Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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. #11926888 | C2 | semidirect |
| 4. #11926887 | C2 | semidirect |
| 5. #11926881 | C2 | semidirect |
| 6. #11926876 | C2 | semidirect |
| 7. #11926587 | C2 | semidirect |
| 8. #11926552 | C2 | semidirect |
| 9. C2×#10597273 | C2 | semidirect |
| 11. C19×#427 | C2 | semidirect |
| 129. #427 | D19 | semidirect |
| 167. C19 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927120 | 2 |
| #11927024 | 2 |
| #11926888 | 2 |
| #11926887 | 2 |
| #11926881 | 2 |
| #11926876 | 2 |
| #11926587 | 2 |
| #11926552 | 2 |
| C2×#10597273 | 2 |
| #11926510 | 2 |
| C19×#427 | 2 |
| #3097 | 19 |