Finite Group Databasebeta

← Group #14770808

Character table — Group #14770808

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242C243C244C245C246C247C248C249C250C251C252C253C254C255C256C257C258C259C260C261C262C263C264C265C266C267C268C269C270C271C272C273C274C275C276C277C278C279C280C281C282C283C284C285C286C287C288C289C290C291C292C293C294C295C296C297C298C299C300C301C302C303C304C305C306C307C308C309C310C311C312C313C314C315C316C317C318C319C320C321C322C323C324C325C326C327C328C329C330C331C332C333C334C335C336C337C338C339C340C341C342C343C344
size11111111111111112222222222222222222222222222222222222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888888888888888888888888888888888444444444444444444444444444444448888888888888888
order122222224444444411111111112222222222222222222222222222222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444442244444444448888888822222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888224444448888888824448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-11-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111111
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-11111-1-111111111-111-1-1-1-1-1
χ9111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1
χ10111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-11-1-111
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11111-111-1-1-111
χ12111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-11111-1-1-1-11-1-1111-1-1
χ13111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ14111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ15111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ16111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1711111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1ii−i−iii−i−i11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i-11-11i−ii−i
χ1811111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1ii−i−iii−i−i11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-11111−i−iii−i−iii1-11-1−ii−ii
χ1911111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1−i−iii−i−iii11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii1111-1-1-1-1−i−iii−i−iii-11-11−ii−ii
χ2011111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1−i−iii−i−iii11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-11111ii−i−iii−i−i1-11-1i−ii−i
χ2111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−i−i−iii11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-111-1-1ii−i−iii−i−i-1-111−ii−ii
χ2211111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1ii−i−i−i−iii11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111i−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-111-1-111−i−iii−i−iii11-1-1i−ii−i
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χ2411111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1−i−iiiii−i−i11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-111-1-111ii−i−iii−i−i11-1-1−ii−ii
χ2511111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−ii−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-1-111-1-1ii−i−i−i−iii11-1-1i−i−ii
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χ3211111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-11111ii−i−i−i−iii-11-11−iii−i
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χ3394-4-4-4-4444-4-4-4-44444−2ζ28−2ζ60−2ζ20−2ζ68−2ζ12−2ζ76−2ζ4−2ζ84−2ζ36−2ζ522ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ682ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ762ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ522ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ524-400000000-4400000000−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ522ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ5200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3404-4-4-4-4444-4-4-4-44444−2ζ28−2ζ60−2ζ20−2ζ68−2ζ12−2ζ76−2ζ4−2ζ84−2ζ36−2ζ522ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ682ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ762ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ522ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52-44000000004-4000000002ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ5200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3414-4-4-4-4444-4-4-4-44444−2ζ20−2ζ68−2ζ36−2ζ52−2ζ4−2ζ84−2ζ28−2ζ60−2ζ12−2ζ762ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ682ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ522ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ762ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ764-400000000-4400000000−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ762ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ7600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3424-4-4-4-4444-4-4-4-44444−2ζ20−2ζ68−2ζ36−2ζ52−2ζ4−2ζ84−2ζ28−2ζ60−2ζ12−2ζ762ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ682ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ522ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ762ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76-44000000004-4000000002ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ7600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3434-4-4-4-4444-4-4-4-44444−2ζ4−2ζ84−2ζ28−2ζ60−2ζ36−2ζ52−2ζ12−2ζ76−2ζ20−2ζ682ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ522ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ762ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ682ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ684-400000000-4400000000−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ682ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ6800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ3444-4-4-4-4444-4-4-4-44444−2ζ4−2ζ84−2ζ28−2ζ60−2ζ36−2ζ52−2ζ12−2ζ76−2ζ20−2ζ682ζ4+2ζ842ζ4+2ζ84−2ζ4−2ζ84−2ζ4−2ζ842ζ28+2ζ602ζ28+2ζ60−2ζ28−2ζ60−2ζ28−2ζ602ζ36+2ζ522ζ36+2ζ52−2ζ36−2ζ52−2ζ36−2ζ522ζ12+2ζ762ζ12+2ζ76−2ζ12−2ζ76−2ζ12−2ζ762ζ20+2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ4−2ζ842ζ4+2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ602ζ28+2ζ60−2ζ36−2ζ522ζ36+2ζ522ζ36+2ζ52−2ζ12−2ζ762ζ12+2ζ762ζ12+2ζ76−2ζ20−2ζ682ζ20+2ζ682ζ20+2ζ682ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ4+2ζ842ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ28+2ζ602ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ36+2ζ522ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ12+2ζ762ζ20+2ζ682ζ20+2ζ682ζ20+2ζ682ζ20+2ζ68−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ4−2ζ84−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ28−2ζ60−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ36−2ζ52−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ12−2ζ76−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68−2ζ20−2ζ68-44000000004-4000000002ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ68−2ζ4−2ζ842ζ4+2ζ84−2ζ4−2ζ842ζ4+2ζ84−2ζ28−2ζ602ζ28+2ζ60−2ζ28−2ζ602ζ28+2ζ60−2ζ36−2ζ522ζ36+2ζ52−2ζ36−2ζ522ζ36+2ζ52−2ζ12−2ζ762ζ12+2ζ76−2ζ12−2ζ762ζ12+2ζ76−2ζ20−2ζ682ζ20+2ζ68−2ζ20−2ζ682ζ20+2ζ6800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.