Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
418 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13068368 | C2 | semidirect |
| 3. #13067377 | C2 | semidirect |
| 4. #13067228 | C2 | semidirect |
| 5. #13067227 | C2 | semidirect |
| 6. #13067123 | C2 | semidirect |
| 7. C11×#1505 | C2 | semidirect |
| 12. #10622701 | C4 | semidirect |
| 13. #10622691 | C4 | semidirect |
| 14. #10622686 | C4 | semidirect |
| 15. #10622683 | C4 | semidirect |
| 126. #1505 | D11 | semidirect |
| 303. C11 | #9764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079191 | 2 |
| #13068368 | 2 |
| #13067377 | 2 |
| #13067228 | 2 |
| #13067227 | 2 |
| #13067123 | 2 |
| C11×#1505 | 2 |
| #9764 | 11 |