Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
388 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 131 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. #11926853 | C2 | semidirect |
| 4. #11926847 | C2 | semidirect |
| 5. #11926831 | C2 | semidirect |
| 6. #11926829 | C2 | semidirect |
| 7. #11926825 | C2 | semidirect |
| 8. #11926581 | C2 | semidirect |
| 9. C4⋊C8×D19 | C2 | semidirect |
| 11. C19×#477 | C2 | semidirect |
| 46. #64545 | Q8 | semidirect |
| 134. #477 | D19 | semidirect |
| 177. C19 | #3076 | 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 |
| #11926853 | 2 |
| #11926847 | 2 |
| #11926831 | 2 |
| #11926829 | 2 |
| #11926825 | 2 |
| #11926581 | 2 |
| C4⋊C8×D19 | 2 |
| #11926539 | 2 |
| C19×#477 | 2 |
| #3076 | 19 |