Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
390 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 119 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×#10597333 | C2 | semidirect |
| 3. #11926874 | C2 | semidirect |
| 4. #11926850 | C2 | semidirect |
| 5. #11926765 | C2 | semidirect |
| 6. #11926702 | C2 | semidirect |
| 8. #11926638 | C2 | semidirect |
| 9. #11926635 | C2 | semidirect |
| 10. #11926594 | C2 | semidirect |
| 174. C19 | #3108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927075 | 2 |
| C2×#10597333 | 2 |
| #11926874 | 2 |
| #11926850 | 2 |
| #11926765 | 2 |
| #11926702 | 2 |
| #11926682 | 2 |
| #11926638 | 2 |
| #11926635 | 2 |
| #11926594 | 2 |
| C19×#480 | 2 |
| #3108 | 19 |