Goethals-Seidel graph $\cong$ 2nd subconstituent of 2nd subconsituent of McLaughlin graph

Number of vertices:$105$
Diameter:$2$
Intersection array:$\{32,27;1,12\}$
Spectrum:$32^1 2^{84} (-10)^{20}$
Automorphism group:$\mathrm{Aut}(\mathrm{PSL}(3,4))\cong \mathrm{PSL}(3,4).D_{12}$
Distance-transitive:No
Primitive




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Last updated: 23 February 2019