/*
www-ATLAS of Group Representations.
3.S7 represented as 36 x 36 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000100000000000000000000000000000",
"001000000000000000000000000000000000",
"000000000100000000000000000000000000",
"000100000000000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000001000000000000000000000",
"000001000000000000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000000100000000000000000",
"000000010000000000000000000000000000",
"000000000000000000000100000000000000",
"000000001000000000000000000000000000",
"000000000000000000000000100000000000",
"000000000010000000000000000000000000",
"000000000000000000000000000100000000",
"000000000001000000000000000000000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000010000",
"000000000000010000000000000000000000",
"000000000000000000000000000000000010",
"000000000000000000000000000000000001",
"000000000000000100000000000000000000",
"122024201111224211134134104443023041",
"311414040003440230210341000444412004",
"000000000000000001000000000000000000",
"343140433212214431330003044301140302",
"000000000000000000010000000000000000",
"401142113421133121103303411113403422",
"000000000000000000001000000000000000",
"334111303103231004321201103234024144",
"201323023420411124014040131212014240",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000010000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000010000000000000000000000",
"040044004000000000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000001000000000",
"140104000010040000000010000000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000001000",
"000000000000000000000000000000000100",
"104100040010000004000010000000000000",
"131204134423023412112224420032211200",
"223022111004324324104101134341401043",
"201222223431000240421224314432442443",
"113121303231431241042322022342131411",
"043403431440221221202321242313211340",
"443101303440042343141111340004210123",
"233423400014202233342140414120344130",
"010234012440002201202043014141323400",
"444140340442130244102243411410103310",
"304320310021411000310042403222030332",
"211121102342242133323200402310331233",
"402132404222033111102423330023010011",
"033121322232421433130234034300320143"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 3.S7 < GL(36,GF(5))";