Results for Point Group S12



Symmetric powers of degenerate representation E2
Vibrational overtones


Characters of symmetric powers
Power
To		 E 2S12 2C6 2S4 2C3 2(S12)5 C2
1 2 1.000 -1 -2 -1 1.000 2
2 3 0.000 0 3 0 0.000 3
3 4 -1.000 1 -4 1 -1.000 4
4 5 -1.000 -1 5 -1 -1.000 5
5 6 0.000 0 -6 0 0.000 6
6 7 1.000 1 7 1 1.000 7
7 8 1.000 -1 -8 -1 1.000 8
8 9 0.000 0 9 0 0.000 9
9 10 -1.000 1 -10 1 -1.000 10
10 11 -1.000 -1 11 -1 -1.000 11
11 12 0.000 0 -12 0 0.000 12
12 13 1.000 1 13 1 1.000 13
13 14 1.000 -1 -14 -1 1.000 14
14 15 0.000 0 15 0 0.000 15
15 16 -1.000 1 -16 1 -1.000 16
16 17 -1.000 -1 17 -1 -1.000 17
17 18 0.000 0 -18 0 0.000 18
18 19 1.000 1 19 1 1.000 19
19 20 1.000 -1 -20 -1 1.000 20
20 21 0.000 0 21 0 0.000 21


Decomposition to irreducible representations
Power
To		 A B E1* E2* E3* E4* E5*
1 0 0 0 1 0 0 0 E2
2 1 0 0 0 0 1 0 A⊕E4
3 0 2 0 1 0 0 0 2B⊕E2
4 1 0 0 0 0 2 0 A⊕2E4
5 0 2 0 2 0 0 0 2B⊕2E2
6 3 0 0 0 0 2 0 3A⊕2E4
7 0 2 0 3 0 0 0 2B⊕3E2
8 3 0 0 0 0 3 0 3A⊕3E4
9 0 4 0 3 0 0 0 4B⊕3E2
10 3 0 0 0 0 4 0 3A⊕4E4
11 0 4 0 4 0 0 0 4B⊕4E2
12 5 0 0 0 0 4 0 5A⊕4E4
13 0 4 0 5 0 0 0 4B⊕5E2
14 5 0 0 0 0 5 0 5A⊕5E4
15 0 6 0 5 0 0 0 6B⊕5E2
16 5 0 0 0 0 6 0 5A⊕6E4
17 0 6 0 6 0 0 0 6B⊕6E2
18 7 0 0 0 0 6 0 7A⊕6E4
19 0 6 0 7 0 0 0 6B⊕7E2
20 7 0 0 0 0 7 0 7A⊕7E4


Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement