1. The problem statement, all variables and given/known data If K is normal in G and |g| = n for some g in G, show that the order of Kg in G/K divides n. 2. Relevant equations None 3. The attempt at a solution Okay so I feel like I have a solution but I don't use all the information given so I'm trying to find holes in it... g^n = 1 K = Kg^n = (Kg)^n. So it seems If we take Kg to the nth power we get it's identity. This means that the order of Kg must divide n. What am I missing here?