diff --git a/cluster-autoscaler/simulator/drainability/rules/replicacount/rule.go b/cluster-autoscaler/simulator/drainability/rules/replicacount/rule.go
index e03c6d365e580e01e0471edef7f9dce389d823cc..15d408dd7c4c07c46fa8f914c9f2771ebd0c8d9d 100644
--- a/cluster-autoscaler/simulator/drainability/rules/replicacount/rule.go
+++ b/cluster-autoscaler/simulator/drainability/rules/replicacount/rule.go
@@ -110,6 +110,10 @@ func (r *Rule) Drainable(drainCtx *drainability.DrainContext, pod *apiv1.Pod) dr
 			return drainability.NewBlockedStatus(drain.ControllerNotFound, fmt.Errorf("replication controller for %s/%s is not available, err: %v", pod.Namespace, pod.Name, err))
 		}
 	} else if refKind == "StatefulSet" {
+		if refGroup.Group != "apps" {
+			// We don't have a listener for the other StatefulSet group.
+			return drainability.NewUndefinedStatus()
+		}
 		ss, err := drainCtx.Listers.StatefulSetLister().StatefulSets(controllerNamespace).Get(controllerRef.Name)
 
 		if err != nil && ss == nil {
diff --git a/cluster-autoscaler/simulator/drainability/rules/replicated/rule_test.go b/cluster-autoscaler/simulator/drainability/rules/replicated/rule_test.go
index ce2943eb42c7965471c5ad6e7fb948d65ac19d22..44c3dd3a099f46b32fd0ebca23f1e03d249f1d8a 100644
--- a/cluster-autoscaler/simulator/drainability/rules/replicated/rule_test.go
+++ b/cluster-autoscaler/simulator/drainability/rules/replicated/rule_test.go
@@ -143,6 +143,30 @@ func TestDrainable(t *testing.T) {
 			},
 			rcs: []*apiv1.ReplicationController{&rc},
 		},
+		"SS-managed pod by a custom API Group": {
+			pod: &apiv1.Pod{
+				ObjectMeta: metav1.ObjectMeta{
+					Name:            "bar",
+					Namespace:       "default",
+					OwnerReferences: test.GenerateOwnerReferences(statefulset.Name, "StatefulSet", "kruise/v1", ""),
+				},
+				Spec: apiv1.PodSpec{
+					NodeName: "node",
+				},
+			},
+		},
+		"SS-managed pod by a custom API Group with missing reference": {
+			pod: &apiv1.Pod{
+				ObjectMeta: metav1.ObjectMeta{
+					Name:            "bar",
+					Namespace:       "default",
+					OwnerReferences: test.GenerateOwnerReferences("missing", "StatefulSet", "kruise/v1", ""),
+				},
+				Spec: apiv1.PodSpec{
+					NodeName: "node",
+				},
+			},
+		},
 		"RS-managed pod": {
 			pod: &apiv1.Pod{
 				ObjectMeta: metav1.ObjectMeta{