Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
328 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927101 | C2 | semidirect |
| 2. #11926954 | C2 | semidirect |
| 3. #11926954 | C2 | semidirect |
| 4. #11926903 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926882 | C2 | semidirect |
| 8. #11926851 | C2 | semidirect |
| 9. #11926844 | C2 | semidirect |
| 10. #11926601 | C2 | semidirect |
| 168. C19 | #3240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11926954 | 2 |
| #11926903 | 2 |
| #11926882 | 2 |
| #11926865 | 2 |
| #11926851 | 2 |
| #11926844 | 2 |
| #11926601 | 2 |
| C19×#529 | 2 |
| #3240 | 19 |