##############################################################################
##
#X  Actions of $S_4$
##
Print( "    Symmetries of a Cube:                       \n" );
Print( "    ---------------------                       \n" );
Print( "                                                \n" );
Print( "        2 ___________  1            _ y         \n" );
Print( "         /|         /|              /|          \n" );
Print( "        / |        / |             /            \n" );
Print( "     3 /__|_______/ 4|           -/----> x      \n" );
Print( "       |  |       |  |                          \n" );
Print( "       |8 |_______|__| 7                        \n" );
Print( "       | /        | /                           \n" );
Print( "       |/         |/                            \n" );
Print( "     5 /__________/ 6                           \n" );
Print( "                                                \n" );

x := (1,4,6,7)(2,3,5,8);
y := (1,7,8,2)(4,6,5,3);
g := Group( x, y );

Print( "     g: group generated by rotations x, y (around x- and y-axes)\n" );
Print( "\n" );


##############################################################################
##
#E