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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346G:=Group( (1,2)(4,5)(6,7)(8,9)(10,11)(12,13)(14,15)(17,19), (2,15,4,3)(5,18,10,6)(7,8)(11,12)(13,17,16,14)(19,22,21,20) ); F:=FreeGroup(2); F:=F/[F.1^2,F.2^4,(F.1*F.2)^11,(F.1*F.2*F.1*F.2^2)^7, (F.1*F.2*F.1*F.2^-1*F.1*F.2^-1*F.1*F.2^2*F.1*F.2)^2*F.2*F.1*F.2^-1];