Symmetry and space groups
Space group operators can be found here: http://www.embl-hamburg.de/~pinotsis/spacegroup.html
The crystallographic toolbox is at [1]. Its predecessor, SgInfo, is here.
Facts about space groups
There are 230 space groups, 65 of which accessible to proteins.
Empirically, P212121 is the space group which occurs most often (23%) in the PDB; second place is P1 with 14.4% ( [2]).
Reflection conditions
see iucr:Reflection_conditions and iucr:Integral_reflection_conditions