Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 4. #11926838 | C2 | semidirect |
| 5. #11926753 | C2 | semidirect |
| 8. #11926638 | C2 | semidirect |
| 9. #11926636 | C2 | semidirect |
| 95. C2×Dic19 | Q16 | semidirect |
| 170. C19 | #3104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| C2×#10597333 | 2 |
| #11926879 | 2 |
| #11926838 | 2 |
| #11926753 | 2 |
| #11926702 | 2 |
| #11926699 | 2 |
| #11926638 | 2 |
| #11926636 | 2 |
| #11926594 | 2 |
| C19×#484 | 2 |
| #3104 | 19 |