Finite Group Databasebeta

← Group #14414831

Character table — Group #14414831

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222444444444444444444445555888888888888888888101010101010202020202020202030303030303030306060606011112222224444444444444444444455558888888888888888881010101010102020202020202020303030303030303060606060
order12223446662456610101012121212151530303030303044441010202020203030303060606060606060604412121212246612121212888888888888222264466624106610101012121212303030303030303044441010202020203030303060606060606060604412121212246612121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ4111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ51111111111-1-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-11111111111-1-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1
χ61111111111-1-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-111111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−iii−i−i−i−iii1111111111-1-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−iii−i−i−i−iii
χ81111111111-1-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iiiii−i−i1111111111-1-11-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111−i−iii−i−iiiii−i−i
χ911111-1-11111-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-11-11-111111-1-11111-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1-1-1-11-11-1
χ1011111-1-11111-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1-1-11111-11-1111111-1-11111-1111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-1-1-11111-11-11
χ1111111-1-11111-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1ii−i−i−i−iiii−i−ii11111-1-11111-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1ii−i−i−i−iiii−i−ii
χ1211111-1-11111-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1−i−iiiii−i−i−iii−i11111-1-11111-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1−i−iiiii−i−i−iii−i
χ1311111-1-1111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-11111-1-1-1-1-11-1111111-1-1111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-11111-1-1-1-1-11-11
χ1411111-1-1111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1-1-1-1-111111-11-111111-1-1111-111-1-1111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-1-1-1-1-1-1-111111-11-1
χ1511111-1-1111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111ii−i−i−i−iii−iii−i11111-1-1111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111ii−i−i−i−iii−iii−i
χ1611111-1-1111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111−i−iiiii−i−ii−i−ii11111-1-1111-111-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111−i−iiiii−i−ii−i−ii
χ172222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-10000000000002222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1000000000000
χ182222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-21111110000000000002222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111111000000000000
χ192222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-12222-2-222-2-21111-1-1-1-1111122-1-1-1-1-2-211-1-1110000000000002222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-12222-2-222-2-21111-1-1-1-1111122-1-1-1-1-2-211-1-111000000000000
χ202222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-11111-2-2111122-1-111-1-10000000000002222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2-222-2-21111-1-1-1-11111-2-2111122-1-111-1-1000000000000
χ212222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1-221111-1-10000000000002222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-111111111-2-2-1-1-1-1-221111-1-1000000000000
χ222222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1111111112211112-2-1-1-1-1110000000000002222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1111111112211112-2-1-1-1-111000000000000
χ232222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-12222-2-2-2-22211111111-1-1-1-1-2-2-1-1-1-12-2-1-111110000000000002222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-12222-2-2-2-22211111111-1-1-1-1-2-2-1-1-1-12-2-1-11111000000000000
χ242222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22211111111-1-1-1-1221111-2211-1-1-1-10000000000002222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22211111111-1-1-1-1221111-2211-1-1-1-1000000000000
χ2522-2-22002-2-200200-22-2000022-2-222-2-22i−2i2i−2i000000000000000000002i2i−2i−2i000000002ζ7+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+2ζ1090000000022-2-22002-2-200200-22-2000022-2-222-2-22i−2i2i−2i000000000000000000002i2i−2i−2i000000002ζ7+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+2ζ10900000000
χ2622-2-22002-2-200200-22-2000022-2-222-2-22i−2i2i−2i000000000000000000002i2i−2i−2i00000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000022-2-22002-2-200200-22-2000022-2-222-2-22i−2i2i−2i000000000000000000002i2i−2i−2i00000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000
χ2722-2-22002-2-200200-22-2000022-2-222-2-2−2i2i−2i2i00000000000000000000−2i−2i2i2i00000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000022-2-22002-2-200200-22-2000022-2-222-2-2−2i2i−2i2i00000000000000000000−2i−2i2i2i00000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000000
χ2822-2-22002-2-200200-22-2000022-2-222-2-2−2i2i−2i2i00000000000000000000−2i−2i2i2i000000002ζ13+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+2ζ1190000000022-2-22002-2-200200-22-2000022-2-222-2-2−2i2i−2i2i00000000000000000000−2i−2i2i2i000000002ζ13+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+2ζ11900000000
χ292-22-222i−2i-22-2002002-2-22i−2i002222-2-2-2-22i−2i−2i2i002i−2i0000002i2i−2i−2i00002-22i−2i2i−2i00002-2000000000000002-22-222i−2i-22-2002002-2-22i−2i002222-2-2-2-22i−2i−2i2i002i−2i0000002i2i−2i−2i00002-22i−2i2i−2i00002-200000000000000
χ302-22-222i−2i-22-2002002-2-22i−2i002222-2-2-2-2−2i2i2i−2i002i−2i0000002i2i−2i−2i0000-22−2i2i−2i2i0000-22000000000000002-22-222i−2i-22-2002002-2-22i−2i002222-2-2-2-2−2i2i2i−2i002i−2i0000002i2i−2i−2i0000-22−2i2i−2i2i0000-2200000000000000
χ312-22-22−2i2i-22-2002002-2-2−2i2i002222-2-2-2-22i−2i−2i2i00−2i2i000000−2i−2i2i2i0000-222i−2i2i−2i0000-22000000000000002-22-22−2i2i-22-2002002-2-2−2i2i002222-2-2-2-22i−2i−2i2i00−2i2i000000−2i−2i2i2i0000-222i−2i2i−2i0000-2200000000000000
χ322-22-22−2i2i-22-2002002-2-2−2i2i002222-2-2-2-2−2i2i2i−2i00−2i2i000000−2i−2i2i2i00002-2−2i2i−2i2i00002-2000000000000002-22-22−2i2i-22-2002002-2-2−2i2i002222-2-2-2-2−2i2i2i−2i00−2i2i000000−2i−2i2i2i00002-2−2i2i−2i2i00002-200000000000000
χ332-22-2-12i−2i1-11002−i3i32-2-2−ii3−3-1-1-1-111112i−2i−2i2i002i−2i00−i3−i3i3i3−i−iii33−3−32-2−ii−ii00−i3i3-113−30000000000002-22-2-12i−2i1-11002−i3i32-2-2−ii3−3-1-1-1-111112i−2i−2i2i002i−2i00−i3−i3i3i3−i−iii33−3−32-2−ii−ii00−i3i3-113−3000000000000
χ342-22-2-12i−2i1-11002−i3i32-2-2−ii3−3-1-1-1-11111−2i2i2i−2i002i−2i00−i3−i3i3i3−i−iii33−3−3-22i−ii−i00i3−i31-1−330000000000002-22-2-12i−2i1-11002−i3i32-2-2−ii3−3-1-1-1-11111−2i2i2i−2i002i−2i00−i3−i3i3i3−i−iii33−3−3-22i−ii−i00i3−i31-1−33000000000000
χ352-22-2-12i−2i1-11002i3−i32-2-2−ii−33-1-1-1-111112i−2i−2i2i002i−2i00i3i3−i3−i3−i−iii−3−3332-2−ii−ii00i3−i3-11−330000000000002-22-2-12i−2i1-11002i3−i32-2-2−ii−33-1-1-1-111112i−2i−2i2i002i−2i00i3i3−i3−i3−i−iii−3−3332-2−ii−ii00i3−i3-11−33000000000000
χ362-22-2-12i−2i1-11002i3−i32-2-2−ii−33-1-1-1-11111−2i2i2i−2i002i−2i00i3i3−i3−i3−i−iii−3−333-22i−ii−i00−i3i31-13−30000000000002-22-2-12i−2i1-11002i3−i32-2-2−ii−33-1-1-1-11111−2i2i2i−2i002i−2i00i3i3−i3−i3−i−iii−3−333-22i−ii−i00−i3i31-13−3000000000000
χ372-22-2-1−2i2i1-11002−i3i32-2-2i−i−33-1-1-1-111112i−2i−2i2i00−2i2i00−i3−i3i3i3ii−i−i−3−333-22−ii−ii00i3−i31-13−30000000000002-22-2-1−2i2i1-11002−i3i32-2-2i−i−33-1-1-1-111112i−2i−2i2i00−2i2i00−i3−i3i3i3ii−i−i−3−333-22−ii−ii00i3−i31-13−3000000000000
χ382-22-2-1−2i2i1-11002−i3i32-2-2i−i−33-1-1-1-11111−2i2i2i−2i00−2i2i00−i3−i3i3i3ii−i−i−3−3332-2i−ii−i00−i3i3-11−330000000000002-22-2-1−2i2i1-11002−i3i32-2-2i−i−33-1-1-1-11111−2i2i2i−2i00−2i2i00−i3−i3i3i3ii−i−i−3−3332-2i−ii−i00−i3i3-11−33000000000000
χ392-22-2-1−2i2i1-11002i3−i32-2-2i−i3−3-1-1-1-111112i−2i−2i2i00−2i2i00i3i3−i3−i3ii−i−i33−3−3-22−ii−ii00−i3i31-1−330000000000002-22-2-1−2i2i1-11002i3−i32-2-2i−i3−3-1-1-1-111112i−2i−2i2i00−2i2i00i3i3−i3−i3ii−i−i33−3−3-22−ii−ii00−i3i31-1−33000000000000
χ402-22-2-1−2i2i1-11002i3−i32-2-2i−i3−3-1-1-1-11111−2i2i2i−2i00−2i2i00i3i3−i3−i3ii−i−i33−3−32-2i−ii−i00i3−i3-113−30000000000002-22-2-1−2i2i1-11002i3−i32-2-2i−i3−3-1-1-1-11111−2i2i2i−2i00−2i2i00i3i3−i3−i3ii−i−i33−3−32-2i−ii−i00i3−i3-113−3000000000000
χ412-2-22200-2-2200200-2-22000022-2-2-2-22222-2-2000000000000000000002-2-220000000000002i−2i2i−2i00002-2-22200-2-2200200-2-22000022-2-2-2-22222-2-2000000000000000000002-2-220000000000002i−2i2i−2i0000
χ422-2-22200-2-2200200-2-22000022-2-2-2-22222-2-2000000000000000000002-2-22000000000000−2i2i−2i2i00002-2-22200-2-2200200-2-22000022-2-2-2-22222-2-2000000000000000000002-2-22000000000000−2i2i−2i2i0000
χ432-2-22200-2-2200200-2-22000022-2-2-2-222-2-22200000000000000000000-222-20000000000002-2-2200002-2-22200-2-2200200-2-22000022-2-2-2-222-2-22200000000000000000000-222-20000000000002-2-220000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.