Finite Group Databasebeta

← Group #72342826

Character table — Group #72342826

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
size111111112222222222224444444466666666666666668888888888881212121212121212121212121212121212121212121212121212121212121212161616161616161616161616161616161616161616161616161616161616161624242424242424242424242424242424323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232
order1244888822244488888822448888222244448888888822244488888822222222444444448888888888888888336666661212121212121212242424242424242424242424242424244444444488888888666666666666121212121212121212121212242424242424242424242424242424242424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ411111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ7111111111-1-11-1-111-1-1-1-1111111111-1-111-1-111111-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1
χ8111111111-1-11-1-111-1-1-1-1111111111-1-111-1-111111-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-11111-1-1-1-1−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ9111111111-1-11-1-111-1-1-1-1111111111-1-111-1-111111-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-11111-1-1-1-1−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ10111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-111-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-1-1-1111-1-1-1111-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ11111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-111-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-11111-1-1-1-11111−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ12111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-111-111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-11111-1-1-1-11111−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ1311111111-11-1-11-1-1-111-1-111111111-11-11-11-1111-1-111-1-1-11-1-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-111-1-111-1-111-1-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1
χ1411111111-11-1-11-1-1-111-1-111111111-11-11-11-1111-1-111-1-1-11-1-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211-1-111-1-111-1-111-1-11+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ1511111111-11-1-11-1-1-111-1-111111111-11-11-11-1111-1-111-1-1-11-1-11-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211-1-111-1-111-1-111-1-11−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ1611111111-11-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-11-111-1111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11-11-11-11-11-11-11-11-11-11-1-111-1-111-1-111-1-111-1-111-1-111
χ1711111111-11-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-11-111-1111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-111-1-111-1-111-1-1111+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1811111111-11-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-11-11-11-1111-1-111-1-11-111-1111-1-11111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-111-1-111-1-111-1-1111−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ1911111111-1-11-1-11-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ2011111111-1-11-1-11-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211-1-1-1-11111-1-1-1-1111+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ2111111111-1-11-1-11-1-1-1-11111111111-1-111-1-11111-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211-1-1-1-11111-1-1-1-1111−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ2211111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ2311111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-11111-1-1-1-11111-1-11+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ2411111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-11111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-11111-1-1-1-11111-1-11−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ251111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ261111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ271111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ281111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111
χ291111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-111111111−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ301111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-111111111−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11-1-111-1-11-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-1-1-11111-1-11111-1-11111-1-11111
χ321111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11-1-111-1-11-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-1-1-1-1-1-1-11111−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ331111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11-1-111-1-11-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-1-1-1-1-1-1-11111−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i32−1+i321−i321−i32−1+i321−i321−i32−1−i321+i321+i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ341111-1-1-1-11-1-11-1-1-1-11111-1-1-1-111111-1-111-1-11-1-1-1-11111-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1111-1-1-1111-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ351111-1-1-1-11-1-11-1-1-1-11111-1-1-1-111111-1-111-1-11-1-1-1-11111-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111111-1-1-1-1−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ361111-1-1-1-11-1-11-1-1-1-11111-1-1-1-111111-1-111-1-11-1-1-1-11111-111-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111111-1-1-1-1−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ371111-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1-11-11-11-11-1-111-1-111-11-1-11-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-111-1-11111-1-11111-1-11111-1-111
χ381111-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1-11-11-11-11-1-111-1-111-11-1-11-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-111-1-1-1-111-1-1111+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ391111-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1-11-11-11-11-1-111-1-111-11-1-11-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-111-1-1-1-111-1-1111−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i321−i32−1+i321−i321−i32−1+i321−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ401111-1-1-1-1-11-1-11-111-1-111-1-1-1-11111-11-11-11-11-1-111-1-1111-111-11-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1-11-11-11-11-11-11-11-11-11-11-11-1111-1-111-1-111-1-111-1-111-1-111-1-1
χ411111-1-1-1-1-11-1-11-111-1-111-1-1-1-11111-11-11-11-11-1-111-1-1111-111-11-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111-1-11111-1-111-1-11+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ421111-1-1-1-1-11-1-11-111-1-111-1-1-1-11111-11-11-11-11-1-111-1-1111-111-11-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-111-1-11111-1-111-1-11−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ431111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-111111-1-11111-1-11111-1-11111-1-1
χ441111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-1-1-111-1-11111-1-11+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ451111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-1-1-111-1-11111-1-11−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ461111-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1111-1-1-1111-1-1-1111-1-1-1111-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ471111-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-11111-1-111-1-1-1-1111+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ481111-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-11111-1-111-1-1-1-1111−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i321−i321−i32−1+i32−1+i32−1+i321−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.