| 181 | C2×Dic22 | — | 2 | 1 | no | — |
| 182 | C2×Dic22 | — | 2 | 1 | no | — |
| 183 | C2×Dic22 | — | 2 | 1 | no | — |
| 184 | C11×Q16 | — | 4 | 2 | no | — |
| 185 | C11×Q16 | — | 4 | 2 | no | — |
| 186 | C11×M16 | — | 2 | 1 | no | — |
| 187 | C11×M16 | — | 2 | 1 | no | — |
| 188 | C11×M16 | — | 2 | 1 | no | — |
| 189 | C11×M16 | — | 2 | 1 | no | — |
| 190 | C11×M16 | — | 2 | 1 | no | — |
| 191 | C11×M16 | #41 | 1 | 2 | yes | — |
| 192 | C2×C8×C11 | — | 2 | 1 | no | — |
| 193 | C2×C8×C11 | — | 2 | 1 | no | — |
| 194 | C2×C8×C11 | — | 2 | 1 | no | — |
| 195 | C2×C8×C11 | — | 2 | 1 | no | — |
| 196 | C2×C8×C11 | — | 2 | 1 | no | — |
| 197 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C2×C8×C11 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C11×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C11×C22⋊C4 | — | 2 | 1 | no | — |
| 202 | C42×C11 | — | 2 | 1 | no | — |
| 203 | C22⋊Dic11 | — | 2 | 1 | no | — |
| 204 | #4326 | — | 4 | 2 | no | — |
| 205 | #4326 | — | 4 | 2 | no | — |
| 206 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 207 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 208 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 209 | C4⋊Dic11 | — | 2 | 1 | no | — |
| 210 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 211 | C4⋊Dic11 | — | 4 | 1 | no | — |
| 212 | C4⋊Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 213 | C4⋊Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | Dic11⋊C4 | — | 2 | 1 | no | — |
| 215 | Dic11⋊C4 | — | 2 | 1 | no | — |
| 216 | Dic11⋊C4 | — | 2 | 1 | no | — |
| 217 | Dic11⋊C4 | — | 2 | 1 | no | — |
| 218 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 219 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 220 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 221 | Dic11⋊C4 | — | 4 | 1 | no | — |
| 222 | C4×Dic11 | — | 2 | 1 | no | — |
| 223 | C4×Dic11 | — | 4 | 1 | no | — |
| 224 | C4×Dic11 | — | 4 | 1 | no | — |
| 225 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 227 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C4×Dic11 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | #4318 | — | 2 | 1 | no | — |
| 230 | #4318 | — | 2 | 1 | no | — |
| 231 | #4318 | — | 2 | 1 | no | — |
| 232 | #4318 | — | 2 | 1 | no | — |
| 233 | #4318 | — | 2 | 1 | no | — |
| 234 | #4318 | — | 2 | 1 | no | — |
| 235 | C2×C11⋊C8 | — | 2 | 1 | no | — |
| 236 | C2×C11⋊C8 | — | 2 | 1 | no | — |
| 237 | C2×C11⋊C8 | — | 2 | 1 | no | — |
| 238 | C2×C11⋊C8 | — | 2 | 1 | no | — |
| 239 | C2×C11⋊C8 | — | 2 | 1 | no | — |
| 240 | C2×C11⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 241 | C2×C11⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | #3139 | — | 11 | 1 | no | — |
| 243 | #3078 | — | 11 | 1 | no | — |
| 244 | C2×#462 | — | 11 | 1 | no | — |
| 245 | #2962 | — | 11 | 1 | no | — |
| 246 | #2064 | — | 11 | 1 | no | — |
| 247 | #2064 | — | 11 | 1 | no | — |
| 248 | #2047 | — | 11 | 1 | no | — |
| 249 | #2047 | — | 11 | 1 | no | — |
| 250 | #1979 | — | 11 | 1 | no | — |
| 251 | #1979 | D11 | 1 | 1 | yes | characteristic |
| 252 | #1966 | — | 11 | 1 | no | — |
| 253 | #1950 | — | 11 | 1 | no | — |
| 254 | #1930 | — | 11 | 1 | no | — |
| 255 | #1930 | — | 11 | 1 | no | — |
| 256 | C4×#101 | — | 11 | 1 | no | — |
| 257 | C23×C11 | C2×#41 | 1 | 1 | yes | characteristic |
| 258 | Q8×C11 | — | 2 | 2 | no | — |
| 259 | Q8×C11 | — | 2 | 2 | no | — |
| 260 | Q8×C11 | — | 4 | 1 | no | — |
| 261 | Q8×C11 | — | 4 | 1 | no | — |
| 262 | Q8×C11 | — | 4 | 1 | no | — |
| 263 | Q8×C11 | — | 4 | 1 | no | — |
| 264 | Q8×C11 | — | 4 | 1 | no | — |
| 265 | Q8×C11 | — | 4 | 1 | no | — |
| 266 | C2×C4×C11 | — | 2 | 1 | no | — |
| 267 | C2×C4×C11 | — | 2 | 1 | no | — |
| 268 | C2×C4×C11 | — | 2 | 2 | no | — |
| 269 | C2×C4×C11 | — | 4 | 1 | no | — |
| 270 | C2×C4×C11 | — | 4 | 1 | no | — |
| 271 | C2×C4×C11 | — | 4 | 1 | no | — |
| 272 | C2×C4×C11 | — | 4 | 1 | no | — |
| 273 | C2×C4×C11 | — | 4 | 1 | no | — |
| 274 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 275 | C2×C4×C11 | C22×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×C4×C11 | C2×#41 | 1 | 1 | yes | characteristic |
| 277 | C2×C4×C11 | C2×#41 | 1 | 1 | yes | characteristic |
| 278 | C2×C4×C11 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 279 | C2×C4×C11 | 2−1+4 | 1 | 1 | yes | characteristic |
| 280 | C2×Dic11 | — | 2 | 2 | no | — |
| 281 | C2×Dic11 | — | 2 | 1 | no | — |
| 282 | C2×Dic11 | — | 2 | 1 | no | — |
| 283 | C2×Dic11 | — | 4 | 1 | no | — |
| 284 | C2×Dic11 | — | 4 | 1 | no | — |
| 285 | C2×Dic11 | — | 4 | 1 | no | — |
| 286 | C2×Dic11 | — | 4 | 1 | no | — |
| 287 | C2×Dic11 | — | 4 | 1 | no | — |
| 288 | C2×Dic11 | — | 8 | 1 | no | — |
| 289 | C2×Dic11 | #121 | 1 | 1 | yes | characteristic |
| 290 | C2×Dic11 | #121 | 1 | 1 | yes | characteristic |
| 291 | C2×Dic11 | #121 | 1 | 1 | yes | characteristic |
| 292 | C2×Dic11 | #121 | 1 | 1 | yes | characteristic |
| 293 | Dic22 | — | 4 | 2 | no | — |
| 294 | Dic22 | — | 4 | 1 | no | — |
| 295 | Dic22 | — | 4 | 1 | no | — |
| 296 | Dic22 | — | 4 | 1 | no | — |
| 297 | Dic22 | — | 4 | 1 | no | — |
| 298 | Dic22 | — | 8 | 1 | no | — |
| 299 | C8×C11 | — | 2 | 1 | no | — |
| 300 | C8×C11 | — | 2 | 1 | no | — |
| 301 | C8×C11 | — | 2 | 2 | no | — |
| 302 | C8×C11 | — | 4 | 1 | no | — |
| 303 | C8×C11 | — | 4 | 1 | no | — |
| 304 | C11⋊C8 | — | 2 | 1 | no | — |
| 305 | C11⋊C8 | — | 2 | 1 | no | — |
| 306 | C11⋊C8 | — | 4 | 1 | no | — |
| 307 | C11⋊C8 | — | 4 | 1 | no | — |
| 308 | C11⋊C8 | — | 4 | 1 | no | — |
| 309 | C22×Q16 | — | 11 | 1 | no | — |
| 310 | C22×Q16 | C2×D11 | 1 | 1 | yes | characteristic |
| 311 | #533 | — | 11 | 1 | no | — |
| 312 | C2×C4⋊Q8 | — | 11 | 1 | no | — |
| 313 | C2×C4×Q8 | — | 11 | 1 | no | — |
| 314 | #491 | — | 22 | 1 | no | — |
| 315 | #491 | — | 22 | 1 | no | — |
| 316 | #487 | — | 22 | 1 | no | — |
| 317 | #487 | — | 22 | 1 | no | — |
| 318 | #479 | — | 22 | 1 | no | — |
| 319 | #479 | — | 22 | 1 | no | — |
| 320 | #477 | — | 22 | 1 | no | — |
| 321 | #475 | — | 22 | 1 | no | — |
| 322 | #462 | — | 22 | 1 | no | — |
| 323 | #462 | — | 22 | 1 | no | — |
| 324 | #462 | — | 22 | 1 | no | — |
| 325 | #462 | — | 22 | 1 | no | — |
| 326 | #446 | — | 22 | 1 | no | — |
| 327 | #446 | — | 22 | 1 | no | — |
| 328 | #446 | — | 22 | 1 | no | — |
| 329 | C8×Q8 | — | 22 | 1 | no | — |
| 330 | C2×#108 | — | 11 | 1 | no | — |
| 331 | C2×#108 | C2×D11 | 1 | 1 | yes | characteristic |
| 332 | #428 | — | 11 | 1 | no | — |
| 333 | #428 | — | 11 | 1 | no | — |
| 334 | #424 | — | 11 | 1 | no | — |
| 335 | #424 | — | 11 | 1 | no | — |
| 336 | #423 | — | 11 | 1 | no | — |
| 337 | C2×C4⋊C8 | — | 11 | 1 | no | — |
| 338 | #419 | — | 11 | 1 | no | — |
| 339 | #419 | — | 11 | 1 | no | — |
| 340 | #419 | — | 11 | 1 | no | — |
| 341 | #419 | — | 11 | 1 | no | — |
| 342 | #419 | C2×D11 | 1 | 1 | yes | characteristic |
| 343 | #419 | C2×D11 | 1 | 1 | yes | characteristic |
| 344 | C2×#103 | — | 11 | 1 | no | — |
| 345 | C2×#103 | — | 11 | 1 | no | — |
| 346 | C2×#101 | — | 11 | 1 | no | — |
| 347 | C2×#101 | — | 11 | 1 | no | — |
| 348 | C2×#101 | — | 11 | 1 | no | — |
| 349 | C2×#101 | — | 11 | 1 | no | — |
| 350 | C2×#101 | C2×D11 | 1 | 1 | yes | characteristic |
| 351 | C2×#101 | C2×D11 | 1 | 1 | yes | characteristic |
| 352 | #405 | — | 11 | 1 | no | — |
| 353 | #405 | C2×D11 | 1 | 1 | yes | characteristic |
| 354 | C4×M16 | — | 11 | 1 | no | — |
| 355 | C4×M16 | — | 11 | 1 | no | — |
| 356 | #343 | — | 11 | 1 | no | — |
| 357 | #343 | — | 11 | 1 | no | — |
| 358 | #341 | — | 11 | 1 | no | — |
| 359 | #341 | — | 11 | 1 | no | — |
| 360 | C22×C11 | — | 2 | 1 | no | — |
| 361 | C22×C11 | — | 2 | 1 | no | — |
| 362 | C22×C11 | C2×#121 | 1 | 1 | yes | characteristic |
| 363 | C22×C11 | #529 | 1 | 1 | yes | characteristic |
| 364 | C22×C11 | #542 | 1 | 1 | yes | characteristic |
| 365 | C4×C11 | — | 4 | 2 | no | — |
| 366 | C4×C11 | — | 4 | 1 | no | — |
| 367 | C4×C11 | — | 4 | 1 | no | — |
| 368 | C4×C11 | — | 8 | 1 | no | — |
| 369 | C4×C11 | #546 | 1 | 1 | yes | characteristic |
| 370 | C4×C11 | #548 | 1 | 1 | yes | characteristic |
| 371 | C4×C11 | #548 | 1 | 1 | yes | characteristic |
| 372 | C4×C11 | #550 | 1 | 1 | yes | characteristic |
| 373 | Dic11 | — | 2 | 1 | no | — |
| 374 | Dic11 | — | 2 | 1 | no | — |
| 375 | Dic11 | — | 2 | 1 | no | — |
| 376 | Dic11 | — | 4 | 1 | no | — |
| 377 | Dic11 | — | 4 | 1 | no | — |
| 378 | Dic11 | — | 8 | 1 | no | — |
| 379 | Dic11 | — | 8 | 1 | no | — |
| 380 | Dic11 | #473 | 1 | 2 | yes | — |
| 381 | C22×Q8 | — | 11 | 1 | no | — |
| 382 | C22×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 383 | C22×Q8 | C22×D11 | 1 | 1 | yes | characteristic |
| 384 | C2×Q16 | — | 2 | 2 | no | — |
| 385 | C2×Q16 | — | 2 | 1 | no | — |
| 386 | C2×Q16 | — | 2 | 1 | no | — |
| 387 | C2×Q16 | — | 4 | 1 | no | — |
| 388 | C2×Q16 | — | 22 | 1 | no | — |
| 389 | C2×Q16 | — | 22 | 1 | no | — |
| 390 | C2×Q16 | — | 22 | 2 | no | — |
| 391 | C2×Q16 | — | 44 | 1 | no | — |
| 392 | C2×M16 | — | 11 | 1 | no | — |
| 393 | C2×M16 | — | 11 | 1 | no | — |
| 394 | C2×M16 | — | 11 | 1 | no | — |
| 395 | C2×M16 | C22×D11 | 1 | 1 | yes | characteristic |
| 396 | C2×M16 | C22×D11 | 1 | 1 | yes | characteristic |
| 397 | C2×M16 | C22×D11 | 1 | 1 | yes | characteristic |
| 398 | C22×C8 | — | 11 | 1 | no | — |
| 399 | C22×C8 | C22×D11 | 1 | 1 | yes | characteristic |
| 400 | C4⋊Q8 | — | 11 | 1 | no | — |
| 401 | C4⋊Q8 | — | 11 | 1 | no | — |
| 402 | C4⋊Q8 | — | 22 | 1 | no | — |
| 403 | C4⋊Q8 | — | 22 | 1 | no | — |
| 404 | C4⋊Q8 | — | 22 | 1 | no | — |
| 405 | C4⋊Q8 | — | 22 | 1 | no | — |
| 406 | #125 | — | 11 | 1 | no | — |
| 407 | #125 | — | 11 | 1 | no | — |
| 408 | C22⋊Q8 | — | 22 | 1 | no | — |
| 409 | C22⋊Q8 | — | 22 | 1 | no | — |
| 410 | C4×Q8 | — | 22 | 1 | no | — |
| 411 | C4×Q8 | — | 22 | 1 | no | — |
| 412 | C4×Q8 | — | 22 | 1 | no | — |
| 413 | C4×Q8 | — | 22 | 1 | no | — |
| 414 | C4×Q8 | — | 22 | 1 | no | — |
| 415 | C4×Q8 | — | 22 | 1 | no | — |
| 416 | #117 | — | 11 | 1 | no | — |
| 417 | #117 | C22×D11 | 1 | 1 | yes | characteristic |
| 418 | C2×C4⋊C4 | — | 11 | 1 | no | — |
| 419 | C2×C4⋊C4 | — | 22 | 1 | no | — |
| 420 | C2×C4⋊C4 | — | 22 | 1 | no | — |
| 421 | C2×C4⋊C4 | — | 22 | 1 | no | — |
| 422 | C2×C42 | — | 11 | 1 | no | — |
| 423 | C2×C42 | — | 22 | 1 | no | — |
| 424 | #108 | — | 4 | 1 | no | — |
| 425 | #108 | — | 44 | 1 | no | — |
| 426 | #107 | — | 22 | 1 | no | — |
| 427 | #107 | — | 22 | 1 | no | — |
| 428 | #106 | — | 22 | 1 | no | — |
| 429 | #106 | — | 22 | 1 | no | — |
| 430 | C4⋊C8 | — | 11 | 1 | no | — |
| 431 | C4⋊C8 | — | 11 | 1 | no | — |
| 432 | C4⋊C8 | — | 11 | 1 | no | — |
| 433 | C4⋊C8 | — | 11 | 1 | no | — |
| 434 | C4⋊C8 | — | 22 | 1 | no | — |
| 435 | C4⋊C8 | — | 22 | 1 | no | — |
| 436 | C4⋊C8 | — | 22 | 1 | no | — |
| 437 | C4⋊C8 | — | 22 | 1 | no | — |
| 438 | C4⋊C8 | — | 22 | 1 | no | — |
| 439 | C4⋊C8 | — | 22 | 1 | no | — |
| 440 | #103 | — | 2 | 1 | no | — |
| 441 | #103 | — | 2 | 1 | no | — |
| 442 | #103 | — | 2 | 1 | no | — |
| 443 | #103 | — | 2 | 1 | no | — |
| 444 | #103 | — | 22 | 1 | no | — |
| 445 | #103 | — | 22 | 1 | no | — |
| 446 | #103 | — | 22 | 1 | no | — |
| 447 | #103 | — | 22 | 1 | no | — |
| 448 | #103 | — | 22 | 1 | no | — |
| 449 | #103 | — | 22 | 1 | no | — |
| 450 | #103 | — | 22 | 1 | no | — |
| 451 | #103 | — | 22 | 1 | no | — |
| 452 | #103 | — | 22 | 1 | no | — |
| 453 | #103 | — | 22 | 1 | no | — |
| 454 | #103 | — | 22 | 1 | no | — |
| 455 | #103 | — | 22 | 1 | no | — |
| 456 | #101 | — | 2 | 2 | no | — |
| 457 | #101 | — | 2 | 2 | no | — |
| 458 | #101 | — | 22 | 2 | no | — |
| 459 | #101 | — | 22 | 2 | no | — |
| 460 | #101 | — | 44 | 1 | no | — |
| 461 | #101 | — | 44 | 1 | no | — |
| 462 | #97 | — | 2 | 1 | no | — |
| 463 | #97 | — | 22 | 1 | no | — |
| 464 | #97 | — | 22 | 1 | no | — |
| 465 | #97 | — | 22 | 1 | no | — |
| 466 | C4×C8 | — | 2 | 1 | no | — |
| 467 | C4×C8 | — | 22 | 1 | no | — |
| 468 | C4×C8 | — | 22 | 1 | no | — |
| 469 | C4×C8 | — | 22 | 1 | no | — |
| 470 | C2×C11 | — | 2 | 1 | no | — |
| 471 | C2×C11 | — | 2 | 1 | no | — |
| 472 | C2×C11 | #2426 | 1 | 1 | yes | characteristic |
| 473 | C2×C11 | C2×#473 | 1 | 1 | yes | characteristic |
| 474 | C2×C11 | #3069 | 1 | 1 | yes | characteristic |
| 475 | C2×Q8 | — | 2 | 1 | no | — |
| 476 | C2×Q8 | — | 2 | 1 | no | — |
| 477 | C2×Q8 | — | 2 | 1 | no | — |
| 478 | C2×Q8 | — | 2 | 1 | no | — |
| 479 | C2×Q8 | — | 2 | 1 | no | — |
| 480 | C2×Q8 | — | 2 | 1 | no | — |
| 481 | C2×Q8 | — | 2 | 1 | no | — |
| 482 | C2×Q8 | — | 2 | 1 | no | — |
| 483 | C2×Q8 | — | 2 | 1 | no | — |
| 484 | C2×Q8 | — | 2 | 1 | no | — |
| 485 | C2×Q8 | — | 2 | 1 | no | — |
| 486 | C2×Q8 | — | 22 | 1 | no | — |
| 487 | C2×Q8 | — | 22 | 1 | no | — |
| 488 | C2×Q8 | — | 22 | 1 | no | — |
| 489 | C2×Q8 | — | 22 | 1 | no | — |
| 490 | C2×Q8 | — | 22 | 1 | no | — |
| 491 | C2×Q8 | — | 22 | 1 | no | — |
| 492 | C2×Q8 | — | 22 | 1 | no | — |
| 493 | C2×Q8 | — | 22 | 1 | no | — |
| 494 | C2×Q8 | #4339 | 1 | 2 | yes | — |
| 495 | C22×C4 | — | 2 | 1 | no | — |
| 496 | C22×C4 | — | 2 | 1 | no | — |
| 497 | C22×C4 | — | 11 | 1 | no | — |
| 498 | C22×C4 | — | 11 | 1 | no | — |
| 499 | C22×C4 | — | 22 | 1 | no | — |
| 500 | C22×C4 | — | 22 | 1 | no | — |
| 501 | C22×C4 | C23×D11 | 1 | 1 | yes | characteristic |
| 502 | Q16 | — | 4 | 2 | no | — |
| 503 | Q16 | — | 4 | 2 | no | — |
| 504 | Q16 | — | 44 | 2 | no | — |
| 505 | Q16 | — | 44 | 2 | no | — |
| 506 | M16 | — | 2 | 1 | no | — |
| 507 | M16 | — | 2 | 1 | no | — |
| 508 | M16 | — | 2 | 1 | no | — |
| 509 | M16 | — | 2 | 1 | no | — |
| 510 | M16 | — | 2 | 1 | no | — |
| 511 | M16 | — | 22 | 1 | no | — |
| 512 | M16 | — | 22 | 1 | no | — |
| 513 | M16 | — | 22 | 1 | no | — |
| 514 | M16 | — | 22 | 1 | no | — |
| 515 | M16 | — | 22 | 1 | no | — |
| 516 | M16 | — | 22 | 1 | no | — |
| 517 | M16 | #4341 | 1 | 2 | yes | — |
| 518 | C2×C8 | — | 2 | 1 | no | — |
| 519 | C2×C8 | — | 2 | 1 | no | — |
| 520 | C2×C8 | — | 2 | 1 | no | — |
| 521 | C2×C8 | — | 2 | 1 | no | — |
| 522 | C2×C8 | — | 2 | 1 | no | — |
| 523 | C2×C8 | — | 11 | 1 | no | — |
| 524 | C2×C8 | — | 11 | 1 | no | — |
| 525 | C2×C8 | — | 22 | 1 | no | — |
| 526 | C2×C8 | — | 22 | 1 | no | — |
| 527 | C2×C8 | — | 22 | 1 | no | — |
| 528 | C2×C8 | — | 22 | 1 | no | — |
| 529 | C2×C8 | — | 22 | 1 | no | — |
| 530 | C2×C8 | D4×D11 | 1 | 1 | yes | characteristic |
| 531 | C2×C8 | D4×D11 | 1 | 1 | yes | characteristic |
| 532 | C4⋊C4 | — | 11 | 1 | no | — |
| 533 | C4⋊C4 | — | 11 | 1 | no | — |
| 534 | C4⋊C4 | — | 22 | 1 | no | — |
| 535 | C4⋊C4 | — | 22 | 1 | no | — |
| 536 | C4⋊C4 | — | 22 | 1 | no | — |
| 537 | C4⋊C4 | — | 22 | 1 | no | — |
| 538 | C4⋊C4 | — | 22 | 1 | no | — |
| 539 | C4⋊C4 | — | 22 | 1 | no | — |
| 540 | C4⋊C4 | — | 22 | 1 | no | — |
| 541 | C4⋊C4 | — | 22 | 1 | no | — |
| 542 | C4⋊C4 | — | 44 | 1 | no | — |
| 543 | C4⋊C4 | — | 44 | 1 | no | — |
| 544 | C4⋊C4 | — | 44 | 1 | no | — |
| 545 | C4⋊C4 | — | 44 | 1 | no | — |
| 546 | C4⋊C4 | — | 44 | 1 | no | — |
| 547 | C4⋊C4 | — | 44 | 1 | no | — |
| 548 | C4⋊C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 549 | C4⋊C4 | D4×D11 | 1 | 1 | yes | characteristic |
| 550 | C22⋊C4 | — | 2 | 1 | no | — |
| 551 | C22⋊C4 | — | 22 | 1 | no | — |
| 552 | C42 | — | 2 | 1 | no | — |
| 553 | C42 | — | 11 | 1 | no | — |
| 554 | C42 | — | 11 | 1 | no | — |
| 555 | C42 | — | 11 | 1 | no | — |
| 556 | C42 | — | 11 | 1 | no | — |
| 557 | C42 | — | 22 | 1 | no | — |
| 558 | C42 | — | 44 | 1 | no | — |
| 559 | C42 | — | 44 | 1 | no | — |
| 560 | C11 | #25314 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 561 | C23 | #41×D11 | 1 | 1 | yes | characteristic |
| 562 | Q8 | — | 2 | 2 | no | — |
| 563 | Q8 | — | 2 | 2 | no | — |
| 564 | Q8 | — | 4 | 1 | no | — |
| 565 | Q8 | — | 4 | 1 | no | — |
| 566 | Q8 | — | 4 | 1 | no | — |
| 567 | Q8 | — | 4 | 1 | no | — |
| 568 | Q8 | — | 4 | 1 | no | — |
| 569 | Q8 | — | 4 | 1 | no | — |
| 570 | Q8 | — | 44 | 2 | no | — |
| 571 | Q8 | — | 44 | 1 | no | — |
| 572 | Q8 | — | 44 | 1 | no | — |
| 573 | Q8 | — | 44 | 1 | no | — |
| 574 | Q8 | — | 44 | 1 | no | — |
| 575 | Q8 | — | 88 | 1 | no | — |
| 576 | C2×C4 | — | 2 | 2 | no | — |
| 577 | C2×C4 | — | 2 | 1 | no | — |
| 578 | C2×C4 | — | 2 | 1 | no | — |
| 579 | C2×C4 | — | 4 | 1 | no | — |
| 580 | C2×C4 | — | 4 | 1 | no | — |
| 581 | C2×C4 | — | 4 | 1 | no | — |
| 582 | C2×C4 | — | 4 | 1 | no | — |
| 583 | C2×C4 | — | 4 | 1 | no | — |
| 584 | C2×C4 | — | 11 | 1 | no | — |
| 585 | C2×C4 | — | 11 | 1 | no | — |
| 586 | C2×C4 | — | 11 | 1 | no | — |
| 587 | C2×C4 | — | 11 | 1 | no | — |
| 588 | C2×C4 | — | 22 | 2 | no | — |
| 589 | C2×C4 | — | 22 | 1 | no | — |
| 590 | C2×C4 | — | 22 | 1 | no | — |
| 591 | C2×C4 | — | 44 | 1 | no | — |
| 592 | C2×C4 | — | 44 | 1 | no | — |
| 593 | C2×C4 | — | 44 | 1 | no | — |
| 594 | C2×C4 | — | 44 | 1 | no | — |
| 595 | C2×C4 | — | 44 | 1 | no | — |
| 596 | C2×C4 | — | 88 | 1 | no | — |
| 597 | C2×C4 | C2×#4339 | 1 | 1 | yes | characteristic |
| 598 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 599 | C2×C4 | C2×D4×D11 | 1 | 1 | yes | characteristic |
| 600 | C2×C4 | C2×#4341 | 1 | 1 | yes | characteristic |
| 601 | C2×C4 | #67037 | 1 | 1 | yes | characteristic |
| 602 | C2×C4 | #67043 | 1 | 1 | yes | characteristic |
| 603 | C8 | — | 2 | 1 | no | — |
| 604 | C8 | — | 2 | 1 | no | — |
| 605 | C8 | — | 2 | 2 | no | — |
| 606 | C8 | — | 4 | 1 | no | — |
| 607 | C8 | — | 4 | 1 | no | — |
| 608 | C8 | — | 22 | 1 | no | — |
| 609 | C8 | — | 22 | 1 | no | — |
| 610 | C8 | — | 44 | 1 | no | — |
| 611 | C8 | — | 44 | 1 | no | — |
| 612 | C8 | — | 44 | 1 | no | — |
| 613 | C22 | — | 2 | 1 | no | — |
| 614 | C22 | — | 2 | 1 | no | — |
| 615 | C22 | #10623069 | 1 | 1 | yes | characteristic |
| 616 | C22 | D11×#121 | 1 | 1 | yes | characteristic |
| 617 | C22 | #10623200 | 1 | 1 | yes | characteristic |
| 618 | C4 | — | 4 | 2 | no | — |
| 619 | C4 | — | 4 | 1 | no | — |
| 620 | C4 | — | 4 | 1 | no | — |
| 621 | C4 | — | 8 | 1 | no | — |
| 622 | C4 | — | 11 | 2 | no | — |
| 623 | C4 | — | 22 | 1 | no | — |
| 624 | C4 | — | 22 | 1 | no | — |
| 625 | C4 | — | 22 | 1 | no | — |
| 626 | C4 | — | 44 | 1 | no | — |
| 627 | C4 | — | 44 | 1 | no | — |
| 628 | C4 | — | 88 | 1 | no | — |
| 629 | C4 | — | 88 | 1 | no | — |
| 630 | C4 | #10623021 | 1 | 1 | yes | characteristic |
| 631 | C4 | #10623083 | 1 | 1 | yes | characteristic |
| 632 | C4 | #10623129 | 1 | 1 | yes | characteristic |
| 633 | C4 | #10623249 | 1 | 1 | yes | characteristic |
| 634 | C2 | — | 2 | 1 | no | — |
| 635 | C2 | — | 2 | 1 | no | — |
| 636 | C2 | #13072179 | 1 | 1 | yes | characteristic |
| 637 | C2 | D11×#473 | 1 | 1 | yes | characteristic |
| 638 | C2 | #13078351 | 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