Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#10597388 | C2 | semidirect |
| 3. #11927024 | C2 | semidirect |
| 4. #11926763 | C2 | semidirect |
| 5. #11926756 | C2 | semidirect |
| 6. #11926751 | C2 | semidirect |
| 7. #11926746 | C2 | semidirect |
| 8. #11926571 | C2 | semidirect |
| 9. #11926545 | C2 | semidirect |
| 10. C2×#10597292 | C2 | semidirect |
| 11. C19×#536 | C2 | semidirect |
| 143. #536 | D19 | semidirect |
| 189. C19 | #3046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597388 | 2 |
| C2×#10597396 | 2 |
| #11927024 | 2 |
| #11926763 | 2 |
| #11926756 | 2 |
| #11926751 | 2 |
| #11926746 | 2 |
| #11926571 | 2 |
| #11926545 | 2 |
| C2×#10597292 | 2 |
| C19×#536 | 2 |
| #3046 | 19 |