Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
322 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 322 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 |
|---|---|---|
| 2. #11926851 | C2 | semidirect |
| 3. #11926848 | C2 | semidirect |
| 6. #11926754 | C2 | semidirect |
| 7. #11926751 | C2 | semidirect |
| 129. C19 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927156 | 2 |
| #11926851 | 2 |
| #11926848 | 2 |
| #11926800 | 2 |
| #11926783 | 2 |
| #11926754 | 2 |
| #11926751 | 2 |
| #11926571 | 2 |
| C19×#541 | 2 |
| #3261 | 19 |