Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
520 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 520 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. #14561965 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561540 | C2 | semidirect |
| 7. C19×#1463 | C2 | semidirect |
| 195. #1463 | D19 | semidirect |
| 305. C19 | #9517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572662 | 2 |
| #14568982 | 2 |
| #14561971 | 2 |
| #14561965 | 2 |
| #14561542 | 2 |
| #14561540 | 2 |
| C19×#1463 | 2 |
| #9517 | 19 |