Spin Space Group Information

The continuously infinite group ^∞1 is omitted.

Coordinates	Seitz symbol
a, b, c \| x, y, z	{ 1 ‖ 1 \| 0 }
-b+1/2, a, c \| x, y, z	{ 1 ‖ 4⁺₀₀₁ \| 1/2 0 0 }
b, -a+1/2, c \| x, y, z	{ 1 ‖ 4^-₀₀₁ \| 0 1/2 0 }
a, -b+1/2, -c \| x, y, z	{ 1 ‖ 2₁₀₀ \| 0 1/2 0 }
-a+1/2, b, -c \| x, y, z	{ 1 ‖ 2₀₁₀ \| 1/2 0 0 }
-a+1/2, -b+1/2, c \| x, y, z	{ 1 ‖ 2₀₀₁ \| 1/2 1/2 0 }
b, a, -c \| x, y, z	{ 1 ‖ 2₁₁₀ \| 0 }
-b+1/2, -a+1/2, -c \| x, y, z	{ 1 ‖ 2_1-10 \| 1/2 1/2 0 }
-a, -b, -c \| x, y, z	{ 1 ‖ -1 \| 0 }
b+1/2, -a, -c \| x, y, z	{ 1 ‖ -4⁺₀₀₁ \| 1/2 0 0 }
-b, a+1/2, -c \| x, y, z	{ 1 ‖ -4^-₀₀₁ \| 0 1/2 0 }
-a, b+1/2, c \| x, y, z	{ 1 ‖ m₁₀₀ \| 0 1/2 0 }
a+1/2, -b, c \| x, y, z	{ 1 ‖ m₀₁₀ \| 1/2 0 0 }
a+1/2, b+1/2, -c \| x, y, z	{ 1 ‖ m₀₀₁ \| 1/2 1/2 0 }
-b, -a, c \| x, y, z	{ 1 ‖ m₁₁₀ \| 0 }
b+1/2, a+1/2, c \| x, y, z	{ 1 ‖ m_1-10 \| 1/2 1/2 0 }
a+1/2, b+1/2, c \| -x, -y, -z	{ -1 ‖ 1 \| 1/2 1/2 0 }
-b, a+1/2, c \| -x, -y, -z	{ -1 ‖ 4⁺₀₀₁ \| 0 1/2 0 }
b+1/2, -a, c \| -x, -y, -z	{ -1 ‖ 4^-₀₀₁ \| 1/2 0 0 }
a+1/2, -b, -c \| -x, -y, -z	{ -1 ‖ 2₁₀₀ \| 1/2 0 0 }
-a, b+1/2, -c \| -x, -y, -z	{ -1 ‖ 2₀₁₀ \| 0 1/2 0 }
-a, -b, c \| -x, -y, -z	{ -1 ‖ 2₀₀₁ \| 0 }
b+1/2, a+1/2, -c \| -x, -y, -z	{ -1 ‖ 2₁₁₀ \| 1/2 1/2 0 }
-b, -a, -c \| -x, -y, -z	{ -1 ‖ 2_1-10 \| 0 }
-a+1/2, -b+1/2, -c \| -x, -y, -z	{ -1 ‖ -1 \| 1/2 1/2 0 }
b, -a+1/2, -c \| -x, -y, -z	{ -1 ‖ -4⁺₀₀₁ \| 0 1/2 0 }
-b+1/2, a, -c \| -x, -y, -z	{ -1 ‖ -4^-₀₀₁ \| 1/2 0 0 }
-a+1/2, b, c \| -x, -y, -z	{ -1 ‖ m₁₀₀ \| 1/2 0 0 }
a, -b+1/2, c \| -x, -y, -z	{ -1 ‖ m₀₁₀ \| 0 1/2 0 }
a, b, -c \| -x, -y, -z	{ -1 ‖ m₀₀₁ \| 0 }
-b+1/2, -a+1/2, c \| -x, -y, -z	{ -1 ‖ m₁₁₀ \| 1/2 1/2 0 }
b, a, c \| -x, -y, -z	{ -1 ‖ m_1-10 \| 0 }
a, b, c \| -x, y, z	{ m ‖ 1 \| 0 }
-b+1/2, a, c \| -x, y, z	{ m ‖ 4⁺₀₀₁ \| 1/2 0 0 }
b, -a+1/2, c \| -x, y, z	{ m ‖ 4^-₀₀₁ \| 0 1/2 0 }
a, -b+1/2, -c \| -x, y, z	{ m ‖ 2₁₀₀ \| 0 1/2 0 }
-a+1/2, b, -c \| -x, y, z	{ m ‖ 2₀₁₀ \| 1/2 0 0 }
-a+1/2, -b+1/2, c \| -x, y, z	{ m ‖ 2₀₀₁ \| 1/2 1/2 0 }
b, a, -c \| -x, y, z	{ m ‖ 2₁₁₀ \| 0 }
-b+1/2, -a+1/2, -c \| -x, y, z	{ m ‖ 2_1-10 \| 1/2 1/2 0 }
-a, -b, -c \| -x, y, z	{ m ‖ -1 \| 0 }
b+1/2, -a, -c \| -x, y, z	{ m ‖ -4⁺₀₀₁ \| 1/2 0 0 }
-b, a+1/2, -c \| -x, y, z	{ m ‖ -4^-₀₀₁ \| 0 1/2 0 }
-a, b+1/2, c \| -x, y, z	{ m ‖ m₁₀₀ \| 0 1/2 0 }
a+1/2, -b, c \| -x, y, z	{ m ‖ m₀₁₀ \| 1/2 0 0 }
a+1/2, b+1/2, -c \| -x, y, z	{ m ‖ m₀₀₁ \| 1/2 1/2 0 }
-b, -a, c \| -x, y, z	{ m ‖ m₁₁₀ \| 0 }
b+1/2, a+1/2, c \| -x, y, z	{ m ‖ m_1-10 \| 1/2 1/2 0 }
a+1/2, b+1/2, c \| x, -y, -z	{ 2 ‖ 1 \| 1/2 1/2 0 }
-b, a+1/2, c \| x, -y, -z	{ 2 ‖ 4⁺₀₀₁ \| 0 1/2 0 }
b+1/2, -a, c \| x, -y, -z	{ 2 ‖ 4^-₀₀₁ \| 1/2 0 0 }
a+1/2, -b, -c \| x, -y, -z	{ 2 ‖ 2₁₀₀ \| 1/2 0 0 }
-a, b+1/2, -c \| x, -y, -z	{ 2 ‖ 2₀₁₀ \| 0 1/2 0 }
-a, -b, c \| x, -y, -z	{ 2 ‖ 2₀₀₁ \| 0 }
b+1/2, a+1/2, -c \| x, -y, -z	{ 2 ‖ 2₁₁₀ \| 1/2 1/2 0 }
-b, -a, -c \| x, -y, -z	{ 2 ‖ 2_1-10 \| 0 }
-a+1/2, -b+1/2, -c \| x, -y, -z	{ 2 ‖ -1 \| 1/2 1/2 0 }
b, -a+1/2, -c \| x, -y, -z	{ 2 ‖ -4⁺₀₀₁ \| 0 1/2 0 }
-b+1/2, a, -c \| x, -y, -z	{ 2 ‖ -4^-₀₀₁ \| 1/2 0 0 }
-a+1/2, b, c \| x, -y, -z	{ 2 ‖ m₁₀₀ \| 1/2 0 0 }
a, -b+1/2, c \| x, -y, -z	{ 2 ‖ m₀₁₀ \| 0 1/2 0 }
a, b, -c \| x, -y, -z	{ 2 ‖ m₀₀₁ \| 0 }
-b+1/2, -a+1/2, c \| x, -y, -z	{ 2 ‖ m₁₁₀ \| 1/2 1/2 0 }
b, a, c \| x, -y, -z	{ 2 ‖ m_1-10 \| 0 }

WP	Site symmetry	Representative
2a	$_{}^{}_{}^{- 1} 4 /_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty m} 1$	(3/4,1/4,0 \| 0,0,0)
2b	$_{}^{}_{}^{- 1} 4 /_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty m} 1$	(3/4,1/4,1/2 \| 0,0,0)
2c	$_{}^{}_{}^{1} 4 /_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(3/4,3/4,0 \| 0,0,0)
2d	$_{}^{}_{}^{1} 4 /_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(3/4,3/4,1/2 \| 0,0,0)
4e	$_{}^{}_{}^{- 1} m ._{}^{}_{}^{1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(1/2,1/2,1/2 \| 0,0,0)
4f	$_{}^{}_{}^{- 1} m ._{}^{}_{}^{1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(1/2,1/2,0 \| 0,0,0)
4g	$_{}^{}_{}^{- 1} 4_{}^{}_{}^{- 1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty m} 1$	(3/4,1/4,c \| 0,0,0)
4h	$_{}^{}_{}^{1} 4_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(3/4,3/4,c \| 0,0,0)
8i	$_{}^{}_{}^{- 1} 2 ._{}^{}_{}^{1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(1/2,1/2,c \| 0,0,0)
8j	$_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{1} 2 ._{}^{}_{}^{\infty m} 1$	(3/4,b,0 \| 0,0,0)
8k	$_{}^{}_{}^{- 1} m_{}^{}_{}^{- 1} m_{}^{}_{}^{1} 2 ._{}^{}_{}^{\infty m} 1$	(3/4,b,1/2 \| 0,0,0)
8l	$_{}^{}_{}^{- 1} m ._{}^{}_{}^{- 1} 2_{}^{}_{}^{1} m_{}^{}_{}^{\infty m} 1$	(a,a+1/2,0 \| 0,0,0)
8m	$_{}^{}_{}^{- 1} m ._{}^{}_{}^{- 1} 2_{}^{}_{}^{1} m_{}^{}_{}^{\infty m} 1$	(a,a+1/2,1/2 \| 0,0,0)
8n	$_{}^{}_{}^{- 1} m ._{}^{}_{}^{1} 2_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(a,a,0 \| 0,0,0)
8o	$_{}^{}_{}^{- 1} m ._{}^{}_{}^{1} 2_{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(a,a,1/2 \| 0,0,0)
16p	$_{}^{}_{}^{- 1} m . ._{}^{}_{}^{\infty m} 1$	(a,b,0 \| 0,0,0)
16q	$_{}^{}_{}^{- 1} m . ._{}^{}_{}^{\infty m} 1$	(a,b,1/2 \| 0,0,0)
16r	$._{}^{}_{}^{- 1} m ._{}^{}_{}^{\infty m} 1$	(3/4,b,c \| 0,0,0)
16s	$. ._{}^{}_{}^{1} m_{}^{}_{}^{\infty m} 1$	(a,a+1/2,c \| 0,0,z)
16t	$. ._{}^{}_{}^{- 1} m_{}^{}_{}^{\infty m} 1$	(a,a,c \| 0,0,0)
32u	$_{}^{}_{}^{1} 1_{}^{}_{}^{\infty m} 1$	(a,b,c \| 0,0,z)

Wavevector-k	Little co-group
A:(1/2,1/2,1/2)	$_{}^{}_{}^{1} 4/_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty / mm} 1$
Γ:(0,0,0)	$_{}^{}_{}^{1} 4/_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty / mm} 1$
M:(1/2,1/2,0)	$_{}^{}_{}^{1} 4/_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty / mm} 1$
Z:(0,0,1/2)	$_{}^{}_{}^{1} 4/_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty / mm} 1$
R:(0,1/2,1/2)	$_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty / mm} 1$
X:(0,1/2,0)	$_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty / mm} 1$
Λ:(0,0,w)	$_{}^{}_{}^{1} 4/_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
V:(1/2,1/2,w)	$_{}^{}_{}^{1} 4/_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
Δ:(0,v,0)	$_{}^{}_{}^{1} m_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
S:(u,u,1/2)	$_{}^{}_{}^{1} m_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
Σ:(u,u,0)	$_{}^{}_{}^{1} m_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
T:(u,1/2,1/2)	$_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
U:(0,v,1/2)	$_{}^{}_{}^{1} m_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
W:(0,1/2,w)	$_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{m} m_{}^{}_{}^{\infty 2} 1$
Y:(u,1/2,0)	$_{}^{}_{}^{m} m_{}^{}_{}^{1} m_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
B:(0,v,w)	$_{}^{}_{}^{m} 2/_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
C:(u,u,w)	$_{}^{}_{}^{m} 2/_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
D:(u,v,0)	$_{}^{}_{}^{m} 2/_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
E:(u,v,1/2)	$_{}^{}_{}^{m} 2/_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
F:(u,1/2,w)	$_{}^{}_{}^{m} 2/_{}^{}_{}^{1} m_{}^{}_{}^{\infty 2} 1$
GP:(u,v,w)	$_{}^{}_{}^{m} -1_{}^{}_{}^{\infty 2} 1$

Spin Brillouin Zone

4/mmmP

k-vector	A'↑G(16)
A:(1/2,1/2,1/2)	$A_{1}^{S} (4) \oplus A_{2}^{S} (4) \oplus 2 A_{3}^{S} (4)$
Γ:(0,0,0)	$Γ_{1}^{S, +} (2) \oplus Γ_{2}^{S, -} (2) \oplus Γ_{3}^{S, -} (2) \oplus Γ_{4}^{S, +} (2) \oplus Γ_{5}^{S, +} (4) \oplus Γ_{5}^{S, -} (4)$
M:(1/2,1/2,0)	$M_{1}^{S} (4) \oplus M_{2}^{S} (4) \oplus 2 M_{3}^{S} (4)$
Z:(0,0,1/2)	$Z_{1}^{S, +} (2) \oplus Z_{2}^{S, -} (2) \oplus Z_{3}^{S, -} (2) \oplus Z_{4}^{S, +} (2) \oplus Z_{5}^{S, +} (4) \oplus Z_{5}^{S, -} (4)$
R:(0,1/2,1/2)	$2 R_{1}^{S} (4) \oplus 2 R_{2}^{S} (4)$
X:(0,1/2,0)	$2 X_{1}^{S} (4) \oplus 2 X_{2}^{S} (4)$
Λ:(0,0,w)	$2 Λ_{1}^{S} (2) \oplus 2 Λ_{3}^{S} (2) \oplus 2 Λ_{5}^{S} (4)$
V:(1/2,1/2,w)	$2 V_{1}^{S} (2) \oplus 2 V_{3}^{S} (2) \oplus 2 V_{5}^{S} (4)$
Δ:(0,v,0)	$2 Δ_{1}^{S} (2) \oplus 2 Δ_{2}^{S} (2) \oplus 2 Δ_{3}^{S} (2) \oplus 2 Δ_{4}^{S} (2)$
S:(u,u,1/2)	$3 S_{1}^{S} (2) \oplus S_{2}^{S} (2) \oplus 3 S_{3}^{S} (2) \oplus S_{4}^{S} (2)$
Σ:(u,u,0)	$3 Σ_{1}^{S} (2) \oplus Σ_{2}^{S} (2) \oplus 3 Σ_{3}^{S} (2) \oplus Σ_{4}^{S} (2)$
T:(u,1/2,1/2)	$4 T_{1}^{S} (4)$
U:(0,v,1/2)	$2 U_{1}^{S} (2) \oplus 2 U_{2}^{S} (2) \oplus 2 U_{3}^{S} (2) \oplus 2 U_{4}^{S} (2)$
W:(0,1/2,w)	$4 W_{1}^{S} (4)$
Y:(u,1/2,0)	$4 Y_{1}^{S} (4)$
B:(0,v,w)	$4 B_{1}^{S} (2) \oplus 4 B_{2}^{S} (2)$
C:(u,u,w)	$6 C_{1}^{S} (2) \oplus 2 C_{2}^{S} (2)$
D:(u,v,0)	$4 D_{1}^{S} (2) \oplus 4 D_{2}^{S} (2)$
E:(u,v,1/2)	$4 E_{1}^{S} (2) \oplus 4 E_{2}^{S} (2)$
F:(u,1/2,w)	$4 F_{1}^{S} (2) \oplus 4 F_{2}^{S} (2)$
GP:(u,v,w)	$8 G P_{1}^{S} (2)$

k-vector	A↑G(32)
A:(1/2,1/2,1/2)	$2 A_{1}^{S} (4) \oplus 2 A_{2}^{S} (4) \oplus 2 A_{3}^{S} (4) \oplus 2 A_{4}^{S} (4)$
Γ:(0,0,0)	$Γ_{1}^{S, +} (2) \oplus Γ_{1}^{S, -} (2) \oplus Γ_{2}^{S, +} (2) \oplus Γ_{2}^{S, -} (2) \oplus Γ_{3}^{S, +} (2) \oplus Γ_{3}^{S, -} (2) \oplus Γ_{4}^{S, +} (2) \oplus Γ_{4}^{S, -} (2) \oplus 2 Γ_{5}^{S, +} (4) \oplus 2 Γ_{5}^{S, -} (4)$
M:(1/2,1/2,0)	$2 M_{1}^{S} (4) \oplus 2 M_{2}^{S} (4) \oplus 2 M_{3}^{S} (4) \oplus 2 M_{4}^{S} (4)$
Z:(0,0,1/2)	$Z_{1}^{S, +} (2) \oplus Z_{1}^{S, -} (2) \oplus Z_{2}^{S, +} (2) \oplus Z_{2}^{S, -} (2) \oplus Z_{3}^{S, +} (2) \oplus Z_{3}^{S, -} (2) \oplus Z_{4}^{S, +} (2) \oplus Z_{4}^{S, -} (2) \oplus 2 Z_{5}^{S, +} (4) \oplus 2 Z_{5}^{S, -} (4)$
R:(0,1/2,1/2)	$4 R_{1}^{S} (4) \oplus 4 R_{2}^{S} (4)$
X:(0,1/2,0)	$4 X_{1}^{S} (4) \oplus 4 X_{2}^{S} (4)$
Λ:(0,0,w)	$2 Λ_{1}^{S} (2) \oplus 2 Λ_{2}^{S} (2) \oplus 2 Λ_{3}^{S} (2) \oplus 2 Λ_{4}^{S} (2) \oplus 4 Λ_{5}^{S} (4)$
V:(1/2,1/2,w)	$2 V_{1}^{S} (2) \oplus 2 V_{2}^{S} (2) \oplus 2 V_{3}^{S} (2) \oplus 2 V_{4}^{S} (2) \oplus 4 V_{5}^{S} (4)$
Δ:(0,v,0)	$4 Δ_{1}^{S} (2) \oplus 4 Δ_{2}^{S} (2) \oplus 4 Δ_{3}^{S} (2) \oplus 4 Δ_{4}^{S} (2)$
S:(u,u,1/2)	$4 S_{1}^{S} (2) \oplus 4 S_{2}^{S} (2) \oplus 4 S_{3}^{S} (2) \oplus 4 S_{4}^{S} (2)$
Σ:(u,u,0)	$4 Σ_{1}^{S} (2) \oplus 4 Σ_{2}^{S} (2) \oplus 4 Σ_{3}^{S} (2) \oplus 4 Σ_{4}^{S} (2)$
T:(u,1/2,1/2)	$8 T_{1}^{S} (4)$
U:(0,v,1/2)	$4 U_{1}^{S} (2) \oplus 4 U_{2}^{S} (2) \oplus 4 U_{3}^{S} (2) \oplus 4 U_{4}^{S} (2)$
W:(0,1/2,w)	$8 W_{1}^{S} (4)$
Y:(u,1/2,0)	$8 Y_{1}^{S} (4)$
B:(0,v,w)	$8 B_{1}^{S} (2) \oplus 8 B_{2}^{S} (2)$
C:(u,u,w)	$8 C_{1}^{S} (2) \oplus 8 C_{2}^{S} (2)$
D:(u,v,0)	$8 D_{1}^{S} (2) \oplus 8 D_{2}^{S} (2)$
E:(u,v,1/2)	$8 E_{1}^{S} (2) \oplus 8 E_{2}^{S} (2)$
F:(u,1/2,w)	$8 F_{1}^{S} (2) \oplus 8 F_{2}^{S} (2)$
GP:(u,v,w)	$16 G P_{1}^{S} (2)$

Coordinates	Seitz symbol
a, b, c \| x, y, z	{ 1 ‖ 1 \| 0 }
-b+1/2, a, c \| x, y, z	{ 1 ‖ 4⁺₀₀₁ \| 1/2 0 0 }
b, -a+1/2, c \| x, y, z	{ 1 ‖ 4^-₀₀₁ \| 0 1/2 0 }
a, -b+1/2, -c \| x, y, z	{ 1 ‖ 2₁₀₀ \| 0 1/2 0 }
-a+1/2, b, -c \| x, y, z	{ 1 ‖ 2₀₁₀ \| 1/2 0 0 }
-a+1/2, -b+1/2, c \| x, y, z	{ 1 ‖ 2₀₀₁ \| 1/2 1/2 0 }
b, a, -c \| x, y, z	{ 1 ‖ 2₁₁₀ \| 0 }
-b+1/2, -a+1/2, -c \| x, y, z	{ 1 ‖ 2_1-10 \| 1/2 1/2 0 }
-a, -b, -c \| x, y, z	{ 1 ‖ -1 \| 0 }
b+1/2, -a, -c \| x, y, z	{ 1 ‖ -4⁺₀₀₁ \| 1/2 0 0 }
-b, a+1/2, -c \| x, y, z	{ 1 ‖ -4^-₀₀₁ \| 0 1/2 0 }
-a, b+1/2, c \| x, y, z	{ 1 ‖ m₁₀₀ \| 0 1/2 0 }
a+1/2, -b, c \| x, y, z	{ 1 ‖ m₀₁₀ \| 1/2 0 0 }
a+1/2, b+1/2, -c \| x, y, z	{ 1 ‖ m₀₀₁ \| 1/2 1/2 0 }
-b, -a, c \| x, y, z	{ 1 ‖ m₁₁₀ \| 0 }
b+1/2, a+1/2, c \| x, y, z	{ 1 ‖ m_1-10 \| 1/2 1/2 0 }
a+1/2, b+1/2, c \| -x, -y, -z	{ -1 ‖ 1 \| 1/2 1/2 0 }
-b, a+1/2, c \| -x, -y, -z	{ -1 ‖ 4⁺₀₀₁ \| 0 1/2 0 }
b+1/2, -a, c \| -x, -y, -z	{ -1 ‖ 4^-₀₀₁ \| 1/2 0 0 }
a+1/2, -b, -c \| -x, -y, -z	{ -1 ‖ 2₁₀₀ \| 1/2 0 0 }
-a, b+1/2, -c \| -x, -y, -z	{ -1 ‖ 2₀₁₀ \| 0 1/2 0 }
-a, -b, c \| -x, -y, -z	{ -1 ‖ 2₀₀₁ \| 0 }
b+1/2, a+1/2, -c \| -x, -y, -z	{ -1 ‖ 2₁₁₀ \| 1/2 1/2 0 }
-b, -a, -c \| -x, -y, -z	{ -1 ‖ 2_1-10 \| 0 }
-a+1/2, -b+1/2, -c \| -x, -y, -z	{ -1 ‖ -1 \| 1/2 1/2 0 }
b, -a+1/2, -c \| -x, -y, -z	{ -1 ‖ -4⁺₀₀₁ \| 0 1/2 0 }
-b+1/2, a, -c \| -x, -y, -z	{ -1 ‖ -4^-₀₀₁ \| 1/2 0 0 }
-a+1/2, b, c \| -x, -y, -z	{ -1 ‖ m₁₀₀ \| 1/2 0 0 }
a, -b+1/2, c \| -x, -y, -z	{ -1 ‖ m₀₁₀ \| 0 1/2 0 }
a, b, -c \| -x, -y, -z	{ -1 ‖ m₀₀₁ \| 0 }
-b+1/2, -a+1/2, c \| -x, -y, -z	{ -1 ‖ m₁₁₀ \| 1/2 1/2 0 }
b, a, c \| -x, -y, -z	{ -1 ‖ m_1-10 \| 0 }
a, b, c \| -x, y, z	{ m ‖ 1 \| 0 }
-b+1/2, a, c \| -x, y, z	{ m ‖ 4⁺₀₀₁ \| 1/2 0 0 }
b, -a+1/2, c \| -x, y, z	{ m ‖ 4^-₀₀₁ \| 0 1/2 0 }
a, -b+1/2, -c \| -x, y, z	{ m ‖ 2₁₀₀ \| 0 1/2 0 }
-a+1/2, b, -c \| -x, y, z	{ m ‖ 2₀₁₀ \| 1/2 0 0 }
-a+1/2, -b+1/2, c \| -x, y, z	{ m ‖ 2₀₀₁ \| 1/2 1/2 0 }
b, a, -c \| -x, y, z	{ m ‖ 2₁₁₀ \| 0 }
-b+1/2, -a+1/2, -c \| -x, y, z	{ m ‖ 2_1-10 \| 1/2 1/2 0 }
-a, -b, -c \| -x, y, z	{ m ‖ -1 \| 0 }
b+1/2, -a, -c \| -x, y, z	{ m ‖ -4⁺₀₀₁ \| 1/2 0 0 }
-b, a+1/2, -c \| -x, y, z	{ m ‖ -4^-₀₀₁ \| 0 1/2 0 }
-a, b+1/2, c \| -x, y, z	{ m ‖ m₁₀₀ \| 0 1/2 0 }
a+1/2, -b, c \| -x, y, z	{ m ‖ m₀₁₀ \| 1/2 0 0 }
a+1/2, b+1/2, -c \| -x, y, z	{ m ‖ m₀₀₁ \| 1/2 1/2 0 }
-b, -a, c \| -x, y, z	{ m ‖ m₁₁₀ \| 0 }
b+1/2, a+1/2, c \| -x, y, z	{ m ‖ m_1-10 \| 1/2 1/2 0 }
a+1/2, b+1/2, c \| x, -y, -z	{ 2 ‖ 1 \| 1/2 1/2 0 }
-b, a+1/2, c \| x, -y, -z	{ 2 ‖ 4⁺₀₀₁ \| 0 1/2 0 }
b+1/2, -a, c \| x, -y, -z	{ 2 ‖ 4^-₀₀₁ \| 1/2 0 0 }
a+1/2, -b, -c \| x, -y, -z	{ 2 ‖ 2₁₀₀ \| 1/2 0 0 }
-a, b+1/2, -c \| x, -y, -z	{ 2 ‖ 2₀₁₀ \| 0 1/2 0 }
-a, -b, c \| x, -y, -z	{ 2 ‖ 2₀₀₁ \| 0 }
b+1/2, a+1/2, -c \| x, -y, -z	{ 2 ‖ 2₁₁₀ \| 1/2 1/2 0 }
-b, -a, -c \| x, -y, -z	{ 2 ‖ 2_1-10 \| 0 }
-a+1/2, -b+1/2, -c \| x, -y, -z	{ 2 ‖ -1 \| 1/2 1/2 0 }
b, -a+1/2, -c \| x, -y, -z	{ 2 ‖ -4⁺₀₀₁ \| 0 1/2 0 }
-b+1/2, a, -c \| x, -y, -z	{ 2 ‖ -4^-₀₀₁ \| 1/2 0 0 }
-a+1/2, b, c \| x, -y, -z	{ 2 ‖ m₁₀₀ \| 1/2 0 0 }
a, -b+1/2, c \| x, -y, -z	{ 2 ‖ m₀₁₀ \| 0 1/2 0 }
a, b, -c \| x, -y, -z	{ 2 ‖ m₀₀₁ \| 0 }
-b+1/2, -a+1/2, c \| x, -y, -z	{ 2 ‖ m₁₁₀ \| 1/2 1/2 0 }
b, a, c \| x, -y, -z	{ 2 ‖ m_1-10 \| 0 }

Information of spin space group PCA1A2214/A1A221nA1A221bA1A221mA∞mA22∞m1 ( nSSG:125.123.2.1 )

Information of spin space group $P_{C}_{}^{}_{}^{1} 4/_{}^{}_{}^{1} n_{}^{}_{}^{1} b_{}^{}_{}^{1} m_{}^{}_{}^{\infty m} 1$ ( nSSG:125.123.2.1 )