What criteria are involved in dividing the 32 crystal classes into six crystal systems?

The 32 crystal classes are divided into six crystal systems based on their symmetry properties and geometric arrangements. The criteria include the presence and arrangement of axes of symmetry, the number of faces, and the angles between these faces. The six crystal systems—cubic, tetragonal, orthorhombic, hexagonal, monoclinic, and triclinic—reflect these variations in symmetry and lattice parameters, influencing the overall shape and properties of the crystals. Each system represents a distinct combination of these symmetry elements.