Abstract We construct a (1+1)-dimension continuum model of 4-component fermions incorporating the exceptional Lie group symmetry G 2. Four gapped and five gapless phases are identified via the one-loop renormalization group analysis. The gapped phases are controlled by four different stable SO(8) Gross-Neveu fixed points. among which three exhibit an emergent triality. https://horusstrapes.shop/product-category/collections/