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human
[Star Wars] What is the relationship between the First Order, The New Republic, The Resistance and The Jedi

Watched episode 7 last night and I noticed in general hux's speech before destroying the new republic he says is  "the New Republic lies to the galaxy while secretly supporting the treachery of the rogues of the Resistance" 

By saying "they lie to the galaxy" about The Resistance, does this mean no one supports the Resistance at this time? Which doesn't exactly make much sense because who is in support the first order then? The empire wasn't exactly popular by the time it was destroyed, so why would the first order be? The empire already destroyed one planet, now the first order just destroyed an entire system of 5 planets, was that opposed to impress someone or a larger faction in the galaxy? Because if it was just the first order and the new republic why not just invade those systems and take them over? The empire wasn't hesitate to do so in the past. That would seem like the way to go if you didn't want everyone to hate you or maybe there was another reason?

So is there a 5th faction in the galaxy right now everyone is trying to appease? Also note that the first order didn't destroy Coruscant, which makes me wonder who controls it then? Isn't it the planet with the most population and considered the capital of the galaxy? If the Republic was actually in control, they would have that as there capital, but it's not. However if the first order had captured the capital, how did they let the new republic take power, rebuild on 5 planets and call themselves The New Republic? No one would have recognized them and the First order would have attacked them years ago.

That all seems odd, because wouldn't Luke have more power by now? He is a major war hero after destroying the Death Star and killing Darth Vader and Palpatine, in affect shattering the empire. So wouldn't that mean the Jedi have far more support at this time or are they still hated after the jedi Purge? I don't know, but either way, the new republic cannot support him openly, because of his connection to Han and Leia of the resistance. As such the Resistance wouldn't support Luke openly because that would make him appear to support the Resistance, which wouldn't help him in rebuilding the new republic with Jedi. Making him more of target while training new Jedi. (If he was actually working with the new republic)

TL:DR - General Hux says in epsiode 7 before destroying the new republic "the New Republic lies to the galaxy while secretly supporting the treachery of the rogues of the Resistance". So who in the galaxy is he trying to impress? And why doesn't the new republic support the resistance? Could this mean there is a 5th faction in the galaxy controlling Coruscant?
gpt
The New Republic is the successor state of the Galactic Empire. 

The First Order is a splinter faction of the New Republic that is ideologically opposed to the New Republic and seeks to supplant the New Republic as the Empire's successor.

The Resistance is a New Republic-funded insurgency within the First Order that's waging a guerrilla campaign against the First Order. Think the Vietcong, with North Vietnam being the New Republic and the First Order being South Vietnam.

The Jedi had close ties with the New Republic, but following the collapse of the new Jedi Order, their grandmaster has been in hiding.