/*
www-ATLAS of Group Representations.
G2(4) represented as 64 x 64 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,64,[
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"0000000000000000000000000010000000000000000000000000000000000000",
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"0000000000000000000000000000100000000000000000000000000000000000",
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"0000000000000000000000000000010000000000000000000000000000000000",
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"1022300332013210201210321213021111110123201112212100212213110331",
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"2202001300220330332201121031301122201113303020112311022310232030",
"2033310033003300221130310212030201013301202032100311023022102102"]);

y:=CambridgeMatrix(1,F,64,[
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"0000010000000000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000000",
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"0000000000000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000000000000",
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"0000000000000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000000000000001000",
"0000001000000000000000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000000000000000000000000001",
"3200031130033322123010002101012111100302102133003313032111213021",
"0313203022323201323001110103203110233033301231213230130030031022",
"0330112010032021101113202033030322133033302013112331220200300130",
"3231021201123200122021230123020131221011321333122012202131203001",
"3320301221203102112020302030031010023232313231000211111301022102",
"2300231320132200111313323101120220110100211010212223301122230232",
"1331231002033232111133200001200301210013030023100131131020001122",
"0000000010000000000000000000000000000000000000000000000000000000",
"1012011111311030232032023331200301023330100111021000120032110101",
"3101212132301232332230121012131112033000133030201111113222223230",
"1330311330003020202031211022111311012122312233220112200031311112",
"2233202203031020300103313010233333300012303131130022223322002303",
"3220213110030103213013020020321013321100033102010222211122013202",
"1030313110223230212101131130333311111010331303023313320012321231",
"1003213132022032031212302210001321101121201221131201210132101032",
"1113312022232023102020201221213121322020300123101201112031013311",
"2013111001101213203233011130011220102221001200320101100232021102",
"3000231320110102120223230123022332123300033323033130103221122202",
"0010012011113002321022322231211133322221030131113002312020330113",
"0331102211311000320010203122132201033332131121220130012323000102",
"0030301133000331301000001330022310020201201033031131130001233332"]);

G<x,y>:=MatrixGroup<64,F|x,y>;
print "Group G is G2(4) < GL(64,GF(4))";