Finite Group Databasebeta

← Group #72286407

Character table — Group #72286407

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size1111111122222222222222224444444444444444448888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161632323232
order1222222244444444444444442244448888888888888888888888888888881616161616161616161616161616161622224444888888888888888816161616161616162244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i11-1-1
χ1011111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiii-1-111
χ1111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii−i−iiiiiii−i−i−i−i-1-111
χ1211111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii11-1-1
χ1311111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiiiii−i−i−i−iii−i−i−i−i−i−iiiii-1-111
χ1411111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iii−i−i−i−iiiiiii−i−iiiii−i−i−i−i11-1-1
χ1511111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−iii−i−i−i−iiiii11-1-1
χ1611111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i-1-111
χ171111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-11-11-111-1-111-1-1-1-1-1-111-1-111-1-11-11-1
χ181111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1-1-111-1-111-1-1-1-1-1-111-1-111-11-11
χ191111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-11-1-1-111-1-111111111-1-111-1-1-11-11
χ201111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-111-1-111-1-11111-1-111-1-1111-11-1
χ211111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-11-1111-1-111-1-1-1-1-1-1-1-111-1-111-11-11
χ221111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-11-11-1-111-1-111-1-1-1-111-1-111-1-11-11-1
χ231111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-11-11-1-111-1-1111111-1-111-1-1111-11-1
χ241111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-1111-1-111-1-1111111-1-111-1-1-11-11
χ251111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-111i−i−iiii−i−i−i−iii−i−iiiii−i−i−i−iii1-1-11
χ261111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1-1-111i−i−ii−i−iiiii−i−i−i−iii−i−iiiii−i−i-111-1
χ271111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-11111-1-1i−i−ii−i−iiiii−i−iii−i−iii−i−i−i−iii-111-1
χ281111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111ii−i−i−i−iii−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-11111-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ291111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-11111-1-1−iii−iii−i−i−i−iii−i−iii−i−iiiii−i−i-111-1
χ301111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111−i−iiiii−i−iiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-11111-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-11
χ311111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-111−iii−i−i−iiiii−i−iii−i−i−i−iiiii−i−i1-1-11
χ321111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1-1-111−iii−iii−i−i−i−iiiii−i−iii−i−i−i−iii-111-1
χ33222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-2-2-2000000000000000000000000
χ34222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222000000000000000000000000
χ3522222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-222222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000−2i−2i2i2i000000000000000000000000
χ3622222222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-22222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000002i2i−2i−2i000000000000000000000000
χ372222222222-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-222-2-200000000000000000000000000000000-22-22000000000000000000000000
χ382222222222-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-222000000000000000000000000000000002-22-2000000000000000000000000
χ392222222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-2222222-2-222-2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000−2i2i2i−2i000000000000000000000000
χ402222222222-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-2222222-2-222-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000002i−2i−2i2i000000000000000000000000
χ41222-2-22-2-22-200002i−2i2-22i−2i2i−2i2i−2i0000002-200002i−2i2-22i−2i00000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000022-2-200002i2i−2i−2i000000000000002ζ−2ζ002ζ3−2ζ30000000000000000
χ42222-2-22-2-22-200002i−2i2-22i−2i2i−2i2i−2i0000002-200002i−2i2-22i−2i00000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30000-2-2220000−2i−2i2i2i00000000000000−2ζ2ζ00−2ζ32ζ30000000000000000
χ43222-2-22-2-22-200002i−2i2-22i−2i2i−2i2i−2i0000002-200002i−2i2-22i−2i0000000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000022-2-200002i2i−2i−2i00000000000000−2ζ2ζ00−2ζ32ζ30000000000000000
χ44222-2-22-2-22-200002i−2i2-22i−2i2i−2i2i−2i0000002-200002i−2i2-22i−2i0000000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30000-2-2220000−2i−2i2i2i000000000000002ζ−2ζ002ζ3−2ζ30000000000000000
χ45222-2-22-2-22-20000−2i2i2-2−2i2i−2i2i−2i2i0000002-20000−2i2i2-2−2i2i00000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000022-2-20000−2i−2i2i2i000000000000002ζ3−2ζ3002ζ−2ζ0000000000000000
χ46222-2-22-2-22-20000−2i2i2-2−2i2i−2i2i−2i2i0000002-20000−2i2i2-2−2i2i00000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0000-2-22200002i2i−2i−2i00000000000000−2ζ32ζ300−2ζ2ζ0000000000000000
χ47222-2-22-2-22-20000−2i2i2-2−2i2i−2i2i−2i2i0000002-20000−2i2i2-2−2i2i0000000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000022-2-20000−2i−2i2i2i00000000000000−2ζ32ζ300−2ζ2ζ0000000000000000
χ48222-2-22-2-22-20000−2i2i2-2−2i2i−2i2i−2i2i0000002-20000−2i2i2-2−2i2i0000000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0000-2-22200002i2i−2i−2i000000000000002ζ3−2ζ3002ζ−2ζ0000000000000000
χ492-2-2222-2-2-2200002i−2i2-2−2i2i2i−2i−2i2i0000002-200002i−2i-22−2i2i00000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ22-2-200002i2i−2i−2i00000000000000002ζ3−2ζ3002ζ−2ζ000000000000000000
χ502-2-2222-2-2-2200002i−2i2-2−2i2i2i−2i−2i2i0000002-200002i−2i-22−2i2i00000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ-2-2220000−2i−2i2i2i0000000000000000−2ζ32ζ300−2ζ2ζ000000000000000000
χ512-2-2222-2-2-2200002i−2i2-2−2i2i2i−2i−2i2i0000002-200002i−2i-22−2i2i0000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ22-2-200002i2i−2i−2i0000000000000000−2ζ32ζ300−2ζ2ζ000000000000000000
χ522-2-2222-2-2-2200002i−2i2-2−2i2i2i−2i−2i2i0000002-200002i−2i-22−2i2i0000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ-2-2220000−2i−2i2i2i00000000000000002ζ3−2ζ3002ζ−2ζ000000000000000000
χ532-2-2222-2-2-220000−2i2i2-22i−2i−2i2i2i−2i0000002-20000−2i2i-222i−2i00000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ322-2-20000−2i−2i2i2i00000000000000002ζ−2ζ002ζ3−2ζ3000000000000000000
χ542-2-2222-2-2-220000−2i2i2-22i−2i−2i2i2i−2i0000002-20000−2i2i-222i−2i00000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3-2-22200002i2i−2i−2i0000000000000000−2ζ2ζ00−2ζ32ζ3000000000000000000
χ552-2-2222-2-2-220000−2i2i2-22i−2i−2i2i2i−2i0000002-20000−2i2i-222i−2i0000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ322-2-20000−2i−2i2i2i0000000000000000−2ζ2ζ00−2ζ32ζ3000000000000000000
χ562-2-2222-2-2-220000−2i2i2-22i−2i−2i2i2i−2i0000002-20000−2i2i-222i−2i0000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3-2-22200002i2i−2i−2i00000000000000002ζ−2ζ002ζ3−2ζ3000000000000000000
χ572-2-2-2-22222222-2-222-2-222-2-2-2-22-22-22-2000000000000002i−2i2i−2i2i−2i2i−2i000000002−22−22−22−22−22−22−22−2000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ582-2-2-2-22222222-2-222-2-222-2-2-2-22-22-22-2000000000000002i−2i2i−2i2i−2i2i−2i00000000−22−22−22−22−22−22−22−22000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ592-2-2-2-22222222-2-222-2-222-2-2-2-22-22-22-200000000000000−2i2i−2i2i−2i2i−2i2i000000002−22−22−22−22−22−22−22−2000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ602-2-2-2-22222222-2-222-2-222-2-2-2-22-22-22-200000000000000−2i2i−2i2i−2i2i−2i2i00000000−22−22−22−22−22−22−22−22000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ612-2-2-2-22222222-2-2-2-2-2-2-2-22222-22-222-2000000000000002-22-2-22-22000000002−22−22−22−2−22−22−22−220000000000000000000000002−22−2−22−220000
χ622-2-2-2-22222222-2-2-2-2-2-2-2-22222-22-222-2000000000000002-22-2-22-2200000000−22−22−22−222−22−22−22−2000000000000000000000000−22−222−22−20000
χ632-2-2-2-22222222-2-2-2-2-2-2-2-22222-22-222-200000000000000-22-222-22-2000000002−22−22−22−2−22−22−22−22000000000000000000000000−22−222−22−20000
χ642-2-2-2-22222222-2-2-2-2-2-2-2-22222-22-222-200000000000000-22-222-22-200000000−22−22−22−222−22−22−22−20000000000000000000000002−22−2−22−220000
χ652-2-2-2-222222-2-22222-2-222-2-2-2-2-22-22-22000000000000002i−2i−2i2i2i−2i−2i2i000000002−22−2−22−222−22−2−22−22000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ662-2-2-2-222222-2-22222-2-222-2-2-2-2-22-22-22000000000000002i−2i−2i2i2i−2i−2i2i00000000−22−222−22−2−22−222−22−2000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ672-2-2-2-222222-2-22222-2-222-2-2-2-2-22-22-2200000000000000−2i2i2i−2i−2i2i2i−2i000000002−22−2−22−222−22−2−22−22000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ682-2-2-2-222222-2-22222-2-222-2-2-2-2-22-22-2200000000000000−2i2i2i−2i−2i2i2i−2i00000000−22−222−22−2−22−222−22−2000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ692-2-2-2-222222-2-222-2-2-2-2-2-222222-22-2-22000000000000002-2-22-222-2000000002−22−2−22−22−22−222−22−20000000000000000000000002−2−22−222−20000
χ702-2-2-2-222222-2-222-2-2-2-2-2-222222-22-2-22000000000000002-2-22-222-200000000−22−222−22−22−22−2−22−22000000000000000000000000−222−22−2−220000
χ712-2-2-2-222222-2-222-2-2-2-2-2-222222-22-2-2200000000000000-222-22-2-22000000002−22−2−22−22−22−222−22−2000000000000000000000000−222−22−2−220000
χ722-2-2-2-222222-2-222-2-2-2-2-2-222222-22-2-2200000000000000-222-22-2-2200000000−22−222−22−22−22−2−22−220000000000000000000000002−2−22−222−20000
χ732-2-2-2-2222-2-222-2-22222-2-222-2-22-2-22-222222-2-222-2-2-2-22-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000002i−2i2i−2i000000000000
χ742-2-2-2-2222-2-222-2-22222-2-222-2-22-2-22-222222-2-222-2-2-2-22-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000−2i2i−2i2i000000000000
χ752-2-2-2-2222-2-222-2-22222-2-222-2-22-2-22-22-2-2-2-222-2-22222-22000000000000000000000000000000002-22-22-22-20000000000000000000000000000
χ762-2-2-2-2222-2-222-2-22222-2-222-2-22-2-22-22-2-2-2-222-2-22222-2200000000000000000000000000000000-22-22-22-220000000000000000000000000000
χ772-2-2-2-2222-2-222-2-2-2-22222-2-222-222-2-222222-2-2-2-2-2-222-22000000002-2-222-2-220000000000000000000000000000000000002-2-22000000000000
χ782-2-2-2-2222-2-222-2-2-2-22222-2-222-222-2-222222-2-2-2-2-2-222-2200000000-222-2-222-2000000000000000000000000000000000000-222-2000000000000
χ792-2-2-2-2222-2-222-2-2-2-22222-2-222-222-2-22-2-2-2-2222222-2-22-2000000000000000000000000000000002-22-2-22-220000000000000000000000000000
χ802-2-2-2-2222-2-222-2-2-2-22222-2-222-222-2-22-2-2-2-2222222-2-22-200000000000000000000000000000000-22-222-22-20000000000000000000000000000
χ812-2-2-2-2222-2-2-2-2222222-2-222-2-2-222-22-222-2-22222-2-2-2-2-22000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000−2i2i−2i2i000000000000
χ822-2-2-2-2222-2-2-2-2222222-2-222-2-2-222-22-222-2-22222-2-2-2-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000002i−2i2i−2i000000000000
χ832-2-2-2-2222-2-2-2-2222222-2-222-2-2-222-22-2-2-222-2-2-2-222222-2000000000000000000000000000000002-2-222-2-220000000000000000000000000000
χ842-2-2-2-2222-2-2-2-2222222-2-222-2-2-222-22-2-2-222-2-2-2-222222-200000000000000000000000000000000-222-2-222-20000000000000000000000000000
χ852-2-2-2-2222-2-2-2-222-2-22222-2-2222-2-222-222-2-222-2-2-2-2222-2000000002-2-222-2-22000000000000000000000000000000000000-222-2000000000000
χ862-2-2-2-2222-2-2-2-222-2-22222-2-2222-2-222-222-2-222-2-2-2-2222-200000000-222-2-222-20000000000000000000000000000000000002-2-22000000000000
χ872-2-2-2-2222-2-2-2-222-2-22222-2-2222-2-222-2-2-222-2-22222-2-2-22000000000000000000000000000000002-2-22-222-20000000000000000000000000000
χ882-2-2-2-2222-2-2-2-222-2-22222-2-2222-2-222-2-2-222-2-22222-2-2-2200000000000000000000000000000000-222-22-2-220000000000000000000000000000
χ8944444444-4-4444444-4-4-4-4-4-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044444444-4-44444-4-4-4-44444-4-4-4-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144444444-4-4-4-4-4-444-4-4-4-4-4-444-4-444440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244444444-4-4-4-4-4-4-4-4-4-44444-4-444-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ93444-4-44-4-44-400004i−4i4-44i−4i4i−4i4i−4i000000-440000−4i4i-44−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ94444-4-44-4-44-40000−4i4i4-4−4i4i−4i4i−4i4i000000-4400004i−4i-444i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ95444-4-44-4-4-4400004i−4i-44−4i4i−4i4i4i−4i00000000000000000000000000000000000022−22−222200002i2−2i2−2i22i20000000000000000000000000000000000000000
χ96444-4-44-4-4-4400004i−4i-44−4i4i−4i4i4i−4i000000000000000000000000000000000000−222222−220000−2i22i22i2−2i20000000000000000000000000000000000000000
χ97444-4-44-4-4-440000−4i4i-444i−4i4i−4i−4i4i00000000000000000000000000000000000022−22−22220000−2i22i22i2−2i20000000000000000000000000000000000000000
χ98444-4-44-4-4-440000−4i4i-444i−4i4i−4i−4i4i000000000000000000000000000000000000−222222−2200002i2−2i2−2i22i20000000000000000000000000000000000000000
χ994-4-4444-4-44-400004i−4i-444i−4i−4i4i−4i4i000000000000000000000000000000000000000022−22−222200002i2−2i2−2i22i2000000000000000000000000000000000000
χ1004-4-4444-4-44-400004i−4i-444i−4i−4i4i−4i4i0000000000000000000000000000000000000000−222222−220000−2i22i22i2−2i2000000000000000000000000000000000000
χ1014-4-4444-4-44-40000−4i4i-44−4i4i4i−4i4i−4i000000000000000000000000000000000000000022−22−22220000−2i22i22i2−2i2000000000000000000000000000000000000
χ1024-4-4444-4-44-40000−4i4i-44−4i4i4i−4i4i−4i0000000000000000000000000000000000000000−222222−2200002i2−2i2−2i22i2000000000000000000000000000000000000
χ1034-4-4444-4-4-4400004i−4i4-4−4i4i4i−4i−4i4i000000-440000−4i4i4-44i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4444-4-4-440000−4i4i4-44i−4i−4i4i4i−4i000000-4400004i−4i4-4−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ10588-88-8-88-800000000000000000000000042−4242−420000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-88-8000000000000000000000000−4242−42420000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-88-8-88008-88-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-88-8-8800-88-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-888-8-8-88008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-888-8-8-8800-888-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88-88-800000000000000000000000042−42−42420000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-88-88-8000000000000000000000000−424242−420000000000000000000000000000000000000000000000000000000000000000000000000000

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