Other names: Benson graph 126-vertex Iofinova-Ivanov graph
It has degree 3, with 126 vertices and 189 edges.
It has girth 0, diameter 0 and radius 0.
Its symmetry group is G2(2), with 12096 elements.
It is bipartite.
It is not Hamiltonian.
It is semi-symmetric.
http://mathworld.wolfram.com/Iofinova-IvanovGraphs.html