1. The problem statement, all variables and given/known data Let [itex]G[/itex] be a group such that [itex]|G|>6[/itex]. Then there are at least 4 conjugacy classes in G 2. Relevant equations 3. The attempt at a solution Well, I tried by contradiction by using the group of order 7, which must be isomorphic to the cyclic group of order 7, which has 7 conjugacy classes, but I feel that's VERY lacking.