Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
418 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 7. C11×#500 | C4 | semidirect |
| 8. C11×#494 | C4 | semidirect |
| 9. C11×#487 | C4 | semidirect |
| 120. #500 | Dic11 | semidirect |
| 121. #494 | Dic11 | semidirect |
| 122. #487 | Dic11 | semidirect |
| 219. C11 | #9763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13068302 | 2 |
| #13067379 | 2 |
| #13067231 | 2 |
| #13067128 | 2 |
| C11×#3170 | 2 |
| #9763 | 11 |