/*
www-ATLAS of Group Representations.
U6(2):2 represented as 22 x 22 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,22,[
"0100000000000000000000",
"1000000000000000000000",
"0001000000000000000000",
"0010000000000000000000",
"0000001000000000000000",
"0000000010000000000000",
"0000100000000000000000",
"1600000100000000000000",
"0000010000000000000000",
"0000000001000000000000",
"0000000000000010000000",
"6161000000010000000000",
"0000000000000000100000",
"0000000000000000001000",
"0000000000100000000000",
"0000601000000001000000",
"0000000000001000000000",
"0016000000601010610000",
"0000000000000100000000",
"0000000000000000000100",
"0061060010106060100010",
"0000000000000000000001"]);

y:=CambridgeMatrix(1,F,22,[
"6000000000000000000000",
"0010000000000000000000",
"0000100000000000000000",
"0000010000000000000000",
"0000000100000000000000",
"0000000001000000000000",
"0000000000100000000000",
"0000000000010000000000",
"0000000000001000000000",
"0000000000000100000000",
"0000000000000001000000",
"5160100600010000000000",
"0000000000000000010000",
"0000000000000000000100",
"0000000000000000000010",
"6060001060016000060000",
"0000000000000000000001",
"6161001601116001060100",
"0162161611205161161116",
"0001060001000600000100",
"2406442030125245222660",
"6101100001010000600106"]);

G<x,y>:=MatrixGroup<22,F|x,y>;
print "Group G is U6(2):2 < GL(22,GF(7))";