Cubic
a = b = c
alpha = beta = gamma = 90°
Orthorhombic
a ≠ b ≠ c
alpha = beta = gamma = 90°
Monoclinic
a ≠ b ≠ c
alpha = gamma = 90°
beta ≠ 90° ≠ 120°
Triclinic
a ≠ b ≠ c
alpha ≠ beta ≠ gamma ≠ 90° ≠ 120°
Tetragonal
a = b ≠ c
alpha = beta = gamma = 90°
Hexagonal and Trigonal
a = b ≠ c
alpha = beta = 90°
gamma = 120°
Isometric minerals
cubic xtal system
Uniaxial minerals
tetragonal
hexagonal/trigonal
Biaxial minerals
orthorhombic
monoclinic
triclinic