Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
742 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 742 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 1. #14574393 | C2 | semidirect |
| 2. #14572895 | C2 | semidirect |
| 4. #14561998 | C2 | semidirect |
| 5. #14561994 | C2 | semidirect |
| 6. #14561512 | C2 | semidirect |
| 7. C19×#1780 | C2 | semidirect |
| 214. #1780 | D19 | semidirect |
| 332. C19 | #9975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574393 | 2 |
| #14572895 | 2 |
| #14572887 | 2 |
| #14561998 | 2 |
| #14561994 | 2 |
| #14561512 | 2 |
| C19×#1780 | 2 |
| #9975 | 19 |