[GAP Forum] Orbits under conjugation by elements of centralizer

[Frederic Vanhove]

Dear members of the forum,

I am considering a group G and a subset S. If H denotes the centralizer 
of S in G, how can I consider the action on S under conjugation by 
elements of H?

For instance, how could I obtain the corresponding partition of S into 
orbits?

The command ConjugacyClasses considers the action of the full group on 
itself.

Many thanks,
Kind regards,
Frédéric