Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11926886 | C2 | semidirect |
| 4. #11926886 | C2 | semidirect |
| 5. #11926880 | C2 | semidirect |
| 6. #11926875 | C2 | semidirect |
| 7. #11926586 | C2 | semidirect |
| 8. #11926582 | C2 | semidirect |
| 9. #11926554 | C2 | semidirect |
| 10. C2×#10597273 | C2 | semidirect |
| 167. C19 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927115 | 2 |
| #11927027 | 2 |
| #11926886 | 2 |
| #11926880 | 2 |
| #11926875 | 2 |
| #11926586 | 2 |
| #11926582 | 2 |
| #11926554 | 2 |
| C2×#10597273 | 2 |
| C19×#408 | 2 |
| #3097 | 19 |