Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
396 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 396 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. #14563386 | C2 | semidirect |
| 3. #14562251 | C2 | semidirect |
| 5. #14562148 | C2 | semidirect |
| 7. C19×#1568 | C2 | semidirect |
| 10. #11926942 | C4 | semidirect |
| 11. #11926917 | C4 | semidirect |
| 12. #11926895 | C4 | semidirect |
| 13. #11926891 | C4 | semidirect |
| 156. #1568 | D19 | semidirect |
| 250. C19 | #9766 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574194 | 2 |
| #14563386 | 2 |
| #14562251 | 2 |
| #14562247 | 2 |
| #14562148 | 2 |
| #14562144 | 2 |
| C19×#1568 | 2 |
| #9766 | 19 |