Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
408 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 1. #11927095 | C2 | semidirect |
| 2. #11927073 | C2 | semidirect |
| 3. #11926950 | C2 | semidirect |
| 4. #11926934 | C2 | semidirect |
| 5. #11926909 | C2 | semidirect |
| 6. #11926796 | C2 | semidirect |
| 7. #11926793 | C2 | semidirect |
| 8. #11926629 | C2 | semidirect |
| 9. #11926624 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#489 | C2 | semidirect |
| 110. C19⋊C8 | #41 | semidirect |
| 137. #489 | D19 | semidirect |
| 180. C19 | #3171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927095 | 2 |
| #11927073 | 2 |
| #11926950 | 2 |
| #11926934 | 2 |
| #11926909 | 2 |
| #11926796 | 2 |
| #11926793 | 2 |
| #11926629 | 2 |
| #11926624 | 2 |
| #11926496 | 2 |
| C19×#489 | 2 |
| #3171 | 19 |