Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
690 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 690 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 |
|---|---|---|
| 1. #13079543 | C2 | semidirect |
| 3. #13076973 | C2 | semidirect |
| 4. #13069444 | C2 | semidirect |
| 5. #13067296 | C2 | semidirect |
| 6. #13067283 | C2 | semidirect |
| 7. C11×#1276 | C2 | semidirect |
| 128. #1276 | D11 | semidirect |
| 310. C11 | #10281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079543 | 2 |
| #13079536 | 2 |
| #13076973 | 2 |
| #13069444 | 2 |
| #13067296 | 2 |
| #13067283 | 2 |
| C11×#1276 | 2 |
| #10281 | 11 |