Finite Group Databasebeta

← Group #14295924

Character table — Group #14295924

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222244444444444444444444445555888888888888888888888810101010101010101010151515151515151516161616161616161616161620202020202020202020303030303030303030303030404040406060606060606060
order122234466688884444510101012121515242424243030303030304444121212122020404040406060606012012012012012012012012022888812121212888888882020202060606060606060602244662424242444444444888866121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1-1−i−iii−i−iii
χ511111111111111-1-1-1-11111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−iii−i−i1111−i−iii−i−iii
χ811111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−iii1111ii−i−iii−i−i
χ91111111111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ101111111111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ111111111111-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1ii−i−i−i−iii
χ121111111111-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−i−iiiii−i−i
χ131111111111-1-1-1-1-1-11111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ141111111111-1-1-1-1-1-11111111111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1
χ151111111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111-1-111-1-11111−i−i−i−iiiiiii−i−i-1-111−i−iiiii−i−i
χ161111111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111-1-111-1-11111iiii−i−i−i−i−i−iii-1-111ii−i−i−i−iii
χ171-11-111-1-11-1ii−i−ii−i1-11-1-111-111ii−i−i-1-1-1-11111-1-1i−i1-11-1ii−i−i11-1-1iiii−i−i−i−i-11ii−i−i11-1-1ii−i−iii−i−ii−i1-1ii−i−i11-1-11-1i−i1-1ii−i−i11-1-111-1-1i−ii−i1-1i−i1-11-1i−ii−i
χ181-11-111-1-11-1ii−i−ii−i1-11-1-111-111ii−i−i-1-1-1-11111-1-1i−i1-11-1ii−i−i11-1-1iiii−i−i−i−i-11ii−i−i11-1-1−i−iii−i−iiii−i1-1ii−i−i11-1-11-1i−i1-1ii−i−i-1-111-1-111−ii−ii1-1i−i-11-11−ii−ii
χ191-11-111-1-11-1ii−i−ii−i1-11-1-111-111ii−i−i-1-1-1-111-1-111i−i1-11-1ii−i−i11-1-1iiii−i−i−i−i1-1−i−iii-1-11111-1-1-1-111i−i1-1ii−i−i11-1-1-11−ii-11−i−iii−i−iiiii−i−i1-1-11-11−ii−iii−i1-1-11
χ201-11-111-1-11-1ii−i−ii−i1-11-1-111-111ii−i−i-1-1-1-111-1-111i−i1-11-1ii−i−i11-1-1iiii−i−i−i−i1-1−i−iii-1-111-1-11111-1-1i−i1-1ii−i−i11-1-1-11−ii-11−i−iiiii−i−i−i−iii-111-1-11−iii−i−ii-111-1
χ211-11-111-1-11-1ii−i−i−ii-111-1-111-111ii−i−i-1-1-1-11111-1-1−ii-111-1ii−i−i11-1-1iiii−i−i−i−i-11ii−i−i11-1-1ii−i−iii−i−i−ii-11−i−iii-1-111-11−ii1-1ii−i−i11-1-111-1-1i−ii−i-11−ii-11-11−ii−ii
χ221-11-111-1-11-1ii−i−i−ii-111-1-111-111ii−i−i-1-1-1-11111-1-1−ii-111-1ii−i−i11-1-1iiii−i−i−i−i-11ii−i−i11-1-1−i−iii−i−iii−ii-11−i−iii-1-111-11−ii1-1ii−i−i-1-111-1-111−ii−ii-11−ii1-11-1i−ii−i
χ231-11-111-1-11-1ii−i−i−ii-111-1-111-111ii−i−i-1-1-1-111-1-111−ii-111-1ii−i−i11-1-1iiii−i−i−i−i1-1−i−iii-1-11111-1-1-1-111−ii-11−i−iii-1-1111-1i−i-11−i−iii−i−iiiii−i−i1-1-111-1i−ii−i−ii-111-1
χ241-11-111-1-11-1ii−i−i−ii-111-1-111-111ii−i−i-1-1-1-111-1-111−ii-111-1ii−i−i11-1-1iiii−i−i−i−i1-1−i−iii-1-111-1-11111-1-1−ii-11−i−iii-1-1111-1i−i-11−i−iiiii−i−i−i−iii-111-11-1i−i−iii−i1-1-11
χ251-11-111-1-11-1−i−iiii−i-111-1-111-111−i−iii-1-1-1-11111-1-1i−i-111-1−i−iii11-1-1−i−i−i−iiiii-11−i−iii11-1-1ii−i−iii−i−ii−i-11ii−i−i-1-111-11i−i1-1−i−iii-1-111-1-111i−ii−i-11i−i1-11-1−ii−ii
χ261-11-111-1-11-1−i−iiii−i-111-1-111-111−i−iii-1-1-1-11111-1-1i−i-111-1−i−iii11-1-1−i−i−i−iiiii-11−i−iii11-1-1−i−iii−i−iiii−i-11ii−i−i-1-111-11i−i1-1−i−iii11-1-111-1-1−ii−ii-11i−i-11-11i−ii−i
χ271-11-111-1-11-1−i−iiii−i-111-1-111-111−i−iii-1-1-1-111-1-111i−i-111-1−i−iii11-1-1−i−i−i−iiiii1-1ii−i−i-1-11111-1-1-1-111i−i-11ii−i−i-1-1111-1−ii-11ii−i−iii−i−i−i−iii1-1-111-1−ii−iii−i-111-1
χ281-11-111-1-11-1−i−iiii−i-111-1-111-111−i−iii-1-1-1-111-1-111i−i-111-1−i−iii11-1-1−i−i−i−iiiii1-1ii−i−i-1-111-1-11111-1-1i−i-11ii−i−i-1-1111-1−ii-11ii−i−i−i−iiiii−i−i-111-11-1−iii−i−ii1-1-11
χ291-11-111-1-11-1−i−iii−ii1-11-1-111-111−i−iii-1-1-1-11111-1-1−ii1-11-1−i−iii11-1-1−i−i−i−iiiii-11−i−iii11-1-1ii−i−iii−i−i−ii1-1−i−iii11-1-11-1−ii1-1−i−iii-1-111-1-111i−ii−i1-1−ii-11-11i−ii−i
χ301-11-111-1-11-1−i−iii−ii1-11-1-111-111−i−iii-1-1-1-11111-1-1−ii1-11-1−i−iii11-1-1−i−i−i−iiiii-11−i−iii11-1-1−i−iii−i−iii−ii1-1−i−iii11-1-11-1−ii1-1−i−iii11-1-111-1-1−ii−ii1-1−ii1-11-1−ii−ii
χ311-11-111-1-11-1−i−iii−ii1-11-1-111-111−i−iii-1-1-1-111-1-111−ii1-11-1−i−iii11-1-1−i−i−i−iiiii1-1ii−i−i-1-11111-1-1-1-111−ii1-1−i−iii11-1-1-11i−i-11ii−i−iii−i−i−i−iii1-1-11-11i−ii−i−ii1-1-11
χ321-11-111-1-11-1−i−iii−ii1-11-1-111-111−i−iii-1-1-1-111-1-111−ii1-11-1−i−iii11-1-1−i−i−i−iiiii1-1ii−i−i-1-111-1-11111-1-1−ii1-1−i−iii11-1-1-11i−i-11ii−i−i−i−iiiii−i−i-111-1-11i−i−iii−i-111-1
χ3322222-2-2222000000002222-2-222000022222222220000-2-20000-2-2-2-200000000-2-200002222222222220000000000000000-2-2000000000000-2-2-2-2000000000000
χ3422222-2-2222000000002222-2-222000022222222220000-2-20000-2-2-2-200000000-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-20000000000002222000000000000
χ3522222-2-2222000000002222-2-2220000222222-2-2-2-20000-2-20000-2-2-2-200000000220000-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000022000000000000−2i−2i2i2i000000000000
χ3622222-2-2222000000002222-2-2220000222222-2-2-2-20000-2-20000-2-2-2-200000000220000-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000220000000000002i2i−2i−2i000000000000
χ372222-122-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000000000000-1-1-1-100000000
χ382222-122-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000002222-1-1-1-1-1-1-1-1-2-2-2-2111111000000000000111100000000
χ392222-122-1-1-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-122221111222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100000000-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1000000000000111100000000
χ402222-122-1-1-12222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000-2-2-2-2111111112222111111000000000000-1-1-1-100000000
χ412222-122-1-1-1-2-2-2-222-2-22222-1-1-1-11111-1-1-1-1-1-12222-1-11122-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-10000000022-2-2-1-1-1-11111-2-222-1-1111100000000000011-1-100000000
χ422222-122-1-1-1-2-2-2-222-2-22222-1-1-1-11111-1-1-1-1-1-1-2-2-2-2-1-11122-2-2-2-2-1-1-1-111111111-2-2222211110000000022-2-2-1-1-1-1111122-2-211-1-1-1-1000000000000-1-11100000000
χ432222-122-1-1-1-2-2-2-2-2-2222222-1-1-1-11111-1-1-1-1-1-1222211-1-122-2-2-2-2-1-1-1-11111111122-2-2-2-2-1-1-1-100000000-2-2221111-1-1-1-122-2-2-1-11111000000000000-1-11100000000
χ442222-122-1-1-1-2-2-2-2-2-2222222-1-1-1-11111-1-1-1-1-1-1-2-2-2-211-1-122-2-2-2-2-1-1-1-111111111-2-22222111100000000-2-2221111-1-1-1-1-2-22211-1-1-1-100000000000011-1-100000000
χ4522-2-22002-2-2−i2i2−i2i200002-22-20022−i2i2−i2i2-2-222-2-22i−2i2i−2i000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2002−22−22i−2i2i−2i2ζ7+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+2ζ1090000000000000000002−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ4622-2-22002-2-2−i2i2−i2i200002-22-20022−i2i2−i2i2-2-222-2-22i−2i2i−2i000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i2002−22−22i−2i2i−2i−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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000002−22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ4722-2-22002-2-2−i2i2−i2i200002-22-20022−i2i2−i2i2-2-222-2-2−2i2i−2i2i000000−i2i2−i2i20000−i2−i2i2i2−i2−i2i2i200−22−22−2i2i−2i2i−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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000000000−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.