Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
474 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13077631 | C2 | semidirect |
| 3. #13068427 | C2 | semidirect |
| 4. #13067207 | C2 | semidirect |
| 5. #13067123 | C2 | semidirect |
| 6. #13066487 | C2 | semidirect |
| 7. C11×#1300 | C2 | semidirect |
| 17. #10622464 | C4 | semidirect |
| 18. #10622461 | C4 | semidirect |
| 19. #10622459 | C4 | semidirect |
| 20. #10622456 | C4 | semidirect |
| 139. #1300 | D11 | semidirect |
| 335. C11 | #9161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13078768 | 2 |
| #13077631 | 2 |
| #13068427 | 2 |
| #13067207 | 2 |
| #13067123 | 2 |
| #13066487 | 2 |
| C11×#1300 | 2 |
| #9161 | 11 |