Computational methods for finding the character table of a finite group require a stock of reducible characters and techniques for decomposing these characters into irreducible characters. A method for generating reducible characters from a representation of a group is proposed. Several new techniques for computing the irreducible decompositions of a set of characters are given; these techniques extend earlier results of Conway and M. Guy.

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Journal Journal of Symbolic Computation
Atkinson, M.D., & Hassan, R.A. (1986). On the computation of group characters. Journal of Symbolic Computation, 2(1), 45–50. doi:10.1016/S0747-7171(86)80011-6