No, they really were not a specific group. There was eventually an organization that organised some of the biggest groups of mujahideen in Afghanistan into a couple of alliances (the Peshawar 7 and the Teheran Eight being two of them), but there were many other groups as well.

The Taliban did not in any case organize until after infighting broke out again among those groups, and the Taliban's growth came in large part exactly because these groups were far more disunited at the point the Taliban was rising than during the war against the Soviets.