Phoenix's Primogen is Guerrund with Arindale as her Primarch. A complete list of their members can be found here Their official site can be found here
The Phoenix clan of Buya was originally formed to be a search and rescue type clan. Early on they changed their focus from "Search and Rescue" to following the "7 Virtues." The seven virtues are Courtesy, Duty, Generosity, Honor, Pride, Responsibility, Courage