code: def test_S6_transitive_subgroups():
      """
      Test enough characteristics to distinguish all 16 transitive subgroups.
      """
      ts = S6TransitiveSubgroups
      A6 = AlternatingGroup(6)
      for name, alt, order, is_isom, not_isom in [
          (ts.C6, False, 6, CyclicGroup(6), None),
          (ts.S3, False, 6, SymmetricGroup(3), None),
          (ts.D6, False, 12, None, None),
          (ts.A4, True, 12, None, None),
          (ts.G18, False, 18, None, None),
          (ts.A4xC2, False, 24, None, SymmetricGroup(4)),
          (ts.S4m, False, 24, SymmetricGroup(4), None),
          (ts.S4p, True, 24, None, None),
          (ts.G36m, False, 36, None, None),
          (ts.G36p, True, 36, None, None),
          (ts.S4xC2, False, 48, None, None),
          (ts.PSL2F5, True, 60, None, None),
          (ts.G72, False, 72, None, None),
          (ts.PGL2F5, False, 120, None, None),
          (ts.A6, True, 360, None, None),
          (ts.S6, False, 720, None, None),
      ]:
          for G in get_versions_of_S6_subgroup(name):
              assert G.is_transitive()
              assert G.degree == 6
              assert G.is_subgroup(A6) is alt
              assert G.order() == order
              if is_isom:
                  assert is_isomorphic(G, is_isom)
              if not_isom:
                  assert not is_isomorphic(G, not_isom)
  
imports: from sympy.combinatorics.galois import S4TransitiveSubgroups, S5TransitiveSubgroups, S6TransitiveSubgroups, find_transitive_subgroups_of_S6
  from sympy.combinatorics.homomorphisms import is_isomorphic
  from sympy.combinatorics.named_groups import SymmetricGroup, AlternatingGroup, CyclicGroup
label_desc: Use image node_id 4 for calling a global function with example usage: test_S6_transitive_subgroups() without return types