diff --git a/artiq/dashboard/schedule.py b/artiq/dashboard/schedule.py
index 8ea213239..ac77398d7 100644
--- a/artiq/dashboard/schedule.py
+++ b/artiq/dashboard/schedule.py
@@ -6,6 +6,7 @@ import logging
 from PyQt6 import QtCore, QtWidgets, QtGui
 
 from artiq.gui.models import DictSyncModel
+from artiq.gui.tools import SelectableColumnTableView
 from artiq.tools import elide
 
 
@@ -66,7 +67,7 @@ class ScheduleDock(QtWidgets.QDockWidget):
 
         self.schedule_ctl = schedule_ctl
 
-        self.table = QtWidgets.QTableView()
+        self.table = SelectableColumnTableView()
         self.table.setSelectionBehavior(QtWidgets.QAbstractItemView.SelectionBehavior.SelectRows)
         self.table.setSelectionMode(QtWidgets.QAbstractItemView.SelectionMode.SingleSelection)
         self.table.verticalHeader().setSectionResizeMode(
@@ -104,6 +105,9 @@ class ScheduleDock(QtWidgets.QDockWidget):
         h.resizeSection(6, 20 * cw)
         h.resizeSection(7, 20 * cw)
 
+        # Allow user to reorder or disable columns.
+        h.setSectionsMovable(True)
+
     def set_model(self, model):
         self.table_model = model
         self.table.setModel(self.table_model)
@@ -154,4 +158,9 @@ class ScheduleDock(QtWidgets.QDockWidget):
         return bytes(self.table.horizontalHeader().saveState())
 
     def restore_state(self, state):
-        self.table.horizontalHeader().restoreState(QtCore.QByteArray(state))
+        h = self.table.horizontalHeader()
+        h.restoreState(QtCore.QByteArray(state))
+
+        # The state includes the sectionsMovable property, so set it again to be able to
+        # deal with pre-existing save files from when we used not to enable it.
+        h.setSectionsMovable(True)
diff --git a/artiq/gui/tools.py b/artiq/gui/tools.py
index 0fc9e4615..63b228632 100644
--- a/artiq/gui/tools.py
+++ b/artiq/gui/tools.py
@@ -1,7 +1,7 @@
 import asyncio
 import logging
 
-from PyQt6 import QtCore, QtWidgets
+from PyQt6 import QtCore, QtGui, QtWidgets
 
 
 class DoubleClickLineEdit(QtWidgets.QLineEdit):
@@ -88,6 +88,51 @@ class LayoutWidget(QtWidgets.QWidget):
         self.layout.addWidget(item, row, col, rowspan, colspan)
 
 
+class SelectableColumnTableView(QtWidgets.QTableView):
+    """A QTableView packaged up with a header row context menu that allows users to
+    show/hide columns using checkable entries.
+
+    By default, all columns are shown. If only one shown column remains, the entry is
+    disabled to prevent a situation where no columns are shown, which might be confusing
+    to the user.
+
+    Qt considers whether columns are shown to be part of the header state, i.e. it is
+    included in saveState()/restoreState().
+    """
+
+    def __init__(self):
+        super().__init__()
+
+        self.horizontalHeader().setContextMenuPolicy(
+            QtCore.Qt.ContextMenuPolicy.CustomContextMenu)
+        self.horizontalHeader().customContextMenuRequested.connect(
+            self.show_header_context_menu)
+
+    def show_header_context_menu(self, pos):
+        menu = QtWidgets.QMenu(self)
+
+        num_columns_total = self.model().columnCount()
+        num_columns_shown = sum(
+            (not self.isColumnHidden(i)) for i in range(num_columns_total))
+        for i in range(num_columns_total):
+            name = self.model().headerData(i, QtCore.Qt.Orientation.Horizontal)
+            action = QtGui.QAction(name, self)
+            action.setCheckable(True)
+
+            is_currently_hidden = self.isColumnHidden(i)
+            action.setChecked(not is_currently_hidden)
+            if not is_currently_hidden:
+                if num_columns_shown == 1:
+                    # Don't allow hiding of the last visible column.
+                    action.setEnabled(False)
+
+            action.triggered.connect(
+                lambda checked, i=i: self.setColumnHidden(i, not checked))
+            menu.addAction(action)
+
+        menu.exec(self.horizontalHeader().mapToGlobal(pos))
+
+
 async def get_open_file_name(parent, caption, dir, filter):
     """like QtWidgets.QFileDialog.getOpenFileName(), but a coroutine"""
     dialog = QtWidgets.QFileDialog(parent, caption, dir, filter)