It has degree 3, with 54 vertices and 81 edges.
It has girth 8, diameter 6 and radius 6.
Its symmetry group has 1296 elements.
It is bipartite.
It is Hamiltonian.
It is semi-symmetric.
The smallest cubic semi-symmetric graph
http://en.wikipedia.org/wiki/Foster_graph
For copyright details of Wikipedia images see Gray_graph.svg Gray_graph_hamiltonian.svg.
