An exhaust gas system for a hydrogen combustion engine including for a vehicle, the exhaust gas system including: a first engine exhaust gas cooler accommodating a flow of engine exhaust gas therethrough for dissipating heat from the engine exhaust gas; a separator being configured to separate condensate contained in the engine exhaust gas in a region of the first engine exhaust gas cooler and/or downstream of the first engine exhaust gas cooler; and, an engine exhaust gas heater being configured to warm the engine exhaust gas in a region of the separator and/or downstream of the separator.