Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 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. #11927098 | C2 | semidirect |
| 3. #11926836 | C2 | semidirect |
| 4. #11926823 | C2 | semidirect |
| 5. #11926793 | C2 | semidirect |
| 6. #11926791 | C2 | semidirect |
| 7. #11926748 | C2 | semidirect |
| 8. #11926745 | C2 | semidirect |
| 9. #11926744 | C2 | semidirect |
| 10. #11926566 | C2 | semidirect |
| 11. C19×#477 | C2 | semidirect |
| 136. #477 | D19 | semidirect |
| 180. C19 | #3254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927098 | 2 |
| #11927095 | 2 |
| #11926836 | 2 |
| #11926823 | 2 |
| #11926793 | 2 |
| #11926791 | 2 |
| #11926748 | 2 |
| #11926745 | 2 |
| #11926744 | 2 |
| #11926566 | 2 |
| C19×#477 | 2 |
| #3254 | 19 |