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In the frame of collaboration in the FAIR project IHEP has developed a design of a fast cycling quadrupole, which will be assembled together with corrector magnets in the united cryostat. This quadrupole is intended as the main unit for the SIS 300 ring. The 1-layer coil of the quadrupole is divided in three blocks and will be wound by a cored cable with 19 strands. The quadrupole creates a 45-T/m central gradient in 105-mm aperture. A possible simple quench protection scheme is shortly discussed with relation to the features of the developed quadrupole design. There will be various types of steering and corrector magnets in the SIS 300 ring. The geometries of the corrector and steering magnets are presented as well as their main magnetic parameters.