  We consider orbit partitions of groups of automorphisms for the symplectic
graph and apply Godsil-McKay switching. As a result, we find four families of
strongly regular graphs with the same parameters as the symplectic graphs,
including the one discovered by Abiad and Haemers. Also, we prove that switched
graphs are non-isomorphic to each other by considering the number of common
neighbors of three vertices.
