Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
324 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 324 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 |
|---|---|---|
| 3. #11926952 | C2 | semidirect |
| 4. #11926911 | C2 | semidirect |
| 8. #11926850 | C2 | semidirect |
| 9. #11926849 | C2 | semidirect |
| 164. C19 | #3236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927096 | 2 |
| C2×#10597336 | 2 |
| #11926952 | 2 |
| #11926911 | 2 |
| #11926879 | 2 |
| #11926875 | 2 |
| #11926872 | 2 |
| #11926850 | 2 |
| #11926849 | 2 |
| #11926598 | 2 |
| C19×#484 | 2 |
| #3236 | 19 |