Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 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. #11927358 | C2 | semidirect |
| 2. #11927357 | C2 | semidirect |
| 3. #11926987 | C2 | semidirect |
| 4. #11926986 | C2 | semidirect |
| 5. #11926983 | C2 | semidirect |
| 6. #11926975 | C2 | semidirect |
| 7. #11926974 | C2 | semidirect |
| 8. C2×#10597286 | C2 | semidirect |
| 9. Q32×D19 | C2 | semidirect |
| 10. #11926962 | C2 | semidirect |
| 11. C19×#510 | C2 | semidirect |
| 124. #510 | D19 | semidirect |
| 164. C19 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927358 | 2 |
| #11927357 | 2 |
| #11926987 | 2 |
| #11926986 | 2 |
| #11926983 | 2 |
| #11926975 | 2 |
| #11926974 | 2 |
| C2×#10597286 | 2 |
| Q32×D19 | 2 |
| #11926962 | 2 |
| C19×#510 | 2 |
| #3417 | 19 |