Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
424 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 2. #14572622 | C2 | semidirect |
| 3. #14562181 | C2 | semidirect |
| 4. #14562051 | C2 | semidirect |
| 5. #14561499 | C2 | semidirect |
| 6. #14561497 | C2 | semidirect |
| 7. C19×#1521 | C2 | semidirect |
| 9. #11926939 | C4 | semidirect |
| 10. #11926934 | C4 | semidirect |
| 11. #11926914 | C4 | semidirect |
| 12. #11926910 | C4 | semidirect |
| 180. #1521 | D19 | semidirect |
| 292. C19 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574668 | 2 |
| #14572622 | 2 |
| #14562181 | 2 |
| #14562051 | 2 |
| #14561499 | 2 |
| #14561497 | 2 |
| C19×#1521 | 2 |
| #9370 | 19 |