diff --git a/autotests/CMakeLists.txt b/autotests/CMakeLists.txt
--- a/autotests/CMakeLists.txt
+++ b/autotests/CMakeLists.txt
@@ -5,6 +5,7 @@
 
 ecm_add_tests(
   kacceleratormanagertest.cpp
+  kcharselect_unittest.cpp
   kcollapsiblegroupbox_test.cpp
   kcolorbuttontest.cpp
   kdatecomboboxtest.cpp
diff --git a/autotests/kcharselect_unittest.cpp b/autotests/kcharselect_unittest.cpp
new file mode 100644
--- /dev/null
+++ b/autotests/kcharselect_unittest.cpp
@@ -0,0 +1,56 @@
+/* This file is part of the KDE libraries
+ *
+ * Copyright (c) 2019 David Faure <faure@kde.org>
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
+ * 02110-1301  USA
+ */
+#include <kcharselect.h>
+
+#include <QComboBox>
+#include <QTest>
+
+class KCharSelectTest : public QObject
+{
+    Q_OBJECT
+
+private Q_SLOTS:
+    void initTestCase()
+    {
+    }
+
+    void createInstance()
+    {
+        KCharSelect selector(nullptr, nullptr);
+        QCOMPARE(selector.displayedCodePoints().count(), 128);
+        QCOMPARE(selector.currentCodePoint(), 0);
+    }
+
+    void changeBlock()
+    {
+        KCharSelect selector(nullptr, nullptr);
+        // This asserts in QHeaderView, fix is up at https://codereview.qt-project.org/258967
+#if QT_VERSION >= QT_VERSION_CHECK(5, 13, 0)
+        QComboBox *blockCombo = selector.findChild<QComboBox *>(QStringLiteral("blockCombo"));
+        QVERIFY(blockCombo);
+        blockCombo->setCurrentIndex(1);
+        QCOMPARE(selector.currentCodePoint(), 128);
+#endif
+    }
+};
+
+QTEST_MAIN(KCharSelectTest)
+
+#include "kcharselect_unittest.moc"
diff --git a/src/kcharselect.cpp b/src/kcharselect.cpp
--- a/src/kcharselect.cpp
+++ b/src/kcharselect.cpp
@@ -466,9 +466,11 @@
     connect(d->forwardButton, &QToolButton::clicked, this, [this]() { d->_k_forward(); });
 
     d->sectionCombo = new QComboBox(this);
+    d->sectionCombo->setObjectName(QStringLiteral("sectionCombo"));
     d->sectionCombo->setToolTip(tr("Select a category"));
     comboLayout->addWidget(d->sectionCombo);
     d->blockCombo = new QComboBox(this);
+    d->blockCombo->setObjectName(QStringLiteral("blockCombo"));
     d->blockCombo->setToolTip(tr("Select a block to be displayed"));
     d->blockCombo->setSizePolicy(QSizePolicy::MinimumExpanding, QSizePolicy::Fixed);
     comboLayout->addWidget(d->blockCombo, 1);
diff --git a/src/kcharselect_p.h b/src/kcharselect_p.h
--- a/src/kcharselect_p.h
+++ b/src/kcharselect_p.h
@@ -172,9 +172,7 @@
     }
     QStringList mimeTypes() const override
     {
-        QStringList types;
-        types << QStringLiteral("text/plain");
-        return types;
+        return {QStringLiteral("text/plain")};
     }
     bool dropMimeData(const QMimeData *data, Qt::DropAction action,
                       int row, int column, const QModelIndex &parent) override;