trits = {True, Maybe, False};
Print@Grid[
   ArrayFlatten[{{{{Not}}, {{Null}}}, {List /@ trits,
      List /@ Not /@ trits}}]];
Do[Print@Grid[
   ArrayFlatten[{{{{operator}}, {{Null, Null,
        Null}}}, {{{Null}}, {trits}}, {List /@ trits,
      Outer[operator, trits, trits]}}]], {operator, {And, Or, Nand,
   Nor, Xor, Xnor, Implies, Equivalent}}]