We show that any two split metacyclic groups with the same character tables are isomorphic. We then use this to show that among metacyclic groups that are either 2-groups or are of odd order divisible by at most two primes, that the dihedral and generalized quaternion groups of order 2^n, n = 3, are the only pairs that have the same character tables.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Skabelund, Dane Christian, "Character Tables of Metacyclic Groups" (2013). Theses and Dissertations. 3913.
finite group, metacyclic group, split metacyclic group, character table, p-group