5-cube $Q_5 \cong H(5,2)$

Number of vertices:$32$
Diameter:$5$
Intersection array:$\{5,4,3,2,1; 1,2,3,4,5\}$
Spectrum:$5^1 3^5 1^{10} (-1)^{10} (-3)^5 (-5)^1$
Automorphism group:$\mathbb{Z}_2\text{Wr}S_5$
Distance-transitive:Yes
Bipartite, Antipodal




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Last updated: 4 February 2017