Finite Group Databasebeta

← Group #14413799

Character table — Group #14413799

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order122222366656610101010101010444444441530303030303030441212121220202020202020208888121224242424242424244444888822222266661066101010101010104444444430303030303030304412121212202020202020202088881212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ91111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-11111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-111111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-11
χ111111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-111111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-11
χ121111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-11111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-1
χ131111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii1111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii
χ141111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i1111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i
χ151111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i1111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i
χ161111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii1111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii
χ17222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ19222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000
χ20222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ212222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-111000000002222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-11100000000
χ222222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-100000000-22-221111-1-111-1-1000000002222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-100000000-22-221111-1-111-1-100000000
χ232222-2-2-1-1-1-121122-2-2-2-22-2-2-2-20000-1-1-1-11111221111000000002i−2i−2i2i-1-1−i−iiiii−i−i000000002222-2-2-1-1-1-121122-2-2-2-22-2-2-2-20000-1-1-1-11111221111000000002i−2i−2i2i-1-1−i−iiiii−i−i00000000
χ242222-2-2-1-1-1-121122-2-2-2-22-2-2-2-20000-1-1-1-1111122111100000000−2i2i2i−2i-1-1ii−i−i−i−iii000000002222-2-2-1-1-1-121122-2-2-2-22-2-2-2-20000-1-1-1-1111122111100000000−2i2i2i−2i-1-1ii−i−i−i−iii00000000
χ2522-2-20022-2-2200-2-2000022i2i−2i−2i002-222-2-20000002i2i−2i−2i000022-2-200000000000000002i−2i000022-2-20022-2-2200-2-2000022i2i−2i−2i002-222-2-20000002i2i−2i−2i000022-2-200000000000000002i−2i0000
χ2622-2-20022-2-2200-2-2000022i2i−2i−2i00-2222-2-20000002i2i−2i−2i0000-2-2220000000000000000−2i2i000022-2-20022-2-2200-2-2000022i2i−2i−2i00-2222-2-20000002i2i−2i−2i0000-2-2220000000000000000−2i2i0000
χ2722-2-20022-2-2200-2-200002−2i−2i2i2i002-222-2-2000000−2i−2i2i2i000022-2-20000000000000000−2i2i000022-2-20022-2-2200-2-200002−2i−2i2i2i002-222-2-2000000−2i−2i2i2i000022-2-20000000000000000−2i2i0000
χ2822-2-20022-2-2200-2-200002−2i−2i2i2i00-2222-2-2000000−2i−2i2i2i0000-2-22200000000000000002i−2i000022-2-20022-2-2200-2-200002−2i−2i2i2i00-2222-2-2000000−2i−2i2i2i0000-2-22200000000000000002i−2i0000
χ292-22-2002-2-222002-20000-22-22-22i−2i002-22-20000002-22-22i2i−2i−2i0000000000000000002i−2i0000002-22-2002-2-222002-20000-22-22-22i−2i002-22-20000002-22-22i2i−2i−2i0000000000000000002i−2i000000
χ302-22-2002-2-222002-20000-22-22-2−2i2i002-22-20000002-22-2−2i−2i2i2i000000000000000000−2i2i0000002-22-2002-2-222002-20000-22-22-2−2i2i002-22-20000002-22-2−2i−2i2i2i000000000000000000−2i2i000000
χ312-22-2002-2-222002-20000-2-22-222i−2i002-22-2000000-22-222i2i−2i−2i000000000000000000−2i2i0000002-22-2002-2-222002-20000-2-22-222i−2i002-22-2000000-22-222i2i−2i−2i000000000000000000−2i2i000000
χ322-22-2002-2-222002-20000-2-22-22−2i2i002-22-2000000-22-22−2i−2i2i2i0000000000000000002i−2i0000002-22-2002-2-222002-20000-2-22-22−2i2i002-22-2000000-22-22−2i−2i2i2i0000000000000000002i−2i000000
χ332-2-222-22-22-222-2-2222-2-2-22i−2i−2i2i00002-2-2222-2-22i−2i2i−2i−2i2i0000000000002i−2i00000000000000002-2-222-22-22-222-2-2222-2-2-22i−2i−2i2i00002-2-2222-2-22i−2i2i−2i−2i2i0000000000002i−2i0000000000000000
χ342-2-222-22-22-222-2-2222-2-2-2−2i2i2i−2i00002-2-2222-2-2−2i2i−2i2i2i−2i000000000000−2i2i00000000000000002-2-222-22-22-222-2-2222-2-2-2−2i2i2i−2i00002-2-2222-2-2−2i2i−2i2i2i−2i000000000000−2i2i0000000000000000
χ352-2-222-2-11-112-11-2222-2-2-22i−2i−2i2i0000-111-1-1-1112i−2i−iii−i000000000000−iiζ7−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−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000002-2-222-2-11-112-11-2222-2-2-22i−2i−2i2i0000-111-1-1-1112i−2i−iii−i000000000000−iiζ7−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−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000
χ362-2-222-2-11-112-11-2222-2-2-22i−2i−2i2i0000-111-1-1-1112i−2i−iii−i000000000000−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+ζ109000000002-2-222-2-11-112-11-2222-2-2-22i−2i−2i2i0000-111-1-1-1112i−2i−iii−i000000000000−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+ζ10900000000
χ372-2-222-2-11-112-11-2222-2-2-2−2i2i2i−2i0000-111-1-1-111−2i2ii−i−ii000000000000i−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+ζ119000000002-2-222-2-11-112-11-2222-2-2-2−2i2i2i−2i0000-111-1-1-111−2i2ii−i−ii000000000000i−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
χ382-2-222-2-11-112-11-2222-2-2-2−2i2i2i−2i0000-111-1-1-111−2i2ii−i−ii000000000000i−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−ζ119000000002-2-222-2-11-112-11-2222-2-2-2−2i2i2i−2i0000-111-1-1-111−2i2ii−i−ii000000000000i−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
χ392-2-22-222-22-22-22-22-2-222-22i−2i−2i2i00002-2-22-2-222−2i2i2i−2i−2i2i000000000000−2i2i00000000000000002-2-22-222-22-22-22-22-2-222-22i−2i−2i2i00002-2-22-2-222−2i2i2i−2i−2i2i000000000000−2i2i0000000000000000
χ402-2-22-222-22-22-22-22-2-222-2−2i2i2i−2i00002-2-22-2-2222i−2i−2i2i2i−2i0000000000002i−2i00000000000000002-2-22-222-22-22-22-22-2-222-2−2i2i2i−2i00002-2-22-2-2222i−2i−2i2i2i−2i0000000000002i−2i0000000000000000
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χ1092-2-222-2-11-112-11-2222-2-2-2−2i2i2i−2i0000-111-1-1-111−2i2ii−i−ii000000000000i−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+ζ11900000000-222-2-221-11-1-21-12-2-2-22222i−2i−2i2i00001-1-1111-1-12i−2i−iii−i000000000000−ii−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
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χ1112-2-22-222-22-22-22-22-2-222-22i−2i−2i2i00002-2-22-2-222−2i2i2i−2i−2i2i000000000000−2i2i0000000000000000-222-22-2-22-22-22-22-222-2-22−2i2i2i−2i0000-222-222-2-22i−2i−2i2i2i−2i0000000000002i−2i0000000000000000
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χ13988-8-800-4-444-20022−2525−2525-20000000011-1-15−55−5000000000000000000000000000000000000-8-8880044-4-4200-2-225−2525−25200000000-1-111−55−55000000000000000000000000000000000000
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χ1438-8-888-8-44-44-2-442-2-2-2222000000001-1-1111-1-1000000000000000000000000000000000000-888-8-884-44-424-4-2222-2-2-200000000-111-1-1-111000000000000000000000000000000000000
χ1448-8-88-88-44-44-24-42-222-2-22000000001-1-11-1-111000000000000000000000000000000000000-888-88-84-44-42-44-22-2-222-200000000-111-111-1-1000000000000000000000000000000000000

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