/*
www-ATLAS of Group Representations.
S8(2) represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000100000000000000000000000000",
"00001000000000000000000000000000000",
"00000000000100000000000000000000000",
"00000100000000000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000001000000000000000000000000000",
"00000000000000000010000000000000000",
"00000000010000000000000000000000000",
"00000000000000000000010000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000010000000000000000000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000001000",
"00000000000000100000000000000000000",
"04441422224324204204043230121331320",
"20240320224422202302430321143223340",
"00000000000000001000000000000000000",
"21221333341131220204100442012413303",
"00000000000000000100000000000000000",
"40103442201043201223213343301012121",
"40433420230134202312000044132320223",
"00000000000000000001000000000000000",
"31311330131344430014424222011141241",
"00000000000000000000100000000000000",
"30344243403322324300411034132443204",
"10343444023132230303423330434020240",
"10031144333020322443200021224233333"]);

y:=CambridgeMatrix(1,F,35,[
"13000000000000000000000000000000000",
"00100000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"04404004000000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000100000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000010",
"00010000000000000000000000000000000",
"00000000000000000000000000000000001",
"12223444002014033041141214140320420",
"31240310304014414411340103123042011",
"00210132003310141442142004221020022",
"00142232214204333013030404201021410",
"10311010433342114231103434320231000",
"24021201300034423302111410023144041",
"33223332244223141123014430300020202",
"11422322444210402014442001142231343",
"12132414312121421410014330000303020",
"33132220113242222121203241313000322",
"31313232310020410304312300030032243"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is S8(2) < GL(35,GF(5))";