Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
362 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13068790 | C2 | semidirect |
| 5. #13066474 | C2 | semidirect |
| 6. #13066460 | C2 | semidirect |
| 7. C11×#1286 | C2 | semidirect |
| 95. #1286 | D11 | semidirect |
| 238. C11 | #10631 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069439 | 2 |
| #13068790 | 2 |
| #13067285 | 2 |
| #13067283 | 2 |
| #13066474 | 2 |
| #13066460 | 2 |
| C11×#1286 | 2 |
| #10631 | 11 |