Triclinic

a ≠ b ≠ c
α ≠ β ≠ γ

Triclinic (aP)
Primitive = Conventional

Monoclinic

a ≠ b ≠ c
α ≠ 90°
β = γ= 90°

Monoclinic simple (mP)
Primitive = Conventional

Monoclinic Base centered (mS)
2 × Primitive = Conventional

Orthorhombic

a ≠ b ≠ c
α = β = γ = 90°

Orthorhombic simple (oP)
Primitive = Conventional

Base centered (oS)
2 × Primitive = Conventional

Face centered (oF)
4 × Primitive = Conventional

Body centered (oI)
2 × Primitive = Conventional

Tetragonal

a = b ≠ c
α = β = γ = 90°

Simple (tP)
Primitive = Conventional

Body centered (tI)
2 × Primitive = Conventional

Trigonal

a = b = c
α = β = γ ≠ 90°

Trigonal (hR)
Primitive = Conventional

Hexagonal

a = b ≠ c
α = 120°, β = γ = 90°

Hexagonal (hP)
Primitive = Conventional

Cubic

a = b = c
α = β = γ = 90°

Simple (cP)
Primitive = Conventional

Face centered (cF)
4 × Primitive = Conventional

Body centered (cI)
2 × Primitive = Conventional