Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
326 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #11926949 | C2 | semidirect |
| 4. #11926942 | C2 | semidirect |
| 5. #11926895 | C2 | semidirect |
| 6. #11926895 | C2 | semidirect |
| 8. #11926852 | C2 | semidirect |
| 137. C19 | #3231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| #11926949 | 2 |
| #11926942 | 2 |
| #11926895 | 2 |
| #11926886 | 2 |
| #11926852 | 2 |
| C19×#431 | 2 |
| #3231 | 19 |