B. Eick et al., COMPUTING MAXIMAL-SUBGROUPS AND WYCKOFF POSITIONS OF SPACE-GROUPS, Acta crystallographica. Section A, Foundations of crystallography, 53, 1997, pp. 467-474
This paper describes algorithms for the computation of conjugacy class
es of maximal subgroups and the Wyckoff positions of a space group. Th
e algorithms are implemented in the computational group-theory system
GAP and use existing standard functions of GAP as well as some simple
but useful group-theoretical ideas.