Is Faction C supposed to be the faction AS the revolution is happening? Or, is it the faction that forms AFTER the revolution has happened?
Anyways, on the 'good' Faction C, Alessandra only appears once and it's on the SS route when Angelica can reform her. Angelica is just overpowered lol.
Good question that I don't have a clear answer to yet. As we know, most factions will start playing an important role somewhere around ep9. My guess is that revo. faction C will be no exception and will start acting then as well.
However, Yvette's incomprehensible absence there could also speak to the fact that this is the state of faction C just AFTER the revolution is over, which could suggest that Yvette simply won't make it to the finale. (Also, she's not in any other faction either, not just C).
Let's take the Dom version of Faction C as an example.
The first oddity I've already mentioned is Alessandra's presence on the list of possible leaders of this revolutionary faction. What is she doing here? Yes, I believe that at this point Alessa may be genuinely betting everything on Olivia winning so that she can then (or in the process) try to become the gray cardinal who will actually run things. Maybe her scheming and plans to eliminate the other sisters fit into that scenario?
However, based on Alessandra's behavior, I definitely can't be convinced that she's the kind of person, who is willing to willingly hand the victory in Gambit to Olivia and settle for a position as an advisor or something.
What does leadership in a particular faction mean? How important is it really? It's clear that when, say, Kane and Olivia win the Gambit, they both won't care about factions and all power will go to the two of them. And will there be a safe and comfortable place for Alessa after that victory?
Or is her possible bet on Olivia just an appearance and she's just waiting for the moment to try to kill her too, thus getting rid of yet another rival for the role of Dom Kane's wife.
If revolution (regardless of the outcome) implies some sort of justice in the new world order, why can Claudia only be in faction C
only if Dominique or Olivia leader and high evil for all of them? It seemed to me that outright evil and Astrid's idealistic revolution were different things, and faction members (logically) should gravitate towards good rather than evil.

However, as we can see, this is not entirely true.
I'll say this, neither faction A nor faction B raise such questions for me and everything looks quite logical and expected there, which can't be said about C.