Component for an exhaust system of an internal combustion engine, comprising a component housing elongated in the direction of a housing axis with an exhaust gas inlet and with an exhaust gas outlet and a carrier assembly unit for connecting the component to a carrier structure, wherein the carrier assembly unit comprises a carrier rod, wherein the carrier rod is fixed to the component housing in at least two fastening areas (60, 62) located at spaced locations from one another along the carrier rod and comprises two carrier rod end areas (48, 50) an at each carrier rod end area (48, 50) at least one carrier rod connection area (52, 54) for connection to a carrier structure, wherein the carrier rod is arranged entirely outside of the component housing and is configured as extending essentially linearly between its carrier rod connection areas (52, 54), wherein the component housing comprises a circumferential wall elongated in the direction of the housing axis and a front wall (42, 44) is connected to the circumferential wall by connection in form or/and connection in substance in each axial end region (38, 40) of the circumferential wall, wherein the exhaust gas inlet comprises at least one inlet pipe that is connected to one of the front walls (42, 44) and wherein the exhaust gas outlet comprises at least one outlet pipe that is connected to the other one of the front walls (42, 44), wherein the carrier rod is fastened to the circumferential wall in at least two fastening areas (60, 62), wherein at least one fastening area (60, 62) is provided such in an axial end area (38, 40) of the circumferential wall that that fastening area has a smaller distance to the front wall provided in this axial end region of the circumferential wall than to an axial center area of the circumferential wall, characterized in that - another one of the fastening areas (60, 62) is provided such in the other one of the axial end areas (38, 40) of the circumferential wall that this fastening area has a smaller distance to the front wall provided in this axial end region of the circumferential wall than to the axial center area, - each fastening area (60, 62) comprises a fastening element (64, 66) fixed to the component housing and to the carrier rod by connection in substance, and - the carrier rod is bent in its carrier rod end areas (48, 50) and in that each carrier rod connection area (52, 54) comprises a connection element (56, 58) which is made of elastic material in at least some areas and is connected to the carrier rod in respectively one of the bent areas by screwing or/and connection in substance. - another one of the fastening areas (60, 62) is provided such in the other one of the axial end areas (38, 40) of the circumferential wall that this fastening area has a smaller distance to the front wall provided in this axial end region of the circumferential wall than to the axial center area, - each fastening area (60, 62) comprises a fastening element (64, 66) fixed to the component housing and to the carrier rod by connection in substance, and - the carrier rod is bent in its carrier rod end areas (48, 50) and in that each carrier rod connection area (52, 54) comprises a connection element (56, 58) which is made of elastic material in at least some areas and is connected to the carrier rod in respectively one of the bent areas by screwing or/and connection in substance.