Spin Space Group Information

The continuously infinite group ^∞1 is omitted.

Coordinates	Seitz symbol
a, b, c \| x, y, z	{ 1 ‖ 1 \| 0 }
a-b, a, c \| x, y, z	{ 1 ‖ 6⁺₀₀₁ \| 0 }
-b, a-b, c \| x, y, z	{ 1 ‖ 3⁺₀₀₁ \| 0 }
-a, -b, c \| x, y, z	{ 1 ‖ 2₀₀₁ \| 0 }
-a+b, -a, c \| x, y, z	{ 1 ‖ 3^-₀₀₁ \| 0 }
b, -a+b, c \| x, y, z	{ 1 ‖ 6^-₀₀₁ \| 0 }
a-b, -b, -c \| x, y, z	{ 1 ‖ 2₁₀₀ \| 0 }
b, a, -c \| x, y, z	{ 1 ‖ 2₁₁₀ \| 0 }
-a, -a+b, -c \| x, y, z	{ 1 ‖ 2₀₁₀ \| 0 }
a, a-b, -c \| x, y, z	{ 1 ‖ 2₂₁₀ \| 0 }
-a+b, b, -c \| x, y, z	{ 1 ‖ 2₁₂₀ \| 0 }
-b, -a, -c \| x, y, z	{ 1 ‖ 2_1-10 \| 0 }
-a, -b, -c \| x, y, z	{ 1 ‖ -1 \| 0 }
-a+b, -a, -c \| x, y, z	{ 1 ‖ -6⁺₀₀₁ \| 0 }
b, -a+b, -c \| x, y, z	{ 1 ‖ -3⁺₀₀₁ \| 0 }
a, b, -c \| x, y, z	{ 1 ‖ m₀₀₁ \| 0 }
a-b, a, -c \| x, y, z	{ 1 ‖ -3^-₀₀₁ \| 0 }
-b, a-b, -c \| x, y, z	{ 1 ‖ -6^-₀₀₁ \| 0 }
-a+b, b, c \| x, y, z	{ 1 ‖ m₁₀₀ \| 0 }
-b, -a, c \| x, y, z	{ 1 ‖ m₁₁₀ \| 0 }
a, a-b, c \| x, y, z	{ 1 ‖ m₀₁₀ \| 0 }
-a, -a+b, c \| x, y, z	{ 1 ‖ m₂₁₀ \| 0 }
a-b, -b, c \| x, y, z	{ 1 ‖ m₁₂₀ \| 0 }
b, a, c \| x, y, z	{ 1 ‖ m_1-10 \| 0 }
a, b, c \| -x, y, z	{ m ‖ 1 \| 0 }
a-b, a, c \| -x, y, z	{ m ‖ 6⁺₀₀₁ \| 0 }
-b, a-b, c \| -x, y, z	{ m ‖ 3⁺₀₀₁ \| 0 }
-a, -b, c \| -x, y, z	{ m ‖ 2₀₀₁ \| 0 }
-a+b, -a, c \| -x, y, z	{ m ‖ 3^-₀₀₁ \| 0 }
b, -a+b, c \| -x, y, z	{ m ‖ 6^-₀₀₁ \| 0 }
a-b, -b, -c \| -x, y, z	{ m ‖ 2₁₀₀ \| 0 }
b, a, -c \| -x, y, z	{ m ‖ 2₁₁₀ \| 0 }
-a, -a+b, -c \| -x, y, z	{ m ‖ 2₀₁₀ \| 0 }
a, a-b, -c \| -x, y, z	{ m ‖ 2₂₁₀ \| 0 }
-a+b, b, -c \| -x, y, z	{ m ‖ 2₁₂₀ \| 0 }
-b, -a, -c \| -x, y, z	{ m ‖ 2_1-10 \| 0 }
-a, -b, -c \| -x, y, z	{ m ‖ -1 \| 0 }
-a+b, -a, -c \| -x, y, z	{ m ‖ -6⁺₀₀₁ \| 0 }
b, -a+b, -c \| -x, y, z	{ m ‖ -3⁺₀₀₁ \| 0 }
a, b, -c \| -x, y, z	{ m ‖ m₀₀₁ \| 0 }
a-b, a, -c \| -x, y, z	{ m ‖ -3^-₀₀₁ \| 0 }
-b, a-b, -c \| -x, y, z	{ m ‖ -6^-₀₀₁ \| 0 }
-a+b, b, c \| -x, y, z	{ m ‖ m₁₀₀ \| 0 }
-b, -a, c \| -x, y, z	{ m ‖ m₁₁₀ \| 0 }
a, a-b, c \| -x, y, z	{ m ‖ m₀₁₀ \| 0 }
-a, -a+b, c \| -x, y, z	{ m ‖ m₂₁₀ \| 0 }
a-b, -b, c \| -x, y, z	{ m ‖ m₁₂₀ \| 0 }
b, a, c \| -x, y, z	{ m ‖ m_1-10 \| 0 }

WP	Site symmetry	Representative
1a	$\ce{^{1}{6}}/\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(0,0,0 \|0,0,z)
1b	$\ce{^{1}{6}}/\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(0,0,1/2 \|0,0,z)
2c	$\ce{^{1}{-6}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $	(1/3,2/3,0 \|0,0,z)
2d	$\ce{^{1}{-6}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $	(1/3,2/3,1/2 \|0,0,z)
2e	$\ce{^{1}{6}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(0,0,c \|0,0,z)
3f	$\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(1/2,0,0 \|0,0,z)
3g	$\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(1/2,0,1/2 \|0,0,z)
4h	$\ce{^{1}{3}}\ce{^{1}{m}}.\ce{^{\infty m}{1}} $	(1/3,2/3,c \|0,0,z)
6i	$\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(1/2,0,c \|0,0,z)
6j	$\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(a,0,0 \|0,0,z)
6k	$\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(a,0,1/2 \|0,0,z)
6l	$\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $	(a,2a,0 \|0,0,z)
6m	$\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $	(a,2a,1/2 \|0,0,z)
12n	$..\ce{^{1}{m}}\ce{^{\infty m}{1}} $	(a,0,c \|0,0,z)
12o	$.\ce{^{1}{m}}.\ce{^{\infty m}{1}} $	(a,2a,c \|0,0,z)
12p	$\ce{^{1}{m}}..\ce{^{\infty m}{1}} $	(a,b,0 \|0,0,z)
12q	$\ce{^{1}{m}}..\ce{^{\infty m}{1}} $	(a,b,1/2 \|0,0,z)
24r	$\ce{^{1}{1}}\ce{^{\infty m}{1}} $	(a,b,c \|0,0,z)

Wavevector-k	Little co-group
A:(0,0,1/2)	$\ce{^{1}{6/}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $
Γ:(0,0,0)	$\ce{^{1}{6/}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $
H:(1/3,1/3,1/2)	$\ce{^{m}{6/}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
K:(1/3,1/3,0)	$\ce{^{m}{6/}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
L:(1/2,0,1/2)	$\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $
M:(1/2,0,0)	$\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $
Δ:(0,0,w)	$\ce{^{1}{6/}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
P:(1/3,1/3,w)	$\ce{^{m}{-3}}\ce{^{1}{1}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
Λ:(u,u,0)	$\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
Σ:(u,0,0)	$\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
Q:(u,u,1/2)	$\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
R:(u,0,1/2)	$\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
U:(1/2,0,w)	$\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{\infty}{1}} $
B:(u,v,0)	$\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
C:(u,u,w)	$\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
D:(u,0,w)	$\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
E:(u,v,1/2)	$\ce{^{m}{2/}}\ce{^{1}{m}}\ce{^{\infty}{1}} $
GP:(u,v,w)	$\ce{^{m}{-1}}\ce{^{\infty}{1}}$

Spin Brillouin Zone

k-vector	A'↑G(12)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{2}^{S,-}(1)⊕A_{3}^{S,-}(1)⊕A_{4}^{S,+}(1)⊕A_{5}^{S,+}(2)⊕A_{5}^{S,-}(2)⊕A_{6}^{S,+}(2)⊕A_{6}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{5}^{S,-}(2)⊕Γ_{6}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$2H_{1}^{S}(1)⊕2H_{3}^{S}(1)⊕2H_{5}^{S}(2)⊕2H_{6}^{S}(2) $
K:(1/3,1/3,0)	$2K_{1}^{S}(1)⊕2K_{3}^{S}(1)⊕2K_{5}^{S}(2)⊕2K_{6}^{S}(2) $
L:(1/2,0,1/2)	$2L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1)⊕L_{2}^{S,+}(1)⊕2L_{2}^{S,-}(1)⊕L_{3}^{S,+}(1)⊕2L_{3}^{S,-}(1)⊕2L_{4}^{S,+}(1)⊕L_{4}^{S,-}(1) $
M:(1/2,0,0)	$2M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕2M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕2M_{3}^{S,-}(1)⊕2M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$2Δ_{1}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{5}^{S}(2)⊕2Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$4P_{1}^{S}(1)⊕4P_{3}^{S}(2) $
Λ:(u,u,0)	$4Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕4Λ_{3}^{S}(1)⊕2Λ_{4}^{S}(1) $
Σ:(u,0,0)	$3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1)⊕3Σ_{3}^{S}(1)⊕3Σ_{4}^{S}(1) $
Q:(u,u,1/2)	$4Q_{1}^{S}(1)⊕2Q_{2}^{S}(1)⊕4Q_{3}^{S}(1)⊕2Q_{4}^{S}(1) $
R:(u,0,1/2)	$3R_{1}^{S}(1)⊕3R_{2}^{S}(1)⊕3R_{3}^{S}(1)⊕3R_{4}^{S}(1) $
U:(1/2,0,w)	$4U_{1}^{S}(1)⊕2U_{2}^{S}(1)⊕4U_{3}^{S}(1)⊕2U_{4}^{S}(1) $
B:(u,v,0)	$6B_{1}^{S}(1)⊕6B_{2}^{S}(1) $
C:(u,u,w)	$8C_{1}^{S}(1)⊕4C_{2}^{S}(1) $
D:(u,0,w)	$6D_{1}^{S}(1)⊕6D_{2}^{S}(1) $
E:(u,v,1/2)	$6E_{1}^{S}(1)⊕6E_{2}^{S}(1) $
GP:(u,v,w)	$12GP_{1}^{S}(1) $

k-vector	A'↑G(12)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{2}^{S,-}(1)⊕A_{3}^{S,+}(1)⊕A_{4}^{S,-}(1)⊕A_{5}^{S,+}(2)⊕A_{5}^{S,-}(2)⊕A_{6}^{S,+}(2)⊕A_{6}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{4}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{5}^{S,-}(2)⊕Γ_{6}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$H_{1}^{S}(1)⊕H_{2}^{S}(1)⊕H_{3}^{S}(1)⊕H_{4}^{S}(1)⊕2H_{5}^{S}(2)⊕2H_{6}^{S}(2) $
K:(1/3,1/3,0)	$K_{1}^{S}(1)⊕K_{2}^{S}(1)⊕K_{3}^{S}(1)⊕K_{4}^{S}(1)⊕2K_{5}^{S}(2)⊕2K_{6}^{S}(2) $
L:(1/2,0,1/2)	$2L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1)⊕L_{2}^{S,+}(1)⊕2L_{2}^{S,-}(1)⊕2L_{3}^{S,+}(1)⊕L_{3}^{S,-}(1)⊕L_{4}^{S,+}(1)⊕2L_{4}^{S,-}(1) $
M:(1/2,0,0)	$2M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕2M_{2}^{S,-}(1)⊕2M_{3}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕2M_{4}^{S,-}(1) $
Δ:(0,0,w)	$2Δ_{1}^{S}(1)⊕2Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(2)⊕2Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕4P_{3}^{S}(2) $
Λ:(u,u,0)	$3Λ_{1}^{S}(1)⊕3Λ_{2}^{S}(1)⊕3Λ_{3}^{S}(1)⊕3Λ_{4}^{S}(1) $
Σ:(u,0,0)	$4Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕4Σ_{3}^{S}(1)⊕2Σ_{4}^{S}(1) $
Q:(u,u,1/2)	$3Q_{1}^{S}(1)⊕3Q_{2}^{S}(1)⊕3Q_{3}^{S}(1)⊕3Q_{4}^{S}(1) $
R:(u,0,1/2)	$4R_{1}^{S}(1)⊕2R_{2}^{S}(1)⊕4R_{3}^{S}(1)⊕2R_{4}^{S}(1) $
U:(1/2,0,w)	$4U_{1}^{S}(1)⊕2U_{2}^{S}(1)⊕2U_{3}^{S}(1)⊕4U_{4}^{S}(1) $
B:(u,v,0)	$6B_{1}^{S}(1)⊕6B_{2}^{S}(1) $
C:(u,u,w)	$6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $
D:(u,0,w)	$8D_{1}^{S}(1)⊕4D_{2}^{S}(1) $
E:(u,v,1/2)	$6E_{1}^{S}(1)⊕6E_{2}^{S}(1) $
GP:(u,v,w)	$12GP_{1}^{S}(1) $

k-vector	A'↑G(12)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{2}^{S,+}(1)⊕A_{3}^{S,-}(1)⊕A_{4}^{S,-}(1)⊕2A_{5}^{S,+}(2)⊕2A_{6}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1)⊕2Γ_{5}^{S,+}(2)⊕2Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$2H_{1}^{S}(1)⊕2H_{4}^{S}(1)⊕4H_{5}^{S}(2) $
K:(1/3,1/3,0)	$2K_{1}^{S}(1)⊕2K_{4}^{S}(1)⊕4K_{5}^{S}(2) $
L:(1/2,0,1/2)	$3L_{1}^{S,+}(1)⊕3L_{2}^{S,+}(1)⊕3L_{3}^{S,-}(1)⊕3L_{4}^{S,-}(1) $
M:(1/2,0,0)	$3M_{1}^{S,+}(1)⊕3M_{2}^{S,+}(1)⊕3M_{3}^{S,-}(1)⊕3M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(2)⊕2Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕4P_{3}^{S}(2) $
Λ:(u,u,0)	$6Λ_{1}^{S}(1)⊕6Λ_{4}^{S}(1) $
Σ:(u,0,0)	$6Σ_{1}^{S}(1)⊕6Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$6Q_{1}^{S}(1)⊕6Q_{4}^{S}(1) $
R:(u,0,1/2)	$6R_{1}^{S}(1)⊕6R_{2}^{S}(1) $
U:(1/2,0,w)	$3U_{1}^{S}(1)⊕3U_{2}^{S}(1)⊕3U_{3}^{S}(1)⊕3U_{4}^{S}(1) $
B:(u,v,0)	$12B_{1}^{S}(1) $
C:(u,u,w)	$6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $
D:(u,0,w)	$6D_{1}^{S}(1)⊕6D_{2}^{S}(1) $
E:(u,v,1/2)	$12E_{1}^{S}(1) $
GP:(u,v,w)	$12GP_{1}^{S}(1) $

k-vector	A'↑G(12)
A:(0,0,1/2)	$A_{1}^{S,-}(1)⊕A_{2}^{S,-}(1)⊕A_{3}^{S,+}(1)⊕A_{4}^{S,+}(1)⊕2A_{5}^{S,-}(2)⊕2A_{6}^{S,+}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,-}(1)⊕2Γ_{5}^{S,+}(2)⊕2Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$2H_{2}^{S}(1)⊕2H_{3}^{S}(1)⊕4H_{6}^{S}(2) $
K:(1/3,1/3,0)	$2K_{1}^{S}(1)⊕2K_{4}^{S}(1)⊕4K_{5}^{S}(2) $
L:(1/2,0,1/2)	$3L_{1}^{S,-}(1)⊕3L_{2}^{S,-}(1)⊕3L_{3}^{S,+}(1)⊕3L_{4}^{S,+}(1) $
M:(1/2,0,0)	$3M_{1}^{S,+}(1)⊕3M_{2}^{S,+}(1)⊕3M_{3}^{S,-}(1)⊕3M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(2)⊕2Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$2P_{1}^{S}(1)⊕2P_{2}^{S}(1)⊕4P_{3}^{S}(2) $
Λ:(u,u,0)	$6Λ_{1}^{S}(1)⊕6Λ_{4}^{S}(1) $
Σ:(u,0,0)	$6Σ_{1}^{S}(1)⊕6Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$6Q_{2}^{S}(1)⊕6Q_{3}^{S}(1) $
R:(u,0,1/2)	$6R_{3}^{S}(1)⊕6R_{4}^{S}(1) $
U:(1/2,0,w)	$3U_{1}^{S}(1)⊕3U_{2}^{S}(1)⊕3U_{3}^{S}(1)⊕3U_{4}^{S}(1) $
B:(u,v,0)	$12B_{1}^{S}(1) $
C:(u,u,w)	$6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $
D:(u,0,w)	$6D_{1}^{S}(1)⊕6D_{2}^{S}(1) $
E:(u,v,1/2)	$12E_{2}^{S}(1) $
GP:(u,v,w)	$12GP_{1}^{S}(1) $

k-vector	A1g↑G(1)
A:(0,0,1/2)	$A_{1}^{S,+}(1) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1) $
H:(1/3,1/3,1/2)	$H_{1}^{S}(1) $
K:(1/3,1/3,0)	$K_{1}^{S}(1) $
L:(1/2,0,1/2)	$L_{1}^{S,+}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1) $
P:(1/3,1/3,w)	$P_{1}^{S}(1) $
Λ:(u,u,0)	$Λ_{1}^{S}(1) $
Σ:(u,0,0)	$Σ_{1}^{S}(1) $
Q:(u,u,1/2)	$Q_{1}^{S}(1) $
R:(u,0,1/2)	$R_{1}^{S}(1) $
U:(1/2,0,w)	$U_{1}^{S}(1) $
B:(u,v,0)	$B_{1}^{S}(1) $
C:(u,u,w)	$C_{1}^{S}(1) $
D:(u,0,w)	$D_{1}^{S}(1) $
E:(u,v,1/2)	$E_{1}^{S}(1) $
GP:(u,v,w)	$GP_{1}^{S}(1) $

k-vector	A1g↑G(1)
A:(0,0,1/2)	$A_{2}^{S,-}(1) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1) $
H:(1/3,1/3,1/2)	$H_{3}^{S}(1) $
K:(1/3,1/3,0)	$K_{1}^{S}(1) $
L:(1/2,0,1/2)	$L_{2}^{S,-}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1) $
P:(1/3,1/3,w)	$P_{1}^{S}(1) $
Λ:(u,u,0)	$Λ_{1}^{S}(1) $
Σ:(u,0,0)	$Σ_{1}^{S}(1) $
Q:(u,u,1/2)	$Q_{3}^{S}(1) $
R:(u,0,1/2)	$R_{3}^{S}(1) $
U:(1/2,0,w)	$U_{1}^{S}(1) $
B:(u,v,0)	$B_{1}^{S}(1) $
C:(u,u,w)	$C_{1}^{S}(1) $
D:(u,0,w)	$D_{1}^{S}(1) $
E:(u,v,1/2)	$E_{2}^{S}(1) $
GP:(u,v,w)	$GP_{1}^{S}(1) $

k-vector	A↑G(24)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{1}^{S,-}(1)⊕A_{2}^{S,+}(1)⊕A_{2}^{S,-}(1)⊕A_{3}^{S,+}(1)⊕A_{3}^{S,-}(1)⊕A_{4}^{S,+}(1)⊕A_{4}^{S,-}(1)⊕2A_{5}^{S,+}(2)⊕2A_{5}^{S,-}(2)⊕2A_{6}^{S,+}(2)⊕2A_{6}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{4}^{S,+}(1)⊕Γ_{4}^{S,-}(1)⊕2Γ_{5}^{S,+}(2)⊕2Γ_{5}^{S,-}(2)⊕2Γ_{6}^{S,+}(2)⊕2Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$2H_{1}^{S}(1)⊕2H_{2}^{S}(1)⊕2H_{3}^{S}(1)⊕2H_{4}^{S}(1)⊕4H_{5}^{S}(2)⊕4H_{6}^{S}(2) $
K:(1/3,1/3,0)	$2K_{1}^{S}(1)⊕2K_{2}^{S}(1)⊕2K_{3}^{S}(1)⊕2K_{4}^{S}(1)⊕4K_{5}^{S}(2)⊕4K_{6}^{S}(2) $
L:(1/2,0,1/2)	$3L_{1}^{S,+}(1)⊕3L_{1}^{S,-}(1)⊕3L_{2}^{S,+}(1)⊕3L_{2}^{S,-}(1)⊕3L_{3}^{S,+}(1)⊕3L_{3}^{S,-}(1)⊕3L_{4}^{S,+}(1)⊕3L_{4}^{S,-}(1) $
M:(1/2,0,0)	$3M_{1}^{S,+}(1)⊕3M_{1}^{S,-}(1)⊕3M_{2}^{S,+}(1)⊕3M_{2}^{S,-}(1)⊕3M_{3}^{S,+}(1)⊕3M_{3}^{S,-}(1)⊕3M_{4}^{S,+}(1)⊕3M_{4}^{S,-}(1) $
Δ:(0,0,w)	$2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1)⊕4Δ_{5}^{S}(2)⊕4Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$4P_{1}^{S}(1)⊕4P_{2}^{S}(1)⊕8P_{3}^{S}(2) $
Λ:(u,u,0)	$6Λ_{1}^{S}(1)⊕6Λ_{2}^{S}(1)⊕6Λ_{3}^{S}(1)⊕6Λ_{4}^{S}(1) $
Σ:(u,0,0)	$6Σ_{1}^{S}(1)⊕6Σ_{2}^{S}(1)⊕6Σ_{3}^{S}(1)⊕6Σ_{4}^{S}(1) $
Q:(u,u,1/2)	$6Q_{1}^{S}(1)⊕6Q_{2}^{S}(1)⊕6Q_{3}^{S}(1)⊕6Q_{4}^{S}(1) $
R:(u,0,1/2)	$6R_{1}^{S}(1)⊕6R_{2}^{S}(1)⊕6R_{3}^{S}(1)⊕6R_{4}^{S}(1) $
U:(1/2,0,w)	$6U_{1}^{S}(1)⊕6U_{2}^{S}(1)⊕6U_{3}^{S}(1)⊕6U_{4}^{S}(1) $
B:(u,v,0)	$12B_{1}^{S}(1)⊕12B_{2}^{S}(1) $
C:(u,u,w)	$12C_{1}^{S}(1)⊕12C_{2}^{S}(1) $
D:(u,0,w)	$12D_{1}^{S}(1)⊕12D_{2}^{S}(1) $
E:(u,v,1/2)	$12E_{1}^{S}(1)⊕12E_{2}^{S}(1) $
GP:(u,v,w)	$24GP_{1}^{S}(1) $

k-vector	A1'↑G(2)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{4}^{S,-}(1) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $
H:(1/3,1/3,1/2)	$H_{5}^{S}(2) $
K:(1/3,1/3,0)	$K_{5}^{S}(2) $
L:(1/2,0,1/2)	$L_{1}^{S,+}(1)⊕L_{4}^{S,-}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $
P:(1/3,1/3,w)	$P_{3}^{S}(2) $
Λ:(u,u,0)	$Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $
Σ:(u,0,0)	$2Σ_{1}^{S}(1) $
Q:(u,u,1/2)	$Q_{1}^{S}(1)⊕Q_{4}^{S}(1) $
R:(u,0,1/2)	$2R_{1}^{S}(1) $
U:(1/2,0,w)	$U_{1}^{S}(1)⊕U_{4}^{S}(1) $
B:(u,v,0)	$2B_{1}^{S}(1) $
C:(u,u,w)	$C_{1}^{S}(1)⊕C_{2}^{S}(1) $
D:(u,0,w)	$2D_{1}^{S}(1) $
E:(u,v,1/2)	$2E_{1}^{S}(1) $
GP:(u,v,w)	$2GP_{1}^{S}(1) $

k-vector	A1'↑G(2)
A:(0,0,1/2)	$A_{2}^{S,-}(1)⊕A_{3}^{S,+}(1) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $
H:(1/3,1/3,1/2)	$H_{6}^{S}(2) $
K:(1/3,1/3,0)	$K_{5}^{S}(2) $
L:(1/2,0,1/2)	$L_{2}^{S,-}(1)⊕L_{3}^{S,+}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1) $
P:(1/3,1/3,w)	$P_{3}^{S}(2) $
Λ:(u,u,0)	$Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $
Σ:(u,0,0)	$2Σ_{1}^{S}(1) $
Q:(u,u,1/2)	$Q_{2}^{S}(1)⊕Q_{3}^{S}(1) $
R:(u,0,1/2)	$2R_{3}^{S}(1) $
U:(1/2,0,w)	$U_{1}^{S}(1)⊕U_{4}^{S}(1) $
B:(u,v,0)	$2B_{1}^{S}(1) $
C:(u,u,w)	$C_{1}^{S}(1)⊕C_{2}^{S}(1) $
D:(u,0,w)	$2D_{1}^{S}(1) $
E:(u,v,1/2)	$2E_{2}^{S}(1) $
GP:(u,v,w)	$2GP_{1}^{S}(1) $

k-vector	A1↑G(2)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{2}^{S,-}(1) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $
H:(1/3,1/3,1/2)	$H_{1}^{S}(1)⊕H_{3}^{S}(1) $
K:(1/3,1/3,0)	$K_{1}^{S}(1)⊕K_{3}^{S}(1) $
L:(1/2,0,1/2)	$L_{1}^{S,+}(1)⊕L_{2}^{S,-}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1)⊕M_{2}^{S,-}(1) $
Δ:(0,0,w)	$2Δ_{1}^{S}(1) $
P:(1/3,1/3,w)	$2P_{1}^{S}(1) $
Λ:(u,u,0)	$Λ_{1}^{S}(1)⊕Λ_{3}^{S}(1) $
Σ:(u,0,0)	$Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $
Q:(u,u,1/2)	$Q_{1}^{S}(1)⊕Q_{3}^{S}(1) $
R:(u,0,1/2)	$R_{1}^{S}(1)⊕R_{3}^{S}(1) $
U:(1/2,0,w)	$2U_{1}^{S}(1) $
B:(u,v,0)	$B_{1}^{S}(1)⊕B_{2}^{S}(1) $
C:(u,u,w)	$2C_{1}^{S}(1) $
D:(u,0,w)	$2D_{1}^{S}(1) $
E:(u,v,1/2)	$E_{1}^{S}(1)⊕E_{2}^{S}(1) $
GP:(u,v,w)	$2GP_{1}^{S}(1) $

k-vector	Ag↑G(3)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{5}^{S,+}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{5}^{S,+}(2) $
H:(1/3,1/3,1/2)	$H_{1}^{S}(1)⊕H_{5}^{S}(2) $
K:(1/3,1/3,0)	$K_{1}^{S}(1)⊕K_{5}^{S}(2) $
L:(1/2,0,1/2)	$L_{1}^{S,+}(1)⊕L_{3}^{S,-}(1)⊕L_{4}^{S,-}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{5}^{S}(2) $
P:(1/3,1/3,w)	$P_{1}^{S}(1)⊕P_{3}^{S}(2) $
Λ:(u,u,0)	$2Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $
Σ:(u,0,0)	$2Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$2Q_{1}^{S}(1)⊕Q_{4}^{S}(1) $
R:(u,0,1/2)	$2R_{1}^{S}(1)⊕R_{2}^{S}(1) $
U:(1/2,0,w)	$U_{1}^{S}(1)⊕U_{3}^{S}(1)⊕U_{4}^{S}(1) $
B:(u,v,0)	$3B_{1}^{S}(1) $
C:(u,u,w)	$2C_{1}^{S}(1)⊕C_{2}^{S}(1) $
D:(u,0,w)	$2D_{1}^{S}(1)⊕D_{2}^{S}(1) $
E:(u,v,1/2)	$3E_{1}^{S}(1) $
GP:(u,v,w)	$3GP_{1}^{S}(1) $

k-vector	Ag↑G(3)
A:(0,0,1/2)	$A_{2}^{S,-}(1)⊕A_{5}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{5}^{S,+}(2) $
H:(1/3,1/3,1/2)	$H_{3}^{S}(1)⊕H_{6}^{S}(2) $
K:(1/3,1/3,0)	$K_{1}^{S}(1)⊕K_{5}^{S}(2) $
L:(1/2,0,1/2)	$L_{2}^{S,-}(1)⊕L_{3}^{S,+}(1)⊕L_{4}^{S,+}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{5}^{S}(2) $
P:(1/3,1/3,w)	$P_{1}^{S}(1)⊕P_{3}^{S}(2) $
Λ:(u,u,0)	$2Λ_{1}^{S}(1)⊕Λ_{4}^{S}(1) $
Σ:(u,0,0)	$2Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$Q_{2}^{S}(1)⊕2Q_{3}^{S}(1) $
R:(u,0,1/2)	$2R_{3}^{S}(1)⊕R_{4}^{S}(1) $
U:(1/2,0,w)	$U_{1}^{S}(1)⊕U_{3}^{S}(1)⊕U_{4}^{S}(1) $
B:(u,v,0)	$3B_{1}^{S}(1) $
C:(u,u,w)	$2C_{1}^{S}(1)⊕C_{2}^{S}(1) $
D:(u,0,w)	$2D_{1}^{S}(1)⊕D_{2}^{S}(1) $
E:(u,v,1/2)	$3E_{2}^{S}(1) $
GP:(u,v,w)	$3GP_{1}^{S}(1) $

k-vector	A1↑G(4)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{2}^{S,-}(1)⊕A_{3}^{S,+}(1)⊕A_{4}^{S,-}(1) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(1)⊕Γ_{4}^{S,-}(1) $
H:(1/3,1/3,1/2)	$H_{5}^{S}(2)⊕H_{6}^{S}(2) $
K:(1/3,1/3,0)	$K_{5}^{S}(2)⊕K_{6}^{S}(2) $
L:(1/2,0,1/2)	$L_{1}^{S,+}(1)⊕L_{2}^{S,-}(1)⊕L_{3}^{S,+}(1)⊕L_{4}^{S,-}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$2Δ_{1}^{S}(1)⊕2Δ_{4}^{S}(1) $
P:(1/3,1/3,w)	$2P_{3}^{S}(2) $
Λ:(u,u,0)	$Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕Λ_{3}^{S}(1)⊕Λ_{4}^{S}(1) $
Σ:(u,0,0)	$2Σ_{1}^{S}(1)⊕2Σ_{3}^{S}(1) $
Q:(u,u,1/2)	$Q_{1}^{S}(1)⊕Q_{2}^{S}(1)⊕Q_{3}^{S}(1)⊕Q_{4}^{S}(1) $
R:(u,0,1/2)	$2R_{1}^{S}(1)⊕2R_{3}^{S}(1) $
U:(1/2,0,w)	$2U_{1}^{S}(1)⊕2U_{4}^{S}(1) $
B:(u,v,0)	$2B_{1}^{S}(1)⊕2B_{2}^{S}(1) $
C:(u,u,w)	$2C_{1}^{S}(1)⊕2C_{2}^{S}(1) $
D:(u,0,w)	$4D_{1}^{S}(1) $
E:(u,v,1/2)	$2E_{1}^{S}(1)⊕2E_{2}^{S}(1) $
GP:(u,v,w)	$4GP_{1}^{S}(1) $

k-vector	A1↑G(6)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{2}^{S,-}(1)⊕A_{5}^{S,+}(2)⊕A_{5}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{5}^{S,-}(2) $
H:(1/3,1/3,1/2)	$H_{1}^{S}(1)⊕H_{3}^{S}(1)⊕H_{5}^{S}(2)⊕H_{6}^{S}(2) $
K:(1/3,1/3,0)	$K_{1}^{S}(1)⊕K_{3}^{S}(1)⊕K_{5}^{S}(2)⊕K_{6}^{S}(2) $
L:(1/2,0,1/2)	$L_{1}^{S,+}(1)⊕L_{2}^{S,-}(1)⊕L_{3}^{S,+}(1)⊕L_{3}^{S,-}(1)⊕L_{4}^{S,+}(1)⊕L_{4}^{S,-}(1) $
M:(1/2,0,0)	$M_{1}^{S,+}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$2Δ_{1}^{S}(1)⊕2Δ_{5}^{S}(2) $
P:(1/3,1/3,w)	$2P_{1}^{S}(1)⊕2P_{3}^{S}(2) $
Λ:(u,u,0)	$2Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(1)⊕Λ_{4}^{S}(1) $
Σ:(u,0,0)	$2Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕2Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $
Q:(u,u,1/2)	$2Q_{1}^{S}(1)⊕Q_{2}^{S}(1)⊕2Q_{3}^{S}(1)⊕Q_{4}^{S}(1) $
R:(u,0,1/2)	$2R_{1}^{S}(1)⊕R_{2}^{S}(1)⊕2R_{3}^{S}(1)⊕R_{4}^{S}(1) $
U:(1/2,0,w)	$2U_{1}^{S}(1)⊕2U_{3}^{S}(1)⊕2U_{4}^{S}(1) $
B:(u,v,0)	$3B_{1}^{S}(1)⊕3B_{2}^{S}(1) $
C:(u,u,w)	$4C_{1}^{S}(1)⊕2C_{2}^{S}(1) $
D:(u,0,w)	$4D_{1}^{S}(1)⊕2D_{2}^{S}(1) $
E:(u,v,1/2)	$3E_{1}^{S}(1)⊕3E_{2}^{S}(1) $
GP:(u,v,w)	$6GP_{1}^{S}(1) $

k-vector	A1↑G(6)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{3}^{S,-}(1)⊕A_{5}^{S,+}(2)⊕A_{6}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$2H_{1}^{S}(1)⊕2H_{5}^{S}(2) $
K:(1/3,1/3,0)	$2K_{1}^{S}(1)⊕2K_{5}^{S}(2) $
L:(1/2,0,1/2)	$2L_{1}^{S,+}(1)⊕L_{2}^{S,+}(1)⊕2L_{3}^{S,-}(1)⊕L_{4}^{S,-}(1) $
M:(1/2,0,0)	$2M_{1}^{S,+}(1)⊕M_{2}^{S,+}(1)⊕2M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{5}^{S}(2)⊕Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$2P_{1}^{S}(1)⊕2P_{3}^{S}(2) $
Λ:(u,u,0)	$4Λ_{1}^{S}(1)⊕2Λ_{4}^{S}(1) $
Σ:(u,0,0)	$3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$4Q_{1}^{S}(1)⊕2Q_{4}^{S}(1) $
R:(u,0,1/2)	$3R_{1}^{S}(1)⊕3R_{2}^{S}(1) $
U:(1/2,0,w)	$2U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕2U_{3}^{S}(1)⊕U_{4}^{S}(1) $
B:(u,v,0)	$6B_{1}^{S}(1) $
C:(u,u,w)	$4C_{1}^{S}(1)⊕2C_{2}^{S}(1) $
D:(u,0,w)	$3D_{1}^{S}(1)⊕3D_{2}^{S}(1) $
E:(u,v,1/2)	$6E_{1}^{S}(1) $
GP:(u,v,w)	$6GP_{1}^{S}(1) $

k-vector	A1↑G(6)
A:(0,0,1/2)	$A_{2}^{S,-}(1)⊕A_{4}^{S,+}(1)⊕A_{5}^{S,-}(2)⊕A_{6}^{S,+}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$2H_{3}^{S}(1)⊕2H_{6}^{S}(2) $
K:(1/3,1/3,0)	$2K_{1}^{S}(1)⊕2K_{5}^{S}(2) $
L:(1/2,0,1/2)	$L_{1}^{S,-}(1)⊕2L_{2}^{S,-}(1)⊕L_{3}^{S,+}(1)⊕2L_{4}^{S,+}(1) $
M:(1/2,0,0)	$2M_{1}^{S,+}(1)⊕M_{2}^{S,+}(1)⊕2M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{5}^{S}(2)⊕Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$2P_{1}^{S}(1)⊕2P_{3}^{S}(2) $
Λ:(u,u,0)	$4Λ_{1}^{S}(1)⊕2Λ_{4}^{S}(1) $
Σ:(u,0,0)	$3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$2Q_{2}^{S}(1)⊕4Q_{3}^{S}(1) $
R:(u,0,1/2)	$3R_{3}^{S}(1)⊕3R_{4}^{S}(1) $
U:(1/2,0,w)	$2U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕2U_{3}^{S}(1)⊕U_{4}^{S}(1) $
B:(u,v,0)	$6B_{1}^{S}(1) $
C:(u,u,w)	$4C_{1}^{S}(1)⊕2C_{2}^{S}(1) $
D:(u,0,w)	$3D_{1}^{S}(1)⊕3D_{2}^{S}(1) $
E:(u,v,1/2)	$6E_{2}^{S}(1) $
GP:(u,v,w)	$6GP_{1}^{S}(1) $

k-vector	A1↑G(6)
A:(0,0,1/2)	$A_{1}^{S,+}(1)⊕A_{4}^{S,-}(1)⊕A_{5}^{S,+}(2)⊕A_{6}^{S,-}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$H_{1}^{S}(1)⊕H_{4}^{S}(1)⊕2H_{5}^{S}(2) $
K:(1/3,1/3,0)	$K_{1}^{S}(1)⊕K_{4}^{S}(1)⊕2K_{5}^{S}(2) $
L:(1/2,0,1/2)	$2L_{1}^{S,+}(1)⊕L_{2}^{S,+}(1)⊕L_{3}^{S,-}(1)⊕2L_{4}^{S,-}(1) $
M:(1/2,0,0)	$2M_{1}^{S,+}(1)⊕M_{2}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕2M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1)⊕Δ_{5}^{S}(2)⊕Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$P_{1}^{S}(1)⊕P_{2}^{S}(1)⊕2P_{3}^{S}(2) $
Λ:(u,u,0)	$3Λ_{1}^{S}(1)⊕3Λ_{4}^{S}(1) $
Σ:(u,0,0)	$4Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$3Q_{1}^{S}(1)⊕3Q_{4}^{S}(1) $
R:(u,0,1/2)	$4R_{1}^{S}(1)⊕2R_{2}^{S}(1) $
U:(1/2,0,w)	$2U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕U_{3}^{S}(1)⊕2U_{4}^{S}(1) $
B:(u,v,0)	$6B_{1}^{S}(1) $
C:(u,u,w)	$3C_{1}^{S}(1)⊕3C_{2}^{S}(1) $
D:(u,0,w)	$4D_{1}^{S}(1)⊕2D_{2}^{S}(1) $
E:(u,v,1/2)	$6E_{1}^{S}(1) $
GP:(u,v,w)	$6GP_{1}^{S}(1) $

k-vector	A1↑G(6)
A:(0,0,1/2)	$A_{2}^{S,-}(1)⊕A_{3}^{S,+}(1)⊕A_{5}^{S,-}(2)⊕A_{6}^{S,+}(2) $
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{4}^{S,-}(1)⊕Γ_{5}^{S,+}(2)⊕Γ_{6}^{S,-}(2) $
H:(1/3,1/3,1/2)	$H_{2}^{S}(1)⊕H_{3}^{S}(1)⊕2H_{6}^{S}(2) $
K:(1/3,1/3,0)	$K_{1}^{S}(1)⊕K_{4}^{S}(1)⊕2K_{5}^{S}(2) $
L:(1/2,0,1/2)	$L_{1}^{S,-}(1)⊕2L_{2}^{S,-}(1)⊕2L_{3}^{S,+}(1)⊕L_{4}^{S,+}(1) $
M:(1/2,0,0)	$2M_{1}^{S,+}(1)⊕M_{2}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕2M_{4}^{S,-}(1) $
Δ:(0,0,w)	$Δ_{1}^{S}(1)⊕Δ_{4}^{S}(1)⊕Δ_{5}^{S}(2)⊕Δ_{6}^{S}(2) $
P:(1/3,1/3,w)	$P_{1}^{S}(1)⊕P_{2}^{S}(1)⊕2P_{3}^{S}(2) $
Λ:(u,u,0)	$3Λ_{1}^{S}(1)⊕3Λ_{4}^{S}(1) $
Σ:(u,0,0)	$4Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1) $
Q:(u,u,1/2)	$3Q_{2}^{S}(1)⊕3Q_{3}^{S}(1) $
R:(u,0,1/2)	$4R_{3}^{S}(1)⊕2R_{4}^{S}(1) $
U:(1/2,0,w)	$2U_{1}^{S}(1)⊕U_{2}^{S}(1)⊕U_{3}^{S}(1)⊕2U_{4}^{S}(1) $
B:(u,v,0)	$6B_{1}^{S}(1) $
C:(u,u,w)	$3C_{1}^{S}(1)⊕3C_{2}^{S}(1) $
D:(u,0,w)	$4D_{1}^{S}(1)⊕2D_{2}^{S}(1) $
E:(u,v,1/2)	$6E_{2}^{S}(1) $
GP:(u,v,w)	$6GP_{1}^{S}(1) $

Coordinates	Seitz symbol
a, b, c \| x, y, z	{ 1 ‖ 1 \| 0 }
a-b, a, c \| x, y, z	{ 1 ‖ 6⁺₀₀₁ \| 0 }
-b, a-b, c \| x, y, z	{ 1 ‖ 3⁺₀₀₁ \| 0 }
-a, -b, c \| x, y, z	{ 1 ‖ 2₀₀₁ \| 0 }
-a+b, -a, c \| x, y, z	{ 1 ‖ 3^-₀₀₁ \| 0 }
b, -a+b, c \| x, y, z	{ 1 ‖ 6^-₀₀₁ \| 0 }
a-b, -b, -c \| x, y, z	{ 1 ‖ 2₁₀₀ \| 0 }
b, a, -c \| x, y, z	{ 1 ‖ 2₁₁₀ \| 0 }
-a, -a+b, -c \| x, y, z	{ 1 ‖ 2₀₁₀ \| 0 }
a, a-b, -c \| x, y, z	{ 1 ‖ 2₂₁₀ \| 0 }
-a+b, b, -c \| x, y, z	{ 1 ‖ 2₁₂₀ \| 0 }
-b, -a, -c \| x, y, z	{ 1 ‖ 2_1-10 \| 0 }
-a, -b, -c \| x, y, z	{ 1 ‖ -1 \| 0 }
-a+b, -a, -c \| x, y, z	{ 1 ‖ -6⁺₀₀₁ \| 0 }
b, -a+b, -c \| x, y, z	{ 1 ‖ -3⁺₀₀₁ \| 0 }
a, b, -c \| x, y, z	{ 1 ‖ m₀₀₁ \| 0 }
a-b, a, -c \| x, y, z	{ 1 ‖ -3^-₀₀₁ \| 0 }
-b, a-b, -c \| x, y, z	{ 1 ‖ -6^-₀₀₁ \| 0 }
-a+b, b, c \| x, y, z	{ 1 ‖ m₁₀₀ \| 0 }
-b, -a, c \| x, y, z	{ 1 ‖ m₁₁₀ \| 0 }
a, a-b, c \| x, y, z	{ 1 ‖ m₀₁₀ \| 0 }
-a, -a+b, c \| x, y, z	{ 1 ‖ m₂₁₀ \| 0 }
a-b, -b, c \| x, y, z	{ 1 ‖ m₁₂₀ \| 0 }
b, a, c \| x, y, z	{ 1 ‖ m_1-10 \| 0 }
a, b, c \| -x, y, z	{ m ‖ 1 \| 0 }
a-b, a, c \| -x, y, z	{ m ‖ 6⁺₀₀₁ \| 0 }
-b, a-b, c \| -x, y, z	{ m ‖ 3⁺₀₀₁ \| 0 }
-a, -b, c \| -x, y, z	{ m ‖ 2₀₀₁ \| 0 }
-a+b, -a, c \| -x, y, z	{ m ‖ 3^-₀₀₁ \| 0 }
b, -a+b, c \| -x, y, z	{ m ‖ 6^-₀₀₁ \| 0 }
a-b, -b, -c \| -x, y, z	{ m ‖ 2₁₀₀ \| 0 }
b, a, -c \| -x, y, z	{ m ‖ 2₁₁₀ \| 0 }
-a, -a+b, -c \| -x, y, z	{ m ‖ 2₀₁₀ \| 0 }
a, a-b, -c \| -x, y, z	{ m ‖ 2₂₁₀ \| 0 }
-a+b, b, -c \| -x, y, z	{ m ‖ 2₁₂₀ \| 0 }
-b, -a, -c \| -x, y, z	{ m ‖ 2_1-10 \| 0 }
-a, -b, -c \| -x, y, z	{ m ‖ -1 \| 0 }
-a+b, -a, -c \| -x, y, z	{ m ‖ -6⁺₀₀₁ \| 0 }
b, -a+b, -c \| -x, y, z	{ m ‖ -3⁺₀₀₁ \| 0 }
a, b, -c \| -x, y, z	{ m ‖ m₀₀₁ \| 0 }
a-b, a, -c \| -x, y, z	{ m ‖ -3^-₀₀₁ \| 0 }
-b, a-b, -c \| -x, y, z	{ m ‖ -6^-₀₀₁ \| 0 }
-a+b, b, c \| -x, y, z	{ m ‖ m₁₀₀ \| 0 }
-b, -a, c \| -x, y, z	{ m ‖ m₁₁₀ \| 0 }
a, a-b, c \| -x, y, z	{ m ‖ m₀₁₀ \| 0 }
-a, -a+b, c \| -x, y, z	{ m ‖ m₂₁₀ \| 0 }
a-b, -b, c \| -x, y, z	{ m ‖ m₁₂₀ \| 0 }
b, a, c \| -x, y, z	{ m ‖ m_1-10 \| 0 }

Information of spin space group $P\ce{^{1}{6/}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}}$ ( nSSG:191.191.1.1 )