Other name: F090A
It has degree 3, with 90 vertices and 135 edges.
It has girth 10, diameter 8 and radius 8.
Its symmetry group has 4320 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 5-arc-transitive.
http://en.wikipedia.org/wiki/Foster_graph
For copyright details of Wikipedia image see Foster_graph_colored.svg.