Can someone give me an example of a non-Abelian group $G$ with a normal subgroup $H$ such that $G/H$ is Abelian?
Example of nonAbelian group with a normal subgroup such that the quotient group is Abelian?
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abstract-algebra
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10Pick any abelian group $A$ and any nonabelian group $N$. Then the direct product $G=A\times N$ provides an example with $H=N$. – 2012-05-28