$BQ^4_{1}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((3 4) , (3 4) , \iota , \iota)$\hfil\break $BQ^4_{2}\quad U=(\iota , \iota , \iota , (2 3))\quad D=(\iota , \iota , \iota , (2 3))$\hfil\break $BQ^4_{3}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , \iota , \iota , \iota)$\hfil\break $BQ^4_{4}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , (3 4) , \iota , \iota)$\hfil\break $BQ^4_{5}\quad U=(\iota , \iota , \iota , (1 2 3))\quad D=(\iota , \iota , \iota , (1 3 2))$\hfil\break $BQ^4_{6}\quad U=(\iota , \iota , \iota , (1 3 2))\quad D=(\iota , \iota , \iota , (1 3 2))$\hfil\break $BQ^4_{7}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=(\iota , \iota , (1 2) , (1 2))$\hfil\break $BQ^4_{8}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $BQ^4_{9}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , (3 4) , (1 4) , (1 3))$\hfil\break $BQ^4_{10}\quad U=((3 4) , (3 4) , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (1 2) , (1 2))$\hfil\break $BQ^4_{11}\quad U=(\iota , \iota , \iota , (1 3 2))\quad D=((2 3) , (1 3) , (1 2) , (1 3 2))$\hfil\break