Build the Cayley graph of this group on a given subset S2 – Cay(Γ2,S2),

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Γ2 = C5 ×S3, S2 = {(3,(1,2,3)),(2,(3,2,1)),(1,(1,2)),(4,(1,2))}.

my code G = PermutationGroup(['(3,(1,2,3))','(2,(3,2,1))','(1,(1,2))','(4,(1,2))']) G someone tell me how to set the group please code