/*
www-ATLAS of Group Representations.
6.S7 represented as 12 x 12 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,12,[
"000000321554",
"000000010164",
"000000002535",
"000000302250",
"000000035105",
"000000520263",
"355034000000",
"146366000000",
"223550000000",
"246003000000",
"536162000000",
"462300000000"]);

y:=CambridgeMatrix(1,F,12,[
"000000302250",
"000000035105",
"000000125352",
"000000311321",
"000000553400",
"000000543160",
"246003000000",
"536162000000",
"001560000000",
"614022000000",
"546655000000",
"556312000000"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 6.S7 < GL(12,GF(7))";