Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
686 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 686 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 |
|---|---|---|
| 2. #14566388 | C2 | semidirect |
| 4. #14562167 | C2 | semidirect |
| 5. #14561543 | C2 | semidirect |
| 6. #14561487 | C2 | semidirect |
| 11. #11926700 | C4 | semidirect |
| 12. #11926695 | C4 | semidirect |
| 351. C19 | #9524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572895 | 2 |
| #14566388 | 2 |
| #14563579 | 2 |
| #14562167 | 2 |
| #14561543 | 2 |
| #14561487 | 2 |
| C19×#1782 | 2 |
| #9524 | 19 |