/*
www-ATLAS of Group Representations.
2.S7 represented as 28 x 28 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,28,[
"0100000000000000000000000000",
"1000000000000000000000000000",
"0001000000000000000000000000",
"0010000000000000000000000000",
"0000001000000000000000000000",
"0000000010000000000000000000",
"0000100000000000000000000000",
"0000000000010000000000000000",
"0000010000000000000000000000",
"0000000000000010000000000000",
"0000000000000000100000000000",
"0000000100000000000000000000",
"0000000000000000000100000000",
"0000000000000000000010000000",
"0000000001000000000000000000",
"0000000000000000000000010000",
"0000000000100000000000000000",
"0000000000000000000000000010",
"3630114465254244251530010530",
"0000000000001000000000000000",
"0000000000000100000000000000",
"4332203443306262050351221553",
"1526146463442643534236136412",
"0000000000000001000000000000",
"1033552266245112313541062325",
"1155606101211616240160060640",
"0000000000000000010000000000",
"2246060323404240341435112153"]);

y:=CambridgeMatrix(1,F,28,[
"5300000000000000000000000000",
"0010000000000000000000000000",
"0000100000000000000000000000",
"0000010000000000000000000000",
"0000000100000000000000000000",
"0000000001000000000000000000",
"0000000000100000000000000000",
"0000000000001000000000000000",
"0000000000000100000000000000",
"0000000000000001000000000000",
"0000000000000000010000000000",
"0000000000000000001000000000",
"4450100300002000000000000000",
"0000000000000000000001000000",
"0000000000000000000000100000",
"0000000000000000000000001000",
"0000000000000000000000000100",
"5312445353535415616011115310",
"0000000000000000000000000001",
"5216214546342455353520405213",
"2255205034215104321414002304",
"1501232320554561100602213154",
"1421300505304663240364302165",
"5554450521314131645664014536",
"4313553543632465346425651260",
"6303641233106416034132511361",
"5166565322006415143042001343",
"0451245131432001632635521310"]);

G<x,y>:=MatrixGroup<28,F|x,y>;
print "Group G is 2.S7 < GL(28,GF(7))";