degree := 52; a := (1,2); b := Random( SymmetricGroup( degree )); G := Group( [a, b] ); Print( "G is a permutation group of degree ", degree, " generated by\n"); Print( "a = ", a, "\n"); Print( "and\n" ); Print( "b = ", b, "\n"); Print( "Its order is ", Size( G ), " =\n " ); PrintFactorsInt( Size(G) ); # P := SylowSubgroup( G, 2 ); # Print( P ); # P := SylowSubgroup( G, 3 ); # Print( P ); # P := SylowSubgroup( G, 5 ); # Print( P );