Finite Group Databasebeta

← Group #14296433

Character table — Group #14296433

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111112222222222224444444444445555555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202024242424242424243030303030303030303030303030303060606060
order1222222234444666666651010101010101012121212444444441520202020303030303030306060606060606060444412121212121212124444888888881212121224242424242424242424242424242424202020202020202088888888888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111
χ9111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ10111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ11111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ12111111111-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ13111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ14111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ15111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ16111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1
χ171-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-1-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-11-1i−ii−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-11-1i−i
χ181-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-1-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-11-1i−i−ii−ii-11-11ii−i−i−i−iii-1-111−i−iii-1-11111-1-1ii−i−i−i−iii−i−iii-1-111-1-1111-1i−i
χ191-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-1-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1-11−iii−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111−i−iii−i−iii−i−iii-1-111-1-111-11−ii
χ201-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i11-1-1-1-1111ii−i−i111-1-1-1-1iiii−i−i−i−iii−i−i11-1-111-1-1-11−ii−ii−ii-11-11ii−i−i−i−iii-1-111−i−iii-1-111-1-111−i−iiiii−i−iii−i−i11-1-111-1-1-11−ii
χ211-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-11111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-1111-1i−i1-1-11−iii−i−i−iii11-1-1−i−iii-1-111ii−i−i11-1-1ii−i−i11-1-1-1-111−i−iiiii−i−i-11−ii
χ221-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-11111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-1111-1i−i-111-1i−i−ii−i−iii-1-111ii−i−i11-1-1−i−iii11-1-1ii−i−i-1-11111-1-1ii−i−i−i−iii-11−ii
χ231-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-11111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111-11−ii1-1-11−iii−i−i−iii11-1-1−i−iii-1-111ii−i−i-1-111−i−iii-1-11111-1-1ii−i−i−i−iii1-1i−i
χ241-1-111-11-11ii−i−i11-1-1-11-1111-1-1-11-1ii−i−i-1-11111-1-11ii−i−i111-1-1-1-1iiii−i−i−i−i−i−iii-1-111-1-111-11−ii-111-1i−i−ii−i−iii-1-111ii−i−i11-1-1−i−iii-1-111−i−iii11-1-1-1-111−i−iiiii−i−i1-1i−i
χ251-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-1-1-1111−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-11-1−iii−ii−i-11-11−i−iiiii−i−i-1-111ii−i−i-1-11111-1-1−i−iiiii−i−iii−i−i-1-111-1-1111-1−ii
χ261-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-1-1-1111−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-11-1−ii−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-11-1−ii
χ271-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-1-1-1111−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1-11i−ii−ii−i-11-11−i−iiiii−i−i-1-111ii−i−i-1-111-1-111ii−i−i−i−iii−i−iii11-1-111-1-1-11i−i
χ281-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii11-1-1-1-1111−i−iii111-1-1-1-1−i−i−i−iiiii−i−iii11-1-111-1-1-11i−i−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111ii−i−iii−i−iii−i−i-1-111-1-111-11i−i
χ291-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-11111-1-11−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-1111-1−ii1-1-11i−i−iiii−i−i11-1-1ii−i−i-1-111−i−iii11-1-1−i−iii11-1-1-1-111ii−i−i−i−iii-11i−i
χ301-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-11111-1-11−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-1111-1−ii-111-1−iii−iii−i−i-1-111−i−iii11-1-1ii−i−i11-1-1−i−iii-1-11111-1-1−i−iiiii−i−i-11i−i
χ311-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-11111-1-11−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111-11i−i1-1-11i−i−iiii−i−i11-1-1ii−i−i-1-111−i−iii-1-111ii−i−i-1-11111-1-1−i−iiiii−i−i1-1−ii
χ321-1-111-11-11−i−iii11-1-1-11-1111-1-1-11-1−i−iii-1-11111-1-11−i−iii111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111-1-111-11i−i-111-1−iii−iii−i−i-1-111−i−iii11-1-1ii−i−i-1-111ii−i−i11-1-1-1-111ii−i−i−i−iii1-1−ii
χ3322222222-12222-1-1-1-1-1-1-122222222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ3422222222-12222-1-1-1-1-1-1-122222222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000000000000000
χ3522222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100002i2i−2i−2i2i2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000
χ3622222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000−2i−2i2i2i−2i−2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000
χ3722222222-1-2-2-2-2-1-1-1-1-1-1-122222222111122222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-100002222-2-2-2-21111-1-1-1-11111-1-1-1-111110000000000000000000000000000
χ3822222222-1-2-2-2-2-1-1-1-1-1-1-122222222111122222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-1-1-1-1-10000-2-2-2-2222211111111-1-1-1-11111-1-1-1-10000000000000000000000000000
χ3922222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111122221111111100002i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000
χ4022222222-1-2-2-2-2-1-1-1-1-1-1-1222222221111-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-1111111112222111111110000−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000
χ41222-22-2-2-220000-2-222-22-222-222-2-2-2000022-2-222-2-2200002-2-222-2-20000000000002222-2-2-2-200000000000000000000000000000000000000002-22-22-22-2000000000000
χ42222-22-2-2-220000-2-222-22-222-222-2-2-2000022-2-222-2-2200002-2-222-2-20000000000002222-2-2-2-20000000000000000000000000000000000000000-22-22-22-22000000000000
χ43222-22-2-2-220000-2-222-22-222-222-2-2-20000-2-222-2-222200002-2-222-2-2000000000000-2-2-2-2222200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ44222-22-2-2-220000-2-222-22-222-222-2-2-20000-2-222-2-222200002-2-222-2-2000000000000-2-2-2-222220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ4522-22-22-2-2200002-22-2-2-222-2-22-2-22200002i−2i2i−2i2i−2i2i−2i20000-22-22-22-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000
χ4622-22-22-2-2200002-22-2-2-222-2-22-2-22200002i−2i2i−2i2i−2i2i−2i20000-22-22-22-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000
χ4722-22-22-2-2200002-22-2-2-222-2-22-2-2220000−2i2i−2i2i−2i2i−2i2i20000-22-22-22-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000
χ4822-22-22-2-2200002-22-2-2-222-2-22-2-2220000−2i2i−2i2i−2i2i−2i2i20000-22-22-22-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000
χ4922-2-2-2-22222-22-2-222-22-2-22-222-22-2-22-22-22i−2i−2i2i2i−2i−2i2i22-22-2-2-222-2-2222-2-222-2-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000002i−2i2i−2i00000000000000000000000000000000000000000000
χ5022-2-2-2-22222-22-2-222-22-2-22-222-22-2-22-22-2−2i2i2i−2i−2i2i2i−2i22-22-2-2-222-2-2222-2-222-2-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000−2i2i−2i2i00000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.