Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. C2×#10597315 | C2 | semidirect |
| 2. #11926954 | C2 | semidirect |
| 3. #11926903 | C2 | semidirect |
| 4. #11926872 | C2 | semidirect |
| 6. #11926839 | C2 | semidirect |
| 7. #11926834 | C2 | semidirect |
| 8. #11926601 | C2 | semidirect |
| 147. C19 | #3238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597315 | 2 |
| #11926954 | 2 |
| #11926903 | 2 |
| #11926872 | 2 |
| #11926855 | 2 |
| #11926839 | 2 |
| #11926834 | 2 |
| #11926601 | 2 |
| C19×#529 | 2 |
| #3238 | 19 |