/*
www-ATLAS of Group Representations.
M22:2 represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"600000000000000000000",
"001000000000000000000",
"010000000000000000000",
"000010000000000000000",
"000100000000000000000",
"000000010000000000000",
"000000000100000000000",
"000001000000000000000",
"000000000000100000000",
"000000100000000000000",
"000000000000001000000",
"016610000061001000000",
"000000001000000000000",
"016000000060011000000",
"000000000010000000000",
"016000000000000100000",
"216006010000000010000",
"016000000000000001000",
"016610101660601000100",
"000000000000000000010",
"200006010010006000001"]);

y:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000100000000000000000",
"000001000000000000000",
"000000100000000000000",
"000000001000000000000",
"000000000010000000000",
"000000000001000000000",
"001000000000000000000",
"000000000000010000000",
"000000000000000100000",
"000000000000000010000",
"000000000000000001000",
"000000000000000000100",
"000000000000000000010",
"000010000000000000000",
"551101061006000060000",
"000000000000000000001",
"660201666106110100606",
"116610000061001010000",
"006511112560600661201"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is M22:2 < GL(21,GF(7))";