Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
450 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 3. #14562229 | C2 | semidirect |
| 4. #14562146 | C2 | semidirect |
| 5. #14561528 | C2 | semidirect |
| 6. #14561507 | C2 | semidirect |
| 10. #11926839 | C4 | semidirect |
| 11. #11926834 | C4 | semidirect |
| 12. #11926754 | C4 | semidirect |
| 13. #11926749 | C4 | semidirect |
| 276. C19 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573797 | 2 |
| #14572655 | 2 |
| #14562229 | 2 |
| #14562146 | 2 |
| #14561528 | 2 |
| #14561507 | 2 |
| C19×#1759 | 2 |
| #9160 | 19 |