## Foster graph on 90 vertices G:=Group( [ ( 5, 6)( 7, 8)(11,14)(12,13)(15,17)(16,18)(19,20)(21,22)(23,29)(24,30)(25,27)(26,28)(31,37)(32,38)(33,35)(34,36)(39,46)(40,45)(41,44)(42,43)(47,53)(48,54)(49,51)(50,52)(55,62)(56,61)(57,60)(58,59)(63,69)(64,70)(65,67)(66,68)(75,78)(76,77)(79,82)(80,81), (11,12)(13,14)(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)(39,40)(41,42)(43,44)(45,46)(47,48)(49,50)(51,52)(53,54)(55,56)(57,58)(59,60)(61,62)(63,64)(65,66)(67,68)(69,70)(71,72)(73,74)(75,76)(77,78)(79,80)(81,82)(83,84)(85,86)(87,88)(89,90), ( 5, 6)( 9,10)(11,14)(12,13)(19,22)(20,21)(23,27)(24,28)(25,29)(26,30)(31,35)(32,36)(33,37)(34,38)(39,44)(40,43)(41,46)(42,45)(47,51)(48,52)(49,53)(50,54)(55,60)(56,59)(57,62)(58,61)(63,67)(64,68)(65,69)(66,70)(71,73)(72,74)(75,76)(77,78)(79,81)(80,82)(83,84)(85,86)(87,88)(89,90), ( 3, 4)( 7, 9)( 8,10)(13,14)(15,19)(16,20)(17,21)(18,22)(27,30)(28,29)(31,39)(32,40)(33,41)(34,42)(35,45)(36,46)(37,43)(38,44)(47,55)(48,56)(49,57)(50,58)(51,61)(52,62)(53,59)(54,60)(63,64)(65,66)(67,69)(68,70)(71,75)(72,76)(73,77)(74,78)(79,80)(81,82)(83,85)(84,86)(87,88)(89,90), ( 2, 3)( 5, 7)( 6, 8)(11,16)(12,15)(13,17)(14,18)(19,20)(23,31)(24,32)(25,35)(26,36)(27,33)(28,34)(29,37)(30,38)(39,40)(41,43)(42,44)(45,46)(49,51)(50,52)(55,63)(56,64)(57,67)(58,68)(59,66)(60,65)(61,70)(62,69)(75,79)(76,80)(77,81)(78,82)(85,88)(86,87), ( 1, 2)( 3, 5)( 4, 6)( 7,12, 8,11)( 9,13,10,14)(15,26,18,23)(16,24,17,25)(19,30,22,27)(20,28,21,29)(31,47,34,50)(32,49,33,48)(35,55,38,58)(36,57,37,56)(39,51,42,54)(40,53,41,52)(43,59,46,62)(44,61,45,60)(63,74,66,71)(64,72,65,73)(67,78,70,75)(68,76,69,77)(79,83)(80,84)(81,85)(82,86)(87,90)(88,89) ]); foster:=EdgeOrbitsGraph(G,[1,2]);