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 Spin ( 3 ) → SO ( 3 ) {\displaystyle \operatorname {Spin} (3)\to \operatorname {SO} (3)} of the special orthogonal group by the spin group.
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 Spin ( 3 ) → SO ( 3 ) {\displaystyle \operatorname {Spin} (3)\to \operatorname {SO} (3)} of the special orthogonal group by the spin group.
Source: Wikipedia "Binary octahedral group" · CC BY-SA 4.0
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