Spin Space Group Information

The continuously infinite group ^∞1 is omitted.

Coordinates	Seitz symbol
a, b, c \| x, y, z	{ 1 ‖ 1 \| 0 }
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 }
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 }
b, a, -c \| x, y, z	{ 1 ‖ 2₁₁₀ \| 0 }
-b, -a, -c \| x, y, z	{ 1 ‖ 2_1-10 \| 0 }
-a, c, b \| x, y, z	{ 1 ‖ 2₀₁₁ \| 0 }
-a, -c, -b \| x, y, z	{ 1 ‖ 2_01-1 \| 0 }
c, -b, a \| x, y, z	{ 1 ‖ 2₁₀₁ \| 0 }
-c, -b, -a \| x, y, z	{ 1 ‖ 2_-101 \| 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, -b, -c \| x, y, z	{ 1 ‖ -1 \| 0 }
-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 }
-a, b, c \| x, y, z	{ 1 ‖ m₁₀₀ \| 0 }
a, -b, c \| x, y, z	{ 1 ‖ m₀₁₀ \| 0 }
a, b, -c \| x, y, z	{ 1 ‖ m₀₀₁ \| 0 }
-b, -a, c \| x, y, z	{ 1 ‖ m₁₁₀ \| 0 }
b, a, c \| x, y, z	{ 1 ‖ m_1-10 \| 0 }
a, -c, -b \| x, y, z	{ 1 ‖ m₀₁₁ \| 0 }
a, c, b \| x, y, z	{ 1 ‖ m_01-1 \| 0 }
-c, b, -a \| x, y, z	{ 1 ‖ m₁₀₁ \| 0 }
c, b, a \| x, y, z	{ 1 ‖ m_-101 \| 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, b+1/2, c+1/2 \| x, y, z	{ 1 ‖ 1 \| 0 1/2 1/2 }
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 }
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 }
b, a+1/2, -c+1/2 \| x, y, z	{ 1 ‖ 2₁₁₀ \| 0 1/2 1/2 }
-b, -a+1/2, -c+1/2 \| x, y, z	{ 1 ‖ 2_1-10 \| 0 1/2 1/2 }
-a, c+1/2, b+1/2 \| x, y, z	{ 1 ‖ 2₀₁₁ \| 0 1/2 1/2 }
-a, -c+1/2, -b+1/2 \| x, y, z	{ 1 ‖ 2_01-1 \| 0 1/2 1/2 }
c, -b+1/2, a+1/2 \| x, y, z	{ 1 ‖ 2₁₀₁ \| 0 1/2 1/2 }
-c, -b+1/2, -a+1/2 \| x, y, z	{ 1 ‖ 2_-101 \| 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, -b+1/2, -c+1/2 \| x, y, z	{ 1 ‖ -1 \| 0 1/2 1/2 }
-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 }
-a, b+1/2, c+1/2 \| x, y, z	{ 1 ‖ m₁₀₀ \| 0 1/2 1/2 }
a, -b+1/2, c+1/2 \| x, y, z	{ 1 ‖ m₀₁₀ \| 0 1/2 1/2 }
a, b+1/2, -c+1/2 \| x, y, z	{ 1 ‖ m₀₀₁ \| 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 ‖ m_1-10 \| 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 ‖ m_01-1 \| 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 }
-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, b, c+1/2 \| x, y, z	{ 1 ‖ 1 \| 1/2 0 1/2 }
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 }
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 }
b+1/2, a, -c+1/2 \| x, y, z	{ 1 ‖ 2₁₁₀ \| 1/2 0 1/2 }
-b+1/2, -a, -c+1/2 \| x, y, z	{ 1 ‖ 2_1-10 \| 1/2 0 1/2 }
-a+1/2, c, b+1/2 \| x, y, z	{ 1 ‖ 2₀₁₁ \| 1/2 0 1/2 }
-a+1/2, -c, -b+1/2 \| x, y, z	{ 1 ‖ 2_01-1 \| 1/2 0 1/2 }
c+1/2, -b, a+1/2 \| x, y, z	{ 1 ‖ 2₁₀₁ \| 1/2 0 1/2 }
-c+1/2, -b, -a+1/2 \| x, y, z	{ 1 ‖ 2_-101 \| 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+1/2, -b, -c+1/2 \| x, y, z	{ 1 ‖ -1 \| 1/2 0 1/2 }
-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 }
-a+1/2, b, c+1/2 \| x, y, z	{ 1 ‖ m₁₀₀ \| 1/2 0 1/2 }
a+1/2, -b, c+1/2 \| x, y, z	{ 1 ‖ m₀₁₀ \| 1/2 0 1/2 }
a+1/2, b, -c+1/2 \| x, y, z	{ 1 ‖ m₀₀₁ \| 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 ‖ m_1-10 \| 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 ‖ m_01-1 \| 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 }
-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+1/2, b+1/2, c \| x, y, z	{ 1 ‖ 1 \| 1/2 1/2 0 }
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 }
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 }
b+1/2, a+1/2, -c \| x, y, z	{ 1 ‖ 2₁₁₀ \| 1/2 1/2 0 }
-b+1/2, -a+1/2, -c \| x, y, z	{ 1 ‖ 2_1-10 \| 1/2 1/2 0 }
-a+1/2, c+1/2, b \| x, y, z	{ 1 ‖ 2₀₁₁ \| 1/2 1/2 0 }
-a+1/2, -c+1/2, -b \| x, y, z	{ 1 ‖ 2_01-1 \| 1/2 1/2 0 }
c+1/2, -b+1/2, a \| x, y, z	{ 1 ‖ 2₁₀₁ \| 1/2 1/2 0 }
-c+1/2, -b+1/2, -a \| x, y, z	{ 1 ‖ 2_-101 \| 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+1/2, -b+1/2, -c \| x, y, z	{ 1 ‖ -1 \| 1/2 1/2 0 }
-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 }
-a+1/2, b+1/2, c \| x, y, z	{ 1 ‖ m₁₀₀ \| 1/2 1/2 0 }
a+1/2, -b+1/2, c \| x, y, z	{ 1 ‖ m₀₁₀ \| 1/2 1/2 0 }
a+1/2, b+1/2, -c \| x, y, z	{ 1 ‖ m₀₀₁ \| 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 ‖ m_1-10 \| 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 ‖ m_01-1 \| 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 }
-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, b, c \| -x, y, z	{ m ‖ 1 \| 0 }
a, -c, b \| -x, y, z	{ m ‖ 4⁺₁₀₀ \| 0 }
a, c, -b \| -x, y, z	{ m ‖ 4^-₁₀₀ \| 0 }
c, b, -a \| -x, y, z	{ m ‖ 4⁺₀₁₀ \| 0 }
-c, b, a \| -x, y, z	{ m ‖ 4^-₀₁₀ \| 0 }
-b, a, c \| -x, y, z	{ m ‖ 4⁺₀₀₁ \| 0 }
b, -a, c \| -x, y, z	{ m ‖ 4^-₀₀₁ \| 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 }
b, a, -c \| -x, y, z	{ m ‖ 2₁₁₀ \| 0 }
-b, -a, -c \| -x, y, z	{ m ‖ 2_1-10 \| 0 }
-a, c, b \| -x, y, z	{ m ‖ 2₀₁₁ \| 0 }
-a, -c, -b \| -x, y, z	{ m ‖ 2_01-1 \| 0 }
c, -b, a \| -x, y, z	{ m ‖ 2₁₀₁ \| 0 }
-c, -b, -a \| -x, y, z	{ m ‖ 2_-101 \| 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, -b, -c \| -x, y, z	{ m ‖ -1 \| 0 }
-a, c, -b \| -x, y, z	{ m ‖ -4⁺₁₀₀ \| 0 }
-a, -c, b \| -x, y, z	{ m ‖ -4^-₁₀₀ \| 0 }
-c, -b, a \| -x, y, z	{ m ‖ -4⁺₀₁₀ \| 0 }
c, -b, -a \| -x, y, z	{ m ‖ -4^-₀₁₀ \| 0 }
b, -a, -c \| -x, y, z	{ m ‖ -4⁺₀₀₁ \| 0 }
-b, a, -c \| -x, y, z	{ m ‖ -4^-₀₀₁ \| 0 }
-a, b, c \| -x, y, z	{ m ‖ m₁₀₀ \| 0 }
a, -b, c \| -x, y, z	{ m ‖ m₀₁₀ \| 0 }
a, b, -c \| -x, y, z	{ m ‖ m₀₀₁ \| 0 }
-b, -a, c \| -x, y, z	{ m ‖ m₁₁₀ \| 0 }
b, a, c \| -x, y, z	{ m ‖ m_1-10 \| 0 }
a, -c, -b \| -x, y, z	{ m ‖ m₀₁₁ \| 0 }
a, c, b \| -x, y, z	{ m ‖ m_01-1 \| 0 }
-c, b, -a \| -x, y, z	{ m ‖ m₁₀₁ \| 0 }
c, b, a \| -x, y, z	{ m ‖ m_-101 \| 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, b+1/2, c+1/2 \| -x, y, z	{ m ‖ 1 \| 0 1/2 1/2 }
a, -c+1/2, b+1/2 \| -x, y, z	{ m ‖ 4⁺₁₀₀ \| 0 1/2 1/2 }
a, c+1/2, -b+1/2 \| -x, y, z	{ m ‖ 4^-₁₀₀ \| 0 1/2 1/2 }
c, b+1/2, -a+1/2 \| -x, y, z	{ m ‖ 4⁺₀₁₀ \| 0 1/2 1/2 }
-c, b+1/2, a+1/2 \| -x, y, z	{ m ‖ 4^-₀₁₀ \| 0 1/2 1/2 }
-b, a+1/2, c+1/2 \| -x, y, z	{ m ‖ 4⁺₀₀₁ \| 0 1/2 1/2 }
b, -a+1/2, c+1/2 \| -x, y, z	{ m ‖ 4^-₀₀₁ \| 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 }
b, a+1/2, -c+1/2 \| -x, y, z	{ m ‖ 2₁₁₀ \| 0 1/2 1/2 }
-b, -a+1/2, -c+1/2 \| -x, y, z	{ m ‖ 2_1-10 \| 0 1/2 1/2 }
-a, c+1/2, b+1/2 \| -x, y, z	{ m ‖ 2₀₁₁ \| 0 1/2 1/2 }
-a, -c+1/2, -b+1/2 \| -x, y, z	{ m ‖ 2_01-1 \| 0 1/2 1/2 }
c, -b+1/2, a+1/2 \| -x, y, z	{ m ‖ 2₁₀₁ \| 0 1/2 1/2 }
-c, -b+1/2, -a+1/2 \| -x, y, z	{ m ‖ 2_-101 \| 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, -b+1/2, -c+1/2 \| -x, y, z	{ m ‖ -1 \| 0 1/2 1/2 }
-a, c+1/2, -b+1/2 \| -x, y, z	{ m ‖ -4⁺₁₀₀ \| 0 1/2 1/2 }
-a, -c+1/2, b+1/2 \| -x, y, z	{ m ‖ -4^-₁₀₀ \| 0 1/2 1/2 }
-c, -b+1/2, a+1/2 \| -x, y, z	{ m ‖ -4⁺₀₁₀ \| 0 1/2 1/2 }
c, -b+1/2, -a+1/2 \| -x, y, z	{ m ‖ -4^-₀₁₀ \| 0 1/2 1/2 }
b, -a+1/2, -c+1/2 \| -x, y, z	{ m ‖ -4⁺₀₀₁ \| 0 1/2 1/2 }
-b, a+1/2, -c+1/2 \| -x, y, z	{ m ‖ -4^-₀₀₁ \| 0 1/2 1/2 }
-a, b+1/2, c+1/2 \| -x, y, z	{ m ‖ m₁₀₀ \| 0 1/2 1/2 }
a, -b+1/2, c+1/2 \| -x, y, z	{ m ‖ m₀₁₀ \| 0 1/2 1/2 }
a, b+1/2, -c+1/2 \| -x, y, z	{ m ‖ m₀₀₁ \| 0 1/2 1/2 }
-b, -a+1/2, c+1/2 \| -x, y, z	{ m ‖ m₁₁₀ \| 0 1/2 1/2 }
b, a+1/2, c+1/2 \| -x, y, z	{ m ‖ m_1-10 \| 0 1/2 1/2 }
a, -c+1/2, -b+1/2 \| -x, y, z	{ m ‖ m₀₁₁ \| 0 1/2 1/2 }
a, c+1/2, b+1/2 \| -x, y, z	{ m ‖ m_01-1 \| 0 1/2 1/2 }
-c, b+1/2, -a+1/2 \| -x, y, z	{ m ‖ m₁₀₁ \| 0 1/2 1/2 }
c, b+1/2, a+1/2 \| -x, y, z	{ m ‖ m_-101 \| 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, b, c+1/2 \| -x, y, z	{ m ‖ 1 \| 1/2 0 1/2 }
a+1/2, -c, b+1/2 \| -x, y, z	{ m ‖ 4⁺₁₀₀ \| 1/2 0 1/2 }
a+1/2, c, -b+1/2 \| -x, y, z	{ m ‖ 4^-₁₀₀ \| 1/2 0 1/2 }
c+1/2, b, -a+1/2 \| -x, y, z	{ m ‖ 4⁺₀₁₀ \| 1/2 0 1/2 }
-c+1/2, b, a+1/2 \| -x, y, z	{ m ‖ 4^-₀₁₀ \| 1/2 0 1/2 }
-b+1/2, a, c+1/2 \| -x, y, z	{ m ‖ 4⁺₀₀₁ \| 1/2 0 1/2 }
b+1/2, -a, c+1/2 \| -x, y, z	{ m ‖ 4^-₀₀₁ \| 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 }
b+1/2, a, -c+1/2 \| -x, y, z	{ m ‖ 2₁₁₀ \| 1/2 0 1/2 }
-b+1/2, -a, -c+1/2 \| -x, y, z	{ m ‖ 2_1-10 \| 1/2 0 1/2 }
-a+1/2, c, b+1/2 \| -x, y, z	{ m ‖ 2₀₁₁ \| 1/2 0 1/2 }
-a+1/2, -c, -b+1/2 \| -x, y, z	{ m ‖ 2_01-1 \| 1/2 0 1/2 }
c+1/2, -b, a+1/2 \| -x, y, z	{ m ‖ 2₁₀₁ \| 1/2 0 1/2 }
-c+1/2, -b, -a+1/2 \| -x, y, z	{ m ‖ 2_-101 \| 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+1/2, -b, -c+1/2 \| -x, y, z	{ m ‖ -1 \| 1/2 0 1/2 }
-a+1/2, c, -b+1/2 \| -x, y, z	{ m ‖ -4⁺₁₀₀ \| 1/2 0 1/2 }
-a+1/2, -c, b+1/2 \| -x, y, z	{ m ‖ -4^-₁₀₀ \| 1/2 0 1/2 }
-c+1/2, -b, a+1/2 \| -x, y, z	{ m ‖ -4⁺₀₁₀ \| 1/2 0 1/2 }
c+1/2, -b, -a+1/2 \| -x, y, z	{ m ‖ -4^-₀₁₀ \| 1/2 0 1/2 }
b+1/2, -a, -c+1/2 \| -x, y, z	{ m ‖ -4⁺₀₀₁ \| 1/2 0 1/2 }
-b+1/2, a, -c+1/2 \| -x, y, z	{ m ‖ -4^-₀₀₁ \| 1/2 0 1/2 }
-a+1/2, b, c+1/2 \| -x, y, z	{ m ‖ m₁₀₀ \| 1/2 0 1/2 }
a+1/2, -b, c+1/2 \| -x, y, z	{ m ‖ m₀₁₀ \| 1/2 0 1/2 }
a+1/2, b, -c+1/2 \| -x, y, z	{ m ‖ m₀₀₁ \| 1/2 0 1/2 }
-b+1/2, -a, c+1/2 \| -x, y, z	{ m ‖ m₁₁₀ \| 1/2 0 1/2 }
b+1/2, a, c+1/2 \| -x, y, z	{ m ‖ m_1-10 \| 1/2 0 1/2 }
a+1/2, -c, -b+1/2 \| -x, y, z	{ m ‖ m₀₁₁ \| 1/2 0 1/2 }
a+1/2, c, b+1/2 \| -x, y, z	{ m ‖ m_01-1 \| 1/2 0 1/2 }
-c+1/2, b, -a+1/2 \| -x, y, z	{ m ‖ m₁₀₁ \| 1/2 0 1/2 }
c+1/2, b, a+1/2 \| -x, y, z	{ m ‖ m_-101 \| 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+1/2, b+1/2, c \| -x, y, z	{ m ‖ 1 \| 1/2 1/2 0 }
a+1/2, -c+1/2, b \| -x, y, z	{ m ‖ 4⁺₁₀₀ \| 1/2 1/2 0 }
a+1/2, c+1/2, -b \| -x, y, z	{ m ‖ 4^-₁₀₀ \| 1/2 1/2 0 }
c+1/2, b+1/2, -a \| -x, y, z	{ m ‖ 4⁺₀₁₀ \| 1/2 1/2 0 }
-c+1/2, b+1/2, a \| -x, y, z	{ m ‖ 4^-₀₁₀ \| 1/2 1/2 0 }
-b+1/2, a+1/2, c \| -x, y, z	{ m ‖ 4⁺₀₀₁ \| 1/2 1/2 0 }
b+1/2, -a+1/2, c \| -x, y, z	{ m ‖ 4^-₀₀₁ \| 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 }
b+1/2, a+1/2, -c \| -x, y, z	{ m ‖ 2₁₁₀ \| 1/2 1/2 0 }
-b+1/2, -a+1/2, -c \| -x, y, z	{ m ‖ 2_1-10 \| 1/2 1/2 0 }
-a+1/2, c+1/2, b \| -x, y, z	{ m ‖ 2₀₁₁ \| 1/2 1/2 0 }
-a+1/2, -c+1/2, -b \| -x, y, z	{ m ‖ 2_01-1 \| 1/2 1/2 0 }
c+1/2, -b+1/2, a \| -x, y, z	{ m ‖ 2₁₀₁ \| 1/2 1/2 0 }
-c+1/2, -b+1/2, -a \| -x, y, z	{ m ‖ 2_-101 \| 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+1/2, -b+1/2, -c \| -x, y, z	{ m ‖ -1 \| 1/2 1/2 0 }
-a+1/2, c+1/2, -b \| -x, y, z	{ m ‖ -4⁺₁₀₀ \| 1/2 1/2 0 }
-a+1/2, -c+1/2, b \| -x, y, z	{ m ‖ -4^-₁₀₀ \| 1/2 1/2 0 }
-c+1/2, -b+1/2, a \| -x, y, z	{ m ‖ -4⁺₀₁₀ \| 1/2 1/2 0 }
c+1/2, -b+1/2, -a \| -x, y, z	{ m ‖ -4^-₀₁₀ \| 1/2 1/2 0 }
b+1/2, -a+1/2, -c \| -x, y, z	{ m ‖ -4⁺₀₀₁ \| 1/2 1/2 0 }
-b+1/2, a+1/2, -c \| -x, y, z	{ m ‖ -4^-₀₀₁ \| 1/2 1/2 0 }
-a+1/2, b+1/2, c \| -x, y, z	{ m ‖ m₁₀₀ \| 1/2 1/2 0 }
a+1/2, -b+1/2, c \| -x, y, z	{ m ‖ m₀₁₀ \| 1/2 1/2 0 }
a+1/2, b+1/2, -c \| -x, y, z	{ m ‖ m₀₀₁ \| 1/2 1/2 0 }
-b+1/2, -a+1/2, c \| -x, y, z	{ m ‖ m₁₁₀ \| 1/2 1/2 0 }
b+1/2, a+1/2, c \| -x, y, z	{ m ‖ m_1-10 \| 1/2 1/2 0 }
a+1/2, -c+1/2, -b \| -x, y, z	{ m ‖ m₀₁₁ \| 1/2 1/2 0 }
a+1/2, c+1/2, b \| -x, y, z	{ m ‖ m_01-1 \| 1/2 1/2 0 }
-c+1/2, b+1/2, -a \| -x, y, z	{ m ‖ m₁₀₁ \| 1/2 1/2 0 }
c+1/2, b+1/2, a \| -x, y, z	{ m ‖ m_-101 \| 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 }

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

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

Spin Brillouin Zone

k-vector	A↑G(48)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕2Γ_{3}^{S,+}(2)⊕2Γ_{3}^{S,-}(2)⊕3Γ_{4}^{S,+}(3)⊕3Γ_{4}^{S,-}(3)⊕3Γ_{5}^{S,+}(3)⊕3Γ_{5}^{S,-}(3) $
X:(0,1,0)	$3X_{1}^{S,+}(1)⊕3X_{1}^{S,-}(1)⊕3X_{2}^{S,+}(1)⊕3X_{2}^{S,-}(1)⊕3X_{3}^{S,+}(1)⊕3X_{3}^{S,-}(1)⊕3X_{4}^{S,+}(1)⊕3X_{4}^{S,-}(1)⊕6X_{5}^{S,+}(2)⊕6X_{5}^{S,-}(2) $
L:(1/2,1/2,1/2)	$4L_{1}^{S,+}(1)⊕4L_{1}^{S,-}(1)⊕4L_{2}^{S,+}(1)⊕4L_{2}^{S,-}(1)⊕8L_{3}^{S,+}(2)⊕8L_{3}^{S,-}(2) $
W:(1/2,1,0)	$6W_{1}^{S}(1)⊕6W_{2}^{S}(1)⊕6W_{3}^{S}(1)⊕6W_{4}^{S}(1)⊕12W_{5}^{S}(2) $
Δ:(0,v,0)	$6Δ_{1}^{S}(1)⊕6Δ_{2}^{S}(1)⊕6Δ_{3}^{S}(1)⊕6Δ_{4}^{S}(1)⊕12Δ_{5}^{S}(2) $
Λ:(u,u,u)	$8Λ_{1}^{S}(1)⊕8Λ_{2}^{S}(1)⊕16Λ_{3}^{S}(2) $
Q:(1/2,v,1-v)	$24Q_{1}^{S}(1)⊕24Q_{2}^{S}(1) $
Σ:(u,u,0)	$12Σ_{1}^{S}(1)⊕12Σ_{2}^{S}(1)⊕12Σ_{3}^{S}(1)⊕12Σ_{4}^{S}(1) $
V:(u,1,0)	$12V_{1}^{S}(1)⊕12V_{2}^{S}(1)⊕12V_{3}^{S}(1)⊕12V_{4}^{S}(1) $
A:(u,v,0)	$24A_{1}^{S}(1)⊕24A_{2}^{S}(1) $
C:(u,u,w)	$24C_{1}^{S}(1)⊕24C_{2}^{S}(1) $
GP:(u,v,w)	$48GP_{1}^{S}(1) $

k-vector	A'↑G(24)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕2Γ_{3}^{S,+}(2)⊕Γ_{4}^{S,+}(3)⊕2Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,+}(3)⊕2Γ_{5}^{S,-}(3) $
X:(0,1,0)	$3X_{1}^{S,+}(1)⊕3X_{2}^{S,+}(1)⊕X_{3}^{S,+}(1)⊕2X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1)⊕2X_{4}^{S,-}(1)⊕2X_{5}^{S,+}(2)⊕4X_{5}^{S,-}(2) $
L:(1/2,1/2,1/2)	$2L_{1}^{S,+}(1)⊕2L_{1}^{S,-}(1)⊕2L_{2}^{S,+}(1)⊕2L_{2}^{S,-}(1)⊕4L_{3}^{S,+}(2)⊕4L_{3}^{S,-}(2) $
W:(1/2,1,0)	$5W_{1}^{S}(1)⊕5W_{2}^{S}(1)⊕W_{3}^{S}(1)⊕W_{4}^{S}(1)⊕6W_{5}^{S}(2) $
Δ:(0,v,0)	$5Δ_{1}^{S}(1)⊕5Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕6Δ_{5}^{S}(2) $
Λ:(u,u,u)	$4Λ_{1}^{S}(1)⊕4Λ_{2}^{S}(1)⊕8Λ_{3}^{S}(2) $
Q:(1/2,v,1-v)	$12Q_{1}^{S}(1)⊕12Q_{2}^{S}(1) $
Σ:(u,u,0)	$8Σ_{1}^{S}(1)⊕8Σ_{2}^{S}(1)⊕4Σ_{3}^{S}(1)⊕4Σ_{4}^{S}(1) $
V:(u,1,0)	$10V_{1}^{S}(1)⊕2V_{2}^{S}(1)⊕6V_{3}^{S}(1)⊕6V_{4}^{S}(1) $
A:(u,v,0)	$16A_{1}^{S}(1)⊕8A_{2}^{S}(1) $
C:(u,u,w)	$12C_{1}^{S}(1)⊕12C_{2}^{S}(1) $
GP:(u,v,w)	$24GP_{1}^{S}(1) $

k-vector	A'↑G(24)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(2)⊕Γ_{3}^{S,-}(2)⊕Γ_{4}^{S,+}(3)⊕2Γ_{4}^{S,-}(3)⊕2Γ_{5}^{S,+}(3)⊕Γ_{5}^{S,-}(3) $
X:(0,1,0)	$2X_{1}^{S,+}(1)⊕X_{1}^{S,-}(1)⊕X_{2}^{S,+}(1)⊕2X_{2}^{S,-}(1)⊕X_{3}^{S,+}(1)⊕2X_{3}^{S,-}(1)⊕2X_{4}^{S,+}(1)⊕X_{4}^{S,-}(1)⊕3X_{5}^{S,+}(2)⊕3X_{5}^{S,-}(2) $
L:(1/2,1/2,1/2)	$3L_{1}^{S,+}(1)⊕L_{1}^{S,-}(1)⊕L_{2}^{S,+}(1)⊕3L_{2}^{S,-}(1)⊕4L_{3}^{S,+}(2)⊕4L_{3}^{S,-}(2) $
W:(1/2,1,0)	$3W_{1}^{S}(1)⊕3W_{2}^{S}(1)⊕3W_{3}^{S}(1)⊕3W_{4}^{S}(1)⊕6W_{5}^{S}(2) $
Δ:(0,v,0)	$4Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕4Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1)⊕6Δ_{5}^{S}(2) $
Λ:(u,u,u)	$6Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕8Λ_{3}^{S}(2) $
Q:(1/2,v,1-v)	$12Q_{1}^{S}(1)⊕12Q_{2}^{S}(1) $
Σ:(u,u,0)	$7Σ_{1}^{S}(1)⊕5Σ_{2}^{S}(1)⊕7Σ_{3}^{S}(1)⊕5Σ_{4}^{S}(1) $
V:(u,1,0)	$6V_{1}^{S}(1)⊕6V_{2}^{S}(1)⊕6V_{3}^{S}(1)⊕6V_{4}^{S}(1) $
A:(u,v,0)	$12A_{1}^{S}(1)⊕12A_{2}^{S}(1) $
C:(u,u,w)	$14C_{1}^{S}(1)⊕10C_{2}^{S}(1) $
GP:(u,v,w)	$24GP_{1}^{S}(1) $

k-vector	Ag↑G(6)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,+}(2)⊕Γ_{5}^{S,+}(3) $
X:(0,1,0)	$X_{1}^{S,+}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1)⊕X_{4}^{S,-}(1)⊕X_{5}^{S,-}(2) $
L:(1/2,1/2,1/2)	$L_{1}^{S,+}(1)⊕L_{2}^{S,-}(1)⊕L_{3}^{S,+}(2)⊕L_{3}^{S,-}(2) $
W:(1/2,1,0)	$W_{1}^{S}(1)⊕W_{2}^{S}(1)⊕2W_{5}^{S}(2) $
Δ:(0,v,0)	$2Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{5}^{S}(2) $
Λ:(u,u,u)	$2Λ_{1}^{S}(1)⊕2Λ_{3}^{S}(2) $
Q:(1/2,v,1-v)	$3Q_{1}^{S}(1)⊕3Q_{2}^{S}(1) $
Σ:(u,u,0)	$3Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $
V:(u,1,0)	$2V_{1}^{S}(1)⊕2V_{3}^{S}(1)⊕2V_{4}^{S}(1) $
A:(u,v,0)	$4A_{1}^{S}(1)⊕2A_{2}^{S}(1) $
C:(u,u,w)	$4C_{1}^{S}(1)⊕2C_{2}^{S}(1) $
GP:(u,v,w)	$6GP_{1}^{S}(1) $

k-vector	A1↑G(6)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{3}^{S,+}(2)⊕Γ_{4}^{S,-}(3) $
X:(0,1,0)	$2X_{1}^{S,+}(1)⊕X_{2}^{S,+}(1)⊕X_{3}^{S,-}(1)⊕X_{5}^{S,-}(2) $
L:(1/2,1/2,1/2)	$L_{1}^{S,+}(1)⊕L_{2}^{S,-}(1)⊕L_{3}^{S,+}(2)⊕L_{3}^{S,-}(2) $
W:(1/2,1,0)	$2W_{1}^{S}(1)⊕2W_{2}^{S}(1)⊕W_{5}^{S}(2) $
Δ:(0,v,0)	$3Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{5}^{S}(2) $
Λ:(u,u,u)	$2Λ_{1}^{S}(1)⊕2Λ_{3}^{S}(2) $
Q:(1/2,v,1-v)	$3Q_{1}^{S}(1)⊕3Q_{2}^{S}(1) $
Σ:(u,u,0)	$3Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1) $
V:(u,1,0)	$4V_{1}^{S}(1)⊕V_{3}^{S}(1)⊕V_{4}^{S}(1) $
A:(u,v,0)	$5A_{1}^{S}(1)⊕A_{2}^{S}(1) $
C:(u,u,w)	$4C_{1}^{S}(1)⊕2C_{2}^{S}(1) $
GP:(u,v,w)	$6GP_{1}^{S}(1) $

k-vector	A1↑G(8)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,+}(3) $
X:(0,1,0)	$X_{1}^{S,+}(1)⊕X_{2}^{S,-}(1)⊕X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1)⊕X_{5}^{S,+}(2)⊕X_{5}^{S,-}(2) $
L:(1/2,1/2,1/2)	$2L_{1}^{S,+}(1)⊕2L_{2}^{S,-}(1)⊕L_{3}^{S,+}(2)⊕L_{3}^{S,-}(2) $
W:(1/2,1,0)	$W_{1}^{S}(1)⊕W_{2}^{S}(1)⊕W_{3}^{S}(1)⊕W_{4}^{S}(1)⊕2W_{5}^{S}(2) $
Δ:(0,v,0)	$2Δ_{1}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{5}^{S}(2) $
Λ:(u,u,u)	$4Λ_{1}^{S}(1)⊕2Λ_{3}^{S}(2) $
Q:(1/2,v,1-v)	$4Q_{1}^{S}(1)⊕4Q_{2}^{S}(1) $
Σ:(u,u,0)	$3Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕3Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $
V:(u,1,0)	$2V_{1}^{S}(1)⊕2V_{2}^{S}(1)⊕2V_{3}^{S}(1)⊕2V_{4}^{S}(1) $
A:(u,v,0)	$4A_{1}^{S}(1)⊕4A_{2}^{S}(1) $
C:(u,u,w)	$6C_{1}^{S}(1)⊕2C_{2}^{S}(1) $
GP:(u,v,w)	$8GP_{1}^{S}(1) $

k-vector	A1↑G(12)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{3}^{S,+}(2)⊕Γ_{3}^{S,-}(2)⊕Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,+}(3) $
X:(0,1,0)	$X_{1}^{S,+}(1)⊕X_{2}^{S,-}(1)⊕X_{3}^{S,+}(1)⊕2X_{3}^{S,-}(1)⊕2X_{4}^{S,+}(1)⊕X_{4}^{S,-}(1)⊕X_{5}^{S,+}(2)⊕X_{5}^{S,-}(2) $
L:(1/2,1/2,1/2)	$2L_{1}^{S,+}(1)⊕2L_{2}^{S,-}(1)⊕2L_{3}^{S,+}(2)⊕2L_{3}^{S,-}(2) $
W:(1/2,1,0)	$W_{1}^{S}(1)⊕W_{2}^{S}(1)⊕W_{3}^{S}(1)⊕W_{4}^{S}(1)⊕4W_{5}^{S}(2) $
Δ:(0,v,0)	$3Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕3Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(2) $
Λ:(u,u,u)	$4Λ_{1}^{S}(1)⊕4Λ_{3}^{S}(2) $
Q:(1/2,v,1-v)	$6Q_{1}^{S}(1)⊕6Q_{2}^{S}(1) $
Σ:(u,u,0)	$4Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕4Σ_{3}^{S}(1)⊕2Σ_{4}^{S}(1) $
V:(u,1,0)	$2V_{1}^{S}(1)⊕2V_{2}^{S}(1)⊕4V_{3}^{S}(1)⊕4V_{4}^{S}(1) $
A:(u,v,0)	$6A_{1}^{S}(1)⊕6A_{2}^{S}(1) $
C:(u,u,w)	$8C_{1}^{S}(1)⊕4C_{2}^{S}(1) $
GP:(u,v,w)	$12GP_{1}^{S}(1) $

k-vector	A1g↑G(1)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1) $
X:(0,1,0)	$X_{1}^{S,+}(1) $
L:(1/2,1/2,1/2)	$L_{1}^{S,+}(1) $
W:(1/2,1,0)	$W_{1}^{S}(1) $
Δ:(0,v,0)	$Δ_{1}^{S}(1) $
Λ:(u,u,u)	$Λ_{1}^{S}(1) $
Q:(1/2,v,1-v)	$Q_{1}^{S}(1) $
Σ:(u,u,0)	$Σ_{1}^{S}(1) $
V:(u,1,0)	$V_{1}^{S}(1) $
A:(u,v,0)	$A_{1}^{S}(1) $
C:(u,u,w)	$C_{1}^{S}(1) $
GP:(u,v,w)	$GP_{1}^{S}(1) $

k-vector	A1↑G(2)
Γ:(0,0,0)	$Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,-}(1) $
X:(0,1,0)	$X_{3}^{S,-}(1)⊕X_{4}^{S,+}(1) $
L:(1/2,1/2,1/2)	$L_{1}^{S,+}(1)⊕L_{2}^{S,-}(1) $
W:(1/2,1,0)	$W_{5}^{S}(2) $
Δ:(0,v,0)	$Δ_{1}^{S}(1)⊕Δ_{3}^{S}(1) $
Λ:(u,u,u)	$2Λ_{1}^{S}(1) $
Q:(1/2,v,1-v)	$Q_{1}^{S}(1)⊕Q_{2}^{S}(1) $
Σ:(u,u,0)	$Σ_{1}^{S}(1)⊕Σ_{3}^{S}(1) $
V:(u,1,0)	$V_{3}^{S}(1)⊕V_{4}^{S}(1) $
A:(u,v,0)	$A_{1}^{S}(1)⊕A_{2}^{S}(1) $
C:(u,u,w)	$2C_{1}^{S}(1) $
GP:(u,v,w)	$2GP_{1}^{S}(1) $

Information of spin space group $F\ce{^{1}{m}}\ce{^{1}{\text{-}3}}\ce{^{1}{m}}\ce{^{\infty m}{1}}$ ( nSSG:225.225.1.1 )