Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 125 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. #11927259 | C2 | semidirect |
| 2. #11926894 | C2 | semidirect |
| 3. #11926882 | C2 | semidirect |
| 4. #11926834 | C2 | semidirect |
| 5. #11926775 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 7. #11926689 | C2 | semidirect |
| 8. C4×#64525 | C2 | semidirect |
| 9. D4×C19⋊C8 | C2 | semidirect |
| 10. #11926540 | C2 | semidirect |
| 11. C19×#547 | C2 | semidirect |
| 126. #547 | D19 | semidirect |
| 171. C19 | #3303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927259 | 2 |
| #11926894 | 2 |
| #11926882 | 2 |
| #11926834 | 2 |
| #11926775 | 2 |
| #11926746 | 2 |
| #11926689 | 2 |
| C4×#64525 | 2 |
| D4×C19⋊C8 | 2 |
| #11926540 | 2 |
| C19×#547 | 2 |
| #3303 | 19 |