Finite Group Databasebeta

← Group #13135861

Character table — Group #13135861

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111111122222222222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order123344661212121224668888121224242424242424241616161648484848484848483333666612121212121212122424242424242424242424242424242466661212121224242424242424244848484848484848484848484848484848484848484848484848484848484848246688121216161616242424244848484848484848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ51111111111111111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-111ii−i−i-1-1-1-1iiii−i−i−i−i
χ61111111111111111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-111-1-1−i−iii1111−i−i−i−iiiii
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-111−i−iii-1-1-1-1−i−i−i−iiiii
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-111-1-1ii−i−i1111iiii−i−i−i−i
χ91111-1-111-1-1-1-11-111i−ii−i-1-1ii−i−iii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ131-111i−i-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ101111-1-111-1-1-1-11-111i−ii−i-1-1ii−i−iii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1311111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13-11-1-1−ii11−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ111111-1-111-1-1-1-11-111i−ii−i-1-1ii−i−iii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ131-111i−i-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ121111-1-111-1-1-1-11-111i−ii−i-1-1ii−i−iii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1311111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13-11-1-1−ii11ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ131111-1-111-1-1-1-11-111−ii−ii-1-1−i−iii−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ231-111−ii-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ141111-1-111-1-1-1-11-111−ii−ii-1-1−i−iii−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2311111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23-11-1-1i−i11ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ151111-1-111-1-1-1-11-111−ii−ii-1-1−i−iii−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ231-111−ii-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ161111-1-111-1-1-1-11-111−ii−ii-1-1−i−iii−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2311111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23-11-1-1i−i11−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ172222222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000
χ20222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000
χ21222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000
χ22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000
χ23222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000
χ24222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000
χ252222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-21112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii000000000000000000000000
χ262222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-211−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii000000000000000000000000
χ272222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-12-1-1-12-111-2111-21−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii000000000000000000000000
χ282222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-12-1-1-12111-2111-2−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i000000000000000000000000
χ292222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-2111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i000000000000000000000000
χ302222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-211ii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i000000000000000000000000
χ312222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-12-1-1-12-111-2111-21iiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−i000000000000000000000000
χ322222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-12-1-1-12111-2111-2iiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2i000000000000000000000000
χ33222222222222-2-2-2-222-2-2-2-22222-2-2-2-200000000000022222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222-2-2-2-222-2-2-2-22222-2-2-2-20000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-211100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000000000000000
χ35222222222222-2-2-2-222-2-2-2-22222-2-2-2-20000000000002-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-211100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000000000000000
χ36222222222222-2-2-2-222-2-2-2-22222-2-2-2-2000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-211−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000000000000000
χ37222222222222-2-2-2-222-2-2-2-22222-2-2-2-2000000000000-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-211i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3000000000000000000000000
χ38222222222222-2-2-2-222-2-2-2-22222-2-2-2-2000000000000-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-21−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000000000000000
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χ43222222222222-2-2-2-2-2-222-2-2-2-2-2-222220000000000002-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-21112-1-1-12-1-1-1003−33−33−3003−33−33−300−33−33−3300−33−33−33000000000000000000000000
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χ512222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132-1-1-12-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-21112i−i−i−i−2iiii2ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13000000000000000000000000
χ522222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13-12-1-1-12-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211−i2i−i−ii−2iii−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13000000000000000000000000
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χ542222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13-1-1-12-1-1-12111111-2-2−i−i−i−i−i−i2i2iiiiiii−2i−2i-1-1-12111-2−i−i−i2iiii−2i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000
χ552222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132-1-1-12-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-21112i−i−i−i−2iiii−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ232ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13000000000000000000000000
χ562222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13-12-1-1-12-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211−i2i−i−ii−2iiiζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13000000000000000000000000
χ572222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13-1-12-1-1-12-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-21−i−i2i−iii−2iiζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13000000000000000000000000
χ582222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13-1-1-12-1-1-12111111-2-2−i−i−i−i−i−i2i2iiiiiii−2i−2i-1-1-12111-2−i−i−i2iiii−2iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000
χ592222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232-1-1-12-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-2111−2iiii2i−i−i−i−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ132ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23000000000000000000000000
χ602222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23-12-1-1-12-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-211i−2iii−i2i−i−iζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23000000000000000000000000
χ612222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23-1-12-1-1-12-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-21ii−2ii−i−i2i−iζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23000000000000000000000000
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χ632222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232-1-1-12-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-2111−2iiii2i−i−i−i2ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23000000000000000000000000
χ642222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23-12-1-1-12-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-211i−2iii−i2i−i−i−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23000000000000000000000000
χ652222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23-1-12-1-1-12-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-21ii−2ii−i−i2i−i−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ132ζ5+2ζ132ζ5+2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−2ζ5−2ζ13−2ζ5−2ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−2ζ7−2ζ23−2ζ7−2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ232ζ7+2ζ232ζ7+2ζ23−ζ7−ζ23−ζ7−ζ23000000000000000000000000
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χ14412-12−6−6i3−6+6i3−12i12i6+6i36−6i3−12ζ2212ζ22−12ζ1412ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14512-12−6+6i3−6−6i312i−12i6−6i36+6i312ζ14−12ζ1412ζ22−12ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14612-12−6+6i3−6−6i3−12i12i6−6i36+6i3−12ζ1412ζ14−12ζ2212ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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