  The concept of "table algebra" was introduced by Z Arad anf H. Blau in order
to study in a uniform way properties of products of conjugacy classes and of
irreducible characters of a finite group, Except for certain cases which remain
open, Normalized Table Algebras Generated by a Faithful Non- real Element of
degree 3. As application we classified finite groups with a faithful non-real
irreducible character of dimension 3 without using character theory of finite
groups.
