i meant the SU(2) x SU(2) subgroup of G2.
I have skimmed through your paper about GUTs that you sent me. i am happy to see you prove that the GSM exists at the intersection of Georgi-Glashow and Patti-Salam, which is a thought that also occurred to me a couple of years ago. On which note, another thing that occurred to me, which i have not seen anywhere else, is the equal possibility of unification in Spin(4,6), which yields both Patti-Salam and SU(2,3). the intersection of any 2 of these 3 groups would seem to be the GSM. so i don't know if there is any significance to that.
I have encountered enough crank theories in my time tbh, i'm not surprised you get them in your inbox so i won't bother to add to it. I even got one myself as a PhD student. There was one circulating on mastodon a few months back that amounted to nothing more than setting all the physical constants to 1 and calling it job done!