Bilinear forms graph $\mathrm{H}_2(4,2)$

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




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Last updated: 13 August 2024