| 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 |
Geometrical interpretation of the symmetry operations of the three-dimensional crystallographic point groups
