$BR^4_{1}\quad U=\iota\quad D=\iota\quad \hbox{order 2} \quad S, c_1 = 8, c_2 = 0$\hfil\break $BR^4_{2}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=(\iota , \iota , (3 4) , (3 4))\quad \hbox{order 2} \quad S, c_1 = 4, c_2 = 0$\hfil\break $BR^4_{3}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=(\iota , (3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{4}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=(\iota , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{5}\quad U=(\iota , \iota , (2 4 3) , (2 3 4))\quad D=(\iota , (3 4) , (3 4) , (3 4))\quad \hbox{order 6} \quad c_1 = 3, c_2 = 1$\hfil\break $BR^4_{6}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((3 4) , (3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{7}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{8}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=(\iota , \iota , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{9}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=(\iota , \iota , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{10}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((3 4) , (3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{11}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{12}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((3 4) , (3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{13}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{14}\quad U=(\iota , \iota , \iota , (2 3))\quad D=(\iota , \iota , \iota , (2 3))\quad \hbox{order 2} \quad S, c_1 = 4, c_2 = 0$\hfil\break $BR^4_{15}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=(\iota , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{16}\quad U=(\iota , (3 4) , (3 4) , (3 4))\quad D=(\iota , (3 4) , (3 4) , (3 4))\quad \hbox{order 2} \quad S, c_1 = 4, c_2 = 0$\hfil\break $BR^4_{17}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , \iota , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{18}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , \iota , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{19}\quad U=(\iota , (3 4) , (3 4) , (3 4))\quad D=((3 4) , \iota , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{20}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , (3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{21}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{22}\quad U=(\iota , (3 4) , (3 4) , (3 4))\quad D=((3 4) , (3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{23}\quad U=(\iota , (3 4) , (3 4) , (3 4))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{24}\quad U=(\iota , (3 4) , (1 4 3) , (1 3 4))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{25}\quad U=(\iota , (2 3) , (3 4) , (2 4))\quad D=(\iota , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{26}\quad U=(\iota , (2 3 4) , (2 3 4) , (2 3 4))\quad D=(\iota , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad S, c_1 = 2, c_2 = 0$\hfil\break $BR^4_{27}\quad U=(\iota , (2 3 4) , (2 3 4) , (2 3 4))\quad D=(\iota , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 2} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{28}\quad U=(\iota , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 3 4) , \iota , \iota , \iota)\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{29}\quad U=(\iota , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{30}\quad U=(\iota , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{31}\quad U=(\iota , (2 4 3) , (2 4 3) , (2 4 3))\quad D=((2 3 4) , \iota , \iota , \iota)\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{32}\quad U=(\iota , (2 4 3) , (2 4 3) , (2 4 3))\quad D=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{33}\quad U=(\iota , (2 4 3) , (2 4 3) , (2 4 3))\quad D=((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{34}\quad U=(\iota , (1 3)(2 4) , (1 4)(2 3) , (1 2)(3 4))\quad D=((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 3} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{35}\quad U=(\iota , \iota , (3 4) , (1 2)(3 4))\quad D=(\iota , \iota , (3 4) , (1 2)(3 4))\quad \hbox{order 2} \quad S, c_1 = 0, c_2 = 0$\hfil\break $BR^4_{36}\quad U=(\iota , \iota , (1 2)(3 4) , (3 4))\quad D=(\iota , \iota , (3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{37}\quad U=(\iota , \iota , \iota , (1 2 3))\quad D=(\iota , \iota , \iota , (1 2 3))\quad \hbox{order 6} \quad S, c_1 = 2, c_2 = 0$\hfil\break $BR^4_{38}\quad U=(\iota , \iota , \iota , (1 3 2))\quad D=(\iota , \iota , \iota , (1 2 3))\quad \hbox{order 2} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{39}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((3 4) , (3 4) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{40}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{41}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=(\iota , \iota , (1 2) , (1 2))\quad \hbox{order 2} \quad S, c_1 = 4, c_2 = 0$\hfil\break $BR^4_{42}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{43}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 2} \quad S, c_1 = 0, c_2 = 0$\hfil\break $BR^4_{44}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{45}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{46}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((3 4) , (3 4) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{47}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{48}\quad U=(\iota , (3 4) , \iota , \iota)\quad D=((3 4) , (3 4) , (1 4) , (1 3))\quad \hbox{order 6} \quad c_1 = 3, c_2 = 1$\hfil\break $BR^4_{49}\quad U=((3 4) , (3 4) , \iota , \iota)\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{50}\quad U=((3 4) , (3 4) , (3 4) , (3 4))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 2} \quad S, c_1 = 8, c_2 = 0$\hfil\break $BR^4_{51}\quad U=((3 4) , (3 4) , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{52}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((3 4) , (3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{53}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((3 4) , (3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{54}\quad U=((3 4) , (3 4) , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (1 2) , (1 2))\quad \hbox{order 2} \quad S, c_1 = 0, c_2 = 0$\hfil\break $BR^4_{55}\quad U=((3 4) , (3 4) , (1 2) , (1 2))\quad D=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{56}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 2} \quad S, c_1 = 4, c_2 = 0$\hfil\break $BR^4_{57}\quad U=(\iota , \iota , \iota , (1 3 2))\quad D=((2 3) , (1 3) , (1 2) , (1 2 3))\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{58}\quad U=((3 4) , (1 4 2 3) , (1 2) , (1 3 2 4))\quad D=((2 3) , (1 3 4 2) , (1 4) , (1 2 4 3))\quad \hbox{order 2} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{59}\quad U=((2 3 4) , \iota , \iota , \iota)\quad D=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{60}\quad U=((2 3 4) , \iota , \iota , \iota)\quad D=((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{61}\quad U=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad S, c_1 = 8, c_2 = 0$\hfil\break $BR^4_{62}\quad U=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{63}\quad U=((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))\quad D=((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 6} \quad S, c_1 = 2, c_2 = 0$\hfil\break $BR^4_{64}\quad U=((2 3 4) , \iota , \iota , \iota)\quad D=((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{65}\quad U=((2 3 4) , \iota , \iota , \iota)\quad D=((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{66}\quad U=((2 3 4) , (2 3) , (3 4) , (2 4))\quad D=((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{67}\quad U=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 4 3) , (2 3) , (3 4) , (2 4))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{68}\quad U=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{69}\quad U=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad D=((2 4 3) , (2 4 3) , (2 4 3) , (2 4 3))\quad \hbox{order 2} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{70}\quad U=((2 3 4) , (2 4 3) , (2 4 3) , (2 4 3))\quad D=((2 4 3) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 2} \quad c_1 = 2, c_2 = 0$\hfil\break $BR^4_{71}\quad U=((2 3 4) , (1 3 2) , (1 4 3) , (1 2 4))\quad D=((2 3 4) , (2 3 4) , (2 3 4) , (2 3 4))\quad \hbox{order 3} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{72}\quad U=((2 4 3) , \iota , \iota , \iota)\quad D=\iota\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{73}\quad U=((2 4 3) , (1 3 4) , (1 4 2) , (1 2 3))\quad D=\iota\quad \hbox{order 3} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{74}\quad U=((2 4) , \iota , \iota , \iota)\quad D=\iota\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{75}\quad U=((2 4) , \iota , (2 4) , \iota)\quad D=\iota\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{76}\quad U=((2 4) , (1 3) , (2 4) , (1 3))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{77}\quad U=((2 4) , (1 4) , \iota , (1 2))\quad D=\iota\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{78}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2) , (1 2) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{79}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2) , (1 2) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{80}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{81}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{82}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((1 2) , (1 2) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{83}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2) , (1 2) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{84}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{85}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , \iota , \iota)\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{86}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{87}\quad U=(\iota , \iota , (3 4) , (1 2)(3 4))\quad D=((1 2) , (1 2) , (3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{88}\quad U=(\iota , \iota , (1 2)(3 4) , (3 4))\quad D=((1 2) , (1 2) , (3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{89}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2) , (1 2) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{90}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{91}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{92}\quad U=(\iota , \iota , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{93}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{94}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2) , (1 2) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{95}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{96}\quad U=(\iota , \iota , (1 2) , (1 2))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{97}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{98}\quad U=(\iota , \iota , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{99}\quad U=((3 4) , (3 4) , (3 4) , (3 4))\quad D=((1 2) , (1 2) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{100}\quad U=((3 4) , (3 4) , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{101}\quad U=((3 4) , (3 4) , (1 2) , (1 2))\quad D=((1 2) , (1 2) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{102}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2) , (1 2) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{103}\quad U=((3 4) , (3 4) , (1 2) , (1 2))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{104}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{105}\quad U=((3 4) , (3 4) , (3 4) , (3 4))\quad D=((1 2) , (1 2) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{106}\quad U=((3 4) , (3 4) , (3 4) , (3 4))\quad D=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{107}\quad U=((3 4) , (3 4) , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{108}\quad U=((3 4) , (3 4) , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{109}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{110}\quad U=((3 4) , (3 4) , (1 2) , (1 2))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{111}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2) , (1 2))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{112}\quad U=((3 4) , (3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{113}\quad U=((1 2) , (1 2) , (3 4) , (3 4))\quad D=((1 2) , (1 2) , (3 4) , (3 4))\quad \hbox{order 2} \quad S, c_1 = 0, c_2 = 0$\hfil\break $BR^4_{114}\quad U=((1 2) , (1 2) , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 2, c_2 = 2$\hfil\break $BR^4_{115}\quad U=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 0$\hfil\break $BR^4_{116}\quad U=((1 2) , (1 2)(3 4) , (3 4) , (3 4))\quad D=((1 2) , (1 2)(3 4) , (3 4) , (3 4))\quad \hbox{order 2} \quad S, c_1 = 0, c_2 = 0$\hfil\break $BR^4_{117}\quad U=((1 2) , (1 2)(3 4) , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2) , (3 4) , (3 4))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{118}\quad U=((1 2) , (1 2) , (3 4) , (3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{119}\quad U=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 2} \quad S, c_1 = 4, c_2 = 0$\hfil\break $BR^4_{120}\quad U=((1 2) , (1 2) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{121}\quad U=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad \hbox{order 2} \quad S, c_1 = 8, c_2 = 0$\hfil\break $BR^4_{122}\quad U=((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4))\quad D=((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{123}\quad U=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 2 4 3) , (1 3 4 2) , (1 3 4 2) , (1 2 4 3))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{124}\quad U=((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4))\quad D=((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4))\quad \hbox{order 4} \quad S, c_1 = 0, c_2 = 0$\hfil\break $BR^4_{125}\quad U=((1 2 3 4) , (1 2 3 4) , (1 2 3 4) , (1 2 3 4))\quad D=((1 2 3 4) , (1 2 3 4) , (1 2 3 4) , (1 2 3 4))\quad \hbox{order 4} \quad S, c_1 = 8, c_2 = 0$\hfil\break $BR^4_{126}\quad U=((1 2 3 4) , (1 4 3 2) , (1 3) , (2 4))\quad D=((1 2 4 3) , (1 3 4 2) , (2 3) , (1 4))\quad \hbox{order 2} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{127}\quad U=((1 2 3 4) , (1 4 3 2) , (1 2 3 4) , (1 4 3 2))\quad D=((1 2 3 4) , (1 4 3 2) , (1 2 3 4) , (1 4 3 2))\quad \hbox{order 2} \quad S, c_1 = 0, c_2 = 0$\hfil\break $BR^4_{128}\quad U=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 3 4 2) , (1 2 4 3) , (1 2 4 3) , (1 3 4 2))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{129}\quad U=((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4))\quad D=((1 3)(2 4) , (1 2)(3 4) , (1 2)(3 4) , (1 3)(2 4))\quad \hbox{order 2} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{130}\quad U=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 3 2) , (1 2 4) , (1 4 3) , (2 3 4))\quad \hbox{order 3} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{131}\quad U=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 3)(2 4) , (1 3)(2 4) , (1 3)(2 4) , (1 3)(2 4))\quad \hbox{order 4} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{132}\quad U=((1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4) , (1 2)(3 4))\quad D=((1 3 2 4) , (1 3 2 4) , (1 3 2 4) , (1 3 2 4))\quad \hbox{order 8} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{133}\quad U=((1 2)(3 4) , (1 3)(2 4) , (1 3)(2 4) , (1 2)(3 4))\quad D=((1 3 4 2) , (1 3 4 2) , (1 3 4 2) , (1 3 4 2))\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{134}\quad U=((1 2 4 3) , (1 3 4 2) , (1 3 4 2) , (1 2 4 3))\quad D=((1 3 4 2) , (1 2 4 3) , (1 2 4 3) , (1 3 4 2))\quad \hbox{order 4} \quad c_1 = 0, c_2 = 0$\hfil\break $BR^4_{135}\quad U=((1 2 4 3) , (1 2 4 3) , (1 2 4 3) , (1 2 4 3))\quad D=((1 3 4 2) , (1 3 4 2) , (1 3 4 2) , (1 3 4 2))\quad \hbox{order 2} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{136}\quad U=((1 4 3) , \iota , (1 4 3) , (1 4 3))\quad D=\iota\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{137}\quad U=((1 4 3) , (1 3 4) , (1 4 3) , (1 4 3))\quad D=\iota\quad \hbox{order 6} \quad c_1 = 5, c_2 = 3$\hfil\break $BR^4_{138}\quad U=((1 4 3) , (1 4 3) , (1 4 3) , (1 4 3))\quad D=\iota\quad \hbox{order 6} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{139}\quad U=((1 4) , \iota , \iota , (1 4))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{140}\quad U=((1 4) , (2 3) , (2 3) , (1 4))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{141}\quad U=((1 4) , (1 4) , \iota , (1 4))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{142}\quad U=((1 4) , (1 4) , (1 4) , (1 4))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{143}\quad U=((1 4 2 3) , (1 4 2 3) , (1 4 2 3) , (1 4 2 3))\quad D=\iota\quad \hbox{order 8} \quad c_1 = 8, c_2 = 0$\hfil\break $BR^4_{144}\quad U=((1 4)(2 3) , \iota , \iota , (1 4)(2 3))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 4, c_2 = 4$\hfil\break $BR^4_{145}\quad U=((1 4)(2 3) , (2 3) , (2 3) , (1 4)(2 3))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{146}\quad U=((1 4)(2 3) , (1 4) , (1 4) , (1 4)(2 3))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 6, c_2 = 2$\hfil\break $BR^4_{147}\quad U=((1 4)(2 3) , (1 4)(2 3) , (1 4)(2 3) , (1 4)(2 3))\quad D=\iota\quad \hbox{order 4} \quad c_1 = 8, c_2 = 0$\hfil\break