Finite Group Databasebeta

← Group #94913

Character table — Group #94913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111111111111111111111222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888
order12222222444444444444444444444444444444444444444422444444444444448888888888888888888888888888888888888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ412222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002-2002-2002-2002-20022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−200000000000000000000000000000000
χ422222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002-2002-2002-2002-200−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ432222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2200-2200-2200-220022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−22200000000000000000000000000000000
χ442222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2200-2200-2200-2200−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−200000000000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002-2002-200-2200-220022−2−222−2−2−2−222−2−22222−2−222−2−2−2−222−2−22200000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002-2002-200-2200-2200−2−222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2200-22002-2002-20022−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−200000000000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2200-22002-2002-200−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−22200000000000000000000000000000000
χ492222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000002-200-22002-200-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ502222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000002-200-22002-200-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ512222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000-22002-200-22002-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ522222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222220000000000000000-22002-200-22002-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000002-200-2200-22002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000002-200-2200-22002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000-22002-2002-200-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-20000000000000000-22002-2002-200-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ5722-2-222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000002i−2i002i−2i002-2002-2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ5822-2-222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000002i−2i002i−2i002-2002-2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ5922-2-222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000−2i2i00−2i2i00-2200-22i2−i2i2−i2i2−i2i2−i22−22−22−22−2−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ6022-2-222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000−2i2i00−2i2i00-2200-22−i2i2−i2i2−i2i2−i2i2−22−22−22−222−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ6122-2-222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000002i−2i002i−2i00-2200-22i2−i2i2−i2i2−i2i2−i2−22−22−22−222−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ6222-2-222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000002i−2i002i−2i00-2200-22−i2i2−i2i2−i2i2−i2i22−22−22−22−2−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ6322-2-222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000−2i2i00−2i2i002-2002-2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000
χ6422-2-222-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000−2i2i00−2i2i002-2002-2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000
χ6522-2-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i00−2i2i002-200-222−22−2−22−22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000000000000000000000000000
χ6622-2-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000002i−2i00−2i2i002-200-22−22−222−22−2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000000000000000000000000000
χ6722-2-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i002i−2i00-22002-22−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000000000000000000000000000
χ6822-2-222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000−2i2i002i−2i00-22002-2−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000000000000000000000000000
χ6922-2-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000002i−2i00−2i2i00-22002-22−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000000000000000000000000000
χ7022-2-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000002i−2i00−2i2i00-22002-2−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000000000000000000000000000
χ7122-2-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i002i−2i002-200-222−22−2−22−22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000000000000000000000000000
χ7222-2-222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000−2i2i002i−2i002-200-22−22−222−22−2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000000000000000000000000000
χ7322-2-2-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i22-2-22i2i−2i−2i2i2i−2i−2i22-2-2000000000000000000000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ7422-2-2-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i22-2-22i2i−2i−2i2i2i−2i−2i22-2-200000000000000000000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ7522-2-2-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-222−2i−2i2i2i−2i−2i2i2i-2-22200000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ7622-2-2-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-2-222−2i−2i2i2i−2i−2i2i2i-2-2220000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-2000000000000000000000000000000000000000000000000
χ7722-2-2-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i22-2-2−2i−2i2i2i−2i−2i2i2i22-2-2000000000000000000000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ7822-2-2-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i22-2-2−2i−2i2i2i−2i−2i2i2i22-2-200000000000000000000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ7922-2-2-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-2222i2i−2i−2i2i2i−2i−2i-2-22200000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-2000000000000000000000000000000000000000000000000
χ8022-2-2-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-2-2222i2i−2i−2i2i2i−2i−2i-2-2220000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-22000000000000000000000000000000000000000000000000
χ8122-2-2-2-222-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i22-2-22i2i−2i−2i−2i−2i2i2i-2-222000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i-222-22-2-2200000000000000000000000000000000
χ8222-2-2-2-222-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i22-2-22i2i−2i−2i−2i−2i2i2i-2-22200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-200000000000000000000000000000000
χ8322-2-2-2-222-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i22-2-200000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ8422-2-2-2-222-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i22-2-20000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ8522-2-2-2-222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i22-2-2−2i−2i2i2i2i2i−2i−2i-2-222000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-200000000000000000000000000000000
χ8622-2-2-2-222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i22-2-2−2i−2i2i2i2i2i−2i−2i-2-22200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i-222-22-2-2200000000000000000000000000000000
χ8722-2-2-2-222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i22-2-200000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ8822-2-2-2-222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i22-2-20000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ892-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ
χ902-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ
χ912-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i-22-22-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ00000000
χ922-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i2-22-22i−2i2i−2i-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ00000000
χ932-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-22−2i2i−2i2i-22-22−2i2i−2i2i2-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000002ζ−2ζ−2ζ32ζ3−2ζ2ζ2ζ3−2ζ3
χ942-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-22−2i2i−2i2i-22-22−2i2i−2i2i2-22-2-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000−2ζ2ζ2ζ3−2ζ32ζ−2ζ−2ζ32ζ3
χ952-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-22−2i2i−2i2i-22-22−2i2i−2i2i-22-222-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000002ζ−2ζ−2ζ32ζ3−2ζ2ζ2ζ3−2ζ300000000
χ962-22-22-22-22i−2i2i−2i2i−2i2i−2i-22-22−2i2i−2i2i-22-22−2i2i−2i2i-22-222-22-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000−2ζ2ζ2ζ3−2ζ32ζ−2ζ−2ζ32ζ300000000
χ972-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ3
χ982-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ3
χ992-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ300000000
χ1002-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i-22-22-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ300000000
χ1012-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-222i−2i2i−2i-22-222i−2i2i−2i2-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000002ζ3−2ζ3−2ζ2ζ−2ζ32ζ32ζ−2ζ
χ1022-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-222i−2i2i−2i-22-222i−2i2i−2i2-22-2-22-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000−2ζ32ζ32ζ−2ζ2ζ3−2ζ3−2ζ2ζ
χ1032-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-222i−2i2i−2i-22-222i−2i2i−2i-22-222-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000002ζ3−2ζ3−2ζ2ζ−2ζ32ζ32ζ−2ζ00000000
χ1042-22-22-22-2−2i2i−2i2i−2i2i−2i2i-22-222i−2i2i−2i-22-222i−2i2i−2i-22-222-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000−2ζ32ζ32ζ−2ζ2ζ3−2ζ3−2ζ2ζ00000000
χ1052-2-22-222-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i-222-2−2i2i2i−2i2-2-222-2-222i−2i−2i2i-222-22i−2i−2i2i0000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ3000000000000000000000000
χ1062-2-22-222-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i-222-2−2i2i2i−2i2-2-222-2-222i−2i−2i2i-222-22i−2i−2i2i000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3000000000000000000000000
χ1072-2-22-222-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i-222-2−2i2i2i−2i2-2-22-222-2−2i2i2i−2i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ30000000000000000
χ1082-2-22-222-22i−2i−2i2i−2i2i2i−2i2i−2i−2i2i-222-2−2i2i2i−2i2-2-22-222-2−2i2i2i−2i2-2-22−2i2i2i−2i00000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ30000000000000000
χ1092-2-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i-222-22-2-22−2i2i2i−2i2-2-222i−2i−2i2i0000000000000000000000000000000000000000000000002ζ−2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ000000000000000000000000
χ1102-2-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i-222-22-2-22−2i2i2i−2i2-2-222i−2i−2i2i000000000000000000000000000000000000000000000000−2ζ2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ000000000000000000000000
χ1112-2-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i-222-2-222-22i−2i−2i2i-222-2−2i2i2i−2i000000000000000000000000000000000000000000000000000000002ζ−2ζ−2ζ32ζ32ζ3−2ζ3−2ζ2ζ0000000000000000
χ1122-2-22-222-22i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i-222-2-222-22i−2i−2i2i-222-2−2i2i2i−2i00000000000000000000000000000000000000000000000000000000−2ζ2ζ2ζ3−2ζ3−2ζ32ζ32ζ−2ζ0000000000000000
χ1132-2-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2-2-22−2i2i2i−2i-222-22-2-222i−2i−2i2i2-2-22−2i2i2i−2i0000000000000000000000000000000000000000000000002ζ3−2ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ3000000000000000000000000
χ1142-2-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2-2-22−2i2i2i−2i-222-22-2-222i−2i−2i2i2-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000−2ζ32ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ3000000000000000000000000
χ1152-2-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2-2-22−2i2i2i−2i-222-2-222-2−2i2i2i−2i-222-22i−2i−2i2i000000000000000000000000000000000000000000000000000000002ζ3−2ζ3−2ζ2ζ2ζ−2ζ−2ζ32ζ30000000000000000
χ1162-2-22-222-2−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2-2-22−2i2i2i−2i-222-2-222-2−2i2i2i−2i-222-22i−2i−2i2i00000000000000000000000000000000000000000000000000000000−2ζ32ζ32ζ−2ζ−2ζ2ζ2ζ3−2ζ30000000000000000
χ1172-2-22-222-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i-222-22i−2i−2i2i2-2-222-2-22−2i2i2i−2i-222-2−2i2i2i−2i0000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ000000000000000000000000
χ1182-2-22-222-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i-222-22i−2i−2i2i2-2-222-2-22−2i2i2i−2i-222-2−2i2i2i−2i000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ000000000000000000000000
χ1192-2-22-222-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i-222-22i−2i−2i2i2-2-22-222-22i−2i−2i2i2-2-222i−2i−2i2i000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ0000000000000000
χ1202-2-22-222-2−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i-222-22i−2i−2i2i2-2-22-222-22i−2i−2i2i2-2-222i−2i−2i2i00000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ0000000000000000
χ1214-44-4-44-444i−4i4i−4i−4i4i−4i4i4-44-44i−4i4i−4i-44-44−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-44-4-44-444i−4i4i−4i−4i4i−4i4i-44-44−4i4i−4i4i4-44-44i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-44-4-44-44−4i4i−4i4i4i−4i4i−4i4-44-4−4i4i−4i4i-44-444i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1244-44-4-44-44−4i4i−4i4i4i−4i4i−4i-44-444i−4i4i−4i4-44-4−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-444-4-444i−4i−4i4i4i−4i−4i4i4i−4i−4i4i-444-44i−4i−4i4i-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-444-4-444i−4i−4i4i4i−4i−4i4i−4i4i4i−4i4-4-44−4i4i4i−4i4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-4-444-4-44−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i4-4-444i−4i−4i4i4-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-444-4-44−4i4i4i−4i−4i4i4i−4i−4i4i4i−4i-444-4−4i4i4i−4i-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.