\(H\) and \(K\) are two isomorphic subgroups of \(G\). However, the quotient groups are not isomorphic.
isomorphism-of-factors-does-not-imply-isomorphism-of-quotient-groups-image
\(H\) and \(K\) are two isomorphic subgroups of \(G\). However, the quotient groups are not isomorphic.