Point Group D17d

**Characters of symmetric powers**
Power To	E	2C₁₇	2(C₁₇)²	2(C₁₇)³	2(C₁₇)⁴	2(C₁₇)⁵	2(C₁₇)⁶	2(C₁₇)⁷	2(C₁₇)⁸	17C'₂	i	2(S₃₄)¹⁵	2(S₃₄)¹³	2(S₃₄)¹¹	2(S₃₄)⁹	2(S₃₄)⁷	2(S₃₄)⁵	2(S₃₄)³	2S₃₄	17σ_d
1	2	-0.547	-1.700	1.478	0.891	-1.966	0.185	1.865	-1.205	0	2	-0.547	-1.700	1.478	0.891	-1.966	0.185	1.865	-1.205	0
2	3	-0.700	1.891	1.185	-0.205	2.865	-0.966	2.478	0.453	1	3	-0.700	1.891	1.185	-0.205	2.865	-0.966	2.478	0.453	1
3	4	0.931	-1.516	0.273	-1.074	-3.666	-0.363	2.756	0.660	0	4	0.931	-1.516	0.273	-1.074	-3.666	-0.363	2.756	0.660	0
4	5	0.191	0.686	-0.781	-0.753	4.343	0.899	2.663	-1.248	1	5	0.191	0.686	-0.781	-0.753	4.343	0.899	2.663	-1.248	1
5	6	-1.035	0.349	-1.428	0.404	-4.872	0.529	2.209	0.844	0	6	-1.035	0.349	-1.428	0.404	-4.872	0.529	2.209	0.844	0
6	7	0.376	-1.280	-1.329	1.112	5.234	-0.801	1.457	0.230	1	7	0.376	-1.280	-1.329	1.112	5.234	-0.801	1.457	0.230	1
7	8	0.830	1.827	-0.536	0.588	-5.419	-0.677	0.509	-1.122	0	8	0.830	1.827	-0.536	0.588	-5.419	-0.677	0.509	-1.122	0
8	9	-0.830	-1.827	0.536	-0.588	5.419	0.677	-0.509	1.122	1	9	-0.830	-1.827	0.536	-0.588	5.419	0.677	-0.509	1.122	1
9	10	-0.376	1.280	1.329	-1.112	-5.234	0.801	-1.457	-0.230	0	10	-0.376	1.280	1.329	-1.112	-5.234	0.801	-1.457	-0.230	0
10	11	1.035	-0.349	1.428	-0.404	4.872	-0.529	-2.209	-0.844	1	11	1.035	-0.349	1.428	-0.404	4.872	-0.529	-2.209	-0.844	1
11	12	-0.191	-0.686	0.781	0.753	-4.343	-0.899	-2.663	1.248	0	12	-0.191	-0.686	0.781	0.753	-4.343	-0.899	-2.663	1.248	0
12	13	-0.931	1.516	-0.273	1.074	3.666	0.363	-2.756	-0.660	1	13	-0.931	1.516	-0.273	1.074	3.666	0.363	-2.756	-0.660	1
13	14	0.700	-1.891	-1.185	0.205	-2.865	0.966	-2.478	-0.453	0	14	0.700	-1.891	-1.185	0.205	-2.865	0.966	-2.478	-0.453	0
14	15	0.547	1.700	-1.478	-0.891	1.966	-0.185	-1.865	1.205	1	15	0.547	1.700	-1.478	-0.891	1.966	-0.185	-1.865	1.205	1
15	16	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	0	16	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	0
16	17	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	1	17	-0.000	0.000	0.000	0.000	0.000	0.000	0.000	-0.000	1
17	18	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	0	18	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	0
18	19	-0.547	-1.700	1.478	0.891	-1.966	0.185	1.865	-1.205	1	19	-0.547	-1.700	1.478	0.891	-1.966	0.185	1.865	-1.205	1
19	20	-0.700	1.891	1.185	-0.205	2.865	-0.966	2.478	0.453	0	20	-0.700	1.891	1.185	-0.205	2.865	-0.966	2.478	0.453	0
20	21	0.931	-1.516	0.273	-1.074	-3.666	-0.363	2.756	0.660	1	21	0.931	-1.516	0.273	-1.074	-3.666	-0.363	2.756	0.660	1

**Decomposition to irreducible representations**
Power To	A_1g	A_2g	E_1g	E_2g	E_3g	E_4g	E_5g	E_6g	E_7g	E_8g
1	0	0	0	0	0	0	1	0	0	0	E_5g
2	1	0	0	0	0	0	0	0	1	0	A_1g⊕E_7g
3	0	0	0	1	0	0	1	0	0	0	E_2g⊕E_5g
4	1	0	0	0	1	0	0	0	1	0	A_1g⊕E_3g⊕E_7g
5	0	0	0	1	0	0	1	0	0	1	E_2g⊕E_5g⊕E_8g
6	1	0	0	0	1	1	0	0	1	0	A_1g⊕E_3g⊕E_4g⊕E_7g
7	0	0	1	1	0	0	1	0	0	1	E_1g⊕E_2g⊕E_5g⊕E_8g
8	1	0	0	0	1	1	0	1	1	0	A_1g⊕E_3g⊕E_4g⊕E_6g⊕E_7g
9	0	0	1	1	0	0	1	1	0	1	E_1g⊕E_2g⊕E_5g⊕E_6g⊕E_8g
10	1	0	1	0	1	1	0	1	1	0	A_1g⊕E_1g⊕E_3g⊕E_4g⊕E_6g⊕E_7g
11	0	0	1	1	0	1	1	1	0	1	E_1g⊕E_2g⊕E_4g⊕E_5g⊕E_6g⊕E_8g
12	1	0	1	0	1	1	0	1	1	1	A_1g⊕E_1g⊕E_3g⊕E_4g⊕E_6g⊕E_7g⊕E_8g
13	0	0	1	1	1	1	1	1	0	1	E_1g⊕E_2g⊕E_3g⊕E_4g⊕E_5g⊕E_6g⊕E_8g
14	1	0	1	1	1	1	0	1	1	1	A_1g⊕E_1g⊕E_2g⊕E_3g⊕E_4g⊕E_6g⊕E_7g⊕E_8g
15	0	0	1	1	1	1	1	1	1	1	E_1g⊕E_2g⊕E_3g⊕E_4g⊕E_5g⊕E_6g⊕E_7g⊕E_8g
16	1	0	1	1	1	1	1	1	1	1	A_1g⊕E_1g⊕E_2g⊕E_3g⊕E_4g⊕E_5g⊕E_6g⊕E_7g⊕E_8g
17	1	1	1	1	1	1	1	1	1	1	A_1g⊕A_2g⊕E_1g⊕E_2g⊕E_3g⊕E_4g⊕E_5g⊕E_6g⊕E_7g⊕E_8g
18	1	0	1	1	1	1	2	1	1	1	A_1g⊕E_1g⊕E_2g⊕E_3g⊕E_4g⊕2E_5g⊕E_6g⊕E_7g⊕E_8g
19	1	1	1	1	1	1	1	1	2	1	A_1g⊕A_2g⊕E_1g⊕E_2g⊕E_3g⊕E_4g⊕E_5g⊕E_6g⊕2E_7g⊕E_8g
20	1	0	1	2	1	1	2	1	1	1	A_1g⊕E_1g⊕2E_2g⊕E_3g⊕E_4g⊕2E_5g⊕E_6g⊕E_7g⊕E_8g

Results for Point Group D_17d

Symmetric powers of degenerate representation E_5g
Vibrational overtones

Results for Point Group D17d

Symmetric powers of degenerate representation E5gVibrational overtones

Results for Point Group D_17d

Symmetric powers of degenerate representation E_5g
Vibrational overtones