Point Group C14v

**Characters of symmetric powers**
Power To	E	2C₁₄	2C₇	2(C₁₄)³	2(C₇)²	2(C₁₄)⁵	2(C₇)³	C₂	7σ_v	7σ_d
1	2	1.247	-0.445	-1.802	-1.802	-0.445	1.247	2	0	0
2	3	0.555	-0.802	2.247	2.247	-0.802	0.555	3	1	1
3	4	-0.555	0.802	-2.247	-2.247	0.802	-0.555	4	0	0
4	5	-1.247	0.445	1.802	1.802	0.445	-1.247	5	1	1
5	6	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	6	0	0
6	7	-0.000	-0.000	-0.000	-0.000	0.000	0.000	7	1	1
7	8	1.000	1.000	1.000	1.000	1.000	1.000	8	0	0
8	9	1.247	-0.445	-1.802	-1.802	-0.445	1.247	9	1	1
9	10	0.555	-0.802	2.247	2.247	-0.802	0.555	10	0	0
10	11	-0.555	0.802	-2.247	-2.247	0.802	-0.555	11	1	1
11	12	-1.247	0.445	1.802	1.802	0.445	-1.247	12	0	0
12	13	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	13	1	1
13	14	-0.000	-0.000	-0.000	-0.000	0.000	0.000	14	0	0
14	15	1.000	1.000	1.000	1.000	1.000	1.000	15	1	1
15	16	1.247	-0.445	-1.802	-1.802	-0.445	1.247	16	0	0
16	17	0.555	-0.802	2.247	2.247	-0.802	0.555	17	1	1
17	18	-0.555	0.802	-2.247	-2.247	0.802	-0.555	18	0	0
18	19	-1.247	0.445	1.802	1.802	0.445	-1.247	19	1	1
19	20	-1.000	-1.000	-1.000	-1.000	-1.000	-1.000	20	0	0
20	21	-0.000	-0.000	-0.000	-0.000	0.000	0.000	21	1	1

**Decomposition to irreducible representations**
Power To	A₁	A₂	E₂	E₄	E₆
1	0	0	1	0	0	E₂
2	1	0	0	1	0	A₁⊕E₄
3	0	0	1	0	1	E₂⊕E₆
4	1	0	0	1	1	A₁⊕E₄⊕E₆
5	0	0	1	1	1	E₂⊕E₄⊕E₆
6	1	0	1	1	1	A₁⊕E₂⊕E₄⊕E₆
7	1	1	1	1	1	A₁⊕A₂⊕E₂⊕E₄⊕E₆
8	1	0	2	1	1	A₁⊕2E₂⊕E₄⊕E₆
9	1	1	1	2	1	A₁⊕A₂⊕E₂⊕2E₄⊕E₆
10	1	0	2	1	2	A₁⊕2E₂⊕E₄⊕2E₆
11	1	1	1	2	2	A₁⊕A₂⊕E₂⊕2E₄⊕2E₆
12	1	0	2	2	2	A₁⊕2E₂⊕2E₄⊕2E₆
13	1	1	2	2	2	A₁⊕A₂⊕2E₂⊕2E₄⊕2E₆
14	2	1	2	2	2	2A₁⊕A₂⊕2E₂⊕2E₄⊕2E₆
15	1	1	3	2	2	A₁⊕A₂⊕3E₂⊕2E₄⊕2E₆
16	2	1	2	3	2	2A₁⊕A₂⊕2E₂⊕3E₄⊕2E₆
17	1	1	3	2	3	A₁⊕A₂⊕3E₂⊕2E₄⊕3E₆
18	2	1	2	3	3	2A₁⊕A₂⊕2E₂⊕3E₄⊕3E₆
19	1	1	3	3	3	A₁⊕A₂⊕3E₂⊕3E₄⊕3E₆
20	2	1	3	3	3	2A₁⊕A₂⊕3E₂⊕3E₄⊕3E₆

Results for Point Group C_14v