Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. #11926948 | C2 | semidirect |
| 3. #11926922 | C2 | semidirect |
| 4. #11926893 | C2 | semidirect |
| 7. Q16×Dic19 | C2 | semidirect |
| 8. #11926638 | C2 | semidirect |
| 9. #11926636 | C2 | semidirect |
| 83. C2×Dic19 | Q16 | semidirect |
| 153. C19 | #3170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| #11926948 | 2 |
| #11926922 | 2 |
| #11926893 | 2 |
| #11926785 | 2 |
| #11926783 | 2 |
| Q16×Dic19 | 2 |
| #11926638 | 2 |
| #11926636 | 2 |
| C2×C8×Dic19 | 2 |
| C19×#467 | 2 |
| #3170 | 19 |