Other name: F056B
It has degree 3, with 56 vertices and 84 edges.
It has girth 7, diameter 6 and radius 6.
Its symmetry group is PGL(2,7), with 336 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 2-arc-transitive.
Its distance-list is 1,3,6,12,15,18,1.
https://en.wikipedia.org/wiki/Klein_graphs
cubic Klein graph is the skeleton of the Klein map
For copyright details of Wikipedia image see Klein_graph.svg.