diff --git a/hexbytes/main.py b/hexbytes/main.py
index b0c8f37..e36df5e 100644
--- a/hexbytes/main.py
+++ b/hexbytes/main.py
@@ -44,11 +44,14 @@ def __getitem__(self, key: slice) -> "HexBytes":  # noqa: F811
     def __getitem__(  # noqa: F811
         self, key: "SupportsIndex | slice"
     ) -> "int | bytes | HexBytes":
-        result = super().__getitem__(key)
-        if hasattr(result, "hex"):
-            return type(self)(result)
-        else:
+        result = bytes.__getitem__(self, key)
+        if isinstance(result, int):
             return result
+        cls = type(self)
+        if cls is HexBytes:
+            return bytes.__new__(HexBytes, result)
+        else:
+            return cls(result)
 
     def __repr__(self) -> str:
         return f"HexBytes({'0x' + self.hex()!r})"
diff --git a/tests/core/test_hexbytes.py b/tests/core/test_hexbytes.py
index 36cf1f6..451737b 100644
--- a/tests/core/test_hexbytes.py
+++ b/tests/core/test_hexbytes.py
@@ -116,6 +116,10 @@ def test_hexbytes_index(primitive, index):
         assert hexbytes[index] == primitive[index]
 
 
+def test_hexbytes_index_type():
+    assert isinstance(HexBytes(b"abc")[0], int)
+
+
 @given(st.binary(), st.integers(), st.integers())
 def test_slice(primitive, start, stop):
     hexbytes = HexBytes(primitive)
@@ -123,6 +127,17 @@ def test_slice(primitive, start, stop):
     assert hexbytes[start:stop] == expected
 
 
+def test_slice_type():
+    assert type(HexBytes(b"abc")[:2]) is HexBytes
+
+
+def test_slice_preserves_subclass():
+    class CustomHexBytes(HexBytes):
+        pass
+
+    assert type(CustomHexBytes(b"abc")[:2]) is CustomHexBytes
+
+
 @given(st.binary(), st.integers(), st.integers(), st.integers())
 def test_slice_stepped(primitive, start, stop, step):
     hexbytes = HexBytes(primitive)