System

Class

Symbol

Hermann-Mauguin

Schönflies

Mathematical

tricline

tricline - pedial

1

tricline - pinacoidal

monocline

monocline - sphenoidal

2

monocline - domatic

m

monocline - prismatic

2/m

rhombic

rhombic - disphenoidal

222

rhombic - pyramidal

2mm

rhombic - dipyramidal

2/m2/m2/m

tetragonal

tetragonal - pyramidal

4

tetragonal - disphenoidal

tetragonal - dipyramidal

4/m

tetragonal - trapezohedral

422

ditetragonal - pyramidal

4mm

tetragonal - scalenohedral

ditetragonal - dipyramidal

4/m2/m2/m, 4/mmm

trigonal

trigonal - pyramidal

3

trigonal - rhombohedral

trigonal - trapezohedral

32

ditrigonal - pyramidal

3m

ditrigonal - scalenohedral

2/m

hexagonal

hexagonal - pyramidal

6

hexagonal - dipyramidal

6/m

hexagonal - trapezohedral

622

dihexagonal - pyramidal

6mm

dihexagonal - dipyramidal

6/m2/m2/m, 6/mmm

trigonal - dipyramidal

ditrigonal - dipyramidal

cubic

tetartoidal

23

T

T

diploidal

2/m, , m3

gyroidal

432

O

K

hextetrahedral

KT

hexoctahedral

4/m2/m, , m3m