Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
338 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×Dic38 | C2 | semidirect |
| 3. #11926894 | C2 | semidirect |
| 5. #11926829 | C2 | semidirect |
| 7. #11926751 | C2 | semidirect |
| 8. #11926675 | C2 | semidirect |
| 9. #11926649 | C2 | semidirect |
| 157. C19 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic38 | 2 |
| #11926903 | 2 |
| #11926894 | 2 |
| #11926834 | 2 |
| #11926829 | 2 |
| #11926763 | 2 |
| #11926751 | 2 |
| #11926675 | 2 |
| #11926649 | 2 |
| C4×#64526 | 2 |
| C19×#556 | 2 |
| #3369 | 19 |