$\mathrm{Fi}_{22}$ graph

This graph is the unique rank-3 strongly regular graph with parameters $(3510,693,180,126)$. This graph is the unique connected graph that is locally the $\mathrm{U}_6(2)$ polar graph. The $\mu$-graphs of this graph are $\mathrm{NO}_6^-(3)$ graphs. This graph is a supergraph of the $\mathrm{NO}_7^{- \perp}(3)$ graph.

Number of vertices:$3510$
Diameter:$2$
Intersection array:$\{693,512;1,126\}$
Spectrum:$693^1 63^{429} (-9)^{3080}$
Automorphism group:$\mathrm{Fi}_{22}.2$
Distance-transitive:Yes
Primitive

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Last updated: 29 July 2024