https://support.esri.com/fr-fr/bug/in-internet-explorer-11-the-basemap-selector-in-the-por-bug-000082936
BUG-000082936 for Portal for ArcGIS
In Internet Explorer 11, the Basemap selector in the Portal for ArcGIS 10.2.2 map viewer stops functioning after a layer is added to the map.
bugportalarcgis