New doped sample has the peaks belonging to Fd-3m space group in additional to same extra peaks in the low theta region
Since you know the symmetry you can derive the positions of peaks "removing" the absent reflections caused by F and d, e.g. by the software PowderCell and going to a soubgroup of F d3m -> Fm3m - > Pm3m. The the possible positions are indicated but there will be of course no intensity.
However, doping mostly means "small amount" so that I would first check whether there are new phases have been formed by the doping elements.
There may be some unreacted phase of the dopant oxide or may be some composite. Please check the jcpds files first and identified the phases and then do the Rietveld refinement for exact phase percentages and symmetry.
Have a look to maghemite superstructures (space groups P4132 or P43212). In this oxide the change in space group can be related to vacancies ordering.
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