Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
464 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 464 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. #13077678 | C2 | semidirect |
| 3. #13067144 | C2 | semidirect |
| 4. #13066975 | C2 | semidirect |
| 5. #13066524 | C2 | semidirect |
| 6. #13066493 | C2 | semidirect |
| 7. C11×#1516 | C2 | semidirect |
| 18. #10622659 | C4 | semidirect |
| 19. #10622656 | C4 | semidirect |
| 21. #10622649 | C4 | semidirect |
| 22. #10622646 | C4 | semidirect |
| 145. #1516 | D11 | semidirect |
| 367. C11 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079426 | 2 |
| #13077678 | 2 |
| #13067144 | 2 |
| #13066975 | 2 |
| #13066524 | 2 |
| #13066493 | 2 |
| C11×#1516 | 2 |
| #9332 | 11 |