#gap_skewb.txt
pH := (1,13,29)(21,6,18)(17,24,9)(8,19,23)(20,25,10);
pB := (13,26,9)(6,12,29)(24,4,18)(14,28,7)(15,30,10);
pA := (3,27,14)(11,2,28)(22,16,7)(4,26,12)(5,30,15);
pP := (2,22,19)(16,3,23)(27,11,8)(1,21,17)(5,25,20);
pG := (1,12,24)(21,4,13)(17,26,6)(3,11,22)(5,15,25);
pD := (4,17,29)(26,1,18)(12,21,9)(2,16,27)(5,20,30);
pO := (3,28,19)(11,7,23)(22,14,8)(13,6,24)(15,10,25);
pE := (14,2,23)(28,16,8)(7,27,19)(29,18,9)(30,20,10);
pPsi1 := (4,26,12) ;
pPsi2 := (3,11,22) ;
pOmega1 := (3,2)(16,11)(27,22) ;
pOmega2 := (1,4)(21,26)(17,12) ;
pOmega3 := (5,15) ;
LAMBDAPLUS := Group( pH, pB, pA, pP, pG, pD, pO, pE, pPsi1, pPsi2, pOmega1, pOmega2, pOmega3 );
LAMBDA := Group( pH, pB, pA, pP, pG, pD, pO, pE );
N := 3*3*2*2*2 ;;

Print( "\n" );
Print( "|LAMBDA+| = ",Size( LAMBDAPLUS ) , "\n" );
Print( "|LAMBDA| = ", Size( LAMBDA ) , "\n" );
Print( "N = ",N , "\n" );
Print( "|G+| = ", Factorial(4) * (3^4) * Factorial(4) * (3^4) * Factorial(6)  , "\n" );
Print( "|G| = |G+|/N = ", (Factorial(4) * (3^4) * Factorial(4) * (3^4) * Factorial(6))/ N , "\n" );