Finite Group Databasebeta

← Group #72322706

Character table — Group #72322706

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232
size1111222222444444444444444488888888888888888888888888888816161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323211112222224444444444444444888888888888888888888888888888161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232
order1244222444224444448888888844888888888888161616161616161616161616161616168888161616161616161622244444444488888888888816161616161616163232323232323232323232323232323222442224442244444488888888448888888888881616161616161616161616161616161688881616161616161616222444444444888888888888161616161616161632323232323232323232323232323232
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i1-111-111111-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i1-111-111111-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i
χ1011111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i1-1-11-1-1-1-111-1-11111iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i1-1-11-1-1-1-111-1-11111iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii
χ1111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i-111-11111-1-111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i-111-11111-1-111-1-1-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii
χ1211111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i-11-1-11-1-1-1-1-1111111−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−i11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i-11-1-11-1-1-1-1-1111111−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−i
χ1311111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii1-111-111111-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii1-111-111111-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii
χ1411111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii1-1-11-1-1-1-111-1-11111−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii1-1-11-1-1-1-111-1-11111−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i
χ1511111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii-111-11111-1-111-1-1-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii-111-11111-1-111-1-1-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i
χ1611111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii-11-1-11-1-1-1-1-1111111iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii11111111111111-1-1-1-11111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii-11-1-11-1-1-1-1-1111111iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii
χ171111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ181111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ191111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111
χ201111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-1
χ211111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-111-11-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-111-11-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111
χ221111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ231111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-111-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-111-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ241111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-11-1-11-11111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-11-1-11-11111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111
χ251111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii111111-1-1-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii111111-1-1-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ261111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii11-111-111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii11-111-111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ271111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii-1-11-1-11-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii-1-11-1-11-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ281111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii-1-1-1-1-1-1111111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111−i−iii-1-1-1-1-1-1111111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ291111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i111111-1-1-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i111111-1-1-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ301111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i11-111-111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i11-111-111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ311111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i-1-11-1-11-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i-1-11-1-11-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ321111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i-1-1-1-1-1-1111111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111ii−i−i-1-1-1-1-1-1111111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
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χ1381111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.