Finite Group Databasebeta

← Group #13143260

Character table — Group #13143260

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size1111111122222222222233333333333333334444444444444444666666666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
order124488882346881212242424243366121212122424242424242424246668812121224242424242433366666121212121212121224242424242424242424242424242424666666666661212121212121212121212242424242424242424242424242424242424242424244444888812121212121212122424242424242424246688121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-11-1-1-1-11-1-111-1-1-1-111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-11-1-1-1-11-1-111-1-1-1-111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−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−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ611111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ711111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11-1-1-1-11-1-111-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ811111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11-1-1-1-11-1-111-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ911111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+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+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ1011111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ1111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11-1-1-1-11-1-111-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ1211111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11-1-1-1-11-1-111-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ131111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ141111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1
χ151111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ161111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111
χ171111-1-1-1-11111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111-1-1111-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ181111-1-1-1-11111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111-1-1111-1-1-1-1-1-11−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ191111-1-1-1-11111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11-1-1111-1-1-1-111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ201111-1-1-1-11111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11-1-1111-1-1-1-111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ211111-1-1-1-11111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111-1-1111-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ221111-1-1-1-11111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111-1-1111-1-1-1-1-1-11−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ231111-1-1-1-11111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11-1-1111-1-1-1-111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ241111-1-1-1-11111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11-1-1111-1-1-1-111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
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χ2711-1-1ii−i−i-1111i−i-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-11-1-1-1−ii111i−i−i−iii111111-1-1-1-1-1-1-1-111i−ii−iii−i−iii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-111111111111−ii−iii−ii−ii−i−i−iii−i−iii−i−iiiii−i−i11-1-1ii−i−iii−i−i11-1-111-1-1-11-1-1−ii11−ii−ii
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χ4211-1-1−i−iii-1111−ii-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1-111−ii1-1-1−ii−i−iii1−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−ζ22ζ22−ζ14ζ14−ii−ζ22ζ22−ζ14ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−i−iii11-1-1−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14
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χ4411-1-1−i−iii-1111−ii-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-11-1-1-1i−i111−iiii−i−i1−1−i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i32−ζ22ζ22−ζ14ζ14−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32ζ22−ζ22ζ14−ζ14−ii−ζ22ζ22−ζ14ζ14ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−i−iii11-1-1−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ4511-1-1−i−iii-1111−ii-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1-111−ii1-1-1−ii−i−iii1−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ζ14ζ14−ζ22ζ22−ii−ζ14ζ14−ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ii−i−i-1-111ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ4611-1-1−i−iii-1111−ii-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1-111−ii1-1-1−ii−i−iii1−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ζ14ζ14−ζ22ζ22−ii−ζ14ζ14−ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−i−iii11-1-1−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22
χ4711-1-1−i−iii-1111−ii-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-11-1-1-1i−i111−iiii−i−i1−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ14−ζ14ζ22−ζ22−ii−ζ14ζ14−ζ22ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ii−i−i-1-111ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22
χ4811-1-1−i−iii-1111−ii-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-11-1-1-1i−i111−iiii−i−i1−1+i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i32−ζ14ζ14−ζ22ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32ζ14−ζ14ζ22−ζ22−ii−ζ14ζ14−ζ22ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−i−iii11-1-1−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ492222222222222222222222222222222222222222222222222222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ50222222222222222222222222222222222222-2-22-2-2-2-22-2-222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1111111-2-2-1-1-1111111-2-2-2-2-1-1-1-1-1-1111111111111000000000000000000000000000000000000
χ5122222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32222222222222222-11+i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000000000000000
χ5222222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-22-2-2-2-22-2-222-2-2-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31+i31−i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000000
χ5322222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32222222222222222-11−i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000000000000000
χ5422222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-2-22-2-2-2-22-2-222-2-2-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31−i31+i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000000
χ5522222222-22-22-2-2222222222222222222222200-20000-200-2-20000222222-2-2222222-2-2-2-2-2-222222222222200-2-2-200000000-2-2-20000000000-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ5622222222-22-22-2-2222222222222222222222200-20000-200-2-20000-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100111−i3i3−i3i3−i3i300111−i3i3−i3i3−i3i30000111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ5722222222-22-22-2-2222222222222222222222200-20000-200-2-20000-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100111i3−i3i3−i3i3−i300111i3−i3i3−i3i3−i30000111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ5822222222-22-22-2-2222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300-20000-200-2-200002−1−i3−1+i32−1−i3−1+i31+i31−i322−1−i3−1−i3−1+i3−1+i31+i31−i31+i31+i31−i31−i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300-21+i31−i300000000-21+i31−i30000000000-2-21+i31+i31−i31−i3000000000000000000000000000000000000000000000000
χ5922222222-22-22-2-2222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300-20000-200-2-20000-11+i321−i32-11+i321−i321+i31−i3-1-11+i321+i321−i321−i321+i31−i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000011−1−i32−1−i32−1+i32−1+i32−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000000000000000000000000000
χ6022222222-22-22-2-2222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300-20000-200-2-20000-11+i321−i32-11+i321−i321+i31−i3-1-11+i321+i321−i321−i321+i31−i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000011−1−i32−1−i32−1+i32−1+i32i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000000000000000000000000000
χ6122222222-22-22-2-2222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300-20000-200-2-200002−1+i3−1−i32−1+i3−1−i31−i31+i322−1+i3−1+i3−1−i3−1−i31−i31+i31−i31−i31+i31+i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300-21−i31+i300000000-21−i31+i30000000000-2-21−i31−i31+i31+i3000000000000000000000000000000000000000000000000
χ6222222222-22-22-2-2222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300-20000-200-2-20000-11−i321+i32-11−i321+i321−i31+i3-1-11−i321−i321+i321+i321−i31+i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000011−1+i32−1+i32−1−i32−1−i32−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000000000000000000000000000000000
χ6322222222-22-22-2-2222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300-20000-200-2-20000-11−i321+i32-11−i321+i321−i31+i3-1-11−i321−i321+i321+i321−i31+i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000011−1+i32−1+i32−1−i32−1−i32i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000000000000000000000000000000000
χ642222-2-2-2-22222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222222-2-2222-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-211111111111122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111000000000000000000000000000000000000
χ652222-2-2-2-22222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22-2-2222-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2111111111111-2-2-1-1-1111111-2-2-1-1-11111112222111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ662222-2-2-2-22222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i322222-2-2222-2-2-2-2-2-2-11+i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i321+i31+i31−i31−i311−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000000000000
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χ682222-2-2-2-22222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i322222-2-2222-2-2-2-2-2-2-11−i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i321−i31−i31+i31+i311−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000000000000000
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χ16112-1212i−12i12ζ7+12ζ23−12ζ7−12ζ23−12ζ5−12ζ1312ζ5+12ζ130-60600−6i6i−6ζ7−6ζ236ζ7+6ζ236ζ5+6ζ13−6ζ5−6ζ13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16212-1212i−12i−12ζ7−12ζ2312ζ7+12ζ2312ζ5+12ζ13−12ζ5−12ζ130-60600−6i6i6ζ7+6ζ23−6ζ7−6ζ23−6ζ5−6ζ136ζ5+6ζ13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16312-12−12i12i−12ζ5−12ζ1312ζ5+12ζ1312ζ7+12ζ23−12ζ7−12ζ230-606006i−6i6ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16412-12−12i12i12ζ5+12ζ13−12ζ5−12ζ13−12ζ7−12ζ2312ζ7+12ζ230-606006i−6i−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.