Lucifer Morningstar

Lucifer is the ruler of Hell, the husband of Lilith and the father of Charlie. He can be seen in multiple pictures alongside Lilith and Charlie in the background of the That's Entertainment.

Personality
Not much is known about Lucifer at this time due to VivziePop wanting to prevent spoilers for the show's later episodes. However, she has stated that he is 'goofy', and has implied that he has a love for music and instruments.

Charlie
Charlie is Lucifer's daughter. It's unknown what their relationship is outside of being blood related.

In her VIVZIE STREEM- Test Test -#1 live stream, when asked if she can tell fans anything about Lucifer, or at least what his relationship is like with Charlie, Vivziepop said that she can not say very much about Lucifer yet because of it being a little bit too much of a spoiler for the future (especially his relationship with Charlie, which is kind of a big part of the show.)

According to Vivziepop in YouTuber ARTISM PODCAST's Artism Episode 59: VivziePop podcast, Charlie takes very much after her father.

In the pilot, it is implied that Lucifer does not believe in his daughter's plan to rehabilitate sinners.

Lilith
Lilith is Lucifer's wife. It's unknown what their relationship is outside of being married.

Alastor

Alastor would kind of likes him. According to viv’s #7 stream, he would like Willy Wonka because he’s a jerk, and then she said that Lucifer has a lot in common with Willy.(in stream’s 2:13:04)

More than that, Vivziepop and Dave said in viv’s #9 stream(0:48:24) that Alastor is in no way would be afraid of Lucifer, though Lucifer may be a intimidating character. They respect each other, there’s a mutual respect going on between them.

Trivia

 * The apple tucked in the brim of his hat and on the end of his cane seem to reference the story of Adam and Eve, where a talking snake (often interpreted as being the Devil) persuades the first woman Eve into eating a forbidden apple, resulting in her and Adam being thrown out of paradise.
 * Lucifer's character is based on the Devil from Abrahamic Mythology, where he is typically portrayed as being the fallen-archangel Lucifer who attempted to conquer heaven in a great war before being cast down to Hell where he became its ruler and the adversary of God.
 * Charlie seems to have inherited his rosy cheeks, yellow eyes, fangs, and pale complexion.
 * In Hazbin, Lucifer and Satan are separate characters.
 * The only hint Vivziepop gives regarding Lucifer's personality is that he is goofy and enjoys polka music.
 * He is slightly shorter than Charlie.
 * Lucifer can play many types of instruments very well, but according to Vivziepop there is an instrument he has not perfected yet, and is quite bad at it as a result. Additionally, she said that his favorite instrument depends on who the voice actor is.
 * When asked if Lucifer is aware of Charlie's idea (indirectly referring to The Happy Hotel), Vivziepop said that she can't say yet because that will be in the show.