A method for converting a first container stream into a second container stream that has a different width from said first container stream includes moving a container from the first container stream to a first transfer position, at the first transfer position, using a container holder of a conversion section to grip the container, to move it along a third transport direction until it arrives at a selected one of a several second transfer positions, and to then release it onto the second transport section, thereby enabling the container to join the second container stream. The second transfer positions are offset relative to each other in a direction along the second width.