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For a given group-subgroup transition, the complete set of order parameters, primary and secondary, describe the distortions that accompany this transition. The task of obtaining all order-parametric distortions for a group-subgroup pair is a long standing problem. An algorithm is presented here which obtains the irreducible representations and order parameter directions for an arbitrary transition. Examples are given for a variety of phase transitions showing the application and utility of thedoi:10.1103/physrevb.65.014113 fatcat:u4p76qyt35h5xnkbpq4aselxvy