The halved graph is the Grassmann graph $J_{2}(5,2)$. Note that this is not the bipartite double of $J_{2}(5,2)$.
Number of vertices: | $310$ |
Diameter: | $5$ |
Intersection array: | $\{7,6,6,4,4;1,1,3,3,7\}$ |
Spectrum: | $7^1 (3 \sqrt{2})^{30} 2^{124} (-2)^{124} (-3 \sqrt{2})^{30} (-7)^1$ |
Automorphism group: | $\mathrm{PSL}(5,2):2$ |
Distance-transitive: | Yes |
Bipartite |
Acknowledgement: contributed by Finnegan Carroll and Mark MacLean.