A module filter has a container with an admission for a non-filtrate and a discharge for the filtrate. A filter module is arranged in the container and has several stacked, disc-shaped filter cells of filter material having an inner space. The filter cells have central openings forming a central channel connected with the inner space. The central channel is connected to the admission. The container has a space surrounding the filter cells and connected with the filtrate discharge. Circular disc-shaped drainage support bodies are arranged between the filter cells and extend approximately over the entire surface area of the filter cells. The drainage support bodies have drainage channels that extend toward their outer rim. The drainage support bodies have projections projecting axially away from the drainage support bodies and extending radially. Between the projections intermediate spaces are defined which form the drainage channels and remove the filtrate.
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