12-cube Q_12 | DistanceRegular.org

Processing math: 100%

12-cube $Q_{12} \cong H(12,2)$

Number of vertices:	$4096$
Diameter:	$12$
Intersection array:	$\{12,11,10,9,8,7,6,5,4,3,2,1;1,2,3,4,5,6,7,8,9,10,11,12\}$
Spectrum:	$12^1 10^{12} 8^{66} 6^{220} 4^{495} 2^{792} 0^{924} (-2)^{792} (-4)^{495} (-6)^{220} (-8)^{66} (-10)^{12} (-12)^1$
Automorphism group:	$\mathbb{Z}_2\text{Wr}\mathrm{S}_{12}$
Distance-transitive:	Yes
Bipartite, Antipodal

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Last updated: 26 March 2025