/*
www-ATLAS of Group Representations.
6.A7 represented as 12 x 12 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,12,[
"010000000000",
"444000000000",
"001000000000",
"000001000000",
"000000010000",
"000000000100",
"000000000001",
"032330103331",
"101400404442",
"000100000000",
"003134100223",
"034220023224"]);

y:=CambridgeMatrix(1,F,12,[
"001000000000",
"000100000000",
"000010000000",
"000000100000",
"000000001000",
"000000000010",
"232334410042",
"002002021000",
"120212410024",
"134304102141",
"332441011001",
"330200334030"]);

G<x,y>:=MatrixGroup<12,F|x,y>;
print "Group G is 6.A7 < GL(12,GF(5))";