Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
364 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13068469 | C2 | semidirect |
| 3. #13067391 | C2 | semidirect |
| 6. #13066512 | C2 | semidirect |
| 7. C11×#1276 | C2 | semidirect |
| 19. #10622124 | C4 | semidirect |
| 20. #10622123 | C4 | semidirect |
| 101. #1276 | D11 | semidirect |
| 249. C11 | #9581 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069444 | 2 |
| #13068469 | 2 |
| #13067391 | 2 |
| #13067263 | 2 |
| #13067016 | 2 |
| #13066512 | 2 |
| C11×#1276 | 2 |
| #9581 | 11 |