Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#10597355 | C2 | semidirect |
| 3. C22×#64528 | C2 | semidirect |
| 4. #11927118 | C2 | semidirect |
| 5. #11927115 | C2 | semidirect |
| 6. #11926937 | C2 | semidirect |
| 7. #11926935 | C2 | semidirect |
| 8. #11926925 | C2 | semidirect |
| 9. #11926922 | C2 | semidirect |
| 10. #11926502 | C2 | semidirect |
| 11. C2×C19×#137 | C2 | semidirect |
| 140. C2×#137 | D19 | semidirect |
| 186. C19 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| C2×#10597396 | 2 |
| C22×#64528 | 2 |
| #11927118 | 2 |
| #11927115 | 2 |
| #11926937 | 2 |
| #11926935 | 2 |
| #11926925 | 2 |
| #11926922 | 2 |
| #11926502 | 2 |
| C2×C19×#137 | 2 |
| #3156 | 19 |