A general method to calculate all irreducible representations of a finite group

A so-called stochastic method is introduced which can be used to decompose the reducible representations of any finite group into irreducible representations. In this way, the regular representation of a finite group is reduced completely to obtain all of the irreducible representations of the group. It also induces a new approach to calculate the character table of a finite group. Based on this method, these calculations or decompositions can be performed by means of a computer.