diff --git a/tests/rest/client/v2_alpha/test_groups.py b/tests/rest/client/v2_alpha/test_groups.py
new file mode 100644
index 0000000000..bfa9336baa
--- /dev/null
+++ b/tests/rest/client/v2_alpha/test_groups.py
@@ -0,0 +1,43 @@
+from synapse.rest.client.v1 import room
+from synapse.rest.client.v2_alpha import groups
+
+from tests import unittest
+from tests.unittest import override_config
+
+
+class GroupsTestCase(unittest.HomeserverTestCase):
+ user_id = "@alice:test"
+ room_creator_user_id = "@bob:test"
+
+ servlets = [room.register_servlets, groups.register_servlets]
+
+ @override_config({"enable_group_creation": True})
+ def test_rooms_limited_by_visibility(self):
+ group_id = "+spqr:test"
+
+ # Alice creates a group
+ channel = self.make_request("POST", "/create_group", {"localpart": "spqr"})
+ self.assertEquals(channel.code, 200, msg=channel.text_body)
+ self.assertEquals(channel.json_body, {"group_id": group_id})
+
+ # Bob creates a private room
+ room_id = self.helper.create_room_as(self.room_creator_user_id, is_public=False)
+ self.helper.auth_user_id = self.room_creator_user_id
+ self.helper.send_state(
+ room_id, "m.room.name", {"name": "bob's secret room"}, tok=None
+ )
+ self.helper.auth_user_id = self.user_id
+
+ # Alice adds the room to her group.
+ channel = self.make_request(
+ "PUT", f"/groups/{group_id}/admin/rooms/{room_id}", {}
+ )
+ self.assertEquals(channel.code, 200, msg=channel.text_body)
+ self.assertEquals(channel.json_body, {})
+
+ # Alice now tries to retrieve the room list of the space.
+ channel = self.make_request("GET", f"/groups/{group_id}/rooms")
+ self.assertEquals(channel.code, 200, msg=channel.text_body)
+ self.assertEquals(
+ channel.json_body, {"chunk": [], "total_room_count_estimate": 0}
+ )
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