Consider a group G with 4 elements, {W, X, Y, Z). It uses the operator #...

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Consider a group G with 4 elements, {W, X, Y, Z). It uses the operator # defined by the table # W X Y N W W X Y Z X X W Z Y Y Y Z W X Z Z Y X W Is this an abelian group? If the answer is yes show how it satisfies all 5 conditions. If the answer is no show all of the conditions it violates. Consider a group G with 4 elements, {W, X, Y, Z). It uses the operator # defined by the table # W X Y N W W X Y Z X X W Z Y Y Y Z W X Z Z Y X W Is this an abelian group? If the answer is yes show how it satisfies all 5 conditions. If the answer is no show all of the conditions it violates.