Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 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 |
|---|---|---|
| 1. C2×#10597355 | C2 | semidirect |
| 2. #11927203 | C2 | semidirect |
| 3. #11926928 | C2 | semidirect |
| 4. #11926790 | C2 | semidirect |
| 5. #11926767 | C2 | semidirect |
| 6. #11926702 | C2 | semidirect |
| 7. #11926691 | C2 | semidirect |
| 8. C4×Dic76 | C2 | semidirect |
| 9. C19×#436 | C2 | semidirect |
| 67. Dic76 | D4 | semidirect |
| 121. #436 | D19 | semidirect |
| 153. C19 | #3277 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597355 | 2 |
| #11927203 | 2 |
| #11926928 | 2 |
| #11926790 | 2 |
| #11926767 | 2 |
| #11926702 | 2 |
| #11926691 | 2 |
| C4×Dic76 | 2 |
| C19×#436 | 2 |
| #3277 | 19 |