This graph is the unique rank-3 strongly regular graph with parameters $(378,117,36,36)$. The local graph of this graph is the $\mathrm{NO}_6^+(3)$ graph. This graph is the local graph of the $\mathrm{NO}_8^-(3)$ graph.
Number of vertices: | $378$ |
Diameter: | $2$ |
Intersection array: | $\{117,80;1,36\}$ |
Spectrum: | $117^1 9^{182} (-9)^{195}$ |
Automorphism group: | $\mathrm{PSO}(7,3) \cong \mathrm{O}_7(3):2$ |
Distance-transitive: | Yes |
Primitive |