← #10762165
Subgroups — #10762165
Order 768.
1020 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 | #85844 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C3×#2991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C4×#948 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #70769 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #70754 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #70501 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | #70497 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | #17518 | — | 3 | 1 | no | maximal, Sylow |
| 9 | C3×C4×#41 | C22 | 1 | 1 | yes | characteristic |
| 10 | #5831 | — | 2 | 1 | no | — |
| 11 | C2×#948 | — | 2 | 1 | no | — |
| 12 | Q8×D12 | C4 | 1 | 1 | yes | characteristic |
| 13 | C4×D3×Q8 | — | 2 | 1 | no | — |
| 14 | #5570 | C4 | 1 | 1 | yes | characteristic |
| 15 | #5557 | — | 2 | 3 | no | — |
| 16 | #5551 | C4 | 1 | 3 | yes | — |
| 17 | #5542 | C4 | 1 | 3 | yes | — |
| 18 | #5529 | — | 2 | 3 | no | — |
| 19 | C4×#235 | C22 | 1 | 3 | yes | — |
| 20 | #5470 | C22 | 1 | 3 | yes | — |
| 21 | C3×C8×Q8 | — | 2 | 1 | no | — |
| 22 | C3×#436 | — | 2 | 3 | no | — |
| 23 | C3×#431 | C22 | 1 | 3 | yes | — |
| 24 | C3×#423 | C22 | 1 | 3 | yes | — |
| 25 | #4997 | — | 2 | 3 | no | — |
| 26 | C4×#208 | C22 | 1 | 3 | yes | — |
| 27 | C2×C4×C3⋊C8 | C22 | 1 | 3 | yes | — |
| 28 | #4484 | C22 | 1 | 6 | yes | — |
| 29 | #4484 | C22 | 1 | 3 | yes | — |
| 30 | #4484 | C22 | 1 | 3 | yes | — |
| 31 | #4483 | C22 | 1 | 3 | yes | — |
| 32 | #4483 | C22 | 1 | 1 | yes | characteristic |
| 33 | #3482 | — | 3 | 1 | no | — |
| 34 | #2991 | D3 | 1 | 1 | yes | characteristic, complemented |
| 35 | C4×#131 | — | 3 | 1 | no | — |
| 36 | #1493 | — | 3 | 3 | no | — |
| 37 | #1489 | — | 3 | 3 | no | — |
| 38 | #1485 | — | 3 | 3 | no | — |
| 39 | #1476 | — | 3 | 3 | no | — |
| 40 | C2×C3×#41 | D4 | 1 | 1 | yes | characteristic |
| 41 | C2×D3×Q8 | — | 2 | 1 | no | — |
| 42 | C2×#235 | C2×C4 | 1 | 3 | yes | — |
| 43 | C2×C3×M16 | — | 2 | 3 | no | — |
| 44 | C3×C4×Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C3×C4×Q8 | D4 | 1 | 1 | yes | characteristic |
| 46 | C3×C4×D4 | C2×C4 | 1 | 3 | yes | — |
| 47 | C3×C4×D4 | D4 | 1 | 3 | yes | — |
| 48 | C3×#117 | D4 | 1 | 3 | yes | — |
| 49 | C2×C3×C42 | C23 | 1 | 3 | yes | — |
| 50 | #948 | — | 2 | 8 | no | — |
| 51 | Q8×Dic3 | — | 2 | 1 | no | — |
| 52 | #938 | — | 2 | 3 | no | — |
| 53 | #936 | — | 2 | 3 | no | — |
| 54 | C4×#67 | — | 2 | 3 | no | — |
| 55 | C4×#67 | — | 2 | 3 | no | — |
| 56 | #926 | — | 2 | 3 | no | — |
| 57 | #926 | C2×C4 | 1 | 3 | yes | — |
| 58 | #924 | — | 2 | 3 | no | — |
| 59 | #924 | C2×C4 | 1 | 6 | yes | — |
| 60 | C2×#208 | — | 2 | 3 | no | — |
| 61 | C22×C3⋊C8 | — | 2 | 3 | no | — |
| 62 | #897 | — | 2 | 3 | no | — |
| 63 | D3×C4⋊C4 | — | 2 | 3 | no | — |
| 64 | #890 | — | 2 | 3 | no | — |
| 65 | #887 | — | 2 | 3 | no | — |
| 66 | #883 | — | 2 | 6 | no | — |
| 67 | #879 | — | 2 | 6 | no | — |
| 68 | C4×D12 | C2×C4 | 1 | 3 | yes | — |
| 69 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 70 | #872 | — | 2 | 3 | no | — |
| 71 | C42×D3 | — | 2 | 3 | no | — |
| 72 | #870 | — | 2 | 3 | no | — |
| 73 | #869 | C2×C4 | 1 | 3 | yes | — |
| 74 | #869 | C2×C4 | 1 | 3 | yes | — |
| 75 | C4×Dic6 | — | 2 | 3 | no | — |
| 76 | C4×Dic6 | C2×C4 | 1 | 3 | yes | — |
| 77 | C4×Dic6 | C23 | 1 | 3 | yes | — |
| 78 | C3×C4⋊C8 | — | 2 | 3 | no | — |
| 79 | C3×C4⋊C8 | C23 | 1 | 3 | yes | — |
| 80 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 81 | C3×C22⋊C8 | — | 2 | 3 | no | — |
| 82 | C3×C4×C8 | — | 2 | 3 | no | — |
| 83 | #803 | — | 2 | 3 | no | — |
| 84 | C4×C3⋊C8 | — | 2 | 3 | no | — |
| 85 | C4×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 86 | C4×C3⋊C8 | C23 | 1 | 3 | yes | — |
| 87 | C2×#131 | — | 6 | 1 | no | — |
| 88 | #557 | — | 3 | 1 | no | — |
| 89 | #556 | — | 3 | 3 | no | — |
| 90 | #552 | — | 6 | 3 | no | — |
| 91 | D4×Q8 | — | 3 | 1 | no | — |
| 92 | #548 | — | 6 | 1 | no | — |
| 93 | #547 | — | 3 | 3 | no | — |
| 94 | #533 | — | 3 | 3 | no | — |
| 95 | #529 | — | 6 | 3 | no | — |
| 96 | C4×#41 | — | 3 | 3 | no | — |
| 97 | C4×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 98 | C2×C4×Q8 | — | 6 | 1 | no | — |
| 99 | C8×Q8 | — | 2 | 1 | no | — |
| 100 | #436 | — | 2 | 3 | no | — |
| 101 | #431 | C2×D3 | 1 | 3 | yes | — |
| 102 | #423 | C2×D3 | 1 | 3 | yes | — |
| 103 | #405 | — | 6 | 3 | no | — |
| 104 | C4×M16 | — | 3 | 3 | no | — |
| 105 | C2×C4×C8 | — | 3 | 3 | no | — |
| 106 | Q8⋊C8 | — | 3 | 3 | no | — |
| 107 | Q8⋊C8 | — | 3 | 3 | no | — |
| 108 | Q8⋊C8 | — | 3 | 6 | no | — |
| 109 | D4⋊C8 | — | 3 | 1 | no | — |
| 110 | D4⋊C8 | — | 3 | 3 | no | — |
| 111 | C3×#41 | — | 2 | 4 | no | — |
| 112 | C2×C3×Q8 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C2×C3×D4 | C22⋊C4 | 1 | 3 | yes | — |
| 114 | C22×C3×C4 | C22×C4 | 1 | 3 | yes | — |
| 115 | C22×C3×C4 | C2×D4 | 1 | 3 | yes | — |
| 116 | C22×C3×C4 | C2×D4 | 1 | 3 | yes | — |
| 117 | C2×#67 | — | 2 | 3 | no | — |
| 118 | D3×Q8 | — | 4 | 4 | no | — |
| 119 | #235 | — | 2 | 6 | no | — |
| 120 | #235 | — | 4 | 3 | no | — |
| 121 | C2×D12 | C22×C4 | 1 | 1 | yes | characteristic |
| 122 | C2×C4×D3 | — | 2 | 3 | no | — |
| 123 | C2×C4×D3 | — | 2 | 3 | no | — |
| 124 | C2×C4×D3 | — | 2 | 1 | no | — |
| 125 | C2×Dic6 | — | 2 | 3 | no | — |
| 126 | C2×Dic6 | C22×C4 | 1 | 3 | yes | — |
| 127 | C3×M16 | — | 8 | 3 | no | — |
| 128 | C2×C3×C8 | — | 2 | 1 | no | — |
| 129 | C2×C3×C8 | — | 2 | 3 | no | — |
| 130 | C3×C4⋊C4 | C22⋊C4 | 1 | 3 | yes | — |
| 131 | C3×C4⋊C4 | C22⋊C4 | 1 | 3 | yes | — |
| 132 | C3×C22⋊C4 | C22⋊C4 | 1 | 6 | yes | — |
| 133 | C3×C42 | C22×C4 | 1 | 3 | yes | — |
| 134 | C3×C42 | C2×D4 | 1 | 3 | yes | — |
| 135 | C3×C42 | C2×D4 | 1 | 3 | yes | — |
| 136 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 137 | #217 | — | 2 | 3 | no | — |
| 138 | #217 | — | 2 | 6 | no | — |
| 139 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 140 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 141 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 142 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 143 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 144 | C4⋊Dic3 | C22×C4 | 1 | 1 | yes | characteristic |
| 145 | C4⋊Dic3 | C22×C4 | 1 | 3 | yes | — |
| 146 | Dic3⋊C4 | — | 2 | 6 | no | — |
| 147 | Dic3⋊C4 | — | 2 | 3 | no | — |
| 148 | Dic3⋊C4 | — | 2 | 3 | no | — |
| 149 | C4×Dic3 | — | 2 | 3 | no | — |
| 150 | C4×Dic3 | — | 2 | 3 | no | — |
| 151 | C4×Dic3 | — | 2 | 3 | no | — |
| 152 | #208 | — | 2 | 12 | no | — |
| 153 | C2×C3⋊C8 | — | 2 | 12 | no | — |
| 154 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 155 | C2×C3⋊C8 | — | 2 | 3 | no | — |
| 156 | C2×#41 | — | 3 | 3 | no | — |
| 157 | C2×#41 | D12 | 1 | 1 | yes | characteristic |
| 158 | C22×Q8 | — | 6 | 1 | no | — |
| 159 | #131 | — | 6 | 8 | no | — |
| 160 | C2×M16 | — | 2 | 3 | no | — |
| 161 | C2×M16 | — | 6 | 3 | no | — |
| 162 | C22×C8 | — | 6 | 3 | no | — |
| 163 | C4⋊Q8 | — | 3 | 3 | no | — |
| 164 | C4⋊Q8 | — | 3 | 3 | no | — |
| 165 | #126 | — | 6 | 6 | no | — |
| 166 | #125 | — | 6 | 3 | no | — |
| 167 | #125 | — | 6 | 3 | no | — |
| 168 | #124 | — | 6 | 3 | no | — |
| 169 | #123 | — | 6 | 6 | no | — |
| 170 | C22⋊Q8 | — | 3 | 6 | no | — |
| 171 | C22⋊Q8 | — | 6 | 3 | no | — |
| 172 | C22⋊Q8 | — | 6 | 3 | no | — |
| 173 | #121 | — | 6 | 3 | no | — |
| 174 | C4×Q8 | — | 3 | 3 | no | — |
| 175 | C4×Q8 | — | 3 | 3 | no | — |
| 176 | C4×Q8 | — | 6 | 1 | no | — |
| 177 | C4×Q8 | — | 6 | 3 | no | — |
| 178 | C4×Q8 | — | 6 | 3 | no | — |
| 179 | C4×Q8 | C4×D3 | 1 | 1 | yes | characteristic |
| 180 | C4×Q8 | #67 | 1 | 1 | yes | characteristic |
| 181 | C4×D4 | — | 3 | 3 | no | — |
| 182 | C4×D4 | — | 3 | 1 | no | — |
| 183 | C4×D4 | — | 6 | 3 | no | — |
| 184 | C4×D4 | — | 6 | 3 | no | — |
| 185 | C4×D4 | C4×D3 | 1 | 3 | yes | — |
| 186 | C4×D4 | #67 | 1 | 3 | yes | — |
| 187 | #117 | — | 3 | 3 | no | — |
| 188 | #117 | — | 6 | 3 | no | — |
| 189 | #117 | — | 6 | 3 | no | — |
| 190 | #117 | D12 | 1 | 3 | yes | — |
| 191 | C2×C4⋊C4 | — | 6 | 3 | no | — |
| 192 | C2×C42 | — | 6 | 3 | no | — |
| 193 | C2×C42 | C22×D3 | 1 | 3 | yes | — |
| 194 | C4⋊C8 | — | 2 | 3 | no | — |
| 195 | C4⋊C8 | C22×D3 | 1 | 3 | yes | — |
| 196 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 197 | C22⋊C8 | — | 2 | 3 | no | — |
| 198 | #97 | — | 6 | 3 | no | — |
| 199 | C4×C8 | — | 2 | 3 | no | — |
| 200 | C4×C8 | — | 3 | 1 | no | — |
| 201 | C4×C8 | — | 3 | 3 | no | — |
| 202 | C4×C8 | — | 6 | 3 | no | — |
| 203 | C23×C3 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 204 | C22×D3 | — | 2 | 1 | no | — |
| 205 | C3×Q8 | #104 | 1 | 4 | yes | — |
| 206 | C3×D4 | — | 2 | 6 | no | — |
| 207 | C2×C3×C4 | — | 2 | 3 | no | — |
| 208 | C2×C3×C4 | — | 2 | 3 | no | — |
| 209 | C2×C3×C4 | — | 2 | 3 | no | — |
| 210 | C2×C3×C4 | — | 2 | 3 | no | — |
| 211 | C2×C3×C4 | — | 2 | 6 | no | — |
| 212 | C2×C3×C4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 213 | C2×C3×C4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 214 | C2×C3×C4 | C2×C22⋊C4 | 1 | 3 | yes | — |
| 215 | C2×C3×C4 | C23×C4 | 1 | 1 | yes | characteristic |
| 216 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 218 | #67 | — | 4 | 6 | no | — |
| 219 | C2×Dic3 | — | 2 | 1 | no | — |
| 220 | C2×Dic3 | — | 2 | 3 | no | — |
| 221 | C2×Dic3 | — | 2 | 3 | no | — |
| 222 | D12 | — | 2 | 1 | no | — |
| 223 | D12 | #131 | 1 | 2 | yes | complemented |
| 224 | C4×D3 | — | 4 | 6 | no | — |
| 225 | C4×D3 | — | 4 | 1 | no | — |
| 226 | C4×D3 | — | 4 | 1 | no | — |
| 227 | C4×D3 | — | 4 | 6 | no | — |
| 228 | Dic6 | — | 2 | 3 | no | — |
| 229 | Dic6 | — | 2 | 3 | no | — |
| 230 | Dic6 | — | 4 | 6 | no | — |
| 231 | C3×C8 | — | 4 | 3 | no | — |
| 232 | C3×C8 | — | 4 | 1 | no | — |
| 233 | C3⋊C8 | — | 2 | 2 | no | — |
| 234 | C3⋊C8 | — | 2 | 6 | no | — |
| 235 | #41 | — | 2 | 4 | no | — |
| 236 | #41 | — | 6 | 6 | no | — |
| 237 | #41 | — | 12 | 3 | no | — |
| 238 | C2×Q8 | — | 3 | 3 | no | — |
| 239 | C2×Q8 | — | 6 | 3 | no | — |
| 240 | C2×Q8 | — | 12 | 4 | no | — |
| 241 | C2×Q8 | (C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 242 | C2×D4 | — | 3 | 1 | no | — |
| 243 | C2×D4 | — | 6 | 3 | no | — |
| 244 | C2×D4 | (C2×D3)⋊C4 | 1 | 3 | yes | — |
| 245 | C22×C4 | — | 6 | 3 | no | — |
| 246 | C22×C4 | — | 6 | 3 | no | — |
| 247 | C22×C4 | — | 6 | 1 | no | — |
| 248 | C22×C4 | C2×C4×D3 | 1 | 3 | yes | — |
| 249 | C22×C4 | C2×D12 | 1 | 3 | yes | — |
| 250 | C22×C4 | C2×#67 | 1 | 3 | yes | — |
| 251 | M16 | — | 6 | 12 | no | — |
| 252 | M16 | — | 8 | 3 | no | — |
| 253 | C2×C8 | — | 2 | 1 | no | — |
| 254 | C2×C8 | — | 2 | 3 | no | — |
| 255 | C2×C8 | — | 6 | 12 | no | — |
| 256 | C2×C8 | — | 6 | 1 | no | — |
| 257 | C2×C8 | — | 6 | 3 | no | — |
| 258 | C4⋊C4 | — | 3 | 1 | no | — |
| 259 | C4⋊C4 | — | 3 | 3 | no | — |
| 260 | C4⋊C4 | — | 6 | 3 | no | — |
| 261 | C4⋊C4 | — | 6 | 6 | no | — |
| 262 | C4⋊C4 | — | 6 | 3 | no | — |
| 263 | C4⋊C4 | — | 6 | 3 | no | — |
| 264 | C4⋊C4 | — | 6 | 3 | no | — |
| 265 | C4⋊C4 | — | 6 | 3 | no | — |
| 266 | C4⋊C4 | (C2×D3)⋊C4 | 1 | 3 | yes | — |
| 267 | C4⋊C4 | (C2×D3)⋊C4 | 1 | 3 | yes | — |
| 268 | C22⋊C4 | — | 6 | 3 | no | — |
| 269 | C22⋊C4 | — | 6 | 6 | no | — |
| 270 | C22⋊C4 | — | 6 | 3 | no | — |
| 271 | C22⋊C4 | — | 6 | 1 | no | — |
| 272 | C22⋊C4 | (C2×D3)⋊C4 | 1 | 6 | yes | — |
| 273 | C42 | — | 6 | 3 | no | — |
| 274 | C42 | — | 6 | 3 | no | — |
| 275 | C42 | — | 6 | 3 | no | — |
| 276 | C42 | C2×C4×D3 | 1 | 3 | yes | — |
| 277 | C42 | C2×D12 | 1 | 3 | yes | — |
| 278 | C42 | C2×#67 | 1 | 3 | yes | — |
| 279 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 280 | C22×C3 | — | 2 | 3 | no | — |
| 281 | C22×C3 | — | 2 | 3 | no | — |
| 282 | C22×C3 | — | 2 | 3 | no | — |
| 283 | C22×C3 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 284 | C2×D3 | — | 2 | 2 | no | — |
| 285 | C2×D3 | — | 4 | 1 | no | — |
| 286 | C2×D3 | — | 4 | 1 | no | — |
| 287 | C3×C4 | — | 2 | 3 | no | — |
| 288 | C3×C4 | — | 2 | 3 | no | — |
| 289 | C3×C4 | — | 2 | 1 | no | — |
| 290 | C3×C4 | C2×#104 | 1 | 6 | yes | — |
| 291 | C3×C4 | C2×#131 | 1 | 1 | yes | characteristic |
| 292 | C3×C4 | #568 | 1 | 1 | yes | characteristic |
| 293 | C3×C4 | #577 | 1 | 1 | yes | characteristic |
| 294 | C3×C4 | #578 | 1 | 1 | yes | characteristic |
| 295 | Dic3 | — | 4 | 3 | no | — |
| 296 | Dic3 | — | 4 | 1 | no | — |
| 297 | Dic3 | — | 4 | 3 | no | — |
| 298 | C23 | — | 6 | 1 | no | — |
| 299 | C23 | C2×(C2×D3)⋊C4 | 1 | 3 | yes | — |
| 300 | Q8 | — | 6 | 3 | no | — |
| 301 | Q8 | — | 6 | 3 | no | — |
| 302 | Q8 | — | 12 | 6 | no | — |
| 303 | Q8 | #825 | 1 | 4 | yes | — |
| 304 | D4 | — | 2 | 6 | no | — |
| 305 | D4 | — | 3 | 2 | no | — |
| 306 | D4 | — | 6 | 1 | no | — |
| 307 | D4 | — | 12 | 6 | no | — |
| 308 | C2×C4 | — | 2 | 6 | no | — |
| 309 | C2×C4 | — | 2 | 3 | no | — |
| 310 | C2×C4 | — | 2 | 3 | no | — |
| 311 | C2×C4 | — | 2 | 3 | no | — |
| 312 | C2×C4 | — | 2 | 3 | no | — |
| 313 | C2×C4 | — | 6 | 1 | no | — |
| 314 | C2×C4 | — | 6 | 3 | no | — |
| 315 | C2×C4 | — | 6 | 3 | no | — |
| 316 | C2×C4 | — | 12 | 6 | no | — |
| 317 | C2×C4 | — | 12 | 6 | no | — |
| 318 | C2×C4 | — | 12 | 1 | no | — |
| 319 | C2×C4 | — | 12 | 1 | no | — |
| 320 | C2×C4 | C2×(C2×D3)⋊C4 | 1 | 3 | yes | — |
| 321 | C2×C4 | C2×(C2×D3)⋊C4 | 1 | 3 | yes | — |
| 322 | C2×C4 | C2×(C2×D3)⋊C4 | 1 | 3 | yes | — |
| 323 | C2×C4 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 324 | C2×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 325 | C2×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 326 | C8 | — | 4 | 3 | no | — |
| 327 | C8 | — | 4 | 1 | no | — |
| 328 | C8 | — | 6 | 2 | no | — |
| 329 | C8 | — | 6 | 6 | no | — |
| 330 | C2×C3 | — | 4 | 3 | no | — |
| 331 | C2×C3 | #2880 | 1 | 1 | yes | characteristic |
| 332 | C2×C3 | #2898 | 1 | 1 | yes | characteristic |
| 333 | C2×C3 | C22×#104 | 1 | 1 | yes | characteristic |
| 334 | D3 | — | 4 | 2 | no | — |
| 335 | C22 | — | 2 | 3 | no | — |
| 336 | C22 | — | 2 | 3 | no | — |
| 337 | C22 | — | 2 | 3 | no | — |
| 338 | C22 | — | 6 | 2 | no | — |
| 339 | C22 | — | 12 | 1 | no | — |
| 340 | C22 | — | 12 | 1 | no | — |
| 341 | C22 | C22×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 342 | C4 | — | 2 | 1 | no | — |
| 343 | C4 | — | 2 | 3 | no | — |
| 344 | C4 | — | 2 | 3 | no | — |
| 345 | C4 | — | 12 | 3 | no | — |
| 346 | C4 | — | 12 | 3 | no | — |
| 347 | C4 | — | 12 | 1 | no | — |
| 348 | C4 | C2×#825 | 1 | 6 | yes | — |
| 349 | C4 | D3×#131 | 1 | 1 | yes | characteristic |
| 350 | C4 | #5750 | 1 | 1 | yes | characteristic |
| 351 | C4 | #5836 | 1 | 1 | yes | characteristic |
| 352 | C4 | #5838 | 1 | 1 | yes | characteristic |
| 353 | C3 | #17518 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 354 | C2 | — | 4 | 3 | no | — |
| 355 | C2 | — | 12 | 2 | no | — |
| 356 | C2 | #82570 | 1 | 1 | yes | characteristic |
| 357 | C2 | C22×#825 | 1 | 1 | yes | characteristic |
| 358 | C2 | #83793 | 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