Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 2. C2×#10597390 | C2 | semidirect |
| 3. #11926915 | C2 | semidirect |
| 4. #11926893 | C2 | semidirect |
| 5. #11926748 | C2 | semidirect |
| 6. #11926747 | C2 | semidirect |
| 7. #11926685 | C2 | semidirect |
| 8. #11926683 | C2 | semidirect |
| 9. #11926682 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 11. C19×#448 | C2 | semidirect |
| 107. C2×Dic19 | SD16 | semidirect |
| 150. #448 | D19 | semidirect |
| 189. C19 | #3206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927089 | 2 |
| C2×#10597390 | 2 |
| #11926915 | 2 |
| #11926893 | 2 |
| #11926748 | 2 |
| #11926747 | 2 |
| #11926685 | 2 |
| #11926683 | 2 |
| #11926682 | 2 |
| #11926594 | 2 |
| C19×#448 | 2 |
| #3206 | 19 |