Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #11927273 | C2 | semidirect |
| 3. #11926897 | C2 | semidirect |
| 5. #11926846 | C2 | semidirect |
| 6. #11926830 | C2 | semidirect |
| 7. #11926764 | C2 | semidirect |
| 8. #11926668 | C2 | semidirect |
| 9. C4×#64528 | C2 | semidirect |
| 10. SD16×Dic19 | C2 | semidirect |
| 158. C19 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927280 | 2 |
| #11927273 | 2 |
| #11926897 | 2 |
| #11926890 | 2 |
| #11926846 | 2 |
| #11926830 | 2 |
| #11926764 | 2 |
| #11926668 | 2 |
| C4×#64528 | 2 |
| SD16×Dic19 | 2 |
| C19×#460 | 2 |
| #3365 | 19 |