Juuuust chiming in here with some quick feedback on that chart before fools go and get confused -- (Don't get me wrong, the effort is fantastic!)
First of all, good job not mixing up the 1995 and 2005 timelines in there. Things change drastically in those ten years and people get really screwed up by it.
Dojima and Shimano are not "captains" of the Tojo Clan, they're direct patriarchs. There is no current clan captain (successor to the chairmanship) in 1995, which is part of the reason the shit show begins.
Kiryu's newly localized title is "Lieutenant Advisor" (JP: Shategashira). Think of this as a senior lieutenant who reports directly to and advises the family captain. (By contrast, Kuze, Awano, and Shibusawa were all equally lieutenants, and while Kuze had seniority, he never technically outranked the other two.)
Nishikiyama is not a lieutenant (BTW, you used his 2005 "I'm evil now" image there). Still just a member of the fam.
Majima is now captain (not lieutenant) of the Shimano Family and he has own sub family of which is he the patriarch. He's basically the same rank as Kazama now, which is some shit.
Kazama is confusing af, I know, but he's still in the same place he was in 0 in 1995 - Captain of the Dojima Family, (but running the show, basically) and Patriarch of his own direct sub family.
"Direct" is a term introduced to refer to families who have a seat at the Tojo Clan table. IE, Dojima, Kazama, Shimano are direct patriarchs, but Majima is not. It's not used much, but if you keep an eye out for it, you'll find it.