Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
358 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 119 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. #11926941 | C2 | semidirect |
| 3. #11926922 | C2 | semidirect |
| 4. #11926893 | C2 | semidirect |
| 7. #11926651 | C2 | semidirect |
| 8. #11926650 | C2 | semidirect |
| 9. #11926648 | C2 | semidirect |
| 144. C19 | #3185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| #11926941 | 2 |
| #11926922 | 2 |
| #11926893 | 2 |
| #11926802 | 2 |
| #11926800 | 2 |
| #11926651 | 2 |
| #11926650 | 2 |
| #11926648 | 2 |
| M16×Dic19 | 2 |
| C19×#470 | 2 |
| #3185 | 19 |