Does a non-abelian, non-simple finite gp G exist, such that for most of its normal subgroup N, the quotient G/N is isomorphic to a subgp of G?

This question originates from a recent question of Jafri and its answers. Notice that if G is a finite abelian group, then any quotient gp of G is isomorphism to some subgroup of G. The same is...

22 November 2014 612 3 View