Faction Trophy
From A Wiki in the Desert
To build a Faction Trophy you must be at least the appropriate faction level of the trophy and have researched that level of Local Leadership skill (School of Natural Philosophy). Faction trophies are built from the player Projects menu, under Decorative>Faction.
Only 1 trophy for each level can be built by a player.
Faction Initiate Trophy
Faction Associate Trophy
Materials list for Faction Patriarch Trophy