What are the names of the ranks in ancient rome?

If you mean classes by "ranks" they were the patrician, the plebeian, the equites, the freeborn, the freed, and the slaves. If you mean the military ranks, there were the common soldiers, the "miles" the centurions (eleven grades), the tribunes and the legates. If you mean political ranks, there were the aesiles, quaestors, tribunes, praetors and consuls.