Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
340 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
| 2. #11926914 | C2 | semidirect |
| 3. #11926896 | C2 | semidirect |
| 4. #11926848 | C2 | semidirect |
| 5. #11926836 | C2 | semidirect |
| 8. #11926675 | C2 | semidirect |
| 157. C19 | #3372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927273 | 2 |
| #11926914 | 2 |
| #11926896 | 2 |
| #11926848 | 2 |
| #11926836 | 2 |
| #11926749 | 2 |
| #11926675 | 2 |
| #11926644 | 2 |
| C4×#64526 | 2 |
| C19×#554 | 2 |
| #3372 | 19 |