Information of spin space group $F_S{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-}\text{4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{c}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$ ( nSSG:219.215.2.1 )

General Positions

The continuously infinite group ^∞1 is omitted.

Coordinates	Seitz symbol
a, b, c | x, y, z	{ 1 ‖ 1 | 0 }
a, -b, -c | x, y, z	{ 1 ‖ 2100 | 0 }
-a, b, -c | x, y, z	{ 1 ‖ 2010 | 0 }
-a, -b, c | x, y, z	{ 1 ‖ 2001 | 0 }
c, a, b | x, y, z	{ 1 ‖ 3+111 | 0 }
b, c, a | x, y, z	{ 1 ‖ 3-111 | 0 }
-b, c, -a | x, y, z	{ 1 ‖ 3-1-1-1 | 0 }
-c, -a, b | x, y, z	{ 1 ‖ 3+1-1-1 | 0 }
-b, -c, a | x, y, z	{ 1 ‖ 3--11-1 | 0 }
c, -a, -b | x, y, z	{ 1 ‖ 3+-11-1 | 0 }
b, -c, -a | x, y, z	{ 1 ‖ 3--1-11 | 0 }
-c, a, -b | x, y, z	{ 1 ‖ 3+-1-11 | 0 }
-a+1/2, c+1/2, -b+1/2 | x, y, z	{ 1 ‖ -4+100 | 1/2 1/2 1/2 }
-a+1/2, -c+1/2, b+1/2 | x, y, z	{ 1 ‖ -4-100 | 1/2 1/2 1/2 }
-c+1/2, -b+1/2, a+1/2 | x, y, z	{ 1 ‖ -4+010 | 1/2 1/2 1/2 }
c+1/2, -b+1/2, -a+1/2 | x, y, z	{ 1 ‖ -4-010 | 1/2 1/2 1/2 }
b+1/2, -a+1/2, -c+1/2 | x, y, z	{ 1 ‖ -4+001 | 1/2 1/2 1/2 }
-b+1/2, a+1/2, -c+1/2 | x, y, z	{ 1 ‖ -4-001 | 1/2 1/2 1/2 }
-b+1/2, -a+1/2, c+1/2 | x, y, z	{ 1 ‖ m110 | 1/2 1/2 1/2 }
b+1/2, a+1/2, c+1/2 | x, y, z	{ 1 ‖ m1-10 | 1/2 1/2 1/2 }
a+1/2, -c+1/2, -b+1/2 | x, y, z	{ 1 ‖ m011 | 1/2 1/2 1/2 }
a+1/2, c+1/2, b+1/2 | x, y, z	{ 1 ‖ m01-1 | 1/2 1/2 1/2 }
-c+1/2, b+1/2, -a+1/2 | x, y, z	{ 1 ‖ m101 | 1/2 1/2 1/2 }
c+1/2, b+1/2, a+1/2 | x, y, z	{ 1 ‖ m-101 | 1/2 1/2 1/2 }
a, b+1/2, c+1/2 | x, y, z	{ 1 ‖ 1 | 0 1/2 1/2 }
a, -b+1/2, -c+1/2 | x, y, z	{ 1 ‖ 2100 | 0 1/2 1/2 }
-a, b+1/2, -c+1/2 | x, y, z	{ 1 ‖ 2010 | 0 1/2 1/2 }
-a, -b+1/2, c+1/2 | x, y, z	{ 1 ‖ 2001 | 0 1/2 1/2 }
c, a+1/2, b+1/2 | x, y, z	{ 1 ‖ 3+111 | 0 1/2 1/2 }
b, c+1/2, a+1/2 | x, y, z	{ 1 ‖ 3-111 | 0 1/2 1/2 }
-b, c+1/2, -a+1/2 | x, y, z	{ 1 ‖ 3-1-1-1 | 0 1/2 1/2 }
-c, -a+1/2, b+1/2 | x, y, z	{ 1 ‖ 3+1-1-1 | 0 1/2 1/2 }
-b, -c+1/2, a+1/2 | x, y, z	{ 1 ‖ 3--11-1 | 0 1/2 1/2 }
c, -a+1/2, -b+1/2 | x, y, z	{ 1 ‖ 3+-11-1 | 0 1/2 1/2 }
b, -c+1/2, -a+1/2 | x, y, z	{ 1 ‖ 3--1-11 | 0 1/2 1/2 }
-c, a+1/2, -b+1/2 | x, y, z	{ 1 ‖ 3+-1-11 | 0 1/2 1/2 }
-a+1/2, c, -b | x, y, z	{ 1 ‖ -4+100 | 1/2 0 0 }
-a+1/2, -c, b | x, y, z	{ 1 ‖ -4-100 | 1/2 0 0 }
-c+1/2, -b, a | x, y, z	{ 1 ‖ -4+010 | 1/2 0 0 }
c+1/2, -b, -a | x, y, z	{ 1 ‖ -4-010 | 1/2 0 0 }
b+1/2, -a, -c | x, y, z	{ 1 ‖ -4+001 | 1/2 0 0 }
-b+1/2, a, -c | x, y, z	{ 1 ‖ -4-001 | 1/2 0 0 }
-b+1/2, -a, c | x, y, z	{ 1 ‖ m110 | 1/2 0 0 }
b+1/2, a, c | x, y, z	{ 1 ‖ m1-10 | 1/2 0 0 }
a+1/2, -c, -b | x, y, z	{ 1 ‖ m011 | 1/2 0 0 }
a+1/2, c, b | x, y, z	{ 1 ‖ m01-1 | 1/2 0 0 }
-c+1/2, b, -a | x, y, z	{ 1 ‖ m101 | 1/2 0 0 }
c+1/2, b, a | x, y, z	{ 1 ‖ m-101 | 1/2 0 0 }
a+1/2, b, c+1/2 | x, y, z	{ 1 ‖ 1 | 1/2 0 1/2 }
a+1/2, -b, -c+1/2 | x, y, z	{ 1 ‖ 2100 | 1/2 0 1/2 }
-a+1/2, b, -c+1/2 | x, y, z	{ 1 ‖ 2010 | 1/2 0 1/2 }
-a+1/2, -b, c+1/2 | x, y, z	{ 1 ‖ 2001 | 1/2 0 1/2 }
c+1/2, a, b+1/2 | x, y, z	{ 1 ‖ 3+111 | 1/2 0 1/2 }
b+1/2, c, a+1/2 | x, y, z	{ 1 ‖ 3-111 | 1/2 0 1/2 }
-b+1/2, c, -a+1/2 | x, y, z	{ 1 ‖ 3-1-1-1 | 1/2 0 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, -b+1/2 | x, y, z	{ 1 ‖ 3+-11-1 | 1/2 0 1/2 }
b+1/2, -c, -a+1/2 | x, y, z	{ 1 ‖ 3--1-11 | 1/2 0 1/2 }
-c+1/2, a, -b+1/2 | x, y, z	{ 1 ‖ 3+-1-11 | 1/2 0 1/2 }
-a, c+1/2, -b | x, y, z	{ 1 ‖ -4+100 | 0 1/2 0 }
-a, -c+1/2, b | x, y, z	{ 1 ‖ -4-100 | 0 1/2 0 }
-c, -b+1/2, a | x, y, z	{ 1 ‖ -4+010 | 0 1/2 0 }
c, -b+1/2, -a | x, y, z	{ 1 ‖ -4-010 | 0 1/2 0 }
b, -a+1/2, -c | x, y, z	{ 1 ‖ -4+001 | 0 1/2 0 }
-b, a+1/2, -c | x, y, z	{ 1 ‖ -4-001 | 0 1/2 0 }
-b, -a+1/2, c | x, y, z	{ 1 ‖ m110 | 0 1/2 0 }
b, a+1/2, c | x, y, z	{ 1 ‖ m1-10 | 0 1/2 0 }
a, -c+1/2, -b | x, y, z	{ 1 ‖ m011 | 0 1/2 0 }
a, c+1/2, b | x, y, z	{ 1 ‖ m01-1 | 0 1/2 0 }
-c, b+1/2, -a | x, y, z	{ 1 ‖ m101 | 0 1/2 0 }
c, b+1/2, a | x, y, z	{ 1 ‖ m-101 | 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+1/2, -c | x, y, z	{ 1 ‖ 2100 | 1/2 1/2 0 }
-a+1/2, b+1/2, -c | x, y, z	{ 1 ‖ 2010 | 1/2 1/2 0 }
-a+1/2, -b+1/2, c | x, y, z	{ 1 ‖ 2001 | 1/2 1/2 0 }
c+1/2, a+1/2, b | x, y, z	{ 1 ‖ 3+111 | 1/2 1/2 0 }
b+1/2, c+1/2, a | x, y, z	{ 1 ‖ 3-111 | 1/2 1/2 0 }
-b+1/2, c+1/2, -a | x, y, z	{ 1 ‖ 3-1-1-1 | 1/2 1/2 0 }
-c+1/2, -a+1/2, b | x, y, z	{ 1 ‖ 3+1-1-1 | 1/2 1/2 0 }
-b+1/2, -c+1/2, a | x, y, z	{ 1 ‖ 3--11-1 | 1/2 1/2 0 }
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+1/2, a+1/2, -b | x, y, z	{ 1 ‖ 3+-1-11 | 1/2 1/2 0 }
-a, c, -b+1/2 | x, y, z	{ 1 ‖ -4+100 | 0 0 1/2 }
-a, -c, b+1/2 | x, y, z	{ 1 ‖ -4-100 | 0 0 1/2 }
-c, -b, a+1/2 | x, y, z	{ 1 ‖ -4+010 | 0 0 1/2 }
c, -b, -a+1/2 | x, y, z	{ 1 ‖ -4-010 | 0 0 1/2 }
b, -a, -c+1/2 | x, y, z	{ 1 ‖ -4+001 | 0 0 1/2 }
-b, a, -c+1/2 | x, y, z	{ 1 ‖ -4-001 | 0 0 1/2 }
-b, -a, c+1/2 | x, y, z	{ 1 ‖ m110 | 0 0 1/2 }
b, a, c+1/2 | x, y, z	{ 1 ‖ m1-10 | 0 0 1/2 }
a, -c, -b+1/2 | x, y, z	{ 1 ‖ m011 | 0 0 1/2 }
a, c, b+1/2 | x, y, z	{ 1 ‖ m01-1 | 0 0 1/2 }
-c, b, -a+1/2 | x, y, z	{ 1 ‖ m101 | 0 0 1/2 }
c, b, a+1/2 | x, y, z	{ 1 ‖ m-101 | 0 0 1/2 }
a, b, c+1/2 | -x, -y, -z	{ -1 ‖ 1 | 0 0 1/2 }
a, -b, -c+1/2 | -x, -y, -z	{ -1 ‖ 2100 | 0 0 1/2 }
-a, b, -c+1/2 | -x, -y, -z	{ -1 ‖ 2010 | 0 0 1/2 }
-a, -b, c+1/2 | -x, -y, -z	{ -1 ‖ 2001 | 0 0 1/2 }
c, a, b+1/2 | -x, -y, -z	{ -1 ‖ 3+111 | 0 0 1/2 }
b, c, a+1/2 | -x, -y, -z	{ -1 ‖ 3-111 | 0 0 1/2 }
-b, c, -a+1/2 | -x, -y, -z	{ -1 ‖ 3-1-1-1 | 0 0 1/2 }
-c, -a, b+1/2 | -x, -y, -z	{ -1 ‖ 3+1-1-1 | 0 0 1/2 }
-b, -c, a+1/2 | -x, -y, -z	{ -1 ‖ 3--11-1 | 0 0 1/2 }
c, -a, -b+1/2 | -x, -y, -z	{ -1 ‖ 3+-11-1 | 0 0 1/2 }
b, -c, -a+1/2 | -x, -y, -z	{ -1 ‖ 3--1-11 | 0 0 1/2 }
-c, a, -b+1/2 | -x, -y, -z	{ -1 ‖ 3+-1-11 | 0 0 1/2 }
-a+1/2, c+1/2, -b | -x, -y, -z	{ -1 ‖ -4+100 | 1/2 1/2 0 }
-a+1/2, -c+1/2, b | -x, -y, -z	{ -1 ‖ -4-100 | 1/2 1/2 0 }
-c+1/2, -b+1/2, a | -x, -y, -z	{ -1 ‖ -4+010 | 1/2 1/2 0 }
c+1/2, -b+1/2, -a | -x, -y, -z	{ -1 ‖ -4-010 | 1/2 1/2 0 }
b+1/2, -a+1/2, -c | -x, -y, -z	{ -1 ‖ -4+001 | 1/2 1/2 0 }
-b+1/2, a+1/2, -c | -x, -y, -z	{ -1 ‖ -4-001 | 1/2 1/2 0 }
-b+1/2, -a+1/2, c | -x, -y, -z	{ -1 ‖ m110 | 1/2 1/2 0 }
b+1/2, a+1/2, c | -x, -y, -z	{ -1 ‖ m1-10 | 1/2 1/2 0 }
a+1/2, -c+1/2, -b | -x, -y, -z	{ -1 ‖ m011 | 1/2 1/2 0 }
a+1/2, c+1/2, b | -x, -y, -z	{ -1 ‖ m01-1 | 1/2 1/2 0 }
-c+1/2, b+1/2, -a | -x, -y, -z	{ -1 ‖ m101 | 1/2 1/2 0 }
c+1/2, b+1/2, a | -x, -y, -z	{ -1 ‖ m-101 | 1/2 1/2 0 }
a, b+1/2, c | -x, -y, -z	{ -1 ‖ 1 | 0 1/2 0 }
a, -b+1/2, -c | -x, -y, -z	{ -1 ‖ 2100 | 0 1/2 0 }
-a, b+1/2, -c | -x, -y, -z	{ -1 ‖ 2010 | 0 1/2 0 }
-a, -b+1/2, c | -x, -y, -z	{ -1 ‖ 2001 | 0 1/2 0 }
c, a+1/2, b | -x, -y, -z	{ -1 ‖ 3+111 | 0 1/2 0 }
b, c+1/2, a | -x, -y, -z	{ -1 ‖ 3-111 | 0 1/2 0 }
-b, c+1/2, -a | -x, -y, -z	{ -1 ‖ 3-1-1-1 | 0 1/2 0 }
-c, -a+1/2, b | -x, -y, -z	{ -1 ‖ 3+1-1-1 | 0 1/2 0 }
-b, -c+1/2, a | -x, -y, -z	{ -1 ‖ 3--11-1 | 0 1/2 0 }
c, -a+1/2, -b | -x, -y, -z	{ -1 ‖ 3+-11-1 | 0 1/2 0 }
b, -c+1/2, -a | -x, -y, -z	{ -1 ‖ 3--1-11 | 0 1/2 0 }
-c, a+1/2, -b | -x, -y, -z	{ -1 ‖ 3+-1-11 | 0 1/2 0 }
-a+1/2, c, -b+1/2 | -x, -y, -z	{ -1 ‖ -4+100 | 1/2 0 1/2 }
-a+1/2, -c, b+1/2 | -x, -y, -z	{ -1 ‖ -4-100 | 1/2 0 1/2 }
-c+1/2, -b, a+1/2 | -x, -y, -z	{ -1 ‖ -4+010 | 1/2 0 1/2 }
c+1/2, -b, -a+1/2 | -x, -y, -z	{ -1 ‖ -4-010 | 1/2 0 1/2 }
b+1/2, -a, -c+1/2 | -x, -y, -z	{ -1 ‖ -4+001 | 1/2 0 1/2 }
-b+1/2, a, -c+1/2 | -x, -y, -z	{ -1 ‖ -4-001 | 1/2 0 1/2 }
-b+1/2, -a, c+1/2 | -x, -y, -z	{ -1 ‖ m110 | 1/2 0 1/2 }
b+1/2, a, c+1/2 | -x, -y, -z	{ -1 ‖ m1-10 | 1/2 0 1/2 }
a+1/2, -c, -b+1/2 | -x, -y, -z	{ -1 ‖ m011 | 1/2 0 1/2 }
a+1/2, c, b+1/2 | -x, -y, -z	{ -1 ‖ m01-1 | 1/2 0 1/2 }
-c+1/2, b, -a+1/2 | -x, -y, -z	{ -1 ‖ m101 | 1/2 0 1/2 }
c+1/2, b, a+1/2 | -x, -y, -z	{ -1 ‖ m-101 | 1/2 0 1/2 }
a+1/2, b, c | -x, -y, -z	{ -1 ‖ 1 | 1/2 0 0 }
a+1/2, -b, -c | -x, -y, -z	{ -1 ‖ 2100 | 1/2 0 0 }
-a+1/2, b, -c | -x, -y, -z	{ -1 ‖ 2010 | 1/2 0 0 }
-a+1/2, -b, c | -x, -y, -z	{ -1 ‖ 2001 | 1/2 0 0 }
c+1/2, a, b | -x, -y, -z	{ -1 ‖ 3+111 | 1/2 0 0 }
b+1/2, c, a | -x, -y, -z	{ -1 ‖ 3-111 | 1/2 0 0 }
-b+1/2, c, -a | -x, -y, -z	{ -1 ‖ 3-1-1-1 | 1/2 0 0 }
-c+1/2, -a, b | -x, -y, -z	{ -1 ‖ 3+1-1-1 | 1/2 0 0 }
-b+1/2, -c, a | -x, -y, -z	{ -1 ‖ 3--11-1 | 1/2 0 0 }
c+1/2, -a, -b | -x, -y, -z	{ -1 ‖ 3+-11-1 | 1/2 0 0 }
b+1/2, -c, -a | -x, -y, -z	{ -1 ‖ 3--1-11 | 1/2 0 0 }
-c+1/2, a, -b | -x, -y, -z	{ -1 ‖ 3+-1-11 | 1/2 0 0 }
-a, c+1/2, -b+1/2 | -x, -y, -z	{ -1 ‖ -4+100 | 0 1/2 1/2 }
-a, -c+1/2, b+1/2 | -x, -y, -z	{ -1 ‖ -4-100 | 0 1/2 1/2 }
-c, -b+1/2, a+1/2 | -x, -y, -z	{ -1 ‖ -4+010 | 0 1/2 1/2 }
c, -b+1/2, -a+1/2 | -x, -y, -z	{ -1 ‖ -4-010 | 0 1/2 1/2 }
b, -a+1/2, -c+1/2 | -x, -y, -z	{ -1 ‖ -4+001 | 0 1/2 1/2 }
-b, a+1/2, -c+1/2 | -x, -y, -z	{ -1 ‖ -4-001 | 0 1/2 1/2 }
-b, -a+1/2, c+1/2 | -x, -y, -z	{ -1 ‖ m110 | 0 1/2 1/2 }
b, a+1/2, c+1/2 | -x, -y, -z	{ -1 ‖ m1-10 | 0 1/2 1/2 }
a, -c+1/2, -b+1/2 | -x, -y, -z	{ -1 ‖ m011 | 0 1/2 1/2 }
a, c+1/2, b+1/2 | -x, -y, -z	{ -1 ‖ m01-1 | 0 1/2 1/2 }
-c, b+1/2, -a+1/2 | -x, -y, -z	{ -1 ‖ m101 | 0 1/2 1/2 }
c, b+1/2, a+1/2 | -x, -y, -z	{ -1 ‖ m-101 | 0 1/2 1/2 }
a+1/2, b+1/2, c+1/2 | -x, -y, -z	{ -1 ‖ 1 | 1/2 1/2 1/2 }
a+1/2, -b+1/2, -c+1/2 | -x, -y, -z	{ -1 ‖ 2100 | 1/2 1/2 1/2 }
-a+1/2, b+1/2, -c+1/2 | -x, -y, -z	{ -1 ‖ 2010 | 1/2 1/2 1/2 }
-a+1/2, -b+1/2, c+1/2 | -x, -y, -z	{ -1 ‖ 2001 | 1/2 1/2 1/2 }
c+1/2, a+1/2, b+1/2 | -x, -y, -z	{ -1 ‖ 3+111 | 1/2 1/2 1/2 }
b+1/2, c+1/2, a+1/2 | -x, -y, -z	{ -1 ‖ 3-111 | 1/2 1/2 1/2 }
-b+1/2, c+1/2, -a+1/2 | -x, -y, -z	{ -1 ‖ 3-1-1-1 | 1/2 1/2 1/2 }
-c+1/2, -a+1/2, b+1/2 | -x, -y, -z	{ -1 ‖ 3+1-1-1 | 1/2 1/2 1/2 }
-b+1/2, -c+1/2, a+1/2 | -x, -y, -z	{ -1 ‖ 3--11-1 | 1/2 1/2 1/2 }
c+1/2, -a+1/2, -b+1/2 | -x, -y, -z	{ -1 ‖ 3+-11-1 | 1/2 1/2 1/2 }
b+1/2, -c+1/2, -a+1/2 | -x, -y, -z	{ -1 ‖ 3--1-11 | 1/2 1/2 1/2 }
-c+1/2, a+1/2, -b+1/2 | -x, -y, -z	{ -1 ‖ 3+-1-11 | 1/2 1/2 1/2 }
-a, c, -b | -x, -y, -z	{ -1 ‖ -4+100 | 0 }
-a, -c, b | -x, -y, -z	{ -1 ‖ -4-100 | 0 }
-c, -b, a | -x, -y, -z	{ -1 ‖ -4+010 | 0 }
c, -b, -a | -x, -y, -z	{ -1 ‖ -4-010 | 0 }
b, -a, -c | -x, -y, -z	{ -1 ‖ -4+001 | 0 }
-b, a, -c | -x, -y, -z	{ -1 ‖ -4-001 | 0 }
-b, -a, c | -x, -y, -z	{ -1 ‖ m110 | 0 }
b, a, c | -x, -y, -z	{ -1 ‖ m1-10 | 0 }
a, -c, -b | -x, -y, -z	{ -1 ‖ m011 | 0 }
a, c, b | -x, -y, -z	{ -1 ‖ m01-1 | 0 }
-c, b, -a | -x, -y, -z	{ -1 ‖ m101 | 0 }
c, b, a | -x, -y, -z	{ -1 ‖ m-101 | 0 }
a, b, c | -x, y, z	{ m ‖ 1 | 0 }
a, -b, -c | -x, y, z	{ m ‖ 2100 | 0 }
-a, b, -c | -x, y, z	{ m ‖ 2010 | 0 }
-a, -b, c | -x, y, z	{ m ‖ 2001 | 0 }
c, a, b | -x, y, z	{ m ‖ 3+111 | 0 }
b, c, a | -x, y, z	{ m ‖ 3-111 | 0 }
-b, c, -a | -x, y, z	{ m ‖ 3-1-1-1 | 0 }
-c, -a, b | -x, y, z	{ m ‖ 3+1-1-1 | 0 }
-b, -c, a | -x, y, z	{ m ‖ 3--11-1 | 0 }
c, -a, -b | -x, y, z	{ m ‖ 3+-11-1 | 0 }
b, -c, -a | -x, y, z	{ m ‖ 3--1-11 | 0 }
-c, a, -b | -x, y, z	{ m ‖ 3+-1-11 | 0 }
-a+1/2, c+1/2, -b+1/2 | -x, y, z	{ m ‖ -4+100 | 1/2 1/2 1/2 }
-a+1/2, -c+1/2, b+1/2 | -x, y, z	{ m ‖ -4-100 | 1/2 1/2 1/2 }
-c+1/2, -b+1/2, a+1/2 | -x, y, z	{ m ‖ -4+010 | 1/2 1/2 1/2 }
c+1/2, -b+1/2, -a+1/2 | -x, y, z	{ m ‖ -4-010 | 1/2 1/2 1/2 }
b+1/2, -a+1/2, -c+1/2 | -x, y, z	{ m ‖ -4+001 | 1/2 1/2 1/2 }
-b+1/2, a+1/2, -c+1/2 | -x, y, z	{ m ‖ -4-001 | 1/2 1/2 1/2 }
-b+1/2, -a+1/2, c+1/2 | -x, y, z	{ m ‖ m110 | 1/2 1/2 1/2 }
b+1/2, a+1/2, c+1/2 | -x, y, z	{ m ‖ m1-10 | 1/2 1/2 1/2 }
a+1/2, -c+1/2, -b+1/2 | -x, y, z	{ m ‖ m011 | 1/2 1/2 1/2 }
a+1/2, c+1/2, b+1/2 | -x, y, z	{ m ‖ m01-1 | 1/2 1/2 1/2 }
-c+1/2, b+1/2, -a+1/2 | -x, y, z	{ m ‖ m101 | 1/2 1/2 1/2 }
c+1/2, b+1/2, a+1/2 | -x, y, z	{ m ‖ m-101 | 1/2 1/2 1/2 }
a, b+1/2, c+1/2 | -x, y, z	{ m ‖ 1 | 0 1/2 1/2 }
a, -b+1/2, -c+1/2 | -x, y, z	{ m ‖ 2100 | 0 1/2 1/2 }
-a, b+1/2, -c+1/2 | -x, y, z	{ m ‖ 2010 | 0 1/2 1/2 }
-a, -b+1/2, c+1/2 | -x, y, z	{ m ‖ 2001 | 0 1/2 1/2 }
c, a+1/2, b+1/2 | -x, y, z	{ m ‖ 3+111 | 0 1/2 1/2 }
b, c+1/2, a+1/2 | -x, y, z	{ m ‖ 3-111 | 0 1/2 1/2 }
-b, c+1/2, -a+1/2 | -x, y, z	{ m ‖ 3-1-1-1 | 0 1/2 1/2 }
-c, -a+1/2, b+1/2 | -x, y, z	{ m ‖ 3+1-1-1 | 0 1/2 1/2 }
-b, -c+1/2, a+1/2 | -x, y, z	{ m ‖ 3--11-1 | 0 1/2 1/2 }
c, -a+1/2, -b+1/2 | -x, y, z	{ m ‖ 3+-11-1 | 0 1/2 1/2 }
b, -c+1/2, -a+1/2 | -x, y, z	{ m ‖ 3--1-11 | 0 1/2 1/2 }
-c, a+1/2, -b+1/2 | -x, y, z	{ m ‖ 3+-1-11 | 0 1/2 1/2 }
-a+1/2, c, -b | -x, y, z	{ m ‖ -4+100 | 1/2 0 0 }
-a+1/2, -c, b | -x, y, z	{ m ‖ -4-100 | 1/2 0 0 }
-c+1/2, -b, a | -x, y, z	{ m ‖ -4+010 | 1/2 0 0 }
c+1/2, -b, -a | -x, y, z	{ m ‖ -4-010 | 1/2 0 0 }
b+1/2, -a, -c | -x, y, z	{ m ‖ -4+001 | 1/2 0 0 }
-b+1/2, a, -c | -x, y, z	{ m ‖ -4-001 | 1/2 0 0 }
-b+1/2, -a, c | -x, y, z	{ m ‖ m110 | 1/2 0 0 }
b+1/2, a, c | -x, y, z	{ m ‖ m1-10 | 1/2 0 0 }
a+1/2, -c, -b | -x, y, z	{ m ‖ m011 | 1/2 0 0 }
a+1/2, c, b | -x, y, z	{ m ‖ m01-1 | 1/2 0 0 }
-c+1/2, b, -a | -x, y, z	{ m ‖ m101 | 1/2 0 0 }
c+1/2, b, a | -x, y, z	{ m ‖ m-101 | 1/2 0 0 }
a+1/2, b, c+1/2 | -x, y, z	{ m ‖ 1 | 1/2 0 1/2 }
a+1/2, -b, -c+1/2 | -x, y, z	{ m ‖ 2100 | 1/2 0 1/2 }
-a+1/2, b, -c+1/2 | -x, y, z	{ m ‖ 2010 | 1/2 0 1/2 }
-a+1/2, -b, c+1/2 | -x, y, z	{ m ‖ 2001 | 1/2 0 1/2 }
c+1/2, a, b+1/2 | -x, y, z	{ m ‖ 3+111 | 1/2 0 1/2 }
b+1/2, c, a+1/2 | -x, y, z	{ m ‖ 3-111 | 1/2 0 1/2 }
-b+1/2, c, -a+1/2 | -x, y, z	{ m ‖ 3-1-1-1 | 1/2 0 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, -b+1/2 | -x, y, z	{ m ‖ 3+-11-1 | 1/2 0 1/2 }
b+1/2, -c, -a+1/2 | -x, y, z	{ m ‖ 3--1-11 | 1/2 0 1/2 }
-c+1/2, a, -b+1/2 | -x, y, z	{ m ‖ 3+-1-11 | 1/2 0 1/2 }
-a, c+1/2, -b | -x, y, z	{ m ‖ -4+100 | 0 1/2 0 }
-a, -c+1/2, b | -x, y, z	{ m ‖ -4-100 | 0 1/2 0 }
-c, -b+1/2, a | -x, y, z	{ m ‖ -4+010 | 0 1/2 0 }
c, -b+1/2, -a | -x, y, z	{ m ‖ -4-010 | 0 1/2 0 }
b, -a+1/2, -c | -x, y, z	{ m ‖ -4+001 | 0 1/2 0 }
-b, a+1/2, -c | -x, y, z	{ m ‖ -4-001 | 0 1/2 0 }
-b, -a+1/2, c | -x, y, z	{ m ‖ m110 | 0 1/2 0 }
b, a+1/2, c | -x, y, z	{ m ‖ m1-10 | 0 1/2 0 }
a, -c+1/2, -b | -x, y, z	{ m ‖ m011 | 0 1/2 0 }
a, c+1/2, b | -x, y, z	{ m ‖ m01-1 | 0 1/2 0 }
-c, b+1/2, -a | -x, y, z	{ m ‖ m101 | 0 1/2 0 }
c, b+1/2, a | -x, y, z	{ m ‖ m-101 | 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+1/2, -c | -x, y, z	{ m ‖ 2100 | 1/2 1/2 0 }
-a+1/2, b+1/2, -c | -x, y, z	{ m ‖ 2010 | 1/2 1/2 0 }
-a+1/2, -b+1/2, c | -x, y, z	{ m ‖ 2001 | 1/2 1/2 0 }
c+1/2, a+1/2, b | -x, y, z	{ m ‖ 3+111 | 1/2 1/2 0 }
b+1/2, c+1/2, a | -x, y, z	{ m ‖ 3-111 | 1/2 1/2 0 }
-b+1/2, c+1/2, -a | -x, y, z	{ m ‖ 3-1-1-1 | 1/2 1/2 0 }
-c+1/2, -a+1/2, b | -x, y, z	{ m ‖ 3+1-1-1 | 1/2 1/2 0 }
-b+1/2, -c+1/2, a | -x, y, z	{ m ‖ 3--11-1 | 1/2 1/2 0 }
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+1/2, a+1/2, -b | -x, y, z	{ m ‖ 3+-1-11 | 1/2 1/2 0 }
-a, c, -b+1/2 | -x, y, z	{ m ‖ -4+100 | 0 0 1/2 }
-a, -c, b+1/2 | -x, y, z	{ m ‖ -4-100 | 0 0 1/2 }
-c, -b, a+1/2 | -x, y, z	{ m ‖ -4+010 | 0 0 1/2 }
c, -b, -a+1/2 | -x, y, z	{ m ‖ -4-010 | 0 0 1/2 }
b, -a, -c+1/2 | -x, y, z	{ m ‖ -4+001 | 0 0 1/2 }
-b, a, -c+1/2 | -x, y, z	{ m ‖ -4-001 | 0 0 1/2 }
-b, -a, c+1/2 | -x, y, z	{ m ‖ m110 | 0 0 1/2 }
b, a, c+1/2 | -x, y, z	{ m ‖ m1-10 | 0 0 1/2 }
a, -c, -b+1/2 | -x, y, z	{ m ‖ m011 | 0 0 1/2 }
a, c, b+1/2 | -x, y, z	{ m ‖ m01-1 | 0 0 1/2 }
-c, b, -a+1/2 | -x, y, z	{ m ‖ m101 | 0 0 1/2 }
c, b, a+1/2 | -x, y, z	{ m ‖ m-101 | 0 0 1/2 }
a, b, c+1/2 | x, -y, -z	{ 2 ‖ 1 | 0 0 1/2 }
a, -b, -c+1/2 | x, -y, -z	{ 2 ‖ 2100 | 0 0 1/2 }
-a, b, -c+1/2 | x, -y, -z	{ 2 ‖ 2010 | 0 0 1/2 }
-a, -b, c+1/2 | x, -y, -z	{ 2 ‖ 2001 | 0 0 1/2 }
c, a, b+1/2 | x, -y, -z	{ 2 ‖ 3+111 | 0 0 1/2 }
b, c, a+1/2 | x, -y, -z	{ 2 ‖ 3-111 | 0 0 1/2 }
-b, c, -a+1/2 | x, -y, -z	{ 2 ‖ 3-1-1-1 | 0 0 1/2 }
-c, -a, b+1/2 | x, -y, -z	{ 2 ‖ 3+1-1-1 | 0 0 1/2 }
-b, -c, a+1/2 | x, -y, -z	{ 2 ‖ 3--11-1 | 0 0 1/2 }
c, -a, -b+1/2 | x, -y, -z	{ 2 ‖ 3+-11-1 | 0 0 1/2 }
b, -c, -a+1/2 | x, -y, -z	{ 2 ‖ 3--1-11 | 0 0 1/2 }
-c, a, -b+1/2 | x, -y, -z	{ 2 ‖ 3+-1-11 | 0 0 1/2 }
-a+1/2, c+1/2, -b | x, -y, -z	{ 2 ‖ -4+100 | 1/2 1/2 0 }
-a+1/2, -c+1/2, b | x, -y, -z	{ 2 ‖ -4-100 | 1/2 1/2 0 }
-c+1/2, -b+1/2, a | x, -y, -z	{ 2 ‖ -4+010 | 1/2 1/2 0 }
c+1/2, -b+1/2, -a | x, -y, -z	{ 2 ‖ -4-010 | 1/2 1/2 0 }
b+1/2, -a+1/2, -c | x, -y, -z	{ 2 ‖ -4+001 | 1/2 1/2 0 }
-b+1/2, a+1/2, -c | x, -y, -z	{ 2 ‖ -4-001 | 1/2 1/2 0 }
-b+1/2, -a+1/2, c | x, -y, -z	{ 2 ‖ m110 | 1/2 1/2 0 }
b+1/2, a+1/2, c | x, -y, -z	{ 2 ‖ m1-10 | 1/2 1/2 0 }
a+1/2, -c+1/2, -b | x, -y, -z	{ 2 ‖ m011 | 1/2 1/2 0 }
a+1/2, c+1/2, b | x, -y, -z	{ 2 ‖ m01-1 | 1/2 1/2 0 }
-c+1/2, b+1/2, -a | x, -y, -z	{ 2 ‖ m101 | 1/2 1/2 0 }
c+1/2, b+1/2, a | x, -y, -z	{ 2 ‖ m-101 | 1/2 1/2 0 }
a, b+1/2, c | x, -y, -z	{ 2 ‖ 1 | 0 1/2 0 }
a, -b+1/2, -c | x, -y, -z	{ 2 ‖ 2100 | 0 1/2 0 }
-a, b+1/2, -c | x, -y, -z	{ 2 ‖ 2010 | 0 1/2 0 }
-a, -b+1/2, c | x, -y, -z	{ 2 ‖ 2001 | 0 1/2 0 }
c, a+1/2, b | x, -y, -z	{ 2 ‖ 3+111 | 0 1/2 0 }
b, c+1/2, a | x, -y, -z	{ 2 ‖ 3-111 | 0 1/2 0 }
-b, c+1/2, -a | x, -y, -z	{ 2 ‖ 3-1-1-1 | 0 1/2 0 }
-c, -a+1/2, b | x, -y, -z	{ 2 ‖ 3+1-1-1 | 0 1/2 0 }
-b, -c+1/2, a | x, -y, -z	{ 2 ‖ 3--11-1 | 0 1/2 0 }
c, -a+1/2, -b | x, -y, -z	{ 2 ‖ 3+-11-1 | 0 1/2 0 }
b, -c+1/2, -a | x, -y, -z	{ 2 ‖ 3--1-11 | 0 1/2 0 }
-c, a+1/2, -b | x, -y, -z	{ 2 ‖ 3+-1-11 | 0 1/2 0 }
-a+1/2, c, -b+1/2 | x, -y, -z	{ 2 ‖ -4+100 | 1/2 0 1/2 }
-a+1/2, -c, b+1/2 | x, -y, -z	{ 2 ‖ -4-100 | 1/2 0 1/2 }
-c+1/2, -b, a+1/2 | x, -y, -z	{ 2 ‖ -4+010 | 1/2 0 1/2 }
c+1/2, -b, -a+1/2 | x, -y, -z	{ 2 ‖ -4-010 | 1/2 0 1/2 }
b+1/2, -a, -c+1/2 | x, -y, -z	{ 2 ‖ -4+001 | 1/2 0 1/2 }
-b+1/2, a, -c+1/2 | x, -y, -z	{ 2 ‖ -4-001 | 1/2 0 1/2 }
-b+1/2, -a, c+1/2 | x, -y, -z	{ 2 ‖ m110 | 1/2 0 1/2 }
b+1/2, a, c+1/2 | x, -y, -z	{ 2 ‖ m1-10 | 1/2 0 1/2 }
a+1/2, -c, -b+1/2 | x, -y, -z	{ 2 ‖ m011 | 1/2 0 1/2 }
a+1/2, c, b+1/2 | x, -y, -z	{ 2 ‖ m01-1 | 1/2 0 1/2 }
-c+1/2, b, -a+1/2 | x, -y, -z	{ 2 ‖ m101 | 1/2 0 1/2 }
c+1/2, b, a+1/2 | x, -y, -z	{ 2 ‖ m-101 | 1/2 0 1/2 }
a+1/2, b, c | x, -y, -z	{ 2 ‖ 1 | 1/2 0 0 }
a+1/2, -b, -c | x, -y, -z	{ 2 ‖ 2100 | 1/2 0 0 }
-a+1/2, b, -c | x, -y, -z	{ 2 ‖ 2010 | 1/2 0 0 }
-a+1/2, -b, c | x, -y, -z	{ 2 ‖ 2001 | 1/2 0 0 }
c+1/2, a, b | x, -y, -z	{ 2 ‖ 3+111 | 1/2 0 0 }
b+1/2, c, a | x, -y, -z	{ 2 ‖ 3-111 | 1/2 0 0 }
-b+1/2, c, -a | x, -y, -z	{ 2 ‖ 3-1-1-1 | 1/2 0 0 }
-c+1/2, -a, b | x, -y, -z	{ 2 ‖ 3+1-1-1 | 1/2 0 0 }
-b+1/2, -c, a | x, -y, -z	{ 2 ‖ 3--11-1 | 1/2 0 0 }
c+1/2, -a, -b | x, -y, -z	{ 2 ‖ 3+-11-1 | 1/2 0 0 }
b+1/2, -c, -a | x, -y, -z	{ 2 ‖ 3--1-11 | 1/2 0 0 }
-c+1/2, a, -b | x, -y, -z	{ 2 ‖ 3+-1-11 | 1/2 0 0 }
-a, c+1/2, -b+1/2 | x, -y, -z	{ 2 ‖ -4+100 | 0 1/2 1/2 }
-a, -c+1/2, b+1/2 | x, -y, -z	{ 2 ‖ -4-100 | 0 1/2 1/2 }
-c, -b+1/2, a+1/2 | x, -y, -z	{ 2 ‖ -4+010 | 0 1/2 1/2 }
c, -b+1/2, -a+1/2 | x, -y, -z	{ 2 ‖ -4-010 | 0 1/2 1/2 }
b, -a+1/2, -c+1/2 | x, -y, -z	{ 2 ‖ -4+001 | 0 1/2 1/2 }
-b, a+1/2, -c+1/2 | x, -y, -z	{ 2 ‖ -4-001 | 0 1/2 1/2 }
-b, -a+1/2, c+1/2 | x, -y, -z	{ 2 ‖ m110 | 0 1/2 1/2 }
b, a+1/2, c+1/2 | x, -y, -z	{ 2 ‖ m1-10 | 0 1/2 1/2 }
a, -c+1/2, -b+1/2 | x, -y, -z	{ 2 ‖ m011 | 0 1/2 1/2 }
a, c+1/2, b+1/2 | x, -y, -z	{ 2 ‖ m01-1 | 0 1/2 1/2 }
-c, b+1/2, -a+1/2 | x, -y, -z	{ 2 ‖ m101 | 0 1/2 1/2 }
c, b+1/2, a+1/2 | x, -y, -z	{ 2 ‖ m-101 | 0 1/2 1/2 }
a+1/2, b+1/2, c+1/2 | x, -y, -z	{ 2 ‖ 1 | 1/2 1/2 1/2 }
a+1/2, -b+1/2, -c+1/2 | x, -y, -z	{ 2 ‖ 2100 | 1/2 1/2 1/2 }
-a+1/2, b+1/2, -c+1/2 | x, -y, -z	{ 2 ‖ 2010 | 1/2 1/2 1/2 }
-a+1/2, -b+1/2, c+1/2 | x, -y, -z	{ 2 ‖ 2001 | 1/2 1/2 1/2 }
c+1/2, a+1/2, b+1/2 | x, -y, -z	{ 2 ‖ 3+111 | 1/2 1/2 1/2 }
b+1/2, c+1/2, a+1/2 | x, -y, -z	{ 2 ‖ 3-111 | 1/2 1/2 1/2 }
-b+1/2, c+1/2, -a+1/2 | x, -y, -z	{ 2 ‖ 3-1-1-1 | 1/2 1/2 1/2 }
-c+1/2, -a+1/2, b+1/2 | x, -y, -z	{ 2 ‖ 3+1-1-1 | 1/2 1/2 1/2 }
-b+1/2, -c+1/2, a+1/2 | x, -y, -z	{ 2 ‖ 3--11-1 | 1/2 1/2 1/2 }
c+1/2, -a+1/2, -b+1/2 | x, -y, -z	{ 2 ‖ 3+-11-1 | 1/2 1/2 1/2 }
b+1/2, -c+1/2, -a+1/2 | x, -y, -z	{ 2 ‖ 3--1-11 | 1/2 1/2 1/2 }
-c+1/2, a+1/2, -b+1/2 | x, -y, -z	{ 2 ‖ 3+-1-11 | 1/2 1/2 1/2 }
-a, c, -b | x, -y, -z	{ 2 ‖ -4+100 | 0 }
-a, -c, b | x, -y, -z	{ 2 ‖ -4-100 | 0 }
-c, -b, a | x, -y, -z	{ 2 ‖ -4+010 | 0 }
c, -b, -a | x, -y, -z	{ 2 ‖ -4-010 | 0 }
b, -a, -c | x, -y, -z	{ 2 ‖ -4+001 | 0 }
-b, a, -c | x, -y, -z	{ 2 ‖ -4-001 | 0 }
-b, -a, c | x, -y, -z	{ 2 ‖ m110 | 0 }
b, a, c | x, -y, -z	{ 2 ‖ m1-10 | 0 }
a, -c, -b | x, -y, -z	{ 2 ‖ m011 | 0 }
a, c, b | x, -y, -z	{ 2 ‖ m01-1 | 0 }
-c, b, -a | x, -y, -z	{ 2 ‖ m101 | 0 }
c, b, a | x, -y, -z	{ 2 ‖ m-101 | 0 }

Wyckoff Positions

WP	Site symmetry	Representative
8a	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,0,0 | 0,0,0)
8b	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/4,1/4,1/4 | 0,0,0)
24c	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}.{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(0,1/4,1/4 | 0,0,0)
24d	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}.{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(1/4,0,0 | 0,0,0)
32e	$.{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,a,a | 0,0,0)
48f	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}.{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,0,0 | 0,0,0)
48g	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}.{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,1/4,1/4 | 0,0,0)
96h	${\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{2}..{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,1/4,0 | 0,0,0)
96i	$..{\phantom{A}}_{\phantom{}}^{\phantom{-1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}-1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,a,c | 0,0,0)
192j	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }\mathrm{m}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }\mathrm{m}}\text{1}$	(a,b,c | 0,0,z)

Spin Brillouin Zone & k-little co-groups

Wavevector-k	Little co-group
Γ:(0,0,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }/\mathrm{mm}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }/\mathrm{mm}}\text{1}$
X:(0,1,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }/\mathrm{mm}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }/\mathrm{mm}}\text{1}$
L:(1/2,1/2,1/2)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }/\mathrm{mm}}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }/\mathrm{mm}}\text{1}$
W:(1/2,1,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
Δ:(0,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{-4}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
Λ:(u,u,u)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{3}{\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
Q:(1/2,v,1-v)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
Σ:(u,u,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
V:(u,1,0)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
A:(u,v,0)	${\phantom{A}}_{\phantom{}}^{\phantom{m}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}m}\text{2}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
C:(u,u,w)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{m}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$
GP:(u,v,w)	${\phantom{A}}_{\phantom{}}^{\phantom{1}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}1}\text{1}{\phantom{A}}_{\phantom{}}^{\phantom{\mathrm{\infty }2}}{\phantom{A}}_{\phantom{2}}^{\phantom{2}\mathrm{\infty }2}\text{1}$

Spin Brillouin Zone

Band Representations (Magnon)

192j

k-vector	A↑G(48)
Γ:(0,0,0)	${\Gamma }_1^S(2)\oplus {\Gamma }_2^S(2)\oplus 2{\Gamma }_3^S(4)\oplus 3{\Gamma }_4^S(6)\oplus 3{\Gamma }_5^S(6)$
X:(0,1,0)	$3X_1^S(2)\oplus 3X_2^S(2)\oplus 3X_3^S(2)\oplus 3X_4^S(2)\oplus 6X_5^S(4)$
L:(1/2,1/2,1/2)	$4L_1^S{L}_2^S(4)\oplus 4L_3^S{L}_3^S(8)$
W:(1/2,1,0)	$6W_1^S{W}_2^S(4)\oplus 6W_3^S{W}_4^S(4)$
Δ:(0,v,0)	$6{\Delta }_1^S(2)\oplus 6{\Delta }_2^S(2)\oplus 6{\Delta }_3^S{\Delta }_4^S(4)$
Λ:(u,u,u)	$4{\Lambda }_1^S(2)\oplus 4{\Lambda }_2^S(2)\oplus 8{\Lambda }_3^S(4)$
Q:(1/2,v,1-v)	$12Q_1^S{Q}_1^S(4)$
Σ:(u,u,0)	$12{\Sigma }_1^S(2)\oplus 12{\Sigma }_2^S(2)$
V:(u,1,0)	$12V_1^S(2)\oplus 12V_2^S(2)$
A:(u,v,0)	$24A_1^S(2)$
C:(u,u,w)	$12C_1^S(2)\oplus 12C_2^S(2)$
GP:(u,v,w)	$24G{P}_1^S(2)$