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## Point Group Tables of Cs(m)

 Cs(m) # 1 m functions A' Γ1 1 1 x,y,x2,y2,z2,xy,Jz A'' Γ2 1 -1 z,xz,yz,Jx,Jy

 Subgroup Order Index Cs(m) 2 1 C1(1) 1 2

[ Subduction tables ]

 Cs(m) A' A'' A' A' A'' A'' · A'

[ Note: the table is symmetric ]

 Cs(m) A' A'' [A' x A'] 1 · [A'' x A''] 1 ·

 Cs(m) A' A'' {A' x A'} · · {A'' x A''} · ·

 Cs(m) A' A'' V 2 1 [V2] 4 2 [V3] 6 4 [V4] 9 6 A 1 2 [A2] 4 2 [A3] 4 6 [A4] 9 6 [V2]xV 10 8 [[V2]2] 13 8 {V2} 1 2 {A2} 1 2 {[V2]2} 7 8

V ≡ the vector representation
A ≡ the axial representation

 IR A' A'' A' x x A'' x x

[ Note: x means allowed ]

 Raman A' A'' A' x x A'' x x

[ Note: x means allowed ]

 Irreps Dimensions Irreps of the point group L 2L+1 A' A'' 0 1 1 · 1 3 2 1 2 5 3 2 3 7 4 3 4 9 5 4 5 11 6 5 6 13 7 6 7 15 8 7 8 17 9 8 9 19 10 9 10 21 11 10

* C. J. Bradley and A. P. Cracknell (1972) The Mathematical Theory of Symmetry in Solids Clarendon Press - Oxford
* Simon L. Altmann and Peter Herzig (1994). Point-Group Theory Tables. Oxford Science Publications.

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