Finite Group Databasebeta

← Group #14417264

Character table — Group #14417264

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size11112222222222222222222222222222222222444444444444444444444444444444444444444444444444444444666666666666666666668888888888888888888888881212121212121212121212121212121212121212121212121212121212122020202020202020202020202020202020202020202020206060606060606060
order1222223444444444444556661010101010102020202020202020661010101012121212121212121212121215152020202020202020202020202020202020202020303030303030606060606060606088884040404040404040404040404040404030303030606060606060606060606060606060606060606088888840404040404040404040404040404040404040404040404022444444666612121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1111-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-1111-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111-1-1111-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111-1-1111-1-111-1-1-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111-1-11-1-111-1-111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111-1-11-1-111-1-111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111-1-11-1-111-1-111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111-1-11-1-111-1-111-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171-1-111-11i−ii−ii−ii−i1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1i−ii−i1-11-1i−ii−i1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−i1-11-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−ii−i1-111-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1
χ181-1-111-11i−ii−ii−ii−i1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1i−ii−i1-11-1i−ii−i1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−i1-11-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii−ii-11-1-111-1-111−i−iii−i−iii−ii−ii-11-11
χ191-1-111-11i−ii−ii−ii−i1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1i−ii−i1-11-1i−ii−i1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii-11-11−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-1i−ii−i1-111-1-111-1-1ii−i−iii−i−i−ii−ii-11-11
χ201-1-111-11i−ii−ii−ii−i1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1i−ii−i1-11-1i−ii−i1111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii-11-11−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-11−ii−ii-11-1-111-1-111−i−iii−i−iiii−ii−i1-11-1
χ211-1-111-11−ii−ii−ii−ii1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1−ii−ii1-11-1−ii−ii1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−i-11-11iiii−i−i−i−i-1-1-1-11111-1-1-1-111111-1−ii−ii1-111-1-111-1-1−i−iii−i−iiii−ii−i-11-11
χ221-1-111-11−ii−ii−ii−ii1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1−ii−ii1-11-1−ii−ii1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−i-11-11iiii−i−i−i−i-1-1-1-11111-1-1-1-11111-11i−ii−i-11-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1
χ231-1-111-11−ii−ii−ii−ii1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1−ii−ii1-11-1−ii−ii1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii1-11-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii−ii1-111-1-111-1-1−i−iii−i−iii−ii−ii1-11-1
χ241-1-111-11−ii−ii−ii−ii1-11-111-11-111-1-1-1-11111-1-1-1-11-111-1-1−ii−ii1-11-1−ii−ii1111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii1-11-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−ii−i-11-1-111-1-111ii−i−iii−i−ii−ii−i-11-11
χ251-1-11-111i−i−iii−i−ii-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111i−i−ii1-1-11i−i−ii11-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−ii1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1i−i−ii-1111-1-1-1-111ii−i−i−i−iiii−i−ii1-1-11
χ261-1-11-111i−i−iii−i−ii-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111i−i−ii1-1-11i−i−ii11-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−ii1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11−iii−i1-1-1-11111-1-1−i−iiiii−i−i−iii−i-111-1
χ271-1-11-111i−i−iii−i−ii-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111i−i−ii1-1-11i−i−ii11-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiii−i-111-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1i−i−ii-1111-1-1-1-111ii−i−i−i−iii−iii−i-111-1
χ281-1-11-111i−i−iii−i−ii-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111i−i−ii1-1-11i−i−ii11-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiiii−i-111-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-11−iii−i1-1-1-11111-1-1−i−iiiii−i−ii−i−ii1-1-11
χ291-1-11-111−iii−i−iii−i-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111−iii−i1-1-11−iii−i11-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−ii-111-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1−iii−i-1111-1-1-1-111−i−iiiii−i−ii−i−ii-111-1
χ301-1-11-111−iii−i−iii−i-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111−iii−i1-1-11−iii−i11-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i−ii-111-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-11i−i−ii1-1-1-11111-1-1ii−i−i−i−iii−iii−i1-1-11
χ311-1-11-111−iii−i−iii−i-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111−iii−i1-1-11−iii−i11-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1−iii−i-1111-1-1-1-111−i−iiiii−i−i−iii−i1-1-11
χ321-1-11-111−iii−i−iii−i-111-111-11-111-1-1-1-11111-1-1-1-1-11-1-111−iii−i1-1-11−iii−i11-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11i−i−ii1-1-1-11111-1-1ii−i−i−i−iiii−i−ii-111-1
χ332222222222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52222222222222−1−52−1+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+52−1−52−1−52−1+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+522222−1−52−1−52−1−52−1−52−1+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+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+52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ342222222222222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52222222222222−1−52−1+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+52−1−52−1−52−1+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+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.