Hamming graph $H(6,3)$

Number of vertices:$729$
Diameter:$6$
Intersection array:$\{12,10,8,6,4,2;1,2,3,4,5,6\}$
Spectrum:$12^1 9^{12} 6^{60} 3^{160} 0^{240} (-3)^{192} (-6)^{64}$
Automorphism group:$S_3\text{Wr}S_6$
Distance-transitive:Yes
Primitive




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Last updated: 8 May 2024