The name of the television program is 30 Rock and the name of the character is Jack Donaghy (Alec Baldwin).
His personality gives the show a very professional yet humorous functionality. He is a very classy, high-end, sarcastic, demanding and successful boss of the fictional NBC channel. He passes a lot of backhand comments and messes with Liz Lemon (Tina Fey who is the creator and writer of the show, who also plays the head writer of the TGS show on 30 Rock). However, he has several different sides such as humanity, sadness, anger, disappointment, which are portrayed in the show.
The character has a very slick and professional approach to all the employees under his supervision. However, Jack has a very demanding and boss-like approach to characters such as Kenneth Parcell (Jack McBrayer) and Liz Lemon (Tina Fey). He is a man of prestigious stature who is on his way to higher success.
The leadership styles that fit the characters role are Authoritarian/Autocratic and Delegative or Laissez-faire. The reason that I find these two styles relevant to his role is because his character matches the descriptions very closely.