Corepresentations PG

Irreducible corepresentations of the Projective Magnetic Point Group 6_5π/3mm1'

Table of characters of the unitary symmetry operations

	1	6⁺	3⁺	2	3^-	6^-	m₁₁ m₁₀ m₀₁	m₂₁ m₁₂ ^dm_1-1	m_1-1 ^dm₂₁ ^dm₁₂	^d1	^d6⁺	^d3⁺	^d2	^d3^-	^d6^-	^dm₁₁ ^dm₁₀ ^dm₀₁
¹E₁¹E₂	2	0	2e^-2iπ/3	0	2e^2iπ/3	0	0	0	0	2	0	2e^-2iπ/3	0	2e^2iπ/3	0	0
²E₂A	2	√3e^iπ/6	e^iπ/3	0	e^-iπ/3	√3e^-iπ/6	0	0	0	2	√3e^iπ/6	e^iπ/3	0	e^-iπ/3	√3e^-iπ/6	0
²E₁B	2	√3e^-5iπ/6	e^iπ/3	0	e^-iπ/3	√3e^5iπ/6	0	0	0	2	√3e^-5iπ/6	e^iπ/3	0	e^-iπ/3	√3e^5iπ/6	0

¹E₂'¹E₂''	2	2e^-5iπ/6	2e^iπ/3	2i	2e^-iπ/3	2e^5iπ/6	0	0	0	-2	2e^iπ/6	2e^-2iπ/3	-2i	2e^2iπ/3	2e^-iπ/6	0
²E₃'²E₃''	2	2e^iπ/6	2e^iπ/3	-2i	2e^-iπ/3	2e^-iπ/6	0	0	0	-2	2e^-5iπ/6	2e^-2iπ/3	2i	2e^2iπ/3	2e^5iπ/6	0
¹E₁¹E₃	2	e^iπ/6	e^-2iπ/3	2i	e^2iπ/3	e^-iπ/6	0	0	0	-2	e^-5iπ/6	e^iπ/3	-2i	e^-iπ/3	e^5iπ/6	0
²E₁²E₂	2	e^-5iπ/6	e^-2iπ/3	-2i	e^2iπ/3	e^5iπ/6	0	0	0	-2	e^iπ/6	e^iπ/3	2i	e^-iπ/3	e^-iπ/6	0

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

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⁺

e^iπ/6

e^-5iπ/6

e^iπ/6

e^-5iπ/6

e^iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

e^iπ/6

e^-5iπ/6

3⁺

e^-2iπ/3

e^iπ/3

e^-2iπ/3

e^iπ/3

e^2iπ/3

e^-2iπ/3

e^iπ/3

e^2iπ/3

e^-2iπ/3

e^iπ/3

-i

-1

-i

-1

-i

3^-

e^-iπ/3

e^2iπ/3

e^-iπ/3

e^2iπ/3

e^-2iπ/3

e^-iπ/3

e^2iπ/3

e^-2iπ/3

e^-iπ/3

e^2iπ/3

6^-

e^5iπ/6

e^-iπ/6

e^5iπ/6

e^-iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/6

m₁₁

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

m₂₁

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

m₁₀

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

m_1-1

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

m₀₁

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

m₁₂

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

^d1

^d6⁺

e^iπ/6

e^-5iπ/6

e^iπ/6

e^-5iπ/6

e^iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

e^iπ/6

e^-5iπ/6

^d3⁺

e^-2iπ/3

e^iπ/3

e^-2iπ/3

e^iπ/3

e^2iπ/3

e^-2iπ/3

e^iπ/3

e^2iπ/3

e^-2iπ/3

e^iπ/3

^d2

-i

-1

-i

-1

-i

^d3^-

e^-iπ/3

e^2iπ/3

e^-iπ/3

e^2iπ/3

e^-2iπ/3

e^-iπ/3

e^2iπ/3

e^-2iπ/3

e^-iπ/3

e^2iπ/3

^d6^-

e^5iπ/6

e^-iπ/6

e^5iπ/6

e^-iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/6

^dm₁₁

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

^dm₂₁

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

^dm₁₀

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

^dm_1-1

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

^dm₀₁

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

^dm₁₂

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

6⁺'

e^-iπ/6

e^5iπ/6

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-iπ/6

e^5iπ/6

3⁺'

e^2iπ/3

e^-iπ/3

e^2iπ/3

e^-iπ/3

e^-2iπ/3

e^2iπ/3

e^-iπ/3

e^-2iπ/3

e^2iπ/3

e^-iπ/3

-i

-1

-i

-1

-i

3^-'

e^iπ/3

e^-2iπ/3

e^iπ/3

e^-2iπ/3

e^2iπ/3

e^iπ/3

e^-2iπ/3

e^2iπ/3

e^iπ/3

e^-2iπ/3

6^-'

e^-5iπ/6

e^iπ/6

e^-5iπ/6

e^iπ/6

e^iπ/3

e^-5iπ/6

e^iπ/6

e^iπ/3

e^-5iπ/6

e^iπ/6

m'₁₁

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

m'₂₁

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

m'₁₀

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

m'_1-1

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

m'₀₁

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

m'₁₂

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

^d1'

^d6⁺'

e^-iπ/6

e^5iπ/6

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-iπ/6

e^5iπ/6

^d3⁺'

e^2iπ/3

e^-iπ/3

e^2iπ/3

e^-iπ/3

e^-2iπ/3

e^2iπ/3

e^-iπ/3

e^-2iπ/3

e^2iπ/3

e^-iπ/3

^d2'

-i

-1

-i

-1

-i

^d3^-'

e^iπ/3

e^-2iπ/3

e^iπ/3

e^-2iπ/3

e^2iπ/3

e^iπ/3

e^-2iπ/3

e^2iπ/3

e^iπ/3

e^-2iπ/3

^d6^-'

e^-5iπ/6

e^iπ/6

e^-5iπ/6

e^iπ/6

e^iπ/3

e^-5iπ/6

e^iπ/6

e^iπ/3

e^-5iπ/6

e^iπ/6

^dm'₁₁

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^iπ/6

^dm'₂₁

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

e^-5iπ/6

e^iπ/3

-i

e^2iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-2iπ/3

^dm'₁₀

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^5iπ/6

e^-iπ/3

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

-i

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

-i

e^-iπ/3

e^5iπ/6

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

^dm'_1-1

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

e^5iπ/6

e^-iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^iπ/3

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

e^-5iπ/6

e^iπ/3

e^-iπ/3

e^5iπ/6

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-iπ/3

^dm'₀₁

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

e^-5iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^5iπ/6

^dm'₁₂

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

e^iπ/6

e^-2iπ/3

e^-iπ/3

e^5iπ/6

e^-iπ/6

e^2iπ/3

-i

e^iπ/3

e^-5iπ/6

Matrices of the representations of the group

The antiunitary operations are written in red color

Matrix presentation

Seitz symbol

¹E₁¹E₂

²E₂A

²E₁B

¹E₂'¹E₂''

²E₃'²E₃''

¹E₁¹E₃

²E₁²E₂

 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  0
 0  1

 1  0
 0  1

  1  -1
  1   0

  e^iπ/6   0
  0  e^-iπ/6

6⁺

 e^-iπ/3   0
  0  e^2iπ/3

  1   0
  0  e^iπ/3

  -1   0
  0  e^-2iπ/3

 e^-5iπ/6   0
  0  e^-5iπ/6

 e^iπ/6   0
  0  e^iπ/6

  i   0
  0  e^-iπ/6

  -i   0
  0  e^5iπ/6

  0  -1
  1  -1

  e^iπ/3   0
  0  e^-iπ/3

3⁺

 e^-2iπ/3   0
  0  e^-2iπ/3

  1   0
  0  e^2iπ/3

  1   0
  0  e^2iπ/3

 e^iπ/3   0
  0  e^iπ/3

 e^iπ/3   0
  0  e^iπ/3

  -1   0
  0  e^-iπ/3

  -1   0
  0  e^-iπ/3

 -1   0
  0  -1

 -i   0
  0   i

 -1   0
  0   1

  1   0
  0  -1

 -1   0
  0   1

 i  0
 0  i

 -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

  1   0
  0  e^-2iπ/3

  1   0
  0  e^-2iπ/3

 e^-iπ/3   0
  0  e^-iπ/3

 e^-iπ/3   0
  0  e^-iπ/3

  -1   0
  0  e^iπ/3

  -1   0
  0  e^iπ/3

  0   1
 -1   1

 e^-iπ/6   0
  0   e^iπ/6

6^-

  e^iπ/3   0
  0  e^-2iπ/3

  1   0
  0  e^-iπ/3

  -1   0
  0  e^2iπ/3

 e^5iπ/6   0
  0  e^5iπ/6

 e^-iπ/6   0
  0  e^-iπ/6

  -i   0
  0  e^iπ/6

  i   0
  0  e^-5iπ/6

  0  -1
 -1   0

  0  e^-2iπ/3
  e^-iπ/3   0

m₁₁

 0  1
 1  0

 0  1
 1  0

 0  1
 1  0

 -i   0
  0   i

 -i   0
  0   i

  0  -1
  1   0

  0  -1
  1   0

 -1   0
 -1   1

  0   e^iπ/6
 e^5iπ/6   0

m₂₁

  0  -i
  i   0

  0  e^-5iπ/6
  e^5iπ/6   0

  0   e^iπ/6
 e^-iπ/6   0

  i   0
  0  -i

 -i   0
  0   i

  0  e^2iπ/3
  e^iπ/3   0

  0   e^-iπ/3
 e^-2iπ/3   0

 -1   1
  0   1

  0  -1
  1   0

m₁₀

  0  -1
 -1   0

  0   e^iπ/3
 e^-iπ/3   0

  0   e^iπ/3
 e^-iπ/3   0

 -i   0
  0   i

 -i   0
  0   i

  0   e^iπ/3
 e^2iπ/3   0

  0   e^iπ/3
 e^2iπ/3   0

 0  1
 1  0

  0  e^5iπ/6
  e^iπ/6   0

m_1-1

  0   i
 -i   0

  0  -i
  i   0

  0   i
 -i   0

 -i   0
  0   i

  i   0
  0  -i

  0  -1
  1   0

  0   1
 -1   0

  1   0
  1  -1

  0  e^2iπ/3
  e^iπ/3   0

m₀₁

 0  1
 1  0

  0   e^2iπ/3
 e^-2iπ/3   0

  0   e^2iπ/3
 e^-2iπ/3   0

 -i   0
  0   i

 -i   0
  0   i

  0   e^-iπ/3
 e^-2iπ/3   0

  0   e^-iπ/3
 e^-2iπ/3   0

  1  -1
  0  -1

  0  -i
 -i   0

m₁₂

  0  -i
  i   0

  0  e^-iπ/6
  e^iπ/6   0

  0   e^5iπ/6
 e^-5iπ/6   0

  i   0
  0  -i

 -i   0
  0   i

  0  e^-2iπ/3
  e^-iπ/3   0

  0   e^iπ/3
 e^2iπ/3   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   0
  0  -1

 -1   0
  0  -1

  1  -1
  1   0

 e^-5iπ/6   0
  0   e^5iπ/6

^d6⁺

 e^-iπ/3   0
  0  e^2iπ/3

  1   0
  0  e^iπ/3

  -1   0
  0  e^-2iπ/3

 e^iπ/6   0
  0  e^iπ/6

 e^-5iπ/6   0
  0  e^-5iπ/6

  -i   0
  0  e^5iπ/6

  i   0
  0  e^-iπ/6

  0  -1
  1  -1

 e^-2iπ/3   0
  0   e^2iπ/3

^d3⁺

 e^-2iπ/3   0
  0  e^-2iπ/3

  1   0
  0  e^2iπ/3

  1   0
  0  e^2iπ/3

 e^-2iπ/3   0
  0  e^-2iπ/3

 e^-2iπ/3   0
  0  e^-2iπ/3

  1   0
  0  e^2iπ/3

  1   0
  0  e^2iπ/3

 -1   0
  0  -1

  i   0
  0  -i

^d2

 -1   0
  0   1

  1   0
  0  -1

 -1   0
  0   1

 -i   0
  0  -i

 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

  1   0
  0  e^-2iπ/3

  1   0
  0  e^-2iπ/3

 e^2iπ/3   0
  0  e^2iπ/3

 e^2iπ/3   0
  0  e^2iπ/3

  1   0
  0  e^-2iπ/3

  1   0
  0  e^-2iπ/3

  0   1
 -1   1

  e^5iπ/6   0
  0  e^-5iπ/6

^d6^-

  e^iπ/3   0
  0  e^-2iπ/3

  1   0
  0  e^-iπ/3

  -1   0
  0  e^2iπ/3

 e^-iπ/6   0
  0  e^-iπ/6

 e^5iπ/6   0
  0  e^5iπ/6

  i   0
  0  e^-5iπ/6

  -i   0
  0  e^iπ/6

  0  -1
 -1   0

  0   e^iπ/3
 e^2iπ/3   0

^dm₁₁

 0  1
 1  0

 0  1
 1  0

 0  1
 1  0

  i   0
  0  -i

  i   0
  0  -i

  0   1
 -1   0

  0   1
 -1   0

 -1   0
 -1   1

  0  e^-5iπ/6
  e^-iπ/6   0

^dm₂₁

  0  -i
  i   0

  0  e^-5iπ/6
  e^5iπ/6   0

  0   e^iπ/6
 e^-iπ/6   0

 -i   0
  0   i

  i   0
  0  -i

  0   e^-iπ/3
 e^-2iπ/3   0

  0  e^2iπ/3
  e^iπ/3   0

 -1   1
  0   1

  0   1
 -1   0

^dm₁₀

  0  -1
 -1   0

  0   e^iπ/3
 e^-iπ/3   0

  0   e^iπ/3
 e^-iπ/3   0

  i   0
  0  -i

  i   0
  0  -i

  0  e^-2iπ/3
  e^-iπ/3   0

  0  e^-2iπ/3
  e^-iπ/3   0

 0  1
 1  0

  0   e^-iπ/6
 e^-5iπ/6   0

^dm_1-1

  0   i
 -i   0

  0  -i
  i   0

  0   i
 -i   0

  i   0
  0  -i

 -i   0
  0   i

  0   1
 -1   0

  0  -1
  1   0

  1   0
  1  -1

  0   e^-iπ/3
 e^-2iπ/3   0

^dm₀₁

 0  1
 1  0

  0   e^2iπ/3
 e^-2iπ/3   0

  0   e^2iπ/3
 e^-2iπ/3   0

  i   0
  0  -i

  i   0
  0  -i

  0  e^2iπ/3
  e^iπ/3   0

  0  e^2iπ/3
  e^iπ/3   0

  1  -1
  0  -1

 0  i
 i  0

^dm₁₂

  0  -i
  i   0

  0  e^-iπ/6
  e^iπ/6   0

  0   e^5iπ/6
 e^-5iπ/6   0

 -i   0
  0   i

  i   0
  0  -i

  0   e^iπ/3
 e^2iπ/3   0

  0  e^-2iπ/3
  e^-iπ/3   0

 1  0
 0  1

 1  0
 0  1

  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   0

  1  -1
  1   0

  e^iπ/6   0
  0  e^-iπ/6

6⁺'

  0  e^2iπ/3
 e^-iπ/3   0

  0   -1
 e^-2iπ/3   0

  0   1
 e^iπ/3   0

  0  e^-iπ/6
 e^5iπ/6   0

  0  e^5iπ/6
 e^-iπ/6   0

  0   i
 e^5iπ/6   0

  0   -i
 e^-iπ/6   0

  0  -1
  1  -1

  e^iπ/3   0
  0  e^-iπ/3

3⁺'

  0  e^iπ/3
 e^iπ/3   0

  0   -1
 e^-iπ/3   0

  0   -1
 e^-iπ/3   0

  0  e^2iπ/3
 e^-iπ/3   0

  0  e^2iπ/3
 e^-iπ/3   0

  0   -1
 e^2iπ/3   0

  0   -1
 e^2iπ/3   0

 -1   0
  0  -1

 -i   0
  0   i

  0   1
 -1   0

  0  -1
  1   0

  0   1
 -1   0

  0   i
 -i   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^-'

  0  e^-iπ/3
 e^-iπ/3   0

  0   -1
 e^iπ/3   0

  0   -1
 e^iπ/3   0

  0  e^-2iπ/3
  e^iπ/3   0

  0  e^-2iπ/3
  e^iπ/3   0

  0   -1
 e^-2iπ/3   0

  0   -1
 e^-2iπ/3   0

  0   1
 -1   1

 e^-iπ/6   0
  0   e^iπ/6

6^-'

  0  e^-2iπ/3
  e^iπ/3   0

  0   -1
 e^2iπ/3   0

  0   1
 e^-iπ/3   0

  0   e^iπ/6
 e^-5iπ/6   0

  0  e^-5iπ/6
  e^iπ/6   0

  0   -i
 e^-5iπ/6   0

  0   i
 e^iπ/6   0

  0  -1
 -1   0

  0  e^-2iπ/3
  e^-iπ/3   0

m'₁₁

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
  0  -1

 0  i
 i  0

 0  i
 i  0

 1  0
 0  1

 1  0
 0  1

 -1   0
 -1   1

  0   e^iπ/6
 e^5iπ/6   0

m'₂₁

  i   0
  0  -i

  e^iπ/6   0
  0  e^-iπ/6

 e^-5iπ/6   0
  0   e^5iπ/6

  0  -i
 -i   0

 0  i
 i  0

 e^-iπ/3   0
  0   e^iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

 -1   1
  0   1

  0  -1
  1   0

m'₁₀

 1  0
 0  1

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 0  i
 i  0

 0  i
 i  0

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 0  1
 1  0

  0  e^5iπ/6
  e^iπ/6   0

m'_1-1

 -i   0
  0   i

  i   0
  0  -i

 -i   0
  0   i

 0  i
 i  0

  0  -i
 -i   0

 1  0
 0  1

 -1   0
  0  -1

  1   0
  1  -1

  0  e^2iπ/3
  e^iπ/3   0

m'₀₁

 -1   0
  0  -1

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 0  i
 i  0

 0  i
 i  0

  e^2iπ/3   0
  0  e^-2iπ/3

  e^2iπ/3   0
  0  e^-2iπ/3

  1  -1
  0  -1

  0  -i
 -i   0

m'₁₂

  i   0
  0  -i

  e^5iπ/6   0
  0  e^-5iπ/6

 e^-iπ/6   0
  0   e^iπ/6

  0  -i
 -i   0

 0  i
 i  0

  e^iπ/3   0
  0  e^-iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

 1  0
 0  1

 -1   0
  0  -1

^d1'

  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   0

  1  -1
  1   0

 e^-5iπ/6   0
  0   e^5iπ/6

^d6⁺'

  0  e^2iπ/3
 e^-iπ/3   0

  0   -1
 e^-2iπ/3   0

  0   1
 e^iπ/3   0

  0  e^5iπ/6
 e^-iπ/6   0

  0  e^-iπ/6
 e^5iπ/6   0

  0   -i
 e^-iπ/6   0

  0   i
 e^5iπ/6   0

  0  -1
  1  -1

 e^-2iπ/3   0
  0   e^2iπ/3

^d3⁺'

  0  e^iπ/3
 e^iπ/3   0

  0   -1
 e^-iπ/3   0

  0   -1
 e^-iπ/3   0

  0  e^-iπ/3
 e^2iπ/3   0

  0  e^-iπ/3
 e^2iπ/3   0

  0   1
 e^-iπ/3   0

  0   1
 e^-iπ/3   0

 -1   0
  0  -1

  i   0
  0  -i

^d2'

  0   1
 -1   0

  0  -1
  1   0

  0   1
 -1   0

  0  -i
  i   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^-'

  0  e^-iπ/3
 e^-iπ/3   0

  0   -1
 e^iπ/3   0

  0   -1
 e^iπ/3   0

  0   e^iπ/3
 e^-2iπ/3   0

  0   e^iπ/3
 e^-2iπ/3   0

  0   1
 e^iπ/3   0

  0   1
 e^iπ/3   0

  0   1
 -1   1

  e^5iπ/6   0
  0  e^-5iπ/6

^d6^-'

  0  e^-2iπ/3
  e^iπ/3   0

  0   -1
 e^2iπ/3   0

  0   1
 e^-iπ/3   0

  0  e^-5iπ/6
  e^iπ/6   0

  0   e^iπ/6
 e^-5iπ/6   0

  0   i
 e^iπ/6   0

  0   -i
 e^-5iπ/6   0

  0  -1
 -1   0

  0   e^iπ/3
 e^2iπ/3   0

^dm'₁₁

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
  0  -1

  0  -i
 -i   0

  0  -i
 -i   0

 -1   0
  0  -1

 -1   0
  0  -1

 -1   0
 -1   1

  0  e^-5iπ/6
  e^-iπ/6   0

^dm'₂₁

  i   0
  0  -i

  e^iπ/6   0
  0  e^-iπ/6

 e^-5iπ/6   0
  0   e^5iπ/6

 0  i
 i  0

  0  -i
 -i   0

  e^2iπ/3   0
  0  e^-2iπ/3

 e^-iπ/3   0
  0   e^iπ/3

 -1   1
  0   1

  0   1
 -1   0

^dm'₁₀

 1  0
 0  1

 e^-2iπ/3   0
  0   e^2iπ/3

 e^-2iπ/3   0
  0   e^2iπ/3

  0  -i
 -i   0

  0  -i
 -i   0

  e^iπ/3   0
  0  e^-iπ/3

  e^iπ/3   0
  0  e^-iπ/3

 0  1
 1  0

  0   e^-iπ/6
 e^-5iπ/6   0

^dm'_1-1

 -i   0
  0   i

  i   0
  0  -i

 -i   0
  0   i

  0  -i
 -i   0

 0  i
 i  0

 -1   0
  0  -1

 1  0
 0  1

  1   0
  1  -1

  0   e^-iπ/3
 e^-2iπ/3   0

^dm'₀₁

 -1   0
  0  -1

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

  0  -i
 -i   0

  0  -i
 -i   0

 e^-iπ/3   0
  0   e^iπ/3

 e^-iπ/3   0
  0   e^iπ/3

  1  -1
  0  -1

 0  i
 i  0

^dm'₁₂

  i   0
  0  -i

  e^5iπ/6   0
  0  e^-5iπ/6

 e^-iπ/6   0
  0   e^iπ/6

 0  i
 i  0

  0  -i
 -i   0

 e^-2iπ/3   0
  0   e^2iπ/3

  e^iπ/3   0
  0  e^-iπ/3

k-Subgroupsmag

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

For comments, please mail to
administrador.bcs@ehu.eus

Irreducible corepresentations of the Projective Magnetic Point Group 65π/3mm1'

Table of characters of the unitary symmetry operations

Multiplication table of the symmetry operations

Table of projective phases in group multiplication

Matrices of the representations of the group

Irreducible corepresentations of the Projective Magnetic Point Group 6_5π/3mm1'