Table 32 Weyl group \(D_{4}\), conjugacy class 7, order 4
From: Extending Snow’s algorithm for computations in the finite Weyl groups
\(N^{o}\) in CCL | Element | Level | \(N^{o}\) in Level |
|---|---|---|---|
1 | \(s_{4}s_{2}s_{1}\) | 3 | 1 |
2 | \(s_{2}s_{4}s_{1}\) | 3 | 4 |
3 | \(s_{4}s_{1}s_{2}\) | 3 | 7 |
4 | \(s_{1}s_{2}s_{4}\) | 3 | 13 |
5 | \(s_{4}s_{3}s_{2}s_{3}s_{1}\) | 5 | 1 |
6 | \(s_{3}s_{2}s_{4}s_{3}s_{1}\) | 5 | 2 |
7 | \(s_{3}s_{2}s_{4}s_{1}s_{2}\) | 5 | 9 |
8 | \(s_{4}s_{2}s_{4}s_{1}s_{2}\) | 5 | 10 |
9 | \(s_{4}s_{3}s_{1}s_{2}s_{3}\) | 5 | 17 |
10 | \(s_{2}s_{4}s_{1}s_{2}s_{3}\) | 5 | 18 |
11 | \(s_{3}s_{1}s_{2}s_{4}s_{3}\) | 5 | 20 |
12 | \(s_{2}s_{4}s_{1}s_{2}s_{4}\) | 5 | 27 |
13 | \(s_{4}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}\) | 7 | 5 |
14 | \(s_{4}s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 7 | 8 |
15 | \(s_{2}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 7 | 9 |
16 | \(s_{4}s_{3}s_{2}s_{4}s_{1}s_{2}s_{3}\) | 7 | 16 |
17 | \(s_{3}s_{2}s_{4}s_{1}s_{2}s_{4}s_{3}\) | 7 | 21 |
18 | \(s_{4}s_{2}s_{4}s_{1}s_{2}s_{4}s_{3}\) | 7 | 22 |
19 | \(s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}\) | 7 | 23 |
20 | \(s_{4}s_{3}s_{2}s_{4}s_{1}s_{2}s_{4}\) | 7 | 27 |
21 | \(s_{3}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 9 | 8 |
22 | \(s_{4}s_{3}s_{2}s_{4}s_{1}s_{2}s_{4}s_{3}s_{2}\) | 9 | 10 |
23 | \(s_{4}s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{3}\) | 9 | 11 |
24 | \(s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}\) | 9 | 12 |