A flow sensor for a multi-phase medium flowmeter has a sensor carrier, and the sensor carrier has at least one first sensor array. The at least one first sensor array has a first permittivity sensor for determining a first permittivity of a multi-phase medium, a second permittivity sensor for determining a second permittivity of the medium, a density sensor for determining a density of the medium, and a first sensor axis. The first permittivity sensor, the second permittivity sensor, and the density sensor are arranged on the sensor carrier along the first sensor axis, and the first permittivity sensor and the second permittivity sensor are spaced apart with a permittivity sensor distance.