Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
474 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 474 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 |
|---|---|---|
| 2. #14572649 | C2 | semidirect |
| 3. #14562226 | C2 | semidirect |
| 4. #14562142 | C2 | semidirect |
| 5. #14561528 | C2 | semidirect |
| 6. #14561507 | C2 | semidirect |
| 7. C19×#1759 | C2 | semidirect |
| 10. #11926829 | C4 | semidirect |
| 11. #11926824 | C4 | semidirect |
| 12. #11926744 | C4 | semidirect |
| 13. #11926739 | C4 | semidirect |
| 177. #1759 | D19 | semidirect |
| 284. C19 | #9161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573786 | 2 |
| #14572649 | 2 |
| #14562226 | 2 |
| #14562142 | 2 |
| #14561528 | 2 |
| #14561507 | 2 |
| C19×#1759 | 2 |
| #9161 | 19 |