1. Isometric System/
Cubic system 
3 equal axes at right
angle to each others
9 planes of symmetry
13 axes of symmetry
1 center of symmetry
Ideal crystal form: Cube, Octahedron & Dodecahedron.
e.g. Diamond, Garnet, Fluorite, Spinel 
Garnet 
2. Tetragonal System 
3 equal axes at right
angle to each others
5 planes of symmetry
5 axes of symmetry
1 center of symmetry
Ideal crystal form: Tetragonal prism with square base or bipyramid
e.g. Zircon 
Zircon 
3. Hexagonal System
4. Trigonal System

Hexagonal System 
Trigonal System 
3 horizontal axes
are equal in length & cut each others at 120°,
all perpendicular to the vertical axis of unequal length 
7 planes of
symmetry 
3 planes of symmetry 
7 axes of symmetry 
4 axes of symmetry 
Ideal
crystal form: Hexagonal prism with 6sided base or bipyramid. 
Ideal crystal
form: Rhombohombic, Trigonal prism on triangular base 
1 center of symmetry 
Beryl 
Quartz, Corundum, Tourmaline 

Quartz 
5. Triclinic
System 
3 axes of unequal length,
all inclined to each others
0 planes of symmetry
0 axes of symmetry
1 center of symmetry
Ideal crystal form: Prism, Pinacoids, Domes
e.g. Turquoise 
Turquoise 
6. Monoclinic
System 
3 axes of unequal length,
2 included, 1 perpendicular to their plane
1 planes of symmetry
1 axes of symmetry
1 center of symmetry
Ideal crystal form: Prisms, Pinacoids
e.g. Jadeite, Nephrite 
Gypsum 
7. Rhorhombic
System/
Orthorhombic System 
3 axes of unequal length,
all perpendicular to each others
3 planes of symmetry
3 axes of symmetry
1 center of symmetry
Ideal crystal form: Prism on rectangular base or bipyramid
e.g. Topaz, Chrysoberyl, Peridot 
Peridot 