GSPC uncommon noun 1. an Algerian extremist Islamic offshoot of the Armed Islamic Group; now the largest and most active armed terrorist group in Algeria that seeks to overthrow the government; a major source of support and recruitment for al-Qaeda operations in Europe and northern Africa SynonymsSalafist GroupSalafast Group for Call and Combat Related words Broader terms terrorist organization WordNet 2.1 (Princeton University). WordNet 2.1 Copyright Princeton University. All rights reserved.