The magnetic structure of Fe 1−x Co x Si single crystals with x = 0.10, 0.15, 0.20, 0.50 has been studied by small angle polarized neutron diffraction and superconducting quantum interference device measurements. Experiments have shown that in zero field the compounds with x = 0.1, 0.15 have a well-defined tendency to order in the one-handed spiral along ͗100͘ axes due to the anisotropic exchange, that, however, decreases with increasing Co concentration x. The magnetic structure of Fe 1−x Co x Si with x = 0.2, 0.5 consists of spiral domains with randomly oriented spiral wave vector k. The applied magnetic field produces a single domain helix oriented along the field. The process of the reorientation starts at the field H C1 . Further increase of the field leads to a magnetic phase transition from a conical to a ferromagnetic state near H C2 . In the critical range near T C the integral intensity of the Bragg reflection shows a well-pronounced minimum at H fl attributed to a k flop of the helix wave vector. On the basis of our experiments we built the H-T phase diagram for each compound. It is shown that the same set of the parameters governs the magnetic properties of these compounds k, H C1 , H fl , and H C2 . Our experimental findings are well interpreted in the framework of a recently developed theory ͓Phys. Rev. B 73, 174402 ͑2006͔͒ for cubic magnets with Dzyaloshinskii-Moriya ͑DM͒ interaction. In particular, the theory suggests an additional quantum term in the magnetic susceptibility caused by the DM interaction which is in good agreement with the experiment.