Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
372 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927268 | C2 | semidirect |
| 2. #11927209 | C2 | semidirect |
| 3. #11926905 | C2 | semidirect |
| 4. #11926837 | C2 | semidirect |
| 5. #11926821 | C2 | semidirect |
| 7. #11926746 | C2 | semidirect |
| 8. #11926674 | C2 | semidirect |
| 9. #11926647 | C2 | semidirect |
| 11. C19×#487 | C2 | semidirect |
| 121. #487 | D19 | semidirect |
| 163. C19 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927268 | 2 |
| #11927209 | 2 |
| #11926905 | 2 |
| #11926837 | 2 |
| #11926821 | 2 |
| #11926762 | 2 |
| #11926746 | 2 |
| #11926674 | 2 |
| #11926647 | 2 |
| C4×D152 | 2 |
| C19×#487 | 2 |
| #3367 | 19 |