Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
466 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 466 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. #11926408 | C4 | semidirect |
| 15. #11926406 | C4 | semidirect |
| 17. #11926395 | C4 | semidirect |
| 20. #11926391 | C4 | semidirect |
| 179. #1284 | D19 | semidirect |
| 278. C19 | #8779 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14566603 | 2 |
| C4×#10597263 | 2 |
| #14561971 | 2 |
| #14561521 | 2 |
| #14561520 | 2 |
| #14561487 | 2 |
| C19×#1284 | 2 |
| #8779 | 19 |