← #37548327
Subgroups — #37548327
Order 23168.
912 conjugacy classes of subgroups.
The subgroup lattice has 376 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C181⋊#564 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #26042033 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #26042006 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #26041984 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #26041967 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #26041964 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #26041964 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #26041910 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #26041909 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #26041892 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #26041888 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #26041876 | C2 | 1 | 2 | yes | maximal |
| 13 | #26041836 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #26041813 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | C2×#125×C181 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #19153816 | C22 | 1 | 1 | yes | characteristic |
| 17 | #19153816 | C22 | 1 | 1 | yes | characteristic |
| 18 | #19153815 | C22 | 1 | 4 | yes | — |
| 19 | #19153815 | C22 | 1 | 2 | yes | — |
| 20 | #19153815 | C22 | 1 | 4 | yes | — |
| 21 | #19153811 | C22 | 1 | 4 | yes | — |
| 22 | #19153811 | C22 | 1 | 4 | yes | — |
| 23 | #19153811 | C22 | 1 | 4 | yes | — |
| 24 | #19153811 | C22 | 1 | 4 | yes | — |
| 25 | #19153810 | C22 | 1 | 2 | yes | — |
| 26 | #19153808 | C22 | 1 | 2 | yes | — |
| 27 | #19153808 | C22 | 1 | 1 | yes | characteristic |
| 28 | #19153807 | C22 | 1 | 4 | yes | — |
| 29 | #19153807 | C22 | 1 | 4 | yes | — |
| 30 | #19153807 | C22 | 1 | 2 | yes | — |
| 31 | #19153807 | C22 | 1 | 4 | yes | — |
| 32 | #19153806 | C22 | 1 | 4 | yes | — |
| 33 | #19153806 | C22 | 1 | 4 | yes | — |
| 34 | #19153806 | C22 | 1 | 4 | yes | — |
| 35 | #19153806 | C22 | 1 | 4 | yes | — |
| 36 | #19153806 | C22 | 1 | 4 | yes | — |
| 37 | #19153804 | C22 | 1 | 1 | yes | characteristic |
| 38 | #19153801 | C22 | 1 | 4 | yes | — |
| 39 | #19153799 | C22 | 1 | 4 | yes | — |
| 40 | #19153799 | C22 | 1 | 2 | yes | — |
| 41 | #19153796 | C22 | 1 | 2 | yes | — |
| 42 | #19153796 | C22 | 1 | 2 | yes | — |
| 43 | #19153796 | C22 | 1 | 4 | yes | — |
| 44 | #19153795 | C22 | 1 | 2 | yes | — |
| 45 | #19153795 | C22 | 1 | 1 | yes | characteristic |
| 46 | #19153795 | C22 | 1 | 4 | yes | — |
| 47 | #19153795 | C22 | 1 | 2 | yes | — |
| 48 | #19153794 | C22 | 1 | 4 | yes | — |
| 49 | #19153794 | C22 | 1 | 4 | yes | — |
| 50 | #19153790 | C22 | 1 | 1 | yes | characteristic |
| 51 | C4×Dic362 | C22 | 1 | 2 | yes | — |
| 52 | C4×Dic362 | C22 | 1 | 2 | yes | — |
| 53 | C4×Dic362 | C22 | 1 | 1 | yes | characteristic |
| 54 | #19153781 | C22 | 1 | 4 | yes | — |
| 55 | #19153781 | C22 | 1 | 2 | yes | — |
| 56 | #19153781 | C22 | 1 | 2 | yes | — |
| 57 | C4×D724 | C22 | 1 | 1 | yes | characteristic |
| 58 | C4×C22⋊D181 | C22 | 1 | 4 | yes | — |
| 59 | C4×C22⋊D181 | C22 | 1 | 2 | yes | — |
| 60 | #19153775 | C22 | 1 | 4 | yes | — |
| 61 | #19153775 | C22 | 1 | 2 | yes | — |
| 62 | #19153774 | C22 | 1 | 4 | yes | — |
| 63 | #19153774 | C22 | 1 | 2 | yes | — |
| 64 | #19153773 | C22 | 1 | 2 | yes | — |
| 65 | C4⋊C4×D181 | C22 | 1 | 2 | yes | — |
| 66 | #125×C181 | C22 | 1 | 2 | yes | — |
| 67 | #125×C181 | C22 | 1 | 2 | yes | — |
| 68 | #125×C181 | C22 | 1 | 2 | yes | — |
| 69 | #125×C181 | C22 | 1 | 2 | yes | — |
| 70 | C2×C4⋊C4×C181 | C22 | 1 | 2 | yes | — |
| 71 | C2×C4⋊C4×C181 | C22 | 1 | 1 | yes | characteristic |
| 72 | C2×C4⋊C4×C181 | C22 | 1 | 2 | yes | — |
| 73 | C2×C4⋊C4×C181 | C22 | 1 | 1 | yes | characteristic |
| 74 | C2×C42×C181 | C22 | 1 | 1 | yes | characteristic |
| 75 | C2×Dic362 | C23 | 1 | 2 | yes | — |
| 76 | C2×Dic362 | C23 | 1 | 4 | yes | — |
| 77 | C2×Dic362 | C23 | 1 | 2 | yes | — |
| 78 | C2×Dic362 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×D724 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×C22⋊D181 | C23 | 1 | 2 | yes | — |
| 81 | C2×C4×D181 | C23 | 1 | 2 | yes | — |
| 82 | C2×C4×D181 | C23 | 1 | 4 | yes | — |
| 83 | C4⋊Dic181 | C23 | 1 | 2 | yes | — |
| 84 | C4⋊Dic181 | C23 | 1 | 4 | yes | — |
| 85 | C4⋊Dic181 | C23 | 1 | 2 | yes | — |
| 86 | C4⋊Dic181 | C23 | 1 | 4 | yes | — |
| 87 | C4⋊Dic181 | C23 | 1 | 4 | yes | — |
| 88 | C4⋊Dic181 | C23 | 1 | 2 | yes | — |
| 89 | C4⋊Dic181 | C23 | 1 | 1 | yes | characteristic |
| 90 | C4⋊Dic181 | C23 | 1 | 1 | yes | characteristic |
| 91 | C4⋊Dic181 | C23 | 1 | 2 | yes | — |
| 92 | #15668428 | C23 | 1 | 4 | yes | — |
| 93 | #15668428 | C23 | 1 | 2 | yes | — |
| 94 | #15668428 | C23 | 1 | 2 | yes | — |
| 95 | #15668428 | C23 | 1 | 4 | yes | — |
| 96 | #15668428 | C23 | 1 | 2 | yes | — |
| 97 | #15668428 | C23 | 1 | 2 | yes | — |
| 98 | #15668428 | C23 | 1 | 4 | yes | — |
| 99 | #15668428 | C23 | 1 | 4 | yes | — |
| 100 | #15668428 | C23 | 1 | 4 | yes | — |
| 101 | #15668428 | C23 | 1 | 4 | yes | — |
| 102 | #15668428 | C23 | 1 | 4 | yes | — |
| 103 | C22⋊Dic181 | C23 | 1 | 4 | yes | — |
| 104 | C22⋊Dic181 | C23 | 1 | 2 | yes | — |
| 105 | #15668426 | C23 | 1 | 2 | yes | — |
| 106 | #15668426 | C23 | 1 | 2 | yes | — |
| 107 | #15668426 | C23 | 1 | 2 | yes | — |
| 108 | #15668426 | C23 | 1 | 4 | yes | — |
| 109 | #15668426 | C23 | 1 | 4 | yes | — |
| 110 | #15668426 | C23 | 1 | 2 | yes | — |
| 111 | #15668426 | C23 | 1 | 4 | yes | — |
| 112 | C4×Dic181 | C23 | 1 | 2 | yes | — |
| 113 | C4×Dic181 | C23 | 1 | 4 | yes | — |
| 114 | C4×Dic181 | C23 | 1 | 4 | yes | — |
| 115 | C4×Dic181 | C23 | 1 | 4 | yes | — |
| 116 | C4×Dic181 | C23 | 1 | 4 | yes | — |
| 117 | C22×C4×C181 | C23 | 1 | 1 | yes | characteristic |
| 118 | C22×C4×C181 | C23 | 1 | 1 | yes | characteristic |
| 119 | C22×C4×C181 | C23 | 1 | 2 | yes | — |
| 120 | C22×C4×C181 | C23 | 1 | 1 | yes | characteristic |
| 121 | C22×C4×C181 | C23 | 1 | 2 | yes | — |
| 122 | C4⋊C4×C181 | C23 | 1 | 2 | yes | — |
| 123 | C4⋊C4×C181 | C23 | 1 | 2 | yes | — |
| 124 | C4⋊C4×C181 | C23 | 1 | 4 | yes | — |
| 125 | C4⋊C4×C181 | C23 | 1 | 2 | yes | — |
| 126 | C4⋊C4×C181 | C23 | 1 | 4 | yes | — |
| 127 | C4⋊C4×C181 | C23 | 1 | 4 | yes | — |
| 128 | C4⋊C4×C181 | C23 | 1 | 4 | yes | — |
| 129 | C4⋊C4×C181 | C23 | 1 | 2 | yes | — |
| 130 | C42×C181 | C23 | 1 | 1 | yes | characteristic |
| 131 | C42×C181 | C23 | 1 | 1 | yes | characteristic |
| 132 | C42×C181 | C23 | 1 | 1 | yes | characteristic |
| 133 | C42×C181 | C23 | 1 | 1 | yes | characteristic |
| 134 | C22×D181 | C24 | 1 | 2 | yes | — |
| 135 | Dic362 | — | 2 | 4 | no | — |
| 136 | Dic362 | — | 4 | 2 | no | — |
| 137 | Dic362 | — | 4 | 4 | no | — |
| 138 | Dic362 | — | 4 | 1 | no | — |
| 139 | D724 | — | 4 | 1 | no | — |
| 140 | C22⋊D181 | — | 2 | 4 | no | — |
| 141 | C2×Dic181 | C24 | 1 | 4 | yes | — |
| 142 | C2×Dic181 | C24 | 1 | 2 | yes | — |
| 143 | C2×Dic181 | C24 | 1 | 2 | yes | — |
| 144 | C2×Dic181 | C24 | 1 | 2 | yes | — |
| 145 | C2×Dic181 | C24 | 1 | 4 | yes | — |
| 146 | C4×D181 | — | 2 | 4 | no | — |
| 147 | C4×D181 | — | 4 | 4 | no | — |
| 148 | C23×C181 | C24 | 1 | 1 | yes | characteristic |
| 149 | C2×C4×C181 | — | 2 | 2 | no | — |
| 150 | C2×C4×C181 | — | 2 | 4 | no | — |
| 151 | C2×C4×C181 | — | 2 | 2 | no | — |
| 152 | C2×C4×C181 | — | 4 | 2 | no | — |
| 153 | C2×C4×C181 | — | 4 | 1 | no | — |
| 154 | C2×C4×C181 | C24 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C181 | C24 | 1 | 1 | yes | characteristic |
| 156 | C2×C4×C181 | C24 | 1 | 1 | yes | characteristic |
| 157 | C2×C4×C181 | C24 | 1 | 1 | yes | characteristic |
| 158 | C2×C4×C181 | C24 | 1 | 1 | yes | characteristic |
| 159 | C2×C4×C181 | C24 | 1 | 4 | yes | — |
| 160 | C2×C4×C181 | C24 | 1 | 4 | yes | — |
| 161 | C2×C4×C181 | C24 | 1 | 1 | yes | characteristic |
| 162 | C22×C181 | — | 2 | 1 | no | — |
| 163 | C22×C181 | — | 2 | 1 | no | — |
| 164 | C22×C181 | 2−1+4 | 1 | 2 | yes | — |
| 165 | C22×C181 | C25 | 1 | 1 | yes | characteristic |
| 166 | C2×D181 | — | 2 | 2 | no | — |
| 167 | C2×D181 | — | 2 | 2 | no | — |
| 168 | C2×D181 | — | 2 | 2 | no | — |
| 169 | C4×C181 | — | 2 | 1 | no | — |
| 170 | C4×C181 | — | 2 | 1 | no | — |
| 171 | C4×C181 | — | 2 | 4 | no | — |
| 172 | C4×C181 | — | 2 | 1 | no | — |
| 173 | C4×C181 | — | 2 | 4 | no | — |
| 174 | C4×C181 | — | 2 | 1 | no | — |
| 175 | C4×C181 | — | 2 | 1 | no | — |
| 176 | C4×C181 | 2−1+4 | 1 | 2 | yes | — |
| 177 | Dic181 | — | 2 | 2 | no | — |
| 178 | Dic181 | — | 2 | 2 | no | — |
| 179 | Dic181 | — | 2 | 4 | no | — |
| 180 | Dic181 | — | 2 | 4 | no | — |
| 181 | Dic181 | — | 2 | 2 | no | — |
| 182 | C2×C181 | — | 2 | 2 | no | — |
| 183 | C2×C181 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 184 | C2×C181 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 185 | C2×C181 | #585 | 1 | 1 | yes | characteristic |
| 186 | D181 | — | 4 | 2 | no | — |
| 187 | C181 | #3563 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 188 | #3563 | — | 181 | 1 | no | maximal, Sylow |
| 189 | #564 | — | 181 | 2 | no | — |
| 190 | #563 | — | 181 | 2 | no | — |
| 191 | #557 | — | 181 | 2 | no | — |
| 192 | #554 | — | 181 | 2 | no | — |
| 193 | #552 | — | 181 | 2 | no | — |
| 194 | #552 | — | 181 | 4 | no | — |
| 195 | #552 | — | 181 | 2 | no | — |
| 196 | #544 | — | 181 | 2 | no | — |
| 197 | #544 | — | 181 | 2 | no | — |
| 198 | #541 | — | 181 | 4 | no | — |
| 199 | #541 | — | 181 | 2 | no | — |
| 200 | #539 | — | 181 | 2 | no | — |
| 201 | #533 | — | 181 | 1 | no | — |
| 202 | #529 | — | 181 | 1 | no | — |
| 203 | C2×#125 | D181 | 1 | 1 | yes | characteristic, complemented |
| 204 | C4⋊Q8 | — | 181 | 4 | no | — |
| 205 | C4⋊Q8 | — | 181 | 2 | no | — |
| 206 | C4⋊Q8 | — | 181 | 4 | no | — |
| 207 | C4⋊Q8 | — | 181 | 1 | no | — |
| 208 | C4⋊Q8 | — | 181 | 1 | no | — |
| 209 | #126 | — | 181 | 4 | no | — |
| 210 | #126 | — | 181 | 4 | no | — |
| 211 | #126 | — | 181 | 4 | no | — |
| 212 | #126 | — | 181 | 4 | no | — |
| 213 | #126 | — | 181 | 2 | no | — |
| 214 | #125 | — | 181 | 4 | no | — |
| 215 | #125 | — | 181 | 4 | no | — |
| 216 | #125 | — | 181 | 4 | no | — |
| 217 | #125 | — | 181 | 4 | no | — |
| 218 | #125 | — | 181 | 4 | no | — |
| 219 | #125 | — | 181 | 4 | no | — |
| 220 | #125 | — | 181 | 2 | no | — |
| 221 | #125 | — | 181 | 4 | no | — |
| 222 | #125 | — | 181 | 4 | no | — |
| 223 | #125 | — | 181 | 1 | no | — |
| 224 | #125 | — | 181 | 2 | no | — |
| 225 | #125 | C2×D181 | 1 | 2 | yes | — |
| 226 | #125 | C2×D181 | 1 | 2 | yes | — |
| 227 | #125 | C2×D181 | 1 | 2 | yes | — |
| 228 | #125 | C2×D181 | 1 | 2 | yes | — |
| 229 | #124 | — | 181 | 1 | no | — |
| 230 | #123 | — | 181 | 2 | no | — |
| 231 | #123 | — | 181 | 4 | no | — |
| 232 | #123 | — | 181 | 4 | no | — |
| 233 | C22⋊Q8 | — | 181 | 1 | no | — |
| 234 | C22⋊Q8 | — | 181 | 2 | no | — |
| 235 | C22⋊Q8 | — | 181 | 2 | no | — |
| 236 | C22⋊Q8 | — | 181 | 4 | no | — |
| 237 | C22⋊Q8 | — | 181 | 4 | no | — |
| 238 | C22⋊Q8 | — | 181 | 2 | no | — |
| 239 | C22⋊Q8 | — | 181 | 2 | no | — |
| 240 | C22⋊Q8 | — | 181 | 4 | no | — |
| 241 | C22⋊Q8 | — | 181 | 4 | no | — |
| 242 | #121 | — | 181 | 1 | no | — |
| 243 | C4×Q8 | — | 181 | 4 | no | — |
| 244 | C4×Q8 | — | 181 | 2 | no | — |
| 245 | C4×Q8 | — | 181 | 2 | no | — |
| 246 | C4×Q8 | — | 181 | 1 | no | — |
| 247 | C4×Q8 | — | 181 | 2 | no | — |
| 248 | C4×Q8 | — | 181 | 2 | no | — |
| 249 | C4×D4 | — | 181 | 2 | no | — |
| 250 | C4×D4 | — | 181 | 4 | no | — |
| 251 | C4×D4 | — | 181 | 1 | no | — |
| 252 | #117 | — | 181 | 2 | no | — |
| 253 | #117 | — | 181 | 4 | no | — |
| 254 | #117 | — | 181 | 4 | no | — |
| 255 | #117 | — | 181 | 2 | no | — |
| 256 | #117 | — | 181 | 2 | no | — |
| 257 | C2×C4⋊C4 | — | 181 | 2 | no | — |
| 258 | C2×C4⋊C4 | C2×D181 | 1 | 2 | yes | — |
| 259 | C2×C4⋊C4 | C2×D181 | 1 | 1 | yes | characteristic |
| 260 | C2×C4⋊C4 | C2×D181 | 1 | 2 | yes | — |
| 261 | C2×C4⋊C4 | C2×D181 | 1 | 1 | yes | characteristic |
| 262 | C2×C42 | C2×D181 | 1 | 1 | yes | characteristic |
| 263 | C2×Q8 | — | 181 | 2 | no | — |
| 264 | C2×Q8 | — | 181 | 4 | no | — |
| 265 | C2×Q8 | — | 181 | 2 | no | — |
| 266 | C2×Q8 | — | 181 | 1 | no | — |
| 267 | C2×D4 | — | 181 | 2 | no | — |
| 268 | C2×D4 | — | 181 | 1 | no | — |
| 269 | C22×C4 | — | 181 | 2 | no | — |
| 270 | C22×C4 | — | 181 | 4 | no | — |
| 271 | C22×C4 | C22×D181 | 1 | 1 | yes | characteristic |
| 272 | C22×C4 | C22×D181 | 1 | 1 | yes | characteristic |
| 273 | C22×C4 | C22×D181 | 1 | 2 | yes | — |
| 274 | C22×C4 | C22×D181 | 1 | 1 | yes | characteristic |
| 275 | C22×C4 | C22×D181 | 1 | 2 | yes | — |
| 276 | C4⋊C4 | — | 181 | 2 | no | — |
| 277 | C4⋊C4 | — | 181 | 4 | no | — |
| 278 | C4⋊C4 | — | 181 | 4 | no | — |
| 279 | C4⋊C4 | — | 181 | 2 | no | — |
| 280 | C4⋊C4 | — | 181 | 4 | no | — |
| 281 | C4⋊C4 | — | 181 | 2 | no | — |
| 282 | C4⋊C4 | — | 181 | 4 | no | — |
| 283 | C4⋊C4 | — | 181 | 2 | no | — |
| 284 | C4⋊C4 | — | 181 | 2 | no | — |
| 285 | C4⋊C4 | — | 181 | 1 | no | — |
| 286 | C4⋊C4 | — | 181 | 4 | no | — |
| 287 | C4⋊C4 | — | 181 | 2 | no | — |
| 288 | C4⋊C4 | — | 181 | 2 | no | — |
| 289 | C4⋊C4 | — | 181 | 1 | no | — |
| 290 | C4⋊C4 | — | 181 | 4 | no | — |
| 291 | C4⋊C4 | — | 181 | 4 | no | — |
| 292 | C4⋊C4 | — | 181 | 4 | no | — |
| 293 | C4⋊C4 | — | 181 | 4 | no | — |
| 294 | C4⋊C4 | — | 181 | 2 | no | — |
| 295 | C4⋊C4 | — | 181 | 4 | no | — |
| 296 | C4⋊C4 | C22×D181 | 1 | 2 | yes | — |
| 297 | C4⋊C4 | C22×D181 | 1 | 2 | yes | — |
| 298 | C4⋊C4 | C22×D181 | 1 | 4 | yes | — |
| 299 | C4⋊C4 | C22×D181 | 1 | 2 | yes | — |
| 300 | C4⋊C4 | C22×D181 | 1 | 4 | yes | — |
| 301 | C4⋊C4 | C22×D181 | 1 | 4 | yes | — |
| 302 | C4⋊C4 | C22×D181 | 1 | 4 | yes | — |
| 303 | C4⋊C4 | C22×D181 | 1 | 2 | yes | — |
| 304 | C22⋊C4 | — | 181 | 4 | no | — |
| 305 | C22⋊C4 | — | 181 | 2 | no | — |
| 306 | C22⋊C4 | — | 181 | 2 | no | — |
| 307 | C22⋊C4 | — | 181 | 2 | no | — |
| 308 | C22⋊C4 | — | 181 | 4 | no | — |
| 309 | C22⋊C4 | — | 181 | 2 | no | — |
| 310 | C22⋊C4 | — | 181 | 4 | no | — |
| 311 | C22⋊C4 | — | 181 | 4 | no | — |
| 312 | C22⋊C4 | — | 181 | 2 | no | — |
| 313 | C42 | — | 181 | 4 | no | — |
| 314 | C42 | — | 181 | 4 | no | — |
| 315 | C42 | — | 181 | 2 | no | — |
| 316 | C42 | — | 181 | 4 | no | — |
| 317 | C42 | — | 181 | 4 | no | — |
| 318 | C42 | C22×D181 | 1 | 1 | yes | characteristic |
| 319 | C42 | C22×D181 | 1 | 1 | yes | characteristic |
| 320 | C42 | C22×D181 | 1 | 1 | yes | characteristic |
| 321 | C42 | C22×D181 | 1 | 1 | yes | characteristic |
| 322 | C23 | — | 181 | 2 | no | — |
| 323 | C23 | C23×D181 | 1 | 1 | yes | characteristic |
| 324 | Q8 | — | 362 | 4 | no | — |
| 325 | Q8 | — | 724 | 4 | no | — |
| 326 | Q8 | — | 724 | 1 | no | — |
| 327 | Q8 | — | 724 | 2 | no | — |
| 328 | D4 | — | 362 | 4 | no | — |
| 329 | D4 | — | 724 | 1 | no | — |
| 330 | C2×C4 | — | 2 | 2 | no | — |
| 331 | C2×C4 | — | 2 | 4 | no | — |
| 332 | C2×C4 | — | 2 | 2 | no | — |
| 333 | C2×C4 | — | 4 | 2 | no | — |
| 334 | C2×C4 | — | 4 | 1 | no | — |
| 335 | C2×C4 | — | 362 | 4 | no | — |
| 336 | C2×C4 | — | 181 | 4 | no | — |
| 337 | C2×C4 | — | 181 | 2 | no | — |
| 338 | C2×C4 | — | 181 | 2 | no | — |
| 339 | C2×C4 | — | 181 | 2 | no | — |
| 340 | C2×C4 | — | 181 | 4 | no | — |
| 341 | C2×C4 | — | 724 | 4 | no | — |
| 342 | C2×C4 | C23×D181 | 1 | 1 | yes | characteristic |
| 343 | C2×C4 | C23×D181 | 1 | 4 | yes | — |
| 344 | C2×C4 | C23×D181 | 1 | 4 | yes | — |
| 345 | C2×C4 | C23×D181 | 1 | 1 | yes | characteristic |
| 346 | C2×C4 | C23×D181 | 1 | 1 | yes | characteristic |
| 347 | C2×C4 | C23×D181 | 1 | 1 | yes | characteristic |
| 348 | C2×C4 | C23×D181 | 1 | 1 | yes | characteristic |
| 349 | C2×C4 | C23×D181 | 1 | 1 | yes | characteristic |
| 350 | C22 | — | 2 | 1 | no | — |
| 351 | C22 | — | 2 | 1 | no | — |
| 352 | C22 | — | 362 | 2 | no | — |
| 353 | C22 | — | 362 | 2 | no | — |
| 354 | C22 | — | 362 | 2 | no | — |
| 355 | C22 | #19153863 | 1 | 2 | yes | — |
| 356 | C22 | C24×D181 | 1 | 1 | yes | characteristic |
| 357 | C4 | — | 2 | 1 | no | — |
| 358 | C4 | — | 2 | 4 | no | — |
| 359 | C4 | — | 2 | 1 | no | — |
| 360 | C4 | — | 2 | 1 | no | — |
| 361 | C4 | — | 2 | 4 | no | — |
| 362 | C4 | — | 2 | 1 | no | — |
| 363 | C4 | — | 2 | 1 | no | — |
| 364 | C4 | — | 362 | 2 | no | — |
| 365 | C4 | — | 362 | 2 | no | — |
| 366 | C4 | — | 362 | 4 | no | — |
| 367 | C4 | — | 362 | 4 | no | — |
| 368 | C4 | — | 362 | 2 | no | — |
| 369 | C4 | #19153864 | 1 | 2 | yes | — |
| 370 | C2 | — | 2 | 2 | no | — |
| 371 | C2 | — | 724 | 2 | no | — |
| 372 | C2 | C2×#19153863 | 1 | 1 | yes | characteristic |
| 373 | C2 | C2×#19153864 | 1 | 1 | yes | characteristic |
| 374 | C2 | #26042115 | 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