- #1
Konte
- 90
- 1
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.
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.