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About: Binary octahedral group     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatBinaryPolyhedralGroupsyago:Abstraction100002137yago:Group100031264 New Facet based on Instances of this Class

In mathematics, the binary octahedral group, name as 2O or ⟨2,3,4⟩ is a certain nonabelian group of order 48. It is an extension of the chiral octahedral group O or (2,3,4) of order 24 by a cyclic group of order 2, and is the preimage of the octahedral group under the 2:1 covering homomorphism of the special orthogonal group by the spin group. It follows that the binary octahedral group is a discrete subgroup of Spin(3) of order 48.