  A classical theorem due to Brauer and Witt implies that every simple
component of the rational group algebra QG of a finite group G is Brauer
equivalent to a cyclotomic algebra containing Q in its centre. The precise
description of this cyclotomic algebra is not available from the proof of the
Brauer-Witt theorem and it has been a problem of interest to determine the same
in view of its central role in the study of central simple algebras. In this
paper, an approach using Shoda pair theory is described, which is quite
efficient from computational perspective.
