Point Group D29d

Point Group D_29d

D_29d	E	2C₂₉	2(C₂₉)²	2(C₂₉)³	2(C₂₉)⁴	2(C₂₉)⁵	2(C₂₉)⁶	2(C₂₉)⁷	2(C₂₉)⁸	2(C₂₉)⁹	2(C₂₉)¹⁰	2(C₂₉)¹¹	2(C₂₉)¹²	2(C₂₉)¹³	2(C₂₉)¹⁴	29C'₂	i	2(S₅₈)²⁷	2(S₅₈)²⁵	2(S₅₈)²³	2(S₅₈)²¹	2(S₅₈)¹⁹	2(S₅₈)¹⁷	2(S₅₈)¹⁵	2(S₅₈)¹³	2(S₅₈)¹¹	2(S₅₈)⁹	2(S₅₈)⁷	2(S₅₈)⁵	2(S₅₈)³	2S₅₈	29σ_d
A_1g	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
A_2g	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	2															0	2															0
E_2g	2															0	2															0
E_3g	2															0	2															0
E_4g	2															0	2															0
E_5g	2															0	2															0
E_6g	2															0	2															0
E_7g	2															0	2															0
E_8g	2															0	2															0
E_9g	2															0	2															0
E_10g	2															0	2															0
E_11g	2															0	2															0
E_12g	2															0	2															0
E_13g	2															0	2															0
E_14g	2															0	2															0
A_1u	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
A_2u	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	2															0	-2															0
E_2u	2															0	-2															0
E_3u	2															0	-2															0
E_4u	2															0	-2															0
E_5u	2															0	-2															0
E_6u	2															0	-2															0
E_7u	2															0	-2															0
E_8u	2															0	-2															0
E_9u	2															0	-2															0
E_10u	2															0	-2															0
E_11u	2															0	-2															0
E_12u	2															0	-2															0
E_13u	2															0	-2															0
E_14u	2															0	-2															0

Additional information

Number of symmetry elements	h = 116
Number of classes, irreps	n = 32
Abelian group	no
Optical Isomerism (Chirality)	no
Polar	no
Parity	yes

Reduce representation to irreducible representations

E	2C₂₉	2(C₂₉)²	2(C₂₉)³	2(C₂₉)⁴	2(C₂₉)⁵	2(C₂₉)⁶	2(C₂₉)⁷	2(C₂₉)⁸	2(C₂₉)⁹	2(C₂₉)¹⁰	2(C₂₉)¹¹	2(C₂₉)¹²	2(C₂₉)¹³	2(C₂₉)¹⁴	29C'₂	i	2(S₅₈)²⁷	2(S₅₈)²⁵	2(S₅₈)²³	2(S₅₈)²¹	2(S₅₈)¹⁹	2(S₅₈)¹⁷	2(S₅₈)¹⁵	2(S₅₈)¹³	2(S₅₈)¹¹	2(S₅₈)⁹	2(S₅₈)⁷	2(S₅₈)⁵	2(S₅₈)³	2S₅₈	29σ_d

Genrate representation from irreducible representations

A_1g	A_2g	E_1g	E_2g	E_3g	E_4g	E_5g	E_6g	E_7g	E_8g	E_9g	E_10g	E_11g	E_12g	E_13g	E_14g	A_1u	A_2u	E_1u	E_2u	E_3u	E_4u	E_5u	E_6u	E_7u	E_8u	E_9u	E_10u	E_11u	E_12u	E_13u	E_14u

Direct products of irreducible representations

Error: Reduction failed

Reduction to integer numbers for irreducible representations failed.
Error Code: 1

**Binary products**
⊙	A_1g	A_2g	E_1g	E_2g	E_3g	E_4g	E_5g	E_6g	E_7g	E_8g	E_9g	E_10g	E_11g	E_12g	E_13g	E_14g	A_1u	A_2u	E_1u	E_2u	E_3u	E_4u	E_5u	E_6u	E_7u	E_8u	E_9u	E_10u	E_11u	E_12u	E_13u	E_14u
A_1g

**Characters of reducible representation**
E	2C₂₉	2(C₂₉)²	2(C₂₉)³	2(C₂₉)⁴	2(C₂₉)⁵	2(C₂₉)⁶	2(C₂₉)⁷	2(C₂₉)⁸	2(C₂₉)⁹	2(C₂₉)¹⁰	2(C₂₉)¹¹	2(C₂₉)¹²	2(C₂₉)¹³	2(C₂₉)¹⁴	29C'₂	i	2(S₅₈)²⁷	2(S₅₈)²⁵	2(S₅₈)²³	2(S₅₈)²¹	2(S₅₈)¹⁹	2(S₅₈)¹⁷	2(S₅₈)¹⁵	2(S₅₈)¹³	2(S₅₈)¹¹	2(S₅₈)⁹	2(S₅₈)⁷	2(S₅₈)⁵	2(S₅₈)³	2S₅₈	29σ_d
5	11.263	1.755	23.857	24.650	33.369	0.001	5.603	47.056	17.149	6.787	14.520	21.958	41.544	1.490	1	25	28.686	0.456	8.319	48.509	14.262	3.884	19.072	23.617	37.714	0.366	3.278	44.702	19.762	10.374	1