code: def S3_in_S6():
      """
      Return a representation of S3 as a transitive subgroup of S6.
  
      Notes
      =====
  
      The representation is found by viewing the group as the symmetries of a
      triangular prism.
  
      """
      G = PermutationGroup(
          Permutation(0, 1, 2)(3, 4, 5), Permutation(0, 3)(2, 4)(1, 5)
      )
      set_symmetric_group_properties(G, 3, 6)
      return G
  
imports: from collections import defaultdict
  from enum import Enum
  import itertools
  from sympy.combinatorics.named_groups import SymmetricGroup, AlternatingGroup, CyclicGroup, DihedralGroup, set_symmetric_group_properties, set_alternating_group_properties
  from sympy.combinatorics.perm_groups import PermutationGroup
  from sympy.combinatorics.permutations import Permutation
label_desc: Use image node_id 3 for calling a global function with example usage: S3_in_S6() and returns: G