Hi everybody,(adsbygoogle = window.adsbygoogle || []).push({});

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 groupGcomposed of36elements (a non abelian group). When I calculate with GAP the character table ofG, it has18classes 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.

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# I Permutation group and character table

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