Finite Group Databasebeta

← Group #14295991

Character table — Group #14295991

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222224444444455556666888888881010101010101010101010101010121215151515151515151616161616161616202020202020202020202020202020202424242430303030303030304040404040404848606060606060
order1222344666225101010121244448888661520203030302244444444121212124488888888101030303030606044668888121212121212121240404040888888881212242424242020448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111-1-1iiii−i−i−i−i-1-1-1-111iiii−i−i−i−i11111111-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-1ii−i−i11-1-1ii−i−i
χ6111111111111111111-1-1-1-1111111111111-1-1−i−i−i−iiiii-1-1-1-111−i−i−i−iiiii11111111-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii-1-1−i−iii11-1-1−i−iii
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-1-1-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii-1-1ii−i−i-1-111−i−iii
χ8111111111111111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-1-1-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i-1-1−i−iii-1-111ii−i−i
χ91111111111-1-111111111111111-1-111111111111111111111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111-1-111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111
χ111111111111-1-11111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ121111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ131111111111-1-1111111-1-1-1-11111-1-1111111-1-1iiii−i−i−i−i-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-11111-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1ii−i−i11−i−iii-1-111−i−iii
χ141111111111-1-1111111-1-1-1-11111-1-1111111-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-11111-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii11ii−i−i-1-111ii−i−i
χ151111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1iiii−i−i−i−i-1-1-1-111−i−i−i−iiiii-1-1-1-1-1-11111-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111−i−iii11−i−iii11-1-1ii−i−i
χ161111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1−i−i−i−iiiii-1-1-1-111iiii−i−i−i−i-1-1-1-1-1-11111-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11ii−i−i11-1-1−i−iii
χ171-11-111-1-1-111-11-11-11-111-1-1ii−i−i1-111-1-1-11-1111-1-111-1-1-1-111i−iii−i−iii−i−i1-111-1-11-11-1-111-11-111-1-111-1-1ii−i−iii−i−ii−ii−i1-11-11-1i−ii−ii−ii−i
χ181-11-111-1-1-111-11-11-11-111-1-1ii−i−i1-111-1-1-11-11-1-111-1-111-1-111i−i−i−iii−i−iii1-111-1-11-11-1-11-11-11-1-111-1-111ii−i−iii−i−i−ii−ii1-1-11-11i−ii−i−ii−ii
χ191-11-111-1-1-111-11-11-11-111-1-1−i−iii1-111-1-1-11-1111-1-111-1-1-1-111−ii−i−iii−i−iii1-111-1-11-11-1-111-11-111-1-111-1-1−i−iii−i−iii−ii−ii1-11-11-1−ii−ii−ii−ii
χ201-11-111-1-1-111-11-11-11-111-1-1−i−iii1-111-1-1-11-11-1-111-1-111-1-111−iiii−i−iii−i−i1-111-1-11-11-1-11-11-11-1-111-1-111−i−iii−i−iiii−ii−i1-1-11-11−ii−iii−ii−i
χ211-11-111-1-1-111-11-11-11-1-1-111ii−i−i1-111-1-1-111-1ii−i−i−i−iii11-1-1i−i-1-11111-1-11-111-1-11-1-111-1i−i−iiii−i−i−i−iiiii−i−i−i−iii-111-1-11i−i−iii−i−ii-111-1
χ221-11-111-1-1-111-11-11-11-1-1-111ii−i−i1-111-1-1-111-1−i−iiiii−i−i11-1-1i−i11-1-1-1-1111-111-1-11-1-111-1−iii−i−i−iiiii−i−iii−i−i−i−iii1-1-11-11−iii−ii−i−ii1-1-11
χ231-11-111-1-1-111-11-11-11-1-1-111−i−iii1-111-1-1-111-1ii−i−i−i−iii11-1-1−ii11-1-1-1-1111-111-1-11-1-111-1i−i−iiii−i−i−i−iii−i−iiiii−i−i1-1-11-11i−i−ii−iii−i1-1-11
χ241-11-111-1-1-111-11-11-11-1-1-111−i−iii1-111-1-1-111-1−i−iiiii−i−i11-1-1−ii-1-11111-1-11-111-1-11-1-111-1−iii−i−i−iiiii−i−i−i−iiiii−i−i-111-1-11−iii−i−iii−i-111-1
χ251-11-111-1-1-11-111-11-11-111-1-1ii−i−i-1111-1-1-11-1111-1-111-1-1-1-111−iiii−i−iii−i−i-11-1-1111-1-11-11-11-1111-1-111-1-1ii−i−iii−i−ii−ii−i-11-11-11−ii−ii−ii−ii
χ261-11-111-1-1-11-111-11-11-111-1-1ii−i−i-1111-1-1-11-11-1-111-1-111-1-111−ii−i−iii−i−iii-11-1-1111-1-11-111-11-1-1-111-1-111ii−i−iii−i−i−ii−ii-111-11-1−ii−iii−ii−i
χ271-11-111-1-1-11-111-11-11-111-1-1−i−iii-1111-1-1-11-1111-1-111-1-1-1-111i−i−i−iii−i−iii-11-1-1111-1-11-11-11-1111-1-111-1-1−i−iii−i−iii−ii−ii-11-11-11i−ii−ii−ii−i
χ281-11-111-1-1-11-111-11-11-111-1-1−i−iii-1111-1-1-11-11-1-111-1-111-1-111i−iii−i−iii−i−i-11-1-1111-1-11-111-11-1-1-111-1-111−i−iii−i−iiii−ii−i-111-11-1i−ii−i−ii−ii
χ291-11-111-1-1-11-111-11-11-1-1-111ii−i−i-1111-1-1-111-1ii−i−i−i−iii11-1-1−ii-1-11111-1-1-11-1-1111-11-11-1−iii−iii−i−i−i−iiiii−i−i−i−iii-111-11-1−iii−i−iii−i1-1-11
χ301-11-111-1-1-11-111-11-11-1-1-111ii−i−i-1111-1-1-111-1−i−iiiii−i−i11-1-1−ii11-1-1-1-111-11-1-1111-11-11-1i−i−ii−i−iiiii−i−iii−i−i−i−iii1-1-111-1i−i−ii−iii−i-111-1
χ311-11-111-1-1-11-111-11-11-1-1-111−i−iii-1111-1-1-111-1ii−i−i−i−iii11-1-1i−i11-1-1-1-111-11-1-1111-11-11-1−iii−iii−i−i−i−iii−i−iiiii−i−i1-1-111-1−iii−ii−i−ii-111-1
χ321-11-111-1-1-11-111-11-11-1-1-111−i−iii-1111-1-1-111-1−i−iiiii−i−i11-1-1i−i-1-11111-1-1-11-1-1111-11-11-1i−i−ii−i−iiiii−i−i−i−iiiii−i−i-111-11-1i−i−iii−i−ii1-1-11
χ3322222-2-2222002222-2-222220000002-2-2222-2-20000000022220022222222000000-2-200-2-200000000000000000000-2-2-2-200000000000000
χ3422222-2-2222002222-2-222220000002-2-2222-2-200000000222200-2-2-2-2-2-2-2-2000000-2-200-2-200000000000000000000222200000000000000
χ3522222-2-2222002222-2-2-2-2-2-20000002-2-22222200000000-2-2-2-2002i2i2i2i−2i−2i−2i−2i000000-2-2002200000000000000000000−2i−2i2i2i00000000000000
χ3622222-2-2222002222-2-2-2-2-2-20000002-2-22222200000000-2-2-2-200−2i−2i−2i−2i2i2i2i2i000000-2-20022000000000000000000002i2i−2i−2i00000000000000
χ372222-122-1-1-1222222-1-122220000-1-1-122-1-1-12222222222-1-1-1-1000000000022-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-100000000
χ382222-122-1-1-1222222-1-122220000-1-1-122-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1000000000022-1-1-1-1-1-122-1-1-2-2-2-211111111000000000000-1-1111100000000
χ392222-122-1-1-1222222-1-1-2-2-2-20000-1-1-122-1-1-1-2-22i2i2i2i−2i−2i−2i−2i1111000000000022-1-1-1-1-1-1-2-2112i2i−2i−2i−i−i−i−iiiii00000000000011−i−iii00000000
χ402222-122-1-1-1222222-1-1-2-2-2-20000-1-1-122-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i1111000000000022-1-1-1-1-1-1-2-211−2i−2i2i2iiiii−i−i−i−i00000000000011ii−i−i00000000
χ412222-122-1-1-1-2-22222-1-12222000011-122-1-1-12222222222-1-1-1-10000000000-2-21111-1-1-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-100000000000011111100000000
χ422222-122-1-1-1-2-22222-1-12222000011-122-1-1-122-2-2-2-2-2-2-2-2-1-1-1-10000000000-2-21111-1-1-2-2-1-122221111111100000000000011-1-1-1-100000000
χ432222-122-1-1-1-2-22222-1-1-2-2-2-2000011-122-1-1-1-2-22i2i2i2i−2i−2i−2i−2i11110000000000-2-21111-1-12211−2i−2i2i2i−i−i−i−iiiii000000000000-1-1ii−i−i00000000
χ442222-122-1-1-1-2-22222-1-1-2-2-2-2000011-122-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i11110000000000-2-21111-1-122112i2i−2i−2iiiii−i−i−i−i000000000000-1-1−i−iii00000000
χ4522-2-22002-2-2002-2-22002i−2i2i−2i2−22−2002002-2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2i−2i002ζ7+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+2ζ10900000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i2000000000000000000
χ4622-2-22002-2-2002-2-22002i−2i2i−2i2−22−2002002-2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2i−2i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2−i2i2−i2i2000000000000000000
χ4722-2-22002-2-2002-2-22002i−2i2i−2i−22−22002002-2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i2i−2i00−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i2000000000000000000
χ4822-2-22002-2-2002-2-22002i−2i2i−2i−22−22002002-2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i2i−2i002ζ7+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+2ζ1090000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i2000000000000000000
χ4922-2-22002-2-2002-2-2200−2i2i−2i2i2−22−2002002-2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i−2i2i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i2−22−2i2−i2i2−i2000000000000000000
χ5022-2-22002-2-2002-2-2200−2i2i−2i2i2−22−2002002-2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i−2i2i002ζ13+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+2ζ1190000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2−22−2i2−i2i2−i2000000000000000000
χ5122-2-22002-2-2002-2-2200−2i2i−2i2i−22−22002002-2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i−2i2i002ζ13+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+2ζ11900000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−22−22−i2i2−i2i2000000000000000000
χ5222-2-22002-2-2002-2-2200−2i2i−2i2i−22−22002002-2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i−2i2i00−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−22−22−i2i2−i2i2000000000000000000
χ532-22-22-22-2-22002-22-2-2222-2-20000002-22-2-222-200000000-2-222002i2i−2i−2i2i2i−2i−2i000000-22002-200000000000000000000−2i2i−2i2i00000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.