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Please Abstract Algebra and Group actions A benzene molecule is six carbon atoms arranged on the...

Please Abstract Algebra and Group actions

A benzene molecule is six carbon atoms arranged on the vertices of a regular hexagon. How many chemical compounds can be created by attaching either NH2, COOH, or OH to each one of the carbon atoms in a benzene molecule? Two molecules are considered the same if one molecule can be rotated or reflected (acted on by D6) to get the other molecule.

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