Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
684 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14563559 | C2 | semidirect |
| 5. #14561542 | C2 | semidirect |
| 6. #14561540 | C2 | semidirect |
| 7. C19×#1784 | C2 | semidirect |
| 144. C22×D19 | #101 | semidirect |
| 187. #1784 | D19 | semidirect |
| 292. C19 | #9505 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572662 | 2 |
| #14566994 | 2 |
| #14563559 | 2 |
| #14561971 | 2 |
| #14561542 | 2 |
| #14561540 | 2 |
| C19×#1784 | 2 |
| #9505 | 19 |