By an elementary and self-contained proof,we classify the finite groups with property P4 ,where P4is the property every prime divides the sizes of at most 3 conjugacy classes.

• 利用初等且自包含的证明；给出了具有P4性质的有限群分类；这里的P4性质指的是:每个素数至多能整除3个共轭类的长度.