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Tetragonal
a=b≠c
α=β=γ=90
2 types: simple, body centered
Orthorhombic
a≠b≠c
α=β=γ=90
4 types: simple, body centered, face centered, base centered
Rhombohedral
a=b=c
α=β=γ≠90
1 type: simple
Cubic
a=b=c
α=β=γ
3 types: simple, body centered, face centered
Hexagonal
a=b≠c
α=β=90 γ=120
1 type: simple
Triclinic
a≠b≠c
α≠β≠γ≠90
1 type: simple
Monoclinic
a≠b≠c
α=γ=90 β≠90
2 types: simple, base centered