Team: Shadow (yeah I know "oh thatz so edgie!")
Goal: pretty much they want to draw attention over intentional terrorist acts they do on purpose but making it look as if it was other organisation's or team's doing, so while the whole world and mass-media is talking about what happens on the "surface", they can manage to execute their operations in secret and without almost anyone noticing (except some 10-year-old kid I guess...). Their main goal is to steal technology and money and leaving fake clues behind to put the rest of terrorist organisations against each other. With the power they pretend to accumulate over time, and the inevitable self-destruction of their competition, they plan to secretly infiltrate the government of the pokemon world and end up, with time, controlling everything to become some kind of messed up utopia like 1984 and stuff. Aaaand I just wrote some conspiracy bulls, didn't I?
Leader: some guy? Maybe a woman, that would be a nice change. Maybe her name could be Sombra O. Scura, or Miranda M. Moon? Lol I dunno, some shadow-related name or whatever.
Signature: look at my avi XD dunno I guess they'd have something resembling the eye of providence and whatnot. They use dark and ghost types mostly, but NOT Poochyenas or Mightyenas. Not a single one. Ever.
4 Admins: All of them named after a phase of the moon or some character from that one Shakespeare thing, or Uranus' moons: Oberon, Umbriel, Ariel, etc.
Team story: they were people who wanted money and power. So one day they were hanging out and one of them said "hey, what if we create a terrorist group to achieve money and power?" and everyone was like "Yay money and power!". And so they were born.
Legendary they're after: Darkrai and Cresselia. They want these two to brainwash whoever they need, whenever they need, wherever they need. With control over dreams and the possibility to torture by nightmares, they can control everyone. They would have Alakazams, Gengars and other dark, ghost and psychic types to help them rewrite memories, erase memories, torture psycologically, etc.
Now, gentlemen *tips glasses and leaves*