An exhaust gas system for an internal combustion engine has a thermoelectric power generator with a hot side and a cold side. The hot side is arranged on the exhaust gas system and is heatable by exhaust gas of the internal combustion engine. A first heat exchanger having a first thermal conductivity is arranged between the hot side and the exhaust gas flow. At least a second thermoelectric power generator is arranged on the exhaust gas system and has a second heat exchanger with a thermal conductivity that is different from the first thermal conductivity. The arrangement of thermoelectric power generators can generate electric power over a significantly wider operating point range of the internal combustion engine.