Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11927267 | C2 | semidirect |
| 3. #11926890 | C2 | semidirect |
| 4. #11926867 | C2 | semidirect |
| 5. #11926830 | C2 | semidirect |
| 6. #11926770 | C2 | semidirect |
| 7. #11926703 | C2 | semidirect |
| 8. C4×#64528 | C2 | semidirect |
| 9. #11926609 | C2 | semidirect |
| 10. #11926537 | C2 | semidirect |
| 11. C19×#460 | C2 | semidirect |
| 129. #460 | D19 | semidirect |
| 168. C19 | #3304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927267 | 2 |
| #11927214 | 2 |
| #11926890 | 2 |
| #11926867 | 2 |
| #11926830 | 2 |
| #11926770 | 2 |
| #11926703 | 2 |
| C4×#64528 | 2 |
| #11926609 | 2 |
| #11926537 | 2 |
| C19×#460 | 2 |
| #3304 | 19 |