Abstract
This chapter discusses the applications of the theory of characters. A simple inspection of the character table of a finite group, present in the chapter, can reveal the presence of a normal subgroup. There is also a nontrivial normal subgroup. An inspection of the character table of a group G gives at once a normal subgroup, which is the kernel of an irreducible representation. A permutation group is transitive if for every pair of symbols there is a permutation that takes any one of them into the other. The chapter also presents a few results from the theory of characters.
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