It has degree 7, with 50 vertices and 175 edges.
It has girth 5, diameter 2 and radius 2.
Its symmetry group is PSU(3,52):2, with 252000 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
https://en.wikipedia.org/wiki/Hoffman%E2%80%93Singleton_graph
For copyright details of Wikipedia images see Hoffman_singleton_graph_circle2.gif Hoffman-Singleton_graph.svg.
