Finite Group Databasebeta

← Group #14287148

Character table — Group #14287148

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444455558888888881010101010101212121216161616161616162020202020202020202020202020202020202424242430303030404040404040404848606060606060120120
order12223446665101010121244444121215202030303044121212124488202060606060606088888888121224242424242424244040404088884121224242424202044888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-111-1-1
χ611111111111111111111-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ811111111111111111111-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ91111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111ii−i−iii−i−i-1-1iiii−i−i−i−i1111ii−i−i-1-1-1ii−i−i11-1-1-1-1i−ii−i
χ101111111111111111-1-1-1-1111111111-1-1-1-1-1-1111111111111−i−iii−i−iii-1-1−i−i−i−iiiii1111−i−iii-1-1-1−i−iii11-1-1-1-1−ii−ii
χ111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111ii−i−iii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii-1-1-1ii−i−i-1-11111−ii−ii
χ121111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111−i−iii−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i-1-1-1−i−iii-1-11111i−ii−i
χ131111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−i111ii−i−i11-1-111i−i−ii
χ141111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii111−i−iii11-1-111−iii−i
χ151111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii1111−i−iii111ii−i−i-1-111-1-1−iii−i
χ161111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i1111ii−i−i111−i−iii-1-111-1-1i−i−ii
χ1722222-2-22222222-2-222220002-2-2222-2-22222000000-2-2000000000000-2-200000000000022220000000000000-2-200
χ1822222-2-22222222-2-222220002-2-2222-2-22222000000-2-2000000000000-2-2000000000000-2-2-2-200000000000002200
χ1922222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-2000000-2-2000000000000220000000000002i2i−2i−2i0000000000000−2i2i00
χ2022222-2-22222222-2-2-2-2-2-20002-2-222222-2-2-2-2000000-2-200000000000022000000000000−2i−2i2i2i00000000000002i−2i00
χ212222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-1000022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000000002-1-1-1-1-1-10000000000
χ222222-122-1-1-12222-1-122222-1-1-122-1-1-122-1-1-1-1000022-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111000000002-1-111110000000000
χ232222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-2-1-111112222-2-2-2-2-1-11111111100000000-211-1-1-1-10000000000
χ242222-122-1-1-12222-1-12222-211-122-1-1-122-1-1-1-10000-2-2-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-1-100000000-21111110000000000
χ252222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-21111000022-1-1-1-1-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii00000000-211−i−iii0000000000
χ262222-122-1-1-12222-1-1-2-2-2-22-1-1-122-1-1-1-2-21111000022-1-1-1-1-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−i00000000-211ii−i−i0000000000
χ272222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-2-1-111112i2i−2i−2i−2i−2i2i2i11iiii−i−i−i−i000000002-1-1−i−iii0000000000
χ282222-122-1-1-12222-1-1-2-2-2-2-211-122-1-1-1-2-211110000-2-2-1-11111−2i−2i2i2i2i2i−2i−2i11−i−i−i−iiiii000000002-1-1ii−i−i0000000000
χ292-22-222-2-2-222-2-222-22i−2i2i−2i0002-22-22-22i−2i2i−2i2i−2i0000002-200002ζ7+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+2ζ10900002i−2i00000000000000000002ζ7+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+2ζ1090000000000
χ302-22-222-2-2-222-2-222-22i−2i2i−2i0002-22-22-22i−2i2i−2i2i−2i0000002-20000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900002i−2i0000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000
χ312-22-222-2-2-222-2-222-2−2i2i−2i2i0002-22-22-2−2i2i−2i2i−2i2i0000002-20000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−2i2i0000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000
χ322-22-222-2-2-222-2-222-2−2i2i−2i2i0002-22-22-2−2i2i−2i2i−2i2i0000002-200002ζ13+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+2ζ1190000−2i2i00000000000000000002ζ13+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+2ζ1190000000000
χ332-22-22-22-2-222-2-22-222i−2i2i−2i00022-2-22-2−2i2i2i−2i2i−2i2-20000-22000000000000−2i2i000000000000000000000002-22i−2i000000
χ342-22-22-22-2-222-2-22-222i−2i2i−2i00022-2-22-2−2i2i2i−2i2i−2i-220000-22000000000000−2i2i00000000000000000000000-22−2i2i000000
χ352-22-22-22-2-222-2-22-22−2i2i−2i2i00022-2-22-22i−2i−2i2i−2i2i2-20000-220000000000002i−2i000000000000000000000002-2−2i2i000000
χ362-22-22-22-2-222-2-22-22−2i2i−2i2i00022-2-22-22i−2i−2i2i−2i2i-220000-220000000000002i−2i00000000000000000000000-222i−2i000000
χ372-22-2-12-211-12-2-22-112i−2i2i−2i03−3-1-221-112i−2i−ii−ii000000-1133−3−32ζ7+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+2ζ1090000−iiζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000000−i3i3−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−ζ1090000000000
χ382-22-2-12-211-12-2-22-112i−2i2i−2i03−3-1-221-112i−2i−ii−ii000000-1133−3−3−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−ii−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000−i3i3ζ7+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+ζ1090000000000
χ392-22-2-12-211-12-2-22-112i−2i2i−2i0−33-1-221-112i−2i−ii−ii000000-11−3−3332ζ7+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+2ζ1090000−ii−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000i3−i3−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−ζ1090000000000
χ402-22-2-12-211-12-2-22-112i−2i2i−2i0−33-1-221-112i−2i−ii−ii000000-11−3−333−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−iiζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000000000i3−i3ζ7+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+ζ1090000000000
χ412-22-2-12-211-12-2-22-11−2i2i−2i2i03−3-1-221-11−2i2ii−ii−i000000-1133−3−3−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000i−iζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000000i3−i3ζ13+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+ζ1190000000000
χ422-22-2-12-211-12-2-22-11−2i2i−2i2i03−3-1-221-11−2i2ii−ii−i000000-1133−3−32ζ13+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+2ζ1190000i−i−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000000i3−i3−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−ζ1190000000000
χ432-22-2-12-211-12-2-22-11−2i2i−2i2i0−33-1-221-11−2i2ii−ii−i000000-11−3−333−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000i−i−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000000−i3i3ζ13+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+ζ1190000000000
χ442-22-2-12-211-12-2-22-11−2i2i−2i2i0−33-1-221-11−2i2ii−ii−i000000-11−3−3332ζ13+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+2ζ1190000i−iζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000000−i3i3−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−ζ1190000000000
χ452-2-22200-22-22-22-2002i−2i−2i2i000200-2-2200−2i2i2i−2i00−i2i20000000000001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2−i2i2i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000002−20000
χ462-2-22200-22-22-22-2002i−2i−2i2i000200-2-2200−2i2i2i−2i00−i2i2000000000000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2−i2i2i22ζ13+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+2ζ119000000000002−20000
χ472-2-22200-22-22-22-2002i−2i−2i2i000200-2-2200−2i2i2i−2i00i2−i20000000000001+i−1−i1−i−1+i001+i−1−i1+i−1−i1−i−1+i1−i−1+ii2i2−i2−i22ζ13+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+2ζ11900000000000−220000
χ482-2-22200-22-22-22-2002i−2i−2i2i000200-2-2200−2i2i2i−2i00i2−i2000000000000−1−i1+i−1+i1−i00−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2i2−i2−i2−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000000000−220000
χ492-2-22200-22-22-22-200−2i2i2i−2i000200-2-22002i−2i−2i2i00−i2i20000000000001−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2−i2i2i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000000−220000
χ502-2-22200-22-22-22-200−2i2i2i−2i000200-2-22002i−2i−2i2i00−i2i2000000000000−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2−i2i2i22ζ7+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+2ζ10900000000000−220000
χ512-2-22200-22-22-22-200−2i2i2i−2i000200-2-22002i−2i−2i2i00i2−i20000000000001−i−1+i1+i−1−i001−i−1+i1−i−1+i1+i−1−i1+i−1−ii2i2−i2−i22ζ7+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+2ζ109000000000002−20000
χ522-2-22200-22-22-22-200−2i2i2i−2i000200-2-22002i−2i−2i2i00i2−i2000000000000−1+i1−i−1−i1+i00−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2i2−i2−i2−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000002−20000
χ534444444444-1-1-1-1440000444-1-1-1-1-1-10000004444-1-1-1-1-1-1-1-1000000000000000000-1-1-1-100000000000-1-100000000
χ544444444444-1-1-1-1440000444-1-1-1-1-1-1000000-4-4-4-4-1-1-1-1-1-1-1-10000000000000000001111000000000001100000000
χ554444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-100000044-4-411-1-11111000000000000000000111100000000000-1-100000000
χ564444444444-1-1-1-1440000-4-4-4-1-1-1-1-1-1000000-4-44411-1-11111000000000000000000-1-1-1-1000000000001100000000
χ574444-2-4-4-2-2-24444224444000-2-4-4-2-2-2-4-4-2-2-2-20000002200000000000022000000000000000000000000000000000
χ584444-2-4-4-2-2-2444422-4-4-4-4000-2-4-4-2-2-244222200000022000000000000-2-2000000000000000000000000000000000
χ5944-4-44004-4-444-4-40044-4-40004004-4-400-4-4440000000000000000000000000000000000000000000000000000000
χ6044-4-44004-4-444-4-400-4-4440004004-4-40044-4-40000000000000000000000000000000000000000000000000000000
χ6144-4-4-200-22244-4-40044-4-4000-200-2220022-2-200000000000000000000006−6−666−6−660000000000000000000000000
χ6244-4-4-200-22244-4-40044-4-4000-200-2220022-2-20000000000000000000000−666−6−666−60000000000000000000000000
χ6344-4-4-200-22244-4-400-4-444000-200-22200-2-2220000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000000000000
χ6444-4-4-200-22244-4-400-4-444000-200-22200-2-2220000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000000000000
χ654-44-44-44-4-44-111-1-440000000-1-111-110000004-400−i5i51-1−i5i5−i5i5000000000000000000−i5i5−i5i500000000000-1100000000
χ664-44-44-44-4-44-111-1-440000000-1-111-110000004-400i5−i51-1i5−i5i5−i5000000000000000000i5−i5i5−i500000000000-1100000000
χ674-44-44-44-4-44-111-1-440000000-1-111-11000000-4400−i5i51-1−i5i5−i5i5000000000000000000i5−i5i5−i5000000000001-100000000
χ684-44-44-44-4-44-111-1-440000000-1-111-11000000-4400i5−i51-1i5−i5i5−i5000000000000000000−i5i5−i5i5000000000001-100000000
χ694-44-4-2-4422-24-4-442-24i−4i4i−4i000-24-42-22−4i4i−2i2i−2i2i0000002-20000000000002i−2i000000000000000000000000000000000
χ704-44-4-2-4422-24-4-442-2−4i4i−4i4i000-24-42-224i−4i2i−2i2i−2i0000002-2000000000000−2i2i000000000000000000000000000000000
χ714-4-44-2002-224-44-4004i−4i−4i4i000-20022-2002i−2i−2i2i00000000000000002+2i−2−2i2−2i−2+2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000000000000
χ724-4-44-2002-224-44-4004i−4i−4i4i000-20022-2002i−2i−2i2i0000000000000000−2−2i2+2i−2+2i2−2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000000000000
χ734-4-44-2002-224-44-400−4i4i4i−4i000-20022-200−2i2i2i−2i00000000000000002−2i−2+2i2+2i−2−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000000000000
χ744-4-44-2002-224-44-400−4i4i4i−4i000-20022-200−2i2i2i−2i0000000000000000−2+2i2−2i−2−2i2+2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000000000000
χ7588888-8-8888-2-2-2-2-8-80000000-222-2-2-20000000000002200000000000000000000000000000000000000000000000
χ768888-488-4-4-4-2-2-2-2-4-400008-4-41-2-21110000000000-2-21111110000000000000000000000000000000000000000000
χ778888-488-4-4-4-2-2-2-2-4-40000-8441-2-211100000000002211-1-1-1-10000000000000000000000000000000000000000000
χ788888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000-1-1−i15i15i15−i150000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-4-2-2-2-2440000000122111000000000000-1-1i15−i15−i15i150000000000000000000000000000000000000000000
χ8088-8-88008-8-8-2-222000000000-200-22200000000000000000000000000000000000010−10−1010000000000000000000000
χ8188-8-88008-8-8-2-222000000000-200-222000000000000000000000000000000000000−101010−10000000000000000000000
χ828-88-888-8-8-88-222-28-80000000-22-22-22000000000000-2200000000000000000000000000000000000000000000000
χ838-88-8-48-844-4-222-2-440000043−4312-2-11-10000000000001-1−3−3330000000000000000000000000000000000000000000
χ848-88-8-48-844-4-222-2-4400000−434312-2-11-10000000000001-133−3−30000000000000000000000000000000000000000000
χ858-88-8-4-8844-4-222-24-400000001-22-11-10000000000−2i52i5-11i5−i5i5−i50000000000000000000000000000000000000000000
χ868-88-8-4-8844-4-222-24-400000001-22-11-100000000002i5−2i5-11−i5i5−i5i50000000000000000000000000000000000000000000
χ878-8-88800-88-8-22-22000000000-20022-200000000−4i24i200000000000000000000000000i2i2−i2−i2000000000000000000000
χ888-8-88800-88-8-22-22000000000-20022-2000000004i2−4i200000000000000000000000000−i2−i2i2i2000000000000000000000
χ891616-16-16-800-888-4-4440000000002002-2-20000000000000000000000000000000000000000000000000000000000000
χ9016-16-1616-8008-88-44-44000000000200-2-220000000000000000000000000000000000000000000000000000000000000

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