/* www-ATLAS of Group Representations. G2(4) represented as 65 x 65 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,65,[ "01000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000", "00000000000000000000000000100000000000000000000000000000000000000", "00000000000000000000000000001000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000", "00000000000000000000000000000001000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000000000000000000", "00000000000000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000000000000100000000000000000000000000", "00000000000000000010000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000100000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000000000000001000000000000000000", "00000000000000000000010000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000010000000000000", "00000000000000000000000100000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000010000000000", "00000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000010000000", "00000000000000000000000001000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000010000", "00000000000000000000000000000000000000000000000000000000000000100", "00000000000000000000000000010000000000000000000000000000000000000", "61243365535561411010413166531240304244211504424030152610461336211", "51463144400011221413412264344251115046055145226425456643512602422", "00000000000000000000000000000100000000000000000000000000000000000", "21662450340254001562145661613441221233120122034002060561623003563", "00000000000000000000000000000010000000000000000000000000000000000", "56660246212442452232520250545310450106136405113216225440246202430", "35012445060052645120155365536652336623466600565363454343225436366", "00000000000000000000000000000000100000000000000000000000000000000", "26234065250604632043666055500225235343054432366104125641334633601", "00000000000000000000000000000000010000000000000000000000000000000", "05230531221233065365246146653342405652460001302150231222351410025", "14023450215214241241611562313622324236354405633615614101613566034", "00000000000000000000000000000000000100000000000000000000000000000", "22602560156633112136415414006235355440230565614244220312332562416", "63660515361661650245455621505034340342506330144413113560115341262", "00000000000000000000000000000000000001000000000000000000000000000", "40540603233243623041325663031343043303612621236552413664122050453", "60221656323513513361545565543031626451235121312036561333351566610", "00000000000000000000000000000000000000010000000000000000000000000", "44255514540422354401645504566414500341316350614326215656260136651", "00000000000000000000000000000000000000001000000000000000000000000", "31152255662053333361423112431311146365123011536631555640464654254", "41653355255044461213552600332043635066126440043321336431652060263"]); y:=CambridgeMatrix(1,F,65,[ "00100000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000", "05666600600000000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000", "64604603002004000000000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "65665602601006000000000000000000000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000000000000000000", "00000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000000000000000000", "00000000000000000000000000000000100000000000000000000000000000000", "00000000000000000000000000000000010000000000000000000000000000000", "00000000000000000000000000000000000100000000000000000000000000000", "00000000000000000000000000000000000001000000000000000000000000000", "00000000000000000000000000000000000000010000000000000000000000000", "00000000000000000000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000010000000000000000000000", "00000000000000000000000000000000000000000001000000000000000000000", "00000000000000000000000000000000000000000000010000000000000000000", "00000000000000000000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000000000000010000000000000000", "00000000000000000000000000000000000000000000000000100000000000000", "00000000000000000000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000000000000000000000000010", "00000000000000000000000000000000000000000000000000000000000000001", "00000010000000000000000000000000000000000000000000000000000000000", "62603616405626262426116261355105634663364361045364020406663324134", "40423020610421304205042166603446060500661555325360635640255235205", "20340526144210021443604400451264662351552541212445432035130264032", "51440211435005342611060621436411364604033546411063432504205155035", "26361341304531310352346250331334550360610140014221451036343052525", "52661350653003403222612634326110440353220406242260523622525642135", "34425616426612534555265365622323200311123136566234214144251256430", "05355146556112656534562521456243001460541453246616532113443165432", "45166561146020330045266644254121351015562642446533240455626055615", "60662001226544360441124466332635064142216312301205145430361154542", "52250421423312405221320325441564145250444610435354506150221453100", "60611632604204444145346230303201100152133001060440430603352043223", "00000000010000000000000000000000000000000000000000000000000000000", "26336416340552552301255460142430555420650613363400511403614354120", "06256402144163430435356520305014552505641353121036245641351230050", "00502540341160106044230564403020444662452446133316160003653443625", "45052660441031120042124354502365100200612065651052106330106340441", "15141455624534152551511464133643626404336610312161506604621356164", "41330420113321060621512310006650512603445515504506036660363601020", "62252162121321313110153450112032266455201136634503120040365166111", "54410304214514630554602440262225313065460015446160263566312466040", "02352434203430014664264153211555646153443240262033531425256445610"]); G:=MatrixGroup<65,F|x,y>; print "Group G is G2(4) < GL(65,GF(7))";