Order 4864.
462 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #11926270 | C4 | semidirect |
| 14. C19×#324 | C4 | semidirect |
| 30. C2×C4⋊Dic19 | C8 | semidirect |
| 34. C2×C4×Dic19 | C8 | semidirect |
| 197. #324 | Dic19 | semidirect |
| 236. C19 | #7189 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926270 | 2 |
| #14561864 | 2 |
| C2×C19×#324 | 2 |
| #7189 | 19 |