In　the　past　few　decades,　tremendous　efforts　have　been　made　toward　understanding　the　exotic　physics　emerging　from　competition　between　various　ordering　tendencies　in　strongly　correlated　systems.　Employing　state-of-the-art　quantum　Monte　Carlo　simulation,　we　investigate　an　interacting　SU(N)　fermionic　model　with　varying　interaction　strength　and　value　of　N,　and　we　unveil　the　ground　-state　phase　diagram　of　the　model　exhibiting　a　plethora　of　exotic　phases.　For　small　values　of　N-namely,　N　=　2,　3-the　ground　state　is　an　antiferromagnetic　(AFM)　phase,　whereas　in　the　large　-N　limit,　a　staggered　valence　bond　solid　(VBS)　order　is　dominant.　For　intermediate　values　of　N　such　as　N　=　4,　5,　remarkably,　our　study　reveals　that　distinct　VBS　orders　appear　in　the　weak　and　strong　coupling　regimes.　More　fantastically,　the　competition　between　staggered　and　columnar　VBS　ordering　tendencies　gives　rise　to　a　Mott　insulating　phase　without　spontaneous　symmetry　breaking　(SSB),　existing　in　a　large　interacting　parameter　regime,　which　is　consistent　with　a　gapped　quantum　spin　liquid.　Our　study　not　only　provides　a　platform　to　investigate　the　fundamental　physics　of　quantum　many　-body　systems-it　also　offers　a　novel　route　toward　searching　for　exotic　states　of　matter　such　as　quantum　spin　liquid　in　realistic　quantum　materials.