Corepresentations PG

Irreducible corepresentations of the Projective Magnetic Point Group 6mm1'

Table of characters of the unitary symmetry operations

	1	6⁺ 6^-	3⁺ 3^-	2 ^d2	m₁₁ m₁₀ m₀₁ ^dm₁₁ ^dm₁₀ ^dm₀₁	m₂₁ m_1-1 m₁₂ ^dm₂₁ ^dm_1-1 ^dm₁₂	^d1	^d6⁺ ^d6^-	^d3⁺ ^d3^-
A₁	1	1	1	1	1	1	1	1	1
A₂	1	1	1	1	-1	-1	1	1	1
B₁	1	-1	1	-1	1	-1	1	-1	1
B₂	1	-1	1	-1	-1	1	1	-1	1
E₂	2	-1	-1	2	0	0	2	-1	-1
E₁	2	1	-1	-2	0	0	2	1	-1

E₂	2	-√3	1	0	0	0	-2	√3	-1
E₁	2	√3	1	0	0	0	-2	-√3	-1
E₃	2	0	-2	0	0	0	-2	0	2

Multiplication table of the symmetry operations

6⁺

3⁺

3^-

6^-

m₁₁

m₂₁

m₁₀

m_1-1

m₀₁

m₁₂

^d1

^d6⁺

^d3⁺

^d2

^d3^-

^d6^-

^dm₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

6⁺'

3⁺'

3^-'

6^-'

m'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

m'₁₂

^d1'

^d6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

^dm'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

6⁺

3⁺

3^-

6^-

m₁₁

m₂₁

m₁₀

m_1-1

m₀₁

m₁₂

^d1

^d6⁺

^d3⁺

^d2

^d3^-

^d6^-

^dm₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

6⁺'

3⁺'

3^-'

6^-'

m'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

m'₁₂

^d1'

^d6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

^dm'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

6⁺

3⁺

^d2

3^-

6^-

m₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

^dm₀₁

^d6⁺

^d3⁺

^d3^-

^d6^-

^d1

^dm₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

m₀₁

6⁺'

3⁺'

^d2'

3^-'

6^-'

m'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

^d6⁺'

^d3⁺'

^d3^-'

^d6^-'

^d1'

^dm'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

3⁺

^d2

^d3^-

6^-

6⁺

^dm₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^dm_1-1

^d3⁺

3^-

^d6^-

^d1

^d6⁺

m₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

m_1-1

3⁺'

^d2'

^d3^-'

6^-'

6⁺'

^dm'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

^d3⁺'

3^-'

^d6^-'

^d1'

^d6⁺'

m'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

3^-

6^-

^d1

^d6⁺

^d3⁺

m_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

m₁₀

^d2

^d3^-

^d6^-

6⁺

3⁺

^dm_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^dm₁₀

3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

m'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

^d2'

^d3^-'

^d6^-'

6⁺'

3⁺'

^dm'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

3^-

6^-

^d6⁺

^d3⁺

m₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

^d3^-

^d6^-

^d1

6⁺

3⁺

^d2

^dm₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

m₂₁

3^-'

6^-'

^d6⁺'

^d3⁺'

m'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

^d3^-'

^d6^-'

^d1'

6⁺'

3⁺'

^d2'

^dm'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

6^-

6⁺

^d3⁺

3^-

^dm₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

m₁₁

^d6^-

^d1

^d6⁺

3⁺

^d2

^d3^-

m₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

6^-'

6⁺'

^d3⁺'

3^-'

^dm'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

^d6^-'

^d1'

^d6⁺'

3⁺'

^d2'

^d3^-'

m'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

m₁₁

^dm₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^d1

6⁺

^d3⁺

3^-

^d6^-

^dm₁₁

m₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

^d6⁺

3⁺

^d2

^d3^-

6^-

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^d1'

6⁺'

^d3⁺'

3^-'

^d6^-'

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

^d6⁺'

3⁺'

^d2'

^d3^-'

6^-'

m₂₁

^dm₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

6^-

^d1

6⁺

3⁺

^d2

3^-

^dm₂₁

m₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

^d6^-

^d6⁺

^d3⁺

^d3^-

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

6^-'

^d1'

6⁺'

3⁺'

^d2'

3^-'

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

^d6^-'

^d6⁺'

^d3⁺'

^d3^-'

m₁₀

m_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^d3^-

6^-

^d1

^d6⁺

^d3⁺

^d2

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

3^-

^d6^-

6⁺

3⁺

m'₁₀

m'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^d3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

^d2'

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

3^-'

^d6^-'

6⁺'

3⁺'

m_1-1

m₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^d2

3^-

^d6^-

^d1

^d6⁺

3⁺

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

^d3^-

6^-

6⁺

^d3⁺

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^d2'

3^-'

^d6^-'

^d1'

^d6⁺'

3⁺'

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

^d3^-'

6^-'

6⁺'

^d3⁺'

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

3⁺

^d3^-

^d6^-

^d1

6⁺

^dm₀₁

m₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

^d3⁺

^d2

3^-

6^-

^d6⁺

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

3⁺'

^d3^-'

^d6^-'

^d1'

6⁺'

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

^d3⁺'

^d2'

3^-'

6^-'

^d6⁺'

m₁₂

m₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^d6⁺

3⁺

3^-

6^-

^d1

^dm₁₂

^dm₁₁

m₂₁

m₁₀

m_1-1

m₀₁

6⁺

^d3⁺

^d2

^d3^-

^d6^-

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^d6⁺'

3⁺'

3^-'

6^-'

^d1'

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

^d1

^d6⁺

^d3⁺

^d2

^d3^-

^d6^-

^dm₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

6⁺

3⁺

3^-

6^-

m₁₁

m₂₁

m₁₀

m_1-1

m₀₁

m₁₂

^d1'

^d6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

^dm'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

6⁺'

3⁺'

3^-'

6^-'

m'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

m'₁₂

^d6⁺

^d3⁺

^d3^-

^d6^-

^d1

^dm₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

m₀₁

6⁺

3⁺

^d2

3^-

6^-

m₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

^dm₀₁

^d6⁺'

^d3⁺'

^d3^-'

^d6^-'

^d1'

^dm'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

6⁺'

3⁺'

^d2'

3^-'

6^-'

m'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

^d3⁺

3^-

^d6^-

^d1

^d6⁺

m₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

m_1-1

3⁺

^d2

^d3^-

6^-

6⁺

^dm₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^dm_1-1

^d3⁺'

3^-'

^d6^-'

^d1'

^d6⁺'

m'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

3⁺'

^d2'

^d3^-'

6^-'

6⁺'

^dm'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

^d2

^d3^-

^d6^-

6⁺

3⁺

^dm_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^dm₁₀

3^-

6^-

^d1

^d6⁺

^d3⁺

m_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

m₁₀

^d2'

^d3^-'

^d6^-'

6⁺'

3⁺'

^dm'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

m'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

^d3^-

^d6^-

^d1

6⁺

3⁺

^d2

^dm₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

m₂₁

3^-

6^-

^d6⁺

^d3⁺

m₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

^d3^-'

^d6^-'

^d1'

6⁺'

3⁺'

^d2'

^dm'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

3^-'

6^-'

^d6⁺'

^d3⁺'

m'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

^d6^-

^d1

^d6⁺

3⁺

^d2

^d3^-

m₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

6^-

6⁺

^d3⁺

3^-

^dm₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

m₁₁

^d6^-'

^d1'

^d6⁺'

3⁺'

^d2'

^d3^-'

m'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

6^-'

6⁺'

^d3⁺'

3^-'

^dm'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

^dm₁₁

m₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

^d6⁺

3⁺

^d2

^d3^-

6^-

m₁₁

^dm₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^d1

6⁺

^d3⁺

3^-

^d6^-

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

^d6⁺'

3⁺'

^d2'

^d3^-'

6^-'

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^d1'

6⁺'

^d3⁺'

3^-'

^d6^-'

^dm₂₁

m₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

^d6^-

^d6⁺

^d3⁺

^d3^-

m₂₁

^dm₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

6^-

^d1

6⁺

3⁺

^d2

3^-

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

^d6^-'

^d6⁺'

^d3⁺'

^d3^-'

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

6^-'

^d1'

6⁺'

3⁺'

^d2'

3^-'

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

3^-

^d6^-

6⁺

3⁺

m₁₀

m_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^d3^-

6^-

^d1

^d6⁺

^d3⁺

^d2

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

3^-'

^d6^-'

6⁺'

3⁺'

m'₁₀

m'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^d3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

^d2'

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

^d3^-

6^-

6⁺

^d3⁺

m_1-1

m₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^d2

3^-

^d6^-

^d1

^d6⁺

3⁺

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

^d3^-'

6^-'

6⁺'

^d3⁺'

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^d2'

3^-'

^d6^-'

^d1'

^d6⁺'

3⁺'

^dm₀₁

m₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

^d3⁺

^d2

3^-

6^-

^d6⁺

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

3⁺

^d3^-

^d6^-

^d1

6⁺

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

^d3⁺'

^d2'

3^-'

6^-'

^d6⁺'

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

3⁺'

^d3^-'

^d6^-'

^d1'

6⁺'

^dm₁₂

^dm₁₁

m₂₁

m₁₀

m_1-1

m₀₁

6⁺

^d3⁺

^d2

^d3^-

^d6^-

m₁₂

m₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^d6⁺

3⁺

3^-

6^-

^d1

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^d6⁺'

3⁺'

3^-'

6^-'

^d1'

6⁺'

3⁺'

3^-'

6^-'

m'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

m'₁₂

^d1'

^d6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

^dm'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

^d1

^d6⁺

^d3⁺

^d2

^d3^-

^d6^-

^dm₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

6⁺

3⁺

3^-

6^-

m₁₁

m₂₁

m₁₀

m_1-1

m₀₁

m₁₂

6⁺'

3⁺'

^d2'

3^-'

6^-'

m'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

^d6⁺'

^d3⁺'

^d3^-'

^d6^-'

^d1'

^dm'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

^d6⁺

^d3⁺

^d3^-

^d6^-

^d1

^dm₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

m₀₁

6⁺

3⁺

^d2

3^-

6^-

m₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

^dm₀₁

3⁺'

^d2'

^d3^-'

6^-'

6⁺'

^dm'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

^d3⁺'

3^-'

^d6^-'

^d1'

^d6⁺'

m'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

^d3⁺

3^-

^d6^-

^d1

^d6⁺

m₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

m_1-1

3⁺

^d2

^d3^-

6^-

6⁺

^dm₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^dm_1-1

3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

m'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

^d2'

^d3^-'

^d6^-'

6⁺'

3⁺'

^dm'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

^d2

^d3^-

^d6^-

6⁺

3⁺

^dm_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^dm₁₀

3^-

6^-

^d1

^d6⁺

^d3⁺

m_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

m₁₀

3^-'

6^-'

^d6⁺'

^d3⁺'

m'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

^d3^-'

^d6^-'

^d1'

6⁺'

3⁺'

^d2'

^dm'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

^d3^-

^d6^-

^d1

6⁺

3⁺

^d2

^dm₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

m₂₁

3^-

6^-

^d6⁺

^d3⁺

m₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

6^-'

6⁺'

^d3⁺'

3^-'

^dm'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

^d6^-'

^d1'

^d6⁺'

3⁺'

^d2'

^d3^-'

m'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

^d6^-

^d1

^d6⁺

3⁺

^d2

^d3^-

m₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

6^-

6⁺

^d3⁺

3^-

^dm₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

m₁₁

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^d1'

6⁺'

^d3⁺'

3^-'

^d6^-'

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

^d6⁺'

3⁺'

^d2'

^d3^-'

6^-'

^dm₁₁

m₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

^d6⁺

3⁺

^d2

^d3^-

6^-

m₁₁

^dm₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^d1

6⁺

^d3⁺

3^-

^d6^-

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

6^-'

^d1'

6⁺'

3⁺'

^d2'

3^-'

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

^d6^-'

^d6⁺'

^d3⁺'

^d3^-'

^dm₂₁

m₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

^d6^-

^d6⁺

^d3⁺

^d3^-

m₂₁

^dm₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

6^-

^d1

6⁺

3⁺

^d2

3^-

m'₁₀

m'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^d3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

^d2'

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

3^-'

^d6^-'

6⁺'

3⁺'

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

3^-

^d6^-

6⁺

3⁺

m₁₀

m_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^d3^-

6^-

^d1

^d6⁺

^d3⁺

^d2

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^d2'

3^-'

^d6^-'

^d1'

^d6⁺'

3⁺'

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

^d3^-'

6^-'

6⁺'

^d3⁺'

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

^d3^-

6^-

6⁺

^d3⁺

m_1-1

m₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^d2

3^-

^d6^-

^d1

^d6⁺

3⁺

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

3⁺'

^d3^-'

^d6^-'

^d1'

6⁺'

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

^d3⁺'

^d2'

3^-'

6^-'

^d6⁺'

^dm₀₁

m₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

^d3⁺

^d2

3^-

6^-

^d6⁺

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

3⁺

^d3^-

^d6^-

^d1

6⁺

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^d6⁺'

3⁺'

3^-'

6^-'

^d1'

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

^dm₁₂

^dm₁₁

m₂₁

m₁₀

m_1-1

m₀₁

6⁺

^d3⁺

^d2

^d3^-

^d6^-

m₁₂

m₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^d6⁺

3⁺

3^-

6^-

^d1

^d1'

^d6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

^dm'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

6⁺'

3⁺'

3^-'

6^-'

m'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

m'₁₂

6⁺

3⁺

3^-

6^-

m₁₁

m₂₁

m₁₀

m_1-1

m₀₁

m₁₂

^d1

^d6⁺

^d3⁺

^d2

^d3^-

^d6^-

^dm₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

^d6⁺'

^d3⁺'

^d3^-'

^d6^-'

^d1'

^dm'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

6⁺'

3⁺'

^d2'

3^-'

6^-'

m'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

6⁺

3⁺

^d2

3^-

6^-

m₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

^dm₀₁

^d6⁺

^d3⁺

^d3^-

^d6^-

^d1

^dm₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

m₀₁

^d3⁺'

3^-'

^d6^-'

^d1'

^d6⁺'

m'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

3⁺'

^d2'

^d3^-'

6^-'

6⁺'

^dm'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

3⁺

^d2

^d3^-

6^-

6⁺

^dm₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^dm_1-1

^d3⁺

3^-

^d6^-

^d1

^d6⁺

m₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

m_1-1

^d2'

^d3^-'

^d6^-'

6⁺'

3⁺'

^dm'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

m'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

3^-

6^-

^d1

^d6⁺

^d3⁺

m_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

m₁₀

^d2

^d3^-

^d6^-

6⁺

3⁺

^dm_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^dm₁₀

^d3^-'

^d6^-'

^d1'

6⁺'

3⁺'

^d2'

^dm'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

3^-'

6^-'

^d6⁺'

^d3⁺'

m'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

3^-

6^-

^d6⁺

^d3⁺

m₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

^d3^-

^d6^-

^d1

6⁺

3⁺

^d2

^dm₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

m₂₁

^d6^-'

^d1'

^d6⁺'

3⁺'

^d2'

^d3^-'

m'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

6^-'

6⁺'

^d3⁺'

3^-'

^dm'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

6^-

6⁺

^d3⁺

3^-

^dm₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

m₁₁

^d6^-

^d1

^d6⁺

3⁺

^d2

^d3^-

m₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

^dm'₁₁

m'₂₁

^dm'₁₀

m'_1-1

m'₀₁

^dm'₁₂

^d6⁺'

3⁺'

^d2'

^d3^-'

6^-'

m'₁₁

^dm'₂₁

m'₁₀

^dm'_1-1

^dm'₀₁

m'₁₂

^d1'

6⁺'

^d3⁺'

3^-'

^d6^-'

m₁₁

^dm₂₁

m₁₀

^dm_1-1

^dm₀₁

m₁₂

^d1

6⁺

^d3⁺

3^-

^d6^-

^dm₁₁

m₂₁

^dm₁₀

m_1-1

m₀₁

^dm₁₂

^d6⁺

3⁺

^d2

^d3^-

6^-

^dm'₂₁

m'₁₀

m'_1-1

^dm'₀₁

m'₁₂

m'₁₁

^d6^-'

^d6⁺'

^d3⁺'

^d3^-'

m'₂₁

^dm'₁₀

^dm'_1-1

m'₀₁

^dm'₁₂

^dm'₁₁

6^-'

^d1'

6⁺'

3⁺'

^d2'

3^-'

m₂₁

^dm₁₀

^dm_1-1

m₀₁

^dm₁₂

^dm₁₁

6^-

^d1

6⁺

3⁺

^d2

3^-

^dm₂₁

m₁₀

m_1-1

^dm₀₁

m₁₂

m₁₁

^d6^-

^d6⁺

^d3⁺

^d3^-

^dm'₁₀

^dm'_1-1

^dm'₀₁

^dm'₁₂

^dm'₁₁

m'₂₁

3^-'

^d6^-'

6⁺'

3⁺'

m'₁₀

m'_1-1

m'₀₁

m'₁₂

m'₁₁

^dm'₂₁

^d3^-'

6^-'

^d1'

^d6⁺'

^d3⁺'

^d2'

m₁₀

m_1-1

m₀₁

m₁₂

m₁₁

^dm₂₁

^d3^-

6^-

^d1

^d6⁺

^d3⁺

^d2

^dm₁₀

^dm_1-1

^dm₀₁

^dm₁₂

^dm₁₁

m₂₁

3^-

^d6^-

6⁺

3⁺

^dm'_1-1

^dm'₀₁

m'₁₂

^dm'₁₁

m'₂₁

^dm'₁₀

^d3^-'

6^-'

6⁺'

^d3⁺'

m'_1-1

m'₀₁

^dm'₁₂

m'₁₁

^dm'₂₁

m'₁₀

^d2'

3^-'

^d6^-'

^d1'

^d6⁺'

3⁺'

m_1-1

m₀₁

^dm₁₂

m₁₁

^dm₂₁

m₁₀

^d2

3^-

^d6^-

^d1

^d6⁺

3⁺

^dm_1-1

^dm₀₁

m₁₂

^dm₁₁

m₂₁

^dm₁₀

^d3^-

6^-

6⁺

^d3⁺

^dm'₀₁

m'₁₂

m'₁₁

m'₂₁

^dm'₁₀

^dm'_1-1

^d3⁺'

^d2'

3^-'

6^-'

^d6⁺'

m'₀₁

^dm'₁₂

^dm'₁₁

^dm'₂₁

m'₁₀

m'_1-1

3⁺'

^d3^-'

^d6^-'

^d1'

6⁺'

m₀₁

^dm₁₂

^dm₁₁

^dm₂₁

m₁₀

m_1-1

3⁺

^d3^-

^d6^-

^d1

6⁺

^dm₀₁

m₁₂

m₁₁

m₂₁

^dm₁₀

^dm_1-1

^d3⁺

^d2

3^-

6^-

^d6⁺

^dm'₁₂

^dm'₁₁

m'₂₁

m'₁₀

m'_1-1

m'₀₁

6⁺'

^d3⁺'

^d2'

^d3^-'

^d6^-'

m'₁₂

m'₁₁

^dm'₂₁

^dm'₁₀

^dm'_1-1

^dm'₀₁

^d6⁺'

3⁺'

3^-'

6^-'

^d1'

m₁₂

m₁₁

^dm₂₁

^dm₁₀

^dm_1-1

^dm₀₁

^d6⁺

3⁺

3^-

6^-

^d1

^dm₁₂

^dm₁₁

m₂₁

m₁₀

m_1-1

m₀₁

6⁺

^d3⁺

^d2

^d3^-

^d6^-

Table of projective phases in group multiplication

	1	6⁺	3⁺	2	3^-	6^-	m₁₁	m₂₁	m₁₀	m_1-1	m₀₁	m₁₂	^d1	^d6⁺	^d3⁺	^d2	^d3^-	^d6^-	^dm₁₁	^dm₂₁	^dm₁₀	^dm_1-1	^dm₀₁	^dm₁₂	1'	6⁺'	3⁺'	2'	3^-'	6^-'	m'₁₁	m'₂₁	m'₁₀	m'_1-1	m'₀₁	m'₁₂	^d1'	^d6⁺'	^d3⁺'	^d2'	^d3^-'	^d6^-'	^dm'₁₁	^dm'₂₁	^dm'₁₀	^dm'_1-1	^dm'₀₁	^dm'₁₂
1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
6⁺	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
3⁺	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
2	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
3^-	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
6^-	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m₁₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m₂₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m_1-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m₀₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m₁₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d6⁺	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d3⁺	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d2	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d3^-	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d6^-	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm₁₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm₂₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm_1-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm₀₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm₁₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
1'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
6⁺'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
3⁺'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
2'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
3^-'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
6^-'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m'₁₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m'₂₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m'₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m'_1-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m'₀₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
m'₁₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d1'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d6⁺'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d3⁺'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d2'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d3^-'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^d6^-'	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm'₁₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm'₂₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm'₁₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm'_1-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm'₀₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
^dm'₁₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1

Matrices of the representations of the group

The antiunitary operations are written in red color

Matrix presentation

Seitz symbol

A₁

A₂

B₁

B₂

E₂

E₁

E₂

E₁

E₃

 1  0
 0  1

 1  0
 0  1

 1  0
 0  1

 1  0
 0  1

 1  0
 0  1

 1  0
 0  1

 1  0
 0  1

  1  -1
  1   0

  e^iπ/6   0
  0  e^-iπ/6

6⁺

-1

  e^2iπ/3   0
  0  e^-2iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 e^-5iπ/6   0
  0   e^5iπ/6

  e^iπ/6   0
  0  e^-iπ/6

 -i   0
  0   i

  0  -1
  1  -1

  e^iπ/3   0
  0  e^-iπ/3

3⁺

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

  e^iπ/3   0
  0  e^-iπ/3

  e^iπ/3   0
  0  e^-iπ/3

 -1   0
  0  -1

 -1   0
  0  -1

 -i   0
  0   i

-1

 1  0
 0  1

 -1   0
  0  -1

  i   0
  0  -i

 -i   0
  0   i

 -i   0
  0   i

 -1   1
 -1   0

 e^-iπ/3   0
  0   e^iπ/3

3^-

  e^2iπ/3   0
  0  e^-2iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 -1   0
  0  -1

  0   1
 -1   1

 e^-iπ/6   0
  0   e^iπ/6

6^-

-1

 e^-2iπ/3   0
  0   e^2iπ/3

  e^iπ/3   0
  0  e^-iπ/3

  e^5iπ/6   0
  0  e^-5iπ/6

 e^-iπ/6   0
  0   e^iπ/6

  i   0
  0  -i

  0  -1
 -1   0

  0  e^-2iπ/3
  e^-iπ/3   0

m₁₁

-1

 0  1
 1  0

 0  1
 1  0

  0  -1
  1   0

  0  -1
  1   0

  0  -1
  1   0

 -1   0
 -1   1

  0   e^iπ/6
 e^5iπ/6   0

m₂₁

-1

  0  e^-2iπ/3
  e^2iπ/3   0

  0   e^iπ/3
 e^-iπ/3   0

  0  e^5iπ/6
  e^iπ/6   0

  0   e^-iπ/6
 e^-5iπ/6   0

 0  i
 i  0

 -1   1
  0   1

  0  -1
  1   0

m₁₀

-1

  0   e^2iπ/3
 e^-2iπ/3   0

  0   e^2iπ/3
 e^-2iπ/3   0

  0  e^2iπ/3
  e^iπ/3   0

  0  e^2iπ/3
  e^iπ/3   0

  0   1
 -1   0

 0  1
 1  0

  0  e^5iπ/6
  e^iπ/6   0

m_1-1

-1

 0  1
 1  0

  0  -1
 -1   0

  0  -i
 -i   0

 0  i
 i  0

 0  i
 i  0

  1   0
  1  -1

  0  e^2iπ/3
  e^iπ/3   0

m₀₁

-1

  0  e^-2iπ/3
  e^2iπ/3   0

  0  e^-2iπ/3
  e^2iπ/3   0

  0   e^iπ/3
 e^2iπ/3   0

  0   e^iπ/3
 e^2iπ/3   0

  0  -1
  1   0

  1  -1
  0  -1

  0  -i
 -i   0

m₁₂

-1

  0   e^2iπ/3
 e^-2iπ/3   0

  0  e^-iπ/3
  e^iπ/3   0

  0   e^iπ/6
 e^5iπ/6   0

  0  e^-5iπ/6
  e^-iπ/6   0

 0  i
 i  0

 1  0
 0  1

 -1   0
  0  -1

^d1

 1  0
 0  1

 1  0
 0  1

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
  0  -1

  1  -1
  1   0

 e^-5iπ/6   0
  0   e^5iπ/6

^d6⁺

-1

  e^2iπ/3   0
  0  e^-2iπ/3

 e^-iπ/3   0
  0   e^iπ/3

  e^iπ/6   0
  0  e^-iπ/6

 e^-5iπ/6   0
  0   e^5iπ/6

  i   0
  0  -i

  0  -1
  1  -1

 e^-2iπ/3   0
  0   e^2iπ/3

^d3⁺

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 1  0
 0  1

 -1   0
  0  -1

  i   0
  0  -i

^d2

-1

 1  0
 0  1

 -1   0
  0  -1

 -i   0
  0   i

  i   0
  0  -i

  i   0
  0  -i

 -1   1
 -1   0

  e^2iπ/3   0
  0  e^-2iπ/3

^d3^-

  e^2iπ/3   0
  0  e^-2iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

 1  0
 0  1

  0   1
 -1   1

  e^5iπ/6   0
  0  e^-5iπ/6

^d6^-

-1

 e^-2iπ/3   0
  0   e^2iπ/3

  e^iπ/3   0
  0  e^-iπ/3

 e^-iπ/6   0
  0   e^iπ/6

  e^5iπ/6   0
  0  e^-5iπ/6

 -i   0
  0   i

  0  -1
 -1   0

  0   e^iπ/3
 e^2iπ/3   0

^dm₁₁

-1

 0  1
 1  0

 0  1
 1  0

  0   1
 -1   0

  0   1
 -1   0

  0   1
 -1   0

 -1   0
 -1   1

  0  e^-5iπ/6
  e^-iπ/6   0

^dm₂₁

-1

  0  e^-2iπ/3
  e^2iπ/3   0

  0   e^iπ/3
 e^-iπ/3   0

  0   e^-iπ/6
 e^-5iπ/6   0

  0  e^5iπ/6
  e^iπ/6   0

  0  -i
 -i   0

 -1   1
  0   1

  0   1
 -1   0

^dm₁₀

-1

  0   e^2iπ/3
 e^-2iπ/3   0

  0   e^2iπ/3
 e^-2iπ/3   0

  0   e^-iπ/3
 e^-2iπ/3   0

  0   e^-iπ/3
 e^-2iπ/3   0

  0  -1
  1   0

 0  1
 1  0

  0   e^-iπ/6
 e^-5iπ/6   0

^dm_1-1

-1

 0  1
 1  0

  0  -1
 -1   0

 0  i
 i  0

  0  -i
 -i   0

  0  -i
 -i   0

  1   0
  1  -1

  0   e^-iπ/3
 e^-2iπ/3   0

^dm₀₁

-1

  0  e^-2iπ/3
  e^2iπ/3   0

  0  e^-2iπ/3
  e^2iπ/3   0

  0  e^-2iπ/3
  e^-iπ/3   0

  0  e^-2iπ/3
  e^-iπ/3   0

  0   1
 -1   0

  1  -1
  0  -1

 0  i
 i  0

^dm₁₂

-1

  0   e^2iπ/3
 e^-2iπ/3   0

  0  e^-iπ/3
  e^iπ/3   0

  0  e^-5iπ/6
  e^-iπ/6   0

  0   e^iπ/6
 e^5iπ/6   0

  0  -i
 -i   0

 1  0
 0  1

 1  0
 0  1

-1

  0  -1
 -1   0

  0  -1
 -1   0

  0   1
 -1   0

  0   1
 -1   0

  0   1
 -1   0

  1  -1
  1   0

  e^iπ/6   0
  0  e^-iπ/6

6⁺'

-1

  0  e^-iπ/3
  e^iπ/3   0

  0   e^2iπ/3
 e^-2iπ/3   0

  0  e^-5iπ/6
  e^-iπ/6   0

  0   e^iπ/6
 e^5iπ/6   0

  0  -i
 -i   0

  0  -1
  1  -1

  e^iπ/3   0
  0  e^-iπ/3

3⁺'

-1

  0   e^iπ/3
 e^-iπ/3   0

  0   e^iπ/3
 e^-iπ/3   0

  0   e^iπ/3
 e^2iπ/3   0

  0   e^iπ/3
 e^2iπ/3   0

  0  -1
  1   0

 -1   0
  0  -1

 -i   0
  0   i

-1

  0  -1
 -1   0

 0  1
 1  0

 0  i
 i  0

  0  -i
 -i   0

  0  -i
 -i   0

 -1   1
 -1   0

 e^-iπ/3   0
  0   e^iπ/3

3^-'

-1

  0  e^-iπ/3
  e^iπ/3   0

  0  e^-iπ/3
  e^iπ/3   0

  0   e^-iπ/3
 e^-2iπ/3   0

  0   e^-iπ/3
 e^-2iπ/3   0

  0  -1
  1   0

  0   1
 -1   1

 e^-iπ/6   0
  0   e^iπ/6

6^-'

-1

  0   e^iπ/3
 e^-iπ/3   0

  0  e^-2iπ/3
  e^2iπ/3   0

  0  e^5iπ/6
  e^iπ/6   0

  0   e^-iπ/6
 e^-5iπ/6   0

 0  i
 i  0

  0  -1
 -1   0

  0  e^-2iπ/3
  e^-iπ/3   0

m'₁₁

-1

 -1   0
  0  -1

 -1   0
  0  -1

 1  0
 0  1

 1  0
 0  1

 1  0
 0  1

 -1   0
 -1   1

  0   e^iπ/6
 e^5iπ/6   0

m'₂₁

-1

  e^iπ/3   0
  0  e^-iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-iπ/6   0
  0   e^iπ/6

  e^5iπ/6   0
  0  e^-5iπ/6

 -i   0
  0   i

 -1   1
  0   1

  0  -1
  1   0

m'₁₀

-1

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 -1   0
  0  -1

 0  1
 1  0

  0  e^5iπ/6
  e^iπ/6   0

m'_1-1

-1

 -1   0
  0  -1

 1  0
 0  1

  i   0
  0  -i

 -i   0
  0   i

 -i   0
  0   i

  1   0
  1  -1

  0  e^2iπ/3
  e^iπ/3   0

m'₀₁

-1

  e^iπ/3   0
  0  e^-iπ/3

  e^iπ/3   0
  0  e^-iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 1  0
 0  1

  1  -1
  0  -1

  0  -i
 -i   0

m'₁₂

-1

 e^-iπ/3   0
  0   e^iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

 e^-5iπ/6   0
  0   e^5iπ/6

  e^iπ/6   0
  0  e^-iπ/6

 -i   0
  0   i

 1  0
 0  1

 -1   0
  0  -1

^d1'

-1

  0  -1
 -1   0

  0  -1
 -1   0

  0  -1
  1   0

  0  -1
  1   0

  0  -1
  1   0

  1  -1
  1   0

 e^-5iπ/6   0
  0   e^5iπ/6

^d6⁺'

-1

  0  e^-iπ/3
  e^iπ/3   0

  0   e^2iπ/3
 e^-2iπ/3   0

  0   e^iπ/6
 e^5iπ/6   0

  0  e^-5iπ/6
  e^-iπ/6   0

 0  i
 i  0

  0  -1
  1  -1

 e^-2iπ/3   0
  0   e^2iπ/3

^d3⁺'

-1

  0   e^iπ/3
 e^-iπ/3   0

  0   e^iπ/3
 e^-iπ/3   0

  0  e^-2iπ/3
  e^-iπ/3   0

  0  e^-2iπ/3
  e^-iπ/3   0

  0   1
 -1   0

 -1   0
  0  -1

  i   0
  0  -i

^d2'

-1

  0  -1
 -1   0

 0  1
 1  0

  0  -i
 -i   0

 0  i
 i  0

 0  i
 i  0

 -1   1
 -1   0

  e^2iπ/3   0
  0  e^-2iπ/3

^d3^-'

-1

  0  e^-iπ/3
  e^iπ/3   0

  0  e^-iπ/3
  e^iπ/3   0

  0  e^2iπ/3
  e^iπ/3   0

  0  e^2iπ/3
  e^iπ/3   0

  0   1
 -1   0

  0   1
 -1   1

  e^5iπ/6   0
  0  e^-5iπ/6

^d6^-'

-1

  0   e^iπ/3
 e^-iπ/3   0

  0  e^-2iπ/3
  e^2iπ/3   0

  0   e^-iπ/6
 e^-5iπ/6   0

  0  e^5iπ/6
  e^iπ/6   0

  0  -i
 -i   0

  0  -1
 -1   0

  0   e^iπ/3
 e^2iπ/3   0

^dm'₁₁

-1

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
 -1   1

  0  e^-5iπ/6
  e^-iπ/6   0

^dm'₂₁

-1

  e^iπ/3   0
  0  e^-iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

  e^5iπ/6   0
  0  e^-5iπ/6

 e^-iπ/6   0
  0   e^iπ/6

  i   0
  0  -i

 -1   1
  0   1

  0   1
 -1   0

^dm'₁₀

-1

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

 1  0
 0  1

 0  1
 1  0

  0   e^-iπ/6
 e^-5iπ/6   0

^dm'_1-1

-1

 -1   0
  0  -1

 1  0
 0  1

 -i   0
  0   i

  i   0
  0  -i

  i   0
  0  -i

  1   0
  1  -1

  0   e^-iπ/3
 e^-2iπ/3   0

^dm'₀₁

-1

  e^iπ/3   0
  0  e^-iπ/3

  e^iπ/3   0
  0  e^-iπ/3

  e^iπ/3   0
  0  e^-iπ/3

  e^iπ/3   0
  0  e^-iπ/3

 -1   0
  0  -1

  1  -1
  0  -1

 0  i
 i  0

^dm'₁₂

-1

 e^-iπ/3   0
  0   e^iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

  e^iπ/6   0
  0  e^-iπ/6

 e^-5iπ/6   0
  0   e^5iπ/6

  i   0
  0  -i

k-Subgroupsmag

Bilbao Crystallographic Server
http://www.cryst.ehu.es

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