diff --git a/src/sage/groups/perm_gps/permgroup.py b/src/sage/groups/perm_gps/permgroup.py
index de406a36e62..fb01ad65ba0 100644
--- a/src/sage/groups/perm_gps/permgroup.py
+++ b/src/sage/groups/perm_gps/permgroup.py
@@ -2355,7 +2355,7 @@ def _order(self):
         return Integer(len(unique)).factorial()
 
     @cached_method
-    def order(self):
+    def cardinality(self):
         """
         Return the number of elements of this group.
 
@@ -2391,8 +2391,6 @@ def order(self):
 
         return Integer(self.gap().Size())
 
-    cardinality = order
-
     def random_element(self):
         """
         Return a random element of this group.