← #11878473
Subgroups — #11878473
Order 1152.
1206 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10596304 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C32×#408 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10592833 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10592815 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10592814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10592435 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10592433 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10592432 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10592421 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #78676 | — | 3 | 4 | no | maximal |
| 11 | C2×C32×#41 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#3828 | C22 | 1 | 2 | yes | — |
| 13 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic |
| 14 | C22×C32×C8 | C22 | 1 | 1 | yes | characteristic |
| 15 | #64155 | — | 2 | 2 | no | — |
| 16 | #64148 | — | 2 | 2 | no | — |
| 17 | #64148 | — | 2 | 2 | no | — |
| 18 | #64147 | — | 2 | 2 | no | — |
| 19 | #64139 | C22 | 1 | 2 | yes | — |
| 20 | #64139 | C22 | 1 | 2 | yes | — |
| 21 | C2×C4⋊(C3⋊Dic3) | C22 | 1 | 2 | yes | — |
| 22 | #64133 | C22 | 1 | 2 | yes | — |
| 23 | #64133 | C22 | 1 | 2 | yes | — |
| 24 | C2×#3746 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#3745 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#3744 | C22 | 1 | 2 | yes | — |
| 27 | C32×C22⋊C8 | C22 | 1 | 2 | yes | — |
| 28 | C32×C22⋊C8 | C22 | 1 | 2 | yes | — |
| 29 | #63648 | C22 | 1 | 2 | yes | — |
| 30 | #63648 | C22 | 1 | 2 | yes | — |
| 31 | #63645 | C22 | 1 | 1 | yes | characteristic |
| 32 | #63645 | C22 | 1 | 1 | yes | characteristic |
| 33 | #63645 | C22 | 1 | 2 | yes | — |
| 34 | #63643 | C22 | 1 | 2 | yes | — |
| 35 | #63643 | C22 | 1 | 2 | yes | — |
| 36 | #5833 | — | 3 | 8 | no | — |
| 37 | C3×#408 | D3 | 1 | 4 | yes | complemented |
| 38 | #5134 | — | 3 | 8 | no | — |
| 39 | #5116 | — | 3 | 4 | no | — |
| 40 | #5115 | — | 3 | 4 | no | — |
| 41 | #4736 | — | 3 | 8 | no | — |
| 42 | #4734 | — | 3 | 8 | no | — |
| 43 | #4733 | — | 3 | 8 | no | — |
| 44 | #4722 | — | 3 | 8 | no | — |
| 45 | C32×#41 | — | 4 | 1 | no | — |
| 46 | C32×#41 | — | 4 | 1 | no | — |
| 47 | C2×C32×Q8 | D4 | 1 | 1 | yes | characteristic |
| 48 | C2×C32×D4 | D4 | 1 | 2 | yes | — |
| 49 | C2×C32×D4 | D4 | 1 | 1 | yes | characteristic |
| 50 | C22×C32×C4 | C23 | 1 | 2 | yes | — |
| 51 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 52 | C2×#638 | — | 2 | 2 | no | — |
| 53 | C2×#638 | — | 2 | 2 | no | — |
| 54 | C2×#638 | — | 2 | 2 | no | — |
| 55 | C22×C3⋊Dic3 | — | 2 | 2 | no | — |
| 56 | #3828 | — | 4 | 2 | no | — |
| 57 | #3828 | — | 4 | 2 | no | — |
| 58 | C2×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 59 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 60 | C2×#634 | C23 | 1 | 2 | yes | — |
| 61 | C32×M16 | — | 4 | 1 | no | — |
| 62 | C2×C32×C8 | — | 4 | 1 | no | — |
| 63 | C2×C32×C8 | C23 | 1 | 2 | yes | — |
| 64 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 65 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 66 | #3757 | — | 2 | 2 | no | — |
| 67 | #3757 | — | 2 | 2 | no | — |
| 68 | #3752 | — | 2 | 2 | no | — |
| 69 | #3752 | — | 2 | 2 | no | — |
| 70 | C4⋊(C3⋊Dic3) | — | 2 | 2 | no | — |
| 71 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 72 | C4⋊(C3⋊Dic3) | C23 | 1 | 2 | yes | — |
| 73 | #3750 | — | 2 | 2 | no | — |
| 74 | #3750 | — | 2 | 2 | no | — |
| 75 | #3746 | — | 4 | 1 | no | — |
| 76 | #3745 | — | 4 | 1 | no | — |
| 77 | #3744 | — | 4 | 2 | no | — |
| 78 | #3203 | — | 9 | 1 | no | Sylow |
| 79 | C2×C3×#41 | C2×D3 | 1 | 4 | yes | — |
| 80 | C2×#235 | — | 3 | 8 | no | — |
| 81 | C2×C3×M16 | C2×D3 | 1 | 4 | yes | — |
| 82 | C22×C3×C8 | C2×D3 | 1 | 4 | yes | — |
| 83 | #946 | — | 6 | 8 | no | — |
| 84 | #939 | — | 6 | 8 | no | — |
| 85 | #939 | — | 6 | 8 | no | — |
| 86 | #938 | — | 6 | 8 | no | — |
| 87 | #930 | — | 3 | 8 | no | — |
| 88 | #930 | — | 3 | 8 | no | — |
| 89 | C2×C4⋊Dic3 | — | 3 | 8 | no | — |
| 90 | #924 | — | 3 | 8 | no | — |
| 91 | #924 | — | 3 | 8 | no | — |
| 92 | C2×Dic12 | — | 3 | 4 | no | — |
| 93 | C2×D24 | — | 3 | 4 | no | — |
| 94 | C2×#204 | — | 3 | 8 | no | — |
| 95 | C3×C22⋊C8 | C2×D3 | 1 | 8 | yes | — |
| 96 | C3×C22⋊C8 | C2×D3 | 1 | 8 | yes | — |
| 97 | #821 | — | 3 | 8 | no | — |
| 98 | #821 | — | 3 | 8 | no | — |
| 99 | #818 | — | 3 | 8 | no | — |
| 100 | #818 | — | 3 | 4 | no | — |
| 101 | #818 | — | 3 | 4 | no | — |
| 102 | #816 | — | 3 | 8 | no | — |
| 103 | #816 | — | 3 | 8 | no | — |
| 104 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 105 | C23×C32 | C2×D4 | 1 | 2 | yes | — |
| 106 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 107 | C32×Q8 | — | 4 | 1 | no | — |
| 108 | C32×D4 | — | 4 | 2 | no | — |
| 109 | C32×D4 | — | 4 | 1 | no | — |
| 110 | C2×C32×C4 | — | 2 | 1 | no | — |
| 111 | C2×C32×C4 | — | 2 | 1 | no | — |
| 112 | C2×C32×C4 | — | 2 | 2 | no | — |
| 113 | C2×C32×C4 | — | 2 | 2 | no | — |
| 114 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 115 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 116 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 117 | #638 | — | 4 | 4 | no | — |
| 118 | #638 | — | 8 | 2 | no | — |
| 119 | #638 | — | 8 | 2 | no | — |
| 120 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 121 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 122 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 123 | C2×C3⋊Dic3 | — | 8 | 2 | no | — |
| 124 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 125 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 126 | C4×C3⋊D3 | — | 4 | 4 | no | — |
| 127 | #634 | — | 2 | 2 | no | — |
| 128 | #634 | — | 2 | 2 | no | — |
| 129 | C32×C8 | — | 2 | 2 | no | — |
| 130 | C32×C8 | — | 2 | 1 | no | — |
| 131 | C32×C8 | — | 2 | 1 | no | — |
| 132 | #537 | — | 9 | 2 | no | — |
| 133 | #484 | — | 9 | 2 | no | — |
| 134 | #480 | — | 9 | 2 | no | — |
| 135 | #468 | — | 9 | 2 | no | — |
| 136 | #467 | — | 9 | 1 | no | — |
| 137 | #466 | — | 9 | 1 | no | — |
| 138 | #452 | — | 9 | 2 | no | — |
| 139 | #449 | — | 9 | 2 | no | — |
| 140 | #408 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 141 | C3×#41 | — | 4 | 4 | no | — |
| 142 | C3×#41 | — | 4 | 4 | no | — |
| 143 | C2×C3×Q8 | D12 | 1 | 4 | yes | — |
| 144 | C2×C3×D4 | D12 | 1 | 8 | yes | — |
| 145 | C2×C3×D4 | D12 | 1 | 4 | yes | — |
| 146 | C22×C3×C4 | C22×D3 | 1 | 8 | yes | — |
| 147 | C22×C3×C4 | C22×D3 | 1 | 4 | yes | — |
| 148 | C2×#67 | — | 6 | 8 | no | — |
| 149 | C2×#67 | — | 6 | 8 | no | — |
| 150 | C2×#67 | — | 6 | 8 | no | — |
| 151 | C22×Dic3 | — | 6 | 8 | no | — |
| 152 | #235 | — | 12 | 8 | no | — |
| 153 | #235 | — | 12 | 8 | no | — |
| 154 | C2×D12 | — | 3 | 8 | no | — |
| 155 | C2×C4×D3 | — | 6 | 8 | no | — |
| 156 | C2×Dic6 | — | 3 | 8 | no | — |
| 157 | C3×M16 | — | 4 | 4 | no | — |
| 158 | C2×C3×C8 | — | 4 | 4 | no | — |
| 159 | C2×C3×C8 | C22×D3 | 1 | 4 | yes | — |
| 160 | C2×C3×C8 | C22×D3 | 1 | 8 | yes | — |
| 161 | C2×C3×C8 | C22×D3 | 1 | 4 | yes | — |
| 162 | #217 | — | 6 | 8 | no | — |
| 163 | #217 | — | 6 | 8 | no | — |
| 164 | (C2×D3)⋊C4 | — | 6 | 8 | no | — |
| 165 | (C2×D3)⋊C4 | — | 6 | 8 | no | — |
| 166 | C4⋊Dic3 | — | 3 | 8 | no | — |
| 167 | C4⋊Dic3 | — | 3 | 8 | no | — |
| 168 | C4⋊Dic3 | — | 6 | 8 | no | — |
| 169 | Dic3⋊C4 | — | 6 | 8 | no | — |
| 170 | Dic3⋊C4 | — | 6 | 8 | no | — |
| 171 | Dic12 | — | 12 | 4 | no | — |
| 172 | D24 | — | 12 | 4 | no | — |
| 173 | #204 | — | 12 | 8 | no | — |
| 174 | C22×C32 | — | 2 | 2 | no | — |
| 175 | C22×C32 | — | 2 | 1 | no | — |
| 176 | C22×C32 | — | 2 | 2 | no | — |
| 177 | C22×C32 | — | 2 | 1 | no | — |
| 178 | C22×C32 | — | 2 | 1 | no | — |
| 179 | C22×C32 | — | 2 | 2 | no | — |
| 180 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 182 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 183 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 184 | C32×C4 | — | 2 | 2 | no | — |
| 185 | C32×C4 | — | 2 | 1 | no | — |
| 186 | C32×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 187 | C32×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 188 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 189 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 190 | C3⋊Dic3 | — | 4 | 2 | no | — |
| 191 | C2×#41 | — | 9 | 2 | no | — |
| 192 | C2×#41 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 193 | C2×Q16 | — | 9 | 1 | no | — |
| 194 | C2×SD16 | — | 9 | 2 | no | — |
| 195 | C2×D8 | — | 9 | 1 | no | — |
| 196 | C2×M16 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 197 | C22×C8 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 198 | C22⋊Q8 | — | 9 | 2 | no | — |
| 199 | C22⋊Q8 | — | 9 | 2 | no | — |
| 200 | C22⋊Q8 | — | 18 | 2 | no | — |
| 201 | #121 | — | 9 | 2 | no | — |
| 202 | #121 | — | 9 | 2 | no | — |
| 203 | #121 | — | 18 | 2 | no | — |
| 204 | #121 | — | 18 | 2 | no | — |
| 205 | #121 | — | 18 | 2 | no | — |
| 206 | C2×C4⋊C4 | — | 9 | 2 | no | — |
| 207 | #107 | — | 9 | 1 | no | — |
| 208 | #107 | — | 9 | 1 | no | — |
| 209 | #107 | — | 9 | 2 | no | — |
| 210 | #103 | — | 9 | 2 | no | — |
| 211 | #103 | — | 9 | 2 | no | — |
| 212 | #102 | — | 9 | 2 | no | — |
| 213 | #102 | — | 9 | 2 | no | — |
| 214 | C22⋊C8 | C2×C3⋊D3 | 1 | 2 | yes | — |
| 215 | C22⋊C8 | C2×C3⋊D3 | 1 | 2 | yes | — |
| 216 | C23×C3 | C2×D12 | 1 | 4 | yes | — |
| 217 | C23×C3 | C2×D12 | 1 | 8 | yes | — |
| 218 | C22×D3 | — | 6 | 8 | no | — |
| 219 | C3×Q8 | — | 4 | 4 | no | — |
| 220 | C3×D4 | — | 4 | 8 | no | — |
| 221 | C3×D4 | — | 4 | 4 | no | — |
| 222 | C2×C3×C4 | — | 2 | 4 | no | — |
| 223 | C2×C3×C4 | — | 2 | 4 | no | — |
| 224 | C2×C3×C4 | — | 2 | 8 | no | — |
| 225 | C2×C3×C4 | — | 2 | 8 | no | — |
| 226 | C2×C3×C4 | C2×D12 | 1 | 4 | yes | — |
| 227 | C2×C3×C4 | C2×D12 | 1 | 8 | yes | — |
| 228 | C2×C3×C4 | C23×D3 | 1 | 4 | yes | — |
| 229 | #67 | — | 12 | 16 | no | — |
| 230 | #67 | — | 24 | 8 | no | — |
| 231 | #67 | — | 24 | 8 | no | — |
| 232 | C2×Dic3 | — | 6 | 8 | no | — |
| 233 | C2×Dic3 | — | 6 | 8 | no | — |
| 234 | C2×Dic3 | — | 6 | 8 | no | — |
| 235 | C2×Dic3 | — | 24 | 8 | no | — |
| 236 | D12 | — | 6 | 8 | no | — |
| 237 | D12 | — | 6 | 8 | no | — |
| 238 | C4×D3 | — | 12 | 16 | no | — |
| 239 | Dic6 | — | 6 | 8 | no | — |
| 240 | Dic6 | — | 6 | 8 | no | — |
| 241 | C3×C8 | — | 2 | 8 | no | — |
| 242 | C3×C8 | — | 2 | 4 | no | — |
| 243 | C3×C8 | — | 2 | 4 | no | — |
| 244 | C2×C32 | — | 4 | 2 | no | — |
| 245 | C2×C32 | — | 4 | 1 | no | — |
| 246 | C2×C32 | #534 | 1 | 1 | yes | characteristic |
| 247 | C2×C32 | #576 | 1 | 1 | yes | characteristic |
| 248 | C2×C32 | #578 | 1 | 1 | yes | characteristic |
| 249 | C3⋊D3 | — | 8 | 2 | no | — |
| 250 | #41 | — | 4 | 1 | no | — |
| 251 | #41 | — | 4 | 1 | no | — |
| 252 | #41 | — | 36 | 2 | no | — |
| 253 | #41 | — | 36 | 2 | no | — |
| 254 | C2×Q8 | — | 9 | 2 | no | — |
| 255 | C2×Q8 | C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 256 | C2×D4 | — | 9 | 2 | no | — |
| 257 | C2×D4 | — | 18 | 2 | no | — |
| 258 | C2×D4 | — | 18 | 2 | no | — |
| 259 | C2×D4 | — | 18 | 2 | no | — |
| 260 | C2×D4 | C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 261 | C2×D4 | C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 262 | C22×C4 | — | 18 | 2 | no | — |
| 263 | C22×C4 | — | 18 | 2 | no | — |
| 264 | C22×C4 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 265 | C22×C4 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 266 | Q16 | — | 36 | 1 | no | — |
| 267 | SD16 | — | 36 | 2 | no | — |
| 268 | D8 | — | 36 | 1 | no | — |
| 269 | M16 | — | 4 | 1 | no | — |
| 270 | C2×C8 | — | 4 | 1 | no | — |
| 271 | C2×C8 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 272 | C2×C8 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 273 | C2×C8 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 274 | C4⋊C4 | — | 9 | 2 | no | — |
| 275 | C4⋊C4 | — | 9 | 2 | no | — |
| 276 | C4⋊C4 | — | 18 | 2 | no | — |
| 277 | C4⋊C4 | — | 18 | 2 | no | — |
| 278 | C4⋊C4 | — | 18 | 2 | no | — |
| 279 | C22⋊C4 | — | 18 | 2 | no | — |
| 280 | C22⋊C4 | — | 18 | 2 | no | — |
| 281 | C22⋊C4 | — | 18 | 2 | no | — |
| 282 | C22⋊C4 | — | 18 | 2 | no | — |
| 283 | C22×C3 | — | 2 | 8 | no | — |
| 284 | C22×C3 | — | 2 | 4 | no | — |
| 285 | C22×C3 | — | 2 | 8 | no | — |
| 286 | C22×C3 | — | 2 | 4 | no | — |
| 287 | C22×C3 | — | 2 | 4 | no | — |
| 288 | C22×C3 | — | 2 | 8 | no | — |
| 289 | C22×C3 | C22×D12 | 1 | 4 | yes | — |
| 290 | C2×D3 | — | 12 | 8 | no | — |
| 291 | C2×D3 | — | 12 | 8 | no | — |
| 292 | C2×D3 | — | 12 | 8 | no | — |
| 293 | C3×C4 | — | 2 | 8 | no | — |
| 294 | C3×C4 | — | 2 | 4 | no | — |
| 295 | C3×C4 | #1004 | 1 | 4 | yes | — |
| 296 | C3×C4 | #1004 | 1 | 4 | yes | — |
| 297 | Dic3 | — | 12 | 8 | no | — |
| 298 | Dic3 | — | 12 | 8 | no | — |
| 299 | Dic3 | — | 12 | 8 | no | — |
| 300 | C32 | #3203 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 301 | C23 | — | 18 | 2 | no | — |
| 302 | C23 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 303 | C23 | C2×C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 304 | Q8 | — | 4 | 1 | no | — |
| 305 | Q8 | — | 18 | 2 | no | — |
| 306 | Q8 | — | 18 | 2 | no | — |
| 307 | D4 | — | 4 | 2 | no | — |
| 308 | D4 | — | 4 | 1 | no | — |
| 309 | D4 | — | 18 | 2 | no | — |
| 310 | D4 | — | 18 | 2 | no | — |
| 311 | D4 | — | 36 | 4 | no | — |
| 312 | D4 | — | 72 | 2 | no | — |
| 313 | D4 | — | 72 | 2 | no | — |
| 314 | C2×C4 | — | 2 | 1 | no | — |
| 315 | C2×C4 | — | 2 | 1 | no | — |
| 316 | C2×C4 | — | 2 | 2 | no | — |
| 317 | C2×C4 | — | 2 | 2 | no | — |
| 318 | C2×C4 | — | 18 | 2 | no | — |
| 319 | C2×C4 | — | 18 | 2 | no | — |
| 320 | C2×C4 | — | 18 | 2 | no | — |
| 321 | C2×C4 | — | 36 | 4 | no | — |
| 322 | C2×C4 | — | 72 | 2 | no | — |
| 323 | C2×C4 | C2×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 324 | C2×C4 | C2×C4⋊(C3⋊D3) | 1 | 2 | yes | — |
| 325 | C2×C4 | C23×C3⋊D3 | 1 | 1 | yes | characteristic |
| 326 | C8 | — | 2 | 1 | no | — |
| 327 | C8 | — | 2 | 1 | no | — |
| 328 | C8 | — | 2 | 2 | no | — |
| 329 | C2×C3 | — | 4 | 8 | no | — |
| 330 | C2×C3 | — | 4 | 4 | no | — |
| 331 | C2×C3 | #5493 | 1 | 4 | yes | — |
| 332 | C2×C3 | #5752 | 1 | 4 | yes | — |
| 333 | C2×C3 | #5753 | 1 | 4 | yes | — |
| 334 | D3 | — | 24 | 8 | no | — |
| 335 | C22 | — | 2 | 2 | no | — |
| 336 | C22 | — | 2 | 1 | no | — |
| 337 | C22 | — | 2 | 2 | no | — |
| 338 | C22 | — | 2 | 1 | no | — |
| 339 | C22 | — | 2 | 1 | no | — |
| 340 | C22 | — | 2 | 2 | no | — |
| 341 | C22 | — | 36 | 2 | no | — |
| 342 | C22 | — | 36 | 2 | no | — |
| 343 | C22 | — | 36 | 2 | no | — |
| 344 | C22 | C22×C4⋊(C3⋊D3) | 1 | 1 | yes | characteristic |
| 345 | C4 | — | 2 | 2 | no | — |
| 346 | C4 | — | 2 | 1 | no | — |
| 347 | C4 | — | 36 | 2 | no | — |
| 348 | C4 | — | 36 | 2 | no | — |
| 349 | C4 | — | 36 | 2 | no | — |
| 350 | C4 | #64361 | 1 | 1 | yes | characteristic |
| 351 | C4 | #64361 | 1 | 1 | yes | characteristic |
| 352 | C3 | #78676 | 1 | 4 | yes | complemented |
| 353 | C2 | — | 4 | 2 | no | — |
| 354 | C2 | — | 4 | 1 | no | — |
| 355 | C2 | — | 72 | 2 | no | — |
| 356 | C2 | #10595964 | 1 | 1 | yes | characteristic |
| 357 | C2 | #10596223 | 1 | 1 | yes | characteristic |
| 358 | C2 | #10596224 | 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