Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
472 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14561515 | C2 | semidirect |
| 5. #14561513 | C2 | semidirect |
| 6. #14561502 | C2 | semidirect |
| 7. C19×#1289 | C2 | semidirect |
| 14. #11926411 | C4 | semidirect |
| 15. #11926406 | C4 | semidirect |
| 18. #11926391 | C4 | semidirect |
| 19. #11926389 | C4 | semidirect |
| 189. #1289 | D19 | semidirect |
| 294. C19 | #8763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566577 | 2 |
| #14563620 | 2 |
| #14561951 | 2 |
| #14561515 | 2 |
| #14561513 | 2 |
| #14561502 | 2 |
| C19×#1289 | 2 |
| #8763 | 19 |