← #11898339
Subgroups — #11898339
Order 1152.
540 conjugacy classes of subgroups.
The subgroup lattice has 345 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10589773 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C9×#495 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #10588863 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | Q16×Dic9 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10588846 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10588842 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #10588835 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | D8×Dic9 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #10588736 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C4×Dic36 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C8×Dic18 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #81813 | — | 3 | 1 | no | maximal |
| 13 | C2×C9×Q16 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×C9×SD16 | C22 | 1 | 2 | yes | — |
| 15 | C2×C9×D8 | C22 | 1 | 1 | yes | characteristic |
| 16 | C9×#124 | C22 | 1 | 2 | yes | — |
| 17 | Q8×Dic9 | C22 | 1 | 2 | yes | — |
| 18 | #63506 | C22 | 1 | 2 | yes | — |
| 19 | C2×#3674 | C22 | 1 | 2 | yes | — |
| 20 | #63498 | C22 | 1 | 2 | yes | — |
| 21 | D4×Dic9 | C22 | 1 | 2 | yes | — |
| 22 | C2×#3672 | C22 | 1 | 2 | yes | — |
| 23 | C2×Dic36 | C22 | 1 | 1 | yes | characteristic |
| 24 | #63441 | — | 2 | 2 | no | — |
| 25 | #63441 | — | 2 | 2 | no | — |
| 26 | #63440 | — | 2 | 2 | no | — |
| 27 | #63439 | — | 2 | 2 | no | — |
| 28 | C4×Dic18 | C22 | 1 | 2 | yes | — |
| 29 | C4×Dic18 | C22 | 1 | 1 | yes | characteristic |
| 30 | C4×C8×C9 | C22 | 1 | 1 | yes | characteristic |
| 31 | #63395 | C22 | 1 | 2 | yes | — |
| 32 | #63392 | C22 | 1 | 2 | yes | — |
| 33 | #63378 | C22 | 1 | 1 | yes | characteristic |
| 34 | #63376 | C22 | 1 | 2 | yes | — |
| 35 | Dic9⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 36 | Dic9⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 37 | C8×Dic9 | C22 | 1 | 1 | yes | characteristic |
| 38 | C8×Dic9 | C22 | 1 | 1 | yes | characteristic |
| 39 | C4⋊(C9⋊C8) | C22 | 1 | 1 | yes | characteristic |
| 40 | #5671 | — | 3 | 2 | no | — |
| 41 | C3×#495 | D3 | 1 | 1 | yes | characteristic |
| 42 | #5183 | — | 3 | 1 | no | — |
| 43 | Dic3×Q16 | — | 3 | 1 | no | — |
| 44 | #5166 | — | 3 | 2 | no | — |
| 45 | #5162 | — | 3 | 2 | no | — |
| 46 | #5155 | — | 3 | 1 | no | — |
| 47 | Dic3×D8 | — | 3 | 1 | no | — |
| 48 | #5054 | — | 3 | 2 | no | — |
| 49 | C4×Dic12 | — | 3 | 1 | no | — |
| 50 | C8×Dic6 | — | 3 | 1 | no | — |
| 51 | C2×Q8×C9 | C23 | 1 | 2 | yes | — |
| 52 | C2×D4×C9 | C23 | 1 | 2 | yes | — |
| 53 | C22×Dic9 | — | 2 | 2 | no | — |
| 54 | C2×Dic18 | D4 | 1 | 1 | yes | characteristic |
| 55 | C2×Dic18 | C23 | 1 | 2 | yes | — |
| 56 | C9×Q16 | — | 2 | 2 | no | — |
| 57 | C9×SD16 | — | 4 | 2 | no | — |
| 58 | C9×D8 | — | 2 | 2 | no | — |
| 59 | C2×C8×C9 | C23 | 1 | 1 | yes | characteristic |
| 60 | C2×C8×C9 | C23 | 1 | 1 | yes | characteristic |
| 61 | C9×C22⋊C4 | — | 2 | 2 | no | — |
| 62 | C9×C22⋊C4 | — | 2 | 2 | no | — |
| 63 | C42×C9 | C23 | 1 | 1 | yes | characteristic |
| 64 | #3676 | — | 2 | 2 | no | — |
| 65 | #3676 | — | 2 | 2 | no | — |
| 66 | #3676 | — | 2 | 2 | no | — |
| 67 | #3674 | — | 4 | 2 | no | — |
| 68 | #3672 | — | 4 | 2 | no | — |
| 69 | C4⋊Dic9 | — | 2 | 2 | no | — |
| 70 | C4⋊Dic9 | D4 | 1 | 1 | yes | characteristic |
| 71 | C4⋊Dic9 | C23 | 1 | 2 | yes | — |
| 72 | Dic9⋊C4 | — | 2 | 2 | no | — |
| 73 | Dic9⋊C4 | — | 2 | 2 | no | — |
| 74 | Dic9⋊C4 | — | 2 | 2 | no | — |
| 75 | Dic9⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 76 | Dic9⋊C4 | D4 | 1 | 1 | yes | characteristic |
| 77 | C4×Dic9 | — | 2 | 2 | no | — |
| 78 | C4×Dic9 | — | 2 | 2 | no | — |
| 79 | C4×Dic9 | C23 | 1 | 1 | yes | characteristic |
| 80 | C4×Dic9 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C9⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C9⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 83 | Dic36 | — | 2 | 2 | no | — |
| 84 | #3393 | — | 9 | 1 | no | Sylow |
| 85 | C2×C3×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 86 | C2×C3×SD16 | C2×D3 | 1 | 2 | yes | — |
| 87 | C2×C3×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 88 | C3×#124 | C2×D3 | 1 | 2 | yes | — |
| 89 | Q8×Dic3 | — | 3 | 2 | no | — |
| 90 | #944 | — | 3 | 2 | no | — |
| 91 | C2×#216 | — | 3 | 2 | no | — |
| 92 | #936 | — | 3 | 2 | no | — |
| 93 | D4×Dic3 | — | 3 | 2 | no | — |
| 94 | C2×#214 | — | 3 | 2 | no | — |
| 95 | C2×Dic12 | — | 3 | 1 | no | — |
| 96 | #879 | — | 6 | 2 | no | — |
| 97 | #879 | — | 6 | 2 | no | — |
| 98 | #878 | — | 6 | 2 | no | — |
| 99 | #877 | — | 6 | 2 | no | — |
| 100 | C4×Dic6 | — | 3 | 1 | no | — |
| 101 | C4×Dic6 | — | 3 | 2 | no | — |
| 102 | C3×C4×C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 103 | #835 | — | 3 | 2 | no | — |
| 104 | #832 | — | 3 | 2 | no | — |
| 105 | #818 | — | 3 | 1 | no | — |
| 106 | #816 | — | 3 | 2 | no | — |
| 107 | Dic3⋊C8 | — | 3 | 1 | no | — |
| 108 | Dic3⋊C8 | — | 3 | 1 | no | — |
| 109 | C8×Dic3 | — | 3 | 1 | no | — |
| 110 | C8×Dic3 | — | 3 | 1 | no | — |
| 111 | C4⋊(C3⋊C8) | — | 3 | 1 | no | — |
| 112 | C23×C9 | — | 2 | 2 | no | — |
| 113 | Q8×C9 | — | 2 | 2 | no | — |
| 114 | Q8×C9 | — | 2 | 2 | no | — |
| 115 | D4×C9 | — | 2 | 2 | no | — |
| 116 | D4×C9 | — | 2 | 2 | no | — |
| 117 | C2×C4×C9 | — | 2 | 2 | no | — |
| 118 | C2×C4×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C2×C4×C9 | C2×D4 | 1 | 1 | yes | characteristic |
| 120 | C2×C4×C9 | C24 | 1 | 1 | yes | characteristic |
| 121 | C2×Dic9 | — | 2 | 2 | no | — |
| 122 | C2×Dic9 | — | 2 | 2 | no | — |
| 123 | C2×Dic9 | — | 4 | 4 | no | — |
| 124 | C2×Dic9 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | C2×Dic9 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C2×Dic9 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×Dic9 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | Dic18 | — | 2 | 2 | no | — |
| 129 | Dic18 | — | 2 | 2 | no | — |
| 130 | Dic18 | — | 2 | 2 | no | — |
| 131 | C8×C9 | — | 2 | 1 | no | — |
| 132 | C8×C9 | #41 | 1 | 2 | yes | — |
| 133 | C9⋊C8 | — | 2 | 1 | no | — |
| 134 | C9⋊C8 | — | 2 | 1 | no | — |
| 135 | #556 | — | 9 | 2 | no | — |
| 136 | #495 | — | 9 | 1 | no | — |
| 137 | #495 | D9 | 1 | 1 | yes | characteristic |
| 138 | #494 | — | 9 | 1 | no | — |
| 139 | #464 | — | 9 | 2 | no | — |
| 140 | #464 | — | 9 | 2 | no | — |
| 141 | #461 | — | 9 | 2 | no | — |
| 142 | C8×Q8 | — | 9 | 1 | no | — |
| 143 | C4×Q16 | — | 9 | 1 | no | — |
| 144 | C4×Q16 | — | 9 | 1 | no | — |
| 145 | C4×D8 | — | 9 | 1 | no | — |
| 146 | C2×C3×Q8 | C22×D3 | 1 | 2 | yes | — |
| 147 | C2×C3×D4 | C22×D3 | 1 | 2 | yes | — |
| 148 | C22×Dic3 | — | 6 | 2 | no | — |
| 149 | C2×Dic6 | — | 3 | 1 | no | — |
| 150 | C2×Dic6 | — | 3 | 2 | no | — |
| 151 | C3×Q16 | — | 2 | 2 | no | — |
| 152 | C3×SD16 | — | 4 | 2 | no | — |
| 153 | C3×D8 | — | 2 | 2 | no | — |
| 154 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 155 | C2×C3×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 156 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 157 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 158 | C3×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 159 | #217 | — | 6 | 2 | no | — |
| 160 | #217 | — | 6 | 2 | no | — |
| 161 | #217 | — | 6 | 2 | no | — |
| 162 | #216 | — | 12 | 2 | no | — |
| 163 | #214 | — | 12 | 2 | no | — |
| 164 | C4⋊Dic3 | — | 3 | 1 | no | — |
| 165 | C4⋊Dic3 | — | 3 | 2 | no | — |
| 166 | C4⋊Dic3 | — | 6 | 2 | no | — |
| 167 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 168 | Dic3⋊C4 | — | 3 | 1 | no | — |
| 169 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 170 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 171 | Dic3⋊C4 | — | 6 | 2 | no | — |
| 172 | C4×Dic3 | — | 3 | 1 | no | — |
| 173 | C4×Dic3 | — | 3 | 1 | no | — |
| 174 | C4×Dic3 | — | 6 | 2 | no | — |
| 175 | C4×Dic3 | — | 6 | 2 | no | — |
| 176 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 177 | C2×C3⋊C8 | — | 3 | 1 | no | — |
| 178 | Dic12 | — | 6 | 2 | no | — |
| 179 | C22×C9 | — | 4 | 2 | no | — |
| 180 | C22×C9 | — | 4 | 2 | no | — |
| 181 | C22×C9 | — | 4 | 2 | no | — |
| 182 | C22×C9 | C22×D4 | 1 | 1 | yes | characteristic |
| 183 | C4×C9 | — | 2 | 1 | no | — |
| 184 | C4×C9 | — | 2 | 1 | no | — |
| 185 | C4×C9 | — | 4 | 2 | no | — |
| 186 | C4×C9 | C2×#41 | 1 | 1 | yes | characteristic |
| 187 | C4×C9 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 188 | Dic9 | — | 2 | 1 | no | — |
| 189 | Dic9 | — | 2 | 1 | no | — |
| 190 | Dic9 | — | 2 | 1 | no | — |
| 191 | Dic9 | — | 4 | 2 | no | — |
| 192 | Dic9 | — | 4 | 2 | no | — |
| 193 | Dic9 | #135 | 1 | 2 | yes | — |
| 194 | C2×Q16 | — | 9 | 2 | no | — |
| 195 | C2×Q16 | — | 9 | 1 | no | — |
| 196 | C2×Q16 | C2×D9 | 1 | 1 | yes | characteristic |
| 197 | C2×SD16 | — | 9 | 2 | no | — |
| 198 | C2×SD16 | C2×D9 | 1 | 2 | yes | — |
| 199 | C2×D8 | C2×D9 | 1 | 1 | yes | characteristic |
| 200 | C4⋊Q8 | — | 9 | 2 | no | — |
| 201 | #126 | — | 18 | 2 | no | — |
| 202 | #126 | — | 18 | 2 | no | — |
| 203 | #124 | — | 9 | 2 | no | — |
| 204 | #124 | C2×D9 | 1 | 2 | yes | — |
| 205 | C22⋊Q8 | — | 18 | 2 | no | — |
| 206 | C4×Q8 | — | 9 | 1 | no | — |
| 207 | C4×Q8 | — | 9 | 2 | no | — |
| 208 | C4×Q8 | — | 9 | 2 | no | — |
| 209 | C4×D4 | — | 9 | 2 | no | — |
| 210 | #117 | — | 18 | 2 | no | — |
| 211 | #107 | — | 9 | 1 | no | — |
| 212 | C4⋊C8 | — | 9 | 1 | no | — |
| 213 | C4⋊C8 | — | 9 | 1 | no | — |
| 214 | C4⋊C8 | — | 9 | 1 | no | — |
| 215 | #103 | — | 9 | 2 | no | — |
| 216 | #103 | — | 9 | 2 | no | — |
| 217 | #102 | — | 9 | 2 | no | — |
| 218 | C4×C8 | — | 9 | 1 | no | — |
| 219 | C4×C8 | — | 9 | 1 | no | — |
| 220 | C4×C8 | C2×D9 | 1 | 1 | yes | characteristic |
| 221 | C23×C3 | — | 2 | 2 | no | — |
| 222 | C3×Q8 | — | 2 | 2 | no | — |
| 223 | C3×Q8 | — | 2 | 2 | no | — |
| 224 | C3×D4 | — | 2 | 2 | no | — |
| 225 | C3×D4 | — | 2 | 2 | no | — |
| 226 | C2×C3×C4 | — | 2 | 2 | no | — |
| 227 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 228 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 229 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 230 | C2×Dic3 | — | 3 | 1 | no | — |
| 231 | C2×Dic3 | — | 3 | 1 | no | — |
| 232 | C2×Dic3 | — | 3 | 1 | no | — |
| 233 | C2×Dic3 | — | 3 | 1 | no | — |
| 234 | C2×Dic3 | — | 6 | 2 | no | — |
| 235 | C2×Dic3 | — | 6 | 2 | no | — |
| 236 | C2×Dic3 | — | 12 | 4 | no | — |
| 237 | Dic6 | — | 6 | 2 | no | — |
| 238 | Dic6 | — | 6 | 2 | no | — |
| 239 | Dic6 | — | 6 | 2 | no | — |
| 240 | C3×C8 | — | 2 | 1 | no | — |
| 241 | C3×C8 | #237 | 1 | 2 | yes | — |
| 242 | C3⋊C8 | — | 6 | 1 | no | — |
| 243 | C3⋊C8 | — | 6 | 1 | no | — |
| 244 | C2×C9 | — | 8 | 2 | no | — |
| 245 | C2×C9 | #550 | 1 | 1 | yes | characteristic |
| 246 | C2×C9 | C2×#135 | 1 | 1 | yes | characteristic |
| 247 | C2×C9 | #578 | 1 | 1 | yes | characteristic |
| 248 | C2×Q8 | — | 9 | 1 | no | — |
| 249 | C2×Q8 | — | 9 | 2 | no | — |
| 250 | C2×Q8 | C22×D9 | 1 | 2 | yes | — |
| 251 | C2×D4 | C22×D9 | 1 | 2 | yes | — |
| 252 | C22×C4 | — | 18 | 2 | no | — |
| 253 | Q16 | — | 2 | 2 | no | — |
| 254 | Q16 | — | 18 | 2 | no | — |
| 255 | Q16 | — | 36 | 2 | no | — |
| 256 | SD16 | — | 4 | 2 | no | — |
| 257 | SD16 | — | 36 | 2 | no | — |
| 258 | D8 | — | 2 | 2 | no | — |
| 259 | C2×C8 | — | 9 | 1 | no | — |
| 260 | C2×C8 | — | 9 | 1 | no | — |
| 261 | C2×C8 | C22×D9 | 1 | 1 | yes | characteristic |
| 262 | C2×C8 | C22×D9 | 1 | 1 | yes | characteristic |
| 263 | C4⋊C4 | — | 9 | 1 | no | — |
| 264 | C4⋊C4 | — | 9 | 1 | no | — |
| 265 | C4⋊C4 | — | 9 | 1 | no | — |
| 266 | C4⋊C4 | — | 9 | 2 | no | — |
| 267 | C4⋊C4 | — | 18 | 2 | no | — |
| 268 | C4⋊C4 | — | 18 | 2 | no | — |
| 269 | C4⋊C4 | — | 18 | 2 | no | — |
| 270 | C4⋊C4 | — | 18 | 2 | no | — |
| 271 | C22⋊C4 | — | 2 | 2 | no | — |
| 272 | C22⋊C4 | — | 2 | 2 | no | — |
| 273 | C22⋊C4 | — | 18 | 2 | no | — |
| 274 | C22⋊C4 | — | 18 | 2 | no | — |
| 275 | C22⋊C4 | — | 18 | 2 | no | — |
| 276 | C42 | — | 9 | 1 | no | — |
| 277 | C42 | — | 9 | 1 | no | — |
| 278 | C42 | — | 18 | 2 | no | — |
| 279 | C42 | — | 18 | 2 | no | — |
| 280 | C42 | C22×D9 | 1 | 1 | yes | characteristic |
| 281 | C22×C3 | — | 4 | 2 | no | — |
| 282 | C22×C3 | — | 4 | 2 | no | — |
| 283 | C22×C3 | — | 4 | 2 | no | — |
| 284 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 285 | C3×C4 | — | 2 | 1 | no | — |
| 286 | C3×C4 | — | 2 | 1 | no | — |
| 287 | C3×C4 | — | 4 | 2 | no | — |
| 288 | C3×C4 | C2×#237 | 1 | 1 | yes | characteristic |
| 289 | C3×C4 | #1004 | 1 | 1 | yes | characteristic |
| 290 | Dic3 | — | 3 | 2 | no | — |
| 291 | Dic3 | — | 6 | 1 | no | — |
| 292 | Dic3 | — | 6 | 1 | no | — |
| 293 | Dic3 | — | 6 | 1 | no | — |
| 294 | Dic3 | — | 12 | 2 | no | — |
| 295 | Dic3 | — | 12 | 2 | no | — |
| 296 | C9 | #3393 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 297 | C23 | — | 2 | 2 | no | — |
| 298 | Q8 | — | 2 | 2 | no | — |
| 299 | Q8 | — | 2 | 2 | no | — |
| 300 | Q8 | — | 18 | 2 | no | — |
| 301 | Q8 | — | 18 | 2 | no | — |
| 302 | Q8 | — | 18 | 2 | no | — |
| 303 | D4 | — | 2 | 2 | no | — |
| 304 | D4 | — | 2 | 2 | no | — |
| 305 | C2×C4 | — | 2 | 2 | no | — |
| 306 | C2×C4 | — | 9 | 1 | no | — |
| 307 | C2×C4 | — | 9 | 1 | no | — |
| 308 | C2×C4 | — | 9 | 1 | no | — |
| 309 | C2×C4 | — | 9 | 1 | no | — |
| 310 | C2×C4 | — | 18 | 2 | no | — |
| 311 | C2×C4 | — | 18 | 2 | no | — |
| 312 | C2×C4 | — | 36 | 4 | no | — |
| 313 | C2×C4 | D4×D9 | 1 | 1 | yes | characteristic |
| 314 | C2×C4 | D4×D9 | 1 | 1 | yes | characteristic |
| 315 | C2×C4 | C23×D9 | 1 | 1 | yes | characteristic |
| 316 | C8 | — | 2 | 1 | no | — |
| 317 | C8 | — | 18 | 1 | no | — |
| 318 | C8 | — | 18 | 1 | no | — |
| 319 | C8 | #3699 | 1 | 2 | yes | — |
| 320 | C2×C3 | — | 8 | 2 | no | — |
| 321 | C2×C3 | #5718 | 1 | 1 | yes | characteristic |
| 322 | C2×C3 | D3×#135 | 1 | 1 | yes | characteristic |
| 323 | C2×C3 | #5771 | 1 | 1 | yes | characteristic |
| 324 | C22 | — | 4 | 2 | no | — |
| 325 | C22 | — | 4 | 2 | no | — |
| 326 | C22 | — | 4 | 2 | no | — |
| 327 | C22 | C2×D4×D9 | 1 | 1 | yes | characteristic |
| 328 | C4 | — | 2 | 1 | no | — |
| 329 | C4 | — | 2 | 1 | no | — |
| 330 | C4 | — | 4 | 2 | no | — |
| 331 | C4 | — | 9 | 2 | no | — |
| 332 | C4 | — | 18 | 1 | no | — |
| 333 | C4 | — | 18 | 1 | no | — |
| 334 | C4 | — | 18 | 1 | no | — |
| 335 | C4 | — | 36 | 2 | no | — |
| 336 | C4 | — | 36 | 2 | no | — |
| 337 | C4 | C2×#3699 | 1 | 1 | yes | characteristic |
| 338 | C4 | #63710 | 1 | 1 | yes | characteristic |
| 339 | C3 | #81813 | 1 | 1 | yes | characteristic |
| 340 | C2 | — | 8 | 2 | no | — |
| 341 | C2 | #10589820 | 1 | 1 | yes | characteristic |
| 342 | C2 | D9×#135 | 1 | 1 | yes | characteristic |
| 343 | C2 | #10589873 | 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