Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927092 | C2 | semidirect |
| 2. #11927081 | C2 | semidirect |
| 3. #11926925 | C2 | semidirect |
| 4. #11926897 | C2 | semidirect |
| 5. #11926754 | C2 | semidirect |
| 6. #11926750 | C2 | semidirect |
| 7. #11926736 | C2 | semidirect |
| 8. #11926703 | C2 | semidirect |
| 9. #11926690 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#460 | C2 | semidirect |
| 145. #460 | D19 | semidirect |
| 187. C19 | #3212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927092 | 2 |
| #11927081 | 2 |
| #11926925 | 2 |
| #11926897 | 2 |
| #11926754 | 2 |
| #11926750 | 2 |
| #11926736 | 2 |
| #11926703 | 2 |
| #11926690 | 2 |
| #11926596 | 2 |
| C19×#460 | 2 |
| #3212 | 19 |