Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11927157 | C2 | semidirect |
| 3. #11926917 | C2 | semidirect |
| 4. #11926914 | C2 | semidirect |
| 5. #11926910 | C2 | semidirect |
| 6. #11926791 | C2 | semidirect |
| 7. #11926774 | C2 | semidirect |
| 8. #11926643 | C2 | semidirect |
| 9. #11926631 | C2 | semidirect |
| 10. #11926498 | C2 | semidirect |
| 11. C19×#499 | C2 | semidirect |
| 107. #499 | D19 | semidirect |
| 147. C19 | #3174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927157 | 2 |
| #11927150 | 2 |
| #11926917 | 2 |
| #11926914 | 2 |
| #11926910 | 2 |
| #11926791 | 2 |
| #11926774 | 2 |
| #11926643 | 2 |
| #11926631 | 2 |
| #11926498 | 2 |
| C19×#499 | 2 |
| #3174 | 19 |