A filter element for filtering a fluid comprises a first clamping ring with an outer ring; a first filter disk; a first inner support plate for supporting the first filter disk and which faces to the outside or to an inner flow channel; a second inner support plate provided with recesses; a second filter disk arranged adjacent the second inner support plate; and a second clamping ring which is connected to the first clamping ring by connecting elements. The filter disks and the inner support plates are arranged inside a housing which is formed by the clamping rings, by at least one outer ring and by outer support plates provided with recesses and covering the filter disks on the outside.