not sure I follow this thread, but this table might be interesting : http://journals.iucr.org/d/issues/2010/05/00/dz5193/dz5193sup1.pdf
from: Detection and correction of underassigned rotational symmetry prior to structure deposition B. K. Poon, R. W. Grosse-Kunstleve, P. H. Zwart and N. K. Sauter Acta Cryst. (2010). D66, 503-513 [ doi:10.1107/S0907444910001502 ]