Question: How to Handle Group Action?

Hi,

 

I am trying to figure out a way for Maple to handle group action.

Specifically, I have a set of sets. Each set is has three distinct numbers between 1 and 6.

Under a permutation element from S6, this set should be mapped to another set.

For example [[1,6]] maps {1,3,4} to {3,4,6} (order is not important).

Anybody have a clever way to do this?

 

Regards.

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