University of Isfahan International Journal of Group Theory 2251-7650 2 2 2013 06 01 On the number of the irreducible characters of factor groups 19 24 1825 10.22108/ijgt.2013.1825 EN Amin Saeidi Tarbiat Moallem University Journal Article 2012 06 04 ‎Let $G$ be a finite group and let $N$ be a normal subgroup of $G$‎. ‎Suppose that ${\rm{Irr}} (G | N)$ is the set of the irreducible characters of $G$ that contain $N$ in their kernels‎. ‎In this paper‎, ‎we classify solvable groups $G$ in which the set $\mathcal{C} (G) = \{{\rm{Irr}} (G | N) | 1 \ne N \trianglelefteq G \}$ has at most three elements‎. ‎We also compute the set $\mathcal{C}(G)$ for such groups‎. Irreducible characters Conjugacy classes minimal normal subgroups Frobenius groups https://ijgt.ui.ac.ir/article_1825_6001fd72971d120567ffe1fb9aabb3b8.pdf