A cogset with a plurality of sprockets has a subset of the sprockets connected together in a monolithic subset that is mounted directly in engagement with a coupling profile on the radially peripheral surface of a sprocket in the monolithic subset. The direct shape coupling between the sprocket of the monolithic subset and the sprocket-carrying body makes it possible to have very high solidity and rigidity of coupling to ensure the maximum precision of actuation of the gearshift that uses the sub-assembly.