A characterization of PSL(2,q), q = 5,7
  In this short note we prove that the finite non-abelian simple groups PSL(2,q), where q = 5,7, are determined by their posets of classes of isomorphic subgroups. In particular, this disproves the conjecture in the end of [5]. 
Marius Tarnauceanu
math.GR