Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
480 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #14561521 | C2 | semidirect |
| 5. #14561520 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 7. C19×#1284 | C2 | semidirect |
| 14. #11926411 | C4 | semidirect |
| 15. #11926403 | C4 | semidirect |
| 19. #11926389 | C4 | semidirect |
| 20. #95×D19 | C4 | semidirect |
| 180. #1284 | D19 | semidirect |
| 279. C19 | #8776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566572 | 2 |
| C4×#10597263 | 2 |
| #14561971 | 2 |
| #14561521 | 2 |
| #14561520 | 2 |
| #14561487 | 2 |
| C19×#1284 | 2 |
| #8776 | 19 |