Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
312 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 312 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 |
|---|---|---|
| 1. #13067404 | C2 | semidirect |
| 5. #13066507 | C2 | semidirect |
| 6. #13066453 | C2 | semidirect |
| 7. C11×#1450 | C2 | semidirect |
| 97. #1450 | D11 | semidirect |
| 240. C11 | #9586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13067404 | 2 |
| #13067276 | 2 |
| #13067068 | 2 |
| #13067032 | 2 |
| #13066507 | 2 |
| #13066453 | 2 |
| C11×#1450 | 2 |
| #9586 | 11 |