Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927157 | C2 | semidirect |
| 3. #11926943 | C2 | semidirect |
| 4. #11926916 | C2 | semidirect |
| 5. #11926913 | C2 | semidirect |
| 6. #11926789 | C2 | semidirect |
| 7. #11926772 | C2 | semidirect |
| 8. #11926641 | C2 | semidirect |
| 9. #11926635 | C2 | semidirect |
| 10. #11926501 | C2 | semidirect |
| 11. C19×#490 | C2 | semidirect |
| 110. #490 | D19 | semidirect |
| 147. C19 | #3174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927157 | 2 |
| #11927148 | 2 |
| #11926943 | 2 |
| #11926916 | 2 |
| #11926913 | 2 |
| #11926789 | 2 |
| #11926772 | 2 |
| #11926641 | 2 |
| #11926635 | 2 |
| #11926501 | 2 |
| C19×#490 | 2 |
| #3174 | 19 |