Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927075 | C2 | semidirect |
| 2. #11926850 | C2 | semidirect |
| 3. #11926842 | C2 | semidirect |
| 4. #11926785 | C2 | semidirect |
| 5. #11926771 | C2 | semidirect |
| 6. #11926765 | C2 | semidirect |
| 7. #11926757 | C2 | semidirect |
| 8. C2×Dic19⋊C8 | C2 | semidirect |
| 141. C19 | #3250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927075 | 2 |
| #11926850 | 2 |
| #11926842 | 2 |
| #11926785 | 2 |
| #11926771 | 2 |
| #11926765 | 2 |
| #11926757 | 2 |
| C2×Dic19⋊C8 | 2 |
| C19×#466 | 2 |
| #3250 | 19 |