/* www-ATLAS of Group Representations. G2(4).2 represented as 65 x 65 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,65,[ "01000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000", "00000000000000000010000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000", "00000000000000000000000000001000000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000", "00000000000000000000000000000000010000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000100000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000100000000000000000000000000", "00000000000000000000000000000000000000001000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000001000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000010000000000000000000", "00000000000000000000000000000000000000000000000100000000000000000", "00000000000000000000001000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000100000000000000", "00000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000000000000000010000000000", "00000000000000000000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000010000000", "00000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000000000000001000", "00000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000000000001", "00000000000000000000000000000001000000000000000000000000000000000", "02204000433341203010441444042240332102313323134434143332012313111", "00000000000000000000000000000000100000000000000000000000000000000", "44440214441313341242434022241144002200120233321134102404404144201", "32133243244133310413414442434343314300204421233334432321241142321", "00000000000000000000000000000000001000000000000000000000000000000", "44223044124333131140322001414432031034342231101144042244424144204", "03000240434030411221100333312012401110324143302004010141331420344", "00000000000000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000000000001000000000000000000000000000", "30323432032211201142110430031314300044010310113201144403204030210", "03304314010313242211020323011303211001420003143443413400110212040", "00000000000000000000000000000000000000010000000000000000000000000", "04230113300012110214101320124311042130304033044124134020124134022", "00000000000000000000000000000000000000000100000000000000000000000", "22211143142443021020032210231201411142302200134311203021121304303", "00000000000000000000000000000000000000000010000000000000000000000", "11134140323244433123202021220322001200410144413322301202202322003", "41142024410324233232131041400111021143343310314040141343113421400", "00000000000000000000000000000000000000000000100000000000000000000"]); y:=CambridgeMatrix(1,F,65,[ "00100000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000", "10041001400000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000", "14404401300000000000000000000000000000000000000000000000000000000", "04004400400000000000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000000000000000000", "00000000000000000000000000100000000000000000000000000000000000000", "00000000000000000000000000010000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000000000000000000", "00000000000000000000000000000001000000000000000000000000000000000", "00000000000000000000000000000000100000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000000000000000000", "00000000000000000000000000000000000010000000000000000000000000000", "00000000000000000000000000000000000001000000000000000000000000000", "00000000000000000000000000000000000000010000000000000000000000000", "00000000000000000000000000000000000000000100000000000000000000000", "00000000000000000000000000000000000000000010000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000000000000001000000000000000000", "00000000000000000000000000000000000000000000000010000000000000000", "00000000000000000000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000010000000000000", "00000000000000000000000000000000000000000000000000001000000000000", "00000000000100000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000000000000000000100000000", "00000000000010000000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000000000000010000", "00000000000000000000000000000000000000000000000000000000000000100", "00000000000000000000000000000000000000000000000000000000000000010", "43244430112442341404140314431233130034111122224230303130224010202", "33201130344333433424334022040402244002211310314033023104344203423", "00000000000000100000000000000000000000000000000000000000000000000", "20222021333104243103240302013022121230201432012312221403140221234", "24211243140341223420404014144303004313311342423010240031121424130", "24403441323434120424320320110303020130321211023122402223420342242", "12440103304200324010434313442414314301301002444414313143342443002", "30110432114201020100404340112323024200101102331004332121244204341", "11134140323244433123202021220322001200410144413322301202202322003", "33231112330401240131442433234202404202200433034141400420401332114", "22213342430002430033340303003001224134211411430334144203001323220", "03232301010101340324334322204133111112131041444111403144130120313", "31230130233224443240304243441231124403130321230041012223033341342", "22332311004042102041322034021134044400201203311444104430244302402", "10411221432223043243440331232124343041201441314020020013131311422", "41134002140434203440242140032423412030422343224324021403324313413", "00000000000000000010000000000000000000000000000000000000000000000", "30300413424200221341131230003430232144140200341432232144041022343", "30141232131412424334021200424044421434004311111444233440030244000", "40140020132312112213104344041104423321031141334320320422033033041", "14322022120031432213424013220014033030203013331232120232120143433"]); G:=MatrixGroup<65,F|x,y>; print "Group G is G2(4).2 < GL(65,GF(5))";