After proving the following results in[1]. 1. If a finite group G satisfies (|P(G)|

p)=1

then G is a p-solvable group. 2. If a finite group G is p-supersolvable

then (|P(G)|

p)=1

The Auther of[1] has ever guessed:"If a finite group G is p-solvable

then(|P(G)|

p)=1". In this paper

a contraexample is constructed

Furthemore a class of finite groups between p-supersolvable aud p-solvable is offered.