← #30613093
Subgroups — #30613093
Order 15616.
624 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #21462709 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #21461440 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #21461439 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #21461421 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #21461418 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #21461381 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #21461178 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #21461032 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #21456393 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #16840797 | C22 | 1 | 2 | yes | — |
| 11 | #16840796 | C22 | 1 | 2 | yes | — |
| 12 | #16840794 | — | 2 | 2 | no | — |
| 13 | #16840791 | — | 2 | 2 | no | — |
| 14 | #16840790 | C22 | 1 | 2 | yes | — |
| 15 | D4×#92420 | C22 | 1 | 2 | yes | — |
| 16 | #16840783 | C22 | 1 | 2 | yes | — |
| 17 | #16840778 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16840778 | C22 | 1 | 1 | yes | characteristic |
| 19 | #16840736 | — | 2 | 2 | no | — |
| 20 | #16840735 | — | 2 | 2 | no | — |
| 21 | #16840625 | C22 | 1 | 1 | yes | characteristic |
| 22 | #16840625 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16840624 | C22 | 1 | 2 | yes | — |
| 24 | #16840610 | C22 | 1 | 2 | yes | — |
| 25 | #16840610 | C22 | 1 | 2 | yes | — |
| 26 | D4⋊#92420 | C22 | 1 | 2 | yes | — |
| 27 | D4⋊#92420 | C22 | 1 | 2 | yes | — |
| 28 | #92420⋊C8 | C22 | 1 | 2 | yes | — |
| 29 | #92420⋊C8 | C22 | 1 | 2 | yes | — |
| 30 | #16840307 | C22 | 1 | 2 | yes | — |
| 31 | #16840166 | C4 | 1 | 1 | yes | characteristic |
| 32 | #16840137 | C4 | 1 | 1 | yes | characteristic |
| 33 | #16840107 | C4 | 1 | 2 | yes | — |
| 34 | #16839998 | C4 | 1 | 1 | yes | characteristic |
| 35 | #16839996 | C4 | 1 | 2 | yes | — |
| 36 | D8×Dic61 | C22 | 1 | 1 | yes | characteristic |
| 37 | #16839844 | C22 | 1 | 1 | yes | characteristic |
| 38 | #16839842 | C22 | 1 | 2 | yes | — |
| 39 | C2×C8×Dic61 | C22 | 1 | 1 | yes | characteristic |
| 40 | C61×#466 | C4 | 1 | 1 | yes | characteristic |
| 41 | C2×#11758213 | — | 2 | 2 | no | — |
| 42 | C2×#11758217 | — | 2 | 2 | no | — |
| 43 | C2×D61⋊C8 | — | 2 | 2 | no | — |
| 44 | C22×#92420 | — | 2 | 2 | no | — |
| 45 | C4⋊#92420 | — | 2 | 1 | no | — |
| 46 | C4⋊#92420 | D4 | 1 | 1 | yes | characteristic |
| 47 | C4⋊#92420 | D4 | 1 | 1 | yes | characteristic |
| 48 | C4⋊#92420 | C23 | 1 | 2 | yes | — |
| 49 | C4⋊#92420 | C23 | 1 | 2 | yes | — |
| 50 | #14519834 | — | 2 | 2 | no | — |
| 51 | #14519834 | — | 2 | 2 | no | — |
| 52 | C22⋊#92420 | — | 2 | 2 | no | — |
| 53 | C22⋊#92420 | — | 2 | 1 | no | — |
| 54 | C22⋊#92420 | — | 2 | 2 | no | — |
| 55 | C22⋊#92420 | — | 2 | 2 | no | — |
| 56 | C22⋊#92420 | D4 | 1 | 2 | yes | — |
| 57 | #14519832 | — | 2 | 2 | no | — |
| 58 | C4×#92420 | C23 | 1 | 2 | yes | — |
| 59 | C4×#92420 | C23 | 1 | 2 | yes | — |
| 60 | C2×#11758224 | — | 2 | 2 | no | — |
| 61 | C2×D488 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | C2×#11758199 | C2×C4 | 1 | 2 | yes | — |
| 63 | C22×#92418 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | #14519776 | C2×C4 | 1 | 2 | yes | — |
| 65 | #14519773 | C2×C4 | 1 | 2 | yes | — |
| 66 | #14519763 | — | 2 | 2 | no | — |
| 67 | #14519751 | C2×C4 | 1 | 2 | yes | — |
| 68 | #14519749 | — | 2 | 2 | no | — |
| 69 | D4×Dic61 | C23 | 1 | 2 | yes | — |
| 70 | #14519739 | C23 | 1 | 2 | yes | — |
| 71 | #14519737 | — | 2 | 2 | no | — |
| 72 | C2×C4×Dic61 | C23 | 1 | 1 | yes | characteristic |
| 73 | #14519711 | C2×C4 | 1 | 1 | yes | characteristic |
| 74 | #14519710 | C2×C4 | 1 | 2 | yes | — |
| 75 | #14519699 | C2×C4 | 1 | 2 | yes | — |
| 76 | #14519698 | C2×C4 | 1 | 2 | yes | — |
| 77 | #14519697 | C2×C4 | 1 | 2 | yes | — |
| 78 | C8×Dic61 | C2×C4 | 1 | 1 | yes | characteristic |
| 79 | C8×Dic61 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C8×Dic61 | C23 | 1 | 1 | yes | characteristic |
| 81 | C8×Dic61 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×D8×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 83 | C22×C8×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 84 | #121×C61 | C2×C4 | 1 | 2 | yes | — |
| 85 | #107×C61 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | #102×C61 | C2×C4 | 1 | 2 | yes | — |
| 87 | C2×D4×C61 | — | 2 | 2 | no | — |
| 88 | C2×D4×C61 | C22×C4 | 1 | 2 | yes | — |
| 89 | C22×C4×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 90 | C2×C22⋊D61 | — | 2 | 2 | no | — |
| 91 | C2×C22⋊D61 | — | 2 | 2 | no | — |
| 92 | C2×C22⋊D61 | — | 2 | 2 | no | — |
| 93 | C22×Dic61 | — | 2 | 2 | no | — |
| 94 | C22×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 95 | C22×Dic61 | #41 | 1 | 1 | yes | characteristic |
| 96 | #11758224 | — | 8 | 2 | no | — |
| 97 | #11758224 | — | 8 | 2 | no | — |
| 98 | C2×D244 | C22×C4 | 1 | 2 | yes | — |
| 99 | C2×C4×D61 | — | 2 | 2 | no | — |
| 100 | C2×Dic122 | — | 2 | 2 | no | — |
| 101 | #11758217 | — | 8 | 2 | no | — |
| 102 | C2×#92420 | — | 2 | 2 | no | — |
| 103 | C2×#92420 | — | 2 | 2 | no | — |
| 104 | C2×#92420 | — | 2 | 2 | no | — |
| 105 | C2×#92420 | — | 8 | 2 | no | — |
| 106 | C2×#92420 | C2×D4 | 1 | 2 | yes | — |
| 107 | C2×#92420 | C2×D4 | 1 | 2 | yes | — |
| 108 | #11758213 | — | 8 | 2 | no | — |
| 109 | D61⋊C8 | — | 8 | 2 | no | — |
| 110 | D8×C61 | — | 4 | 1 | no | — |
| 111 | C2×C8×C61 | — | 4 | 1 | no | — |
| 112 | C2×C8×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 113 | C2×C8×C61 | C22×C4 | 1 | 1 | yes | characteristic |
| 114 | C4⋊C4×C61 | C22×C4 | 1 | 2 | yes | — |
| 115 | C22⋊C4×C61 | — | 2 | 2 | no | — |
| 116 | C22⋊Dic61 | — | 2 | 2 | no | — |
| 117 | #11758199 | — | 4 | 2 | no | — |
| 118 | #11758198 | — | 2 | 2 | no | — |
| 119 | #11758198 | — | 2 | 2 | no | — |
| 120 | C4⋊Dic61 | C22×C4 | 1 | 2 | yes | — |
| 121 | #11758196 | — | 2 | 2 | no | — |
| 122 | C4×Dic61 | C22×C4 | 1 | 1 | yes | characteristic |
| 123 | C4×Dic61 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C4×Dic61 | #41 | 1 | 1 | yes | characteristic |
| 125 | C4×Dic61 | C24 | 1 | 1 | yes | characteristic |
| 126 | C2×#92418 | — | 4 | 1 | no | — |
| 127 | C2×#92418 | C22×C4 | 1 | 1 | yes | characteristic |
| 128 | C2×#92418 | C22×C4 | 1 | 1 | yes | characteristic |
| 129 | D488 | — | 4 | 1 | no | — |
| 130 | C23×C61 | — | 2 | 2 | no | — |
| 131 | C23×C61 | C4×D4 | 1 | 1 | yes | characteristic |
| 132 | C22×D61 | — | 2 | 2 | no | — |
| 133 | D4×C61 | — | 2 | 2 | no | — |
| 134 | D4×C61 | — | 2 | 2 | no | — |
| 135 | D4×C61 | — | 8 | 2 | no | — |
| 136 | C2×C4×C61 | — | 2 | 1 | no | — |
| 137 | C2×C4×C61 | — | 2 | 1 | no | — |
| 138 | C2×C4×C61 | — | 2 | 2 | no | — |
| 139 | C2×C4×C61 | C4×D4 | 1 | 1 | yes | characteristic |
| 140 | C2×C4×C61 | C23×C4 | 1 | 1 | yes | characteristic |
| 141 | C22⋊D61 | — | 8 | 2 | no | — |
| 142 | C22⋊D61 | — | 8 | 2 | no | — |
| 143 | C22⋊D61 | — | 8 | 2 | no | — |
| 144 | C2×Dic61 | — | 2 | 1 | no | — |
| 145 | C2×Dic61 | — | 2 | 1 | no | — |
| 146 | C2×Dic61 | — | 2 | 2 | no | — |
| 147 | C2×Dic61 | — | 4 | 1 | no | — |
| 148 | C2×Dic61 | — | 4 | 2 | no | — |
| 149 | C2×Dic61 | — | 4 | 2 | no | — |
| 150 | C2×Dic61 | C4×D4 | 1 | 1 | yes | characteristic |
| 151 | C2×Dic61 | C4×D4 | 1 | 1 | yes | characteristic |
| 152 | C2×Dic61 | C22×D4 | 1 | 1 | yes | characteristic |
| 153 | C2×Dic61 | C2×#41 | 1 | 1 | yes | characteristic |
| 154 | D244 | — | 2 | 2 | no | — |
| 155 | D244 | — | 2 | 2 | no | — |
| 156 | C4×D61 | — | 4 | 2 | no | — |
| 157 | C4×D61 | — | 4 | 2 | no | — |
| 158 | Dic122 | — | 8 | 2 | no | — |
| 159 | #92420 | — | 2 | 2 | no | — |
| 160 | #92420 | — | 2 | 2 | no | — |
| 161 | #92420 | — | 4 | 2 | no | — |
| 162 | #92420 | — | 4 | 2 | no | — |
| 163 | #92420 | — | 4 | 2 | no | — |
| 164 | C8×C61 | — | 2 | 1 | no | — |
| 165 | C8×C61 | — | 2 | 1 | no | — |
| 166 | #92418 | — | 2 | 1 | no | — |
| 167 | #92418 | — | 2 | 1 | no | — |
| 168 | #17989 | — | 61 | 1 | no | maximal, Sylow |
| 169 | C22×C61 | — | 2 | 1 | no | — |
| 170 | C22×C61 | — | 2 | 1 | no | — |
| 171 | C22×C61 | — | 2 | 1 | no | — |
| 172 | C22×C61 | — | 4 | 2 | no | — |
| 173 | C22×C61 | — | 4 | 2 | no | — |
| 174 | C22×C61 | — | 4 | 2 | no | — |
| 175 | C22×C61 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 176 | C2×D61 | — | 4 | 2 | no | — |
| 177 | C2×D61 | — | 4 | 2 | no | — |
| 178 | C2×D61 | — | 4 | 2 | no | — |
| 179 | C4×C61 | — | 2 | 1 | no | — |
| 180 | C4×C61 | — | 4 | 2 | no | — |
| 181 | C4×C61 | #568 | 1 | 1 | yes | characteristic |
| 182 | C4×C61 | #568 | 1 | 1 | yes | characteristic |
| 183 | Dic61 | — | 2 | 1 | no | — |
| 184 | Dic61 | — | 2 | 1 | no | — |
| 185 | Dic61 | — | 2 | 1 | no | — |
| 186 | Dic61 | — | 4 | 2 | no | — |
| 187 | Dic61 | #576 | 1 | 1 | yes | characteristic |
| 188 | Dic61 | #576 | 1 | 1 | yes | characteristic |
| 189 | #3169 | — | 61 | 1 | no | — |
| 190 | #2981 | — | 61 | 2 | no | — |
| 191 | #1586 | — | 61 | 2 | no | — |
| 192 | #1586 | — | 61 | 2 | no | — |
| 193 | #1581 | — | 61 | 2 | no | — |
| 194 | #1581 | — | 61 | 2 | no | — |
| 195 | #1568 | — | 61 | 1 | no | — |
| 196 | #1496 | — | 61 | 2 | no | — |
| 197 | #1452 | — | 61 | 1 | no | — |
| 198 | C2×C61 | — | 4 | 1 | no | — |
| 199 | C2×C61 | — | 8 | 2 | no | — |
| 200 | C2×C61 | #2932 | 1 | 1 | yes | characteristic |
| 201 | C2×C61 | #2948 | 1 | 1 | yes | characteristic |
| 202 | C2×C61 | #2957 | 1 | 1 | yes | characteristic |
| 203 | D61 | — | 8 | 2 | no | — |
| 204 | #532 | — | 61 | 2 | no | — |
| 205 | #500 | — | 61 | 1 | no | — |
| 206 | #493 | — | 61 | 1 | no | — |
| 207 | #486 | — | 61 | 2 | no | — |
| 208 | #466 | — | 61 | 1 | no | — |
| 209 | #466 | — | 61 | 2 | no | — |
| 210 | #466 | #6923 | 1 | 1 | yes | characteristic |
| 211 | C4×D8 | — | 61 | 1 | no | — |
| 212 | C4×D8 | — | 61 | 1 | no | — |
| 213 | C4×D8 | — | 61 | 2 | no | — |
| 214 | #436 | — | 61 | 2 | no | — |
| 215 | #436 | — | 61 | 2 | no | — |
| 216 | #435 | — | 122 | 2 | no | — |
| 217 | #435 | — | 122 | 2 | no | — |
| 218 | C8×D4 | — | 61 | 2 | no | — |
| 219 | C8×D4 | — | 61 | 2 | no | — |
| 220 | #432 | — | 61 | 2 | no | — |
| 221 | #431 | — | 61 | 1 | no | — |
| 222 | #431 | — | 61 | 1 | no | — |
| 223 | #408 | — | 122 | 2 | no | — |
| 224 | #408 | — | 122 | 2 | no | — |
| 225 | C2×C4×C8 | — | 61 | 1 | no | — |
| 226 | #335 | — | 61 | 1 | no | — |
| 227 | #335 | — | 61 | 1 | no | — |
| 228 | #334 | — | 61 | 2 | no | — |
| 229 | D4⋊C8 | — | 61 | 2 | no | — |
| 230 | D4⋊C8 | — | 61 | 2 | no | — |
| 231 | D4⋊C8 | — | 61 | 2 | no | — |
| 232 | D4⋊C8 | — | 61 | 2 | no | — |
| 233 | #322 | — | 61 | 2 | no | — |
| 234 | #322 | — | 61 | 2 | no | — |
| 235 | C61 | #17989 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 236 | C2×#41 | — | 122 | 2 | no | — |
| 237 | C2×D8 | — | 61 | 2 | no | — |
| 238 | C2×D8 | — | 61 | 1 | no | — |
| 239 | C2×D8 | C2×#6923 | 1 | 1 | yes | characteristic |
| 240 | C2×M16 | — | 122 | 2 | no | — |
| 241 | C2×M16 | — | 122 | 2 | no | — |
| 242 | C22×C8 | — | 61 | 1 | no | — |
| 243 | C22×C8 | — | 122 | 2 | no | — |
| 244 | C22×C8 | — | 122 | 2 | no | — |
| 245 | C22×C8 | C2×#6923 | 1 | 1 | yes | characteristic |
| 246 | C4⋊Q8 | — | 61 | 2 | no | — |
| 247 | #127 | — | 61 | 2 | no | — |
| 248 | #124 | — | 122 | 2 | no | — |
| 249 | #121 | — | 61 | 2 | no | — |
| 250 | #121 | — | 122 | 2 | no | — |
| 251 | #121 | C2×#6923 | 1 | 2 | yes | — |
| 252 | C4×D4 | — | 61 | 2 | no | — |
| 253 | C4×D4 | — | 61 | 2 | no | — |
| 254 | C4×D4 | — | 122 | 2 | no | — |
| 255 | C2×C42 | — | 61 | 1 | no | — |
| 256 | #107 | — | 61 | 1 | no | — |
| 257 | #107 | — | 61 | 2 | no | — |
| 258 | #107 | C2×#6923 | 1 | 1 | yes | characteristic |
| 259 | C4⋊C8 | — | 61 | 1 | no | — |
| 260 | C4⋊C8 | — | 61 | 1 | no | — |
| 261 | C4⋊C8 | — | 61 | 2 | no | — |
| 262 | C4⋊C8 | — | 61 | 2 | no | — |
| 263 | C4⋊C8 | — | 122 | 1 | no | — |
| 264 | #102 | — | 61 | 2 | no | — |
| 265 | #102 | — | 61 | 2 | no | — |
| 266 | #102 | — | 61 | 2 | no | — |
| 267 | #102 | C2×#6923 | 1 | 2 | yes | — |
| 268 | C22⋊C8 | — | 61 | 2 | no | — |
| 269 | C22⋊C8 | — | 122 | 2 | no | — |
| 270 | C22⋊C8 | — | 122 | 2 | no | — |
| 271 | C22⋊C8 | — | 122 | 2 | no | — |
| 272 | C22⋊C8 | — | 122 | 2 | no | — |
| 273 | C22⋊C8 | — | 122 | 2 | no | — |
| 274 | C22⋊C8 | — | 122 | 1 | no | — |
| 275 | #97 | — | 122 | 2 | no | — |
| 276 | C4×C8 | — | 61 | 2 | no | — |
| 277 | C4×C8 | — | 61 | 1 | no | — |
| 278 | C4×C8 | — | 61 | 1 | no | — |
| 279 | C4×C8 | — | 61 | 1 | no | — |
| 280 | C4×C8 | — | 61 | 1 | no | — |
| 281 | C4×C8 | — | 61 | 2 | no | — |
| 282 | #41 | — | 488 | 2 | no | — |
| 283 | #41 | — | 488 | 2 | no | — |
| 284 | C2×Q8 | — | 122 | 2 | no | — |
| 285 | C2×D4 | — | 2 | 2 | no | — |
| 286 | C2×D4 | — | 61 | 2 | no | — |
| 287 | C2×D4 | — | 122 | 2 | no | — |
| 288 | C2×D4 | — | 122 | 2 | no | — |
| 289 | C2×D4 | — | 122 | 2 | no | — |
| 290 | C2×D4 | C22×#6923 | 1 | 2 | yes | — |
| 291 | C22×C4 | — | 61 | 1 | no | — |
| 292 | C22×C4 | — | 61 | 1 | no | — |
| 293 | C22×C4 | — | 122 | 2 | no | — |
| 294 | C22×C4 | — | 122 | 2 | no | — |
| 295 | C22×C4 | C22×#6923 | 1 | 1 | yes | characteristic |
| 296 | D8 | — | 4 | 1 | no | — |
| 297 | D8 | — | 244 | 1 | no | — |
| 298 | D8 | — | 244 | 2 | no | — |
| 299 | M16 | — | 488 | 2 | no | — |
| 300 | M16 | — | 488 | 2 | no | — |
| 301 | C2×C8 | — | 4 | 1 | no | — |
| 302 | C2×C8 | — | 61 | 2 | no | — |
| 303 | C2×C8 | — | 61 | 2 | no | — |
| 304 | C2×C8 | — | 61 | 1 | no | — |
| 305 | C2×C8 | — | 61 | 1 | no | — |
| 306 | C2×C8 | — | 122 | 2 | no | — |
| 307 | C2×C8 | — | 122 | 2 | no | — |
| 308 | C2×C8 | — | 122 | 2 | no | — |
| 309 | C2×C8 | — | 488 | 2 | no | — |
| 310 | C2×C8 | — | 488 | 2 | no | — |
| 311 | C2×C8 | — | 244 | 1 | no | — |
| 312 | C2×C8 | C22×#6923 | 1 | 1 | yes | characteristic |
| 313 | C2×C8 | C22×#6923 | 1 | 1 | yes | characteristic |
| 314 | C4⋊C4 | — | 61 | 2 | no | — |
| 315 | C4⋊C4 | — | 122 | 2 | no | — |
| 316 | C4⋊C4 | C22×#6923 | 1 | 2 | yes | — |
| 317 | C22⋊C4 | — | 2 | 2 | no | — |
| 318 | C22⋊C4 | — | 122 | 2 | no | — |
| 319 | C22⋊C4 | — | 122 | 2 | no | — |
| 320 | C22⋊C4 | — | 122 | 2 | no | — |
| 321 | C42 | — | 61 | 1 | no | — |
| 322 | C42 | — | 61 | 1 | no | — |
| 323 | C42 | — | 61 | 1 | no | — |
| 324 | C42 | — | 61 | 1 | no | — |
| 325 | C23 | — | 2 | 2 | no | — |
| 326 | C23 | — | 122 | 2 | no | — |
| 327 | C23 | D4×#6923 | 1 | 1 | yes | characteristic |
| 328 | Q8 | — | 488 | 2 | no | — |
| 329 | D4 | — | 2 | 2 | no | — |
| 330 | D4 | — | 2 | 2 | no | — |
| 331 | D4 | — | 8 | 2 | no | — |
| 332 | D4 | — | 122 | 2 | no | — |
| 333 | D4 | — | 122 | 2 | no | — |
| 334 | D4 | — | 488 | 2 | no | — |
| 335 | D4 | — | 488 | 2 | no | — |
| 336 | D4 | — | 488 | 2 | no | — |
| 337 | C2×C4 | — | 2 | 1 | no | — |
| 338 | C2×C4 | — | 2 | 1 | no | — |
| 339 | C2×C4 | — | 2 | 2 | no | — |
| 340 | C2×C4 | — | 61 | 1 | no | — |
| 341 | C2×C4 | — | 61 | 1 | no | — |
| 342 | C2×C4 | — | 61 | 1 | no | — |
| 343 | C2×C4 | — | 61 | 1 | no | — |
| 344 | C2×C4 | — | 122 | 1 | no | — |
| 345 | C2×C4 | — | 122 | 1 | no | — |
| 346 | C2×C4 | — | 122 | 2 | no | — |
| 347 | C2×C4 | — | 244 | 2 | no | — |
| 348 | C2×C4 | — | 244 | 2 | no | — |
| 349 | C2×C4 | — | 244 | 2 | no | — |
| 350 | C2×C4 | — | 244 | 2 | no | — |
| 351 | C2×C4 | — | 244 | 1 | no | — |
| 352 | C2×C4 | D4×#6923 | 1 | 1 | yes | characteristic |
| 353 | C2×C4 | C23×#6923 | 1 | 1 | yes | characteristic |
| 354 | C8 | — | 2 | 1 | no | — |
| 355 | C8 | — | 2 | 1 | no | — |
| 356 | C8 | — | 122 | 2 | no | — |
| 357 | C8 | — | 122 | 2 | no | — |
| 358 | C8 | — | 122 | 1 | no | — |
| 359 | C8 | — | 122 | 1 | no | — |
| 360 | C8 | — | 244 | 2 | no | — |
| 361 | C8 | — | 244 | 2 | no | — |
| 362 | C8 | — | 244 | 2 | no | — |
| 363 | C22 | — | 2 | 1 | no | — |
| 364 | C22 | — | 2 | 1 | no | — |
| 365 | C22 | — | 2 | 1 | no | — |
| 366 | C22 | — | 4 | 2 | no | — |
| 367 | C22 | — | 4 | 2 | no | — |
| 368 | C22 | — | 4 | 2 | no | — |
| 369 | C22 | — | 244 | 2 | no | — |
| 370 | C22 | — | 244 | 2 | no | — |
| 371 | C22 | — | 244 | 2 | no | — |
| 372 | C22 | C2×D4×#6923 | 1 | 1 | yes | characteristic |
| 373 | C4 | — | 2 | 1 | no | — |
| 374 | C4 | — | 4 | 2 | no | — |
| 375 | C4 | — | 61 | 1 | no | — |
| 376 | C4 | — | 61 | 1 | no | — |
| 377 | C4 | — | 122 | 1 | no | — |
| 378 | C4 | — | 122 | 1 | no | — |
| 379 | C4 | — | 122 | 1 | no | — |
| 380 | C4 | — | 244 | 2 | no | — |
| 381 | C4 | #16840840 | 1 | 1 | yes | characteristic |
| 382 | C4 | #16840841 | 1 | 1 | yes | characteristic |
| 383 | C2 | — | 4 | 1 | no | — |
| 384 | C2 | — | 8 | 2 | no | — |
| 385 | C2 | — | 488 | 2 | no | — |
| 386 | C2 | #21462547 | 1 | 1 | yes | characteristic |
| 387 | C2 | #21462578 | 1 | 1 | yes | characteristic |
| 388 | C2 | #21462596 | 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