COMPUTING THE PRODUCTS OF CONJUGACY CLASSES FOR SPECIFIC FINITE GROUPS

Suppose G is a nite group, A and B are conjugacy classes of G, and (AB) denotes the number of conjugacy classes contained in AB. The set of all (AB), such that A;B run over conjugacy classes of G, is denoted by (G). The aim of this paper is to compute (G), for G ? {D2n; T4n;U6n; V8n; SD8n} or G is a decomposable group of order 2pq, a group of order 4p or p3, where p and q are primes.