Question: Let H={e,( 1 4 ? 2 3 ? 3 2 ? 4 1 ? ),( 1 2 ? 2 1 ? 3 4 ? 4

Let H={e,( 1 4 ? 2 3 ? 3 2 ? 4 1 ? ),( 1 2 ? 2 1 ? 3 4 ? 4 3 ? ),( 1 3 ? 2 4 ? 3 1 ? 4 2 ? )} where e is the identity permutation. Determine whether or not H is a normal subgroup of S 4 ? .

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