Finite Group Databasebeta

← Group #72225326

Character table — Group #72225326

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888888888888888888888888888888888888888888883232323232323232323232323232323232323232323232323232323232323232
order1244888822244444448888888888888888888888888844444444448888888888888888881616161616161616161616161616161616161616161616161616161616161616888888881616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232888888888888888816161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ12111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ17111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ18111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ19111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ20111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ21111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ22111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ23111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ24111111111-1-11-1-11111111111111111111111-1-1-1-11111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ25111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i11111111-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ26111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i11111111-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ27111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i11111111-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3
χ28111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i11111111-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3
χ29111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii11111111-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ30111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii11111111-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ31111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii11111111-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ
χ32111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii11111111-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ
χ331111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−i1111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−i1-11-11-11-1
χ341111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−i1111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11-11-11-11−ii−ii−ii−ii−ii−ii−ii−ii-11-11-11-11
χ351111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−i1111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-11-11-11-1−ii−ii−ii−iii−ii−ii−ii−i-11-11-11-11
χ361111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−i1111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-11-11-11-11i−ii−ii−ii−i−ii−ii−ii−ii1-11-11-11-1
χ371111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii-11-111-11-1-11-111-11-1i−ii−i−ii−ii
χ381111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−ii−iii−ii−i1-11-1-11-111-11-1-11-11−ii−iii−ii−i
χ391111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii1-11-1-11-11-11-111-11-1−ii−iii−ii−i
χ401111-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-1-1-111-1-111iiii−i−i−i−i11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−ii−iii−ii−i-11-111-11-11-11-1-11-11i−ii−i−ii−ii
χ411111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111-11-11-11-1i−ii−ii−ii−i−ii−ii−ii−ii-11-11-11-11
χ421111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-11-11-11-11−ii−ii−ii−iii−ii−ii−ii−i1-11-11-11-1
χ431111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-11-11-11-1−ii−ii−ii−ii−ii−ii−ii−ii1-11-11-11-1
χ441111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii1111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11-11-11-11i−ii−ii−ii−ii−ii−ii−ii−i-11-11-11-11
χ451111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii11-1-111-1-111−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii-11-111-11-11-11-1-11-11−ii−iii−ii−i
χ461111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii11-1-111-1-111−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−iii−ii−i1-11-1-11-11-11-111-11-1i−ii−i−ii−ii
χ471111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii11-1-111-1-111−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii1-11-1-11-111-11-1-11-11i−ii−i−ii−ii
χ481111-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-1-1-111-1-111−i−i−i−iiiii11-1-111-1-111−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−ii−iii−ii−i-11-111-11-1-11-111-11-1−ii−iii−ii−i
χ491111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111ii−i−i−i−iii−i−i−i−iiiii-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiζ−ζ−ζζζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3−ζζζ−ζζ3−ζ3−ζ3ζ3−ζζζ−ζζ−ζ−ζζζ3−ζ3−ζ3ζ3
χ501111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111ii−i−i−i−iii−i−i−i−iiiii-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−ζζζ−ζ−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3ζ−ζ−ζζ−ζ3ζ3ζ3−ζ3ζ−ζ−ζζ−ζζζ−ζ−ζ3ζ3ζ3−ζ3
χ511111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111ii−i−i−i−iii−i−i−i−iiiii-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iζ−ζ−ζζζ3−ζ3−ζ3ζ3−ζ3ζ3ζ3−ζ3ζ−ζ−ζζζ3−ζ3−ζ3ζ3−ζζζ−ζ−ζζζ−ζ−ζ3ζ3ζ3−ζ3
χ521111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111ii−i−i−i−iii−i−i−i−iiiii-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−ζζζ−ζ−ζ3ζ3ζ3−ζ3ζ3−ζ3−ζ3ζ3−ζζζ−ζ−ζ3ζ3ζ3−ζ3ζ−ζ−ζζζ−ζ−ζζζ3−ζ3−ζ3ζ3
χ531111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111−i−iiiii−i−i−i−i−i−iiiii-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iζ3−ζ3−ζ3ζ3ζ−ζ−ζζ−ζζζ−ζζ3−ζ3−ζ3ζ3−ζζζ−ζζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ−ζ−ζζ
χ541111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111−i−iiiii−i−i−i−i−i−iiiii-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−ζ3ζ3ζ3−ζ3−ζζζ−ζζ−ζ−ζζ−ζ3ζ3ζ3−ζ3ζ−ζ−ζζ−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3−ζζζ−ζ
χ551111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111−i−iiiii−i−i−i−i−i−iiiii-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiζ3−ζ3−ζ3ζ3ζ−ζ−ζζζ−ζ−ζζ−ζ3ζ3ζ3−ζ3−ζζζ−ζζ3−ζ3−ζ3ζ3−ζ3ζ3ζ3−ζ3−ζζζ−ζ
χ561111-1-1-1-11-1-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111−i−iiiii−i−i−i−i−i−iiiii-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−ζ3ζ3ζ3−ζ3−ζζζ−ζ−ζζζ−ζζ3−ζ3−ζ3ζ3ζ−ζ−ζζ−ζ3ζ3ζ3−ζ3ζ3−ζ3−ζ3ζ3ζ−ζ−ζζ
χ571111-1-1-1-11-1-11-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111111111ii−i−i−i−iiiiiii−i−i−i−i-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iζ−ζ−ζζζ3−ζ3−ζ3ζ3ζ3−ζ3−ζ3ζ3−ζζζ−ζ−ζ3ζ3ζ3−ζ3ζ−ζ−ζζ−ζζζ−ζ−ζ3ζ3ζ3−ζ3
χ581111-1-1-1-11-1-11-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111111111ii−i−i−i−iiiiiii−i−i−i−i-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−ζζζ−ζ−ζ3ζ3ζ3−ζ3−ζ3ζ3ζ3−ζ3ζ−ζ−ζζζ3−ζ3−ζ3ζ3−ζζζ−ζζ−ζ−ζζζ3−ζ3−ζ3ζ3
χ591111-1-1-1-11-1-11-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111111111ii−i−i−i−iiiiiii−i−i−i−i-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiζ−ζ−ζζζ3−ζ3−ζ3ζ3−ζ3ζ3ζ3−ζ3ζ−ζ−ζζ−ζ3ζ3ζ3−ζ3ζ−ζ−ζζζ−ζ−ζζζ3−ζ3−ζ3ζ3
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χ2198-8−8i8i8ζ3−8ζ38ζ−8ζ000000−4−4i4+4i−4+4i4−4i4i−4ζ3−4i+4ζ34+4ζ−4−4ζ−4+4ζ4−4ζ4i+4ζ3−4i−4ζ3−4−4ζ34+4ζ3−4ζ−4i4ζ+4i4ζ−4i−4ζ+4i−4+4ζ34−4ζ3000000−4i24i242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2208-8−8i8i8ζ3−8ζ38ζ−8ζ000000−4−4i4+4i−4+4i4−4i−4i+4ζ34i−4ζ3−4−4ζ4+4ζ4−4ζ−4+4ζ−4i−4ζ34i+4ζ34+4ζ3−4−4ζ34ζ+4i−4ζ−4i−4ζ+4i4ζ−4i4−4ζ3−4+4ζ3000000−4i24i242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2218-8−8i8i−8ζ38ζ3−8ζ8ζ0000004+4i−4−4i4−4i−4+4i4−4ζ−4+4ζ−4i−4ζ34i+4ζ34i−4ζ3−4i+4ζ34+4ζ−4−4ζ4ζ−4i−4ζ+4i4−4ζ3−4+4ζ34+4ζ3−4−4ζ3−4ζ−4i4ζ+4i000000−4i24i242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2228-8−8i8i−8ζ38ζ3−8ζ8ζ0000004+4i−4−4i4−4i−4+4i−4+4ζ4−4ζ4i+4ζ3−4i−4ζ3−4i+4ζ34i−4ζ3−4−4ζ4+4ζ−4ζ+4i4ζ−4i−4+4ζ34−4ζ3−4−4ζ34+4ζ34ζ+4i−4ζ−4i000000−4i24i242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2238-8−8i8i−8ζ38ζ3−8ζ8ζ000000−4−4i4+4i−4+4i4−4i4i+4ζ3−4i−4ζ34−4ζ−4+4ζ−4−4ζ4+4ζ4i−4ζ3−4i+4ζ3−4+4ζ34−4ζ34ζ−4i−4ζ+4i−4ζ−4i4ζ+4i−4−4ζ34+4ζ30000004i2−4i2−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2248-8−8i8i−8ζ38ζ3−8ζ8ζ000000−4−4i4+4i−4+4i4−4i−4i−4ζ34i+4ζ3−4+4ζ4−4ζ4+4ζ−4−4ζ−4i+4ζ34i−4ζ34−4ζ3−4+4ζ3−4ζ+4i4ζ−4i4ζ+4i−4ζ−4i4+4ζ3−4−4ζ30000004i2−4i2−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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