Written as products of disjoint cycles, the images of the five nontrivial elements under this permutation representation are

• L_a = (a,e)(b,y)(c,z)
• L_b = (b,e)(a,z)(c,y)
• L_c = (c,e)(a,y)(b,z)
• L_y = (y,z,e)(a,c,b)
• L_z = (e,z,y)(a,b,c).

Note that the multiplication of G can be easily recovered from the list. For instance L_c(a) = y means ca = y.

Written as products of disjoint cycles, the images of the five nontrivial elements under this permutation representation are

• R_a = (a,e)(b,z)(c,y)
• R_b = (b,e)(a,y)(c,z)
• R_c = (c,e)(a,z)(b,y)
• R_y = (z,y,e)(a,b,c)
• R_z = (e,y,z)(a,c,b).

For instance, R_c(a) = z means a = zc.

Written as products of disjoint cycles, the images of the five nontrivial elements under this permutation representation are

• C_a = (b,c)(y,z)
• C_b = (a,c)(y,z)
• C_c = (a,b)(y,z)
• C_y = (a,b,c)
• C_z = (a,c,b).

For instance, C_c(a) = b means ca = bc.