Order 4864.
562 conjugacy classes of subgroups.
The subgroup lattice has 362 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #11926601 | C4 | semidirect |
| 8. #11926597 | C4 | semidirect |
| 24. C19×#423 | C4 | semidirect |
| 26. C4×M16×C19 | C4 | semidirect |
| 189. #423 | Dic19 | semidirect |
| 193. C4×M16 | Dic19 | semidirect |
| 243. C19 | #8106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572268 | 2 |
| #14566033 | 2 |
| #14561540 | 2 |
| C19×#2920 | 2 |
| #8106 | 19 |