Hey there. Interested in having more influence punch. A few factions offer increased influence gains when you are rank 1 or 5. Does this apply anywhere, or just to the power you are raising inf for?
Thanks o/
You're terms are a bit back-to-front... firstly
Factions - The entities which exist in each system
Powers - Powerplay entities such as Aisling Duval, Denton Patreus etc; and just for completeness
Superpowers - The major entities to which Factions/Powers belong. These are the Alliance, Empire or Federation.
Factions do not offer increased influence gains, the Powers do. But that effect is not a result of holding rank as a pledge to that power, or at least, I can't find any power where that's the case. I presume instead, you're actually talking about the exploitation effects of a power, e.g
These are system-effects, regardless of the pledge-status of the individual commander.
In this case, these are Patreus' effects, and so Imperial factions get influence boosts in his control systems, of which there are currently 56. You don't need to be pledged to Patreus to experience that... but obviously that only occurs in their control systems.