The NHL Division:
NYR, NYI, NJ, Phi, Was, Pit, Bos, Mtl, Ott, Tor, Buf, Det, Chi
The Unrequited Love Division:
Fla, TB, Car, Clb, Nas, Stl, Dal, Min
The Nocturnal Division:
Wpg, Col, Van, Edm, Cal, SJ, LA, Ana, Phx
The NHL division competes for the Cup. 8 teams make the playoffs, seeded 1-8. Those 13 teams just play each other all year.
The unrequited love division competes for a chance to play in the NHL division if they prove they're good enough, but not right away, it'll take some time.
The nocturnal division...it doesn't really matter what they compete for, since most people are asleep by the end of the 1st period during games out west. So they'll compete for one of those little plastic souvenir Stanley Cups.