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Abstract Unconventional spin‐orbit torques arising from electric‐field‐generated spin currents in anisotropic materials have promising potential for spintronic applications, including for perpendicular magnetic switching in high‐density memory applications. Here, all the independent elements of the spin torque conductivity tensor allowed by bulk crystal symmetries for the tetragonal conductor IrO₂are determined via measurements of conventional (in‐plane) anti‐damping torques for IrO₂thin films in the high‐symmetry (001) and (100) orientations. It is then tested whether rotational transformations of this same tensor can predict both the conventional and unconventional anti‐damping torques for IrO₂thin films in the lower‐symmetry (101), (110), and (111) orientations, finding good agreement. The results confirm that spin‐orbit torques from all these orientations are consistent with the bulk symmetries of IrO₂, and show how simple measurements of conventional torques from high‐symmetry orientations of anisotropic thin films can provide an accurate prediction of the unconventional torques from lower‐symmetry orientations.