Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
334 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#10597336 | C2 | semidirect |
| 3. #11926944 | C2 | semidirect |
| 4. #11926897 | C2 | semidirect |
| 5. #11926879 | C2 | semidirect |
| 6. #11926875 | C2 | semidirect |
| 8. #11926854 | C2 | semidirect |
| 9. #11926846 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 168. C19 | #3232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927075 | 2 |
| C2×#10597336 | 2 |
| #11926944 | 2 |
| #11926897 | 2 |
| #11926879 | 2 |
| #11926875 | 2 |
| #11926855 | 2 |
| #11926854 | 2 |
| #11926846 | 2 |
| #11926594 | 2 |
| C19×#481 | 2 |
| #3232 | 19 |