Word Count : 74

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Consider the group (G=S_3), the symmetric group on three elements, which is non-commutative. Let (H={e,(123),(132)}), where (e) is ______ _____ ___ ____ __________ ___ _________ _____ _______ ____ ________.
_________ __________ ___ ___ _____ ________ ____ ______ ________ _______ _____.
_________ __________ _______ __________ _____ _______ ____ _______ ___ _______.
_________ ____ ____ __________ _____ ______ ____.
_________ ____ _____ ________ ____ ____ ___ ____ _____ ________.
__________ _________ ________ ____ ______ ___ ___.
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