Magnetic subperiodic groups

The magnetic subperiodic groups, the 31 magnetic frieze-group types, the 39 4 magnetic rod-group types and the 528 magnetic layer-group types, are deri ved and given symbols based on the symbols for the nonmagnetic subperiodic groups in Volume E of International Tables for Crystallography. The symbols are constructed in analogy to the Opechowski-Guccione symbols for magnetic space groups. Tables are given that list one group from each type. Each gr oup is specified not only by its symbol but also by explicitly listing the coset representatives of the coset decomposition of the group with respect to its translational subgroup.