Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 3. #11926941 | C2 | semidirect |
| 4. #11926893 | C2 | semidirect |
| 8. #11926828 | C2 | semidirect |
| 9. #11926827 | C2 | semidirect |
| 167. C19 | #3229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| C2×#10597334 | 2 |
| #11926941 | 2 |
| #11926893 | 2 |
| #11926875 | 2 |
| #11926874 | 2 |
| #11926872 | 2 |
| #11926828 | 2 |
| #11926827 | 2 |
| #11926594 | 2 |
| C19×#483 | 2 |
| #3229 | 19 |