← #11901171
Subgroups — #11901171
Order 1152.
4668 conjugacy classes of subgroups.
The subgroup lattice has 498 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C22×#3830 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C32×#534 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10596275 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10596127 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #10596119 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10596068 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10596067 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10596063 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10596057 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10595964 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C2×#64086 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #86294 | — | 3 | 4 | no | maximal |
| 13 | C22×C32×D4 | C22 | 1 | 2 | yes | — |
| 14 | C22×#638 | C22 | 1 | 2 | yes | — |
| 15 | C22×#638 | C22 | 1 | 2 | yes | complemented |
| 16 | C23×C3⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 17 | C23×C3⋊Dic3 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#3830 | — | 2 | 16 | no | — |
| 19 | C2×#3830 | C22 | 1 | 4 | yes | — |
| 20 | C2×#3830 | C22 | 1 | 4 | yes | — |
| 21 | C2×#3830 | C22 | 1 | 4 | yes | complemented |
| 22 | C2×#3830 | C22 | 1 | 4 | yes | complemented |
| 23 | C22×C4×C3⋊D3 | C22 | 1 | 2 | yes | complemented |
| 24 | C22×#634 | C22 | 1 | 2 | yes | complemented |
| 25 | C32×#123 | C22 | 1 | 4 | yes | complemented |
| 26 | C32×#121 | C22 | 1 | 4 | yes | complemented |
| 27 | C32×#120 | C22 | 1 | 4 | yes | complemented |
| 28 | C2×C32×C22⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 29 | #64162 | C22 | 1 | 4 | yes | complemented |
| 30 | C2×#3757 | C22 | 1 | 1 | yes | characteristic |
| 31 | #64149 | C22 | 1 | 4 | yes | complemented |
| 32 | #64148 | C22 | 1 | 8 | yes | complemented |
| 33 | #64148 | C22 | 1 | 8 | yes | complemented |
| 34 | #64146 | C22 | 1 | 4 | yes | complemented |
| 35 | #64144 | C22 | 1 | 4 | yes | complemented |
| 36 | D4×C3⋊Dic3 | C22 | 1 | 4 | yes | complemented |
| 37 | #64139 | C22 | 1 | 4 | yes | complemented |
| 38 | #64138 | C22 | 1 | 4 | yes | complemented |
| 39 | C2×#3750 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×C4×C3⋊Dic3 | C22 | 1 | 2 | yes | complemented |
| 41 | #64105 | C22 | 1 | 8 | yes | complemented |
| 42 | #64102 | C22 | 1 | 4 | yes | complemented |
| 43 | #64097 | C22 | 1 | 4 | yes | complemented |
| 44 | #64095 | C22 | 1 | 4 | yes | complemented |
| 45 | #64094 | C22 | 1 | 8 | yes | complemented |
| 46 | #64093 | C22 | 1 | 8 | yes | complemented |
| 47 | #64091 | C22 | 1 | 4 | yes | complemented |
| 48 | #64090 | C22 | 1 | 8 | yes | complemented |
| 49 | #64087 | C22 | 1 | 8 | yes | complemented |
| 50 | #64086 | C22 | 1 | 4 | yes | complemented |
| 51 | #64086 | C22 | 1 | 4 | yes | complemented |
| 52 | C22×#237 | — | 3 | 8 | no | — |
| 53 | C3×#534 | D3 | 1 | 4 | yes | complemented |
| 54 | #5804 | — | 3 | 8 | no | — |
| 55 | #5656 | — | 3 | 16 | no | — |
| 56 | #5648 | — | 3 | 16 | no | — |
| 57 | #5597 | — | 3 | 16 | no | — |
| 58 | #5596 | — | 3 | 16 | no | — |
| 59 | #5592 | — | 3 | 16 | no | — |
| 60 | #5586 | — | 3 | 16 | no | — |
| 61 | #5493 | — | 3 | 4 | no | — |
| 62 | C2×#877 | — | 3 | 4 | no | — |
| 63 | C24×C32 | C23 | 1 | 2 | yes | — |
| 64 | C24×C32 | C23 | 1 | 1 | yes | characteristic |
| 65 | C23×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 66 | C2×C32×D4 | — | 2 | 8 | no | — |
| 67 | C2×C32×D4 | C23 | 1 | 4 | yes | — |
| 68 | C2×C32×D4 | C23 | 1 | 4 | yes | — |
| 69 | C2×C32×D4 | C23 | 1 | 4 | yes | — |
| 70 | C22×C32×C4 | C23 | 1 | 2 | yes | — |
| 71 | C22×C32×C4 | C23 | 1 | 2 | yes | — |
| 72 | C2×#638 | — | 2 | 8 | no | — |
| 73 | C2×#638 | — | 2 | 8 | no | — |
| 74 | C2×#638 | C23 | 1 | 4 | yes | — |
| 75 | C2×#638 | C23 | 1 | 4 | yes | — |
| 76 | C2×#638 | C23 | 1 | 4 | yes | — |
| 77 | C2×#638 | C23 | 1 | 4 | yes | — |
| 78 | C2×#638 | C23 | 1 | 8 | yes | — |
| 79 | C22×C3⋊Dic3 | — | 2 | 8 | no | — |
| 80 | C22×C3⋊Dic3 | D4 | 1 | 8 | yes | complemented |
| 81 | C22×C3⋊Dic3 | C23 | 1 | 4 | yes | — |
| 82 | C22×C3⋊Dic3 | C23 | 1 | 4 | yes | — |
| 83 | C22×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 84 | C22×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 85 | C22×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 86 | C22×C3⋊Dic3 | C23 | 1 | 2 | yes | — |
| 87 | C22×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 89 | #3830 | — | 2 | 16 | no | — |
| 90 | #3830 | — | 2 | 16 | no | — |
| 91 | #3830 | — | 2 | 16 | no | — |
| 92 | #3830 | — | 2 | 16 | no | — |
| 93 | C2×C4⋊(C3⋊D3) | C23 | 1 | 4 | yes | — |
| 94 | C2×C4×C3⋊D3 | — | 2 | 8 | no | — |
| 95 | C2×C4×C3⋊D3 | C23 | 1 | 4 | yes | — |
| 96 | C2×C4×C3⋊D3 | C23 | 1 | 4 | yes | — |
| 97 | C2×#634 | — | 2 | 8 | no | — |
| 98 | C2×#634 | C23 | 1 | 4 | yes | — |
| 99 | C2×#634 | C23 | 1 | 4 | yes | — |
| 100 | C32×C4⋊C4 | C23 | 1 | 4 | yes | — |
| 101 | C32×C22⋊C4 | C23 | 1 | 4 | yes | — |
| 102 | C32×C22⋊C4 | C23 | 1 | 8 | yes | — |
| 103 | #3757 | C23 | 1 | 4 | yes | — |
| 104 | #3757 | C23 | 1 | 8 | yes | — |
| 105 | #3752 | C23 | 1 | 8 | yes | — |
| 106 | #3752 | C23 | 1 | 8 | yes | — |
| 107 | C4⋊(C3⋊Dic3) | C23 | 1 | 4 | yes | — |
| 108 | #3750 | C23 | 1 | 8 | yes | — |
| 109 | #3750 | C23 | 1 | 8 | yes | — |
| 110 | C4×C3⋊Dic3 | C23 | 1 | 4 | yes | — |
| 111 | C4×C3⋊Dic3 | C23 | 1 | 4 | yes | — |
| 112 | #3449 | — | 9 | 1 | no | Sylow |
| 113 | C22×C3×D4 | C2×D3 | 1 | 8 | yes | — |
| 114 | C22×#67 | — | 3 | 8 | no | — |
| 115 | C22×#67 | — | 3 | 8 | no | — |
| 116 | C23×Dic3 | — | 3 | 4 | no | — |
| 117 | C23×Dic3 | — | 3 | 8 | no | — |
| 118 | C2×#237 | — | 3 | 16 | no | — |
| 119 | C2×#237 | — | 3 | 16 | no | — |
| 120 | C2×#237 | — | 3 | 16 | no | — |
| 121 | C2×#237 | — | 3 | 16 | no | — |
| 122 | C2×#237 | — | 6 | 64 | no | — |
| 123 | C22×C4×D3 | — | 3 | 8 | no | — |
| 124 | C22×Dic6 | — | 3 | 8 | no | — |
| 125 | C3×#123 | C2×D3 | 1 | 16 | yes | complemented |
| 126 | C3×#121 | C2×D3 | 1 | 16 | yes | complemented |
| 127 | C3×#120 | C2×D3 | 1 | 16 | yes | complemented |
| 128 | C2×C3×C22⋊C4 | C2×D3 | 1 | 4 | yes | — |
| 129 | #953 | — | 3 | 16 | no | — |
| 130 | C2×#217 | — | 3 | 4 | no | — |
| 131 | #940 | — | 3 | 16 | no | — |
| 132 | #939 | — | 3 | 32 | no | — |
| 133 | #939 | — | 3 | 32 | no | — |
| 134 | #937 | — | 3 | 16 | no | — |
| 135 | #935 | — | 3 | 16 | no | — |
| 136 | D4×Dic3 | — | 3 | 16 | no | — |
| 137 | #930 | — | 3 | 16 | no | — |
| 138 | #929 | — | 3 | 16 | no | — |
| 139 | C2×Dic3⋊C4 | — | 3 | 8 | no | — |
| 140 | C2×C4×Dic3 | — | 3 | 8 | no | — |
| 141 | #896 | — | 3 | 32 | no | — |
| 142 | #893 | — | 3 | 16 | no | — |
| 143 | #888 | — | 3 | 16 | no | — |
| 144 | #886 | — | 3 | 16 | no | — |
| 145 | #885 | — | 3 | 32 | no | — |
| 146 | #884 | — | 3 | 32 | no | — |
| 147 | #882 | — | 3 | 16 | no | — |
| 148 | #67⋊C4 | — | 3 | 32 | no | — |
| 149 | #878 | — | 3 | 32 | no | — |
| 150 | #877 | — | 3 | 16 | no | — |
| 151 | #877 | — | 3 | 16 | no | — |
| 152 | C23×C32 | — | 2 | 4 | no | — |
| 153 | C23×C32 | — | 4 | 2 | no | — |
| 154 | C23×C32 | — | 4 | 4 | no | — |
| 155 | C23×C32 | C2×D4 | 1 | 4 | yes | — |
| 156 | C23×C32 | C24 | 1 | 4 | yes | — |
| 157 | C23×C32 | C24 | 1 | 2 | yes | — |
| 158 | C23×C32 | C24 | 1 | 1 | yes | characteristic |
| 159 | C22×C3⋊D3 | — | 2 | 4 | no | — |
| 160 | C22×C3⋊D3 | — | 4 | 4 | no | — |
| 161 | C22×C3⋊D3 | C24 | 1 | 4 | yes | — |
| 162 | C32×D4 | — | 2 | 8 | no | — |
| 163 | C32×D4 | — | 2 | 8 | no | — |
| 164 | C32×D4 | — | 4 | 4 | no | — |
| 165 | C2×C32×C4 | — | 2 | 4 | no | — |
| 166 | C2×C32×C4 | — | 4 | 2 | no | — |
| 167 | C2×C32×C4 | C24 | 1 | 4 | yes | — |
| 168 | C2×C32×C4 | C24 | 1 | 4 | yes | — |
| 169 | #638 | — | 2 | 8 | no | — |
| 170 | #638 | — | 2 | 8 | no | — |
| 171 | #638 | — | 2 | 8 | no | — |
| 172 | #638 | — | 2 | 8 | no | — |
| 173 | #638 | — | 4 | 8 | no | — |
| 174 | C2×C3⋊Dic3 | — | 2 | 4 | no | — |
| 175 | C2×C3⋊Dic3 | — | 2 | 8 | no | — |
| 176 | C2×C3⋊Dic3 | — | 2 | 8 | no | — |
| 177 | C2×C3⋊Dic3 | — | 4 | 2 | no | — |
| 178 | C2×C3⋊Dic3 | C2×D4 | 1 | 8 | yes | — |
| 179 | C2×C3⋊Dic3 | C2×D4 | 1 | 8 | yes | — |
| 180 | C2×C3⋊Dic3 | C2×D4 | 1 | 4 | yes | — |
| 181 | C2×C3⋊Dic3 | C2×D4 | 1 | 4 | yes | — |
| 182 | C2×C3⋊Dic3 | C24 | 1 | 4 | yes | — |
| 183 | C2×C3⋊Dic3 | C24 | 1 | 4 | yes | — |
| 184 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 185 | C2×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 186 | C2×C3⋊Dic3 | C24 | 1 | 2 | yes | — |
| 187 | C4⋊(C3⋊D3) | — | 4 | 4 | no | — |
| 188 | C4×C3⋊D3 | — | 2 | 8 | no | — |
| 189 | C4×C3⋊D3 | — | 2 | 8 | no | — |
| 190 | #634 | — | 2 | 8 | no | — |
| 191 | #634 | — | 2 | 8 | no | — |
| 192 | C22×#41 | — | 9 | 2 | no | — |
| 193 | #537 | — | 9 | 4 | no | — |
| 194 | #536 | — | 9 | 4 | no | — |
| 195 | #535 | — | 9 | 4 | no | — |
| 196 | #534 | — | 9 | 2 | no | — |
| 197 | #534 | — | 9 | 1 | no | — |
| 198 | #534 | C3⋊D3 | 1 | 1 | yes | characteristic, complemented |
| 199 | #532 | — | 9 | 4 | no | — |
| 200 | #525 | — | 9 | 4 | no | — |
| 201 | #525 | — | 9 | 4 | no | — |
| 202 | C2×#117 | — | 9 | 1 | no | — |
| 203 | C24×C3 | C22×D3 | 1 | 8 | yes | — |
| 204 | C24×C3 | C22×D3 | 1 | 4 | yes | — |
| 205 | C23×D3 | — | 3 | 8 | no | — |
| 206 | C2×C3×D4 | — | 2 | 32 | no | — |
| 207 | C2×C3×D4 | C22×D3 | 1 | 16 | yes | — |
| 208 | C2×C3×D4 | C22×D3 | 1 | 16 | yes | — |
| 209 | C2×C3×D4 | C22×D3 | 1 | 16 | yes | — |
| 210 | C22×C3×C4 | C22×D3 | 1 | 8 | yes | — |
| 211 | C22×C3×C4 | C22×D3 | 1 | 8 | yes | — |
| 212 | C2×#67 | — | 3 | 16 | no | — |
| 213 | C2×#67 | — | 3 | 16 | no | — |
| 214 | C2×#67 | — | 3 | 16 | no | — |
| 215 | C2×#67 | — | 3 | 16 | no | — |
| 216 | C2×#67 | — | 3 | 32 | no | — |
| 217 | C2×#67 | — | 6 | 32 | no | — |
| 218 | C2×#67 | — | 6 | 32 | no | — |
| 219 | C22×Dic3 | — | 3 | 32 | no | — |
| 220 | C22×Dic3 | — | 3 | 8 | no | — |
| 221 | C22×Dic3 | — | 3 | 8 | no | — |
| 222 | C22×Dic3 | — | 3 | 4 | no | — |
| 223 | C22×Dic3 | — | 3 | 4 | no | — |
| 224 | C22×Dic3 | — | 3 | 16 | no | — |
| 225 | C22×Dic3 | — | 3 | 16 | no | — |
| 226 | C22×Dic3 | — | 3 | 8 | no | — |
| 227 | C22×Dic3 | — | 3 | 8 | no | — |
| 228 | C22×Dic3 | — | 6 | 32 | no | — |
| 229 | #237 | — | 6 | 64 | no | — |
| 230 | #237 | — | 6 | 64 | no | — |
| 231 | #237 | — | 6 | 64 | no | — |
| 232 | #237 | — | 6 | 64 | no | — |
| 233 | C2×D12 | — | 3 | 16 | no | — |
| 234 | C2×C4×D3 | — | 3 | 16 | no | — |
| 235 | C2×C4×D3 | — | 3 | 16 | no | — |
| 236 | C2×C4×D3 | — | 6 | 32 | no | — |
| 237 | C2×Dic6 | — | 3 | 16 | no | — |
| 238 | C2×Dic6 | — | 3 | 16 | no | — |
| 239 | C2×Dic6 | — | 6 | 32 | no | — |
| 240 | C3×C4⋊C4 | C22×D3 | 1 | 16 | yes | — |
| 241 | C3×C22⋊C4 | C22×D3 | 1 | 16 | yes | — |
| 242 | C3×C22⋊C4 | C22×D3 | 1 | 32 | yes | — |
| 243 | #217 | — | 3 | 16 | no | — |
| 244 | #217 | — | 3 | 32 | no | — |
| 245 | (C2×D3)⋊C4 | — | 3 | 32 | no | — |
| 246 | (C2×D3)⋊C4 | — | 3 | 32 | no | — |
| 247 | C4⋊Dic3 | — | 3 | 16 | no | — |
| 248 | Dic3⋊C4 | — | 3 | 32 | no | — |
| 249 | Dic3⋊C4 | — | 3 | 32 | no | — |
| 250 | C4×Dic3 | — | 3 | 16 | no | — |
| 251 | C4×Dic3 | — | 3 | 16 | no | — |
| 252 | C22×C32 | — | 2 | 2 | no | — |
| 253 | C22×C32 | — | 2 | 4 | no | — |
| 254 | C22×C32 | — | 2 | 4 | no | — |
| 255 | C22×C32 | — | 2 | 8 | no | — |
| 256 | C22×C32 | — | 4 | 4 | no | — |
| 257 | C22×C32 | — | 4 | 8 | no | — |
| 258 | C22×C32 | C22×D4 | 1 | 4 | yes | — |
| 259 | C22×C32 | C22×D4 | 1 | 2 | yes | — |
| 260 | C22×C32 | C25 | 1 | 1 | yes | characteristic |
| 261 | C2×C3⋊D3 | — | 2 | 4 | no | — |
| 262 | C2×C3⋊D3 | — | 2 | 8 | no | — |
| 263 | C2×C3⋊D3 | — | 4 | 8 | no | — |
| 264 | C32×C4 | — | 2 | 4 | no | — |
| 265 | C32×C4 | — | 2 | 4 | no | — |
| 266 | C3⋊Dic3 | — | 2 | 4 | no | — |
| 267 | C3⋊Dic3 | — | 2 | 4 | no | — |
| 268 | C3⋊Dic3 | C22×D4 | 1 | 2 | yes | — |
| 269 | C3⋊Dic3 | C22×D4 | 1 | 4 | yes | — |
| 270 | C3⋊Dic3 | C22×D4 | 1 | 2 | yes | — |
| 271 | C2×#41 | — | 9 | 4 | no | — |
| 272 | C2×#41 | — | 9 | 4 | no | — |
| 273 | C2×#41 | — | 9 | 4 | no | — |
| 274 | C2×#41 | — | 9 | 4 | no | — |
| 275 | C2×#41 | — | 18 | 16 | no | — |
| 276 | C22×Q8 | — | 9 | 2 | no | — |
| 277 | C22×D4 | — | 9 | 2 | no | — |
| 278 | C22×D4 | — | 9 | 2 | no | — |
| 279 | C22×D4 | C2×C3⋊D3 | 1 | 2 | yes | — |
| 280 | C23×C4 | — | 9 | 1 | no | — |
| 281 | C23×C4 | — | 9 | 2 | no | — |
| 282 | C23×C4 | — | 9 | 2 | no | — |
| 283 | C4⋊Q8 | — | 9 | 4 | no | — |
| 284 | #127 | — | 9 | 4 | no | — |
| 285 | #124 | — | 9 | 8 | no | — |
| 286 | #123 | — | 9 | 4 | no | — |
| 287 | #123 | — | 9 | 4 | no | — |
| 288 | #123 | — | 9 | 4 | no | — |
| 289 | #123 | C2×C3⋊D3 | 1 | 4 | yes | complemented |
| 290 | C22⋊Q8 | — | 9 | 8 | no | — |
| 291 | C22⋊Q8 | — | 9 | 8 | no | — |
| 292 | #121 | — | 9 | 8 | no | — |
| 293 | #121 | — | 9 | 8 | no | — |
| 294 | #121 | — | 9 | 4 | no | — |
| 295 | #121 | — | 9 | 8 | no | — |
| 296 | #121 | C2×C3⋊D3 | 1 | 4 | yes | complemented |
| 297 | #120 | — | 9 | 4 | no | — |
| 298 | #120 | — | 9 | 4 | no | — |
| 299 | #120 | — | 9 | 4 | no | — |
| 300 | #120 | C2×C3⋊D3 | 1 | 4 | yes | complemented |
| 301 | C4×D4 | — | 9 | 4 | no | — |
| 302 | C4×D4 | — | 9 | 4 | no | — |
| 303 | C4×D4 | — | 9 | 8 | no | — |
| 304 | #117 | — | 9 | 4 | no | — |
| 305 | #117 | — | 9 | 4 | no | — |
| 306 | C2×C4⋊C4 | — | 9 | 2 | no | — |
| 307 | C2×C22⋊C4 | — | 9 | 1 | no | — |
| 308 | C2×C22⋊C4 | C2×C3⋊D3 | 1 | 1 | yes | characteristic |
| 309 | C2×C42 | — | 9 | 2 | no | — |
| 310 | C23×C3 | — | 2 | 16 | no | — |
| 311 | C23×C3 | — | 4 | 8 | no | — |
| 312 | C23×C3 | — | 4 | 16 | no | — |
| 313 | C23×C3 | D3×D4 | 1 | 16 | yes | — |
| 314 | C23×C3 | C23×D3 | 1 | 16 | yes | — |
| 315 | C23×C3 | C23×D3 | 1 | 8 | yes | — |
| 316 | C23×C3 | C23×D3 | 1 | 4 | yes | — |
| 317 | C22×D3 | — | 3 | 16 | no | — |
| 318 | C22×D3 | — | 6 | 16 | no | — |
| 319 | C22×D3 | — | 12 | 16 | no | — |
| 320 | C3×D4 | — | 2 | 32 | no | — |
| 321 | C3×D4 | — | 2 | 32 | no | — |
| 322 | C3×D4 | — | 4 | 16 | no | — |
| 323 | C2×C3×C4 | — | 2 | 16 | no | — |
| 324 | C2×C3×C4 | — | 4 | 8 | no | — |
| 325 | C2×C3×C4 | C23×D3 | 1 | 16 | yes | — |
| 326 | C2×C3×C4 | C23×D3 | 1 | 16 | yes | — |
| 327 | #67 | — | 6 | 32 | no | — |
| 328 | #67 | — | 6 | 32 | no | — |
| 329 | #67 | — | 6 | 32 | no | — |
| 330 | #67 | — | 6 | 32 | no | — |
| 331 | #67 | — | 12 | 32 | no | — |
| 332 | C2×Dic3 | — | 3 | 32 | no | — |
| 333 | C2×Dic3 | — | 3 | 32 | no | — |
| 334 | C2×Dic3 | — | 3 | 16 | no | — |
| 335 | C2×Dic3 | — | 3 | 16 | no | — |
| 336 | C2×Dic3 | — | 3 | 4 | no | — |
| 337 | C2×Dic3 | — | 3 | 4 | no | — |
| 338 | C2×Dic3 | — | 3 | 8 | no | — |
| 339 | C2×Dic3 | — | 3 | 16 | no | — |
| 340 | C2×Dic3 | — | 3 | 16 | no | — |
| 341 | C2×Dic3 | — | 6 | 32 | no | — |
| 342 | C2×Dic3 | — | 6 | 32 | no | — |
| 343 | C2×Dic3 | — | 6 | 16 | no | — |
| 344 | C2×Dic3 | — | 12 | 8 | no | — |
| 345 | D12 | — | 12 | 16 | no | — |
| 346 | C4×D3 | — | 6 | 32 | no | — |
| 347 | C4×D3 | — | 6 | 32 | no | — |
| 348 | Dic6 | — | 6 | 32 | no | — |
| 349 | Dic6 | — | 6 | 32 | no | — |
| 350 | C2×C32 | — | 2 | 4 | no | — |
| 351 | C2×C32 | — | 2 | 2 | no | — |
| 352 | C2×C32 | — | 4 | 4 | no | — |
| 353 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 354 | C2×C32 | #585 | 1 | 2 | yes | — |
| 355 | C3⋊D3 | — | 4 | 4 | no | — |
| 356 | C24 | — | 9 | 2 | no | — |
| 357 | C24 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 358 | C24 | C22×C3⋊D3 | 1 | 1 | yes | characteristic |
| 359 | #41 | — | 18 | 16 | no | — |
| 360 | #41 | — | 18 | 16 | no | — |
| 361 | #41 | — | 18 | 16 | no | — |
| 362 | #41 | — | 18 | 16 | no | — |
| 363 | C2×Q8 | — | 9 | 4 | no | — |
| 364 | C2×Q8 | — | 9 | 4 | no | — |
| 365 | C2×Q8 | — | 18 | 8 | no | — |
| 366 | C2×D4 | — | 2 | 8 | no | — |
| 367 | C2×D4 | — | 9 | 4 | no | — |
| 368 | C2×D4 | — | 9 | 4 | no | — |
| 369 | C2×D4 | — | 9 | 4 | no | — |
| 370 | C2×D4 | — | 9 | 4 | no | — |
| 371 | C2×D4 | — | 9 | 8 | no | — |
| 372 | C2×D4 | — | 9 | 4 | no | — |
| 373 | C2×D4 | — | 18 | 8 | no | — |
| 374 | C2×D4 | — | 18 | 8 | no | — |
| 375 | C2×D4 | C22×C3⋊D3 | 1 | 4 | yes | — |
| 376 | C2×D4 | C22×C3⋊D3 | 1 | 4 | yes | — |
| 377 | C2×D4 | C22×C3⋊D3 | 1 | 4 | yes | — |
| 378 | C22×C4 | — | 9 | 1 | no | — |
| 379 | C22×C4 | — | 9 | 1 | no | — |
| 380 | C22×C4 | — | 9 | 2 | no | — |
| 381 | C22×C4 | — | 9 | 2 | no | — |
| 382 | C22×C4 | — | 9 | 8 | no | — |
| 383 | C22×C4 | — | 9 | 4 | no | — |
| 384 | C22×C4 | — | 9 | 4 | no | — |
| 385 | C22×C4 | — | 9 | 2 | no | — |
| 386 | C22×C4 | — | 9 | 2 | no | — |
| 387 | C22×C4 | — | 9 | 4 | no | — |
| 388 | C22×C4 | — | 9 | 4 | no | — |
| 389 | C22×C4 | — | 18 | 8 | no | — |
| 390 | C22×C4 | — | 18 | 8 | no | — |
| 391 | C22×C4 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 392 | C22×C4 | C22×C3⋊D3 | 1 | 2 | yes | — |
| 393 | C4⋊C4 | — | 9 | 8 | no | — |
| 394 | C4⋊C4 | — | 9 | 8 | no | — |
| 395 | C4⋊C4 | — | 9 | 4 | no | — |
| 396 | C4⋊C4 | C22×C3⋊D3 | 1 | 4 | yes | — |
| 397 | C22⋊C4 | — | 9 | 4 | no | — |
| 398 | C22⋊C4 | — | 9 | 8 | no | — |
| 399 | C22⋊C4 | — | 9 | 8 | no | — |
| 400 | C22⋊C4 | — | 9 | 8 | no | — |
| 401 | C22⋊C4 | C22×C3⋊D3 | 1 | 4 | yes | — |
| 402 | C22⋊C4 | C22×C3⋊D3 | 1 | 8 | yes | — |
| 403 | C42 | — | 9 | 4 | no | — |
| 404 | C42 | — | 9 | 4 | no | — |
| 405 | C22×C3 | — | 2 | 8 | no | — |
| 406 | C22×C3 | — | 2 | 16 | no | — |
| 407 | C22×C3 | — | 2 | 16 | no | — |
| 408 | C22×C3 | — | 2 | 32 | no | — |
| 409 | C22×C3 | — | 4 | 16 | no | — |
| 410 | C22×C3 | — | 4 | 32 | no | — |
| 411 | C22×C3 | C2×D3×D4 | 1 | 16 | yes | — |
| 412 | C22×C3 | C2×D3×D4 | 1 | 8 | yes | — |
| 413 | C22×C3 | C24×D3 | 1 | 4 | yes | — |
| 414 | C2×D3 | — | 6 | 16 | no | — |
| 415 | C2×D3 | — | 6 | 32 | no | — |
| 416 | C2×D3 | — | 12 | 32 | no | — |
| 417 | C3×C4 | — | 2 | 16 | no | — |
| 418 | C3×C4 | — | 2 | 16 | no | — |
| 419 | Dic3 | — | 3 | 8 | no | — |
| 420 | Dic3 | — | 3 | 16 | no | — |
| 421 | Dic3 | — | 3 | 8 | no | — |
| 422 | Dic3 | — | 6 | 16 | no | — |
| 423 | Dic3 | — | 6 | 16 | no | — |
| 424 | C32 | #3449 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 425 | C23 | — | 2 | 4 | no | — |
| 426 | C23 | — | 4 | 2 | no | — |
| 427 | C23 | — | 4 | 4 | no | — |
| 428 | C23 | — | 9 | 4 | no | — |
| 429 | C23 | — | 18 | 4 | no | — |
| 430 | C23 | — | 36 | 4 | no | — |
| 431 | C23 | D4×C3⋊D3 | 1 | 4 | yes | — |
| 432 | C23 | C23×C3⋊D3 | 1 | 4 | yes | — |
| 433 | C23 | C23×C3⋊D3 | 1 | 2 | yes | — |
| 434 | C23 | C23×C3⋊D3 | 1 | 1 | yes | characteristic |
| 435 | Q8 | — | 18 | 8 | no | — |
| 436 | Q8 | — | 18 | 8 | no | — |
| 437 | D4 | — | 2 | 8 | no | — |
| 438 | D4 | — | 2 | 8 | no | — |
| 439 | D4 | — | 4 | 4 | no | — |
| 440 | D4 | — | 18 | 8 | no | — |
| 441 | D4 | — | 18 | 8 | no | — |
| 442 | D4 | — | 18 | 8 | no | — |
| 443 | D4 | — | 18 | 8 | no | — |
| 444 | D4 | — | 36 | 4 | no | — |
| 445 | D4 | — | 36 | 8 | no | — |
| 446 | C2×C4 | — | 2 | 4 | no | — |
| 447 | C2×C4 | — | 4 | 2 | no | — |
| 448 | C2×C4 | — | 9 | 8 | no | — |
| 449 | C2×C4 | — | 9 | 8 | no | — |
| 450 | C2×C4 | — | 9 | 4 | no | — |
| 451 | C2×C4 | — | 9 | 4 | no | — |
| 452 | C2×C4 | — | 9 | 1 | no | — |
| 453 | C2×C4 | — | 9 | 1 | no | — |
| 454 | C2×C4 | — | 9 | 2 | no | — |
| 455 | C2×C4 | — | 9 | 4 | no | — |
| 456 | C2×C4 | — | 9 | 4 | no | — |
| 457 | C2×C4 | — | 18 | 8 | no | — |
| 458 | C2×C4 | — | 18 | 8 | no | — |
| 459 | C2×C4 | — | 18 | 8 | no | — |
| 460 | C2×C4 | — | 18 | 8 | no | — |
| 461 | C2×C4 | — | 18 | 4 | no | — |
| 462 | C2×C4 | — | 36 | 2 | no | — |
| 463 | C2×C4 | C23×C3⋊D3 | 1 | 4 | yes | — |
| 464 | C2×C4 | C23×C3⋊D3 | 1 | 4 | yes | — |
| 465 | C2×C3 | — | 2 | 16 | no | — |
| 466 | C2×C3 | — | 2 | 8 | no | — |
| 467 | C2×C3 | — | 4 | 16 | no | — |
| 468 | C2×C3 | C22×D3×D4 | 1 | 4 | yes | — |
| 469 | C2×C3 | #5966 | 1 | 8 | yes | — |
| 470 | D3 | — | 12 | 16 | no | — |
| 471 | C22 | — | 2 | 2 | no | — |
| 472 | C22 | — | 2 | 4 | no | — |
| 473 | C22 | — | 2 | 4 | no | — |
| 474 | C22 | — | 2 | 8 | no | — |
| 475 | C22 | — | 4 | 4 | no | — |
| 476 | C22 | — | 4 | 8 | no | — |
| 477 | C22 | — | 18 | 4 | no | — |
| 478 | C22 | — | 18 | 8 | no | — |
| 479 | C22 | — | 36 | 8 | no | — |
| 480 | C22 | C2×D4×C3⋊D3 | 1 | 4 | yes | — |
| 481 | C22 | C2×D4×C3⋊D3 | 1 | 2 | yes | — |
| 482 | C22 | C24×C3⋊D3 | 1 | 1 | yes | characteristic |
| 483 | C4 | — | 2 | 4 | no | — |
| 484 | C4 | — | 2 | 4 | no | — |
| 485 | C4 | — | 9 | 2 | no | — |
| 486 | C4 | — | 9 | 4 | no | — |
| 487 | C4 | — | 9 | 2 | no | — |
| 488 | C4 | — | 18 | 4 | no | — |
| 489 | C4 | — | 18 | 4 | no | — |
| 490 | C3 | #86294 | 1 | 4 | yes | complemented |
| 491 | C2 | — | 2 | 4 | no | — |
| 492 | C2 | — | 2 | 2 | no | — |
| 493 | C2 | — | 4 | 4 | no | — |
| 494 | C2 | — | 36 | 4 | no | — |
| 495 | C2 | C22×D4×C3⋊D3 | 1 | 1 | yes | characteristic |
| 496 | C2 | #10596758 | 1 | 2 | yes | — |
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