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Abstract Algebra

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Subgroups of $S_5$

ABSALG-XNVD48

Which of the following subgroups of $S_5$ are not isomorphic to a subgroup of $S_4$?

A

Subgroup generated by $(12),(45)$

B

Subgroup generated by $(12), (1234)$

C

Subgroup generated by $(12345)$

D

None of the above