On 05/22/95 at 11:13:00 Martin Schoenert said:
GAP's 'NumberConjugacyClasses' follows the general usage in group theory.
The conjugacy class of an element <g> of <G> is the set of elements <h>
that are G-conjugated to <g> (i.e., there exists an element <x> in <G>,
such that <x>^-1 * <g> * <x> = <h>).
Just to give an example that I am familiar with, suppose the group
in question were M itself. Then, NumberConjugacyClasses should yield
10, because the 48 elements in M yield 10 conjugacy classes under
M-conjugation. If anybody who has GAP also has defined M, you
might give it a try.
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