Nope, Green Cards don't have categories, they require you to be currently admitted in an immigrant visa category (EB-1 through -5 qualify, as do a number of others, but not H-1B or other non-immigrant visas.)
> But you need to get H1B first before you can jump through the EB hoops.
Citizenship and Immigration Services thinks there's 5 different subcategories of them.
https://www.uscis.gov/working-united-states/permanent-worker...
> only EB green cards.
Nope, Green Cards don't have categories, they require you to be currently admitted in an immigrant visa category (EB-1 through -5 qualify, as do a number of others, but not H-1B or other non-immigrant visas.)
> But you need to get H1B first before you can jump through the EB hoops.
No, you don't.