/*
www-ATLAS of Group Representations.
TF4(2)' represented as 27 x 27 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,27,[
"010000000000000000000000000",
"100000000000000000000000000",
"000100000000000000000000000",
"001000000000000000000000000",
"000001000000000000000000000",
"000010000000000000000000000",
"000000001000000000000000000",
"000000000100000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000000000000010000000000000",
"000000000000001000000000000",
"000000000000000010000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000000000001000000",
"000000000000100000000000000",
"000000000000000000000010000",
"414141000001004000100000000",
"320432303041342434444040000",
"000000000000000100000000000",
"322104040432233121401410000",
"000000000000000001000000000",
"203142444443040402304024000",
"200303020224021302303020400",
"331100404040040004000040040",
"410224000004002001200010004"]);

y:=CambridgeMatrix(1,F,27,[
"001000000000000000000000000",
"044000000000000000000000000",
"121000000000000000000000000",
"000010000000000000000000000",
"000000100000000000000000000",
"000000010000000000000000000",
"000100000000000000000000000",
"000000000010000000000000000",
"000000000001000000000000000",
"000000000000100000000000000",
"000001000000000000000000000",
"000000000000000100000000000",
"000000000000000001000000000",
"000000000000000000100000000",
"000000000000000000010000000",
"000000001000000000000000000",
"000000000000000000000100000",
"000000000100000000000000000",
"000000000000000000000001000",
"000000000000000000000000100",
"000000000000000000000000010",
"010014000422030311301011200",
"011003412400143310200402040",
"000000000000010000000000000",
"000000000000001000000000000",
"000000000000000000000000001",
"000000000000000000001000000"]);

G<x,y>:=MatrixGroup<27,F|x,y>;
print "Group G is TF4(2)' < GL(27,GF(5))";