The simple knowledge of unit cell dimensions alone is not sufficient for the determination of the space group... In fact that is Not even sufficient to detrrmine the crystal system.
You will need a reasonable amount of diffracted reflections. By analysing the symmetry of the diffracted pattern (systematic absenses) you can find the possible space groups. In some cases though, the analysis of the systematic absenses is not sufficient due to the exsistence of multiple space groups with equal systematic absenses ( es P1 and P-1). In those cases an statistical analysis of the reflections' intensities can give a good indication of the correct space group.
The unit cell dimensions in terms of lengths (a, b, c) and unit cell angles (alpha, beta, gamma) gives an idea of which crystal system it belongs to. Having a knowledge of crystal system and looking at the systematic absences, we can decide the space group.
Cell dimensions usually lead to determination of crystal system, but adding information on systematic absences will nail the crystal system down and except for the dilema of centric vs. non-centric determine the space group as well.
space group is possible by knowing a,b,c and alpha, beta, gamma values, then how we find the space group
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