This is one of two rank-3 strongly regular graphs with parameters $(256,45,16,6)$, the other graph being the halved folded 10-cube.
Number of vertices: | $256$ |
Diameter: | $2$ |
Intersection array: | $\{45,28;1,6\}$ |
Spectrum: | $45^1 13^{45} (-3)^{210}$ |
Automorphism group: | $2^8:\left(\mathrm{A}_8 \times \mathrm{S}_3\right)$ |
Distance-transitive: | Yes |
Primitive |