Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
322 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 111 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. #11926954 | C2 | semidirect |
| 4. #11926953 | C2 | semidirect |
| 5. #11926912 | C2 | semidirect |
| 8. #11926837 | C2 | semidirect |
| 9. #11926827 | C2 | semidirect |
| 11. C19×#491 | C2 | semidirect |
| 122. #491 | D19 | semidirect |
| 163. C19 | #3237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927100 | 2 |
| #11927099 | 2 |
| #11926954 | 2 |
| #11926953 | 2 |
| #11926912 | 2 |
| #11926884 | 2 |
| #11926883 | 2 |
| #11926837 | 2 |
| #11926827 | 2 |
| #11926599 | 2 |
| C19×#491 | 2 |
| #3237 | 19 |