The crystal symmetry of hematite in the basal plane predicts three easy magnetization axes for the sublattice spin orientation above the Morin transition. Spin canting then leads to three preferred magnetization axes perpendicular to these easy axes. By combining detailed crystallographic orientation by EBSD measurements with dense magnetic hysteresis and remanence curves as a function of rotation angle, the relation between crystallography and magnetic properties has been experimentally verified for the basal plane of a natural hematite crystal. The measurements lead to a better understanding of the interplay between spin canting, remanence and magnetic susceptibility at different field strengths. The measurement results coincide qualitatively with theoretical predictions, and provide experimental evidence for quantitative evaluation by more complex micromagnetic modeling.