Chabad and Chagash

Chabad is Chochmah, Binah, and Daas. These are the first three of the sephiros, ie the powers of the soul, and are described as the intellectual components.

Chesed, Geruah, and Teferes are the fourth through six of the sephiros, the first of the emotional or middos oriented sephiros.

Chabad-Lubavitch is more intellectual, or tends to be, than most of the other sects. Hence the name Chabad.

Chagas, characterizes more of the other groups.