Have you read Son of Neptune yet? Or, I think it might be mentioned in the last chapter of The Lost Hero.
[SPOILER ALERT FOR THOSE WHO HAVE NOT READ SON OF NEPTUNE]
Camp Jupiter is a camp for Roman demigods as Camp Half-Blood is a camp for Greek demigods. Rather than dividing themselves into cabins based on who their godly parent is, they are divided evenly into one of five cohorts based on their skill level/which ever one wants them. Instead of having an oracle, they have an augur (named Octavian, grandson of Apollo/Phoebus) who reads the will of the gods. The camp is run by two elected Praetors rather than beig run by Mr. D and Chiron. And, last but not least, they have purple t-shirts instead of orange t-shirts. The t-shirts say SPQR (Senatus Populusque Romanus/ the senate and the people of Rome), and instead of keeping track of their time spent at camp with beaded necklaces, they use burnt-on tattoos on their arms.
And that is Camp Jupiter summed up into one long paragraph.