/*
www-ATLAS of Group Representations.
L2(8).3 represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"600000000000000000000",
"001000000000000000000",
"010000000000000000000",
"000001000000000000000",
"000000100000000000000",
"000100000000000000000",
"000010000000000000000",
"000000001000000000000",
"000000010000000000000",
"000000000001000000000",
"000000000000100000000",
"000000000100000000000",
"000000000010000000000",
"000000000000000100000",
"000000000000000010000",
"000000000000010000000",
"000000000000001000000",
"000000000000000000100",
"000000000000000001000",
"000000000000000000060",
"000000000000000000006"]);

y:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"000100000000000000000",
"000010000000000000000",
"100000000000000000000",
"000000100000000000000",
"000000010000000000000",
"001000000000000000000",
"000000000100000000000",
"000000000010000000000",
"000001000000000000000",
"000000000000010000000",
"000000000000001000000",
"000000000006000000000",
"000000001000000000000",
"000000000000600000000",
"001006106006016066011",
"000000000000000000100",
"601106100060116000610",
"001016160606106060600",
"600166116000010600011",
"000000000000000100000"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is L2(8).3 < GL(21,GF(7))";