Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
338 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 338 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. #11926943 | C2 | semidirect |
| 4. #11926923 | C2 | semidirect |
| 5. #11926913 | C2 | semidirect |
| 8. #11926648 | C2 | semidirect |
| 9. #11926636 | C2 | semidirect |
| 11. C19×#491 | C2 | semidirect |
| 105. #491 | D19 | semidirect |
| 141. C19 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927157 | 2 |
| #11927155 | 2 |
| #11926943 | 2 |
| #11926923 | 2 |
| #11926913 | 2 |
| #11926801 | 2 |
| #11926784 | 2 |
| #11926648 | 2 |
| #11926636 | 2 |
| #11926501 | 2 |
| C19×#491 | 2 |
| #3177 | 19 |