Order 4864.
918 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #11926299 | C4 | semidirect |
| 17. C2×C4×C8×C19 | C4 | semidirect |
| 51. C19⋊#95 | C8 | semidirect |
| 185. C2×C4×C8 | Dic19 | semidirect |
| 234. C19 | #10797 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926299 | 2 |
| C2×#11926298 | 2 |
| C4×C19⋊#95 | 2 |
| C22×C4×C8×C19 | 2 |
| #10797 | 19 |