Sorry I can see my question is unclear now, I working with finite groups so I know the generators, in this case (S4 matrix representation).

a:=Matrix([[ 0 , 0 , 1 ],
        [ 0 , 1 , 0 ],
        [ 1 , 0 , 0 ]]);
                        
b:=Matrix([[ -1 , -1 , -1 ],
        [ 0 , 1 , 0 ],
        [ 0 , 0 , 1 ]]);
                          
c:=Matrix([[ 0 , 1, 0 ],
        [ 1 , 0 , 0 ],
        [ 0 , 0 , 1 ]]);

now I want to produce the group associated with these matrices.