← #30549563
Subgroups — #30549563
Order 15616.
3114 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | C2×#16840577 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #21459604 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #21456310 | C2 | 1 | 12 | yes | maximal, complemented |
| 4 | #21456279 | C2 | 1 | 3 | yes | maximal, complemented |
| 5 | #21456276 | C2 | 1 | 3 | yes | maximal, complemented |
| 6 | #21456245 | C2 | 1 | 3 | yes | maximal, complemented |
| 7 | C2×#16840141 | C2 | 1 | 3 | yes | maximal, complemented |
| 8 | C4×#14519784 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C61×#3499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#14519824 | C22 | 1 | 2 | yes | — |
| 11 | #16840577 | — | 2 | 32 | no | — |
| 12 | C2×#14519808 | C22 | 1 | 12 | yes | — |
| 13 | C2×#14519807 | C22 | 1 | 12 | yes | — |
| 14 | C2×#14519797 | C22 | 1 | 12 | yes | — |
| 15 | C22×#11758202 | C22 | 1 | 12 | yes | — |
| 16 | C2×#14519784 | C22 | 1 | 2 | yes | — |
| 17 | Q8×D244 | — | 2 | 2 | no | — |
| 18 | #16840416 | — | 2 | 6 | no | — |
| 19 | #16840338 | C22 | 1 | 6 | yes | — |
| 20 | #16840312 | C22 | 1 | 3 | yes | — |
| 21 | C2×#14519777 | C22 | 1 | 3 | yes | — |
| 22 | #16840157 | C22 | 1 | 12 | yes | — |
| 23 | #16840154 | C22 | 1 | 12 | yes | — |
| 24 | #16840144 | C22 | 1 | 12 | yes | — |
| 25 | #16840141 | C22 | 1 | 3 | yes | — |
| 26 | #16840141 | C22 | 1 | 6 | yes | — |
| 27 | #16840141 | C22 | 1 | 12 | yes | — |
| 28 | #16840138 | C22 | 1 | 1 | yes | characteristic |
| 29 | #16840136 | C22 | 1 | 3 | yes | — |
| 30 | #16840134 | C22 | 1 | 3 | yes | — |
| 31 | #16839718 | C22 | 1 | 6 | yes | — |
| 32 | C4×#11758194 | C22 | 1 | 3 | yes | — |
| 33 | C2×C4×#92418 | C22 | 1 | 3 | yes | — |
| 34 | C2×2−1+4×C61 | C22 | 1 | 2 | yes | — |
| 35 | D4×Q8×C61 | — | 2 | 2 | no | — |
| 36 | C61×#547 | — | 2 | 6 | no | — |
| 37 | C61×#536 | C22 | 1 | 6 | yes | — |
| 38 | C61×#532 | C22 | 1 | 3 | yes | — |
| 39 | C2×C4⋊Q8×C61 | C22 | 1 | 3 | yes | — |
| 40 | C4×#41×C61 | C22 | 1 | 1 | yes | characteristic |
| 41 | #14519824 | — | 2 | 16 | no | — |
| 42 | C2×#11758222 | C23 | 1 | 6 | yes | — |
| 43 | C2×#11758224 | — | 2 | 6 | no | — |
| 44 | C22×Dic122 | C23 | 1 | 6 | yes | — |
| 45 | C2×Q8×D61 | — | 2 | 2 | no | — |
| 46 | #14519808 | — | 2 | 48 | no | — |
| 47 | #14519807 | — | 2 | 48 | no | — |
| 48 | #14519797 | — | 2 | 48 | no | — |
| 49 | C2×#11758202 | — | 2 | 48 | no | — |
| 50 | C2×#11758202 | C23 | 1 | 12 | yes | — |
| 51 | C2×#11758202 | C23 | 1 | 24 | yes | — |
| 52 | C2×#11758200 | C23 | 1 | 12 | yes | — |
| 53 | C2×#11758201 | C23 | 1 | 12 | yes | — |
| 54 | C2×#11758199 | C23 | 1 | 4 | yes | — |
| 55 | #14519784 | D4 | 1 | 16 | yes | complemented |
| 56 | C2×#11758194 | C23 | 1 | 6 | yes | — |
| 57 | C22×#92418 | C23 | 1 | 6 | yes | — |
| 58 | #14519777 | — | 2 | 6 | no | — |
| 59 | #14519777 | C23 | 1 | 3 | yes | — |
| 60 | #14519777 | C23 | 1 | 6 | yes | — |
| 61 | #14519774 | C23 | 1 | 1 | yes | characteristic |
| 62 | #14519765 | C23 | 1 | 6 | yes | — |
| 63 | #14519761 | — | 2 | 12 | no | — |
| 64 | #14519757 | — | 2 | 12 | no | — |
| 65 | #14519751 | — | 2 | 6 | no | — |
| 66 | C4×D244 | — | 2 | 6 | no | — |
| 67 | C2×C4⋊Dic61 | — | 2 | 6 | no | — |
| 68 | #14519688 | C23 | 1 | 6 | yes | — |
| 69 | C4×#92418 | C23 | 1 | 1 | yes | characteristic |
| 70 | C4×#92418 | C23 | 1 | 3 | yes | — |
| 71 | C4×#92418 | C23 | 1 | 6 | yes | — |
| 72 | 2−1+4×C61 | — | 2 | 16 | no | — |
| 73 | C2×#41×C61 | — | 2 | 6 | no | — |
| 74 | C2×#41×C61 | C23 | 1 | 6 | yes | — |
| 75 | C2×#41×C61 | C23 | 1 | 1 | yes | characteristic |
| 76 | C22×Q8×C61 | — | 2 | 2 | no | — |
| 77 | C22×Q8×C61 | C23 | 1 | 6 | yes | — |
| 78 | C4⋊Q8×C61 | — | 2 | 6 | no | — |
| 79 | C4⋊Q8×C61 | C23 | 1 | 3 | yes | — |
| 80 | C4⋊Q8×C61 | C23 | 1 | 6 | yes | — |
| 81 | #127×C61 | C23 | 1 | 1 | yes | characteristic |
| 82 | #124×C61 | C23 | 1 | 6 | yes | — |
| 83 | #123×C61 | — | 2 | 12 | no | — |
| 84 | C22⋊Q8×C61 | — | 2 | 12 | no | — |
| 85 | #121×C61 | — | 2 | 6 | no | — |
| 86 | C4×Q8×C61 | D4 | 1 | 2 | yes | — |
| 87 | C4×D4×C61 | — | 2 | 6 | no | — |
| 88 | C4×D4×C61 | D4 | 1 | 6 | yes | — |
| 89 | #117×C61 | C23 | 1 | 3 | yes | — |
| 90 | C2×C4⋊C4×C61 | — | 2 | 6 | no | — |
| 91 | C2×C42×C61 | C23 | 1 | 3 | yes | — |
| 92 | #41×C61 | — | 2 | 24 | no | — |
| 93 | #41×C61 | — | 4 | 24 | no | — |
| 94 | #41×C61 | C2×D4 | 1 | 8 | yes | — |
| 95 | C2×Q8×C61 | — | 2 | 6 | no | — |
| 96 | C2×Q8×C61 | — | 2 | 24 | no | — |
| 97 | C2×Q8×C61 | — | 4 | 8 | no | — |
| 98 | C2×Q8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 99 | C2×Q8×C61 | C24 | 1 | 6 | yes | — |
| 100 | C2×D4×C61 | — | 2 | 6 | no | — |
| 101 | C2×D4×C61 | — | 2 | 2 | no | — |
| 102 | C2×D4×C61 | C2×D4 | 1 | 3 | yes | — |
| 103 | C2×D4×C61 | C24 | 1 | 2 | yes | — |
| 104 | C22×C4×C61 | — | 2 | 6 | no | — |
| 105 | C22×C4×C61 | — | 2 | 6 | no | — |
| 106 | C22×C4×C61 | C2×D4 | 1 | 6 | yes | — |
| 107 | C22×C4×C61 | C24 | 1 | 3 | yes | — |
| 108 | C2×C22⋊D61 | — | 2 | 6 | no | — |
| 109 | C22×Dic61 | — | 2 | 6 | no | — |
| 110 | Q8×D61 | — | 4 | 8 | no | — |
| 111 | #11758224 | — | 4 | 24 | no | — |
| 112 | #11758222 | — | 2 | 24 | no | — |
| 113 | C2×D244 | — | 2 | 2 | no | — |
| 114 | C2×D244 | C24 | 1 | 2 | yes | — |
| 115 | C2×C4×D61 | — | 2 | 6 | no | — |
| 116 | C2×Dic122 | — | 2 | 24 | no | — |
| 117 | C2×Dic122 | — | 2 | 6 | no | — |
| 118 | C2×Dic122 | C24 | 1 | 6 | yes | — |
| 119 | C4⋊C4×C61 | — | 2 | 6 | no | — |
| 120 | C4⋊C4×C61 | — | 2 | 12 | no | — |
| 121 | C4⋊C4×C61 | C2×D4 | 1 | 6 | yes | — |
| 122 | C22⋊C4×C61 | — | 2 | 12 | no | — |
| 123 | C22⋊C4×C61 | C2×D4 | 1 | 6 | yes | — |
| 124 | C42×C61 | C2×D4 | 1 | 6 | yes | — |
| 125 | C42×C61 | C24 | 1 | 1 | yes | characteristic |
| 126 | C42×C61 | C24 | 1 | 3 | yes | — |
| 127 | #11758202 | — | 2 | 48 | no | — |
| 128 | #11758202 | — | 2 | 24 | no | — |
| 129 | #11758201 | — | 2 | 24 | no | — |
| 130 | #11758200 | — | 2 | 24 | no | — |
| 131 | #11758199 | — | 2 | 8 | no | — |
| 132 | #11758198 | — | 2 | 12 | no | — |
| 133 | C4⋊Dic61 | — | 2 | 6 | no | — |
| 134 | C4⋊Dic61 | — | 2 | 12 | no | — |
| 135 | #11758194 | C2×D4 | 1 | 24 | yes | — |
| 136 | C2×#92418 | C2×D4 | 1 | 24 | yes | — |
| 137 | C2×#92418 | C24 | 1 | 2 | yes | — |
| 138 | C2×#92418 | C24 | 1 | 6 | yes | — |
| 139 | C23×C61 | — | 2 | 2 | no | — |
| 140 | C23×C61 | C22×D4 | 1 | 3 | yes | — |
| 141 | C22×D61 | — | 2 | 2 | no | — |
| 142 | Q8×C61 | — | 2 | 12 | no | — |
| 143 | Q8×C61 | — | 4 | 12 | no | — |
| 144 | Q8×C61 | #127 | 1 | 4 | yes | — |
| 145 | D4×C61 | — | 2 | 4 | no | — |
| 146 | D4×C61 | — | 4 | 12 | no | — |
| 147 | D4×C61 | — | 4 | 4 | no | — |
| 148 | D4×C61 | #127 | 1 | 12 | yes | — |
| 149 | C2×C4×C61 | — | 2 | 12 | no | — |
| 150 | C2×C4×C61 | — | 2 | 6 | no | — |
| 151 | C2×C4×C61 | — | 4 | 12 | no | — |
| 152 | C2×C4×C61 | — | 4 | 12 | no | — |
| 153 | C2×C4×C61 | C22×D4 | 1 | 6 | yes | — |
| 154 | C2×C4×C61 | C22×D4 | 1 | 3 | yes | — |
| 155 | C2×C4×C61 | C22×D4 | 1 | 12 | yes | — |
| 156 | C2×C4×C61 | C22×D4 | 1 | 2 | yes | — |
| 157 | C2×C4×C61 | C25 | 1 | 1 | yes | characteristic |
| 158 | C22⋊D61 | — | 4 | 12 | no | — |
| 159 | C2×Dic61 | — | 2 | 6 | no | — |
| 160 | C2×Dic61 | — | 4 | 12 | no | — |
| 161 | D244 | — | 2 | 4 | no | — |
| 162 | D244 | — | 4 | 4 | no | — |
| 163 | C4×D61 | — | 4 | 12 | no | — |
| 164 | Dic122 | — | 2 | 12 | no | — |
| 165 | Dic122 | — | 4 | 12 | no | — |
| 166 | #92418 | C22×D4 | 1 | 4 | yes | — |
| 167 | #92418 | C22×D4 | 1 | 12 | yes | — |
| 168 | #60648 | — | 61 | 1 | no | maximal, Sylow |
| 169 | C22×C61 | — | 2 | 6 | no | — |
| 170 | C22×C61 | — | 4 | 2 | no | — |
| 171 | C22×C61 | — | 4 | 4 | no | — |
| 172 | C22×C61 | C2×#127 | 1 | 6 | yes | — |
| 173 | C22×C61 | C23×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×D61 | — | 4 | 2 | no | — |
| 175 | C2×D61 | — | 4 | 4 | no | — |
| 176 | C4×C61 | — | 2 | 6 | no | — |
| 177 | C4×C61 | — | 4 | 6 | no | — |
| 178 | C4×C61 | C2×#127 | 1 | 6 | yes | — |
| 179 | C4×C61 | #578 | 1 | 4 | yes | complemented |
| 180 | C4×C61 | C23×D4 | 1 | 2 | yes | — |
| 181 | Dic61 | — | 4 | 6 | no | — |
| 182 | C2×#578 | — | 61 | 4 | no | — |
| 183 | #3499 | — | 61 | 1 | no | — |
| 184 | #3499 | D61 | 1 | 1 | yes | characteristic, complemented |
| 185 | #3156 | — | 61 | 12 | no | — |
| 186 | #3152 | — | 61 | 3 | no | — |
| 187 | #3152 | — | 61 | 3 | no | — |
| 188 | #3147 | — | 61 | 3 | no | — |
| 189 | C2×#494 | — | 61 | 3 | no | — |
| 190 | C4×#131 | — | 61 | 1 | no | — |
| 191 | C2×C61 | — | 2 | 6 | no | — |
| 192 | C2×C61 | — | 8 | 2 | no | — |
| 193 | C2×C61 | C22×#127 | 1 | 1 | yes | characteristic |
| 194 | C2×C61 | C2×#578 | 1 | 2 | yes | — |
| 195 | D61 | — | 8 | 2 | no | — |
| 196 | C2×2−1+4 | — | 61 | 2 | no | — |
| 197 | C2×2−1+4 | C2×D61 | 1 | 2 | yes | — |
| 198 | #578 | — | 122 | 32 | no | — |
| 199 | C2×#137 | — | 61 | 12 | no | — |
| 200 | C2×#137 | — | 61 | 12 | no | — |
| 201 | C2×#135 | — | 61 | 12 | no | — |
| 202 | C22×Q16 | — | 61 | 12 | no | — |
| 203 | C2×#131 | — | 61 | 2 | no | — |
| 204 | D4×Q8 | — | 2 | 2 | no | — |
| 205 | D4×Q8 | — | 122 | 2 | no | — |
| 206 | #547 | — | 2 | 6 | no | — |
| 207 | #547 | — | 122 | 6 | no | — |
| 208 | #536 | — | 61 | 6 | no | — |
| 209 | #536 | C2×D61 | 1 | 6 | yes | — |
| 210 | #532 | — | 61 | 3 | no | — |
| 211 | #532 | C2×D61 | 1 | 3 | yes | — |
| 212 | C2×C4⋊Q8 | — | 61 | 3 | no | — |
| 213 | C2×C4⋊Q8 | C2×D61 | 1 | 3 | yes | — |
| 214 | C4×#41 | C2×D61 | 1 | 1 | yes | characteristic |
| 215 | #497 | — | 61 | 12 | no | — |
| 216 | #497 | — | 61 | 12 | no | — |
| 217 | #495 | — | 61 | 12 | no | — |
| 218 | #494 | — | 61 | 3 | no | — |
| 219 | #494 | — | 61 | 6 | no | — |
| 220 | #494 | — | 61 | 12 | no | — |
| 221 | #493 | — | 61 | 1 | no | — |
| 222 | #492 | — | 61 | 3 | no | — |
| 223 | #492 | — | 61 | 3 | no | — |
| 224 | #405 | — | 61 | 6 | no | — |
| 225 | C4×M16 | — | 61 | 3 | no | — |
| 226 | C2×C4×C8 | — | 61 | 3 | no | — |
| 227 | C61 | #60648 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 228 | 2−1+4 | — | 2 | 16 | no | — |
| 229 | 2−1+4 | — | 122 | 16 | no | — |
| 230 | C2×#41 | — | 2 | 6 | no | — |
| 231 | C2×#41 | — | 61 | 6 | no | — |
| 232 | C2×#41 | — | 122 | 6 | no | — |
| 233 | C2×#41 | C22×D61 | 1 | 6 | yes | — |
| 234 | C2×#41 | C22×D61 | 1 | 1 | yes | characteristic |
| 235 | C22×Q8 | — | 2 | 2 | no | — |
| 236 | C22×Q8 | — | 61 | 6 | no | — |
| 237 | C22×Q8 | — | 122 | 2 | no | — |
| 238 | C22×Q8 | C22×D61 | 1 | 6 | yes | — |
| 239 | #137 | — | 122 | 48 | no | — |
| 240 | #137 | — | 122 | 48 | no | — |
| 241 | #135 | — | 122 | 48 | no | — |
| 242 | C2×Q16 | — | 61 | 12 | no | — |
| 243 | C2×Q16 | — | 61 | 24 | no | — |
| 244 | C2×Q16 | — | 122 | 48 | no | — |
| 245 | C2×SD16 | — | 61 | 12 | no | — |
| 246 | C2×SD16 | — | 61 | 12 | no | — |
| 247 | C2×D8 | — | 61 | 4 | no | — |
| 248 | #131 | — | 61 | 16 | no | — |
| 249 | C2×M16 | — | 61 | 6 | no | — |
| 250 | C22×C8 | — | 61 | 6 | no | — |
| 251 | C4⋊Q8 | — | 2 | 6 | no | — |
| 252 | C4⋊Q8 | — | 61 | 3 | no | — |
| 253 | C4⋊Q8 | — | 61 | 6 | no | — |
| 254 | C4⋊Q8 | — | 122 | 6 | no | — |
| 255 | C4⋊Q8 | C22×D61 | 1 | 3 | yes | — |
| 256 | C4⋊Q8 | C22×D61 | 1 | 6 | yes | — |
| 257 | #127 | — | 61 | 1 | no | — |
| 258 | #127 | C22×D61 | 1 | 1 | yes | characteristic |
| 259 | #124 | — | 61 | 6 | no | — |
| 260 | #124 | C22×D61 | 1 | 6 | yes | — |
| 261 | #123 | — | 2 | 12 | no | — |
| 262 | #123 | — | 122 | 12 | no | — |
| 263 | C22⋊Q8 | — | 2 | 12 | no | — |
| 264 | C22⋊Q8 | — | 122 | 12 | no | — |
| 265 | #121 | — | 2 | 6 | no | — |
| 266 | #121 | — | 122 | 6 | no | — |
| 267 | C4×Q8 | C22⋊D61 | 1 | 2 | yes | — |
| 268 | C4×D4 | — | 2 | 6 | no | — |
| 269 | C4×D4 | — | 122 | 6 | no | — |
| 270 | C4×D4 | C22⋊D61 | 1 | 6 | yes | — |
| 271 | #117 | C22×D61 | 1 | 3 | yes | — |
| 272 | C2×C4⋊C4 | — | 2 | 6 | no | — |
| 273 | C2×C4⋊C4 | — | 122 | 6 | no | — |
| 274 | C2×C42 | C22×D61 | 1 | 3 | yes | — |
| 275 | #97 | — | 61 | 6 | no | — |
| 276 | C4×C8 | — | 61 | 1 | no | — |
| 277 | C4×C8 | — | 61 | 3 | no | — |
| 278 | C4×C8 | — | 61 | 6 | no | — |
| 279 | #41 | — | 2 | 24 | no | — |
| 280 | #41 | — | 4 | 24 | no | — |
| 281 | #41 | — | 122 | 24 | no | — |
| 282 | #41 | — | 244 | 24 | no | — |
| 283 | #41 | D4×D61 | 1 | 8 | yes | — |
| 284 | C2×Q8 | — | 2 | 6 | no | — |
| 285 | C2×Q8 | — | 2 | 24 | no | — |
| 286 | C2×Q8 | — | 4 | 8 | no | — |
| 287 | C2×Q8 | — | 61 | 6 | no | — |
| 288 | C2×Q8 | — | 122 | 6 | no | — |
| 289 | C2×Q8 | — | 122 | 24 | no | — |
| 290 | C2×Q8 | — | 244 | 8 | no | — |
| 291 | C2×Q8 | C2×C22⋊D61 | 1 | 1 | yes | characteristic |
| 292 | C2×Q8 | C23×D61 | 1 | 6 | yes | — |
| 293 | C2×D4 | — | 2 | 6 | no | — |
| 294 | C2×D4 | — | 2 | 2 | no | — |
| 295 | C2×D4 | — | 61 | 2 | no | — |
| 296 | C2×D4 | — | 122 | 6 | no | — |
| 297 | C2×D4 | — | 122 | 2 | no | — |
| 298 | C2×D4 | C2×C22⋊D61 | 1 | 3 | yes | — |
| 299 | C2×D4 | C23×D61 | 1 | 2 | yes | — |
| 300 | C22×C4 | — | 2 | 6 | no | — |
| 301 | C22×C4 | — | 2 | 6 | no | — |
| 302 | C22×C4 | — | 122 | 6 | no | — |
| 303 | C22×C4 | — | 122 | 6 | no | — |
| 304 | C22×C4 | C2×C22⋊D61 | 1 | 6 | yes | — |
| 305 | C22×C4 | C23×D61 | 1 | 3 | yes | — |
| 306 | Q16 | — | 122 | 24 | no | — |
| 307 | Q16 | — | 122 | 48 | no | — |
| 308 | SD16 | — | 122 | 24 | no | — |
| 309 | SD16 | — | 122 | 24 | no | — |
| 310 | D8 | — | 122 | 8 | no | — |
| 311 | M16 | — | 61 | 24 | no | — |
| 312 | C2×C8 | — | 61 | 24 | no | — |
| 313 | C2×C8 | — | 61 | 2 | no | — |
| 314 | C2×C8 | — | 61 | 6 | no | — |
| 315 | C4⋊C4 | — | 2 | 6 | no | — |
| 316 | C4⋊C4 | — | 2 | 12 | no | — |
| 317 | C4⋊C4 | — | 122 | 6 | no | — |
| 318 | C4⋊C4 | — | 122 | 12 | no | — |
| 319 | C4⋊C4 | C2×C22⋊D61 | 1 | 6 | yes | — |
| 320 | C22⋊C4 | — | 2 | 12 | no | — |
| 321 | C22⋊C4 | — | 122 | 12 | no | — |
| 322 | C22⋊C4 | C2×C22⋊D61 | 1 | 6 | yes | — |
| 323 | C42 | C2×C22⋊D61 | 1 | 6 | yes | — |
| 324 | C42 | C23×D61 | 1 | 1 | yes | characteristic |
| 325 | C42 | C23×D61 | 1 | 3 | yes | — |
| 326 | C23 | — | 2 | 2 | no | — |
| 327 | C23 | — | 122 | 2 | no | — |
| 328 | C23 | C22×C22⋊D61 | 1 | 3 | yes | — |
| 329 | Q8 | — | 2 | 12 | no | — |
| 330 | Q8 | — | 4 | 12 | no | — |
| 331 | Q8 | — | 122 | 12 | no | — |
| 332 | Q8 | — | 244 | 12 | no | — |
| 333 | Q8 | #14519773 | 1 | 4 | yes | — |
| 334 | D4 | — | 2 | 4 | no | — |
| 335 | D4 | — | 4 | 12 | no | — |
| 336 | D4 | — | 4 | 4 | no | — |
| 337 | D4 | — | 122 | 4 | no | — |
| 338 | D4 | — | 244 | 12 | no | — |
| 339 | D4 | — | 244 | 4 | no | — |
| 340 | D4 | #14519773 | 1 | 12 | yes | — |
| 341 | C2×C4 | — | 2 | 12 | no | — |
| 342 | C2×C4 | — | 2 | 6 | no | — |
| 343 | C2×C4 | — | 4 | 12 | no | — |
| 344 | C2×C4 | — | 4 | 12 | no | — |
| 345 | C2×C4 | — | 122 | 6 | no | — |
| 346 | C2×C4 | — | 244 | 12 | no | — |
| 347 | C2×C4 | — | 244 | 12 | no | — |
| 348 | C2×C4 | C2×D4×D61 | 1 | 12 | yes | — |
| 349 | C2×C4 | C22×C22⋊D61 | 1 | 6 | yes | — |
| 350 | C2×C4 | C22×C22⋊D61 | 1 | 3 | yes | — |
| 351 | C2×C4 | C22×C22⋊D61 | 1 | 2 | yes | — |
| 352 | C2×C4 | C24×D61 | 1 | 1 | yes | characteristic |
| 353 | C8 | — | 61 | 4 | no | — |
| 354 | C8 | — | 61 | 12 | no | — |
| 355 | C22 | — | 2 | 6 | no | — |
| 356 | C22 | — | 4 | 4 | no | — |
| 357 | C22 | — | 4 | 2 | no | — |
| 358 | C22 | — | 244 | 4 | no | — |
| 359 | C22 | — | 244 | 2 | no | — |
| 360 | C22 | C2×#14519773 | 1 | 6 | yes | — |
| 361 | C22 | C23×C22⋊D61 | 1 | 1 | yes | characteristic |
| 362 | C4 | — | 2 | 6 | no | — |
| 363 | C4 | — | 4 | 6 | no | — |
| 364 | C4 | — | 244 | 6 | no | — |
| 365 | C4 | C2×#14519773 | 1 | 6 | yes | — |
| 366 | C4 | #16840577 | 1 | 4 | yes | complemented |
| 367 | C4 | C22×D4×D61 | 1 | 2 | yes | — |
| 368 | C2 | — | 2 | 6 | no | — |
| 369 | C2 | — | 8 | 2 | no | — |
| 370 | C2 | — | 488 | 2 | no | — |
| 371 | C2 | C22×#14519773 | 1 | 1 | yes | characteristic |
| 372 | C2 | C2×#16840577 | 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