Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
452 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14562230 | C2 | semidirect |
| 5. #14561528 | C2 | semidirect |
| 6. #14561508 | C2 | semidirect |
| 7. C19×#1506 | C2 | semidirect |
| 10. #11926836 | C4 | semidirect |
| 11. #11926831 | C4 | semidirect |
| 12. #11926751 | C4 | semidirect |
| 13. #11926746 | C4 | semidirect |
| 174. #1506 | D19 | semidirect |
| 276. C19 | #9159 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573791 | 2 |
| #14572647 | 2 |
| #14563446 | 2 |
| #14562230 | 2 |
| #14561528 | 2 |
| #14561508 | 2 |
| C19×#1506 | 2 |
| #9159 | 19 |