Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
312 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 3. #11926553 | C2 | semidirect |
| 5. #11926301 | C2 | semidirect |
| 6. #11926300 | C2 | semidirect |
| 7. C19×#419 | C2 | semidirect |
| 12. #10597393 | C4 | semidirect |
| 14. #10597390 | C4 | semidirect |
| 108. #419 | D19 | semidirect |
| 134. C19 | #1909 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927310 | 2 |
| #11927118 | 2 |
| #11926553 | 2 |
| #11926517 | 2 |
| #11926301 | 2 |
| #11926300 | 2 |
| C19×#419 | 2 |
| #1909 | 19 |