Finite Group Databasebeta

← Group #14281908

Character table — Group #14281908

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444455556688888888810101010101012161616161616161620202020202020202020202020202020202024242424243030404040404040404848606060606060606060120
order122234466651010101212444444412121520203030304412121212420206060606060608888888812122424242424242424420202020442662424242420202888888884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-11
χ31111111111111111111111-1-1-11111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-111111-1-1-1-1-1
χ41111111111111111111111-1-1-11111111111111-1-111-1-1-1-1-1-1-1-111111111111111-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ511111111111111111111-1-1111111111111111-111111111111111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111111111111111-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111111-1
χ711111111111111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111111
χ811111111111111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11
χ91111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111ii−i−iii−i−i-1-1iiii−i−i−i−i11111-1-1-1-1-1ii−i−i11-1ii−i−iii−i−i-1
χ101111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111−i−iii−i−iii-1-1−i−i−i−iiiii11111-1-1-1-1-1−i−iii11-1−i−iii−i−iii-1
χ111111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii-11111-1-1111ii−i−i-1-1-1ii−i−i−i−iii1
χ121111111111111111-1-1-1-111-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i-11111-1-1111−i−iii-1-1-1−i−iiiii−i−i1
χ131111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111111111ii−i−iii−i−i-1-1iiii−i−i−i−i-1-1-1-1-111-1-1-1ii−i−i-1-11−i−iii−i−iii1
χ141111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111111111−i−iii−i−iii-1-1−i−i−i−iiiii-1-1-1-1-111-1-1-1−i−iii-1-11ii−i−iii−i−i1
χ151111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1ii−i−i−i−iii-1-1−i−i−i−iiiii1-1-1-1-111111ii−i−i111−i−iiiii−i−i-1
χ161111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1−i−iiiii−i−i-1-1iiii−i−i−i−i1-1-1-1-111111−i−iii111ii−i−i−i−iii-1
χ1722222-2-22222222-2-22222220002-2-2222-2-22222-200-2-2000000000000-2-2000000000-2-22222000000000-2000000000
χ1822222-2-22222222-2-22222-2-20002-2-2222-2-22222200-2-2000000000000-2-200000000022-2-2-2-20000000002000000000
χ1922222-2-22222222-2-2-2-2-2-2220002-2-222222-2-2-2-2-200-2-200000000000022000000000-2-222-2-20000000002000000000
χ2022222-2-22222222-2-2-2-2-2-2-2-20002-2-222222-2-2-2-2200-2-20000000000002200000000022-2-222000000000-2000000000
χ212222-122-1-1-12222-1-12222002-1-1-122-1-1-122-1-1-1-1022-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-100000002-1-1-1-1-1-1000000000000
χ222222-122-1-1-12222-1-12222002-1-1-122-1-1-122-1-1-1-1022-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111111100000002-1-11111000000000000
χ232222-122-1-1-12222-1-1222200-211-122-1-1-122-1-1-1-10-2-2-1-111112222-2-2-2-2-1-1111111110000000-211-1-1-1-1000000000000
χ242222-122-1-1-12222-1-1222200-211-122-1-1-122-1-1-1-10-2-2-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000000-2111111000000000000
χ252222-122-1-1-12222-1-1-2-2-2-2002-1-1-122-1-1-1-2-21111022-1-1-1-1-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii0000000-211−i−iii000000000000
χ262222-122-1-1-12222-1-1-2-2-2-2002-1-1-122-1-1-1-2-21111022-1-1-1-1-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−i0000000-211ii−i−i000000000000
χ272222-122-1-1-12222-1-1-2-2-2-200-211-122-1-1-1-2-211110-2-2-1-111112i2i−2i−2i−2i−2i2i2i11iiii−i−i−i−i00000002-1-1−i−iii000000000000
χ282222-122-1-1-12222-1-1-2-2-2-200-211-122-1-1-1-2-211110-2-2-1-11111−2i−2i2i2i2i2i−2i−2i11−i−i−i−iiiii00000002-1-1ii−i−i000000000000
χ2922-2-2200-2-222-22-20022-2-22i−2i000200-2-2200-2-22200000000000002−22−20022−2−222−2−20002i−2i2i−2i00000000000000−i2i2−i2i20
χ3022-2-2200-2-222-22-20022-2-22i−2i000200-2-2200-2-2220000000000000−22−2200−2−222−2−2220002i−2i2i−2i00000000000000i2−i2i2−i20
χ3122-2-2200-2-222-22-20022-2-2−2i2i000200-2-2200-2-22200000000000002−22−20022−2−222−2−2000−2i2i−2i2i00000000000000i2−i2i2−i20
χ3222-2-2200-2-222-22-20022-2-2−2i2i000200-2-2200-2-2220000000000000−22−2200−2−222−2−222000−2i2i−2i2i00000000000000−i2i2−i2i20
χ3322-2-2200-2-222-22-200-2-2222i−2i000200-2-220022-2-20000000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i20002i−2i−2i2i00000000000000−222−20
χ3422-2-2200-2-222-22-200-2-2222i−2i000200-2-220022-2-20000000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i20002i−2i−2i2i000000000000002−2−220
χ3522-2-2200-2-222-22-200-2-222−2i2i000200-2-220022-2-20000000000000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2000−2i2i2i−2i000000000000002−2−220
χ3622-2-2200-2-222-22-200-2-222−2i2i000200-2-220022-2-20000000000000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2000−2i2i2i−2i00000000000000−222−20
χ372-2-2222-22-2-222-2-22-22i−2i2i−2i0000022-2-22-22i−2i2i−2i2i−2i0002-20000000000002i−2i0000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000
χ382-2-2222-22-2-222-2-22-22i−2i2i−2i0000022-2-22-22i−2i2i−2i2i−2i0002-20000000000002i−2i00000000000000000000000002ζ13+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+2ζ11900000
χ392-2-2222-22-2-222-2-22-2−2i2i−2i2i0000022-2-22-2−2i2i−2i2i−2i2i0002-2000000000000−2i2i00000000000000000000000002ζ7+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+2ζ10900000
χ402-2-2222-22-2-222-2-22-2−2i2i−2i2i0000022-2-22-2−2i2i−2i2i−2i2i0002-2000000000000−2i2i0000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000
χ412-2-222-222-2-222-2-2-222i−2i2i−2i000002-22-22-2−2i2i2i−2i2i−2i000-2200002ζ7+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+2ζ1090000−2i2i0000000000000000002ζ7+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+2ζ109000000000000
χ422-2-222-222-2-222-2-2-222i−2i2i−2i000002-22-22-2−2i2i2i−2i2i−2i000-220000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−2i2i000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000000
χ432-2-222-222-2-222-2-2-22−2i2i−2i2i000002-22-22-22i−2i−2i2i−2i2i000-220000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900002i−2i000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000
χ442-2-222-222-2-222-2-2-22−2i2i−2i2i000002-22-22-22i−2i−2i2i−2i2i000-2200002ζ13+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+2ζ11900002i−2i0000000000000000002ζ13+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+2ζ119000000000000
χ452-2-22-1-22-11122-2-21-12i−2i2i−2i0003−3-1-221-11−2i2i−ii−ii0001-133−3−32ζ7+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+2ζ1090000i−iζ13−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+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000−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−ζ109000000000000
χ462-2-22-1-22-11122-2-21-12i−2i2i−2i0003−3-1-221-11−2i2i−ii−ii0001-133−3−3−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000i−i−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−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000−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+ζ109000000000000
χ472-2-22-1-22-11122-2-21-12i−2i2i−2i000−33-1-221-11−2i2i−ii−ii0001-1−3−3332ζ7+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+2ζ1090000i−i−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−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000i3−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−ζ109000000000000
χ482-2-22-1-22-11122-2-21-12i−2i2i−2i000−33-1-221-11−2i2i−ii−ii0001-1−3−333−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000i−iζ13−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+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000i3−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+ζ109000000000000
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χ502-2-22-1-22-11122-2-21-1−2i2i−2i2i0003−3-1-221-112i−2ii−ii−i0001-133−3−32ζ13+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+2ζ1190000−ii−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+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000i3−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−ζ119000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.