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 6-sided 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  |