So I take <z10, +> this to be the group
Z10 = {0,1,2,3,4,5,6,7,8,9} Mod 10 group of additive integers and I worked out the group generators, I won't do all of them but here's an example :
<3> gives {3,6,9,2,5,8,1,4,7,0}
on the other hand
<2> gives {2,4,6,8,0} and that's it! but...