A superconducting magnet system composed of three separate, easily removable, nested solenoids is described. The outer two solenoids are split coil systems so that particle beams can be directed through the magnet when these sections are used to provide the magnetic field for a helium bubble chamber. Magnetic fields of 67, 42, and 17 kG have been achieved in winding diameters of 17.8, 27.9, and 45.7 cm, respectively. The results indicate that the system is capable of operation at fields in excess of 70 kG. The magnet is wound from various types of superconducting cable. Some of the considerations governing the choice of cable types and magnet design are given. A description of the tests is given, and the test results are discussed.