Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 2. C2×#10597355 | C2 | semidirect |
| 3. #11927120 | C2 | semidirect |
| 4. #11926560 | C2 | semidirect |
| 5. #11926554 | C2 | semidirect |
| 6. #11926517 | C2 | semidirect |
| 7. C19×#344 | C2 | semidirect |
| 137. #344 | D19 | semidirect |
| 167. C19 | #2009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927344 | 2 |
| C2×#10597355 | 2 |
| #11927120 | 2 |
| #11926560 | 2 |
| #11926554 | 2 |
| #11926517 | 2 |
| C19×#344 | 2 |
| #2009 | 19 |