Table 27 Weyl group \(D_{4}\), conjugacy class 2, order 3

1

\(s_{2}s_{1}\)

2

0

2

\(s_{1}s_{2}\)

2

3

3

\(s_{3}s_{2}\)

2

4

4

\(s_{4}s_{2}\)

2

5

5

\(s_{2}s_{3}\)

2

6

6

\(s_{2}s_{4}\)

2

8

7

\(s_{3}s_{2}s_{3}s_{1}\)

4

1

8

\(s_{4}s_{2}s_{4}s_{1}\)

4

5

9

\(s_{3}s_{2}s_{1}s_{2}\)

4

6

10

\(s_{4}s_{2}s_{1}s_{2}\)

4

7

11

\(s_{2}s_{1}s_{2}s_{3}\)

4

12

12

\(s_{3}s_{1}s_{2}s_{3}\)

4

13

13

\(s_{4}s_{3}s_{2}s_{3}\)

4

15

14

\(s_{3}s_{2}s_{4}s_{3}\)

4

17

15

\(s_{4}s_{2}s_{4}s_{3}\)

4

18

16

\(s_{2}s_{1}s_{2}s_{4}\)

4

19

17

\(s_{4}s_{1}s_{2}s_{4}\)

4

21

18

\(s_{4}s_{3}s_{2}s_{4}\)

4

22

19

\(s_{4}s_{3}s_{2}s_{4}s_{3}s_{1}\)

6

3

20

\(s_{4}s_{3}s_{2}s_{1}s_{2}s_{3}\)

6

13

21

\(s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}\)

6

19

22

\(s_{4}s_{2}s_{1}s_{2}s_{4}s_{3}\)

6

20

23

\(s_{4}s_{3}s_{1}s_{2}s_{4}s_{3}\)

6

22

24

\(s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}\)

6

24

25

\(s_{4}s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}\)

8

5

26

\(s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}s_{2}\)

8

6

27

\(s_{3}s_{2}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}\)

8

7

28

\(s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2}\)

8

9

29

\(s_{4}s_{2}s_{4}s_{1}s_{2}s_{4}s_{3}s_{2}\)

8

11

30

\(s_{4}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{3}\)

8

13

31

\(s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}s_{3}\)

8

15

32

\(s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4}\)

8

20