Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
376 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 135 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. #11926854 | C2 | semidirect |
| 4. #11926850 | C2 | semidirect |
| 5. #11926838 | C2 | semidirect |
| 6. #11926828 | C2 | semidirect |
| 52. C2×Dic38 | Q8 | semidirect |
| 172. C19 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| C2×#10597333 | 2 |
| #11926854 | 2 |
| #11926850 | 2 |
| #11926838 | 2 |
| #11926828 | 2 |
| #11926584 | 2 |
| #11926567 | 2 |
| #11926554 | 2 |
| #11926552 | 2 |
| C19×#428 | 2 |
| #3078 | 19 |