diff --git a/src/sage/groups/perm_gps/permgroup.py b/src/sage/groups/perm_gps/permgroup.py
index 6d9c0e7fed4..de406a36e62 100644
--- a/src/sage/groups/perm_gps/permgroup.py
+++ b/src/sage/groups/perm_gps/permgroup.py
@@ -2354,6 +2354,7 @@ def _order(self):
         # Compute the order.
         return Integer(len(unique)).factorial()
 
+    @cached_method
     def order(self):
         """
         Return the number of elements of this group.