Hamming graph $H(5,3)$

Number of vertices:$243$
Diameter:$5$
Intersection array:$\{10,8,6,4,2;1,2,3,4,5\}$
Spectrum:$10^1 7^{10} 4^{40} 1^{80} (-2)^{80} (-5)^{32}$
Automorphism group:$S_3\text{Wr}S_5$
Distance-transitive:Yes
Primitive




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Last updated: 28 February 2024