/*
www-ATLAS of Group Representations.
SL2(7) represented as 12 x 12 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"200000000000",
"100200000000",
"011000000000",
"000000100000",
"000000010000",
"000020000000",
"000002000000",
"000000000010",
"000000000001",
"000000002000",
"000000000200"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000010000000",
"000001000000",
"100000000000",
"010000000000",
"000000001000",
"000000000100",
"121002122110",
"110110112201",
"020012112012",
"100011210211"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is SL2(7) < GL(12,GF(3))";