Finite Group Databasebeta

← Group #14322015

Character table — Group #14322015

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size1111111122222222222222222222222222223333333344444444444444444444444444444444444444444444444466666666666666666666888888888888888888888888888810101010101010101212121212121212121212121212121212121212121212121212121220202020202020202020202030303030303030304040404060606060
order122222223444455666666610101010101010101010101010104444444444441212121215152020202020202020202020202020202020202020202020203030303030303030303030303030444420202020202020202020202020202020121212126060606060606060606060606060606060606060606060604444444422441010101010101010202020202020202020202020202020204444121212121212121244444444121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ10111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ11111111111-1-1-1-11111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ12111111111-1-1-1-11111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ13111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ14111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ15111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ16111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ171-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-11-1i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11-1-111-1-1ii−i−ii−i1-11-1i−i
χ181-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−ii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-1111-1i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−ii-11−i−iii-1-111-1-111−i−iii−ii-11-11−ii
χ191-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−i−ii-11ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1-11−ii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−ii-11ii−i−i11-1-111-1-1ii−i−i−ii-11-11−ii
χ201-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−i−ii-11ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-111-11−ii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiii−i1-1−i−iii-1-111-1-111−i−iiii−i1-11-1i−i
χ211-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiiii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiii−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1-11−ii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiii−i1-1ii−i−i11-1-1-1-111−i−iiii−i1-1-11−ii
χ221-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiiii−i1-1ii−i−i11iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiii−i1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111-11−ii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−ii-11−i−iii-1-11111-1-1ii−i−i−ii-111-1i−i
χ231-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiii−ii-11ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-11-1i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−ii-11ii−i−i11-1-1-1-111−i−iii−ii-111-1i−i
χ241-11-1-111-11ii−i−i1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiii−ii-11ii−i−i11iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii−ii-11iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-1111-1i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−ii−i1-1−i−iii-1-11111-1-1ii−i−ii−i1-1-11−ii
χ251-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−ii−i-11−i−iii11−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−ii−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-1111-1−ii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−ii1-1ii−i−i-1-11111-1-1−i−iii−ii1-1-11i−i
χ261-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−ii−i-11−i−iii11−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−ii−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-11-1−ii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiii−i-11−i−iii11-1-1-1-111ii−i−ii−i-111-1−ii
χ271-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−i−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111-11i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−ii−i-11ii−i−i-1-11111-1-1−i−iiii−i-111-1−ii
χ281-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1iiii−i−i−i−i−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1-11i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−ii1-1−i−iii11-1-1-1-111ii−i−i−ii1-1-11i−i
χ291-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiiii−i-11−i−iii11−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-111-11i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−ii1-1ii−i−i-1-111-1-111ii−i−i−ii1-11-1−ii
χ301-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiiii−i-11−i−iii11−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-11−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1-11i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−ii−i-11−i−iii11-1-111-1-1−i−iiii−i-11-11i−i
χ311-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-1111-1−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiiii−i-11ii−i−i-1-111-1-111ii−i−ii−i-11-11i−i
χ321-11-1-111-11−i−iii1111-1-1-1-1111-1-111-1-111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii11−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-11-1−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−ii1-1−i−iii11-1-111-1-1−i−iii−ii1-11-1−ii
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χ1924-4-4-444-4440000−1+5−1−5-4-44-4-4441−51+51−51+5−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5-44-444-44-400000000−1+5−1−50000000000000000000000001−51−51+51+51−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−500001−5−1+51−5−1+51+5−1−51+5−1−5−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.