Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
414 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #14562199 | C2 | semidirect |
| 5. #14561533 | C2 | semidirect |
| 6. #14561517 | C2 | semidirect |
| 7. C19×#1531 | C2 | semidirect |
| 9. #11926950 | C4 | semidirect |
| 10. #11926936 | C4 | semidirect |
| 11. #11926912 | C4 | semidirect |
| 12. #11926906 | C4 | semidirect |
| 175. #1531 | D19 | semidirect |
| 286. C19 | #9431 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574338 | 2 |
| #14572629 | 2 |
| #14562199 | 2 |
| #14562174 | 2 |
| #14561533 | 2 |
| #14561517 | 2 |
| C19×#1531 | 2 |
| #9431 | 19 |