/*
www-ATLAS of Group Representations.
3.A6 represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"100000000000",
"000100000000",
"001000000000",
"000000100000",
"000000001000",
"000010000000",
"414134211000",
"000001000000",
"144123302100",
"414143102010",
"001400000001"]);

y:=CambridgeMatrix(1,F,12,[
"300000000000",
"001000000000",
"000010000000",
"000001000000",
"000000010000",
"000000000100",
"000000000010",
"010000000000",
"000000000001",
"224331010200",
"410040100000",
"134020011000"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 3.A6 < GL(12,GF(5))";