Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
338 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×Dic38 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 6. #11926830 | C2 | semidirect |
| 8. #11926755 | C2 | semidirect |
| 9. #11926652 | C2 | semidirect |
| 11. C19×#446 | C2 | semidirect |
| 121. #446 | D19 | semidirect |
| 157. C19 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic38 | 2 |
| #11927267 | 2 |
| #11926904 | 2 |
| #11926895 | 2 |
| #11926835 | 2 |
| #11926830 | 2 |
| #11926767 | 2 |
| #11926755 | 2 |
| #11926652 | 2 |
| C4×#64516 | 2 |
| C19×#446 | 2 |
| #3369 | 19 |