Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
390 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11927099 | C2 | semidirect |
| 3. #11926884 | C2 | semidirect |
| 4. #11926829 | C2 | semidirect |
| 5. #11926825 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 8. Q16×Dic19 | C2 | semidirect |
| 9. #11926629 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#462 | C2 | semidirect |
| 137. #462 | D19 | semidirect |
| 179. C19 | #3107 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| C4×#64545 | 2 |
| #11926884 | 2 |
| #11926829 | 2 |
| #11926825 | 2 |
| #11926746 | 2 |
| #11926705 | 2 |
| Q16×Dic19 | 2 |
| #11926629 | 2 |
| #11926596 | 2 |
| C19×#462 | 2 |
| #3107 | 19 |