Finite Group Databasebeta

← Group #14412922

Character table — Group #14412922

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size11112222222222222244444444444444444444444444446666666666666666888888888888888888888888881010101012121212121212121212121212121212161616161616161620202020202020202020242424242424242430303030404040404040606060606060
order12442345561010121220202020244468810101215152020202020202020202030306060606022444444101010102020202061010121212202024243030404040406060606060606060606022442488101020202020202020202020303060601201201201202444668812121010202040404040224461212122424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ511111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ611111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1
χ9111111111111111111-1-1111-1-11111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ10111111111111111111-1-1111-1-11111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ11111111111111111111-1-1111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-111-1-111-1-111
χ12111111111111111111-1-1111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111111111-1-111-1-111-1-1
χ13111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ14111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ15111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ16111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1711-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-111111iiii−i−i−i−i11-1-1-1-11-11-1ii−i−i1111-1-1-1-1111-1i−i-1-1i−i-1-1ii−i−i11iiii−i−i−i−i1-11-11-1i−i-1-111iiii−i−i−i−i11-1-1ii−i−i1-1i−i1-1i−i1-111-1-1ii−i−i1-11-11-1i−ii−i-11i−ii−i
χ1811-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-111111iiii−i−i−i−i11-1-1-1-11-11-1ii−i−i1111-1-1-1-1111-1i−i-1-1i−i-1-1ii−i−i11iiii−i−i−i−i-11-111-1i−i-1-111iiii−i−i−i−i11-1-1ii−i−i-11−ii-11−ii-1111-1-1ii−i−i-11-11-11−ii−ii1-1−ii−ii
χ1911-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-111111iiii−i−i−i−i11-1-1-1-1-11-11−i−iii-1-1-1-11111111-1i−i-1-1i−i-1-1ii−i−i11iiii−i−i−i−i1-11-1-11−ii11-1-1−i−i−i−iiiii11-1-1ii−i−i1-1i−i1-1i−i1-1-1-111−i−iii-11-111-1i−ii−i1-1−ii−ii
χ2011-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-111111iiii−i−i−i−i11-1-1-1-1-11-11−i−iii-1-1-1-11111111-1i−i-1-1i−i-1-1ii−i−i11iiii−i−i−i−i-11-11-11−ii11-1-1−i−i−i−iiiii11-1-1ii−i−i-11−ii-11−ii-11-1-111−i−iii1-11-1-11−ii−ii-11i−ii−i
χ2111-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-111111−i−i−i−iiiii11-1-1-1-11-11-1−i−iii1111-1-1-1-1111-1−ii-1-1−ii-1-1−i−iii11−i−i−i−iiiii1-11-11-1−ii-1-111−i−i−i−iiiii11-1-1−i−iii1-1−ii1-1−ii1-111-1-1−i−iii1-11-11-1−ii−ii-11−ii−ii
χ2211-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-111111−i−i−i−iiiii11-1-1-1-11-11-1−i−iii1111-1-1-1-1111-1−ii-1-1−ii-1-1−i−iii11−i−i−i−iiiii-11-111-1−ii-1-111−i−i−i−iiiii11-1-1−i−iii-11i−i-11i−i-1111-1-1−i−iii-11-11-11i−ii−i1-1i−ii−i
χ2311-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-111111−i−i−i−iiiii11-1-1-1-1-11-11ii−i−i-1-1-1-11111111-1−ii-1-1−ii-1-1−i−iii11−i−i−i−iiiii1-11-1-11i−i11-1-1iiii−i−i−i−i11-1-1−i−iii1-1−ii1-1−ii1-1-1-111ii−i−i-11-111-1−ii−ii1-1i−ii−i
χ2411-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-111111−i−i−i−iiiii11-1-1-1-1-11-11ii−i−i-1-1-1-11111111-1−ii-1-1−ii-1-1−i−iii11−i−i−i−iiiii-11-11-11i−i11-1-1iiii−i−i−i−i11-1-1−i−iii-11i−i-11i−i-11-1-111ii−i−i1-11-1-11i−ii−i-11−ii−ii
χ2511-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-111111iiii−i−i−i−i11-1-1-1-11-11-1ii−i−i1111-1-1-1-1-1-1-11i−i11−ii-1-1−i−iii11iiii−i−i−i−i1-11-1-11−ii-1-111iiii−i−i−i−i-1-111−i−iii-11i−i1-1−ii1-1-1-111−i−iii1-11-1-11i−i−ii1-1i−i−ii
χ2611-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-111111iiii−i−i−i−i11-1-1-1-11-11-1ii−i−i1111-1-1-1-1-1-1-11i−i11−ii-1-1−i−iii11iiii−i−i−i−i-11-11-11−ii-1-111iiii−i−i−i−i-1-111−i−iii1-1−ii-11i−i-11-1-111−i−iii-11-111-1−iii−i-11−iii−i
χ2711-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-111111iiii−i−i−i−i11-1-1-1-1-11-11−i−iii-1-1-1-11111-1-1-11i−i11−ii-1-1−i−iii11iiii−i−i−i−i1-11-11-1i−i11-1-1−i−i−i−iiiii-1-111−i−iii-11i−i1-1−ii1-111-1-1ii−i−i-11-11-11i−i−ii-11−iii−i
χ2811-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-111111iiii−i−i−i−i11-1-1-1-1-11-11−i−iii-1-1-1-11111-1-1-11i−i11−ii-1-1−i−iii11iiii−i−i−i−i-11-111-1i−i11-1-1−i−i−i−iiiii-1-111−i−iii1-1−ii-11i−i-1111-1-1ii−i−i1-11-11-1−iii−i1-1i−i−ii
χ2911-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-111111−i−i−i−iiiii11-1-1-1-11-11-1−i−iii1111-1-1-1-1-1-1-11−ii11i−i-1-1ii−i−i11−i−i−i−iiiii1-11-1-11i−i-1-111−i−i−i−iiiii-1-111ii−i−i-11−ii1-1i−i1-1-1-111ii−i−i1-11-1-11−iii−i1-1−iii−i
χ3011-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-111111−i−i−i−iiiii11-1-1-1-11-11-1−i−iii1111-1-1-1-1-1-1-11−ii11i−i-1-1ii−i−i11−i−i−i−iiiii-11-11-11i−i-1-111−i−i−i−iiiii-1-111ii−i−i1-1i−i-11−ii-11-1-111ii−i−i-11-111-1i−i−ii-11i−i−ii
χ3111-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-111111−i−i−i−iiiii11-1-1-1-1-11-11ii−i−i-1-1-1-11111-1-1-11−ii11i−i-1-1ii−i−i11−i−i−i−iiiii1-11-11-1−ii11-1-1iiii−i−i−i−i-1-111ii−i−i-11−ii1-1i−i1-111-1-1−i−iii-11-11-11−iii−i-11i−i−ii
χ3211-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-111111−i−i−i−iiiii11-1-1-1-1-11-11ii−i−i-1-1-1-11111-1-1-11−ii11i−i-1-1ii−i−i11−i−i−i−iiiii-11-111-1−ii11-1-1iiii−i−i−i−i-1-111ii−i−i1-1i−i-11−ii-1111-1-1−i−iii1-11-11-1i−i−ii1-1−iii−i
χ332222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ342222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000001−521+521−521+521−521+521−521+520000000000000000
χ352222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−5222-2-22-2-2−1+52−1−522−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−522-2-2−1+52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ362222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−5222-2-22-2-2−1+52−1−522−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222221−521−521+521+521−521−521+521+522−1+52−1−522-2-2−1+52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+520000-2-2221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ372222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2222-2-2−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521+52-2221−521+52-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+5200000000001−521+521−521+521−521+521−521+520000000000000000
χ382222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2222-2-2−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+52-21−521+52-2221−521+52-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022221−521+521−521+521−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ392222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−522−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521+52-2-2-21−521+5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000001−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ402222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2222−1+52−1−522−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222221−521−521+521+521−521−521+521+52-21−521+52-2-2-21−521+5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.