Information of spin space group $P{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}{4}_3{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$ ( nSSG:212.212.1.1 )

General Positions

The continuously infinite group ^∞1 is omitted.

Coordinates	Seitz symbol
a, b, c | x, y, z	{ 1 ‖ 1 | 0 }
a+3/4, -c+3/4, b+1/4 | x, y, z	{ 1 ‖ 4+100 | 3/4 3/4 1/4 }
a+1/4, c+3/4, -b+3/4 | x, y, z	{ 1 ‖ 4-100 | 1/4 3/4 3/4 }
c+1/4, b+3/4, -a+3/4 | x, y, z	{ 1 ‖ 4+010 | 1/4 3/4 3/4 }
-c+3/4, b+1/4, a+3/4 | x, y, z	{ 1 ‖ 4-010 | 3/4 1/4 3/4 }
-b+3/4, a+1/4, c+3/4 | x, y, z	{ 1 ‖ 4+001 | 3/4 1/4 3/4 }
b+3/4, -a+3/4, c+1/4 | x, y, z	{ 1 ‖ 4-001 | 3/4 3/4 1/4 }
a+1/2, -b+1/2, -c | x, y, z	{ 1 ‖ 2100 | 1/2 1/2 0 }
-a, b+1/2, -c+1/2 | x, y, z	{ 1 ‖ 2010 | 0 1/2 1/2 }
-a+1/2, -b, c+1/2 | x, y, z	{ 1 ‖ 2001 | 1/2 0 1/2 }
b+1/4, a+3/4, -c+3/4 | x, y, z	{ 1 ‖ 2110 | 1/4 3/4 3/4 }
-b+1/4, -a+1/4, -c+1/4 | x, y, z	{ 1 ‖ 21-10 | 1/4 1/4 1/4 }
-a+3/4, c+1/4, b+3/4 | x, y, z	{ 1 ‖ 2011 | 3/4 1/4 3/4 }
-a+1/4, -c+1/4, -b+1/4 | x, y, z	{ 1 ‖ 201-1 | 1/4 1/4 1/4 }
c+3/4, -b+3/4, a+1/4 | x, y, z	{ 1 ‖ 2101 | 3/4 3/4 1/4 }
-c+1/4, -b+1/4, -a+1/4 | x, y, z	{ 1 ‖ 2-101 | 1/4 1/4 1/4 }
c, a, b | x, y, z	{ 1 ‖ 3+111 | 0 }
b, c, a | x, y, z	{ 1 ‖ 3-111 | 0 }
-b, c+1/2, -a+1/2 | x, y, z	{ 1 ‖ 3-1-1-1 | 0 1/2 1/2 }
-c+1/2, -a, b+1/2 | x, y, z	{ 1 ‖ 3+1-1-1 | 1/2 0 1/2 }
-b+1/2, -c, a+1/2 | x, y, z	{ 1 ‖ 3--11-1 | 1/2 0 1/2 }
c+1/2, -a+1/2, -b | x, y, z	{ 1 ‖ 3+-11-1 | 1/2 1/2 0 }
b+1/2, -c+1/2, -a | x, y, z	{ 1 ‖ 3--1-11 | 1/2 1/2 0 }
-c, a+1/2, -b+1/2 | x, y, z	{ 1 ‖ 3+-1-11 | 0 1/2 1/2 }
a, b, c | -x, y, z	{ m ‖ 1 | 0 }
a+3/4, -c+3/4, b+1/4 | -x, y, z	{ m ‖ 4+100 | 3/4 3/4 1/4 }
a+1/4, c+3/4, -b+3/4 | -x, y, z	{ m ‖ 4-100 | 1/4 3/4 3/4 }
c+1/4, b+3/4, -a+3/4 | -x, y, z	{ m ‖ 4+010 | 1/4 3/4 3/4 }
-c+3/4, b+1/4, a+3/4 | -x, y, z	{ m ‖ 4-010 | 3/4 1/4 3/4 }
-b+3/4, a+1/4, c+3/4 | -x, y, z	{ m ‖ 4+001 | 3/4 1/4 3/4 }
b+3/4, -a+3/4, c+1/4 | -x, y, z	{ m ‖ 4-001 | 3/4 3/4 1/4 }
a+1/2, -b+1/2, -c | -x, y, z	{ m ‖ 2100 | 1/2 1/2 0 }
-a, b+1/2, -c+1/2 | -x, y, z	{ m ‖ 2010 | 0 1/2 1/2 }
-a+1/2, -b, c+1/2 | -x, y, z	{ m ‖ 2001 | 1/2 0 1/2 }
b+1/4, a+3/4, -c+3/4 | -x, y, z	{ m ‖ 2110 | 1/4 3/4 3/4 }
-b+1/4, -a+1/4, -c+1/4 | -x, y, z	{ m ‖ 21-10 | 1/4 1/4 1/4 }
-a+3/4, c+1/4, b+3/4 | -x, y, z	{ m ‖ 2011 | 3/4 1/4 3/4 }
-a+1/4, -c+1/4, -b+1/4 | -x, y, z	{ m ‖ 201-1 | 1/4 1/4 1/4 }
c+3/4, -b+3/4, a+1/4 | -x, y, z	{ m ‖ 2101 | 3/4 3/4 1/4 }
-c+1/4, -b+1/4, -a+1/4 | -x, y, z	{ m ‖ 2-101 | 1/4 1/4 1/4 }
c, a, b | -x, y, z	{ m ‖ 3+111 | 0 }
b, c, a | -x, y, z	{ m ‖ 3-111 | 0 }
-b, c+1/2, -a+1/2 | -x, y, z	{ m ‖ 3-1-1-1 | 0 1/2 1/2 }
-c+1/2, -a, b+1/2 | -x, y, z	{ m ‖ 3+1-1-1 | 1/2 0 1/2 }
-b+1/2, -c, a+1/2 | -x, y, z	{ m ‖ 3--11-1 | 1/2 0 1/2 }
c+1/2, -a+1/2, -b | -x, y, z	{ m ‖ 3+-11-1 | 1/2 1/2 0 }
b+1/2, -c+1/2, -a | -x, y, z	{ m ‖ 3--1-11 | 1/2 1/2 0 }
-c, a+1/2, -b+1/2 | -x, y, z	{ m ‖ 3+-1-11 | 0 1/2 1/2 }

Wyckoff Positions

WP	Site symmetry	Representative
4a	$.{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/8,1/8,1/8 |0,0,z)
4b	$.{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(5/8,5/8,5/8 |0,0,z)
8c	$.{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}.{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,a,a |0,0,z)
12d	$..{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/8,b,-b+1/4 |0,0,z)
24e	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,b,c |0,0,z)

Spin Brillouin Zone & k-little co-groups

Wavevector-k	Little co-group
Γ:(0,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
R:(1/2,1/2,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
M:(1/2,1/2,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
X:(0,1/2,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$
Δ:(0,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{4}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
T:(1/2,1/2,w)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{4}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Λ:(u,u,u)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
S:(u,1/2,u)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Σ:(u,u,0)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
Z:(u,1/2,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
A:(u,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
B:(u,1/2,w)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
C:(u,u,w)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$
GP:(u,v,w)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }}\text{1}$

Spin Brillouin Zone

Band Representations (Magnon)

4a

k-vector	A1↑G(4)
Γ:(0,0,0)	${\Gamma }_1^S(1)\oplus {\Gamma }_5^S(3)$
R:(1/2,1/2,1/2)	$R_3^S(4)$
M:(1/2,1/2,0)	$M_1^S{M}_4^S(2)\oplus M_5^S(2)$
X:(0,1/2,0)	$X_1^S(2)\oplus X_2^S(2)$
Δ:(0,v,0)	${\Delta }_1^S(1)\oplus {\Delta }_2^S(1)\oplus {\Delta }_3^S(1)\oplus {\Delta }_4^S(1)$
T:(1/2,1/2,w)	$T_1^S{T}_2^S(2)\oplus T_3^S{T}_4^S(2)$
Λ:(u,u,u)	$2{\Lambda }_1^S(1)\oplus {\Lambda }_2^S(1)\oplus {\Lambda }_3^S(1)$
S:(u,1/2,u)	$2S_1^S{S}_2^S(2)$
Σ:(u,u,0)	$3{\Sigma }_1^S(1)\oplus {\Sigma }_2^S(1)$
Z:(u,1/2,0)	$2Z_1^S{Z}_2^S(2)$
A:(u,v,0)	$4A_1^S(1)$
B:(u,1/2,w)	$2B_1^S{B}_1^S(2)$
C:(u,u,w)	$4C_1^S(1)$
GP:(u,v,w)	$4G{P}_1^S(1)$

4b

k-vector	A1↑G(4)
Γ:(0,0,0)	${\Gamma }_1^S(1)\oplus {\Gamma }_5^S(3)$
R:(1/2,1/2,1/2)	$R_3^S(4)$
M:(1/2,1/2,0)	$M_1^S{M}_4^S(2)\oplus M_5^S(2)$
X:(0,1/2,0)	$X_1^S(2)\oplus X_2^S(2)$
Δ:(0,v,0)	${\Delta }_1^S(1)\oplus {\Delta }_2^S(1)\oplus {\Delta }_3^S(1)\oplus {\Delta }_4^S(1)$
T:(1/2,1/2,w)	$T_1^S{T}_2^S(2)\oplus T_3^S{T}_4^S(2)$
Λ:(u,u,u)	$2{\Lambda }_1^S(1)\oplus {\Lambda }_2^S(1)\oplus {\Lambda }_3^S(1)$
S:(u,1/2,u)	$2S_1^S{S}_2^S(2)$
Σ:(u,u,0)	$3{\Sigma }_1^S(1)\oplus {\Sigma }_2^S(1)$
Z:(u,1/2,0)	$2Z_1^S{Z}_2^S(2)$
A:(u,v,0)	$4A_1^S(1)$
B:(u,1/2,w)	$2B_1^S{B}_1^S(2)$
C:(u,u,w)	$4C_1^S(1)$
GP:(u,v,w)	$4G{P}_1^S(1)$

8c

k-vector	A1↑G(8)
Γ:(0,0,0)	${\Gamma }_1^S(1)\oplus {\Gamma }_2^S(1)\oplus {\Gamma }_4^S(3)\oplus {\Gamma }_5^S(3)$
R:(1/2,1/2,1/2)	$2R_3^S(4)$
M:(1/2,1/2,0)	$M_1^S{M}_4^S(2)\oplus M_2^S{M}_3^S(2)\oplus 2M_5^S(2)$
X:(0,1/2,0)	$2X_1^S(2)\oplus 2X_2^S(2)$
Δ:(0,v,0)	$2{\Delta }_1^S(1)\oplus 2{\Delta }_2^S(1)\oplus 2{\Delta }_3^S(1)\oplus 2{\Delta }_4^S(1)$
T:(1/2,1/2,w)	$2T_1^S{T}_2^S(2)\oplus 2T_3^S{T}_4^S(2)$
Λ:(u,u,u)	$4{\Lambda }_1^S(1)\oplus 2{\Lambda }_2^S(1)\oplus 2{\Lambda }_3^S(1)$
S:(u,1/2,u)	$4S_1^S{S}_2^S(2)$
Σ:(u,u,0)	$4{\Sigma }_1^S(1)\oplus 4{\Sigma }_2^S(1)$
Z:(u,1/2,0)	$4Z_1^S{Z}_2^S(2)$
A:(u,v,0)	$8A_1^S(1)$
B:(u,1/2,w)	$4B_1^S{B}_1^S(2)$
C:(u,u,w)	$8C_1^S(1)$
GP:(u,v,w)	$8G{P}_1^S(1)$

12d

k-vector	A↑G(12)
Γ:(0,0,0)	${\Gamma }_1^S(1)\oplus {\Gamma }_3^S(2)\oplus {\Gamma }_4^S(3)\oplus 2{\Gamma }_5^S(3)$
R:(1/2,1/2,1/2)	$R_1^S{R}_2^S(4)\oplus 2R_3^S(4)$
M:(1/2,1/2,0)	$2M_1^S{M}_4^S(2)\oplus M_2^S{M}_3^S(2)\oplus 3M_5^S(2)$
X:(0,1/2,0)	$3X_1^S(2)\oplus 3X_2^S(2)$
Δ:(0,v,0)	$3{\Delta }_1^S(1)\oplus 3{\Delta }_2^S(1)\oplus 3{\Delta }_3^S(1)\oplus 3{\Delta }_4^S(1)$
T:(1/2,1/2,w)	$3T_1^S{T}_2^S(2)\oplus 3T_3^S{T}_4^S(2)$
Λ:(u,u,u)	$4{\Lambda }_1^S(1)\oplus 4{\Lambda }_2^S(1)\oplus 4{\Lambda }_3^S(1)$
S:(u,1/2,u)	$6S_1^S{S}_2^S(2)$
Σ:(u,u,0)	$7{\Sigma }_1^S(1)\oplus 5{\Sigma }_2^S(1)$
Z:(u,1/2,0)	$6Z_1^S{Z}_2^S(2)$
A:(u,v,0)	$12A_1^S(1)$
B:(u,1/2,w)	$6B_1^S{B}_1^S(2)$
C:(u,u,w)	$12C_1^S(1)$
GP:(u,v,w)	$12G{P}_1^S(1)$

24e

k-vector	A↑G(24)
Γ:(0,0,0)	${\Gamma }_1^S(1)\oplus {\Gamma }_2^S(1)\oplus 2{\Gamma }_3^S(2)\oplus 3{\Gamma }_4^S(3)\oplus 3{\Gamma }_5^S(3)$
R:(1/2,1/2,1/2)	$2R_1^S{R}_2^S(4)\oplus 4R_3^S(4)$
M:(1/2,1/2,0)	$3M_1^S{M}_4^S(2)\oplus 3M_2^S{M}_3^S(2)\oplus 6M_5^S(2)$
X:(0,1/2,0)	$6X_1^S(2)\oplus 6X_2^S(2)$
Δ:(0,v,0)	$6{\Delta }_1^S(1)\oplus 6{\Delta }_2^S(1)\oplus 6{\Delta }_3^S(1)\oplus 6{\Delta }_4^S(1)$
T:(1/2,1/2,w)	$6T_1^S{T}_2^S(2)\oplus 6T_3^S{T}_4^S(2)$
Λ:(u,u,u)	$8{\Lambda }_1^S(1)\oplus 8{\Lambda }_2^S(1)\oplus 8{\Lambda }_3^S(1)$
S:(u,1/2,u)	$12S_1^S{S}_2^S(2)$
Σ:(u,u,0)	$12{\Sigma }_1^S(1)\oplus 12{\Sigma }_2^S(1)$
Z:(u,1/2,0)	$12Z_1^S{Z}_2^S(2)$
A:(u,v,0)	$24A_1^S(1)$
B:(u,1/2,w)	$12B_1^S{B}_1^S(2)$
C:(u,u,w)	$24C_1^S(1)$
GP:(u,v,w)	$24G{P}_1^S(1)$