An exploration has been made on the correspondence of irreducible π-partial characters between a π-separable group and its subgroups.Let G be a π-separable group with π being a set of certain primes

N be a normal subgroup of G and U be a subgroup with π′-index in G so to make G be the product of N and U.Suppose θ is an irreducible π-partial character of N such that the restriction of θ to N∩U(denoted φ′) is also irreducible

then

the character restriction defines a correspondence between the set of irreducible π-partial characters of G over θ and the set of irreducible π-partial characters of N over φ′.This correspondence improves the findings by Isaacs and Navarro.