← #29698512
Subgroups — #29698512
Order 15616.
862 conjugacy classes of subgroups.
The subgroup lattice has 340 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #21454695 | C2 | 1 | 2 | yes | maximal |
| 2 | #21454419 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #21446605 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #21446047 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #21445979 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #21445883 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #21445698 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×C61×#443 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #16840245 | C22 | 1 | 4 | yes | — |
| 10 | #16839863 | — | 2 | 4 | no | — |
| 11 | Q16×Dic61 | — | 2 | 2 | no | — |
| 12 | D8×Dic61 | — | 2 | 2 | no | — |
| 13 | C2×#14519713 | C22 | 1 | 1 | yes | characteristic |
| 14 | #16839804 | — | 2 | 4 | no | — |
| 15 | #16839804 | C22 | 1 | 4 | yes | — |
| 16 | #16839800 | — | 2 | 2 | no | — |
| 17 | #16839800 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#14519711 | — | 2 | 2 | no | — |
| 19 | C2×#14519711 | C22 | 1 | 2 | yes | — |
| 20 | C2×#14519711 | C22 | 1 | 2 | yes | — |
| 21 | #16839763 | C22 | 1 | 4 | yes | — |
| 22 | #16839717 | C22 | 1 | 2 | yes | — |
| 23 | #16839632 | C22 | 1 | 2 | yes | — |
| 24 | #16839530 | C22 | 1 | 4 | yes | — |
| 25 | #16839522 | C22 | 1 | 2 | yes | — |
| 26 | C2×#135×C61 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#131×C61 | C22 | 1 | 2 | yes | — |
| 28 | C61×#443 | C4 | 1 | 8 | yes | complemented |
| 29 | C2×#108×C61 | C22 | 1 | 1 | yes | characteristic |
| 30 | C2×#104×C61 | C22 | 1 | 2 | yes | — |
| 31 | C2×C4×C8×C61 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#11758194 | C23 | 1 | 2 | yes | — |
| 33 | Q8×Dic61 | — | 2 | 4 | no | — |
| 34 | D4×Dic61 | — | 2 | 4 | no | — |
| 35 | D4×Dic61 | — | 4 | 4 | no | — |
| 36 | #14519736 | — | 2 | 4 | no | — |
| 37 | #14519736 | C23 | 1 | 2 | yes | — |
| 38 | C2×C4⋊Dic61 | — | 2 | 4 | no | — |
| 39 | C2×C4⋊Dic61 | — | 4 | 2 | no | — |
| 40 | C2×C4⋊Dic61 | C23 | 1 | 4 | yes | — |
| 41 | #14519713 | — | 2 | 2 | no | — |
| 42 | #14519711 | — | 2 | 2 | no | — |
| 43 | #14519711 | — | 2 | 2 | no | — |
| 44 | #14519711 | — | 2 | 2 | no | — |
| 45 | #14519711 | — | 2 | 2 | no | — |
| 46 | #14519711 | — | 2 | 4 | no | — |
| 47 | #14519711 | D4 | 1 | 1 | yes | characteristic |
| 48 | #14519711 | D4 | 1 | 1 | yes | characteristic |
| 49 | #14519709 | — | 2 | 4 | no | — |
| 50 | #14519709 | D4 | 1 | 2 | yes | — |
| 51 | #14519701 | — | 2 | 4 | no | — |
| 52 | #14519698 | — | 2 | 4 | no | — |
| 53 | #14519687 | — | 2 | 2 | no | — |
| 54 | C8×Dic61 | — | 2 | 2 | no | — |
| 55 | C2×#41×C61 | C23 | 1 | 2 | yes | — |
| 56 | #135×C61 | C2×C4 | 1 | 4 | yes | — |
| 57 | #135×C61 | Q8 | 1 | 4 | yes | — |
| 58 | C2×Q16×C61 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×SD16×C61 | D4 | 1 | 2 | yes | — |
| 60 | C2×D8×C61 | D4 | 1 | 1 | yes | characteristic |
| 61 | #131×C61 | — | 2 | 4 | no | — |
| 62 | #131×C61 | C2×C4 | 1 | 8 | yes | complemented |
| 63 | C2×M16×C61 | — | 2 | 2 | no | — |
| 64 | C2×M16×C61 | C23 | 1 | 2 | yes | — |
| 65 | C22×C8×C61 | — | 2 | 2 | no | — |
| 66 | C22×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 67 | C22×C8×C61 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×C42×C61 | C23 | 1 | 1 | yes | characteristic |
| 69 | #108×C61 | C2×C4 | 1 | 4 | yes | complemented |
| 70 | #104×C61 | C2×C4 | 1 | 8 | yes | complemented |
| 71 | C4×C8×C61 | C2×C4 | 1 | 4 | yes | complemented |
| 72 | #41×C61 | — | 2 | 2 | no | — |
| 73 | #41×C61 | — | 2 | 2 | no | — |
| 74 | #41×C61 | C22×C4 | 1 | 4 | yes | — |
| 75 | #41×C61 | C2×Q8 | 1 | 4 | yes | — |
| 76 | C2×Q8×C61 | C2×D4 | 1 | 2 | yes | — |
| 77 | C2×D4×C61 | — | 2 | 2 | no | — |
| 78 | C2×D4×C61 | C2×D4 | 1 | 2 | yes | — |
| 79 | C22×C4×C61 | — | 2 | 1 | no | — |
| 80 | C22×C4×C61 | — | 2 | 2 | no | — |
| 81 | C22×C4×C61 | C24 | 1 | 1 | yes | characteristic |
| 82 | C22×Dic61 | — | 2 | 4 | no | — |
| 83 | C22×Dic61 | — | 4 | 4 | no | — |
| 84 | Q16×C61 | C4⋊C4 | 1 | 4 | yes | complemented |
| 85 | SD16×C61 | C4⋊C4 | 1 | 8 | yes | complemented |
| 86 | D8×C61 | C4⋊C4 | 1 | 4 | yes | complemented |
| 87 | M16×C61 | — | 2 | 2 | no | — |
| 88 | M16×C61 | — | 2 | 8 | no | — |
| 89 | M16×C61 | C22×C4 | 1 | 4 | yes | — |
| 90 | C2×C8×C61 | — | 2 | 2 | no | — |
| 91 | C2×C8×C61 | — | 2 | 8 | no | — |
| 92 | C2×C8×C61 | C22×C4 | 1 | 2 | yes | — |
| 93 | C2×C8×C61 | C22×C4 | 1 | 2 | yes | — |
| 94 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 96 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 97 | C2×C8×C61 | C2×D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C8×C61 | C2×Q8 | 1 | 2 | yes | — |
| 99 | C2×C8×C61 | #41 | 1 | 2 | yes | — |
| 100 | C42×C61 | — | 2 | 1 | no | — |
| 101 | C42×C61 | C22×C4 | 1 | 2 | yes | — |
| 102 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 103 | C22⋊Dic61 | — | 4 | 4 | no | — |
| 104 | C4⋊Dic61 | — | 2 | 4 | no | — |
| 105 | C4⋊Dic61 | — | 2 | 4 | no | — |
| 106 | C4⋊Dic61 | — | 4 | 4 | no | — |
| 107 | C4⋊Dic61 | — | 8 | 4 | no | — |
| 108 | C4⋊Dic61 | C2×D4 | 1 | 2 | yes | — |
| 109 | C4⋊Dic61 | C2×D4 | 1 | 2 | yes | — |
| 110 | C4×Dic61 | — | 2 | 2 | no | — |
| 111 | C4×Dic61 | — | 4 | 4 | no | — |
| 112 | #11758194 | — | 2 | 2 | no | — |
| 113 | #11758194 | — | 2 | 2 | no | — |
| 114 | C2×#92418 | — | 2 | 2 | no | — |
| 115 | C23×C61 | — | 2 | 2 | no | — |
| 116 | C23×C61 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 117 | Q8×C61 | — | 2 | 2 | no | — |
| 118 | Q8×C61 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 119 | D4×C61 | — | 2 | 4 | no | — |
| 120 | D4×C61 | — | 2 | 4 | no | — |
| 121 | D4×C61 | — | 2 | 2 | no | — |
| 122 | D4×C61 | C2×C4⋊C4 | 1 | 4 | yes | — |
| 123 | C2×C4×C61 | — | 2 | 2 | no | — |
| 124 | C2×C4×C61 | — | 2 | 2 | no | — |
| 125 | C2×C4×C61 | — | 2 | 2 | no | — |
| 126 | C2×C4×C61 | — | 2 | 2 | no | — |
| 127 | C2×C4×C61 | — | 2 | 4 | no | — |
| 128 | C2×C4×C61 | — | 2 | 4 | no | — |
| 129 | C2×C4×C61 | C23×C4 | 1 | 1 | yes | characteristic |
| 130 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 131 | C2×C4×C61 | C22×D4 | 1 | 1 | yes | characteristic |
| 132 | C2×C4×C61 | C22×Q8 | 1 | 1 | yes | characteristic |
| 133 | C2×C4×C61 | C2×#41 | 1 | 1 | yes | characteristic |
| 134 | C2×C4×C61 | 2−1+4 | 1 | 1 | yes | characteristic |
| 135 | C2×Dic61 | — | 2 | 2 | no | — |
| 136 | C2×Dic61 | — | 2 | 2 | no | — |
| 137 | C2×Dic61 | — | 4 | 4 | no | — |
| 138 | C2×Dic61 | — | 8 | 4 | no | — |
| 139 | C2×Dic61 | — | 16 | 4 | no | — |
| 140 | C8×C61 | — | 2 | 4 | no | — |
| 141 | C8×C61 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 142 | C8×C61 | C2×C4⋊C4 | 1 | 2 | yes | — |
| 143 | C8×C61 | C4×D4 | 1 | 2 | yes | — |
| 144 | C8×C61 | C4×D4 | 1 | 2 | yes | — |
| 145 | #92418 | — | 4 | 2 | no | — |
| 146 | #22692 | — | 61 | 1 | no | maximal, Sylow |
| 147 | C22×C61 | — | 2 | 1 | no | — |
| 148 | C22×C61 | — | 2 | 1 | no | — |
| 149 | C22×C61 | — | 2 | 4 | no | — |
| 150 | C22×C61 | — | 4 | 2 | no | — |
| 151 | C22×C61 | — | 4 | 2 | no | — |
| 152 | C22×C61 | #520 | 1 | 1 | yes | characteristic |
| 153 | C22×C61 | D42 | 1 | 1 | yes | characteristic |
| 154 | C22×C61 | #554 | 1 | 1 | yes | characteristic |
| 155 | C4×C61 | — | 2 | 4 | no | — |
| 156 | C4×C61 | — | 2 | 4 | no | — |
| 157 | C4×C61 | C22×C4⋊C4 | 1 | 1 | yes | characteristic |
| 158 | C4×C61 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 159 | C4×C61 | #547 | 1 | 1 | yes | characteristic |
| 160 | C4×C61 | D4×Q8 | 1 | 1 | yes | characteristic |
| 161 | Dic61 | — | 4 | 2 | no | — |
| 162 | Dic61 | — | 4 | 2 | no | — |
| 163 | Dic61 | — | 8 | 4 | no | — |
| 164 | C2×#443 | D61 | 1 | 1 | yes | characteristic |
| 165 | #2951 | — | 61 | 2 | no | — |
| 166 | #2913 | — | 61 | 2 | no | — |
| 167 | #1952 | — | 61 | 2 | no | — |
| 168 | #1859 | — | 61 | 4 | no | — |
| 169 | #1845 | — | 61 | 1 | no | — |
| 170 | #1816 | — | 61 | 2 | no | — |
| 171 | #1772 | — | 61 | 1 | no | — |
| 172 | C2×C61 | — | 2 | 1 | no | — |
| 173 | C2×C61 | — | 2 | 1 | no | — |
| 174 | C2×C61 | — | 4 | 4 | no | — |
| 175 | C2×C61 | D4×C4⋊C4 | 1 | 1 | yes | characteristic |
| 176 | C2×C61 | #3292 | 1 | 1 | yes | characteristic |
| 177 | C2×C61 | #3293 | 1 | 1 | yes | characteristic |
| 178 | C2×#135 | C2×D61 | 1 | 1 | yes | characteristic |
| 179 | C2×#131 | C2×D61 | 1 | 2 | yes | — |
| 180 | #520 | — | 61 | 4 | no | — |
| 181 | #443 | Dic61 | 1 | 8 | yes | complemented |
| 182 | #440 | — | 122 | 4 | no | — |
| 183 | C4×Q16 | — | 122 | 2 | no | — |
| 184 | C4×D8 | — | 122 | 2 | no | — |
| 185 | C2×#108 | — | 61 | 1 | no | — |
| 186 | C2×#108 | C2×D61 | 1 | 1 | yes | characteristic |
| 187 | #428 | — | 61 | 4 | no | — |
| 188 | #428 | — | 122 | 4 | no | — |
| 189 | #427 | — | 61 | 1 | no | — |
| 190 | #427 | — | 122 | 2 | no | — |
| 191 | C2×#107 | — | 61 | 2 | no | — |
| 192 | C2×#107 | — | 61 | 2 | no | — |
| 193 | C2×#107 | — | 122 | 2 | no | — |
| 194 | C2×#104 | C2×D61 | 1 | 2 | yes | — |
| 195 | #417 | — | 61 | 4 | no | — |
| 196 | #405 | — | 61 | 2 | no | — |
| 197 | C2×C4×C8 | C2×D61 | 1 | 1 | yes | characteristic |
| 198 | #384 | — | 61 | 2 | no | — |
| 199 | #343 | — | 61 | 4 | no | — |
| 200 | #339 | — | 61 | 2 | no | — |
| 201 | C61 | #22692 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 202 | C2×#41 | C22×D61 | 1 | 2 | yes | — |
| 203 | #135 | Dic122 | 1 | 4 | yes | — |
| 204 | #135 | C2×Dic61 | 1 | 4 | yes | — |
| 205 | C2×Q16 | D244 | 1 | 1 | yes | characteristic |
| 206 | C2×SD16 | D244 | 1 | 2 | yes | — |
| 207 | C2×D8 | D244 | 1 | 1 | yes | characteristic |
| 208 | #131 | — | 2 | 4 | no | — |
| 209 | #131 | C2×Dic61 | 1 | 8 | yes | complemented |
| 210 | C2×M16 | — | 2 | 2 | no | — |
| 211 | C2×M16 | — | 61 | 2 | no | — |
| 212 | C2×M16 | C22×D61 | 1 | 2 | yes | — |
| 213 | C22×C8 | — | 2 | 2 | no | — |
| 214 | C22×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 215 | C22×C8 | C22×D61 | 1 | 1 | yes | characteristic |
| 216 | C4×Q8 | — | 122 | 4 | no | — |
| 217 | C4×D4 | — | 122 | 4 | no | — |
| 218 | C4×D4 | — | 244 | 4 | no | — |
| 219 | #117 | — | 61 | 2 | no | — |
| 220 | #117 | — | 122 | 4 | no | — |
| 221 | C2×C4⋊C4 | — | 61 | 4 | no | — |
| 222 | C2×C4⋊C4 | — | 122 | 4 | no | — |
| 223 | C2×C4⋊C4 | — | 244 | 2 | no | — |
| 224 | C2×C42 | C22×D61 | 1 | 1 | yes | characteristic |
| 225 | #108 | — | 122 | 2 | no | — |
| 226 | #108 | C2×Dic61 | 1 | 4 | yes | complemented |
| 227 | #107 | — | 61 | 1 | no | — |
| 228 | #107 | — | 61 | 1 | no | — |
| 229 | #107 | — | 122 | 4 | no | — |
| 230 | #107 | — | 122 | 2 | no | — |
| 231 | #107 | — | 122 | 2 | no | — |
| 232 | #107 | — | 122 | 2 | no | — |
| 233 | #107 | — | 122 | 2 | no | — |
| 234 | #106 | — | 61 | 2 | no | — |
| 235 | #106 | — | 122 | 4 | no | — |
| 236 | #104 | C2×Dic61 | 1 | 8 | yes | complemented |
| 237 | #103 | — | 122 | 4 | no | — |
| 238 | #102 | — | 122 | 4 | no | — |
| 239 | #97 | — | 122 | 2 | no | — |
| 240 | C4×C8 | — | 122 | 2 | no | — |
| 241 | C4×C8 | C2×Dic61 | 1 | 4 | yes | complemented |
| 242 | #41 | — | 2 | 2 | no | — |
| 243 | #41 | — | 2 | 2 | no | — |
| 244 | #41 | C2×Dic122 | 1 | 4 | yes | — |
| 245 | #41 | C22×Dic61 | 1 | 4 | yes | — |
| 246 | C2×Q8 | C2×D244 | 1 | 2 | yes | — |
| 247 | C2×D4 | — | 2 | 2 | no | — |
| 248 | C2×D4 | C2×D244 | 1 | 2 | yes | — |
| 249 | C22×C4 | — | 2 | 1 | no | — |
| 250 | C22×C4 | — | 2 | 2 | no | — |
| 251 | C22×C4 | — | 122 | 4 | no | — |
| 252 | C22×C4 | — | 244 | 4 | no | — |
| 253 | C22×C4 | C23×D61 | 1 | 1 | yes | characteristic |
| 254 | Q16 | C4⋊Dic61 | 1 | 4 | yes | complemented |
| 255 | SD16 | C4⋊Dic61 | 1 | 8 | yes | complemented |
| 256 | D8 | C4⋊Dic61 | 1 | 4 | yes | complemented |
| 257 | M16 | — | 2 | 2 | no | — |
| 258 | M16 | — | 2 | 8 | no | — |
| 259 | M16 | — | 122 | 2 | no | — |
| 260 | M16 | — | 122 | 2 | no | — |
| 261 | M16 | C22×Dic61 | 1 | 4 | yes | — |
| 262 | C2×C8 | — | 2 | 2 | no | — |
| 263 | C2×C8 | — | 2 | 8 | no | — |
| 264 | C2×C8 | — | 122 | 2 | no | — |
| 265 | C2×C8 | C2×Dic122 | 1 | 2 | yes | — |
| 266 | C2×C8 | C2×D244 | 1 | 1 | yes | characteristic |
| 267 | C2×C8 | C2×D244 | 1 | 1 | yes | characteristic |
| 268 | C2×C8 | D4×D61 | 1 | 1 | yes | characteristic |
| 269 | C2×C8 | D4×D61 | 1 | 1 | yes | characteristic |
| 270 | C2×C8 | #11758224 | 1 | 2 | yes | — |
| 271 | C2×C8 | C22×Dic61 | 1 | 2 | yes | — |
| 272 | C2×C8 | C22×Dic61 | 1 | 2 | yes | — |
| 273 | C4⋊C4 | — | 61 | 2 | no | — |
| 274 | C4⋊C4 | — | 61 | 2 | no | — |
| 275 | C4⋊C4 | — | 122 | 4 | no | — |
| 276 | C4⋊C4 | — | 122 | 4 | no | — |
| 277 | C4⋊C4 | — | 488 | 4 | no | — |
| 278 | C4⋊C4 | — | 244 | 4 | no | — |
| 279 | C22⋊C4 | — | 122 | 2 | no | — |
| 280 | C22⋊C4 | — | 244 | 4 | no | — |
| 281 | C42 | — | 2 | 1 | no | — |
| 282 | C42 | — | 122 | 2 | no | — |
| 283 | C42 | — | 244 | 4 | no | — |
| 284 | C42 | C22×Dic61 | 1 | 2 | yes | — |
| 285 | C23 | — | 2 | 2 | no | — |
| 286 | C23 | #14519823 | 1 | 1 | yes | characteristic |
| 287 | Q8 | — | 2 | 2 | no | — |
| 288 | Q8 | C2×C4⋊Dic61 | 1 | 4 | yes | — |
| 289 | D4 | — | 2 | 4 | no | — |
| 290 | D4 | — | 2 | 4 | no | — |
| 291 | D4 | — | 2 | 2 | no | — |
| 292 | D4 | C2×C4⋊Dic61 | 1 | 4 | yes | — |
| 293 | C2×C4 | — | 2 | 2 | no | — |
| 294 | C2×C4 | — | 2 | 2 | no | — |
| 295 | C2×C4 | — | 2 | 2 | no | — |
| 296 | C2×C4 | — | 2 | 2 | no | — |
| 297 | C2×C4 | — | 2 | 4 | no | — |
| 298 | C2×C4 | — | 2 | 4 | no | — |
| 299 | C2×C4 | — | 122 | 2 | no | — |
| 300 | C2×C4 | — | 122 | 2 | no | — |
| 301 | C2×C4 | — | 976 | 4 | no | — |
| 302 | C2×C4 | — | 488 | 4 | no | — |
| 303 | C2×C4 | — | 244 | 4 | no | — |
| 304 | C2×C4 | C23×Dic61 | 1 | 1 | yes | characteristic |
| 305 | C2×C4 | C2×D4×D61 | 1 | 1 | yes | characteristic |
| 306 | C2×C4 | C22×D244 | 1 | 1 | yes | characteristic |
| 307 | C2×C4 | C22×Dic122 | 1 | 1 | yes | characteristic |
| 308 | C2×C4 | C2×#11758224 | 1 | 1 | yes | characteristic |
| 309 | C2×C4 | #14519824 | 1 | 1 | yes | characteristic |
| 310 | C8 | — | 2 | 4 | no | — |
| 311 | C8 | — | 244 | 2 | no | — |
| 312 | C8 | C2×C4⋊Dic61 | 1 | 2 | yes | — |
| 313 | C8 | C2×C4⋊Dic61 | 1 | 2 | yes | — |
| 314 | C8 | D4×Dic61 | 1 | 2 | yes | — |
| 315 | C8 | D4×Dic61 | 1 | 2 | yes | — |
| 316 | C22 | — | 2 | 1 | no | — |
| 317 | C22 | — | 2 | 1 | no | — |
| 318 | C22 | — | 2 | 4 | no | — |
| 319 | C22 | — | 4 | 2 | no | — |
| 320 | C22 | — | 4 | 2 | no | — |
| 321 | C22 | #16840245 | 1 | 1 | yes | characteristic |
| 322 | C22 | D4×D244 | 1 | 1 | yes | characteristic |
| 323 | C22 | #16840469 | 1 | 1 | yes | characteristic |
| 324 | C4 | — | 2 | 4 | no | — |
| 325 | C4 | — | 2 | 4 | no | — |
| 326 | C4 | — | 488 | 4 | no | — |
| 327 | C4 | — | 244 | 2 | no | — |
| 328 | C4 | — | 244 | 2 | no | — |
| 329 | C4 | C22×C4⋊Dic61 | 1 | 1 | yes | characteristic |
| 330 | C4 | C2×D4×Dic61 | 1 | 1 | yes | characteristic |
| 331 | C4 | #16840416 | 1 | 1 | yes | characteristic |
| 332 | C4 | D4×Dic122 | 1 | 1 | yes | characteristic |
| 333 | C2 | — | 2 | 1 | no | — |
| 334 | C2 | — | 2 | 1 | no | — |
| 335 | C2 | — | 4 | 4 | no | — |
| 336 | C2 | D4×C4⋊Dic61 | 1 | 1 | yes | characteristic |
| 337 | C2 | #21457619 | 1 | 1 | yes | characteristic |
| 338 | C2 | #21457624 | 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