The continuously infinite group ∞1 is omitted.
| Coordinates | Seitz symbol |
|---|---|
| a, b, c | x, y, z | { 1 ‖ 1 | 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 } |
| 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+1/2, a+1/2, -c+1/2 | x, y, z | { 1 ‖ 2110 | 1/2 1/2 1/2 } |
| -b+1/2, -a+1/2, -c+1/2 | x, y, z | { 1 ‖ 21-10 | 1/2 1/2 1/2 } |
| -a+1/2, c+1/2, b+1/2 | x, y, z | { 1 ‖ 2011 | 1/2 1/2 1/2 } |
| -a+1/2, -c+1/2, -b+1/2 | x, y, z | { 1 ‖ 201-1 | 1/2 1/2 1/2 } |
| c+1/2, -b+1/2, a+1/2 | x, y, z | { 1 ‖ 2101 | 1/2 1/2 1/2 } |
| -c+1/2, -b+1/2, -a+1/2 | x, y, z | { 1 ‖ 2-101 | 1/2 1/2 1/2 } |
| 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+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 } |
| -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+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 } |
| -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 | { m ‖ 1 | 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 } |
| 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+1/2, a+1/2, -c+1/2 | -x, y, z | { m ‖ 2110 | 1/2 1/2 1/2 } |
| -b+1/2, -a+1/2, -c+1/2 | -x, y, z | { m ‖ 21-10 | 1/2 1/2 1/2 } |
| -a+1/2, c+1/2, b+1/2 | -x, y, z | { m ‖ 2011 | 1/2 1/2 1/2 } |
| -a+1/2, -c+1/2, -b+1/2 | -x, y, z | { m ‖ 201-1 | 1/2 1/2 1/2 } |
| c+1/2, -b+1/2, a+1/2 | -x, y, z | { m ‖ 2101 | 1/2 1/2 1/2 } |
| -c+1/2, -b+1/2, -a+1/2 | -x, y, z | { m ‖ 2-101 | 1/2 1/2 1/2 } |
| 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+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 } |
| -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+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 } |
| -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 } |
| WP | Site symmetry | Representative |
|---|---|---|
| 2a | $\ce{^{1}{m}}\ce{^{1}{-3}}.\ce{^{\infty m}{1}} $ | (0,0,0 |0,0,z) |
| 6b | $\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (0,1/2,1/2 |0,0,z) |
| 6c | $\ce{^{1}{-4}}\ce{^{1}{m}}.\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/4,0,1/2 |0,0,z) |
| 6d | $\ce{^{1}{-4}}\ce{^{1}{m}}.\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/4,1/2,0 |0,0,z) |
| 8e | $.\ce{^{1}{3}}\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/4,1/4,1/4 |0,0,z) |
| 12f | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (a,0,0 |0,0,z) |
| 12g | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (a,0,1/2 |0,0,z) |
| 12h | $\ce{^{1}{2}}\ce{^{1}{m}}\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (a,1/2,0 |0,0,z) |
| 16i | $.\ce{^{1}{3}}.\ce{^{\infty m}{1}} $ | (a,a,a |0,0,z) |
| 24j | $..\ce{^{1}{2}}\ce{^{\infty m}{1}} $ | (1/4,b,b+1/2 |0,0,z) |
| 24k | $\ce{^{1}{m}}..\ce{^{\infty m}{1}} $ | (0,b,c |0,0,z) |
| 48l | $\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}} $ |
| R:(1/2,1/2,1/2) | $\ce{^{1}{m}}\ce{^{1}{-3}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| M:(1/2,1/2,0) | $\ce{^{1}{4/}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| X:(0,1/2,0) | $\ce{^{1}{4/}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty m}{1}} $ |
| Δ:(0,v,0) | $\ce{^{1}{4/}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| T:(1/2,1/2,w) | $\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}} $ |
| S:(u,1/2,u) | $\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| Σ:(u,u,0) | $\ce{^{1}{m}}\ce{^{m}{m}}\ce{^{1}{m}}\ce{^{\infty}{1}} $ |
| Z:(u,1/2,0) | $\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}} $ |
| B:(u,1/2,w) | $\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 | Ag↑G(2) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S}(2) $ |
| M:(1/2,1/2,0) | $M_{5}^{S,+}(2) $ |
| X:(0,1/2,0) | $X_{1}^{S}(2) $ |
| Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1) $ |
| T:(1/2,1/2,w) | $T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1) $ |
| S:(u,1/2,u) | $S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1) $ |
| Z:(u,1/2,0) | $Z_{1}^{S}(1)⊕Z_{4}^{S}(1) $ |
| A:(u,v,0) | $2A_{1}^{S}(1) $ |
| B:(u,1/2,w) | $B_{1}^{S}(1)⊕B_{2}^{S}(1) $ |
| C:(u,u,w) | $C_{1}^{S}(1)⊕C_{2}^{S}(1) $ |
| GP:(u,v,w) | $2GP_{1}^{S}(1) $ |
| k-vector | Ag↑G(6) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕2Γ_{3}^{S,+}(2) $ |
| R:(1/2,1/2,1/2) | $R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,-}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1)⊕M_{5}^{S,+}(2) $ |
| X:(0,1/2,0) | $3X_{1}^{S}(2) $ |
| Δ:(0,v,0) | $3Δ_{1}^{S}(1)⊕3Δ_{2}^{S}(1) $ |
| T:(1/2,1/2,w) | $T_{1}^{S}(1)⊕T_{2}^{S}(1)⊕T_{3}^{S}(1)⊕T_{4}^{S}(1)⊕T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $3S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $3Σ_{1}^{S}(1)⊕3Σ_{2}^{S}(1) $ |
| Z:(u,1/2,0) | $3Z_{1}^{S}(1)⊕3Z_{4}^{S}(1) $ |
| A:(u,v,0) | $6A_{1}^{S}(1) $ |
| B:(u,1/2,w) | $3B_{1}^{S}(1)⊕3B_{2}^{S}(1) $ |
| C:(u,u,w) | $3C_{1}^{S}(1)⊕3C_{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_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,-}(1)⊕M_{4}^{S,-}(1)⊕M_{5}^{S,+}(2) $ |
| X:(0,1/2,0) | $2X_{1}^{S}(2)⊕X_{4}^{S}(2) $ |
| Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $T_{1}^{S}(1)⊕T_{2}^{S}(1)⊕T_{3}^{S}(1)⊕T_{4}^{S}(1)⊕T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $3S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $3Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $3Z_{1}^{S}(1)⊕Z_{2}^{S}(1)⊕2Z_{4}^{S}(1) $ |
| A:(u,v,0) | $5A_{1}^{S}(1)⊕A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $3B_{1}^{S}(1)⊕3B_{2}^{S}(1) $ |
| C:(u,u,w) | $3C_{1}^{S}(1)⊕3C_{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_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,-}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1)⊕M_{5}^{S,+}(2) $ |
| X:(0,1/2,0) | $2X_{1}^{S}(2)⊕X_{3}^{S}(2) $ |
| Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $T_{1}^{S}(1)⊕T_{2}^{S}(1)⊕T_{3}^{S}(1)⊕T_{4}^{S}(1)⊕T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $Λ_{1}^{S}(1)⊕Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $3S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $3Σ_{1}^{S}(1)⊕2Σ_{2}^{S}(1)⊕Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $2Z_{1}^{S}(1)⊕Z_{3}^{S}(1)⊕3Z_{4}^{S}(1) $ |
| A:(u,v,0) | $5A_{1}^{S}(1)⊕A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $3B_{1}^{S}(1)⊕3B_{2}^{S}(1) $ |
| C:(u,u,w) | $3C_{1}^{S}(1)⊕3C_{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_{1}^{S,-}(1)⊕Γ_{5}^{S,+}(3)⊕Γ_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S}(2)⊕R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1)⊕M_{5}^{S,+}(2)⊕M_{5}^{S,-}(2) $ |
| X:(0,1/2,0) | $X_{1}^{S}(2)⊕X_{2}^{S}(2)⊕X_{3}^{S}(2)⊕X_{4}^{S}(2) $ |
| Δ:(0,v,0) | $Δ_{1}^{S}(1)⊕Δ_{2}^{S}(1)⊕Δ_{3}^{S}(1)⊕Δ_{4}^{S}(1)⊕2Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $T_{1}^{S}(1)⊕T_{2}^{S}(1)⊕T_{3}^{S}(1)⊕T_{4}^{S}(1)⊕2T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕2Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $4S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $3Σ_{1}^{S}(1)⊕Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕3Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $2Z_{1}^{S}(1)⊕2Z_{2}^{S}(1)⊕2Z_{3}^{S}(1)⊕2Z_{4}^{S}(1) $ |
| A:(u,v,0) | $4A_{1}^{S}(1)⊕4A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $4B_{1}^{S}(1)⊕4B_{2}^{S}(1) $ |
| C:(u,u,w) | $4C_{1}^{S}(1)⊕4C_{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)⊕2Γ_{3}^{S,+}(2)⊕Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S}(2)⊕R_{2}^{S}R_{3}^{S}(4)⊕R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,-}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1)⊕3M_{5}^{S,+}(2)⊕M_{5}^{S,-}(2) $ |
| X:(0,1/2,0) | $4X_{1}^{S}(2)⊕X_{3}^{S}(2)⊕X_{4}^{S}(2) $ |
| Δ:(0,v,0) | $4Δ_{1}^{S}(1)⊕4Δ_{2}^{S}(1)⊕2Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $T_{1}^{S}(1)⊕T_{2}^{S}(1)⊕T_{3}^{S}(1)⊕T_{4}^{S}(1)⊕4T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕4Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $6S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $5Σ_{1}^{S}(1)⊕5Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $5Z_{1}^{S}(1)⊕Z_{2}^{S}(1)⊕Z_{3}^{S}(1)⊕5Z_{4}^{S}(1) $ |
| A:(u,v,0) | $10A_{1}^{S}(1)⊕2A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $6B_{1}^{S}(1)⊕6B_{2}^{S}(1) $ |
| C:(u,u,w) | $6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $ |
| GP:(u,v,w) | $12GP_{1}^{S}(1) $ |
| k-vector | A1↑G(12) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕2Γ_{3}^{S,+}(2)⊕Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $2R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,+}(1)⊕2M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕2M_{2}^{S,-}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,-}(1)⊕2M_{5}^{S,+}(2) $ |
| X:(0,1/2,0) | $4X_{1}^{S}(2)⊕2X_{4}^{S}(2) $ |
| Δ:(0,v,0) | $4Δ_{1}^{S}(1)⊕4Δ_{2}^{S}(1)⊕2Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $2T_{1}^{S}(1)⊕2T_{2}^{S}(1)⊕2T_{3}^{S}(1)⊕2T_{4}^{S}(1)⊕2T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕4Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $6S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $5Σ_{1}^{S}(1)⊕5Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $6Z_{1}^{S}(1)⊕2Z_{2}^{S}(1)⊕4Z_{4}^{S}(1) $ |
| A:(u,v,0) | $10A_{1}^{S}(1)⊕2A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $6B_{1}^{S}(1)⊕6B_{2}^{S}(1) $ |
| C:(u,u,w) | $6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $ |
| GP:(u,v,w) | $12GP_{1}^{S}(1) $ |
| k-vector | A1↑G(12) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{2}^{S,+}(1)⊕2Γ_{3}^{S,+}(2)⊕Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $2R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,-}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕2M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕2M_{4}^{S,-}(1)⊕2M_{5}^{S,+}(2) $ |
| X:(0,1/2,0) | $4X_{1}^{S}(2)⊕2X_{3}^{S}(2) $ |
| Δ:(0,v,0) | $4Δ_{1}^{S}(1)⊕4Δ_{2}^{S}(1)⊕2Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $2T_{1}^{S}(1)⊕2T_{2}^{S}(1)⊕2T_{3}^{S}(1)⊕2T_{4}^{S}(1)⊕2T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $2Λ_{1}^{S}(1)⊕2Λ_{2}^{S}(1)⊕4Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $6S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $5Σ_{1}^{S}(1)⊕5Σ_{2}^{S}(1)⊕Σ_{3}^{S}(1)⊕Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $4Z_{1}^{S}(1)⊕2Z_{3}^{S}(1)⊕6Z_{4}^{S}(1) $ |
| A:(u,v,0) | $10A_{1}^{S}(1)⊕2A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $6B_{1}^{S}(1)⊕6B_{2}^{S}(1) $ |
| C:(u,u,w) | $6C_{1}^{S}(1)⊕6C_{2}^{S}(1) $ |
| GP:(u,v,w) | $12GP_{1}^{S}(1) $ |
| k-vector | A1↑G(16) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{2}^{S,+}(1)⊕Γ_{2}^{S,-}(1)⊕Γ_{4}^{S,+}(3)⊕Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,+}(3)⊕Γ_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $2R_{1}^{S}(2)⊕2R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,+}(1)⊕M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕M_{4}^{S,-}(1)⊕2M_{5}^{S,+}(2)⊕2M_{5}^{S,-}(2) $ |
| X:(0,1/2,0) | $2X_{1}^{S}(2)⊕2X_{2}^{S}(2)⊕2X_{3}^{S}(2)⊕2X_{4}^{S}(2) $ |
| Δ:(0,v,0) | $2Δ_{1}^{S}(1)⊕2Δ_{2}^{S}(1)⊕2Δ_{3}^{S}(1)⊕2Δ_{4}^{S}(1)⊕4Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $2T_{1}^{S}(1)⊕2T_{2}^{S}(1)⊕2T_{3}^{S}(1)⊕2T_{4}^{S}(1)⊕4T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $4Λ_{1}^{S}(1)⊕4Λ_{2}^{S}(1)⊕4Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $8S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $4Σ_{1}^{S}(1)⊕4Σ_{2}^{S}(1)⊕4Σ_{3}^{S}(1)⊕4Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $4Z_{1}^{S}(1)⊕4Z_{2}^{S}(1)⊕4Z_{3}^{S}(1)⊕4Z_{4}^{S}(1) $ |
| A:(u,v,0) | $8A_{1}^{S}(1)⊕8A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $8B_{1}^{S}(1)⊕8B_{2}^{S}(1) $ |
| C:(u,u,w) | $8C_{1}^{S}(1)⊕8C_{2}^{S}(1) $ |
| GP:(u,v,w) | $16GP_{1}^{S}(1) $ |
| k-vector | A↑G(24) |
| Γ:(0,0,0) | $Γ_{1}^{S,+}(1)⊕Γ_{1}^{S,-}(1)⊕Γ_{3}^{S,+}(2)⊕Γ_{3}^{S,-}(2)⊕Γ_{4}^{S,+}(3)⊕Γ_{4}^{S,-}(3)⊕2Γ_{5}^{S,+}(3)⊕2Γ_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S}(2)⊕R_{2}^{S}R_{3}^{S}(4)⊕3R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $2M_{1}^{S,+}(1)⊕2M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕M_{3}^{S,-}(1)⊕2M_{4}^{S,+}(1)⊕2M_{4}^{S,-}(1)⊕3M_{5}^{S,+}(2)⊕3M_{5}^{S,-}(2) $ |
| X:(0,1/2,0) | $3X_{1}^{S}(2)⊕3X_{2}^{S}(2)⊕3X_{3}^{S}(2)⊕3X_{4}^{S}(2) $ |
| Δ:(0,v,0) | $3Δ_{1}^{S}(1)⊕3Δ_{2}^{S}(1)⊕3Δ_{3}^{S}(1)⊕3Δ_{4}^{S}(1)⊕6Δ_{5}^{S}(2) $ |
| T:(1/2,1/2,w) | $3T_{1}^{S}(1)⊕3T_{2}^{S}(1)⊕3T_{3}^{S}(1)⊕3T_{4}^{S}(1)⊕6T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $4Λ_{1}^{S}(1)⊕4Λ_{2}^{S}(1)⊕8Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $12S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $7Σ_{1}^{S}(1)⊕5Σ_{2}^{S}(1)⊕5Σ_{3}^{S}(1)⊕7Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $6Z_{1}^{S}(1)⊕6Z_{2}^{S}(1)⊕6Z_{3}^{S}(1)⊕6Z_{4}^{S}(1) $ |
| A:(u,v,0) | $12A_{1}^{S}(1)⊕12A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $12B_{1}^{S}(1)⊕12B_{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)⊕2Γ_{3}^{S,+}(2)⊕Γ_{4}^{S,+}(3)⊕2Γ_{4}^{S,-}(3)⊕Γ_{5}^{S,+}(3)⊕2Γ_{5}^{S,-}(3) $ |
| R:(1/2,1/2,1/2) | $R_{1}^{S}(2)⊕R_{2}^{S}R_{3}^{S}(4)⊕3R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $M_{1}^{S,+}(1)⊕2M_{1}^{S,-}(1)⊕M_{2}^{S,+}(1)⊕2M_{2}^{S,-}(1)⊕M_{3}^{S,+}(1)⊕2M_{3}^{S,-}(1)⊕M_{4}^{S,+}(1)⊕2M_{4}^{S,-}(1)⊕4M_{5}^{S,+}(2)⊕2M_{5}^{S,-}(2) $ |
| X:(0,1/2,0) | $5X_{1}^{S}(2)⊕X_{2}^{S}(2)⊕3X_{3}^{S}(2)⊕3X_{4}^{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) $ |
| T:(1/2,1/2,w) | $3T_{1}^{S}(1)⊕3T_{2}^{S}(1)⊕3T_{3}^{S}(1)⊕3T_{4}^{S}(1)⊕6T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $4Λ_{1}^{S}(1)⊕4Λ_{2}^{S}(1)⊕8Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $12S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $8Σ_{1}^{S}(1)⊕8Σ_{2}^{S}(1)⊕4Σ_{3}^{S}(1)⊕4Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $8Z_{1}^{S}(1)⊕4Z_{2}^{S}(1)⊕4Z_{3}^{S}(1)⊕8Z_{4}^{S}(1) $ |
| A:(u,v,0) | $16A_{1}^{S}(1)⊕8A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $12B_{1}^{S}(1)⊕12B_{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(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) $ |
| R:(1/2,1/2,1/2) | $2R_{1}^{S}(2)⊕2R_{2}^{S}R_{3}^{S}(4)⊕6R_{4}^{S}(6) $ |
| M:(1/2,1/2,0) | $3M_{1}^{S,+}(1)⊕3M_{1}^{S,-}(1)⊕3M_{2}^{S,+}(1)⊕3M_{2}^{S,-}(1)⊕3M_{3}^{S,+}(1)⊕3M_{3}^{S,-}(1)⊕3M_{4}^{S,+}(1)⊕3M_{4}^{S,-}(1)⊕6M_{5}^{S,+}(2)⊕6M_{5}^{S,-}(2) $ |
| X:(0,1/2,0) | $6X_{1}^{S}(2)⊕6X_{2}^{S}(2)⊕6X_{3}^{S}(2)⊕6X_{4}^{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) $ |
| T:(1/2,1/2,w) | $6T_{1}^{S}(1)⊕6T_{2}^{S}(1)⊕6T_{3}^{S}(1)⊕6T_{4}^{S}(1)⊕12T_{5}^{S}(2) $ |
| Λ:(u,u,u) | $8Λ_{1}^{S}(1)⊕8Λ_{2}^{S}(1)⊕16Λ_{3}^{S}(2) $ |
| S:(u,1/2,u) | $24S_{1}^{S}(2) $ |
| Σ:(u,u,0) | $12Σ_{1}^{S}(1)⊕12Σ_{2}^{S}(1)⊕12Σ_{3}^{S}(1)⊕12Σ_{4}^{S}(1) $ |
| Z:(u,1/2,0) | $12Z_{1}^{S}(1)⊕12Z_{2}^{S}(1)⊕12Z_{3}^{S}(1)⊕12Z_{4}^{S}(1) $ |
| A:(u,v,0) | $24A_{1}^{S}(1)⊕24A_{2}^{S}(1) $ |
| B:(u,1/2,w) | $24B_{1}^{S}(1)⊕24B_{2}^{S}(1) $ |
| C:(u,u,w) | $24C_{1}^{S}(1)⊕24C_{2}^{S}(1) $ |
| GP:(u,v,w) | $48GP_{1}^{S}(1) $ |