Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
336 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 336 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. #11927273 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 5. #11926854 | C2 | semidirect |
| 8. #11926754 | C2 | semidirect |
| 9. C8×Dic38 | C2 | semidirect |
| 10. #11926636 | C2 | semidirect |
| 156. C19 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927273 | 2 |
| #11927264 | 2 |
| #11926897 | 2 |
| #11926895 | 2 |
| #11926854 | 2 |
| #11926824 | 2 |
| #11926764 | 2 |
| #11926754 | 2 |
| C8×Dic38 | 2 |
| #11926636 | 2 |
| C4×SD16×C19 | 2 |
| #3364 | 19 |