Information of spin space group $C{\phantom{A}}_{\phantom{}}^{\phantom{\text{-}1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\text{-}1}\text{c}{\phantom{A}}_{\phantom{}}^{\phantom{\text{-}1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\text{-}1}\text{c}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{e}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$ ( nSSG:13.68.1.1 )

General Positions

The continuously infinite group ^∞1 is omitted.

Coordinates	Seitz symbol
a, b, c | x, y, z	{ 1 ‖ 1 | 0 }
-a, -b+1/2, c | x, y, z	{ 1 ‖ 2001 | 0 1/2 0 }
-a+1/2, -b+1/2, -c | x, y, z	{ 1 ‖ -1 | 1/2 1/2 0 }
a+1/2, b, -c | x, y, z	{ 1 ‖ m001 | 1/2 0 0 }
a, -b+1/2, -c+1/2 | -x, -y, -z	{ -1 ‖ 2100 | 0 1/2 1/2 }
-a, b, -c+1/2 | -x, -y, -z	{ -1 ‖ 2010 | 0 0 1/2 }
-a+1/2, b, c+1/2 | -x, -y, -z	{ -1 ‖ m100 | 1/2 0 1/2 }
a+1/2, -b+1/2, c+1/2 | -x, -y, -z	{ -1 ‖ m010 | 1/2 1/2 1/2 }
a+1/2, b+1/2, c | x, y, z	{ 1 ‖ 1 | 1/2 1/2 0 }
-a+1/2, -b, c | x, y, z	{ 1 ‖ 2001 | 1/2 0 0 }
-a, -b, -c | x, y, z	{ 1 ‖ -1 | 0 }
a, b+1/2, -c | x, y, z	{ 1 ‖ m001 | 0 1/2 0 }
a+1/2, -b, -c+1/2 | -x, -y, -z	{ -1 ‖ 2100 | 1/2 0 1/2 }
-a+1/2, b+1/2, -c+1/2 | -x, -y, -z	{ -1 ‖ 2010 | 1/2 1/2 1/2 }
-a, b+1/2, c+1/2 | -x, -y, -z	{ -1 ‖ m100 | 0 1/2 1/2 }
a, -b, c+1/2 | -x, -y, -z	{ -1 ‖ m010 | 0 0 1/2 }
a, b, c | -x, y, z	{ m ‖ 1 | 0 }
-a, -b+1/2, c | -x, y, z	{ m ‖ 2001 | 0 1/2 0 }
-a+1/2, -b+1/2, -c | -x, y, z	{ m ‖ -1 | 1/2 1/2 0 }
a+1/2, b, -c | -x, y, z	{ m ‖ m001 | 1/2 0 0 }
a, -b+1/2, -c+1/2 | x, -y, -z	{ 2 ‖ 2100 | 0 1/2 1/2 }
-a, b, -c+1/2 | x, -y, -z	{ 2 ‖ 2010 | 0 0 1/2 }
-a+1/2, b, c+1/2 | x, -y, -z	{ 2 ‖ m100 | 1/2 0 1/2 }
a+1/2, -b+1/2, c+1/2 | x, -y, -z	{ 2 ‖ m010 | 1/2 1/2 1/2 }
a+1/2, b+1/2, c | -x, y, z	{ m ‖ 1 | 1/2 1/2 0 }
-a+1/2, -b, c | -x, y, z	{ m ‖ 2001 | 1/2 0 0 }
-a, -b, -c | -x, y, z	{ m ‖ -1 | 0 }
a, b+1/2, -c | -x, y, z	{ m ‖ m001 | 0 1/2 0 }
a+1/2, -b, -c+1/2 | x, -y, -z	{ 2 ‖ 2100 | 1/2 0 1/2 }
-a+1/2, b+1/2, -c+1/2 | x, -y, -z	{ 2 ‖ 2010 | 1/2 1/2 1/2 }
-a, b+1/2, c+1/2 | x, -y, -z	{ 2 ‖ m100 | 0 1/2 1/2 }
a, -b, c+1/2 | x, -y, -z	{ 2 ‖ m010 | 0 0 1/2 }

Wyckoff Positions

WP	Site symmetry	Representative
4a	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,1/4,1/4 | 0,0,0)
4b	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,1/4,3/4 | 0,0,0)
8c	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/4,3/4,0 | 0,0,z)
8d	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,0,0 | 0,0,z)
8e	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}..{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,1/4,1/4 | 0,0,0)
8f	$.{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}.{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,b,1/4 | 0,0,0)
8g	$..{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,1/4,c | 0,0,z)
8h	$..{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/4,0,c | 0,0,z)
16i	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,b,c | 0,0,z)

Spin Brillouin Zone & k-little co-groups

Wavevector-k	Little co-group
Γ:(0,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
T:(1,0,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
Y:(1,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
Z:(0,0,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
R:(1/2,1/2,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2/}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
S:(1/2,1/2,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2/}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
A:(u,0,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
B:(0,v,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Δ:(0,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
H:(1,0,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Λ:(0,0,w)	${\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Σ:(u,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
D:(1/2,1/2,w)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2/}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
K:(0,v,w)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2/}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
M:(u,0,w)	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2/}{\phantom{A}}_{\phantom{}}^{\phantom{2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}2}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
P:(u,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2/}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Q:(u,v,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2/}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
GP:(u,v,w)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{-1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$

Spin Brillouin Zone

Band Representations (Magnon)

8c

k-vector	k-vector-G↑	A↑G(4)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^{S,+}(2)\oplus {\Gamma }_2^{S,+}(2)$
R:(-1/2,-1/2,1/2)	D:(0,1/2,1/2)	$2(R)D_1^S(2)$	Spin Splitting
S:(-1/2,-1/2,0)	B:(0,0,1/2)	$2(S)B_1^S(2)$	Spin Splitting
T:(1,0,1/2)	C:(1/2,1/2,0)	$(T)C_1^{S,+}(2)\oplus (T)C_2^{S,+}(2)$
Y:(1,0,0)	Y:(1/2,0,0)	$Y_1^{S,+}(2)\oplus Y_2^{S,+}(2)$
Z:(0,0,1/2)	Z:(0,1/2,0)	$Z_1^{S,+}(2)\oplus Z_2^{S,+}(2)$
A:(u,0,1/2)	G:(u/2,1/2,0)	$(A)G_1^S(2)\oplus (A)G_2^S(2)$
B:(0,v,1/2)	G:(-v/2,1/2,-v)	$(B)G_1^S(2)\oplus (B)G_2^S(2)$
D:(-1/2,-1/2,w)	V:(0,w,1/2)	$2(D)V_1^S{V}_2^S(2)$	Spin Splitting
Δ:(0,v,0)	F:(-v/2,0,-v)	$(\Delta )F_1^S(2)\oplus (\Delta )F_2^S(2)$
H:(1,0,w)	W:(1/2,w,0)	$2(H)W_1^S(2)$
Λ:(0,0,w)	Λ:(0,w,0)	$2{\Lambda }_1^S(2)$
Σ:(u,0,0)	F:(u/2,0,0)	$(\Sigma )F_1^S(2)\oplus (\Sigma )F_2^S(2)$
K:(0,v,w)	GP:(-v/2,w,-v)	$2(K)G{P}_1^S(2)$
M:(u,0,w)	GP:(u/2,w,0)	$2(M)G{P}_1^S(2)$
P:(u,v,0)	F:(u/2-v/2,0,-v)	$2(P)F_1^S(1)\oplus 2(P)F_2^S(1)$	Spin Splitting
Q:(u,v,1/2)	G:(u/2-v/2,1/2,-v)	$2(Q)G_1^S(1)\oplus 2(Q)G_2^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u/2-v/2,w,-v)	$4G{P}_1^S(1)$	Spin Splitting

8d

k-vector	k-vector-G↑	A↑G(4)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^{S,+}(2)\oplus {\Gamma }_2^{S,+}(2)$
R:(-1/2,-1/2,1/2)	D:(0,1/2,1/2)	$2(R)D_1^S(2)$	Spin Splitting
S:(-1/2,-1/2,0)	B:(0,0,1/2)	$2(S)B_1^S(2)$	Spin Splitting
T:(1,0,1/2)	C:(1/2,1/2,0)	$(T)C_1^{S,-}(2)\oplus (T)C_2^{S,-}(2)$
Y:(1,0,0)	Y:(1/2,0,0)	$Y_1^{S,-}(2)\oplus Y_2^{S,-}(2)$
Z:(0,0,1/2)	Z:(0,1/2,0)	$Z_1^{S,+}(2)\oplus Z_2^{S,+}(2)$
A:(u,0,1/2)	G:(u/2,1/2,0)	$(A)G_1^S(2)\oplus (A)G_2^S(2)$
B:(0,v,1/2)	G:(-v/2,1/2,-v)	$(B)G_1^S(2)\oplus (B)G_2^S(2)$
D:(-1/2,-1/2,w)	V:(0,w,1/2)	$2(D)V_1^S{V}_2^S(2)$	Spin Splitting
Δ:(0,v,0)	F:(-v/2,0,-v)	$(\Delta )F_1^S(2)\oplus (\Delta )F_2^S(2)$
H:(1,0,w)	W:(1/2,w,0)	$2(H)W_1^S(2)$
Λ:(0,0,w)	Λ:(0,w,0)	$2{\Lambda }_1^S(2)$
Σ:(u,0,0)	F:(u/2,0,0)	$(\Sigma )F_1^S(2)\oplus (\Sigma )F_2^S(2)$
K:(0,v,w)	GP:(-v/2,w,-v)	$2(K)G{P}_1^S(2)$
M:(u,0,w)	GP:(u/2,w,0)	$2(M)G{P}_1^S(2)$
P:(u,v,0)	F:(u/2-v/2,0,-v)	$2(P)F_1^S(1)\oplus 2(P)F_2^S(1)$	Spin Splitting
Q:(u,v,1/2)	G:(u/2-v/2,1/2,-v)	$2(Q)G_1^S(1)\oplus 2(Q)G_2^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u/2-v/2,w,-v)	$4G{P}_1^S(1)$	Spin Splitting

8g

k-vector	k-vector-G↑	A↑G(4)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^{S,+}(2)\oplus {\Gamma }_1^{S,-}(2)$
R:(-1/2,-1/2,1/2)	D:(0,1/2,1/2)	$2(R)D_1^S(2)$	Spin Splitting
S:(-1/2,-1/2,0)	B:(0,0,1/2)	$2(S)B_1^S(2)$	Spin Splitting
T:(1,0,1/2)	C:(1/2,1/2,0)	$(T)C_1^{S,+}(2)\oplus (T)C_1^{S,-}(2)$
Y:(1,0,0)	Y:(1/2,0,0)	$Y_1^{S,+}(2)\oplus Y_1^{S,-}(2)$
Z:(0,0,1/2)	Z:(0,1/2,0)	$Z_1^{S,+}(2)\oplus Z_1^{S,-}(2)$
A:(u,0,1/2)	G:(u/2,1/2,0)	$(A)G_1^S(2)\oplus (A)G_2^S(2)$
B:(0,v,1/2)	G:(-v/2,1/2,-v)	$(B)G_1^S(2)\oplus (B)G_2^S(2)$
D:(-1/2,-1/2,w)	V:(0,w,1/2)	$2(D)V_1^S{V}_2^S(2)$	Spin Splitting
Δ:(0,v,0)	F:(-v/2,0,-v)	$(\Delta )F_1^S(2)\oplus (\Delta )F_2^S(2)$
H:(1,0,w)	W:(1/2,w,0)	$2(H)W_1^S(2)$
Λ:(0,0,w)	Λ:(0,w,0)	$2{\Lambda }_1^S(2)$
Σ:(u,0,0)	F:(u/2,0,0)	$(\Sigma )F_1^S(2)\oplus (\Sigma )F_2^S(2)$
K:(0,v,w)	GP:(-v/2,w,-v)	$2(K)G{P}_1^S(2)$
M:(u,0,w)	GP:(u/2,w,0)	$2(M)G{P}_1^S(2)$
P:(u,v,0)	F:(u/2-v/2,0,-v)	$2(P)F_1^S(1)\oplus 2(P)F_2^S(1)$	Spin Splitting
Q:(u,v,1/2)	G:(u/2-v/2,1/2,-v)	$2(Q)G_1^S(1)\oplus 2(Q)G_2^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u/2-v/2,w,-v)	$4G{P}_1^S(1)$	Spin Splitting

8h

k-vector	k-vector-G↑	A↑G(4)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^{S,+}(2)\oplus {\Gamma }_1^{S,-}(2)$
R:(-1/2,-1/2,1/2)	D:(0,1/2,1/2)	$2(R)D_1^S(2)$	Spin Splitting
S:(-1/2,-1/2,0)	B:(0,0,1/2)	$2(S)B_1^S(2)$	Spin Splitting
T:(1,0,1/2)	C:(1/2,1/2,0)	$(T)C_2^{S,+}(2)\oplus (T)C_2^{S,-}(2)$
Y:(1,0,0)	Y:(1/2,0,0)	$Y_2^{S,+}(2)\oplus Y_2^{S,-}(2)$
Z:(0,0,1/2)	Z:(0,1/2,0)	$Z_1^{S,+}(2)\oplus Z_1^{S,-}(2)$
A:(u,0,1/2)	G:(u/2,1/2,0)	$(A)G_1^S(2)\oplus (A)G_2^S(2)$
B:(0,v,1/2)	G:(-v/2,1/2,-v)	$(B)G_1^S(2)\oplus (B)G_2^S(2)$
D:(-1/2,-1/2,w)	V:(0,w,1/2)	$2(D)V_1^S{V}_2^S(2)$	Spin Splitting
Δ:(0,v,0)	F:(-v/2,0,-v)	$(\Delta )F_1^S(2)\oplus (\Delta )F_2^S(2)$
H:(1,0,w)	W:(1/2,w,0)	$2(H)W_2^S(2)$
Λ:(0,0,w)	Λ:(0,w,0)	$2{\Lambda }_1^S(2)$
Σ:(u,0,0)	F:(u/2,0,0)	$(\Sigma )F_1^S(2)\oplus (\Sigma )F_2^S(2)$
K:(0,v,w)	GP:(-v/2,w,-v)	$2(K)G{P}_1^S(2)$
M:(u,0,w)	GP:(u/2,w,0)	$2(M)G{P}_1^S(2)$
P:(u,v,0)	F:(u/2-v/2,0,-v)	$2(P)F_1^S(1)\oplus 2(P)F_2^S(1)$	Spin Splitting
Q:(u,v,1/2)	G:(u/2-v/2,1/2,-v)	$2(Q)G_1^S(1)\oplus 2(Q)G_2^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u/2-v/2,w,-v)	$4G{P}_1^S(1)$	Spin Splitting

16i

k-vector	k-vector-G↑	A↑G(8)
Γ:(0,0,0)	Γ:(0,0,0)	${\Gamma }_1^{S,+}(2)\oplus {\Gamma }_1^{S,-}(2)\oplus {\Gamma }_2^{S,+}(2)\oplus {\Gamma }_2^{S,-}(2)$
R:(-1/2,-1/2,1/2)	D:(0,1/2,1/2)	$4(R)D_1^S(2)$	Spin Splitting
S:(-1/2,-1/2,0)	B:(0,0,1/2)	$4(S)B_1^S(2)$	Spin Splitting
T:(1,0,1/2)	C:(1/2,1/2,0)	$(T)C_1^{S,+}(2)\oplus (T)C_1^{S,-}(2)\oplus (T)C_2^{S,+}(2)\oplus (T)C_2^{S,-}(2)$
Y:(1,0,0)	Y:(1/2,0,0)	$Y_1^{S,+}(2)\oplus Y_1^{S,-}(2)\oplus Y_2^{S,+}(2)\oplus Y_2^{S,-}(2)$
Z:(0,0,1/2)	Z:(0,1/2,0)	$Z_1^{S,+}(2)\oplus Z_1^{S,-}(2)\oplus Z_2^{S,+}(2)\oplus Z_2^{S,-}(2)$
A:(u,0,1/2)	G:(u/2,1/2,0)	$2(A)G_1^S(2)\oplus 2(A)G_2^S(2)$
B:(0,v,1/2)	G:(-v/2,1/2,-v)	$2(B)G_1^S(2)\oplus 2(B)G_2^S(2)$
D:(-1/2,-1/2,w)	V:(0,w,1/2)	$4(D)V_1^S{V}_2^S(2)$	Spin Splitting
Δ:(0,v,0)	F:(-v/2,0,-v)	$2(\Delta )F_1^S(2)\oplus 2(\Delta )F_2^S(2)$
H:(1,0,w)	W:(1/2,w,0)	$2(H)W_1^S(2)\oplus 2(H)W_2^S(2)$
Λ:(0,0,w)	Λ:(0,w,0)	$2{\Lambda }_1^S(2)\oplus 2{\Lambda }_2^S(2)$
Σ:(u,0,0)	F:(u/2,0,0)	$2(\Sigma )F_1^S(2)\oplus 2(\Sigma )F_2^S(2)$
K:(0,v,w)	GP:(-v/2,w,-v)	$4(K)G{P}_1^S(2)$
M:(u,0,w)	GP:(u/2,w,0)	$4(M)G{P}_1^S(2)$
P:(u,v,0)	F:(u/2-v/2,0,-v)	$4(P)F_1^S(1)\oplus 4(P)F_2^S(1)$	Spin Splitting
Q:(u,v,1/2)	G:(u/2-v/2,1/2,-v)	$4(Q)G_1^S(1)\oplus 4(Q)G_2^S(1)$	Spin Splitting
GP:(u,v,w)	GP:(u/2-v/2,w,-v)	$8G{P}_1^S(1)$	Spin Splitting