Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. #11926896 | C2 | semidirect |
| 3. #11926885 | C2 | semidirect |
| 4. #11926821 | C2 | semidirect |
| 5. #11926783 | C2 | semidirect |
| 6. #11926754 | C2 | semidirect |
| 7. #11926704 | C2 | semidirect |
| 8. C4×#64527 | C2 | semidirect |
| 9. D4×C19⋊C8 | C2 | semidirect |
| 10. #11926538 | C2 | semidirect |
| 11. C19×#556 | C2 | semidirect |
| 121. #556 | D19 | semidirect |
| 166. C19 | #3302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927199 | 2 |
| #11926896 | 2 |
| #11926885 | 2 |
| #11926821 | 2 |
| #11926783 | 2 |
| #11926754 | 2 |
| #11926704 | 2 |
| C4×#64527 | 2 |
| D4×C19⋊C8 | 2 |
| #11926538 | 2 |
| C19×#556 | 2 |
| #3302 | 19 |