Determine which of the following elements of belong to the conjugacy class and the centralizer of the element . Enter Y for yes and N for no.

Conjugacy classCentralizer
identity
(1,2,3)
(1,3,2)
(1,2,4)
(1,4,2)
(1,3,4)
(1,4,3)
(2,3,4)
(2,4,3)
(1,2),(3,4)
(1,3),(2,4)
(1,4),(2,3)

You can earn partial credit on this problem.