diff --git a/setup.cfg b/setup.cfg
index 266c9b85..70669f84 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -57,6 +57,7 @@ packages =
     boost_histogram._internal
     boost_histogram.axis
 install_requires =
+    uhi
     numpy>=1.26.0b1;python_version>='3.12'
     numpy;python_version<'3.12'
     typing-extensions;python_version<'3.8'
diff --git a/src/boost_histogram/__init__.py b/src/boost_histogram/__init__.py
index 98d3882d..783b5d98 100644
--- a/src/boost_histogram/__init__.py
+++ b/src/boost_histogram/__init__.py
@@ -6,7 +6,6 @@
 from .tag import (  # pylint: disable=redefined-builtin
     loc,
     overflow,
-    rebin,
     sum,
     underflow,
 )
diff --git a/src/boost_histogram/_internal/hist.py b/src/boost_histogram/_internal/hist.py
index 644cfbfa..b3ec28c6 100644
--- a/src/boost_histogram/_internal/hist.py
+++ b/src/boost_histogram/_internal/hist.py
@@ -27,7 +27,7 @@
 from boost_histogram import _core
 
 from .axestuple import AxesTuple
-from .axis import Axis
+from .axis import Axis, Variable
 from .enum import Kind
 from .storage import Double, Storage
 from .typing import Accumulator, ArrayLike, CppHistogram, SupportsIndex
@@ -672,7 +672,6 @@ def _compute_uhi_index(self, index: InnerIndexing, axis: int) -> SimpleIndexing:
         if index is sum or hasattr(index, "factor"):  # type: ignore[comparison-overlap]
             return slice(None, None, index)
 
-        # General locators
         # Note that MyPy doesn't like these very much - the fix
         # will be to properly set input types
         if callable(index):
@@ -854,13 +853,15 @@ def __getitem__(self: H, index: IndexingExpr) -> H | float | Accumulator:
             if ind != slice(None):
                 merge = 1
                 if ind.step is not None:
-                    if hasattr(ind.step, "factor"):
+                    if ind.step.factor is not None:
                         merge = ind.step.factor
                     elif callable(ind.step):
                         if ind.step is sum:
                             integrations.add(i)
+                        elif ind.step.groups is not None:
+                            groups = ind.step.groups
                         else:
-                            raise RuntimeError("Full UHI not supported yet")
+                            raise NotImplementedError
 
                         if ind.start is not None or ind.stop is not None:
                             slices.append(
@@ -876,7 +877,10 @@ def __getitem__(self: H, index: IndexingExpr) -> H | float | Accumulator:
 
                 assert isinstance(start, int)
                 assert isinstance(stop, int)
-                slices.append(_core.algorithm.slice_and_rebin(i, start, stop, merge))
+                if not (ind.step is not None and ind.step.factor is None):
+                    slices.append(
+                        _core.algorithm.slice_and_rebin(i, start, stop, merge)
+                    )
 
         # Will be updated below
         if slices or pick_set or pick_each or integrations:
@@ -885,6 +889,31 @@ def __getitem__(self: H, index: IndexingExpr) -> H | float | Accumulator:
             logger.debug("Reduce actions are all empty, just making a copy")
             reduced = copy.copy(self._hist)
 
+        # bin re-grouping
+        if (
+            hasattr(ind, "step")
+            and ind.step is not None
+            and ind.step.groups is not None
+        ):
+            axes = [reduced.axis(i) for i in range(reduced.rank())]
+            reduced_view = reduced.view(flow=True)
+            new_axes_indices = [axes[i].edges[0]]
+            j: int = 0
+            for group in groups:
+                new_axes_indices += [axes[i].edges[j + 1 : j + group + 1][-1]]
+                j = group
+
+            variable_axis = Variable(new_axes_indices)
+            variable_axis.metadata = axes[i].metadata
+            axes[i] = variable_axis
+            reduced_view = np.take(reduced_view, range(len(reduced_view)), axis=i)
+
+            logger.debug("Axes: %s", axes)
+
+            new_reduced = reduced.__class__(axes)
+            new_reduced.view(flow=True)[...] = reduced_view
+            reduced = new_reduced
+
         if pick_each:
             tuple_slice = tuple(
                 pick_each.get(i, slice(None)) for i in range(reduced.rank())
diff --git a/src/boost_histogram/tag.py b/src/boost_histogram/tag.py
index 0fcfb9f7..632bcfc0 100644
--- a/src/boost_histogram/tag.py
+++ b/src/boost_histogram/tag.py
@@ -4,11 +4,14 @@
 
 import copy
 from builtins import sum
-from typing import TypeVar
+from typing import Mapping, Sequence, TypeVar
+
+from uhi.typing.plottable import PlottableAxis
 
 from ._internal.typing import AxisLike
+from .axis import Regular, Variable
 
-__all__ = ("Slicer", "Locator", "at", "loc", "overflow", "underflow", "rebin", "sum")
+__all__ = ("Slicer", "Locator", "at", "loc", "overflow", "underflow", "Rebinner", "sum")
 
 
 class Slicer:
@@ -107,13 +110,49 @@ def __call__(self, axis: AxisLike) -> int:  # noqa: ARG002
         return self.value
 
 
-class rebin:
-    __slots__ = ("factor",)
-
-    def __init__(self, value: int) -> None:
+class Rebinner:
+    __slots__ = (
+        "factor",
+        "groups",
+        "category_map",
+    )
+
+    def __init__(
+        self,
+        *,
+        value: int | None = None,
+        groups: Sequence[int] | None = None,
+    ) -> None:
+        if (
+            sum(i is None for i in [value, groups]) == 2
+            or sum(i is not None for i in [value, groups]) > 1
+        ):
+            raise ValueError("exactly one, a value or groups should be provided")
         self.factor = value
+        self.groups = groups
 
     def __repr__(self) -> str:
-        return f"{self.__class__.__name__}({self.factor})"
-
-    # TODO: Add __call__ to support UHI
+        repr_str = f"{self.__class__.__name__}"
+        args: dict[str, int | Sequence[int] | None] = {
+            "value": self.factor,
+            "groups": self.groups,
+        }
+        for k, v in args.items():
+            if v is not None:
+                return_str = f"{repr_str}({k}={v})"
+                break
+        return return_str
+
+    def __call__(
+        self, axis: PlottableAxis
+    ) -> int | Sequence[int] | Mapping[int | str, Sequence[int | str]]:
+        if isinstance(axis, Regular):
+            if self.factor is None:
+                raise ValueError("must provide a value")
+            return self.factor
+        elif isinstance(axis, Variable):  # noqa: RET505
+            if self.groups is None:
+                raise ValueError("must provide bin groups")
+            return self.groups
+        else:
+            raise NotImplementedError(axis)