Finite Group Databasebeta

← Group #13137408

Character table — Group #13137408

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222222222222266666666666666669999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181818181818181818181818181836363636363636363636363636363636
order1222444434444666121212121212121212121212336666661212121212121212222244443666121212121212121212121212121212121212121244446666888888888888888812121212121212121212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111ii−i−iii−i−iii−i−iii−i−i-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111−i−iii−i−iii−i−iii−i−iii-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i11-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−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
χ1811-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i11-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−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
χ1911-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i-11−ii-1-111ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−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
χ2011-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i-11−ii-1-111−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−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
χ2111-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111−i−iiiii−i−i-1-111−i−iii-11−ii11-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−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
χ2211-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111−i−iiiii−i−i-1-111−i−iii-11−ii11-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−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
χ2311-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii11-1-1-1-111−i−iiiii−i−i-1-111−i−iii1-1i−i-1-111ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−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
χ2411-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii11-1-1-1-111−i−iiiii−i−i-1-111−i−iii1-1i−i-1-111−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−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
χ2511-1-1−ii−ii11-1−ii1-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii11-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−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
χ2611-1-1−ii−ii11-1−ii1-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii11-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−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
χ2711-1-1−ii−ii11-1−ii1-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i11-1-111-1-1−i−iii−i−iii11-1-1−i−iii-11i−i-1-111−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−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
χ2811-1-1−ii−ii11-1−ii1-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i11-1-111-1-1−i−iii−i−iii11-1-1−i−iii-11i−i-1-111ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−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
χ2911-1-1−ii−ii1-11i−i1-1-1−i−iii-1-111ii−i−i1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111ii−i−i−i−iii-1-111ii−i−i-11i−i11-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−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
χ3011-1-1−ii−ii1-11i−i1-1-1−i−iii-1-111ii−i−i1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111ii−i−i−i−iii-1-111ii−i−i-11i−i11-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−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
χ3111-1-1−ii−ii1-11i−i1-1-1−i−iii-1-111ii−i−i1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i11-1-1-1-111ii−i−i−i−iii-1-111ii−i−i1-1−ii-1-111−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−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
χ3211-1-1−ii−ii1-11i−i1-1-1−i−iii-1-111ii−i−i1111-1-1-1-1−i−iii−i−iii-1-111ii−i−i11-1-1-1-111ii−i−i−i−iii-1-111ii−i−i1-1−ii-1-111ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−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
χ3322222222222222222222222222222-12-122-1-12-12-12-12-100000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222200000000000000000000-1-1-1-1-1-1-1-1
χ3422222222222222222222222222222-12-122-1-12-12-12-12-100000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-20000000000000000000011111111
χ352222222222222222222222222222-12-12-1-122-12-12-12-1200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1000000002222222200000000000000000000-1-1-1-1-1-1-1-100000000
χ362222222222222222222222222222-12-12-1-122-12-12-12-1200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000000001111111100000000
χ37222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-122-1-12-12-12-12-100000000-1-1-1-1-21-21-21-21-1-1-1-11111111100000000000000002222-2-2-2-200000000000000000000-1-1-1-11111
χ38222222222-2-2-2-22222222-2-2-2-2-2-2-2-22-12-122-1-12-12-12-12-100000000-1-1-1-1-21-21-21-21-1-1-1-1111111110000000000000000-2-2-2-22222000000000000000000001111-1-1-1-1
χ39222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-1-122-12-12-12-1200000000-1-1-1-11-21-21-21-2-1-1-1-111111111000000002222-2-2-2-200000000000000000000-1-1-1-1111100000000
χ40222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-12-12-1-122-12-12-12-1200000000-1-1-1-11-21-21-21-2-1-1-1-11111111100000000-2-2-2-22222000000000000000000001111-1-1-1-100000000
χ412222-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-22-12-122-1-1-21-21-21-2100000000-1-1-1-12-12-1-21-211111-1-1-1-1111100000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−i−iii−i−iii
χ422222-2-2-2-2222-2-2222-2-2-2-22222-2-2-2-22-12-122-1-1-21-21-21-2100000000-1-1-1-12-12-1-21-211111-1-1-1-111110000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000ii−i−iii−i−i
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χ11266-6-6−6i6i−6i6i-3-666i−6i-3333i3i−3i−3i33-3-3−3i−3i3i3i0000000000000000-2-2222i2i−2i−2i0000000000000000000000002-2−2i2i11-1-10000000000000000−i−iii-1-111ii−i−i0000000000000000
χ1136-66-666-6-6-300003-33-33-3333−3333−3333−3333−3300000000000000002-22-22-22-20000000000000000000000000000-11-110000000000000000-11-113−33−33−33−30000000000000000
χ1146-66-666-6-6-300003-33-33-3333−3333−3333−3333−330000000000000000-22-22-22-2200000000000000000000000000001-11-100000000000000001-11-1−33−33−33−330000000000000000
χ1156-66-666-6-6-300003-33-33-33−3333−3333−3333−333300000000000000002-22-22-22-20000000000000000000000000000-11-110000000000000000-11-11−33−33−33−330000000000000000
χ1166-66-666-6-6-300003-33-33-33−3333−3333−3333−33330000000000000000-22-22-22-2200000000000000000000000000001-11-100000000000000001-11-13−33−33−33−30000000000000000
χ1176-66-6-6-666-300003-333-33-333−3333−33−3333−333300000000000000002-22-2-22-220000000000000000000000000000-11-1100000000000000001-11-13−33−3−33−330000000000000000
χ1186-66-6-6-666-300003-333-33-333−3333−33−3333−33330000000000000000-22-222-22-200000000000000000000000000001-11-10000000000000000-11-11−33−333−33−30000000000000000
χ1196-66-6-6-666-300003-333-33-3−3333−333333−3333−3300000000000000002-22-2-22-220000000000000000000000000000-11-1100000000000000001-11-1−33−333−33−30000000000000000
χ1206-66-6-6-666-300003-333-33-3−3333−333333−3333−330000000000000000-22-222-22-200000000000000000000000000001-11-10000000000000000-11-113−33−3−33−330000000000000000
χ1216-6-666i−6i−6i6i-3000033-3−3i3i3i−3i33−33−33333i3−3i3−3i33i300000000000000002-2-222i−2i−2i2i0000000000000000000000000000-111-10000000000000000−iii−i3−3−33i3−i3−i3i30000000000000000
χ1226-6-666i−6i−6i6i-3000033-3−3i3i3i−3i33−33−33333i3−3i3−3i33i30000000000000000-222-2−2i2i2i−2i00000000000000000000000000001-1-110000000000000000i−i−ii−333−3−i3i3i3−i30000000000000000
χ1236-6-666i−6i−6i6i-3000033-3−3i3i3i−3i−333333−33−3i33i33i3−3i300000000000000002-2-222i−2i−2i2i0000000000000000000000000000-111-10000000000000000−iii−i−333−3−i3i3i3−i30000000000000000
χ1246-6-666i−6i−6i6i-3000033-3−3i3i3i−3i−333333−33−3i33i33i3−3i30000000000000000-222-2−2i2i2i−2i00000000000000000000000000001-1-110000000000000000i−i−ii3−3−33i3−i3−i3i30000000000000000
χ1256-6-66−6i6i6i−6i-3000033-33i−3i−3i3i33−33−3333−3i33i33i3−3i300000000000000002-2-22−2i2i2i−2i0000000000000000000000000000-111-10000000000000000i−i−ii3−3−33−i3i3i3−i30000000000000000
χ1266-6-66−6i6i6i−6i-3000033-33i−3i−3i3i33−33−3333−3i33i33i3−3i30000000000000000-222-22i−2i−2i2i00000000000000000000000000001-1-110000000000000000−iii−i−333−3i3−i3−i3i30000000000000000
χ1276-6-66−6i6i6i−6i-3000033-33i−3i−3i3i−333333−333i3−3i3−3i33i300000000000000002-2-22−2i2i2i−2i0000000000000000000000000000-111-10000000000000000i−i−ii−333−3i3−i3−i3i30000000000000000
χ1286-6-66−6i6i6i−6i-3000033-33i−3i−3i3i−333333−333i3−3i3−3i33i30000000000000000-222-22i−2i−2i2i00000000000000000000000000001-1-110000000000000000−iii−i3−3−33−i3i3i3−i30000000000000000

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