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Is X = {[0] 8 , [4] 8, [6] 8 } {[0] 6 , [2] 6 , [4] 6 } a subgroup of Z8 Z6?

Is X = {[0]₈, [4]_8, [6]₈} {[0]₆, [2]₆, [4]₆} a subgroup of Z8 Z6?

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