Hamming graph $H(4,7)$

Number of vertices:$2401$
Diameter:$4$
Intersection array:$\{24,18,12,6;1,2,3,4\}$
Spectrum:$24^1 17^{24} 10^{216} 3^{864} (-4)^{1296}$
Automorphism group:$S_7\text{Wr}S_4$
Distance-transitive:Yes
Primitive




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Last updated: 7 May 2024