Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11926882 | C2 | semidirect |
| 3. #11926826 | C2 | semidirect |
| 4. #11926821 | C2 | semidirect |
| 5. #11926751 | C2 | semidirect |
| 6. #11926746 | C2 | semidirect |
| 8. C4×#64528 | C2 | semidirect |
| 9. C4×#64527 | C2 | semidirect |
| 10. #11926597 | C2 | semidirect |
| 11. C19×#533 | C2 | semidirect |
| 132. #533 | D19 | semidirect |
| 179. C19 | #3107 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#64541 | 2 |
| #11926882 | 2 |
| #11926826 | 2 |
| #11926821 | 2 |
| #11926751 | 2 |
| #11926746 | 2 |
| #11926704 | 2 |
| C4×#64528 | 2 |
| C4×#64527 | 2 |
| #11926597 | 2 |
| C19×#533 | 2 |
| #3107 | 19 |