Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 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. D4×Dic38 | C2 | semidirect |
| 3. #11926902 | C2 | semidirect |
| 4. #11926895 | C2 | semidirect |
| 5. #11926838 | C2 | semidirect |
| 6. #11926824 | C2 | semidirect |
| 8. #11926749 | C2 | semidirect |
| 9. #11926674 | C2 | semidirect |
| 10. #11926641 | C2 | semidirect |
| 163. C19 | #3367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927264 | 2 |
| D4×Dic38 | 2 |
| #11926902 | 2 |
| #11926895 | 2 |
| #11926838 | 2 |
| #11926824 | 2 |
| #11926757 | 2 |
| #11926749 | 2 |
| #11926674 | 2 |
| #11926641 | 2 |
| C4×D8×C19 | 2 |
| #3367 | 19 |