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×#10597388 | C2 | semidirect |
| 2. C2×#10597397 | C2 | semidirect |
| 4. C22×#64528 | C2 | semidirect |
| 5. #11927120 | C2 | semidirect |
| 6. #11926939 | C2 | semidirect |
| 7. #11926936 | C2 | semidirect |
| 8. #11926926 | C2 | semidirect |
| 9. #11926923 | C2 | semidirect |
| 10. #11926500 | C2 | semidirect |
| 11. C19×#536 | C2 | semidirect |
| 144. #536 | 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×#10597388 | 2 |
| C2×#10597397 | 2 |
| C2×#10597396 | 2 |
| C22×#64528 | 2 |
| #11927120 | 2 |
| #11926939 | 2 |
| #11926936 | 2 |
| #11926926 | 2 |
| #11926923 | 2 |
| #11926500 | 2 |
| C19×#536 | 2 |
| #3156 | 19 |