A lattice system is a class of lattices with the same set of lattice point groups, which are subgroups of the arithmetic crystal 14 Bravais lattices are grouped into seven lattice systems: triclinic, monoclinic, orthorhombic, tetragonal, rhombohedral, hexagonal, and cubic.. In a crystal system, a set of point groups and their corresponding space groups are assigned to a lattice system.

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