This graph is the unique rank-3 $\mathrm{SRG}(120,56,28,24)$. It is the complement of the $\mathrm{NO}_8^+(2)$ graph. It is cospectral with the merged Johnson graph $J(10,3)$.
Number of vertices: | $120$ |
Diameter: | $2$ |
Intersection array: | $\{56,27;1,24\}$ |
Spectrum: | $56^1 8^{35} (-4)^{84}$ |
Automorphism group: | $\mathrm{PSO}^+(8,2) \cong \mathrm{O}^+(8,2):2$ |
Distance-transitive: | Yes |
Primitive |