← #492790
Subgroups — #492790
Order 512.
386 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 | #33954 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #33950 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #20010 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #20008 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #12524 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #12460 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #12459 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #12450 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #12446 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #12409 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #12406 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #12405 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #12405 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #12053 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #12044 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | #3395 | — | 2 | 1 | no | — |
| 17 | #3383 | C22 | 1 | 1 | yes | characteristic |
| 18 | #3383 | C22 | 1 | 1 | yes | characteristic |
| 19 | #3383 | C22 | 1 | 1 | yes | characteristic |
| 20 | Q8×Q16 | C22 | 1 | 1 | yes | characteristic |
| 21 | #3363 | — | 2 | 1 | no | — |
| 22 | #2255 | — | 2 | 1 | no | — |
| 23 | #2254 | C22 | 1 | 1 | yes | characteristic |
| 24 | #2254 | C22 | 1 | 1 | yes | characteristic |
| 25 | #2253 | — | 2 | 1 | no | — |
| 26 | #2252 | C22 | 1 | 1 | yes | characteristic |
| 27 | #2252 | C22 | 1 | 1 | yes | characteristic |
| 28 | #2229 | — | 2 | 1 | no | — |
| 29 | #2229 | — | 2 | 1 | no | — |
| 30 | #2229 | — | 2 | 1 | no | — |
| 31 | #2227 | C22 | 1 | 1 | yes | characteristic |
| 32 | #2225 | — | 2 | 1 | no | — |
| 33 | #2225 | C22 | 1 | 1 | yes | characteristic |
| 34 | #2225 | C22 | 1 | 1 | yes | characteristic |
| 35 | #2225 | C22 | 1 | 1 | yes | characteristic |
| 36 | #2183 | C22 | 1 | 1 | yes | characteristic |
| 37 | Q8×C16 | C22 | 1 | 1 | yes | characteristic |
| 38 | #2176 | — | 2 | 1 | no | — |
| 39 | C4×Q32 | — | 2 | 1 | no | — |
| 40 | C4×Q32 | C22 | 1 | 1 | yes | characteristic |
| 41 | #1713 | C22 | 1 | 1 | yes | characteristic |
| 42 | #1710 | C22 | 1 | 1 | yes | characteristic |
| 43 | #1684 | — | 2 | 1 | no | — |
| 44 | #1676 | C22 | 1 | 1 | yes | characteristic |
| 45 | #1674 | C22 | 1 | 1 | yes | characteristic |
| 46 | #1674 | C22 | 1 | 1 | yes | characteristic |
| 47 | #1674 | C22 | 1 | 1 | yes | characteristic |
| 48 | #1670 | — | 2 | 1 | no | — |
| 49 | #1648 | — | 2 | 1 | no | — |
| 50 | #1648 | — | 2 | 1 | no | — |
| 51 | #1645 | — | 2 | 1 | no | — |
| 52 | #1636 | — | 2 | 1 | no | — |
| 53 | C8×Q16 | C22 | 1 | 1 | yes | characteristic |
| 54 | C8×Q16 | C22 | 1 | 1 | yes | characteristic |
| 55 | C8×Q16 | C22 | 1 | 1 | yes | characteristic |
| 56 | #1372 | C22 | 1 | 1 | yes | characteristic |
| 57 | #1370 | C22 | 1 | 1 | yes | characteristic |
| 58 | #1365 | C22 | 1 | 1 | yes | characteristic |
| 59 | #1364 | C22 | 1 | 1 | yes | characteristic |
| 60 | #1364 | C22 | 1 | 1 | yes | characteristic |
| 61 | #1364 | C22 | 1 | 1 | yes | characteristic |
| 62 | Q8⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 63 | Q8⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 64 | #1332 | C22 | 1 | 1 | yes | characteristic |
| 65 | #1332 | C22 | 1 | 1 | yes | characteristic |
| 66 | #1311 | C22 | 1 | 1 | yes | characteristic |
| 67 | Q82 | — | 2 | 1 | no | — |
| 68 | #557 | — | 2 | 1 | no | — |
| 69 | #557 | — | 2 | 1 | no | — |
| 70 | #557 | — | 2 | 1 | no | — |
| 71 | C2×Q32 | D4 | 1 | 1 | yes | characteristic |
| 72 | #500 | — | 2 | 1 | no | — |
| 73 | #500 | — | 2 | 1 | no | — |
| 74 | #500 | C23 | 1 | 1 | yes | characteristic |
| 75 | #500 | C23 | 1 | 1 | yes | characteristic |
| 76 | #500 | C23 | 1 | 1 | yes | characteristic |
| 77 | #500 | C23 | 1 | 1 | yes | characteristic |
| 78 | #499 | — | 2 | 1 | no | — |
| 79 | #499 | — | 2 | 1 | no | — |
| 80 | #499 | — | 2 | 1 | no | — |
| 81 | #494 | — | 2 | 1 | no | — |
| 82 | #494 | — | 4 | 1 | no | — |
| 83 | #487 | — | 2 | 1 | no | — |
| 84 | #487 | — | 2 | 1 | no | — |
| 85 | #487 | — | 4 | 1 | no | — |
| 86 | #479 | — | 4 | 1 | no | — |
| 87 | #479 | — | 4 | 1 | no | — |
| 88 | #479 | — | 4 | 1 | no | — |
| 89 | #477 | — | 2 | 1 | no | — |
| 90 | #477 | — | 2 | 1 | no | — |
| 91 | #477 | — | 4 | 1 | no | — |
| 92 | #477 | — | 4 | 1 | no | — |
| 93 | #475 | — | 2 | 1 | no | — |
| 94 | #475 | — | 2 | 1 | no | — |
| 95 | #475 | — | 2 | 1 | no | — |
| 96 | #462 | — | 2 | 1 | no | — |
| 97 | #462 | — | 2 | 1 | no | — |
| 98 | #462 | — | 2 | 1 | no | — |
| 99 | #462 | — | 4 | 1 | no | — |
| 100 | #462 | — | 4 | 1 | no | — |
| 101 | #462 | — | 4 | 1 | no | — |
| 102 | C8×Q8 | — | 2 | 1 | no | — |
| 103 | C8×Q8 | — | 2 | 1 | no | — |
| 104 | C8×Q8 | C23 | 1 | 1 | yes | characteristic |
| 105 | C8×Q8 | C23 | 1 | 1 | yes | characteristic |
| 106 | C4×Q16 | — | 2 | 1 | no | — |
| 107 | C4×Q16 | — | 2 | 1 | no | — |
| 108 | C4×Q16 | — | 2 | 1 | no | — |
| 109 | C4×Q16 | — | 2 | 1 | no | — |
| 110 | C4×Q16 | — | 4 | 1 | no | — |
| 111 | C4×Q16 | — | 4 | 1 | no | — |
| 112 | C4×Q16 | D4 | 1 | 1 | yes | characteristic |
| 113 | C4×Q16 | C23 | 1 | 1 | yes | characteristic |
| 114 | C4×Q16 | C23 | 1 | 1 | yes | characteristic |
| 115 | #367 | — | 2 | 1 | no | — |
| 116 | #367 | — | 2 | 1 | no | — |
| 117 | #367 | — | 2 | 1 | no | — |
| 118 | #367 | — | 2 | 1 | no | — |
| 119 | #367 | — | 2 | 1 | no | — |
| 120 | #367 | — | 4 | 1 | no | — |
| 121 | #366 | — | 2 | 1 | no | — |
| 122 | #366 | — | 2 | 1 | no | — |
| 123 | #366 | — | 2 | 1 | no | — |
| 124 | #366 | — | 4 | 1 | no | — |
| 125 | #366 | D4 | 1 | 1 | yes | characteristic |
| 126 | C4⋊C16 | — | 2 | 1 | no | — |
| 127 | C4⋊C16 | — | 2 | 1 | no | — |
| 128 | C4⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 129 | C4⋊C16 | C23 | 1 | 1 | yes | characteristic |
| 130 | #358 | — | 2 | 1 | no | — |
| 131 | #358 | — | 2 | 1 | no | — |
| 132 | #358 | — | 2 | 1 | no | — |
| 133 | #358 | — | 2 | 1 | no | — |
| 134 | #358 | D4 | 1 | 1 | yes | characteristic |
| 135 | #358 | D4 | 1 | 1 | yes | characteristic |
| 136 | #346 | — | 2 | 1 | no | — |
| 137 | C4×C16 | — | 2 | 1 | no | — |
| 138 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 139 | C4×C16 | C23 | 1 | 1 | yes | characteristic |
| 140 | #335 | D4 | 1 | 1 | yes | characteristic |
| 141 | #335 | C23 | 1 | 1 | yes | characteristic |
| 142 | #335 | C23 | 1 | 1 | yes | characteristic |
| 143 | #333 | — | 2 | 1 | no | — |
| 144 | #332 | — | 2 | 1 | no | — |
| 145 | #332 | — | 2 | 1 | no | — |
| 146 | #332 | — | 2 | 1 | no | — |
| 147 | Q8⋊C8 | — | 2 | 1 | no | — |
| 148 | Q8⋊C8 | — | 2 | 1 | no | — |
| 149 | Q8⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 150 | Q8⋊C8 | D4 | 1 | 1 | yes | characteristic |
| 151 | C82 | C23 | 1 | 1 | yes | characteristic |
| 152 | C2×Q16 | — | 4 | 1 | no | — |
| 153 | C2×Q16 | — | 4 | 1 | no | — |
| 154 | C2×Q16 | — | 4 | 1 | no | — |
| 155 | C2×Q16 | — | 4 | 1 | no | — |
| 156 | C2×Q16 | — | 4 | 1 | no | — |
| 157 | C2×Q16 | D8 | 1 | 1 | yes | characteristic |
| 158 | C2×Q16 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | C2×Q16 | C2×D4 | 1 | 1 | yes | characteristic |
| 160 | C4⋊Q8 | — | 2 | 1 | no | — |
| 161 | C4⋊Q8 | — | 2 | 1 | no | — |
| 162 | C4⋊Q8 | — | 2 | 1 | no | — |
| 163 | C4⋊Q8 | — | 2 | 1 | no | — |
| 164 | C4⋊Q8 | — | 4 | 1 | no | — |
| 165 | C4⋊Q8 | — | 4 | 1 | no | — |
| 166 | C4⋊Q8 | — | 4 | 1 | no | — |
| 167 | C4⋊Q8 | — | 4 | 1 | no | — |
| 168 | C4⋊Q8 | — | 4 | 1 | no | — |
| 169 | C4⋊Q8 | — | 8 | 1 | no | — |
| 170 | #125 | — | 4 | 1 | no | — |
| 171 | #125 | — | 4 | 1 | no | — |
| 172 | #125 | — | 4 | 1 | no | — |
| 173 | #125 | — | 8 | 1 | no | — |
| 174 | #125 | — | 8 | 1 | no | — |
| 175 | #125 | — | 8 | 1 | no | — |
| 176 | C4×Q8 | — | 2 | 1 | no | — |
| 177 | C4×Q8 | — | 2 | 1 | no | — |
| 178 | C4×Q8 | — | 4 | 1 | no | — |
| 179 | C4×Q8 | — | 4 | 1 | no | — |
| 180 | C4×Q8 | — | 4 | 1 | no | — |
| 181 | C4×Q8 | — | 4 | 1 | no | — |
| 182 | C4×Q8 | — | 4 | 1 | no | — |
| 183 | C4×Q8 | — | 4 | 1 | no | — |
| 184 | C4×Q8 | — | 4 | 1 | no | — |
| 185 | C4×Q8 | — | 4 | 1 | no | — |
| 186 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 187 | C4×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | Q32 | Q16 | 1 | 4 | yes | complemented |
| 189 | C2×C16 | — | 2 | 1 | no | — |
| 190 | C2×C16 | — | 2 | 1 | no | — |
| 191 | C2×C16 | — | 2 | 1 | no | — |
| 192 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C2×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | #107 | — | 2 | 1 | no | — |
| 195 | #107 | — | 2 | 1 | no | — |
| 196 | #107 | — | 2 | 1 | no | — |
| 197 | #107 | — | 2 | 1 | no | — |
| 198 | #107 | — | 2 | 1 | no | — |
| 199 | #107 | — | 2 | 1 | no | — |
| 200 | #107 | — | 2 | 1 | no | — |
| 201 | #107 | — | 2 | 1 | no | — |
| 202 | #107 | — | 4 | 1 | no | — |
| 203 | #107 | — | 4 | 1 | no | — |
| 204 | #107 | — | 8 | 1 | no | — |
| 205 | #107 | D8 | 1 | 1 | yes | characteristic |
| 206 | #107 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | #107 | C2×D4 | 1 | 1 | yes | characteristic |
| 208 | #106 | — | 4 | 1 | no | — |
| 209 | #106 | — | 4 | 1 | no | — |
| 210 | #106 | — | 4 | 1 | no | — |
| 211 | C4⋊C8 | — | 2 | 1 | no | — |
| 212 | C4⋊C8 | — | 2 | 1 | no | — |
| 213 | C4⋊C8 | — | 2 | 1 | no | — |
| 214 | C4⋊C8 | — | 2 | 1 | no | — |
| 215 | C4⋊C8 | — | 4 | 1 | no | — |
| 216 | C4⋊C8 | — | 4 | 1 | no | — |
| 217 | C4⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C4⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | #103 | — | 2 | 1 | no | — |
| 220 | #103 | — | 2 | 1 | no | — |
| 221 | #103 | — | 4 | 1 | no | — |
| 222 | #103 | — | 4 | 1 | no | — |
| 223 | #103 | — | 4 | 1 | no | — |
| 224 | #103 | — | 4 | 1 | no | — |
| 225 | #103 | — | 4 | 1 | no | — |
| 226 | #103 | — | 4 | 1 | no | — |
| 227 | #103 | — | 4 | 1 | no | — |
| 228 | #103 | — | 4 | 1 | no | — |
| 229 | #103 | — | 4 | 1 | no | — |
| 230 | #103 | — | 4 | 1 | no | — |
| 231 | #103 | — | 8 | 1 | no | — |
| 232 | #103 | D8 | 1 | 1 | yes | characteristic |
| 233 | #103 | D8 | 1 | 1 | yes | characteristic |
| 234 | C4×C8 | — | 2 | 1 | no | — |
| 235 | C4×C8 | — | 2 | 1 | no | — |
| 236 | C4×C8 | — | 4 | 1 | no | — |
| 237 | C4×C8 | — | 4 | 1 | no | — |
| 238 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 241 | C2×Q8 | — | 2 | 1 | no | — |
| 242 | C2×Q8 | — | 2 | 1 | no | — |
| 243 | C2×Q8 | — | 4 | 1 | no | — |
| 244 | C2×Q8 | — | 4 | 1 | no | — |
| 245 | C2×Q8 | — | 4 | 1 | no | — |
| 246 | C2×Q8 | — | 4 | 1 | no | — |
| 247 | C2×Q8 | — | 8 | 1 | no | — |
| 248 | C2×Q8 | C2×D8 | 1 | 1 | yes | characteristic |
| 249 | C2×Q8 | C2×D8 | 1 | 1 | yes | characteristic |
| 250 | Q16 | — | 2 | 1 | no | — |
| 251 | Q16 | — | 2 | 1 | no | — |
| 252 | Q16 | — | 4 | 1 | no | — |
| 253 | Q16 | — | 8 | 2 | no | — |
| 254 | Q16 | — | 8 | 2 | no | — |
| 255 | Q16 | — | 16 | 1 | no | — |
| 256 | Q16 | — | 16 | 1 | no | — |
| 257 | Q16 | — | 16 | 1 | no | — |
| 258 | Q16 | C2×Q16 | 1 | 2 | yes | — |
| 259 | Q16 | C2×Q16 | 1 | 2 | yes | — |
| 260 | C2×C8 | — | 2 | 1 | no | — |
| 261 | C2×C8 | — | 2 | 1 | no | — |
| 262 | C2×C8 | — | 2 | 1 | no | — |
| 263 | C2×C8 | — | 4 | 1 | no | — |
| 264 | C2×C8 | — | 4 | 1 | no | — |
| 265 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 266 | C2×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 267 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 268 | C2×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 269 | C4⋊C4 | — | 2 | 1 | no | — |
| 270 | C4⋊C4 | — | 2 | 1 | no | — |
| 271 | C4⋊C4 | — | 2 | 1 | no | — |
| 272 | C4⋊C4 | — | 2 | 1 | no | — |
| 273 | C4⋊C4 | — | 4 | 1 | no | — |
| 274 | C4⋊C4 | — | 4 | 1 | no | — |
| 275 | C4⋊C4 | — | 4 | 1 | no | — |
| 276 | C4⋊C4 | — | 4 | 1 | no | — |
| 277 | C4⋊C4 | — | 4 | 1 | no | — |
| 278 | C4⋊C4 | — | 4 | 1 | no | — |
| 279 | C4⋊C4 | — | 4 | 1 | no | — |
| 280 | C4⋊C4 | — | 4 | 1 | no | — |
| 281 | C4⋊C4 | — | 4 | 1 | no | — |
| 282 | C4⋊C4 | — | 4 | 1 | no | — |
| 283 | C4⋊C4 | — | 8 | 1 | no | — |
| 284 | C4⋊C4 | — | 8 | 1 | no | — |
| 285 | C4⋊C4 | — | 8 | 1 | no | — |
| 286 | C4⋊C4 | — | 8 | 1 | no | — |
| 287 | C4⋊C4 | — | 8 | 1 | no | — |
| 288 | C4⋊C4 | — | 8 | 1 | no | — |
| 289 | C4⋊C4 | — | 8 | 1 | no | — |
| 290 | C4⋊C4 | — | 8 | 1 | no | — |
| 291 | C4⋊C4 | — | 8 | 1 | no | — |
| 292 | C4⋊C4 | — | 8 | 1 | no | — |
| 293 | C4⋊C4 | — | 8 | 1 | no | — |
| 294 | C4⋊C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 295 | C4⋊C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 296 | C42 | — | 2 | 1 | no | — |
| 297 | C42 | — | 2 | 1 | no | — |
| 298 | C42 | — | 4 | 1 | no | — |
| 299 | C42 | — | 4 | 1 | no | — |
| 300 | C42 | — | 8 | 1 | no | — |
| 301 | C42 | — | 8 | 1 | no | — |
| 302 | C42 | — | 8 | 1 | no | — |
| 303 | C42 | — | 8 | 1 | no | — |
| 304 | C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 305 | C16 | — | 2 | 2 | no | — |
| 306 | C16 | — | 2 | 1 | no | — |
| 307 | C16 | — | 4 | 1 | no | — |
| 308 | C16 | — | 4 | 1 | no | — |
| 309 | C16 | C2×Q16 | 1 | 2 | yes | — |
| 310 | Q8 | — | 2 | 1 | no | — |
| 311 | Q8 | — | 2 | 1 | no | — |
| 312 | Q8 | — | 2 | 1 | no | — |
| 313 | Q8 | — | 2 | 1 | no | — |
| 314 | Q8 | — | 2 | 2 | no | — |
| 315 | Q8 | — | 2 | 2 | no | — |
| 316 | Q8 | — | 4 | 1 | no | — |
| 317 | Q8 | — | 4 | 1 | no | — |
| 318 | Q8 | — | 8 | 1 | no | — |
| 319 | Q8 | — | 8 | 1 | no | — |
| 320 | Q8 | — | 8 | 1 | no | — |
| 321 | Q8 | — | 8 | 1 | no | — |
| 322 | Q8 | — | 8 | 1 | no | — |
| 323 | Q8 | — | 8 | 1 | no | — |
| 324 | Q8 | — | 16 | 1 | no | — |
| 325 | Q8 | — | 32 | 1 | no | — |
| 326 | C2×C4 | — | 2 | 1 | no | — |
| 327 | C2×C4 | — | 2 | 1 | no | — |
| 328 | C2×C4 | — | 2 | 1 | no | — |
| 329 | C2×C4 | — | 2 | 1 | no | — |
| 330 | C2×C4 | — | 4 | 1 | no | — |
| 331 | C2×C4 | — | 4 | 1 | no | — |
| 332 | C2×C4 | — | 4 | 1 | no | — |
| 333 | C2×C4 | — | 4 | 1 | no | — |
| 334 | C2×C4 | — | 8 | 1 | no | — |
| 335 | C2×C4 | — | 8 | 1 | no | — |
| 336 | C2×C4 | — | 8 | 1 | no | — |
| 337 | C2×C4 | — | 8 | 1 | no | — |
| 338 | C2×C4 | D42 | 1 | 1 | yes | characteristic |
| 339 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 340 | C2×C4 | #576 | 1 | 1 | yes | characteristic |
| 341 | C8 | — | 2 | 1 | no | — |
| 342 | C8 | — | 2 | 1 | no | — |
| 343 | C8 | — | 2 | 1 | no | — |
| 344 | C8 | — | 4 | 1 | no | — |
| 345 | C8 | — | 4 | 1 | no | — |
| 346 | C8 | — | 4 | 1 | no | — |
| 347 | C8 | — | 8 | 1 | no | — |
| 348 | C8 | — | 8 | 1 | no | — |
| 349 | C8 | C22×Q16 | 1 | 1 | yes | characteristic |
| 350 | C8 | #578 | 1 | 1 | yes | characteristic |
| 351 | C22 | D4×D8 | 1 | 1 | yes | characteristic |
| 352 | C4 | — | 2 | 1 | no | — |
| 353 | C4 | — | 4 | 2 | no | — |
| 354 | C4 | — | 4 | 2 | no | — |
| 355 | C4 | — | 4 | 1 | no | — |
| 356 | C4 | — | 4 | 1 | no | — |
| 357 | C4 | — | 4 | 1 | no | — |
| 358 | C4 | — | 4 | 1 | no | — |
| 359 | C4 | — | 8 | 1 | no | — |
| 360 | C4 | — | 8 | 1 | no | — |
| 361 | C4 | — | 16 | 1 | no | — |
| 362 | C4 | — | 16 | 1 | no | — |
| 363 | C4 | — | 16 | 1 | no | — |
| 364 | C4 | — | 16 | 1 | no | — |
| 365 | C4 | D4×Q16 | 1 | 1 | yes | characteristic |
| 366 | C4 | #3293 | 1 | 1 | yes | characteristic |
| 367 | C4 | #3414 | 1 | 1 | yes | characteristic |
| 368 | C4 | #3416 | 1 | 1 | yes | characteristic |
| 369 | C2 | D8×Q16 | 1 | 1 | yes | characteristic |
| 370 | C2 | #33837 | 1 | 1 | yes | characteristic |
| 371 | C2 | #33855 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|
| 188. Q32 | Q16 | semidirect |
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta