Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
360 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #11926941 | C2 | semidirect |
| 4. #11926893 | C2 | semidirect |
| 7. #11926830 | C2 | semidirect |
| 8. #11926829 | C2 | semidirect |
| 9. #11926826 | C2 | semidirect |
| 11. C19×#475 | C2 | semidirect |
| 134. #475 | D19 | semidirect |
| 171. C19 | #3229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927098 | 2 |
| C4⋊Q8×D19 | 2 |
| #11926941 | 2 |
| #11926893 | 2 |
| #11926876 | 2 |
| #11926873 | 2 |
| #11926830 | 2 |
| #11926829 | 2 |
| #11926826 | 2 |
| #11926596 | 2 |
| C19×#475 | 2 |
| #3229 | 19 |