diff --git a/voluptuous/schema_builder.py b/voluptuous/schema_builder.py
index dd1b653..c98f20d 100644
--- a/voluptuous/schema_builder.py
+++ b/voluptuous/schema_builder.py
@@ -776,9 +776,10 @@ def key_literal(key):
                 result[key] = value
 
         # recompile and send old object
+        result_cls = type(self)
         result_required = (required if required is not None else self.required)
         result_extra = (extra if extra is not None else self.extra)
-        return Schema(result, required=result_required, extra=result_extra)
+        return result_cls(result, required=result_required, extra=result_extra)
 
 
 def _compile_scalar(schema):
diff --git a/voluptuous/tests/tests.py b/voluptuous/tests/tests.py
index f847bc9..779d0c4 100644
--- a/voluptuous/tests/tests.py
+++ b/voluptuous/tests/tests.py
@@ -372,6 +372,7 @@ def test_schema_extend():
     assert extended.schema == {'a': int, 'b': str}
     assert extended.required == base.required
     assert extended.extra == base.extra
+    assert isinstance(extended, Schema)
 
 
 def test_schema_extend_overrides():
@@ -411,6 +412,20 @@ def test_subschema_extension():
     assert_equal(extended.schema, {'a': {'b': str, 'c': float, 'e': int}, 'd': str})
 
 
+def test_schema_extend_handles_schema_subclass():
+    """Verify that Schema.extend handles a subclass of Schema"""
+    class S(Schema):
+        pass
+
+    base = S({Required('a'): int})
+    extension = {Optional('b'): str}
+    extended = base.extend(extension)
+
+    expected_schema = {Required('a'): int, Optional('b'): str}
+    assert extended.schema == expected_schema
+    assert isinstance(extended, S)
+
+
 def test_equality():
     assert_equal(Schema('foo'), Schema('foo'))