Is Z6 abelian or not?

Could you please clarify whether the group Z6, also known as the additive group of integers modulo 6, is abelian or not? It's important to understand the properties of this group, as they have significant implications in cryptography and other areas of finance and cryptocurrency. Specifically, if Z6 is abelian, it means that the order of operations doesn't matter, and this could have consequences for the security of certain algorithms. On the other hand, if it's not abelian, that could potentially lead to more secure protocols. So, could you please elaborate on this topic and provide a clear answer?