Finite Group Databasebeta

← Group #72343228

Character table — Group #72343228

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224
size1111111122222222222222222222222244444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order12224444222222444444444488888888222222222222222244444444444444444444448888888888888888888844444444444444444444444444448888888888888888888888888888888888888888888844444488888888888888888888888888888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ17111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ18111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ19111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-111
χ20111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111-1-111-1-111-1-1
χ21111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ22111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-111-1-1
χ23111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ24111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ25111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ26111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1
χ27111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ28111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ29111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ30111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ32111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ331111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1-1-1-1-1111ii−i−iii−i−i111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1iii−i−i−iiii−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i
χ341111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1-1-1-1-1111−i−iii−i−iii111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−i−iiii−i−i−iiii1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii
χ351111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111ii−i−iii−i−i111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111iii−i−i−iiii−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-111-1-111-1-111−ii−ii−ii−ii−ii−ii
χ361111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111−i−iii−i−iii111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111−i−i−iiii−i−i−iiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-1-111i−ii−ii−ii−ii−ii−i
χ371111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111-1-1-1-1111ii−i−iii−i−i111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111iii−i−i−iiii−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-11ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-111i−ii−i−ii−ii−ii−ii
χ381111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111-1-1-1-1111−i−iii−i−iii111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111−i−i−iiii−i−i−iiii1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-11−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-111−ii−iii−ii−ii−ii−i
χ391111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1111111111ii−i−iii−i−i111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1iii−i−i−iiii−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-11-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii-1-11111-1-111-1-1−ii−iii−ii−ii−ii−i
χ401111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1111111111−i−iii−i−iii111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1−i−i−iiii−i−i−iiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-11-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i-1-11111-1-111-1-1i−ii−i−ii−ii−ii−ii
χ411111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-1-1-1111ii−i−iii−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111iii−i−i−iiii−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1-1-111−ii−iii−ii−i−ii−ii
χ421111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-1-1-1111−i−iii−i−iii111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111−i−i−iiii−i−i−iiii-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-1-11111-1-1-1-111i−ii−i−ii−iii−ii−i
χ431111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111ii−i−iii−i−i111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1iii−i−i−iiii−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii11-1-1-1-11111-1-1i−ii−i−ii−iii−ii−i
χ441111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111−i−iii−i−iii111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1−i−i−iiii−i−i−iiii-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i11-1-1-1-11111-1-1−ii−iii−ii−i−ii−ii
χ451111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1111ii−i−iii−i−i111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1iii−i−i−iiii−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-11111-1-1−ii−ii−ii−iii−ii−i
χ461111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1111−i−iii−i−iii111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1−i−i−iiii−i−i−iiii-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-11111-1-1i−ii−ii−ii−i−ii−ii
χ471111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111ii−i−iii−i−i111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111iii−i−i−iiii−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111i−ii−ii−ii−i−ii−ii
χ481111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111−i−iii−i−iii111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111−i−i−iiii−i−i−iiii-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111−ii−ii−ii−iii−ii−i
χ491111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1-1-1-1-1111ii−i−i−i−iii-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1iii−i−i−i−i−i−iiii-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-111-1-111-1-111i−i−iii−i−iii−i−ii
χ501111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-1-111-1-111-1-111-1-1-1-1-1-1111−i−iiiii−i−i-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−i−iiiiiii−i−i−i-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111-1-111−iii−i−iii−i−iii−i
χ511111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111ii−i−i−i−iii-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111iii−i−i−i−i−i−iiii-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-11ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-111-1-111-1-1−iii−i−iii−i−iii−i
χ521111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111−i−iiiii−i−i-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111−i−i−iiiiiii−i−i−i-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-11−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-111-1-111-1-1i−i−iii−i−iii−i−ii
χ531111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111-1-1-1-1111ii−i−i−i−iii-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111iii−i−i−i−i−i−iiii-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-11ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1i−i−ii−iii−i−iii−i
χ541111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-111-1-1-1-111-1-111-1-1-1-1111−i−iiiii−i−i-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111−i−i−iiiiiii−i−i−i-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-11−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1−iii−ii−i−iii−i−ii
χ551111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1111111111ii−i−i−i−iii-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1iii−i−i−i−i−i−iiii-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111-1-111−iii−ii−i−iii−i−ii
χ561111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1111111111−i−iiiii−i−i-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1−i−i−iiiiiii−i−i−i-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111-1-111i−i−ii−iii−i−iii−i
χ571111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-1-1-1111ii−i−i−i−iii-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111iii−i−i−i−i−i−iiii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-11−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-11111-1-1−iii−ii−i−ii−iii−i
χ581111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-11111-1-1-1-111-1-1-1-1111−i−iiiii−i−i-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111−i−i−iiiiiii−i−i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-11ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-11111-1-1i−i−ii−iii−ii−i−ii
χ591111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111ii−i−i−i−iii-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1iii−i−i−i−i−i−iiii1111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-111i−i−ii−iii−ii−i−ii
χ601111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111−i−iiiii−i−i-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1−i−i−iiiiiii−i−i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11-1-111-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-111−iii−ii−i−ii−iii−i
χ611111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1111ii−i−i−i−iii-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1iii−i−i−i−i−i−iiii1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1-1-111−iii−i−iii−ii−i−ii
χ621111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1111−i−iiiii−i−i-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1−i−i−iiiiiii−i−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1-1-111i−i−iii−i−ii−iii−i
χ631111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111ii−i−i−i−iii-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111iii−i−i−i−i−i−iiii1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-1i−i−iii−i−ii−iii−i
χ641111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111−i−iiiii−i−i-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111−i−i−iiiiiii−i−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-111-1-11111-1-1−iii−i−iii−ii−i−ii
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χ2228-8-88−8i8i8i−8i00000000000000004i2−4i2−4i24i242−42−4242000000000000-444-40000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000000000000000000000000000000000000000000000
χ2238-8-88−8i8i8i−8i0000000000000000−4i24i24i2−4i2−424242−420000000000004-4-44000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000000000000000000000000000000000000000000000
χ2248-8-88−8i8i8i−8i0000000000000000−4i24i24i2−4i2−424242−42000000000000-444-40000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i222−22−222200000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.