I agree with you in that they are focused on themselves. They also have an extreme desire to control everyone and everything else. They may be entirely focused on themselves in many conversations. With people they have close relationships with they always want control over them. It may be to control what happens in their own life, but it shows up in controlling ways to everyone else.

Also in conversations about any issues with a relationship, it will all be turned back on the other person and made to be their fault. I understand this may be a narcissist protecting themselves and their ego or issues, but it shows up on the outside being controlling and blaming to the other person at best. At worst it's character assassinations.