On finite $\pi$-solvable groups with bicyclic Sylow subgroups

The group is called a bicyclic group if it is the product of two cyclic subgroups. It is proved that the $\pi$-solvable group with bicyclic Sylow $\pi$-subgroups for any $p\in\pi$ is at most 6 and if $2\notin\pi$, then the derived $\pi$-length of a $\pi$-solvable group with bicyclic Sylow $\pi$-subgroups for any $p\in\pi$ is at most 3.