In mathematical finite group theory, an exceptional character of a group is a character related in a certain way to a character of a subgroup. They were introduced by {harvtxt|Suzuki|1955|loc=p. 663}, based on ideas due to Brauer in {harv|Brauer|Nesbitt|1941}. ==Definition== Suppose that H is a subgroup of a finite group G, and C1, ..., Cr are som...