Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
430 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 430 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. #11927092 | C2 | semidirect |
| 2. #11927091 | C2 | semidirect |
| 3. #11926835 | C2 | semidirect |
| 4. #11926834 | C2 | semidirect |
| 5. #11926832 | C2 | semidirect |
| 6. #11926796 | C2 | semidirect |
| 7. #11926794 | C2 | semidirect |
| 8. #11926737 | C2 | semidirect |
| 9. #11926736 | C2 | semidirect |
| 10. #11926566 | C2 | semidirect |
| 11. C19×#459 | C2 | semidirect |
| 153. #459 | D19 | semidirect |
| 193. C19 | #3253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| #11927091 | 2 |
| #11926835 | 2 |
| #11926834 | 2 |
| #11926832 | 2 |
| #11926796 | 2 |
| #11926794 | 2 |
| #11926737 | 2 |
| #11926736 | 2 |
| #11926566 | 2 |
| C19×#459 | 2 |
| #3253 | 19 |