Finite Group Databasebeta

← Group #14328048

Character table — Group #14328048

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444446666666666666666666688888888888888888888888810101010101010101010101012121212121212121212121212121212121212121212121212121212121220202020202020202020202020202020202030303030606060606060
order122222223444444444444556666666101010101010101010101010101012121212121212121212121215152020202020202020202020202020202020202020202020203030303030303030303030303030444420202020202020202020202020202020606060606060606060606060606060606060606060606060444412121212121212122222441010101010101010101010101010101020202020202020204444441212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ71111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1
χ9111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ10111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111
χ11111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-111111111-1-111-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-11111-1-1-1-111
χ171111-1-1-1-1111-1-111-1-111-1-1111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−iii−i−iii−i−iii−i−iii−i−ii−ii−ii−i
χ181111-1-1-1-1111-1-111-1-111-1-1111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−ii−ii−ii
χ191111-1-1-1-1111-1-111-1-111-1-1111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111i−ii−ii−iii−i−iii−i−iii−i−i−i−iii−ii−ii−ii
χ201111-1-1-1-1111-1-111-1-111-1-1111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii-11-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111−ii−ii−ii−i−iii−i−iii−i−iiiii−i−ii−ii−ii−i
χ211111-1-1-1-1111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iiiii−i−i−i−i-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−iii−iii−i−i−i−iii−i−iiiii−i−ii−i−ii−ii
χ221111-1-1-1-1111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−i−i−iiiii-11-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−i−ii−i−iiiii−i−iii−i−i−i−iii−iii−ii−i
χ231111-1-1-1-1111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iiiii−i−i−i−i1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−iii−iii−i−i−i−iii−i−iii−i−iii−iii−ii−i
χ241111-1-1-1-1111-1-1-1-111-1-111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−i−i−iiiii1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−i−ii−i−iiiii−i−iii−i−iii−i−ii−i−ii−ii
χ251111-1-1-1-11-1-11111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−ii−ii−i−iiiii−i−i−i−iiiii−i−i−iii−i−ii
χ261111-1-1-1-11-1-11111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−ii−iii−i−i−i−iiiii−i−i−i−iiii−i−iii−i
χ271111-1-1-1-11-1-11111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i-111-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i−ii−ii−i−iiiii−i−i−i−iii−i−iiii−i−iii−i
χ281111-1-1-1-11-1-11111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii-111-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−iii−ii−iii−i−i−i−iiiii−i−iii−i−i−iii−i−ii
χ291111-1-1-1-11-1-111-1-11111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−iiiii−i−i−i−i-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−i−ii−i−iii−i−iiiii−i−iii−i−i−ii−iii−i
χ301111-1-1-1-11-1-111-1-11111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−iiiii-111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−iii−iii−i−iii−i−i−i−iii−i−iiii−ii−i−ii
χ311111-1-1-1-11-1-111-1-11111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−iiiii−i−i−i−i1-1-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−ii−i−iii−i−iiiii−i−i−i−iiii−ii−i−ii
χ321111-1-1-1-11-1-111-1-11111-1-1111-111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iii−i−i−i−iiiii1-1-111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i−iii−iii−i−iii−i−i−i−iiiii−i−i−ii−iii−i
χ33222222222222222222222−1−52−1+522222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1+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+52000000000000222222−1−52−1−52−1+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+520000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.