1. The problem statement, all variables and given/known data Let G be a group, and let H be a normal subgroup of G. Must show that every subgroup K' of the factor group G/H has the form K'=K/H, where K is a subgroup of G that contains H. 2. Relevant equations I dont see how to get started. 3. The attempt at a solution I wrote down the definitions of each factor group, G/H and K/H. If K'=K/H, then H must be normal in K.