The markaracter table of a finite group G is a matrix obtained from the mark table of G in which we select rows and columns corresponding to cyclic subgroups of G. This concept was introduced by a Japanese chemist Shinsaku Fujita in the context of stereochemistry and enumeration of molecules. In this note, the markaracter table of generalized quaternion groups and finite groups of order pqr, p, q and r are prime numbers and p ≥ q ≥ r, are computed.