Question: Find four different subgroups of S4 isomorphic to S3, and nine isomorphic to S. Are these isomorphic subgroups mutually conjugate?

Find four different subgroups of S4 isomorphic to S3, and nine isomorphic

Find four different subgroups of S4 isomorphic to S3, and nine isomorphic to S. Are these isomorphic subgroups mutually conjugate?

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My approach is since S31123132122313 just take the groups of permutations on 123124134234 obviously they are all subgroups of S4 To find the isomorphi... View full answer

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