Is This a Cyclic Group?

We're filling out a table a four by four by four grid Like a multiplication table. But there are letters instead of numbers and we get to decide what goes in each spot so race says a times a should give us B And then he wants B times a to be C, but you can't do it all the way again try to make up these tables right that's what I'm saying. You have to remember things are associative Which can be hard to read in a table? That if I do like okay a times B times C has to give me the same thing as A times B Times C is something else in this table. Then I have to do another comparison to make sure