Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
582 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 159 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. #13068788 | C2 | semidirect |
| 2. #13067284 | C2 | semidirect |
| 3. #13066899 | C2 | semidirect |
| 153. C11 | #9773 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13068788 | 2 |
| #13067284 | 2 |
| #13066899 | 2 |
| C2×C11×#493 | 2 |
| #9773 | 11 |