Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
332 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 332 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. #11927099 | C2 | semidirect |
| 3. #11926944 | C2 | semidirect |
| 4. #11926900 | C2 | semidirect |
| 5. #11926883 | C2 | semidirect |
| 7. #11926839 | C2 | semidirect |
| 8. #11926835 | C2 | semidirect |
| 9. #11926821 | C2 | semidirect |
| 10. #11926596 | C2 | semidirect |
| 11. C19×#475 | C2 | semidirect |
| 133. #475 | D19 | semidirect |
| 172. C19 | #3233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927099 | 2 |
| #11927081 | 2 |
| #11926944 | 2 |
| #11926900 | 2 |
| #11926883 | 2 |
| #11926870 | 2 |
| #11926839 | 2 |
| #11926835 | 2 |
| #11926821 | 2 |
| #11926596 | 2 |
| C19×#475 | 2 |
| #3233 | 19 |