G:=Group(
(1,4)(2,3)(5,33)(6,7)(8,39)(9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)
(23,24)(25,26)(27,28)(29,30)(31,32)(34,35)(36,49)(37,38)(40,41)(42,47)(43,44)
(45,54)(46,58)(48,53)(50,55)(51,52)(56,57)(59,60)(61,64)(63,65),
(1,12,13,2)(4,16,6,5)(7,46,9,8)(10,45,44,11)(14,17,26,15)(18,27,38,19)(20,21,
51,50)(22,59,58,23)(24,25,57,34)(28,43,42,29)(30,31,41,53)(32,40,39,33)(35,65,
37,36)(47,52,49,48)(54,64,56,55)(60,63,62,61)
); 
F:=FreeGroup(2);
F.relators:=[F.1^2,F.2^4,(F.1*F.2)^5,(F.1*F.2^-1*F.1*F.2)^7,(F.1*F.2^2)^13,
          F.1*F.2^-1*(F.1*F.2^2)^2*(F.1*F.2^-1*F.1*F.2*F.1*F.2^2)^2*F.1*F.2^2*
          F.1*F.2*(F.1*F.2^2)^4];
K:=Subgroup(F,[F.2^-1*F.1*F.2*F.1*F.2,F.2*F.1*F.2*(F.1*F.2^2)^2*F.1]);
