Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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. #13068780 | C2 | semidirect |
| 2. #13067180 | C2 | semidirect |
| 4. #13066908 | C2 | semidirect |
| 9. C11×#487 | C4 | semidirect |
| 10. C11×#486 | C4 | semidirect |
| 118. #487 | Dic11 | semidirect |
| 119. #486 | Dic11 | semidirect |
| 210. C11 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13068780 | 2 |
| #13067180 | 2 |
| #13067176 | 2 |
| #13066908 | 2 |
| C11×#3131 | 2 |
| #9758 | 11 |