No-Coverage Answer
The term "Azazin" does not appear in any of the 834+ transcripts in the Taygetan contact material. There is no discussion of a Karistus sub-group by this name, nor any connection drawn between the Karistus and the historical Hashshashin/Assassins of Persia.
The Karistus are described as a 6D race from Jupiter with a connection to the Christ/Dhor Kristil concept (232, 234), and their internal structure and sub-groups are not elaborated beyond the general description of their nature and their claim that all Lyrian races are their hybrids.
See also: What are the Karistus and what are they doing about Earth? (covers the Karistus profile)
Searched: All 834+ transcripts (grep for "Azazin," "Assassin," "Hashshashin," "Persia" + Karistus). Zero results for Azazin/Assassin terms.