class_docstr: Names for the transitive subgroups of S6.
code: def get_perm_group(self):
      if self == S6TransitiveSubgroups.C6:
          return CyclicGroup(6)
      elif self == S6TransitiveSubgroups.S3:
          return S3_in_S6()
      elif self == S6TransitiveSubgroups.D6:
          return DihedralGroup(6)
      elif self == S6TransitiveSubgroups.A4:
          return A4_in_S6()
      elif self == S6TransitiveSubgroups.G18:
          return G18()
      elif self == S6TransitiveSubgroups.A4xC2:
          return A4xC2()
      elif self == S6TransitiveSubgroups.S4m:
          return S4m()
      elif self == S6TransitiveSubgroups.S4p:
          return S4p()
      elif self == S6TransitiveSubgroups.G36m:
          return G36m()
      elif self == S6TransitiveSubgroups.G36p:
          return G36p()
      elif self == S6TransitiveSubgroups.S4xC2:
          return S4xC2()
      elif self == S6TransitiveSubgroups.PSL2F5:
          return PSL2F5()
      elif self == S6TransitiveSubgroups.G72:
          return G72()
      elif self == S6TransitiveSubgroups.PGL2F5:
          return PGL2F5()
      elif self == S6TransitiveSubgroups.A6:
          return AlternatingGroup(6)
      elif self == S6TransitiveSubgroups.S6:
          return SymmetricGroup(6)
  
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 1 for calling the S6TransitiveSubgroups obj's underlying member method code with example usage: obj.get_perm_group() and returns: CyclicGroup, S3_in_S6, DihedralGroup, A4_in_S6, G18, A4xC2, S4m, S4p, G36m, G36p, S4xC2, PSL2F5, G72, PGL2F5, AlternatingGroup, SymmetricGroup