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Cubic
a = b = c
α = β = γ = 90°
Hexagonal
a = b ≠ c
α = β = 90°
γ = 120°
Trigonal (rhombohedral)
a = b = c
α = β = γ ≠ 90°, <120°
Tetragonal
a = b ≠ c
α = β = γ = 90°
Orthorhombic
a ≠ b ≠ c
α = β = γ = 90°
Monoclinic
a ≠ b ≠ c
α = γ = 90° ≠ β
Triclinic
a ≠ b ≠ c
α ≠ β ≠ γ
Equal sides a = b = c
Cubic, Trigonal
Unequal sides a ≠ b ≠ c
Triclinic, Monoclinic, Orthorhombic
a = b ≠ c
Hexagonal, Tetragonal
α = β = γ = 90°
Cubic, Tetragonal, Orthorombic