Is social rank capped?

On being promoted to Captain’s Assistant, my career rank is 7, and my charisma is 6, but my social rank is 10? The game suggests that social rank is just adding these two numbers together, which would suggest my social rank should be 13. Is this capped at 10? If so, this should probably be made clear in a tool tip or similar.

I didn’t notice these two numbers not adding up before the promotion (though it’s possible I just didn’t noticed), but I was also only at career rank 2 previously, and so my social rank was 8, which is why I wonder if this is a cap?