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This book deals with representation of some p-groups using the character table. Conjugacy class of the groups considered were discussed with regard to their entries in the character table. Some of the entries are either complex conjugate or real valued depending on their conjugacy classes. Moreover, groups of order 2^n for 3 n 6 are non-abelian and not simple while group of orders n 2 are abelian. Groups Algorithms and Programming (GAP) version 4.4.12 was applied to validate of the results obtained.