Finite Group Databasebeta

← Group #14327132

Character table — Group #14327132

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111111112222222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444466666666101010101010101012121212121212121212121212121212121212121212121212121212121212121212121220202020202020202020202020202020202020206060606060606060
order1222222222223444455666666610101010101010101010101010101010101010101010101010101010101012121212121212124466661212121215152020202020202020202020202020202030303030303030303030303030303030303030303030303030303030303060606060606060606060606060606060606060606060606060606060606060604444444422224444444420202020202020202020202020202020202020202020202020202020202020204444666612121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1011111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ1111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1211111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1311111111-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1411111111-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1511111111-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1611111111-1-1-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ171-1-1111-1-111-1-11ii−i−i1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−ii−i11-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i11-1-111-1-11-1i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181-1-1111-1-111-1-11ii−i−i1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−ii−i11-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i-1-111-1-1111-1i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ191-1-1111-1-111-1-11ii−i−i1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−ii−i11-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii11-1-111-1-1-11−ii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiii−ii−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201-1-1111-1-111-1-11ii−i−i1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−ii−i11-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-111-1-111-11−ii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−ii−ii-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ211-1-1111-1-111-1-11−i−iii1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−ii11-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii11-1-111-1-11-1−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ221-1-1111-1-111-1-11−i−iii1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−ii11-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii-1-111-1-1111-1−ii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ231-1-1111-1-111-1-11−i−iii1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−ii11-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i11-1-111-1-1-11i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−ii−ii11-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ241-1-1111-1-111-1-11−i−iii1111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−ii11-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-111-1-111-11i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−ii−ii−i-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ251-1-1111-1-1-1-1111ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1iiii−i−i−i−i−ii-1-111−i−iii11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i11-1-1-1-111-11−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii11-1-1-1-111−i−iiiii−i−i-111-1−iii−i
χ261-1-1111-1-1-1-1111ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1iiii−i−i−i−i−ii-1-111−i−iii11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-1-11111-1-1-11−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i-1-11111-1-1ii−i−i−i−iii1-1-11i−i−ii
χ271-1-1111-1-1-1-1111ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1iiii−i−i−i−i−ii-1-111−i−iii11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii11-1-1-1-1111-1i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii11-1-1-1-111−i−iiiii−i−i1-1-11i−i−ii
χ281-1-1111-1-1-1-1111ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1iiii−i−i−i−i−ii-1-111−i−iii11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii-1-11111-1-11-1i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i-1-11111-1-1ii−i−i−i−iii-111-1−iii−i
χ291-1-1111-1-1-1-1111−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−i−i−iiiiii−i-1-111ii−i−i11−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii11-1-1-1-111-11i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i11-1-1-1-111ii−i−i−i−iii-111-1i−i−ii
χ301-1-1111-1-1-1-1111−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−i−i−iiiiii−i-1-111ii−i−i11−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-1-11111-1-1-11i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-1-11111-1-1−i−iiiii−i−i1-1-11−iii−i
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χ2344-4-44-4-444-444-4-20000−1+5−1−52222-2-2-2−1+51−5−1−51+51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−51−51+5−1+5−1−52i32i3−2i3−2i3−2i3−2i32i32i3002-2-22−2i32i32i3−2i31−521+5200000000000000001−52−1+52−1+521+52−1−52−1−52−1+52−1+521−52−1−52−1−521+52−1+52−1+521−521−52−1−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−521−521+52−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000

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