Finite Group Databasebeta

← Group #14479111

Character table — Group #14479111

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210
size1111222222222222222222222222224444444444444444444444444444444444444444444444444444444444666666666666666688888888888888888888888810101010101010101010101010101010121212121212121212121212121212121212121212121212121212121212121215151515202020202020202020202020202020203030303030303030303030303030
order1222344444444444444556661010101010101212121212121212121212121212151520202020202020202020202020202020202020202020202020202020303030303030606060606060606022222244444444446060606060606060606060606060606060606060606060602222224444444444101010101010101010101010202020202020202020202020202020202020202022226666661212121212121212121244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ5111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1
χ6111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111
χ7111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ8111111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ91111111-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1
χ101111111-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111
χ111111111-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111
χ121111111-1-111-1-1-1-111-1-11111111111111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-1
χ131111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111
χ141111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1
χ151111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1
χ161111111-1-1-1-111-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ1711111-1-1111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ1811111-1-1111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111
χ1911111-1-1111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111
χ2011111-1-1111111-1-1-1-1-1-111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-1-1-1
χ2111111-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ2211111-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1111111-1-1-1-1
χ2311111-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ2411111-1-111-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ2511111-1-1-1-111-1-111-1-11111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111
χ2611111-1-1-1-111-1-111-1-11111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-111-1-111-1-1
χ2711111-1-1-1-111-1-111-1-11111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1
χ2811111-1-1-1-111-1-111-1-11111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ2911111-1-1-1-1-1-1111111-1-111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1
χ3011111-1-1-1-1-1-1111111-1-111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ3111111-1-1-1-1-1-1111111-1-111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111
χ3211111-1-1-1-1-1-1111111-1-111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ331-11-11i−i1-11-11-1i−ii−ii−i11-11-1-1-111-1-1i−i1-11-11-1i−ii−ii−i11ii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−i-1-111-1-1iiii−i−i−i−i1-11-11-1i−i1-1i−ii−ii−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-11-11-1i−i1-1i−ii−ii−i11-1-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i11-1-11-11-11-1i−i1-1i−ii−ii−ii−i1-11-11-1i−ii−ii−i
χ341-11-11i−i1-11-11-1i−ii−ii−i11-11-1-1-111-1-1i−i1-11-11-1i−ii−ii−i11ii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−i-1-111-1-1iiii−i−i−i−i1-11-11-1i−i1-1i−ii−ii−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i-11-11-11−ii-11−ii−ii−ii11-1-111-1-111-1-1ii−i−i11-1-1ii−i−iii−i−iii−i−i-1-111-11-11-11−ii-11−ii−ii−ii−ii-11-11-11−ii−ii−ii
χ351-11-11i−i1-11-11-1i−ii−ii−i11-11-1-1-111-1-1i−i1-11-11-1i−ii−ii−i11ii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−i-1-111-1-1iiii−i−i−i−i-11-11-11−ii-11−ii−ii−ii11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-11-11-1i−i1-1i−ii−ii−i-1-111-1-111-1-111−i−iii-1-111−i−iii−i−iii−i−iii-1-1111-11-11-1i−i1-1i−ii−ii−i−ii-11-11-11−ii−ii−ii
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χ2058-8-88800000000000000−2+25−2−25-8-882−252+252−252+25−2+25−2−2500000000000000−2+25−2−2500000000000000000000000000002−252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ2078-8-88-400000000000000−2−25−2+2544-42+252−252+252−25−2−25−2+25000000000000001+51−50000000000000000000000000000−1−5−1+5−1−5−1+51+51−52ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ4700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ2098-8-88-400000000000000−2+25−2−2544-42−252+252−252+25−2+25−2−25000000000000001−51+50000000000000000000000000000−1+5−1−5−1+5−1−51−51+5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2108-8-88-400000000000000−2+25−2−2544-42−252+252−252+25−2+25−2−25000000000000001−51+50000000000000000000000000000−1+5−1−5−1+5−1−51−51+52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ5900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.