Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
488 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13081020 | C2 | semidirect |
| 2. #13070895 | C2 | semidirect |
| 3. #13070805 | C2 | semidirect |
| 4. #13070795 | C2 | semidirect |
| 5. #13070773 | C2 | semidirect |
| 6. #13070716 | C2 | semidirect |
| 7. #13070449 | C2 | semidirect |
| 8. #13070401 | C2 | semidirect |
| 9. C4×C11×D16 | C2 | semidirect |
| 103. C4×D16 | D11 | semidirect |
| 234. C11 | #33922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081020 | 2 |
| #13070895 | 2 |
| #13070805 | 2 |
| #13070795 | 2 |
| #13070773 | 2 |
| #13070716 | 2 |
| #13070449 | 2 |
| #13070401 | 2 |
| C4×C11×D16 | 2 |
| #33922 | 11 |