Order 4864.
590 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #14561501 | C2 | semidirect |
| 7. #11926597 | C4 | semidirect |
| 8. #11926597 | C4 | semidirect |
| 20. C19×#432 | C4 | semidirect |
| 26. C4×M16×C19 | C4 | semidirect |
| 49. C19×#97 | C2×C4 | semidirect |
| 62. C4×C19⋊C8 | C2×C4 | semidirect |
| 183. #432 | Dic19 | semidirect |
| 194. C4×M16 | Dic19 | semidirect |
| 235. #97 | C2×Dic19 | semidirect |
| 244. C19 | #7975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572268 | 2 |
| C2×#11926412 | 2 |
| #14561501 | 2 |
| C19×#2920 | 2 |
| #7975 | 19 |