code: def _naive_list_centralizer(self, other, af=False):
      from sympy.combinatorics.perm_groups import PermutationGroup
  
      """
      Return a list of elements for the centralizer of a subgroup/set/element.
  
      Explanation
      ===========
  
      This is a brute force implementation that goes over all elements of the
      group and checks for membership in the centralizer. It is used to
      test ``.centralizer()`` from ``sympy.combinatorics.perm_groups``.
  
      Examples
      ========
  
      >>> from sympy.combinatorics.testutil import _naive_list_centralizer
      >>> from sympy.combinatorics.named_groups import DihedralGroup
      >>> D = DihedralGroup(4)
      >>> _naive_list_centralizer(D, D)
      [Permutation([0, 1, 2, 3]), Permutation([2, 3, 0, 1])]
  
      See Also
      ========
  
      sympy.combinatorics.perm_groups.centralizer
  
      """
      from sympy.combinatorics.permutations import _af_commutes_with
  
      if hasattr(other, "generators"):
          elements = list(self.generate_dimino(af=True))
          gens = [x._array_form for x in other.generators]
          commutes_with_gens = lambda x: all(
              _af_commutes_with(x, gen) for gen in gens
          )
          centralizer_list = []
          if not af:
              for element in elements:
                  if commutes_with_gens(element):
                      centralizer_list.append(
                          Permutation._af_new(element)
                      )
          else:
              for element in elements:
                  if commutes_with_gens(element):
                      centralizer_list.append(element)
          return centralizer_list
      elif hasattr(other, "getitem"):
          return _naive_list_centralizer(
              self, PermutationGroup(other), af
          )
      elif hasattr(other, "array_form"):
          return _naive_list_centralizer(
              self, PermutationGroup([other]), af
          )
  
file_path: sympy/sympy/combinatorics/testutil.py
imports: from sympy.combinatorics import Permutation
  from sympy.combinatorics.util import _distribute_gens_by_base
label_desc: Use image node_id 2 for calling a global function with example usage: _naive_list_centralizer(other, af) and returns: centralizer_list, _naive_list_centralizer, _naive_list_centralizer