← #130016
Subgroups — #130016
Order 512.
577 conjugacy classes of subgroups.
The subgroup lattice has 363 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #60667 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #12787 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #11942 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11940 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#1365 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #11934 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #8605 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #3503 | — | 2 | 1 | no | — |
| 9 | #3165 | — | 2 | 2 | no | — |
| 10 | #3165 | — | 2 | 1 | no | — |
| 11 | #3164 | — | 2 | 2 | no | — |
| 12 | #3164 | — | 2 | 2 | no | — |
| 13 | #3164 | — | 2 | 1 | no | — |
| 14 | #3164 | C4 | 1 | 2 | yes | — |
| 15 | #3160 | — | 2 | 1 | no | — |
| 16 | #3160 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#500 | — | 2 | 1 | no | — |
| 18 | C2×#500 | C22 | 1 | 1 | yes | characteristic |
| 19 | #2913 | — | 2 | 1 | no | — |
| 20 | #2913 | C4 | 1 | 2 | yes | — |
| 21 | C4×#131 | C22 | 1 | 1 | yes | characteristic |
| 22 | #2150 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×C4⋊C16 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#350 | — | 2 | 1 | no | — |
| 25 | #1564 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#335 | C22 | 1 | 1 | yes | characteristic |
| 27 | #1477 | — | 2 | 1 | no | — |
| 28 | #1379 | — | 2 | 1 | no | — |
| 29 | #1365 | — | 2 | 2 | no | — |
| 30 | #1365 | — | 2 | 1 | no | — |
| 31 | #1364 | — | 2 | 2 | no | — |
| 32 | #1364 | — | 2 | 1 | no | — |
| 33 | #1363 | — | 2 | 2 | no | — |
| 34 | #1283 | — | 2 | 1 | no | — |
| 35 | C2×#131 | C2×C4 | 1 | 1 | yes | characteristic |
| 36 | C2×#131 | D4 | 1 | 1 | yes | characteristic |
| 37 | Q82 | — | 4 | 1 | no | — |
| 38 | #557 | — | 4 | 1 | no | — |
| 39 | #554 | — | 4 | 2 | no | — |
| 40 | #554 | — | 4 | 1 | no | — |
| 41 | D4×Q8 | — | 4 | 2 | no | — |
| 42 | D4×Q8 | — | 4 | 1 | no | — |
| 43 | #544 | — | 2 | 4 | no | — |
| 44 | #544 | — | 2 | 2 | no | — |
| 45 | #533 | — | 2 | 2 | no | — |
| 46 | #533 | — | 2 | 1 | no | — |
| 47 | C2×C4⋊Q8 | — | 2 | 2 | no | — |
| 48 | C2×C4⋊Q8 | — | 2 | 1 | no | — |
| 49 | #520 | — | 2 | 2 | no | — |
| 50 | C4×#41 | D4 | 1 | 1 | yes | characteristic |
| 51 | C2×M32 | — | 2 | 1 | no | — |
| 52 | C22×C16 | — | 2 | 1 | no | — |
| 53 | #501 | — | 2 | 4 | no | — |
| 54 | #501 | — | 2 | 4 | no | — |
| 55 | #501 | — | 2 | 4 | no | — |
| 56 | #500 | — | 2 | 2 | no | — |
| 57 | #500 | — | 2 | 2 | no | — |
| 58 | #500 | — | 2 | 2 | no | — |
| 59 | #500 | — | 2 | 1 | no | — |
| 60 | #500 | — | 2 | 1 | no | — |
| 61 | #500 | D4 | 1 | 2 | yes | — |
| 62 | #500 | D4 | 1 | 1 | yes | characteristic |
| 63 | #500 | D4 | 1 | 1 | yes | characteristic |
| 64 | #500 | D4 | 1 | 2 | yes | — |
| 65 | #499 | — | 2 | 2 | no | — |
| 66 | #499 | — | 2 | 2 | no | — |
| 67 | #499 | — | 2 | 1 | no | — |
| 68 | #499 | D4 | 1 | 2 | yes | — |
| 69 | #498 | — | 2 | 2 | no | — |
| 70 | #498 | — | 2 | 1 | no | — |
| 71 | #431 | — | 2 | 1 | no | — |
| 72 | #428 | — | 2 | 4 | no | — |
| 73 | #428 | — | 2 | 2 | no | — |
| 74 | #428 | — | 2 | 2 | no | — |
| 75 | #428 | — | 2 | 4 | no | — |
| 76 | #427 | — | 2 | 2 | no | — |
| 77 | #427 | — | 2 | 1 | no | — |
| 78 | #427 | — | 2 | 2 | no | — |
| 79 | #427 | C2×C4 | 1 | 2 | yes | — |
| 80 | C2×#107 | — | 2 | 2 | no | — |
| 81 | C2×#107 | — | 2 | 1 | no | — |
| 82 | C2×#107 | — | 2 | 2 | no | — |
| 83 | C2×#107 | C2×C4 | 1 | 2 | yes | — |
| 84 | C2×C4⋊C8 | — | 2 | 1 | no | — |
| 85 | #405 | — | 2 | 1 | no | — |
| 86 | #405 | — | 2 | 1 | no | — |
| 87 | #405 | C2×C4 | 1 | 1 | yes | characteristic |
| 88 | #405 | D4 | 1 | 1 | yes | characteristic |
| 89 | C4×M16 | — | 2 | 1 | no | — |
| 90 | C4×M16 | D4 | 1 | 1 | yes | characteristic |
| 91 | C2×C4×C8 | — | 2 | 1 | no | — |
| 92 | C2×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 93 | C4⋊C16 | — | 2 | 1 | no | — |
| 94 | C4⋊C16 | — | 2 | 1 | no | — |
| 95 | C4⋊C16 | — | 2 | 1 | no | — |
| 96 | C4⋊C16 | — | 2 | 1 | no | — |
| 97 | #350 | — | 4 | 2 | no | — |
| 98 | #335 | — | 2 | 1 | no | — |
| 99 | #335 | — | 2 | 1 | no | — |
| 100 | #335 | — | 2 | 1 | no | — |
| 101 | #334 | — | 2 | 1 | no | — |
| 102 | Q8⋊C8 | — | 4 | 1 | no | — |
| 103 | D4⋊C8 | — | 4 | 1 | no | — |
| 104 | C2×#41 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 105 | C22×Q8 | — | 4 | 2 | no | — |
| 106 | C22×Q8 | — | 4 | 1 | no | — |
| 107 | #131 | — | 2 | 2 | no | — |
| 108 | #131 | — | 2 | 2 | no | — |
| 109 | #131 | — | 2 | 1 | no | — |
| 110 | #131 | — | 2 | 1 | no | — |
| 111 | #131 | SD16 | 1 | 2 | yes | — |
| 112 | #131 | Q16 | 1 | 2 | yes | — |
| 113 | C2×M16 | — | 2 | 1 | no | — |
| 114 | C2×M16 | — | 2 | 1 | no | — |
| 115 | C2×M16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 116 | C2×M16 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 117 | C22×C8 | — | 2 | 1 | no | — |
| 118 | C22×C8 | — | 2 | 1 | no | — |
| 119 | C22×C8 | — | 4 | 1 | no | — |
| 120 | C22×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 121 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 122 | C4⋊Q8 | — | 2 | 4 | no | — |
| 123 | C4⋊Q8 | — | 2 | 1 | no | — |
| 124 | C4⋊Q8 | — | 2 | 2 | no | — |
| 125 | C4⋊Q8 | — | 2 | 2 | no | — |
| 126 | C4⋊Q8 | — | 2 | 1 | no | — |
| 127 | C4⋊Q8 | — | 4 | 2 | no | — |
| 128 | C4⋊Q8 | — | 4 | 2 | no | — |
| 129 | C4⋊Q8 | — | 4 | 4 | no | — |
| 130 | C4⋊Q8 | — | 4 | 2 | no | — |
| 131 | C4⋊Q8 | — | 4 | 1 | no | — |
| 132 | C4⋊Q8 | — | 4 | 1 | no | — |
| 133 | #125 | — | 2 | 4 | no | — |
| 134 | #125 | — | 2 | 2 | no | — |
| 135 | #125 | — | 4 | 4 | no | — |
| 136 | #125 | — | 4 | 2 | no | — |
| 137 | C22⋊Q8 | — | 4 | 4 | no | — |
| 138 | C22⋊Q8 | — | 4 | 4 | no | — |
| 139 | C22⋊Q8 | — | 4 | 4 | no | — |
| 140 | C22⋊Q8 | — | 4 | 2 | no | — |
| 141 | C22⋊Q8 | — | 4 | 2 | no | — |
| 142 | C22⋊Q8 | — | 4 | 1 | no | — |
| 143 | C22⋊Q8 | — | 4 | 1 | no | — |
| 144 | C4×Q8 | — | 4 | 2 | no | — |
| 145 | C4×Q8 | — | 4 | 2 | no | — |
| 146 | C4×Q8 | — | 4 | 2 | no | — |
| 147 | C4×Q8 | — | 4 | 1 | no | — |
| 148 | C4×Q8 | — | 4 | 1 | no | — |
| 149 | C4×Q8 | D8 | 1 | 1 | yes | characteristic |
| 150 | C4×Q8 | SD16 | 1 | 1 | yes | characteristic |
| 151 | C4×D4 | — | 2 | 1 | no | — |
| 152 | C4×D4 | — | 2 | 1 | no | — |
| 153 | C4×D4 | — | 4 | 4 | no | — |
| 154 | C4×D4 | — | 4 | 2 | no | — |
| 155 | C4×D4 | D8 | 1 | 1 | yes | characteristic |
| 156 | C4×D4 | SD16 | 1 | 1 | yes | characteristic |
| 157 | #117 | — | 2 | 1 | no | — |
| 158 | #117 | — | 2 | 4 | no | — |
| 159 | #117 | — | 2 | 2 | no | — |
| 160 | #117 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 161 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 162 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 163 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 164 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 165 | C2×C42 | — | 2 | 1 | no | — |
| 166 | C2×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 167 | M32 | — | 4 | 1 | no | — |
| 168 | M32 | — | 4 | 1 | no | — |
| 169 | C2×C16 | — | 4 | 1 | no | — |
| 170 | C2×C16 | — | 4 | 1 | no | — |
| 171 | C2×C16 | — | 4 | 1 | no | — |
| 172 | C2×C16 | — | 4 | 1 | no | — |
| 173 | #107 | — | 2 | 4 | no | — |
| 174 | #107 | — | 2 | 4 | no | — |
| 175 | #107 | — | 2 | 2 | no | — |
| 176 | #107 | — | 2 | 1 | no | — |
| 177 | #107 | — | 2 | 2 | no | — |
| 178 | #107 | — | 2 | 2 | no | — |
| 179 | #107 | — | 2 | 1 | no | — |
| 180 | #107 | C22⋊C4 | 1 | 2 | yes | — |
| 181 | #107 | C22⋊C4 | 1 | 4 | yes | — |
| 182 | #107 | C22⋊C4 | 1 | 2 | yes | — |
| 183 | #106 | — | 2 | 4 | no | — |
| 184 | #106 | — | 2 | 4 | no | — |
| 185 | #106 | — | 2 | 2 | no | — |
| 186 | #106 | — | 2 | 2 | no | — |
| 187 | C4⋊C8 | — | 4 | 1 | no | — |
| 188 | C4⋊C8 | — | 4 | 1 | no | — |
| 189 | C4⋊C8 | — | 4 | 1 | no | — |
| 190 | C22⋊C8 | — | 4 | 1 | no | — |
| 191 | #97 | — | 2 | 1 | no | — |
| 192 | #97 | — | 2 | 1 | no | — |
| 193 | #97 | — | 2 | 1 | no | — |
| 194 | C4×C8 | — | 2 | 1 | no | — |
| 195 | C4×C8 | — | 2 | 1 | no | — |
| 196 | C4×C8 | — | 2 | 1 | no | — |
| 197 | C4×C8 | — | 4 | 1 | no | — |
| 198 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | #41 | — | 2 | 1 | no | — |
| 203 | #41 | — | 2 | 1 | no | — |
| 204 | #41 | #101 | 1 | 2 | yes | — |
| 205 | #41 | #103 | 1 | 2 | yes | — |
| 206 | C2×Q8 | — | 4 | 4 | no | — |
| 207 | C2×Q8 | — | 4 | 1 | no | — |
| 208 | C2×Q8 | — | 4 | 2 | no | — |
| 209 | C2×Q8 | — | 4 | 2 | no | — |
| 210 | C2×Q8 | — | 4 | 1 | no | — |
| 211 | C2×Q8 | — | 16 | 2 | no | — |
| 212 | C2×Q8 | — | 16 | 4 | no | — |
| 213 | C2×Q8 | #102 | 1 | 1 | yes | characteristic |
| 214 | C2×D4 | — | 2 | 1 | no | — |
| 215 | C2×D4 | #102 | 1 | 1 | yes | characteristic |
| 216 | C22×C4 | — | 2 | 1 | no | — |
| 217 | C22×C4 | — | 2 | 1 | no | — |
| 218 | C22×C4 | — | 2 | 1 | no | — |
| 219 | C22×C4 | — | 4 | 4 | no | — |
| 220 | C22×C4 | — | 4 | 2 | no | — |
| 221 | C22×C4 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 222 | C22×C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 223 | C22×C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 224 | M16 | — | 2 | 4 | no | — |
| 225 | M16 | — | 2 | 1 | no | — |
| 226 | M16 | — | 2 | 1 | no | — |
| 227 | M16 | — | 2 | 2 | no | — |
| 228 | M16 | — | 2 | 2 | no | — |
| 229 | M16 | #101 | 1 | 2 | yes | — |
| 230 | M16 | #103 | 1 | 2 | yes | — |
| 231 | C2×C8 | — | 2 | 4 | no | — |
| 232 | C2×C8 | — | 2 | 1 | no | — |
| 233 | C2×C8 | — | 2 | 1 | no | — |
| 234 | C2×C8 | — | 2 | 1 | no | — |
| 235 | C2×C8 | — | 2 | 1 | no | — |
| 236 | C2×C8 | — | 2 | 2 | no | — |
| 237 | C2×C8 | — | 2 | 2 | no | — |
| 238 | C2×C8 | — | 8 | 1 | no | — |
| 239 | C2×C8 | — | 8 | 1 | no | — |
| 240 | C2×C8 | — | 16 | 1 | no | — |
| 241 | C2×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 242 | C2×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 243 | C2×C8 | #120 | 1 | 1 | yes | characteristic |
| 244 | C2×C8 | #120 | 1 | 1 | yes | characteristic |
| 245 | C2×C8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 246 | C2×C8 | C2×Q16 | 1 | 1 | yes | characteristic |
| 247 | C2×C8 | #137 | 1 | 1 | yes | characteristic |
| 248 | C2×C8 | #137 | 1 | 1 | yes | characteristic |
| 249 | C4⋊C4 | — | 2 | 1 | no | — |
| 250 | C4⋊C4 | — | 2 | 1 | no | — |
| 251 | C4⋊C4 | — | 2 | 2 | no | — |
| 252 | C4⋊C4 | — | 2 | 4 | no | — |
| 253 | C4⋊C4 | — | 2 | 2 | no | — |
| 254 | C4⋊C4 | — | 4 | 4 | no | — |
| 255 | C4⋊C4 | — | 4 | 4 | no | — |
| 256 | C4⋊C4 | — | 4 | 4 | no | — |
| 257 | C4⋊C4 | — | 4 | 4 | no | — |
| 258 | C4⋊C4 | — | 4 | 2 | no | — |
| 259 | C4⋊C4 | — | 4 | 1 | no | — |
| 260 | C4⋊C4 | — | 4 | 2 | no | — |
| 261 | C4⋊C4 | — | 4 | 2 | no | — |
| 262 | C4⋊C4 | — | 4 | 2 | no | — |
| 263 | C4⋊C4 | — | 4 | 1 | no | — |
| 264 | C4⋊C4 | — | 4 | 2 | no | — |
| 265 | C4⋊C4 | #102 | 1 | 1 | yes | characteristic |
| 266 | C4⋊C4 | #102 | 1 | 1 | yes | characteristic |
| 267 | C22⋊C4 | — | 2 | 1 | no | — |
| 268 | C22⋊C4 | — | 2 | 1 | no | — |
| 269 | C22⋊C4 | — | 2 | 1 | no | — |
| 270 | C22⋊C4 | — | 4 | 4 | no | — |
| 271 | C22⋊C4 | — | 4 | 2 | no | — |
| 272 | C42 | — | 2 | 1 | no | — |
| 273 | C42 | — | 2 | 1 | no | — |
| 274 | C42 | — | 2 | 1 | no | — |
| 275 | C42 | — | 4 | 4 | no | — |
| 276 | C42 | — | 4 | 2 | no | — |
| 277 | C42 | #120 | 1 | 1 | yes | characteristic |
| 278 | C42 | #120 | 1 | 1 | yes | characteristic |
| 279 | C42 | C2×D8 | 1 | 1 | yes | characteristic |
| 280 | C42 | C2×SD16 | 1 | 1 | yes | characteristic |
| 281 | C16 | — | 8 | 1 | no | — |
| 282 | C16 | — | 8 | 1 | no | — |
| 283 | C23 | — | 2 | 1 | no | — |
| 284 | C23 | #418 | 1 | 1 | yes | characteristic |
| 285 | Q8 | — | 2 | 1 | no | — |
| 286 | Q8 | — | 8 | 4 | no | — |
| 287 | Q8 | — | 8 | 2 | no | — |
| 288 | Q8 | — | 8 | 1 | no | — |
| 289 | Q8 | — | 8 | 1 | no | — |
| 290 | Q8 | — | 16 | 2 | no | — |
| 291 | Q8 | — | 16 | 4 | no | — |
| 292 | Q8 | #332 | 1 | 2 | yes | — |
| 293 | D4 | — | 2 | 2 | no | — |
| 294 | D4 | — | 2 | 2 | no | — |
| 295 | D4 | — | 2 | 1 | no | — |
| 296 | D4 | #332 | 1 | 2 | yes | — |
| 297 | C2×C4 | — | 2 | 1 | no | — |
| 298 | C2×C4 | — | 2 | 1 | no | — |
| 299 | C2×C4 | — | 2 | 1 | no | — |
| 300 | C2×C4 | — | 2 | 2 | no | — |
| 301 | C2×C4 | — | 2 | 2 | no | — |
| 302 | C2×C4 | — | 2 | 1 | no | — |
| 303 | C2×C4 | — | 2 | 1 | no | — |
| 304 | C2×C4 | — | 4 | 1 | no | — |
| 305 | C2×C4 | — | 4 | 2 | no | — |
| 306 | C2×C4 | — | 4 | 1 | no | — |
| 307 | C2×C4 | — | 4 | 1 | no | — |
| 308 | C2×C4 | — | 4 | 2 | no | — |
| 309 | C2×C4 | — | 4 | 4 | no | — |
| 310 | C2×C4 | — | 4 | 2 | no | — |
| 311 | C2×C4 | — | 16 | 2 | no | — |
| 312 | C2×C4 | — | 16 | 4 | no | — |
| 313 | C2×C4 | #379 | 1 | 1 | yes | characteristic |
| 314 | C2×C4 | C2×#101 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | C2×#101 | 1 | 1 | yes | characteristic |
| 316 | C2×C4 | C2×#102 | 1 | 1 | yes | characteristic |
| 317 | C2×C4 | C2×#103 | 1 | 1 | yes | characteristic |
| 318 | C2×C4 | #419 | 1 | 1 | yes | characteristic |
| 319 | C2×C4 | #447 | 1 | 1 | yes | characteristic |
| 320 | C2×C4 | #447 | 1 | 1 | yes | characteristic |
| 321 | C2×C4 | #450 | 1 | 1 | yes | characteristic |
| 322 | C2×C4 | #450 | 1 | 1 | yes | characteristic |
| 323 | C8 | — | 2 | 1 | no | — |
| 324 | C8 | — | 2 | 2 | no | — |
| 325 | C8 | — | 2 | 1 | no | — |
| 326 | C8 | — | 2 | 2 | no | — |
| 327 | C8 | — | 16 | 1 | no | — |
| 328 | C8 | — | 16 | 1 | no | — |
| 329 | C8 | #448 | 1 | 1 | yes | characteristic |
| 330 | C8 | #448 | 1 | 1 | yes | characteristic |
| 331 | C8 | #451 | 1 | 1 | yes | characteristic |
| 332 | C8 | #451 | 1 | 1 | yes | characteristic |
| 333 | C22 | — | 2 | 1 | no | — |
| 334 | C22 | — | 2 | 1 | no | — |
| 335 | C22 | — | 2 | 2 | no | — |
| 336 | C22 | — | 4 | 1 | no | — |
| 337 | C22 | — | 4 | 1 | no | — |
| 338 | C22 | #1549 | 1 | 1 | yes | characteristic |
| 339 | C22 | #1556 | 1 | 1 | yes | characteristic |
| 340 | C22 | #1786 | 1 | 1 | yes | characteristic |
| 341 | C4 | — | 2 | 2 | no | — |
| 342 | C4 | — | 2 | 1 | no | — |
| 343 | C4 | — | 2 | 1 | no | — |
| 344 | C4 | — | 2 | 1 | no | — |
| 345 | C4 | — | 4 | 1 | no | — |
| 346 | C4 | — | 4 | 1 | no | — |
| 347 | C4 | — | 8 | 2 | no | — |
| 348 | C4 | — | 8 | 4 | no | — |
| 349 | C4 | — | 8 | 2 | no | — |
| 350 | C4 | C2×#332 | 1 | 1 | yes | characteristic |
| 351 | C4 | #1546 | 1 | 1 | yes | characteristic |
| 352 | C4 | #1784 | 1 | 1 | yes | characteristic |
| 353 | C4 | #1787 | 1 | 1 | yes | characteristic |
| 354 | C4 | #2193 | 1 | 1 | yes | characteristic |
| 355 | C4 | #2195 | 1 | 1 | yes | characteristic |
| 356 | C2 | — | 2 | 1 | no | — |
| 357 | C2 | — | 2 | 1 | no | — |
| 358 | C2 | — | 4 | 2 | no | — |
| 359 | C2 | #8340 | 1 | 1 | yes | characteristic |
| 360 | C2 | #12749 | 1 | 1 | yes | characteristic |
| 361 | C2 | #12750 | 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