Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
390 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927098 | C2 | semidirect |
| 3. #11926937 | C2 | semidirect |
| 4. #11926905 | C2 | semidirect |
| 5. #11926751 | C2 | semidirect |
| 6. #11926745 | C2 | semidirect |
| 7. #11926744 | C2 | semidirect |
| 8. #11926709 | C2 | semidirect |
| 9. #11926705 | C2 | semidirect |
| 10. #11926600 | C2 | semidirect |
| 11. C19×#462 | C2 | semidirect |
| 141. #462 | D19 | semidirect |
| 183. C19 | #3216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927098 | 2 |
| #11927095 | 2 |
| #11926937 | 2 |
| #11926905 | 2 |
| #11926751 | 2 |
| #11926745 | 2 |
| #11926744 | 2 |
| #11926709 | 2 |
| #11926705 | 2 |
| #11926600 | 2 |
| C19×#462 | 2 |
| #3216 | 19 |