/*
www-ATLAS of Group Representations.
2.Fi22 represented as 176 x 176 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,176,[
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"12101120001100122021010201202102211201201121120111001012001100011211021222200212110020001102020210122111120112000100211201002211101202000112011002221101200011201200122100011212",
"21220102000011221010122202112111201222222212000100222200002022221201222112101221120112120221020112122112011010122022122211220020000020110021101120201121022220010211121010021100",
"11222121010020221110012122120202021010201011110001001020221220110021112101110112122102021011201120010001221100021210121121221001020221202221111001011212001212111120222001101121",
"12012020211211000101011120020121211200112202020010011200111200010100021122202000220001211020220100101212021202022212100220100021100101120201211120120210000022101212020121011201",
"22111221122110220021100210012112021100020110211202112100211020120010022212210120010011100120111201011221000120110221010021122100110120012122112200002201002201110100201010121002"]);

G<x,y>:=MatrixGroup<176,F|x,y>;
print "Group G is 2.Fi22 < GL(176,GF(3))";