### Cosets Generated by Product of Generators

I have created the following ~~group:
~~group:

```
sage: F.<x,y> = FreeGroup()
sage: G = F / [x^3, y^2,
```~~(x~~*y)^5]
**(x*y)^5]
sage: G
Finitely presented group < x, y | x^3, y^2, *~~(x~~y)^5 >(x*y)^5 >

I would like to list the distinct cosets generated by <x*y>. I think there should be 12, but I have tried different code with no luck.