WordNet sense 1 (denoting or deriving from or distinctive of the ways of living built up by a group of people):

cultural, ethnical

WordNet sense 2 (living together or enjoying life in communities or organized groups):

social

WordNet sense 3 (not acknowledging the God of Christianity and Judaism and Islam):

heathen, heathenish, pagan

WordNet sense 4 (hostile or indifferent to religion):

irreligious