Finite Group Databasebeta

← Group #13088712

Character table — Group #13088712

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444445566888888888888888101010101010101212151515152020202020242424242424303030303030303030303030606090909090
order12233666635666610151530304424101515153030303030303030303030412121212121261288881212121212102030306060248824242424242424246128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-11111111111111111111111-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111111-1-11111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-111111111111111111-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1111111-1-1i−iiiii−i−i−i−i-1-1ii−i−i
χ611111111111111111111-1-111111111111111111-1-1-1-1-1-1-111−i−iii-1-1-1-1-1111111-1-1−ii−i−i−i−iiiii-1-1−i−iii
χ711111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-111i−iiiii−i−i−i−i11−i−iii
χ811111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-111−ii−i−i−i−iiiii11ii−i−i
χ911-111-1-11111-1-1-1111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-111111-11111-111-1-11-111-1-1-11-1-111-1-111-1-1-111-11-1
χ1011-111-1-11111-1-1-1111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11-111-1-1-1111-1-111-1-111-11-11-11
χ1111-111-1-11111-1-1-111111111-11-1111-1-1111-1-1-1-1-1-1-1-1-11111-111111-111-1-1-11-1-1111-1-1-111-1-111-1-11-1-11-11
χ1211-111-1-11111-1-1-111111111-11-1111-1-1111-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-111-1-1-11-1-1111-111-1-111-1-1111-11-11-1
χ1311-111-1-11111-1-1-1111111-1-11-1-1111-1-1111-1-1-1-1-1-1111-1-1-1-11-1ii−i−i1-1-1111-111-1-11-1−iiii−i−i−i−iii1-1i−i−ii
χ1411-111-1-11111-1-1-1111111-1-11-1-1111-1-1111-1-1-1-1-1-1111-1-1-1-11-1−i−iii1-1-1111-111-1-11-1i−i−i−iiiii−i−i1-1−iii−i
χ1511-111-1-11111-1-1-1111111-1-1-11-1111-1-1111-1-1-1-1-1-1111-1-1-1-1-11ii−i−i1-1-111-11-1-111-11−iiii−i−i−i−iii-11−iii−i
χ1611-111-1-11111-1-1-1111111-1-1-11-1111-1-1111-1-1-1-1-1-1111-1-1-1-1-11−i−iii1-1-111-11-1-111-11i−i−i−iiiii−i−i-11i−i−ii
χ172222-1222-1-12-1-1-1-12-1-1-1-1222222-1-1-1-12-1-122-1-1-1-1222-1-122-1-10000-1-1-1-1-122-1-1-1-1220000000000-1-10000
χ182222-1222-1-12-1-1-1-12-1-1-1-122-2-222-1-1-1-12-1-122-1-1-1-1222-1-122110000-1-1-1-1-1-2-21111-2-20000000000110000
χ192222-1222-1-12-1-1-1-12-1-1-1-1-2-22222-1-1-1-12-1-122-1-1-1-1-2-2-211-2-2-1-100001111122-1-1-1-1-2-20000000000110000
χ202222-1222-1-12-1-1-1-12-1-1-1-1-2-2-2-222-1-1-1-12-1-122-1-1-1-1-2-2-211-2-211000011111-2-21111220000000000-1-10000
χ21222-12-1-1-12-122-1-1-12222222002-1-1-122-1-1-1-1-1-1-1-1-12-1-122-1-10022222-1-1-1-10000000022-1-1-1-1-1-1-1-1000000
χ22222-12-1-1-12-122-1-1-12222222002-1-1-122-1-1-1-1-1-1-1-1-12-1-122-1-100-2-2-2-22-1-1-1-100000000-2-211111111000000
χ23222-12-1-1-12-122-1-1-122222-2-2002-1-1-122-1-1-1-1-1-1-1-1-1-211-2-211002i2i−2i−2i-21111000000002i−2i−i−i−i−iiiii000000
χ24222-12-1-1-12-122-1-1-122222-2-2002-1-1-122-1-1-1-1-1-1-1-1-1-211-2-21100−2i−2i2i2i-2111100000000−2i2iiiii−i−i−i−i000000
χ2522-22-1-2-22-1-12111-12-1-1-1-1222-2-22-1-1112-1-1-2-21111-2-2-2-1-122-1100001-1-1112-2-1-111-2200000000001-10000
χ2622-22-1-2-22-1-12111-12-1-1-1-122-22-22-1-1112-1-1-2-21111-2-2-2-1-1221-100001-1-111-2211-1-12-20000000000-110000
χ2722-22-1-2-22-1-12111-12-1-1-1-1-2-22-2-22-1-1112-1-1-2-2111122211-2-2-110000-111-1-12-2-1-1112-20000000000-110000
χ2822-22-1-2-22-1-12111-12-1-1-1-1-2-2-22-22-1-1112-1-1-2-2111122211-2-21-10000-111-1-1-2211-1-1-2200000000001-10000
χ2922-2-1211-12-12-211-1222222200-2-1-1-1-2-2-1-1-1111111-21122-1-1002222-2-1-11100000000-2-2-1-111-1-111000000
χ3022-2-1211-12-12-211-1222222200-2-1-1-1-2-2-1-1-1111111-21122-1-100-2-2-2-2-2-1-111000000002211-1-111-1-1000000
χ3122-2-1211-12-12-211-122222-2-200-2-1-1-1-2-2-1-1-11111112-1-1-2-211002i2i−2i−2i211-1-100000000−2i2i−i−iiiii−i−i000000
χ3222-2-1211-12-12-211-122222-2-200-2-1-1-1-2-2-1-1-11111112-1-1-2-21100−2i−2i2i2i211-1-1000000002i−2iii−i−i−i−iii000000
χ332-202200-2-222000-2-222-2-22i−2i00022200-2-2-20000000002i−2i2i−2i002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10902i−2i0000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900000000
χ342-202200-2-222000-2-222-2-22i−2i00022200-2-2-20000000002i−2i2i−2i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10902i−2i000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000
χ352-202200-2-222000-2-222-2-2−2i2i00022200-2-2-2000000000−2i2i−2i2i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190−2i2i000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000000
χ362-202200-2-222000-2-222-2-2−2i2i00022200-2-2-2000000000−2i2i−2i2i002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190−2i2i0000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900000000
χ372-20-12−i3i31-2-120−i3i31-222-2-22i−2i000-1-1-100111−i3i3−i3−i3i3i303−32i−2i−ii002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090−ii3−30000000000−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000
χ382-20-12−i3i31-2-120−i3i31-222-2-22i−2i000-1-1-100111−i3i3−i3−i3i3i303−32i−2i−ii00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090−ii3−30000000000ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000
χ392-20-12−i3i31-2-120−i3i31-222-2-2−2i2i000-1-1-100111−i3i3−i3−i3i3i30−33−2i2ii−i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190i−i−330000000000ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000
χ402-20-12−i3i31-2-120−i3i31-222-2-2−2i2i000-1-1-100111−i3i3−i3−i3i3i30−33−2i2ii−i002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190i−i−330000000000−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000
χ412-20-12i3−i31-2-120i3−i31-222-2-22i−2i000-1-1-100111i3−i3i3i3−i3−i30−332i−2i−ii002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090−ii−330000000000−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000
χ422-20-12i3−i31-2-120i3−i31-222-2-22i−2i000-1-1-100111i3−i3i3i3−i3−i30−332i−2i−ii00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090−ii−330000000000ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000
χ432-20-12i3−i31-2-120i3−i31-222-2-2−2i2i000-1-1-100111i3−i3i3i3−i3−i303−3−2i2ii−i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190i−i3−30000000000ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000
χ442-20-12i3−i31-2-120i3−i31-222-2-2−2i2i000-1-1-100111i3−i3i3i3−i3−i303−3−2i2ii−i002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190i−i3−30000000000−ζ13−ζ29−ζ37−ζ53−ζ61−ζ77−ζ101−ζ109ζ13+ζ29+ζ37+ζ53+ζ61+ζ77+ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ7+ζ23+ζ31+ζ47+ζ71+ζ79+ζ103+ζ119−ζ7−ζ23−ζ31−ζ47−ζ71−ζ79−ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000
χ454444444444-14444-1-1-1-1-10044-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000044000000000-1-1-1-1-1-1000000000000000000
χ464444444444-14444-1-1-1-1-100-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-4-4000000000111111000000000000000000
χ474444-2444-2-2-1-2-2-2-2-11−i1521+i1521−i1521+i1520044-1-11−i1521+i1521−i1521+i152-11−i1521+i152-1-11−i1521+i1521−i1521+i1520000000-2-2000000000-1-11−i1521+i1521−i1521+i152000000000000000000
χ484444-2444-2-2-1-2-2-2-2-11−i1521+i1521−i1521+i15200-4-4-1-11−i1521+i1521−i1521+i152-11−i1521+i152-1-11−i1521+i1521−i1521+i15200000002200000000011−1+i152−1−i152−1+i152−1−i152000000000000000000
χ494444-2444-2-2-1-2-2-2-2-11+i1521−i1521+i1521−i1520044-1-11+i1521−i1521+i1521−i152-11+i1521−i152-1-11+i1521−i1521+i1521−i1520000000-2-2000000000-1-11+i1521−i1521+i1521−i152000000000000000000
χ504444-2444-2-2-1-2-2-2-2-11+i1521−i1521+i1521−i15200-4-4-1-11+i1521−i1521+i1521−i152-11+i1521−i152-1-11+i1521−i1521+i1521−i15200000002200000000011−1−i152−1+i152−1−i152−1+i152000000000000000000
χ51444-2-2-2-2-2-214-21114-2-2-2-244004-211-2-2-211-2-211114-2-2-2-2-2-2000000-21111000000000000000000000000
χ52444-2-2-2-2-2-214-21114-2-2-2-2-4-4004-211-2-2-211-2-21111-42222220000002-1-1-1-1000000000000000000000000
χ5344-444-4-4444-1-4-4-44-1-1-1-1-1004-41-1-1-111-1-1-111111100000004-4000000000-11-1-111000000000000000000
χ5444-444-4-4444-1-4-4-44-1-1-1-1-100-441-1-1-111-1-1-11111110000000-440000000001-111-1-1000000000000000000
χ5544-44-2-4-44-2-2-1222-2-11−i1521+i1521−i1521+i152004-41-11−i1521+i152−1+i152−1−i152-11−i1521+i15211−1+i152−1−i152−1+i152−1−i1520000000-22000000000-111−i1521+i152−1+i152−1−i152000000000000000000
χ5644-44-2-4-44-2-2-1222-2-11−i1521+i1521−i1521+i15200-441-11−i1521+i152−1+i152−1−i152-11−i1521+i15211−1+i152−1−i152−1+i152−1−i15200000002-20000000001-1−1+i152−1−i1521−i1521+i152000000000000000000
χ5744-44-2-4-44-2-2-1222-2-11+i1521−i1521+i1521−i152004-41-11+i1521−i152−1−i152−1+i152-11+i1521−i15211−1−i152−1+i152−1−i152−1+i1520000000-22000000000-111+i1521−i152−1−i152−1+i152000000000000000000
χ5844-44-2-4-44-2-2-1222-2-11+i1521−i1521+i1521−i15200-441-11+i1521−i152−1−i152−1+i152-11+i1521−i15211−1−i152−1+i152−1−i152−1+i15200000002-20000000001-1−1−i152−1+i1521+i1521−i152000000000000000000
χ5944-4-2-222-2-2142-1-114-2-2-2-24400-4-21122-21122-1-1-1-1-422-2-2-2-2000000211-1-1000000000000000000000000
χ6044-4-2-222-2-2142-1-114-2-2-2-2-4-400-4-21122-21122-1-1-1-14-2-22222000000-2-1-111000000000000000000000000
χ614-404-200-42-240002-4-2-2224i−4i0004-2-200-422000000000−2i2i4i−4i0000000−2i2i00000000000000000000000000
χ624-404-200-42-240002-4-2-222−4i4i0004-2-200-4220000000002i−2i−4i4i00000002i−2i00000000000000000000000000
χ634-40-2-2−2i32i322140i3−i3-1-4-2-2224i−4i000-211002-1-1−2i32i3i3i3−i3−i3023−23−2i2i−2i2i0000000i−i−33000000000000000000000000
χ644-40-2-2−2i32i322140i3−i3-1-4-2-222−4i4i000-211002-1-1−2i32i3i3i3−i3−i30−23232i−2i2i−2i0000000−ii3−3000000000000000000000000
χ654-40-2-22i3−2i322140−i3i3-1-4-2-2224i−4i000-211002-1-12i3−2i3−i3−i3i3i30−2323−2i2i−2i2i0000000i−i3−3000000000000000000000000
χ664-40-2-22i3−2i322140−i3i3-1-4-2-222−4i4i000-211002-1-12i3−2i3−i3−i3i3i3023−232i−2i2i−2i0000000−ii−33000000000000000000000000
χ67888-48-4-4-48-4-28-4-4-4-2-2-2-2-20000-2111-2-2111111111000000000000000000000000000000000000000000
χ68888-4-4-4-4-4-42-2-4222-21−i151+i151−i151+i150000-21−1+i152−1−i1521−i151+i151−1+i152−1−i15211−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000000000000
χ69888-4-4-4-4-4-42-2-4222-21+i151−i151+i151−i150000-21−1−i152−1+i1521+i151−i151−1−i152−1+i15211−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000000000000
χ7088-8-4844-48-4-2-844-4-2-2-2-2-20000211122111-1-1-1-1-1-1000000000000000000000000000000000000000000
χ7188-8-4-444-4-42-24-2-22-21−i151+i151−i151+i15000021−1+i152−1−i152−1+i15−1−i151−1+i152−1−i152-1-11−i1521+i1521−i1521+i152000000000000000000000000000000000000000000
χ7288-8-4-444-4-42-24-2-22-21+i151−i151+i151−i15000021−1−i152−1+i152−1−i15−1+i151−1−i152−1+i152-1-11+i1521−i1521+i1521−i152000000000000000000000000000000000000000000
χ738-808800-8-88-2000-82-2-22200000-2-2-200222000000000000000000000000000000000000000000000000
χ748-808-400-84-4-2000421−i151+i15−1+i15−1−i1500000-21−i151+i15002−1+i15−1−i15000000000000000000000000000000000000000000000000
χ758-808-400-84-4-2000421+i151−i15−1−i15−1+i1500000-21+i151−i15002−1−i15−1+i15000000000000000000000000000000000000000000000000
χ768-80-48−4i34i34-8-4-20−4i34i342-2-2220000011100-1-1-1i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ778-80-484i3−4i34-8-4-204i3−4i342-2-2220000011100-1-1-1−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ788-80-4-4−4i34i3442-202i3−2i3-221−i151+i15−1+i15−1−i15000001−1+i152−1−i15200-11−i1521+i152i3−i3−2ζ4+ζ28−ζ44+ζ52+2ζ68−2ζ76+2ζ92−ζ116ζ4−2ζ28+2ζ44−2ζ52−ζ68+ζ76−ζ92+2ζ1162ζ4−ζ28+ζ44−ζ52−2ζ68+2ζ76−2ζ92+ζ116−ζ4+2ζ28−2ζ44+2ζ52+ζ68−ζ76+ζ92−2ζ116000000000000000000000000000000000000000000
χ798-80-4-4−4i34i3442-202i3−2i3-221+i151−i15−1−i15−1+i15000001−1−i152−1+i15200-11+i1521−i152i3−i3ζ4−2ζ28+2ζ44−2ζ52−ζ68+ζ76−ζ92+2ζ116−2ζ4+ζ28−ζ44+ζ52+2ζ68−2ζ76+2ζ92−ζ116−ζ4+2ζ28−2ζ44+2ζ52+ζ68−ζ76+ζ92−2ζ1162ζ4−ζ28+ζ44−ζ52−2ζ68+2ζ76−2ζ92+ζ116000000000000000000000000000000000000000000
χ808-80-4-44i3−4i3442-20−2i32i3-221−i151+i15−1+i15−1−i15000001−1+i152−1−i15200-11−i1521+i152−i3i32ζ4−ζ28+ζ44−ζ52−2ζ68+2ζ76−2ζ92+ζ116−ζ4+2ζ28−2ζ44+2ζ52+ζ68−ζ76+ζ92−2ζ116−2ζ4+ζ28−ζ44+ζ52+2ζ68−2ζ76+2ζ92−ζ116ζ4−2ζ28+2ζ44−2ζ52−ζ68+ζ76−ζ92+2ζ116000000000000000000000000000000000000000000
χ818-80-4-44i3−4i3442-20−2i32i3-221+i151−i15−1−i15−1+i15000001−1−i152−1+i15200-11+i1521−i152−i3i3−ζ4+2ζ28−2ζ44+2ζ52+ζ68−ζ76+ζ92−2ζ1162ζ4−ζ28+ζ44−ζ52−2ζ68+2ζ76−2ζ92+ζ116ζ4−2ζ28+2ζ44−2ζ52−ζ68+ζ76−ζ92+2ζ116−2ζ4+ζ28−ζ44+ζ52+2ζ68−2ζ76+2ζ92−ζ116000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.