Bilbao Crystallographic Server Geometrical interpretation of the symmetry operations of the three-dimensional crystallographic point groups Help

## Geometrical Interpretation of the Symmetry Operations of the 3D Point Groups

 Symbol Symmetry Operations (in Seitz notation ) 1 1 -1 1; -1 2 1; 2010 m 1; m010 2/m 1; 2010; -1; m010 222 1; 2001; 2010; 2100 mm2 1; 2001; m010; m100 mmm 1; 2001; 2010; 2100; -1; m001; m010; m100 4 1; 2001; 4+001; 4-001 -4 1; 2001; -4+001; -4-001 4/m 1; 2001; 4+001; 4-001; -1; m001; -4+001; -4-001 422 1; 2001; 4+001; 4-001; 2010; 2100; 2110; 21-10 4mm 1; 2001; 4+001; 4-001; m010; m100; m110; m1-10 -42m 1; 2001; -4+001; -4-001; 2010; 2100; m110; m1-10 4/mmm 1; 2001; 4+001; 4-001; 2010; 2100; 2110; 21-10; -1; m001; -4+001; -4-001; m010; m100; m110; m1-10 3 1; 3+001; 3-001 -3 1; 3+001; 3-001; -1; -3+001; -3-001 321 1; 3+001; 3-001; 21-10; 2120; 2210; 1; 3+001; 3-001; 2110; 2100; 2010 3m1 1; 3+001; 3-001; m1-10; m120; m210; 1; 3+001; 3-001; m110; m100; m010 -3m1 1; m1-10; m120; m210; 3+001; 3-001; 21-10; 2120; 2210; -1; -3+001; -3-001; 1; m110; m100; m010; 3+001; 3-001; 2110; 2100; 2010; -1; -3+001; -3-001 6 1; 3+001; 3-001; 2001; 6-001; 6+001 -6 1; 3+001; 3-001; m001; -6-001; -6+001 6/m 1; 3+001; 3-001; 2001; 6-001; 6+001; -1; -3+001; -3-001; m001; -6-001; -6+001 622 1; 3+001; 3-001; 2001; 6-001; 6+001; 2110; 2100; 2010; 21-10; 2120; 2210 6mm 1; 3+001; 3-001; 2001; 6-001; 6+001; m110; m100; m010; m1-10; m120; m210 -6m2 1; 21-10; 2120; 2210; 3+001; 3-001; m001; -6-001; -6+001; m110; m100; m010 6/mmm 1; 3+001; 3-001; 2001; 6-001; 6+001; 2110; 2100; 2010; 21-10; 2120; 2210; -1; -3+001; -3-001; m001; -6-001; -6+001; m110; m100; m010; m1-10; m120; m210 23 1; 2001; 2010; 2100; 3+111; 3+-11-1; 3+1-1-1; 3+-1-11; 3-111; 3-1-1-1; 3--1-11; 3--11-1 m-3 1; 2001; 2010; 2100; 3+111; 3+-11-1; 3+1-1-1; 3+-1-11; 3-111; 3-1-1-1; 3--1-11; 3--11-1; -1; m001; m010; m100; -3+111; -3+-11-1; -3+1-1-1; -3+-1-11; -3-111; -3-1-1-1; -3--1-11; -3--11-1 432 1; 2001; 2010; 2100; 3+111; 3+-11-1; 3+1-1-1; 3+-1-11; 3-111; 3-1-1-1; 3--1-11; 3--11-1; 2110; 21-10; 4-001; 4+001; 4-100; 2011; 201-1; 4+100; 4+010; 2101; 4-010; 2-101 -43m 1; 2001; 2010; 2100; 3+111; 3+-11-1; 3+1-1-1; 3+-1-11; 3-111; 3-1-1-1; 3--1-11; 3--11-1; m1-10; m110; -4+001; -4-001; m01-1; -4+100; -4-100; m011; m-101; -4-010; m101; -4+010 m-3m 1; 2001; 2010; 2100; 3+111; 3+-11-1; 3+1-1-1; 3+-1-11; 3-111; 3-1-1-1; 3--1-11; 3--11-1; 2110; 21-10; 4-001; 4+001; 4-100; 2011; 201-1; 4+100; 4+010; 2101; 4-010; 2-101; -1; m001; m010; m100; -3+111; -3+-11-1; -3+1-1-1; -3+-1-11; -3-111; -3-1-1-1; -3--1-11; -3--11-1; m110; m1-10; -4-001; -4+001; -4-100; m011; m01-1; -4+100; -4+010; m101; -4-010; m-101

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