Hi everybody, I work currently with permutation group, and with the good advice of this forum I discover GAP software (https://www.gap-system.org/) which is an excellent tools for working with group. My question is about something that is too strange for me: I have a permutation group G composed of 36 elements (a non abelian group). When I calculate with GAP the character table of G, it has 18 classes of congugacy, each one with order of: $$1, 4, 1, 4, 9, 9, 2, 2, 2, 2, 3, 6, 3, 6, 3, 6, 3, 6$$ It implicates now that G has ##2\times36=72## elements !!! Is it normal or have I missed something? Thank you much. Konte.