← #72322785
Subgroups — #72322785
Order 2048.
499 conjugacy classes of subgroups.
The subgroup lattice has 373 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #72321153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72321145 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72320573 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72286491 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | C2×#94614 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #72234379 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72232021 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#13654 | C22 | 1 | 1 | yes | characteristic |
| 9 | #483828 | — | 2 | 1 | no | — |
| 10 | C2×#7541 | C4 | 1 | 1 | yes | characteristic |
| 11 | #153557 | C4 | 1 | 1 | yes | characteristic |
| 12 | C2×#7511 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#7511 | C22 | 1 | 1 | yes | characteristic |
| 14 | #151996 | C22 | 1 | 1 | yes | characteristic |
| 15 | #151129 | — | 2 | 2 | no | — |
| 16 | #151129 | C4 | 1 | 4 | yes | complemented |
| 17 | C2×#7464 | C22 | 1 | 1 | yes | characteristic |
| 18 | #151037 | C22 | 1 | 1 | yes | characteristic |
| 19 | #150064 | — | 2 | 1 | no | — |
| 20 | #149496 | C22 | 1 | 1 | yes | characteristic |
| 21 | #129151 | — | 2 | 1 | no | — |
| 22 | #94767 | C4 | 1 | 1 | yes | characteristic |
| 23 | #94764 | C4 | 1 | 1 | yes | characteristic |
| 24 | #94614 | C4 | 1 | 4 | yes | complemented |
| 25 | #94506 | — | 2 | 2 | no | — |
| 26 | #94054 | — | 2 | 1 | no | — |
| 27 | C22×D32 | C2×C4 | 1 | 1 | yes | characteristic |
| 28 | C2×C4×D16 | — | 2 | 1 | no | — |
| 29 | #17895 | — | 4 | 1 | no | — |
| 30 | C2×M128 | — | 2 | 1 | no | — |
| 31 | C2×M128 | C2×C4 | 1 | 1 | yes | characteristic |
| 32 | C2×M128 | C2×C4 | 1 | 1 | yes | characteristic |
| 33 | #13654 | — | 2 | 1 | no | — |
| 34 | #13654 | — | 2 | 1 | no | — |
| 35 | #13654 | C2×C4 | 1 | 2 | yes | — |
| 36 | #13654 | C2×C4 | 1 | 2 | yes | — |
| 37 | C2×#1425 | C2×C4 | 1 | 1 | yes | characteristic |
| 38 | #13633 | C2×C4 | 1 | 1 | yes | characteristic |
| 39 | C2×#1424 | C2×C4 | 1 | 1 | yes | characteristic |
| 40 | C2×#1415 | — | 2 | 1 | no | — |
| 41 | C4×M64 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×#1397 | C23 | 1 | 1 | yes | characteristic |
| 43 | #12670 | — | 2 | 1 | no | — |
| 44 | #12667 | — | 4 | 1 | no | — |
| 45 | #12086 | — | 2 | 4 | no | — |
| 46 | #12081 | — | 4 | 2 | no | — |
| 47 | C2×#1373 | — | 2 | 1 | no | — |
| 48 | #12008 | — | 2 | 1 | no | — |
| 49 | #11593 | — | 4 | 1 | no | — |
| 50 | #11399 | D4 | 1 | 1 | yes | characteristic |
| 51 | #7541 | — | 2 | 2 | no | — |
| 52 | #7537 | — | 2 | 2 | no | — |
| 53 | #7511 | — | 2 | 1 | no | — |
| 54 | #7511 | — | 2 | 1 | no | — |
| 55 | #7511 | — | 2 | 1 | no | — |
| 56 | #7511 | C2×C4 | 1 | 2 | yes | — |
| 57 | #7473 | — | 2 | 1 | no | — |
| 58 | #7464 | — | 2 | 1 | no | — |
| 59 | #7464 | C2×C4 | 1 | 2 | yes | — |
| 60 | #7463 | — | 2 | 1 | no | — |
| 61 | #7463 | C2×C4 | 1 | 2 | yes | — |
| 62 | #7385 | — | 2 | 4 | no | — |
| 63 | #7330 | C2×C4 | 1 | 2 | yes | — |
| 64 | #7330 | D4 | 1 | 2 | yes | — |
| 65 | #7180 | — | 4 | 1 | no | — |
| 66 | C22×D16 | — | 2 | 1 | no | — |
| 67 | #2975 | — | 8 | 1 | no | — |
| 68 | C2×C4×D8 | — | 4 | 1 | no | — |
| 69 | C2×D32 | — | 2 | 1 | no | — |
| 70 | C2×D32 | — | 2 | 1 | no | — |
| 71 | C2×D32 | — | 2 | 1 | no | — |
| 72 | C2×D32 | — | 2 | 1 | no | — |
| 73 | C2×D32 | — | 2 | 1 | no | — |
| 74 | C2×D32 | C42 | 1 | 2 | yes | — |
| 75 | C2×M64 | — | 2 | 1 | no | — |
| 76 | C22×C32 | C22×C4 | 1 | 1 | yes | characteristic |
| 77 | C22×C32 | #41 | 1 | 1 | yes | characteristic |
| 78 | C4×D16 | — | 2 | 2 | no | — |
| 79 | C4×D16 | — | 2 | 2 | no | — |
| 80 | C4×D16 | — | 4 | 1 | no | — |
| 81 | C4×D16 | — | 4 | 1 | no | — |
| 82 | C2×#368 | — | 2 | 1 | no | — |
| 83 | #2158 | — | 2 | 1 | no | — |
| 84 | C2×#366 | — | 2 | 1 | no | — |
| 85 | C2×#364 | — | 4 | 1 | no | — |
| 86 | C2×#357 | — | 4 | 1 | no | — |
| 87 | #2110 | — | 8 | 1 | no | — |
| 88 | C4×M32 | D8 | 1 | 1 | yes | characteristic |
| 89 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 90 | #1772 | — | 4 | 1 | no | — |
| 91 | #1594 | — | 8 | 2 | no | — |
| 92 | #1589 | — | 4 | 4 | no | — |
| 93 | #1564 | — | 4 | 1 | no | — |
| 94 | #1478 | — | 8 | 1 | no | — |
| 95 | #1450 | D8 | 1 | 1 | yes | characteristic |
| 96 | M128 | — | 2 | 2 | no | — |
| 97 | M128 | — | 2 | 1 | no | — |
| 98 | M128 | — | 2 | 1 | no | — |
| 99 | M128 | — | 2 | 2 | no | — |
| 100 | M128 | — | 2 | 1 | no | — |
| 101 | M128 | M16 | 1 | 2 | yes | complemented |
| 102 | C2×C64 | — | 2 | 2 | no | — |
| 103 | C2×C64 | — | 2 | 1 | no | — |
| 104 | C2×C64 | M16 | 1 | 2 | yes | complemented |
| 105 | #1425 | — | 2 | 1 | no | — |
| 106 | #1425 | — | 2 | 1 | no | — |
| 107 | #1424 | — | 2 | 1 | no | — |
| 108 | #1424 | — | 2 | 1 | no | — |
| 109 | #1424 | C42 | 1 | 2 | yes | — |
| 110 | #1423 | — | 2 | 1 | no | — |
| 111 | #1415 | — | 2 | 2 | no | — |
| 112 | #1415 | — | 2 | 2 | no | — |
| 113 | #1397 | C22⋊C4 | 1 | 2 | yes | — |
| 114 | #1397 | C22×C4 | 1 | 1 | yes | characteristic |
| 115 | #1397 | C22×C4 | 1 | 1 | yes | characteristic |
| 116 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 117 | #1397 | #41 | 1 | 1 | yes | characteristic |
| 118 | C4×C32 | — | 2 | 1 | no | — |
| 119 | #1382 | — | 4 | 1 | no | — |
| 120 | #1378 | — | 8 | 1 | no | — |
| 121 | #1373 | — | 2 | 2 | no | — |
| 122 | #1373 | — | 4 | 1 | no | — |
| 123 | #1372 | — | 2 | 2 | no | — |
| 124 | #1371 | — | 4 | 1 | no | — |
| 125 | #1331 | — | 4 | 4 | no | — |
| 126 | #1311 | C22⋊C4 | 1 | 2 | yes | — |
| 127 | C8×C16 | SD16 | 1 | 2 | yes | — |
| 128 | C22×D8 | — | 4 | 1 | no | — |
| 129 | C2×C4×D4 | — | 8 | 1 | no | — |
| 130 | C2×D16 | — | 2 | 2 | no | — |
| 131 | C2×D16 | — | 4 | 1 | no | — |
| 132 | C2×D16 | — | 4 | 1 | no | — |
| 133 | C2×D16 | — | 4 | 1 | no | — |
| 134 | C2×D16 | — | 4 | 1 | no | — |
| 135 | C2×D16 | — | 4 | 1 | no | — |
| 136 | C2×M32 | — | 2 | 1 | no | — |
| 137 | C2×M32 | — | 8 | 1 | no | — |
| 138 | C22×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 139 | C22×C16 | #135 | 1 | 1 | yes | characteristic |
| 140 | C4×D8 | — | 4 | 2 | no | — |
| 141 | C4×D8 | — | 4 | 2 | no | — |
| 142 | C4×D8 | — | 8 | 1 | no | — |
| 143 | C4×D8 | — | 8 | 1 | no | — |
| 144 | #436 | — | 8 | 4 | no | — |
| 145 | #436 | — | 16 | 2 | no | — |
| 146 | #431 | — | 2 | 1 | no | — |
| 147 | #431 | — | 8 | 1 | no | — |
| 148 | C2×#108 | — | 4 | 1 | no | — |
| 149 | #427 | — | 4 | 1 | no | — |
| 150 | C2×#107 | — | 4 | 1 | no | — |
| 151 | C2×#102 | — | 8 | 1 | no | — |
| 152 | #407 | — | 16 | 2 | no | — |
| 153 | #405 | — | 8 | 1 | no | — |
| 154 | C2×C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 155 | D32 | — | 2 | 2 | no | — |
| 156 | D32 | — | 2 | 2 | no | — |
| 157 | D32 | — | 4 | 1 | no | — |
| 158 | D32 | — | 4 | 1 | no | — |
| 159 | M64 | — | 4 | 1 | no | — |
| 160 | M64 | — | 4 | 1 | no | — |
| 161 | C2×C32 | — | 2 | 1 | no | — |
| 162 | C2×C32 | — | 2 | 1 | no | — |
| 163 | C2×C32 | — | 2 | 2 | no | — |
| 164 | C2×C32 | C2×C42 | 1 | 1 | yes | characteristic |
| 165 | C2×C32 | #117 | 1 | 1 | yes | characteristic |
| 166 | C2×C32 | C4×D4 | 1 | 1 | yes | characteristic |
| 167 | C2×C32 | C4×D4 | 1 | 1 | yes | characteristic |
| 168 | C2×C32 | C2×M16 | 1 | 1 | yes | characteristic |
| 169 | C2×C32 | C2×M16 | 1 | 1 | yes | characteristic |
| 170 | C2×C32 | #131 | 1 | 1 | yes | characteristic |
| 171 | C2×C32 | #131 | 1 | 1 | yes | characteristic |
| 172 | #368 | — | 4 | 1 | no | — |
| 173 | #368 | — | 4 | 1 | no | — |
| 174 | #367 | — | 4 | 1 | no | — |
| 175 | #366 | — | 2 | 2 | no | — |
| 176 | #366 | — | 4 | 1 | no | — |
| 177 | #366 | — | 4 | 1 | no | — |
| 178 | #364 | — | 4 | 2 | no | — |
| 179 | #364 | — | 8 | 1 | no | — |
| 180 | #357 | — | 4 | 2 | no | — |
| 181 | #357 | — | 4 | 2 | no | — |
| 182 | #347 | — | 16 | 2 | no | — |
| 183 | #346 | — | 2 | 1 | no | — |
| 184 | C4×C16 | #102 | 1 | 2 | yes | — |
| 185 | C4×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 186 | C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 187 | C4×C16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 188 | C4×C16 | #135 | 1 | 1 | yes | characteristic |
| 189 | #339 | — | 8 | 1 | no | — |
| 190 | #335 | — | 4 | 2 | no | — |
| 191 | #334 | — | 8 | 1 | no | — |
| 192 | D4⋊C8 | — | 8 | 4 | no | — |
| 193 | #322 | — | 2 | 1 | no | — |
| 194 | C82 | #102 | 1 | 2 | yes | — |
| 195 | C64 | — | 2 | 4 | no | — |
| 196 | C64 | — | 2 | 2 | no | — |
| 197 | C64 | — | 2 | 2 | no | — |
| 198 | C22×D4 | — | 8 | 1 | no | — |
| 199 | C23×C4 | — | 16 | 1 | no | — |
| 200 | C2×D8 | — | 4 | 2 | no | — |
| 201 | C2×D8 | — | 8 | 1 | no | — |
| 202 | C2×D8 | — | 8 | 1 | no | — |
| 203 | C2×D8 | — | 8 | 1 | no | — |
| 204 | C2×D8 | — | 8 | 1 | no | — |
| 205 | C2×D8 | — | 8 | 1 | no | — |
| 206 | C2×M16 | — | 8 | 1 | no | — |
| 207 | C2×M16 | — | 16 | 4 | no | — |
| 208 | C22×C8 | C4×D8 | 1 | 1 | yes | characteristic |
| 209 | C22×C8 | #509 | 1 | 1 | yes | characteristic |
| 210 | C4×D4 | — | 8 | 2 | no | — |
| 211 | C4×D4 | — | 8 | 2 | no | — |
| 212 | C4×D4 | — | 16 | 1 | no | — |
| 213 | C4×D4 | — | 16 | 1 | no | — |
| 214 | #117 | — | 8 | 1 | no | — |
| 215 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 216 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 217 | C2×C42 | #509 | 1 | 1 | yes | characteristic |
| 218 | D16 | — | 4 | 2 | no | — |
| 219 | D16 | — | 4 | 2 | no | — |
| 220 | D16 | — | 8 | 1 | no | — |
| 221 | D16 | — | 8 | 1 | no | — |
| 222 | M32 | — | 4 | 1 | no | — |
| 223 | M32 | — | 4 | 1 | no | — |
| 224 | M32 | — | 8 | 2 | no | — |
| 225 | M32 | — | 16 | 1 | no | — |
| 226 | C2×C16 | — | 2 | 1 | no | — |
| 227 | C2×C16 | — | 2 | 1 | no | — |
| 228 | C2×C16 | — | 2 | 2 | no | — |
| 229 | C2×C16 | — | 16 | 1 | no | — |
| 230 | C2×C16 | C4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 231 | C2×C16 | #416 | 1 | 1 | yes | characteristic |
| 232 | C2×C16 | #436 | 1 | 1 | yes | characteristic |
| 233 | C2×C16 | #436 | 1 | 1 | yes | characteristic |
| 234 | C2×C16 | C4×SD16 | 1 | 1 | yes | characteristic |
| 235 | C2×C16 | C4×SD16 | 1 | 1 | yes | characteristic |
| 236 | C2×C16 | #443 | 1 | 1 | yes | characteristic |
| 237 | C2×C16 | #443 | 1 | 1 | yes | characteristic |
| 238 | #108 | — | 8 | 1 | no | — |
| 239 | #108 | — | 8 | 1 | no | — |
| 240 | #107 | — | 4 | 2 | no | — |
| 241 | #107 | — | 8 | 1 | no | — |
| 242 | #107 | — | 8 | 1 | no | — |
| 243 | #106 | — | 8 | 1 | no | — |
| 244 | C4⋊C8 | — | 4 | 1 | no | — |
| 245 | C4⋊C8 | — | 8 | 2 | no | — |
| 246 | #102 | — | 8 | 2 | no | — |
| 247 | #102 | — | 8 | 2 | no | — |
| 248 | C22⋊C8 | — | 4 | 1 | no | — |
| 249 | C22⋊C8 | — | 16 | 4 | no | — |
| 250 | C22⋊C8 | — | 16 | 1 | no | — |
| 251 | #97 | — | 16 | 1 | no | — |
| 252 | C4×C8 | — | 2 | 2 | no | — |
| 253 | C4×C8 | — | 16 | 1 | no | — |
| 254 | C4×C8 | — | 16 | 1 | no | — |
| 255 | C4×C8 | C2×#102 | 1 | 1 | yes | characteristic |
| 256 | C4×C8 | C4×D8 | 1 | 1 | yes | characteristic |
| 257 | C4×C8 | #509 | 1 | 1 | yes | characteristic |
| 258 | C4×C8 | #510 | 1 | 1 | yes | characteristic |
| 259 | C32 | — | 2 | 1 | no | — |
| 260 | C32 | — | 2 | 1 | no | — |
| 261 | C32 | — | 4 | 2 | no | — |
| 262 | C32 | C4×M16 | 1 | 1 | yes | characteristic |
| 263 | C32 | #405 | 1 | 1 | yes | characteristic |
| 264 | C32 | #435 | 1 | 1 | yes | characteristic |
| 265 | C32 | #435 | 1 | 1 | yes | characteristic |
| 266 | C24 | — | 16 | 1 | no | — |
| 267 | C2×D4 | — | 8 | 2 | no | — |
| 268 | C2×D4 | — | 16 | 1 | no | — |
| 269 | C2×D4 | — | 16 | 1 | no | — |
| 270 | C2×D4 | — | 16 | 1 | no | — |
| 271 | C2×D4 | — | 16 | 1 | no | — |
| 272 | C2×D4 | — | 16 | 1 | no | — |
| 273 | C22×C4 | — | 2 | 1 | no | — |
| 274 | C22×C4 | — | 16 | 2 | no | — |
| 275 | C22×C4 | — | 16 | 2 | no | — |
| 276 | C22×C4 | — | 16 | 1 | no | — |
| 277 | C22×C4 | — | 64 | 2 | no | — |
| 278 | C22×C4 | #2177 | 1 | 1 | yes | characteristic |
| 279 | D8 | — | 8 | 2 | no | — |
| 280 | D8 | — | 8 | 2 | no | — |
| 281 | D8 | — | 16 | 1 | no | — |
| 282 | D8 | — | 16 | 1 | no | — |
| 283 | M16 | — | 16 | 1 | no | — |
| 284 | M16 | — | 16 | 1 | no | — |
| 285 | M16 | — | 64 | 4 | no | — |
| 286 | C2×C8 | — | 2 | 1 | no | — |
| 287 | C2×C8 | — | 2 | 1 | no | — |
| 288 | C2×C8 | — | 4 | 2 | no | — |
| 289 | C2×C8 | — | 16 | 2 | no | — |
| 290 | C2×C8 | — | 16 | 1 | no | — |
| 291 | C2×C8 | #1589 | 1 | 1 | yes | characteristic |
| 292 | C2×C8 | #1589 | 1 | 1 | yes | characteristic |
| 293 | C2×C8 | C4×#102 | 1 | 1 | yes | characteristic |
| 294 | C2×C8 | #2139 | 1 | 1 | yes | characteristic |
| 295 | C2×C8 | #2175 | 1 | 1 | yes | characteristic |
| 296 | C2×C8 | #2177 | 1 | 1 | yes | characteristic |
| 297 | C2×C8 | #2179 | 1 | 1 | yes | characteristic |
| 298 | C2×C8 | #2179 | 1 | 1 | yes | characteristic |
| 299 | C4⋊C4 | — | 8 | 2 | no | — |
| 300 | C4⋊C4 | — | 16 | 1 | no | — |
| 301 | C4⋊C4 | — | 16 | 1 | no | — |
| 302 | C22⋊C4 | — | 16 | 2 | no | — |
| 303 | C22⋊C4 | — | 16 | 2 | no | — |
| 304 | C22⋊C4 | — | 16 | 1 | no | — |
| 305 | C42 | — | 2 | 1 | no | — |
| 306 | C42 | — | 16 | 1 | no | — |
| 307 | C42 | #2140 | 1 | 1 | yes | characteristic |
| 308 | C42 | #2175 | 1 | 1 | yes | characteristic |
| 309 | C16 | — | 2 | 1 | no | — |
| 310 | C16 | — | 2 | 1 | no | — |
| 311 | C16 | — | 4 | 2 | no | — |
| 312 | C16 | — | 16 | 2 | no | — |
| 313 | C16 | #1590 | 1 | 1 | yes | characteristic |
| 314 | C16 | #1590 | 1 | 1 | yes | characteristic |
| 315 | C16 | #1753 | 1 | 1 | yes | characteristic |
| 316 | C16 | #1764 | 1 | 1 | yes | characteristic |
| 317 | C23 | — | 16 | 2 | no | — |
| 318 | C23 | — | 32 | 1 | no | — |
| 319 | C23 | — | 32 | 1 | no | — |
| 320 | C23 | — | 64 | 1 | no | — |
| 321 | C23 | — | 64 | 1 | no | — |
| 322 | C23 | #13658 | 1 | 1 | yes | characteristic |
| 323 | D4 | — | 16 | 2 | no | — |
| 324 | D4 | — | 16 | 2 | no | — |
| 325 | D4 | — | 32 | 1 | no | — |
| 326 | D4 | — | 32 | 1 | no | — |
| 327 | C2×C4 | — | 2 | 1 | no | — |
| 328 | C2×C4 | — | 2 | 1 | no | — |
| 329 | C2×C4 | — | 8 | 1 | no | — |
| 330 | C2×C4 | — | 16 | 2 | no | — |
| 331 | C2×C4 | — | 32 | 4 | no | — |
| 332 | C2×C4 | — | 32 | 1 | no | — |
| 333 | C2×C4 | — | 64 | 2 | no | — |
| 334 | C2×C4 | — | 64 | 1 | no | — |
| 335 | C2×C4 | #12086 | 1 | 1 | yes | characteristic |
| 336 | C2×C4 | #12086 | 1 | 1 | yes | characteristic |
| 337 | C2×C4 | #12637 | 1 | 1 | yes | characteristic |
| 338 | C2×C4 | #13657 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | #13658 | 1 | 1 | yes | characteristic |
| 340 | C2×C4 | #13658 | 1 | 1 | yes | characteristic |
| 341 | C8 | — | 2 | 1 | no | — |
| 342 | C8 | — | 2 | 1 | no | — |
| 343 | C8 | — | 8 | 2 | no | — |
| 344 | C8 | — | 32 | 2 | no | — |
| 345 | C8 | — | 32 | 1 | no | — |
| 346 | C8 | #8206 | 1 | 1 | yes | characteristic |
| 347 | C8 | #12084 | 1 | 1 | yes | characteristic |
| 348 | C8 | #12084 | 1 | 1 | yes | characteristic |
| 349 | C8 | #12642 | 1 | 1 | yes | characteristic |
| 350 | C22 | — | 4 | 1 | no | — |
| 351 | C22 | — | 32 | 2 | no | — |
| 352 | C22 | — | 32 | 2 | no | — |
| 353 | C22 | — | 32 | 2 | no | — |
| 354 | C22 | — | 64 | 2 | no | — |
| 355 | C22 | — | 64 | 2 | no | — |
| 356 | C22 | #151127 | 1 | 1 | yes | characteristic |
| 357 | C22 | #151129 | 1 | 1 | yes | characteristic |
| 358 | C22 | #151969 | 1 | 1 | yes | characteristic |
| 359 | C4 | — | 4 | 1 | no | — |
| 360 | C4 | — | 4 | 1 | no | — |
| 361 | C4 | — | 32 | 2 | no | — |
| 362 | C4 | — | 64 | 1 | no | — |
| 363 | C4 | #128731 | 1 | 1 | yes | characteristic |
| 364 | C4 | #151127 | 1 | 1 | yes | characteristic |
| 365 | C4 | #151129 | 1 | 1 | yes | characteristic |
| 366 | C4 | #151972 | 1 | 1 | yes | characteristic |
| 367 | C2 | — | 2 | 1 | no | — |
| 368 | C2 | — | 2 | 1 | no | — |
| 369 | C2 | — | 2 | 1 | no | — |
| 370 | C2 | — | 64 | 2 | no | — |
| 371 | C2 | #72322783 | 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