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. #11927095 | C2 | semidirect |
| 2. #11927093 | C2 | semidirect |
| 3. #11926934 | C2 | semidirect |
| 4. #11926933 | C2 | semidirect |
| 5. #11926906 | C2 | semidirect |
| 6. #11926748 | C2 | semidirect |
| 7. #11926738 | C2 | semidirect |
| 8. #11926692 | C2 | semidirect |
| 9. #11926690 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#489 | C2 | semidirect |
| 148. #489 | 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 |
|---|---|
| #11927095 | 2 |
| #11927093 | 2 |
| #11926934 | 2 |
| #11926933 | 2 |
| #11926906 | 2 |
| #11926748 | 2 |
| #11926738 | 2 |
| #11926692 | 2 |
| #11926690 | 2 |
| #11926599 | 2 |
| C19×#489 | 2 |
| #3214 | 19 |