This graph is the unique rank-3 $\mathrm{SRG}(120,63,30,36)$. It is a Fischer graph. The first subconstituent of this graph is the $\mathrm{Sp}_6(2)$ graph $\cong \mathrm{O}_7(2)$ graph. The complement of this graph is the unique rank-3 $\mathrm{SRG}(120,56,28,24)$.
Number of vertices: | $120$ |
Diameter: | $2$ |
Intersection array: | $\{63,32;1,36\}$ |
Spectrum: | $63^1 3^{84} (-9)^{35}$ |
Automorphism group: | $\mathrm{PSO}^+(8,2) \cong \mathrm{O}^+(8,2):2$ |
Distance-transitive: | Yes |
Primitive |