Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
476 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 476 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. #14562056 | C2 | semidirect |
| 5. #14561524 | C2 | semidirect |
| 6. #14561468 | C2 | semidirect |
| 7. C19×#1994 | C2 | semidirect |
| 10. #11926826 | C4 | semidirect |
| 11. #11926821 | C4 | semidirect |
| 12. #11926751 | C4 | semidirect |
| 13. #11926746 | C4 | semidirect |
| 181. #1994 | D19 | semidirect |
| 287. C19 | #8972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573700 | 2 |
| #14572765 | 2 |
| C4×#10597262 | 2 |
| #14562056 | 2 |
| #14561524 | 2 |
| #14561468 | 2 |
| C19×#1994 | 2 |
| #8972 | 19 |