Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
716 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14563571 | C2 | semidirect |
| 5. #14563569 | C2 | semidirect |
| 6. #14561502 | C2 | semidirect |
| 7. C19×#1289 | C2 | semidirect |
| 19. #11926465 | C4 | semidirect |
| 20. #11926457 | C4 | semidirect |
| 206. #1289 | D19 | semidirect |
| 317. C19 | #9471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572661 | 2 |
| #14567001 | 2 |
| #14563620 | 2 |
| #14563571 | 2 |
| #14563569 | 2 |
| #14561502 | 2 |
| C19×#1289 | 2 |
| #9471 | 19 |