Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
618 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 1. #13081210 | C2 | semidirect |
| 2. #13080543 | C2 | semidirect |
| 3. #13068112 | C2 | semidirect |
| 4. #13068064 | C2 | semidirect |
| 5. #13067848 | C2 | semidirect |
| 6. #13067759 | C2 | semidirect |
| 7. #13067502 | C2 | semidirect |
| 8. C8×D88 | C2 | semidirect |
| 9. C11×#1707 | C2 | semidirect |
| 123. #1707 | D11 | semidirect |
| 291. C11 | #19954 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081210 | 2 |
| #13080543 | 2 |
| #13068112 | 2 |
| #13068064 | 2 |
| #13067848 | 2 |
| #13067759 | 2 |
| #13067502 | 2 |
| C8×D88 | 2 |
| C11×#1707 | 2 |
| #19954 | 11 |