This graph is the first subconstituent of the $\mathrm{NO}_5^{- \perp}(5)$ graph.
| Number of vertices: | $65$ |
| Diameter: | $3$ |
| Intersection array: | $\{10,6,4;1,2,5\}$ |
| Spectrum: | $10^1 5^{13} 0^{26} (-3)^{25}$ |
| Automorphism group: | $\mathrm{P} \Sigma \mathrm{L}(2,25)$ |
| Distance-transitive: | Yes |
| Primitive |