/*
www-ATLAS of Group Representations.
U6(2):2 represented as 22 x 22 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0000100000000000000000",
"0000001000000000000000",
"0010000000000000000000",
"0000000001000000000000",
"0001000000000000000000",
"0000000000001000000000",
"0000000000000010000000",
"0000010000000000000000",
"0000000000000000100000",
"3224331032210020300000",
"0000000100000000000000",
"4143132442101110400000",
"0000000010000000000000",
"1434231242303011200000",
"0000000000100000000000",
"3203012104404000110000",
"1411434432001020001000",
"0044141001400000100100",
"3244141411201040300010",
"0000010344002010000001"]);

y:=CambridgeMatrix(1,F,22,[
"0010000000000000000000",
"0001000000000000000000",
"0000010000000000000000",
"0000000100000000000000",
"0000000010000000000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000000100000000",
"0400440040000000000000",
"0000000000000001000000",
"0000000000000000010000",
"0000000000000000001000",
"0000000000000000000100",
"2423020100000300040000",
"0000000000000000000010",
"0133031111040200422430",
"0000000000000000000001",
"3324010100100200040000",
"1133242103323111210002",
"4111444044230421011024",
"1333400444241311032114",
"1234304240102443334122"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is U6(2):2 < GL(22,GF(5))";