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see this Possible subgroups for S4 are A4,D4,K4,S3,Z4,Z3,Z2. Option 2 is not possible because H will be generated by only {(123),(12)},{(124),(12)},{(134),(13)},{(234),(23)}. Option 3 is not possible because only abelian subgroups of S4 are K4. Therefore only option A is correct.