Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
460 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14564611 | C2 | semidirect |
| 4. #14563380 | C2 | semidirect |
| 5. #14562089 | C2 | semidirect |
| 7. C19×#1566 | C2 | semidirect |
| 10. #11926942 | C4 | semidirect |
| 11. #11926917 | C4 | semidirect |
| 12. #11926895 | C4 | semidirect |
| 13. #11926891 | C4 | semidirect |
| 105. C4×Dic19 | SD16 | semidirect |
| 146. #1566 | D19 | semidirect |
| 229. C19 | #9846 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574194 | 2 |
| #14564611 | 2 |
| #14564462 | 2 |
| #14563380 | 2 |
| #14562089 | 2 |
| #14562085 | 2 |
| C19×#1566 | 2 |
| #9846 | 19 |