The complement of this graph is the Kneser graph $\mathrm{K}(12,2)$.
Number of vertices: | $66$ |
Diameter: | $2$ |
Intersection array: | $\{20,9;1,4\}$ |
Spectrum: | $20^1 8^{11} (-2)^{54}$ |
Automorphism group: | $\mathrm{S}_{12}$ |
Distance-transitive: | Yes |
Primitive |