counterinstitution
noun
coun·ter·in·sti·tu·tion ˌkau̇n-tər-ˌin(t)-stə-ˈtü-shən 
-ˈtyü-
variants or counter-institution
plural counterinstitutions or counter-institutions
: an institution formed to oppose or counteract another institution
… they have started creating small, democratically ordered counterinstitutions to help them alter or dismantle the "official" behemoths …
Harvey Cox
Harvey Cox
Word History
First Known Use
1844, in the meaning defined above