/* www-ATLAS of Group Representations. TD4(2).3 represented as 26 x 26 matrices over GF(7). */ F:=GF(7); x:=CambridgeMatrix(1,F,26,[ "01000000000000000000000000", "10000000000000000000000000", "00010000000000000000000000", "00100000000000000000000000", "00000100000000000000000000", "00001000000000000000000000", "00000000100000000000000000", "00000000010000000000000000", "00000010000000000000000000", "00000001000000000000000000", "00000000000001000000000000", "00000000000000100000000000", "00000000000000001000000000", "00000000001000000000000000", "00000000000100000000000000", "00000000000000000000100000", "00000000000010000000000000", "00000000000000000000001000", "00000000000000000000000100", "00000000000000000000000001", "00000000000000010000000000", "61432561162445323322514505", "00000000000000000100000000", "00000000000000000010000000", "00612561164043053160206110", "00000000000000000001000000"]); y:=CambridgeMatrix(1,F,26,[ "65000000000000000000000000", "00100000000000000000000000", "66100000000000000000000000", "00001000000000000000000000", "00000010000000000000000000", "00000001000000000000000000", "00010000000000000000000000", "00000000001000000000000000", "00000000000100000000000000", "00000000000010000000000000", "00000100000000000000000000", "00000000000000010000000000", "00000000000000000100000000", "00000000000000000010000000", "00000000000000000001000000", "00000000100000000000000000", "00000000000000000000010000", "00000000010000000000000000", "00000000000000000000000010", "02146232445224056100446411", "02041402261523122402560541", "32423101444065236344216110", "22433100660234405305435112", "65450160061124010352433253", "00000000000001000000000000", "22454050542214021321264430"]); G:=MatrixGroup<26,F|x,y>; print "Group G is TD4(2).3 < GL(26,GF(7))";