Point Group C28h

ε=exp(2πi/28)
C_28h	E	C₂₈	C₁₄	(C₂₈)³	C₇	(C₂₈)⁵	(C₁₄)³	C₄	(C₇)²	(C₂₈)⁹	(C₁₄)⁵	(C₂₈)¹¹	(C₇)³	(C₂₈)¹³	C₂	(C₂₈)¹⁵	(C₇)⁴	(C₂₈)¹⁷	(C₁₄)⁹	(C₂₈)¹⁹	(C₇)⁵	(C₄)³	(C₁₄)¹¹	(C₂₈)²³	(C₇)⁶	(C₂₈)²⁵	(C₁₄)¹³	(C₂₈)²⁷	i	(S₂₈)¹⁵	(S₇)¹¹	(S₂₈)¹⁷	(S₁₄)⁹	(S₂₈)¹⁹	(S₇)⁵	(S₄)³	(S₁₄)¹¹	(S₂₈)²³	(S₇)¹³	(S₂₈)²⁵	(S₁₄)¹³	(S₂₈)²⁷	σ_h	S₂₈	S₁₄	(S₂₈)³	S₇	(S₂₈)⁵	(S₁₄)³	S₄	(S₇)⁹	(S₂₈)⁹	(S₁₄)⁵	(S₂₈)¹¹	(S₇)³	(S₂₈)¹³
A_g	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
B_g	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1
E_1g*	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*
E_2g*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*
E_3g*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^2* -ε^2*	-ε^* -ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	ε^* ε^*	ε^2* ε^2*	ε^5* ε^5*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^5* ε^5*	ε^2* ε^2*	ε^* ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	-ε^* -ε^*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^2* -ε^2*	-ε^* -ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	ε^* ε^*	ε^2* ε^2*	ε^5* ε^5*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^5* ε^5*	ε^2* ε^2*	ε^* ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	-ε^* -ε^*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^6* ε^6*	ε^3* ε^3*
E_4g*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*
E_5g*	1 1	ε^5* ε^5*	-ε^4* -ε^4*	-ε^* -ε^*	-ε^6* -ε^6*	ε^3* ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	-ε^3* -ε^3*	ε^6* ε^6*	ε^* ε^*	ε^4* ε^4*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^4* ε^4*	ε^* ε^*	ε^6* ε^6*	-ε^3* -ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	ε^3* ε^3*	-ε^6* -ε^6*	-ε^* -ε^*	-ε^4* -ε^4*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^4* -ε^4*	-ε^* -ε^*	-ε^6* -ε^6*	ε^3* ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	-ε^3* -ε^3*	ε^6* ε^6*	ε^* ε^*	ε^4* ε^4*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^4* ε^4*	ε^* ε^*	ε^6* ε^6*	-ε^3* -ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	ε^3* ε^3*	-ε^6* -ε^6*	-ε^* -ε^*	-ε^4* -ε^4*	ε^5* ε^5*
E_6g*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*
E_7g*	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i
E_8g*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*
E_9g*	1 1	-ε^5* -ε^5*	-ε^4* -ε^4*	ε^* ε^*	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	ε^3* ε^3*	ε^6* ε^6*	-ε^* -ε^*	ε^4* ε^4*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^4* ε^4*	-ε^* -ε^*	ε^6* ε^6*	ε^3* ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^* ε^*	-ε^4* -ε^4*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^4* -ε^4*	ε^* ε^*	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	ε^3* ε^3*	ε^6* ε^6*	-ε^* -ε^*	ε^4* ε^4*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^4* ε^4*	-ε^* -ε^*	ε^6* ε^6*	ε^3* ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^* ε^*	-ε^4* -ε^4*	-ε^5* -ε^5*
E_10g*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*
E_11g*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^5* ε^5*	-ε^2* -ε^2*	ε^* ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	-ε^* -ε^*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^2* ε^2*	-ε^* -ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	ε^* ε^*	-ε^2* -ε^2*	ε^5* ε^5*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^5* ε^5*	-ε^2* -ε^2*	ε^* ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	-ε^* -ε^*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^2* ε^2*	-ε^* -ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	ε^* ε^*	-ε^2* -ε^2*	ε^5* ε^5*	ε^6* ε^6*	-ε^3* -ε^3*
E_12g*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*
E_13g*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	ε^5* ε^5*	-ε^4* -ε^4*	ε^3* ε^3*	-ε^2* -ε^2*	ε^* ε^*	-1 -1	ε^* ε^*	-ε^2* -ε^2*	ε^3* ε^3*	-ε^4* -ε^4*	ε^5* ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	ε^5* ε^5*	-ε^4* -ε^4*	ε^3* ε^3*	-ε^2* -ε^2*	ε^* ε^*	-1 -1	ε^* ε^*	-ε^2* -ε^2*	ε^3* ε^3*	-ε^4* -ε^4*	ε^5* ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*
A_u	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
B_u	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1	-1	1
E_1u*	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*	-1 -1	-ε^* -ε^*	-ε^2* -ε^2*	-ε^3* -ε^3*	-ε^4* -ε^4*	-ε^5* -ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	ε^5* ε^5*	ε^4* ε^4*	ε^3* ε^3*	ε^2* ε^2*	ε^* ε^*	1 1	ε^* ε^*	ε^2* ε^2*	ε^3* ε^3*	ε^4* ε^4*	ε^5* ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	-ε^5* -ε^5*	-ε^4* -ε^4*	-ε^3* -ε^3*	-ε^2* -ε^2*	-ε^* -ε^*
E_2u*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*	-1 -1	-ε^2* -ε^2*	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^6* ε^6*	ε^4* ε^4*	ε^2* ε^2*	1 1	ε^2* ε^2*	ε^4* ε^4*	ε^6* ε^6*	-ε^6* -ε^6*	-ε^4* -ε^4*	-ε^2* -ε^2*
E_3u*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^2* -ε^2*	-ε^* -ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	ε^* ε^*	ε^2* ε^2*	ε^5* ε^5*	-ε^6* -ε^6*	-ε^3* -ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^5* ε^5*	ε^2* ε^2*	ε^* ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	-ε^* -ε^*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^6* ε^6*	ε^3* ε^3*	-1 -1	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^5* ε^5*	ε^2* ε^2*	ε^* ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	-ε^* -ε^*	-ε^2* -ε^2*	-ε^5* -ε^5*	ε^6* ε^6*	ε^3* ε^3*	1 1	ε^3* ε^3*	ε^6* ε^6*	-ε^5* -ε^5*	-ε^2* -ε^2*	-ε^* -ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	ε^* ε^*	ε^2* ε^2*	ε^5* ε^5*	-ε^6* -ε^6*	-ε^3* -ε^3*
E_4u*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	1 1	ε^4* ε^4*	-ε^6* -ε^6*	-ε^2* -ε^2*	-ε^2* -ε^2*	-ε^6* -ε^6*	ε^4* ε^4*	-1 -1	-ε^4* -ε^4*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^4* -ε^4*	-1 -1	-ε^4* -ε^4*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^4* -ε^4*	-1 -1	-ε^4* -ε^4*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^4* -ε^4*	-1 -1	-ε^4* -ε^4*	ε^6* ε^6*	ε^2* ε^2*	ε^2* ε^2*	ε^6* ε^6*	-ε^4* -ε^4*
E_5u*	1 1	ε^5* ε^5*	-ε^4* -ε^4*	-ε^* -ε^*	-ε^6* -ε^6*	ε^3* ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	-ε^3* -ε^3*	ε^6* ε^6*	ε^* ε^*	ε^4* ε^4*	-ε^5* -ε^5*	-1 -1	-ε^5* -ε^5*	ε^4* ε^4*	ε^* ε^*	ε^6* ε^6*	-ε^3* -ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	ε^3* ε^3*	-ε^6* -ε^6*	-ε^* -ε^*	-ε^4* -ε^4*	ε^5* ε^5*	-1 -1	-ε^5* -ε^5*	ε^4* ε^4*	ε^* ε^*	ε^6* ε^6*	-ε^3* -ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	ε^3* ε^3*	-ε^6* -ε^6*	-ε^* -ε^*	-ε^4* -ε^4*	ε^5* ε^5*	1 1	ε^5* ε^5*	-ε^4* -ε^4*	-ε^* -ε^*	-ε^6* -ε^6*	ε^3* ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	-ε^3* -ε^3*	ε^6* ε^6*	ε^* ε^*	ε^4* ε^4*	-ε^5* -ε^5*
E_6u*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*	-1 -1	-ε^6* -ε^6*	ε^2* ε^2*	ε^4* ε^4*	-ε^4* -ε^4*	-ε^2* -ε^2*	ε^6* ε^6*	1 1	ε^6* ε^6*	-ε^2* -ε^2*	-ε^4* -ε^4*	ε^4* ε^4*	ε^2* ε^2*	-ε^6* -ε^6*
E_7u*	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i	-1 -1	-i i	1 1	i -i
E_8u*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	1 1	-ε^6* -ε^6*	-ε^2* -ε^2*	ε^4* ε^4*	ε^4* ε^4*	-ε^2* -ε^2*	-ε^6* -ε^6*	-1 -1	ε^6* ε^6*	ε^2* ε^2*	-ε^4* -ε^4*	-ε^4* -ε^4*	ε^2* ε^2*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^2* ε^2*	-ε^4* -ε^4*	-ε^4* -ε^4*	ε^2* ε^2*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^2* ε^2*	-ε^4* -ε^4*	-ε^4* -ε^4*	ε^2* ε^2*	ε^6* ε^6*	-1 -1	ε^6* ε^6*	ε^2* ε^2*	-ε^4* -ε^4*	-ε^4* -ε^4*	ε^2* ε^2*	ε^6* ε^6*
E_9u*	1 1	-ε^5* -ε^5*	-ε^4* -ε^4*	ε^* ε^*	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	ε^3* ε^3*	ε^6* ε^6*	-ε^* -ε^*	ε^4* ε^4*	ε^5* ε^5*	-1 -1	ε^5* ε^5*	ε^4* ε^4*	-ε^* -ε^*	ε^6* ε^6*	ε^3* ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^* ε^*	-ε^4* -ε^4*	-ε^5* -ε^5*	-1 -1	ε^5* ε^5*	ε^4* ε^4*	-ε^* -ε^*	ε^6* ε^6*	ε^3* ε^3*	-ε^2* -ε^2*	-i i	ε^2* ε^2*	-ε^3* -ε^3*	-ε^6* -ε^6*	ε^* ε^*	-ε^4* -ε^4*	-ε^5* -ε^5*	1 1	-ε^5* -ε^5*	-ε^4* -ε^4*	ε^* ε^*	-ε^6* -ε^6*	-ε^3* -ε^3*	ε^2* ε^2*	i -i	-ε^2* -ε^2*	ε^3* ε^3*	ε^6* ε^6*	-ε^* -ε^*	ε^4* ε^4*	ε^5* ε^5*
E_10u*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*	-1 -1	ε^4* ε^4*	ε^6* ε^6*	-ε^2* -ε^2*	ε^2* ε^2*	-ε^6* -ε^6*	-ε^4* -ε^4*	1 1	-ε^4* -ε^4*	-ε^6* -ε^6*	ε^2* ε^2*	-ε^2* -ε^2*	ε^6* ε^6*	ε^4* ε^4*
E_11u*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^5* ε^5*	-ε^2* -ε^2*	ε^* ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	-ε^* -ε^*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^3* ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^2* ε^2*	-ε^* -ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	ε^* ε^*	-ε^2* -ε^2*	ε^5* ε^5*	ε^6* ε^6*	-ε^3* -ε^3*	-1 -1	ε^3* ε^3*	-ε^6* -ε^6*	-ε^5* -ε^5*	ε^2* ε^2*	-ε^* -ε^*	ε^4* ε^4*	i -i	-ε^4* -ε^4*	ε^* ε^*	-ε^2* -ε^2*	ε^5* ε^5*	ε^6* ε^6*	-ε^3* -ε^3*	1 1	-ε^3* -ε^3*	ε^6* ε^6*	ε^5* ε^5*	-ε^2* -ε^2*	ε^* ε^*	-ε^4* -ε^4*	-i i	ε^4* ε^4*	-ε^* -ε^*	ε^2* ε^2*	-ε^5* -ε^5*	-ε^6* -ε^6*	ε^3* ε^3*
E_12u*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	1 1	-ε^2* -ε^2*	ε^4* ε^4*	-ε^6* -ε^6*	-ε^6* -ε^6*	ε^4* ε^4*	-ε^2* -ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*	-1 -1	ε^2* ε^2*	-ε^4* -ε^4*	ε^6* ε^6*	ε^6* ε^6*	-ε^4* -ε^4*	ε^2* ε^2*
E_13u*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	ε^5* ε^5*	-ε^4* -ε^4*	ε^3* ε^3*	-ε^2* -ε^2*	ε^* ε^*	-1 -1	ε^* ε^*	-ε^2* -ε^2*	ε^3* ε^3*	-ε^4* -ε^4*	ε^5* ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	-1 -1	ε^* ε^*	-ε^2* -ε^2*	ε^3* ε^3*	-ε^4* -ε^4*	ε^5* ε^5*	-ε^6* -ε^6*	-i i	ε^6* ε^6*	-ε^5* -ε^5*	ε^4* ε^4*	-ε^3* -ε^3*	ε^2* ε^2*	-ε^* -ε^*	1 1	-ε^* -ε^*	ε^2* ε^2*	-ε^3* -ε^3*	ε^4* ε^4*	-ε^5* -ε^5*	ε^6* ε^6*	i -i	-ε^6* -ε^6*	ε^5* ε^5*	-ε^4* -ε^4*	ε^3* ε^3*	-ε^2* -ε^2*	ε^* ε^*

Number of symmetry elements	h = 56
Number of classes, irreps	n = 56
Number of real-valued irreducible representations	n = 30
Abelian group	yes
Optical Isomerism (Chirality)	no
Polar	no
Parity	yes

Point Group C_28h

Additional information

Reduce representation to irreducible representations

Genrate representation from irreducible representations

Direct products of irreducible representations

Error: Reduction failed