Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
770 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 770 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 |
|---|---|---|
| 2. C2×#11926700 | C2 | semidirect |
| 4. #14564619 | C2 | semidirect |
| 6. #14561482 | C2 | semidirect |
| 7. C19×#1787 | C2 | semidirect |
| 200. #1787 | D19 | semidirect |
| 309. C19 | #9956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574393 | 2 |
| C2×#11926700 | 2 |
| #14567289 | 2 |
| #14564619 | 2 |
| #14562202 | 2 |
| #14561482 | 2 |
| C19×#1787 | 2 |
| #9956 | 19 |