Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
350 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927264 | C2 | semidirect |
| 2. #11927251 | C2 | semidirect |
| 3. #11926897 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 5. #11926850 | C2 | semidirect |
| 6. #11926834 | C2 | semidirect |
| 8. #11926749 | C2 | semidirect |
| 9. C8×Dic38 | C2 | semidirect |
| 10. #11926635 | C2 | semidirect |
| 161. C19 | #3360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927264 | 2 |
| #11927251 | 2 |
| #11926897 | 2 |
| #11926895 | 2 |
| #11926850 | 2 |
| #11926834 | 2 |
| #11926757 | 2 |
| #11926749 | 2 |
| C8×Dic38 | 2 |
| #11926635 | 2 |
| C4×D8×C19 | 2 |
| #3360 | 19 |