Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #11927091 | C2 | semidirect |
| 2. #11926941 | C2 | semidirect |
| 3. #11926919 | C2 | semidirect |
| 4. #11926889 | C2 | semidirect |
| 5. #11926798 | C2 | semidirect |
| 6. #11926796 | C2 | semidirect |
| 7. #11926794 | C2 | semidirect |
| 8. #11926657 | C2 | semidirect |
| 9. #11926654 | C2 | semidirect |
| 10. #11926496 | C2 | semidirect |
| 11. C19×#442 | C2 | semidirect |
| 94. C8×C19 | #41 | semidirect |
| 96. C19⋊C8 | #41 | semidirect |
| 123. #442 | D19 | semidirect |
| 157. C19 | #3184 | semidirect |
| 215. C8 | #64541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927091 | 2 |
| #11926941 | 2 |
| #11926919 | 2 |
| #11926889 | 2 |
| #11926798 | 2 |
| #11926796 | 2 |
| #11926794 | 2 |
| #11926657 | 2 |
| #11926654 | 2 |
| #11926496 | 2 |
| C19×#442 | 2 |
| #3184 | 19 |