/*
www-ATLAS of Group Representations.
2.L3(4) represented as 26 x 26 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,26,[
"01000000000000000000000000",
"10000000000000000000000000",
"00010000000000000000000000",
"00100000000000000000000000",
"00000010000000000000000000",
"00000001000000000000000000",
"00001000000000000000000000",
"00000100000000000000000000",
"00000000000100000000000000",
"00000000000001000000000000",
"00000000000000010000000000",
"00000000100000000000000000",
"00000000000000000010000000",
"00000000010000000000000000",
"00000000000000000000100000",
"00000000001000000000000000",
"00000000000000000000000100",
"00000000000000000000000001",
"00000000000010000000000000",
"65020124123615013321066404",
"00000000000000100000000000",
"04110520004000000030006000",
"40112005000030040000060000",
"00000000000000001000000000",
"63015432626125130430633013",
"00000000000000000100000000"]);

y:=CambridgeMatrix(1,F,26,[
"43000000000000000000000000",
"00100000000000000000000000",
"00001000000000000000000000",
"00000100000000000000000000",
"66503000000000000000000000",
"00000000100000000000000000",
"00000000010000000000000000",
"00000000001000000000000000",
"00000000000010000000000000",
"00000000000000100000000000",
"00000000000000001000000000",
"00000000000000000100000000",
"00010000000000000000000000",
"00000000000000000001000000",
"00000000000000000000010000",
"00000000000000000000001000",
"00000000000000000000000010",
"25306000200000400000500000",
"33220366464605001101410530",
"36563266051550441544454521",
"65013355206466551452456504",
"00000010000000000000000000",
"16556160160262300466226415",
"33112065420214342623115662",
"00000001000000000000000000",
"06112141303406022465650603"]);

G<x,y>:=MatrixGroup<26,F|x,y>;
print "Group G is 2.L3(4) < GL(26,GF(7))";