Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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. #11926852 | C2 | semidirect |
| 5. #11926755 | C2 | semidirect |
| 7. #11926652 | C2 | semidirect |
| 8. C4×Dic76 | C2 | semidirect |
| 130. C19 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927156 | 2 |
| #11927021 | 2 |
| #11926886 | 2 |
| #11926852 | 2 |
| #11926755 | 2 |
| #11926702 | 2 |
| #11926652 | 2 |
| C4×Dic76 | 2 |
| C19×#433 | 2 |
| #3127 | 19 |