/*
www-ATLAS of Group Representations.
M24 represented as 23 x 23 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,23,[
"01000000000000000000000",
"10000000000000000000000",
"00010000000000000000000",
"00100000000000000000000",
"00000100000000000000000",
"00001000000000000000000",
"00000000100000000000000",
"00000000010000000000000",
"00000010000000000000000",
"00000001000000000000000",
"00000000000001000000000",
"00000000000000100000000",
"00000000000000001000000",
"00000000001000000000000",
"00000000000100000000000",
"00000000000000000000100",
"00000000000010000000000",
"00000000000000000000010",
"00000000000000000000001",
"11001132321411441044404",
"00000000000000010000000",
"00000000000000000100000",
"00000000000000000010000"]);

y:=CambridgeMatrix(1,F,23,[
"00100000000000000000000",
"04400000000000000000000",
"12100000000000000000000",
"00001000000000000000000",
"00000010000000000000000",
"00000001000000000000000",
"00010000000000000000000",
"00000000001000000000000",
"00000000000100000000000",
"00000000000010000000000",
"00000100000000000000000",
"00000000000000010000000",
"00000000000000000100000",
"00000000000000000010000",
"00000000000000000001000",
"00000000100000000000000",
"33110242211041031040000",
"00000000010000000000000",
"22441303244214110024000",
"30231014031112240134000",
"23210343414140400001100",
"11232402214342400031010",
"44311432214144020010001"]);

G<x,y>:=MatrixGroup<23,F|x,y>;
print "Group G is M24 < GL(23,GF(5))";