This is the unique such graph which is distance-transitive.
Number of vertices: | $64$ |
Diameter: | $4$ |
Intersection array: | $\{8,7,6,1;1,2,7,8\}$ |
Spectrum: | $8^1 (\sqrt{8})^{24} 0^{14} (-\sqrt{8})^{24} (-8)^1$ |
Automorphism group: | order $2^9.3.7$ |
Distance-transitive: | Yes |
Bipartite, Antipodal |