Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#10597390 | C2 | semidirect |
| 5. #11926753 | C2 | semidirect |
| 6. #11926748 | C2 | semidirect |
| 7. #11926567 | C2 | semidirect |
| 8. #11926552 | C2 | semidirect |
| 9. C19×#419 | C2 | semidirect |
| 117. Dic19 | #137 | semidirect |
| 126. #419 | D19 | semidirect |
| 156. C19 | #3039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| C2×#10597388 | 2 |
| C2×#10597390 | 2 |
| #11927012 | 2 |
| #11926753 | 2 |
| #11926748 | 2 |
| #11926567 | 2 |
| #11926552 | 2 |
| C19×#419 | 2 |
| #3039 | 19 |