Order 4864.
850 conjugacy classes of subgroups.
The subgroup lattice has 380 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #11926303 | C4 | semidirect |
| 16. C4×C4⋊C4×C19 | C4 | semidirect |
| 17. C4×C4⋊C4×C19 | C4 | semidirect |
| 193. C4×C4⋊C4 | Dic19 | semidirect |
| 194. C4×C4⋊C4 | Dic19 | semidirect |
| 249. C19 | #10808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926303 | 2 |
| #14563329 | 2 |
| C4×C19⋊#95 | 2 |
| C4×C19×#117 | 2 |
| #10808 | 19 |