Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
364 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11926939 | C2 | semidirect |
| 4. #11926924 | C2 | semidirect |
| 5. #11926914 | C2 | semidirect |
| 6. #11926765 | C2 | semidirect |
| 7. #11926753 | C2 | semidirect |
| 9. #11926701 | C2 | semidirect |
| 10. #11926603 | C2 | semidirect |
| 11. C19×#488 | C2 | semidirect |
| 116. #488 | D19 | semidirect |
| 153. C19 | #3223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927157 | 2 |
| #11927114 | 2 |
| #11926939 | 2 |
| #11926924 | 2 |
| #11926914 | 2 |
| #11926765 | 2 |
| #11926753 | 2 |
| #11926707 | 2 |
| #11926701 | 2 |
| #11926603 | 2 |
| C19×#488 | 2 |
| #3223 | 19 |