[GAP Forum] S4 Symmerty

[yonggukim]

Dear Gap users:

I am not a GAP expert. I have a data file containing a collections of
point sets, for instance,
{{1,2,3,4},{0,2,3,4}}
{{0,2,3,6},{0,1,3,6}}
...
Here a permutation of 0,1,2,3 determines the action on the other points
too. I would like to look those collections of sets which are not related by the
permutation group S4. How can I do it using GAP?

YGK