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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: 418346############################################################################# ## #W trans17.grp GAP transitive groups library Alexander Hulpke ## ## #Y Copyright (C) 1997, Lehrstuhl D für Mathematik, RWTH Aachen, Germany ## ## This file contains the transitive groups of degree 17 ## TRANSGRP[17]:= [[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),"C(17)=17"], [(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),(2,17)(3,16)(4,15)(5,14)(6,13) (7,12)(8,11)(9,10),"D(17)=17:2"], [(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17), (2,14,17,5)(3,10,16,9)(4,6,15,13)(7,11,12,8),"F_68(17)=17:4"], [(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17), (2,10,14,16,17,9,5,3)(4,11,6,12,15,8,13,7),"F_136(17)=17:8"], [(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17), (2,4,10,11,14,6,16,12,17,15,9,8,5,13,3,7),"F_272(17)=17:16"], [(1,6,13,5,4,2,15,10,14,12,3,9,7,11,8),(1,16)(2,3)(4,5)(6,7)(8,9)(10,11) (12,13)(14,15),(2,3)(4,9)(5,7)(6,8)(10,14)(11,13)(12,15)(16,17), "L(17)=PSL(2,16)"], [(1,6,13,5,4,2,15,10,14,12,3,9,7,11,8),(1,16)(2,3)(4,5)(6,7)(8,9)(10,11) (12,13)(14,15),(1,7)(2,13)(3,10)(4,11)(5,12)(8,14), (2,3)(4,9)(5,7)(6,8)(10,14)(11,13)(12,15)(16,17),"L(17):2=<PZL(2,16)"], [(1,6,13,5,4,2,15,10,14,12,3,9,7,11,8),(1,16)(2,3)(4,5)(6,7)(8,9)(10,11) (12,13)(14,15),(1,12,7,5)(2,4,13,11)(3,8,10,14)(6,9), (2,3)(4,9)(5,7)(6,8)(10,14)(11,13)(12,15)(16,17),"L(17):4=PYL(2,16)"], [(3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),(1,2,3),"A17"], [(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17),(1,2),"S17"]]; TRANSPROPERTIES[17]:=[[17,1,1,1,"s2401" ,[7017],[15017],[39017]], [34,1,1,1, "01s2301" ,[7017],[-7034],[-15034,7017]], [68,1,1,1, "01s0702s1B01" ,[-3034],[-3068],[-7068,-3034]], [136,1,1,1, "01s0702s1308s0701" ,[-1068],[-1136],[-3136,-1068]], [272,1,2,-1, "01s0702s1308s0703" ,[-136],[-272],[-1272,-136]], [4080,1,3,1, "01s0202s0A08s1509" ,[136],[272],[680],[4,[340,2020]]], [8160,1,3,1, "05s0202s0402s0508s0402s0C01s0309" ,[136],[272],[680],[4,[-2020,340]]], [16320,1,3,1, "05s0202s0422s0508s0402s0808s0301s024009" ,[136],[272],[680],[4,[-2040,-340]]], [177843714048000,1,15,1, "55AAAAB654AAA56AA756B5549B55A95526AD2A966AAB55594D52AB135D6C9ACA95AAB26B29" ,[136],[272],[680],[4,[2380]]], [355687428096000,1,17,-1, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" ,[-136],[-272],[-680]]];