diff --git a/synapse/rest/admin/groups.py b/synapse/rest/admin/groups.py

index 68a3ba3cb7..a27110388f 100644
--- a/synapse/rest/admin/groups.py
+++ b/synapse/rest/admin/groups.py
@@ -12,6 +12,7 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 import logging
+from http import HTTPStatus
 from typing import TYPE_CHECKING, Tuple
 
 from synapse.api.errors import SynapseError
@@ -43,7 +44,7 @@ class DeleteGroupAdminRestServlet(RestServlet):
         await assert_user_is_admin(self.auth, requester.user)
 
         if not self.is_mine_id(group_id):
-            raise SynapseError(400, "Can only delete local groups")
+            raise SynapseError(HTTPStatus.BAD_REQUEST, "Can only delete local groups")
 
         await self.group_server.delete_group(group_id, requester.user.to_string())
-        return 200, {}
+        return HTTPStatus.OK, {}