Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13079203 | C2 | semidirect |
| 3. #13070889 | C2 | semidirect |
| 4. #13070871 | C2 | semidirect |
| 5. #13070844 | C2 | semidirect |
| 6. #13070728 | C2 | semidirect |
| 7. #13070477 | C2 | semidirect |
| 8. C4×#66862 | C2 | semidirect |
| 9. C11×#2240 | C2 | semidirect |
| 114. C11⋊C16 | #41 | semidirect |
| 120. #2240 | D11 | semidirect |
| 279. C11 | #33751 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079203 | 2 |
| #13079193 | 2 |
| #13070889 | 2 |
| #13070871 | 2 |
| #13070844 | 2 |
| #13070728 | 2 |
| #13070477 | 2 |
| C4×#66862 | 2 |
| C11×#2240 | 2 |
| #33751 | 11 |