.I need to show that G15 is a cyclic group by finding a generator.

This might prove to be a little hard to achieve since this groups isn't cyclic, but do not believe me: just

multiply over and over by itself each element modulo 15 and find out at once that none has order 8...

Tonio

I know that the elements of G15 are {1,2,4,7,8,11,13,14}.

My question is, are every single one of these numbers considered a generator of G15? Or is there more to it??