Finite Group Databasebeta

← Group #13088699

Character table — Group #13088699

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222444444444445566888888888888888101010101010101212151515152020202020242424242424303030303030303030303030606090909090
order12334661212356101212121515303044441515152030303060606060606060602661212121212128888666121220206060606022882424242424242424668888
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
χ91111-111-1-11111-1-1-11111111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1111-111-1-11-1-1-111-1-111-1-11-11-11-1
χ101111-111-1-11111-1-1-11111111-1111-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-111-1-11-111-1-111-1-1111-1-11-11
χ111111-111-1-11111-1-1-1111111-11111-1111-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-111-11-1-111-11-1-111-1-111-1-1-11-11-11
χ121111-111-1-11111-1-1-1111111-11111-1111-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-111-11-1-111-1111-1-111-1-111-111-11-1
χ131111-111-1-11111-1-1-11111-1-11-1111-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1ii−i−i111-1-11-111-1-1-11−iiii−i−i−i−iii-11i−i−ii
χ141111-111-1-11111-1-1-11111-1-11-1111-1111-1-1-1-1-1-1-1-1111-1-1-1-11-1−i−iii111-1-11-111-1-1-11i−i−i−iiiii−i−i-11−iii−i
χ151111-111-1-11111-1-1-11111-1-1-11111-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11ii−i−i111-1-1-11-1-1111-1−iiii−i−i−i−iii1-1−iii−i
χ161111-111-1-11111-1-1-11111-1-1-11111-1111-1-1-1-1-1-1-1-1111-1-1-1-1-11−i−iii111-1-1-11-1-1111-1i−i−i−iiiii−i−i1-1i−i−ii
χ17222-122-122-12-12-1-1-1-1-1-1-122222-1-122-1-1-1-122-1-1-1-1222-1-122-1-10000-1-1-1-1-122-1-1-1-1220000000000-1-10000
χ18222-122-122-12-12-1-1-1-1-1-1-122-2-22-1-122-1-1-1-122-1-1-1-1222-1-122110000-1-1-1-1-1-2-21111-2-20000000000110000
χ19222-122-122-12-12-1-1-1-1-1-1-1-2-2222-1-122-1-1-1-122-1-1-1-1-2-2-211-2-2-1-100001111122-1-1-1-1-2-20000000000110000
χ20222-122-122-12-12-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-122-1-1-1-1-2-2-211-2-211000011111-2-21111220000000000-1-10000
χ21222-1-22-1-2-2-12-12111-1-1-1-1222-22-1-1-22-1-111-2-21111-2-2-2-1-122-110000111-1-12-2-1-1112-20000000000-110000
χ22222-1-22-1-2-2-12-12111-1-1-1-122-222-1-1-22-1-111-2-21111-2-2-2-1-1221-10000111-1-1-2211-1-1-2200000000001-10000
χ23222-1-22-1-2-2-12-12111-1-1-1-1-2-22-22-1-1-22-1-111-2-2111122211-2-2-110000-1-1-1112-2-1-111-2200000000001-10000
χ24222-1-22-1-2-2-12-12111-1-1-1-1-2-2-222-1-1-22-1-111-2-2111122211-2-21-10000-1-1-111-2211-1-12-20000000000-110000
χ2522-122-12-1-1-12-122-1-122222200-1-1-12-1-1-122-1-1-1-1-1-12-1-122-1-10022222-1-1-1-10000000022-1-1-1-1-1-1-1-1000000
χ2622-122-12-1-1-12-122-1-122222200-1-1-12-1-1-122-1-1-1-1-1-12-1-122-1-100-2-2-2-22-1-1-1-100000000-2-211111111000000
χ2722-122-12-1-1-12-122-1-12222-2-200-1-1-12-1-1-122-1-1-1-1-1-1-211-2-211002i2i−2i−2i-21111000000002i−2i−i−i−i−iiiii000000
χ2822-122-12-1-1-12-122-1-12222-2-200-1-1-12-1-1-122-1-1-1-1-1-1-211-2-21100−2i−2i2i2i-2111100000000−2i2iiiii−i−i−i−i000000
χ2922-12-2-1211-12-12-21122222200-1-1-1-2-1-1-1-2-2111111-21122-1-1002222-211-1-100000000-2-2-1-111-1-111000000
χ3022-12-2-1211-12-12-21122222200-1-1-1-2-1-1-1-2-2111111-21122-1-100-2-2-2-2-211-1-1000000002211-1-111-1-1000000
χ3122-12-2-1211-12-12-2112222-2-200-1-1-1-2-1-1-1-2-21111112-1-1-2-211002i2i−2i−2i2-1-11100000000−2i2i−i−iiiii−i−i000000
χ3222-12-2-1211-12-12-2112222-2-200-1-1-1-2-1-1-1-2-21111112-1-1-2-21100−2i−2i2i2i2-1-111000000002i−2iii−i−i−i−iii000000
χ332-2220-2-20022-2-200022-2-22i−2i002220-2-2-2000000000002i−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+2ζ1090002i−2i00000000002ζ7+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
χ342-2220-2-20022-2-200022-2-22i−2i002220-2-2-2000000000002i−2i2i−2i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090002i−2i0000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000
χ352-2220-2-20022-2-200022-2-2−2i2i002220-2-2-200000000000−2i2i−2i2i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000−2i2i0000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000000
χ362-2220-2-20022-2-200022-2-2−2i2i002220-2-2-200000000000−2i2i−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+2ζ119000−2i2i00000000002ζ13+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
χ372-2-1201-23−3-121-203−322-2-22i−2i00-1-1-10111003−333−3−30−i3i32i−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−i3i3−ii0000000000−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−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+ζ119000000
χ382-2-1201-23−3-121-203−322-2-22i−2i00-1-1-10111003−333−3−30−i3i32i−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−i3i3−ii0000000000ζ7+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+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−ζ119000000
χ392-2-1201-23−3-121-203−322-2-2−2i2i00-1-1-10111003−333−3−30i3−i3−2i2ii−i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190i3−i3i−i0000000000ζ13+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+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−ζ109000000
χ402-2-1201-23−3-121-203−322-2-2−2i2i00-1-1-10111003−333−3−30i3−i3−2i2ii−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+2ζ1190i3−i3i−i0000000000−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−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+ζ109000000
χ412-2-1201-2−33-121-20−3322-2-22i−2i00-1-1-1011100−33−3−3330i3−i32i−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+2ζ1090i3−i3−ii0000000000−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+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−ζ119000000
χ422-2-1201-2−33-121-20−3322-2-22i−2i00-1-1-1011100−33−3−3330i3−i32i−2i−ii00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090i3−i3−ii0000000000ζ7+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−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+ζ119000000
χ432-2-1201-2−33-121-20−3322-2-2−2i2i00-1-1-1011100−33−3−3330−i3i3−2i2ii−i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190−i3i3i−i0000000000ζ13+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−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+ζ109000000
χ442-2-1201-2−33-121-20−3322-2-2−2i2i00-1-1-1011100−33−3−3330−i3i3−2i2ii−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+2ζ1190−i3i3i−i0000000000−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+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−ζ109000000
χ454444444444-14-1444-1-1-1-10044-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000044000000000-1-1-1-1-1-1000000000000000000
χ464444444444-14-1444-1-1-1-100-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-4-4000000000111111000000000000000000
χ474444-444-4-44-14-1-4-4-4-1-1-1-1004-4-1-1-11-1-1-11111111100000004-4000000000-11-1-111000000000000000000
χ484444-444-4-44-14-1-4-4-4-1-1-1-100-44-1-1-11-1-1-1111111110000000-440000000001-111-1-1000000000000000000
χ49444-244-244-2-1-2-1-2-2-21−i1521+i1521−i1521+i1520044-11−i1521+i152-1-11−i1521+i1521−i1521+i152-1-11−i1521+i1521−i1521+i1520000000-2-2000000000-1-11−i1521+i1521−i1521+i152000000000000000000
χ50444-244-244-2-1-2-1-2-2-21−i1521+i1521−i1521+i15200-4-4-11−i1521+i152-1-11−i1521+i1521−i1521+i152-1-11−i1521+i1521−i1521+i15200000002200000000011−1+i152−1−i152−1+i152−1−i152000000000000000000
χ51444-244-244-2-1-2-1-2-2-21+i1521−i1521+i1521−i1520044-11+i1521−i152-1-11+i1521−i1521+i1521−i152-1-11+i1521−i1521+i1521−i1520000000-2-2000000000-1-11+i1521−i1521+i1521−i152000000000000000000
χ52444-244-244-2-1-2-1-2-2-21+i1521−i1521+i1521−i15200-4-4-11+i1521−i152-1-11+i1521−i1521+i1521−i152-1-11+i1521−i1521+i1521−i15200000002200000000011−1−i152−1+i152−1−i152−1+i152000000000000000000
χ53444-2-44-2-4-4-2-1-2-12221−i1521+i1521−i1521+i152004-4-11−i1521+i1521-11−i1521+i152−1+i152−1−i15211−1+i152−1−i152−1+i152−1−i1520000000-22000000000-111−i1521+i152−1+i152−1−i152000000000000000000
χ54444-2-44-2-4-4-2-1-2-12221−i1521+i1521−i1521+i15200-44-11−i1521+i1521-11−i1521+i152−1+i152−1−i15211−1+i152−1−i152−1+i152−1−i15200000002-20000000001-1−1+i152−1−i1521−i1521+i152000000000000000000
χ55444-2-44-2-4-4-2-1-2-12221+i1521−i1521+i1521−i152004-4-11+i1521−i1521-11+i1521−i152−1−i152−1+i15211−1−i152−1+i152−1−i152−1+i1520000000-22000000000-111+i1521−i152−1−i152−1+i152000000000000000000
χ56444-2-44-2-4-4-2-1-2-12221+i1521−i1521+i1521−i15200-44-11+i1521−i1521-11+i1521−i152−1−i152−1+i15211−1−i152−1+i152−1−i152−1+i15200000002-20000000001-1−1−i152−1+i1521+i1521−i152000000000000000000
χ5744-2-24-2-2-2-21414-211-2-2-2-24400-2114-211-2-2-2-211114-2-2-2-2-2-2000000-21111000000000000000000000000
χ5844-2-24-2-2-2-21414-211-2-2-2-2-4-400-2114-211-2-2-2-21111-42222220000002-1-1-1-1000000000000000000000000
χ5944-2-2-4-2-22214142-1-1-2-2-2-24400-211-4-2112222-1-1-1-1-422-2-2-2-20000002-1-111000000000000000000000000
χ6044-2-2-4-2-22214142-1-1-2-2-2-2-4-400-211-4-2112222-1-1-1-14-2-22222000000-211-1-1000000000000000000000000
χ614-44-20-4200-242-4000-2-2224i−4i004-2-20-42200000000000−2i2i4i−4i000000000−2i2i000000000000000000000000
χ624-44-20-4200-242-4000-2-222−4i4i004-2-20-422000000000002i−2i−4i4i0000000002i−2i000000000000000000000000
χ634-4-2-202223−2314-1-40−33-2-2224i−4i00-21102-1-10023−23−3−3330−2i32i3−2i2i−2i2i0000000i3−i3i−i000000000000000000000000
χ644-4-2-202223−2314-1-40−33-2-222−4i4i00-21102-1-10023−23−3−33302i3−2i32i−2i2i−2i0000000−i3i3−ii000000000000000000000000
χ654-4-2-2022−232314-1-403−3-2-2224i−4i00-21102-1-100−232333−3−302i3−2i3−2i2i−2i2i0000000−i3i3i−i000000000000000000000000
χ664-4-2-2022−232314-1-403−3-2-222−4i4i00-21102-1-100−232333−3−30−2i32i32i−2i2i−2i0000000i3−i3−ii000000000000000000000000
χ6788-488-48-4-4-4-2-4-28-4-4-2-2-2-20000111-2111-2-2111111000000000000000000000000000000000000000000
χ6888-48-8-4844-4-2-4-2-844-2-2-2-20000111211122-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6988-4-48-4-4-4-42-22-2-4221−i151+i151−i151+i1500001−1+i152−1−i152-21−1+i152−1−i1521−i151+i1511−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000000000000
χ7088-4-48-4-4-4-42-22-2-4221+i151−i151+i151−i1500001−1−i152−1+i152-21−1−i152−1+i1521+i151−i1511−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000000000000
χ7188-4-4-8-4-4442-22-24-2-21−i151+i151−i151+i1500001−1+i152−1−i15221−1+i152−1−i152−1+i15−1−i15-1-11−i1521+i1521−i1521+i152000000000000000000000000000000000000000000
χ7288-4-4-8-4-4442-22-24-2-21+i151−i151+i151−i1500001−1−i152−1+i15221−1−i152−1+i152−1−i15−1+i15-1-11+i1521−i1521+i1521−i152000000000000000000000000000000000000000000
χ738-8880-8-8008-2-82000-2-2220000-2-2-2022200000000000000000000000000000000000000000000000000
χ748-88-40-8400-4-2420001−i151+i15−1+i15−1−i150000-21−i151+i1502−1+i15−1−i1500000000000000000000000000000000000000000000000000
χ758-88-40-8400-4-2420001+i151−i15−1−i15−1+i150000-21+i151−i1502−1−i15−1+i1500000000000000000000000000000000000000000000000000
χ768-8-4804-843−43-4-242043−43-2-22200001110-1-1-100−33−3−333000000000000000000000000000000000000000000
χ778-8-4804-8−4343-4-2420−4343-2-22200001110-1-1-1003−333−3−3000000000000000000000000000000000000000000
χ788-8-4-404443−432-2-220−23231−i151+i15−1+i15−1−i1500001−1+i152−1−i1520-11−i1521+i15200−33ζ14−ζ22−2ζ38+2ζ46−2ζ62+ζ86+2ζ94−ζ118−2ζ14+2ζ22+ζ38−ζ46+ζ62−2ζ86−ζ94+2ζ118−ζ14+ζ22+2ζ38−2ζ46+2ζ62−ζ86−2ζ94+ζ1182ζ14−2ζ22−ζ38+ζ46−ζ62+2ζ86+ζ94−2ζ118000000000000000000000000000000000000000000
χ798-8-4-404443−432-2-220−23231+i151−i15−1−i15−1+i1500001−1−i152−1+i1520-11+i1521−i15200−33−2ζ14+2ζ22+ζ38−ζ46+ζ62−2ζ86−ζ94+2ζ118ζ14−ζ22−2ζ38+2ζ46−2ζ62+ζ86+2ζ94−ζ1182ζ14−2ζ22−ζ38+ζ46−ζ62+2ζ86+ζ94−2ζ118−ζ14+ζ22+2ζ38−2ζ46+2ζ62−ζ86−2ζ94+ζ118000000000000000000000000000000000000000000
χ808-8-4-4044−43432-2-22023−231−i151+i15−1+i15−1−i1500001−1+i152−1−i1520-11−i1521+i152003−3−ζ14+ζ22+2ζ38−2ζ46+2ζ62−ζ86−2ζ94+ζ1182ζ14−2ζ22−ζ38+ζ46−ζ62+2ζ86+ζ94−2ζ118ζ14−ζ22−2ζ38+2ζ46−2ζ62+ζ86+2ζ94−ζ118−2ζ14+2ζ22+ζ38−ζ46+ζ62−2ζ86−ζ94+2ζ118000000000000000000000000000000000000000000
χ818-8-4-4044−43432-2-22023−231+i151−i15−1−i15−1+i1500001−1−i152−1+i1520-11+i1521−i152003−32ζ14−2ζ22−ζ38+ζ46−ζ62+2ζ86+ζ94−2ζ118−ζ14+ζ22+2ζ38−2ζ46+2ζ62−ζ86−2ζ94+ζ118−2ζ14+2ζ22+ζ38−ζ46+ζ62−2ζ86−ζ94+2ζ118ζ14−ζ22−2ζ38+2ζ46−2ζ62+ζ86+2ζ94−ζ118000000000000000000000000000000000000000000

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