Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
370 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927073 | C2 | semidirect |
| 2. #11926946 | C2 | semidirect |
| 3. #11926898 | C2 | semidirect |
| 4. #11926799 | C2 | semidirect |
| 6. #11926787 | C2 | semidirect |
| 7. #11926656 | C2 | semidirect |
| 8. #11926651 | C2 | semidirect |
| 9. #11926645 | C2 | semidirect |
| 10. C4×#64515 | C2 | semidirect |
| 11. C19×#495 | C2 | semidirect |
| 108. #495 | D19 | semidirect |
| 148. C19 | #3183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927073 | 2 |
| #11926946 | 2 |
| #11926898 | 2 |
| #11926799 | 2 |
| #11926794 | 2 |
| #11926787 | 2 |
| #11926656 | 2 |
| #11926651 | 2 |
| #11926645 | 2 |
| C4×#64515 | 2 |
| C19×#495 | 2 |
| #3183 | 19 |