A membrane filter for filtering a liquid to be filtered, having a downwardly open base element through which flow can pass and which has a tubular shell and precisely one membrane carrier arranged therein, wherein the membrane carrier is connected to the shell by way of at least one anchoring point, having hollow fiber-type membranes fastened at the top in the membrane carrier, having a circumferentially closed pipe which, adjoining the top of the shell of the base element, surrounds the hollow fiber-type membranes, having a gas inlet into the base element, having at least one permeate collecting chamber, having at least one permeate outlet, and having at least one downwardly open flow chamber between the shell and the membrane carrier, which flow chamber has an outlet at the top, wherein the at least one flow chamber, in every horizontal section, adjoins both the shell and the membrane carrier.