(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let H and K be normal subgroups of a group G. Give an example showing that we may have H isomorphic to K while G/H is not isomorphic to G/K.

2. Relevant equations

3. The attempt at a solution

I don't want to look in the back of my book just yet. Can someone give me a hint?

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# Homework Help: Isomorphic quotient groups

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