/*
www-ATLAS of Group Representations.
3.U6(2) represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"100000000000000000000",
"360000000000000000000",
"000000100000000000000",
"000100000000000000000",
"000000001000000000000",
"000000000100000000000",
"001000000000000000000",
"000500060000000000000",
"000010000000000000000",
"000001000000000000000",
"600006000660000000000",
"000600000006000000000",
"000660006000600000000",
"606000600000060000000",
"504665406500006000000",
"400200000000000600000",
"400200000000000060000",
"600000000000000006000",
"006600600000000000600",
"602206200600000000060",
"600000000000000000006"]);

y:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"000010000000000000000",
"000001000000000000000",
"100000000000000000000",
"001000000000000000000",
"000000010000000000000",
"000000000010000000000",
"000100000000000000000",
"000000000000010000000",
"000000000000000010000",
"000000000000000000010",
"000000000000000000001",
"000000100000000000000",
"544446154642345241633",
"440444340044420655104",
"000000001000000000000",
"002134435523051330153",
"041625350336165311136",
"000000000100000000000",
"000000000001000000000",
"462435506150300114516"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is 3.U6(2) < GL(21,GF(7))";