Finite Group Databasebeta

← Group #13139956

Character table — Group #13139956

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111222222222222444466666666666666666666666699999999121212121212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order12224444223446661212121266121233666666666612121212121212121212121244444444366666666612121212121212121212444488888888888888881212121212121212121212121212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-11-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111-1-11-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111-1-11-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1-1111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1111-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ171-11-1ii−i−i1-11i−i1-1-1ii−i−i1-1i−i111-111-1-1-1-11-1ii−i−iii−i−iii−i−i11-1-1ii−i−i11-11-111-1-1-1i−iii−i−iii−i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i11-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ181-11-1ii−i−i1-11i−i1-1-1ii−i−i1-1i−i111-111-1-1-1-11-1ii−i−iii−i−iii−i−i11-1-1ii−i−i11-11-111-1-1-1i−iii−i−iii−i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ191-11-1ii−i−i1-11i−i1-1-1ii−i−i1-1i−i111-111-1-1-1-11-1ii−i−iii−i−iii−i−i-1-111−i−iii11-11-111-1-1-1i−iii−i−iii−i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii-1-111−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ201-11-1ii−i−i1-11i−i1-1-1ii−i−i1-1i−i111-111-1-1-1-11-1ii−i−iii−i−iii−i−i-1-111−i−iii11-11-111-1-1-1i−iii−i−iii−i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iii-1-111−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ211-11-1ii−i−i-111−ii1-1-1ii−i−i-11−ii111-1-1-111-1-11-1ii−i−i−i−iiiii−i−i11-1-1ii−i−i1-111-1-1-111-1−iiii−i−i−i−iii-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i-1-111−i−iiiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ221-11-1ii−i−i-111−ii1-1-1ii−i−i-11−ii111-1-1-111-1-11-1ii−i−i−i−iiiii−i−i11-1-1ii−i−i1-111-1-1-111-1−iiii−i−i−i−iii-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i-1-111−i−iii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ231-11-1ii−i−i-111−ii1-1-1ii−i−i-11−ii111-1-1-111-1-11-1ii−i−i−i−iiiii−i−i-1-111−i−iii1-111-1-1-111-1−iiii−i−i−i−iii1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iii11-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ241-11-1ii−i−i-111−ii1-1-1ii−i−i-11−ii111-1-1-111-1-11-1ii−i−i−i−iiiii−i−i-1-111−i−iii1-111-1-1-111-1−iiii−i−i−i−iii1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ251-11-1−i−iii1-11−ii1-1-1−i−iii1-1−ii111-111-1-1-1-11-1−i−iii−i−iii−i−iii11-1-1−i−iii11-11-111-1-1-1−ii−i−iii−i−iii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ261-11-1−i−iii1-11−ii1-1-1−i−iii1-1−ii111-111-1-1-1-11-1−i−iii−i−iii−i−iii11-1-1−i−iii11-11-111-1-1-1−ii−i−iii−i−iii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii11-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ271-11-1−i−iii1-11−ii1-1-1−i−iii1-1−ii111-111-1-1-1-11-1−i−iii−i−iii−i−iii-1-111ii−i−i11-11-111-1-1-1−ii−i−iii−i−iii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−i-1-111ii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ281-11-1−i−iii1-11−ii1-1-1−i−iii1-1−ii111-111-1-1-1-11-1−i−iii−i−iii−i−iii-1-111ii−i−i11-11-111-1-1-1−ii−i−iii−i−iii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i-1-111ii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ291-11-1−i−iii-111i−i1-1-1−i−iii-11i−i111-1-1-111-1-11-1−i−iiiii−i−i−i−iii11-1-1−i−iii1-111-1-1-111-1i−i−i−iiiii−i−i-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii-1-111ii−i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ301-11-1−i−iii-111i−i1-1-1−i−iii-11i−i111-1-1-111-1-11-1−i−iiiii−i−i−i−iii11-1-1−i−iii1-111-1-1-111-1i−i−i−iiiii−i−i-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii-1-111ii−i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ311-11-1−i−iii-111i−i1-1-1−i−iii-11i−i111-1-1-111-1-11-1−i−iiiii−i−i−i−iii-1-111ii−i−i1-111-1-1-111-1i−i−i−iiiii−i−i1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i11-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ321-11-1−i−iii-111i−i1-1-1−i−iii-11i−i111-1-1-111-1-11-1−i−iiiii−i−i−i−iii-1-111ii−i−i1-111-1-1-111-1i−i−i−iiiii−i−i1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−i11-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ332222222222222222222222222-122-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1222222222222-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222222222222222222222222-122-1-1-1-12-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000000000000011111111111111110000000000000000
χ35222222222222222222222222-12-1-12222-122222222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222000000000000000000000000-1-1-1-1-1-1-1-1
χ36222222222222222222222222-12-1-12222-122222222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-200000000000000000000000011111111
χ3722222222-2-22-2-22222222-2-2-2-22-12211112-1-1-1-1-1-1-11111222222222222-1-2-2-1-11111-1-2-2-1-1-1-11111-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111110000000000000000
χ3822222222-2-22-2-22222222-2-2-2-22-12211112-1-1-1-1-1-1-111112222-2-2-2-2-2-2-2-2-1-2-2-1-11111-1-2-2-1-1-1-111112222000000000000000011111111-1-1-1-1-1-1-1-10000000000000000
χ3922222222-2-22-2-22222222-2-2-2-2-12-1-1-2-2-2-2-12222222-2-2-2-2-1-1-1-100000000-111-1-11111-111-1-1-1-111110000000000002222-2-2-2-2000000000000000000000000-1-1-1-11111
χ4022222222-2-22-2-22222222-2-2-2-2-12-1-1-2-2-2-2-12222222-2-2-2-2-1-1-1-100000000-111-1-11111-111-1-1-1-11111000000000000-2-2-2-222220000000000000000000000001111-1-1-1-1
χ412222-2-2-2-2222-2-2222-2-2-2-222-2-22-122-1-1-1-12-1-1-111111111-2-2-2-22222-2-2-2-2-122-1-1-1-1-1-1-1-2-21111111122-2-20000000000000000-1-1-1-11111-1-1-1-111110000000000000000
χ422222-2-2-2-2222-2-2222-2-2-2-222-2-22-122-1-1-1-12-1-1-111111111-2-2-2-2-2-2-2-22222-122-1-1-1-1-1-1-1-2-211111111-2-22200000000000000001111-1-1-1-11111-1-1-1-10000000000000000
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χ1084-4-44−4i4i4i−4i00400-44-4−4i4i4i−4i0000-2-22-22i3−2i3−2i32i3222-22i−2i−2i2i23−23−23232i−2i−2i2i00000000100-11−i3i3i3−i3-100−iii−i−333−30000000000000000000000000000000000000000000000000000
χ1096666666666-366-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000022222222000000000000000000000000-1-1-1-1-1-1-1-100000000
χ1106666666666-366-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000-2-2-2-2-2-2-2-20000000000000000000000001111111100000000
χ11166666666-6-6-3-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000000000002222-2-2-2-2000000000000000000000000-1-1-1-1111100000000
χ11266666666-6-6-3-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000-2-2-2-222220000000000000000000000001111-1-1-1-100000000
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χ1146666-6-6-6-666-3-6-6-3-3-33333-3-33300000000000000000000000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000ii−i−iii−i−i00000000
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χ1166666-6-6-6-6-6-6-366-3-3-3333333-3-300000000000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000ii−i−i−i−iii00000000
χ1176-66-66i6i−6i−6i6-6-36i−6i-333−3i−3i3i3i-33−3i3i000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ1186-66-66i6i−6i−6i6-6-36i−6i-333−3i−3i3i3i-33−3i3i00000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ1196-66-66i6i−6i−6i-66-3−6i6i-333−3i−3i3i3i3-33i−3i000000000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1300000000
χ1206-66-66i6i−6i−6i-66-3−6i6i-333−3i−3i3i3i3-33i−3i00000000000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1300000000
χ1216-66-6−6i−6i6i6i6-6-3−6i6i-3333i3i−3i−3i-333i−3i00000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ1226-66-6−6i−6i6i6i6-6-3−6i6i-3333i3i−3i−3i-333i−3i000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ1236-66-6−6i−6i6i6i-66-36i−6i-3333i3i−3i−3i3-3−3i3i00000000000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2300000000
χ1246-66-6−6i−6i6i6i-66-36i−6i-3333i3i−3i−3i3-3−3i3i000000000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2300000000
χ1251212-12-1212-1212-1200-60066-6-66-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1261212-12-12-1212-121200-60066-66-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12712-12-121212i−12i−12i12i00-6006-66−6i6i6i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12812-12-1212−12i12i12i−12i00-6006-666i−6i−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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