Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
434 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 111 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. #11927093 | C2 | semidirect |
| 2. #11927092 | C2 | semidirect |
| 3. #11926931 | C2 | semidirect |
| 4. #11926904 | C2 | semidirect |
| 5. #11926903 | C2 | semidirect |
| 6. #11926747 | C2 | semidirect |
| 7. #11926737 | C2 | semidirect |
| 8. #11926688 | C2 | semidirect |
| 9. #11926686 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#496 | C2 | semidirect |
| 146. #496 | D19 | semidirect |
| 192. C19 | #3214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927093 | 2 |
| #11927092 | 2 |
| #11926931 | 2 |
| #11926904 | 2 |
| #11926903 | 2 |
| #11926747 | 2 |
| #11926737 | 2 |
| #11926688 | 2 |
| #11926686 | 2 |
| #11926599 | 2 |
| C19×#496 | 2 |
| #3214 | 19 |