Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 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. #11927274 | C2 | semidirect |
| 4. #11926896 | C2 | semidirect |
| 5. #11926828 | C2 | semidirect |
| 7. #11926755 | C2 | semidirect |
| 8. #11926671 | C2 | semidirect |
| 9. #11926650 | C2 | semidirect |
| 157. C19 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927274 | 2 |
| #11927264 | 2 |
| #11926902 | 2 |
| #11926896 | 2 |
| #11926828 | 2 |
| #11926765 | 2 |
| #11926755 | 2 |
| #11926671 | 2 |
| #11926650 | 2 |
| C4×#64526 | 2 |
| C19×#476 | 2 |
| #3369 | 19 |