What are the four major igneous rock groups

...based on magma temperature?

This is a homework question, would Felsic, intermediate, mafic, and ultramafic sound right?

Yes, felsic, intermediate, mafic and ultramafic are the for major igneous rock groups.
To find out their temperatures and composition study Bowens Reaction Series.

Temperatures range from 650 °C - 1200 °C

That is a good answer, but those you have given are based on composition, not magma temperature.

The Stones, The Who, Led Zeppelin and The Beatles.

if u googled it you would have gotten the right answer very quickly/easily. That being said....I dunno.