The wiki page about the Empire Eighty-Eight is [SUPER DISPUTED] and also [SUPER DUPER LOCKED]!
They have two decades of history, a long list of current and past members, and known associations with other organizations elsewhere in the country and abroad. They have, and have always had, an amount of capes rivalled only by the Protectorate itself. They openly and proudly admit to admiring the Nazis, and in particular they aggressively ethnically cleanse any part of the city they officially claim [through legal means] [DISPUTED] and commit or sponsor various hate crimes outside it [DISPUTED!] ...technically not officially. Very technically
They enforce these and such laws in their territory, with emphasis on public cleanness, freedom from vice, and universal community service (including their illegal 'militia'). They handle most ordinary crimes, call in the police when it suits them, and pass and enforce their own judgements when it doesn't, including capital punishment for e.g. (what they rule to be) aggravated assault, murder or rape. They patrol the borders of their claimed territory, collect taxes [DISPUTED] (that is, in addition to paying regular taxes), maintain public infrastructure, et cetera. They control 'immigration' (rents, leases, sales of lots). Even casual visitors who do not pass for 'white' endanger themselves by visiting Empire territory, although the wiki grudgingly admits people who try this are not universally murdered out of hand.
People who live under their 'rule', when interviewed, are broadly happy about all this. Of course there's one hell of a selection effect, plus fear of retribution against complaints. On the other hand, nobody claims they stop ordinary people from leaving.
They don't particularly have beef with the ABB (the local Asian gang) except inasfar as they have beef with everyone who is not 'white', the ABB has beef with everyone period, and they both claim territories and occasionally try to expand them and this predictably results in fighting. They are the two biggest and strongest supervillain gangs in the city, although the Empire accomplishes through vastly superior (cape) numbers and rigorous discipline [disputed] while the ABB does it mainly through Lung, a one-man army. Lung was captured by the Protectorate a short time ago, leaving the Empire as the undisputed [SUPER DISPUTED] strongest criminal cape gang around.