Finite Group Databasebeta

← Group #13159287

Character table — Group #13159287

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222222224444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212181818181818242424242424242424363636363636363636108108216
order1222333334466666666666666633334466666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212882424242424242424242424242424242444121212124121212121212121222466661212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1
χ6111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11
χ7111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11-1-1-1-111-1-11
χ8111111111111111111111111111111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11111-1-111-1
χ9222222222-2-2222222222222222222200222222222222-2-2-2-2-2-20000-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000022222200000000000-20000-2-2000
χ10222222222-2-2222222222222222222200222222222222-2-2-2-2-2-20000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000-2-2-2-2-2-2000000000002000022000
χ1122222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000000222-1-1-1-1-1-1000
χ1222222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111000000000-2-2-2111111000
χ1322222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000022-1-1-1-1000000000-2-221111-1-1000
χ1422222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1222211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-2111100000000022-2-1-1-1-111000
χ1522222222-1-2-22222-122222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2−i3−i3i3i3-2-2-2-20000000011111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000000000000022-1-1-1-100000000000-2−i3−i3i3i311000
χ1622222222-1-2-22222-122222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2−i3−i3i3i3-2-2-2-20000000011111111−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3000000000000000000-2-21111000000000002i3i3−i3−i3-1-1000
χ1722222222-1-2-22222-122222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2i3i3−i3−i3-2-2-2-20000000011111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000000000000022-1-1-1-100000000000-2i3i3−i3−i311000
χ1822222222-1-2-22222-122222222-1-1-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2i3i3−i3−i3-2-2-2-20000000011111111i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3000000000000000000-2-21111000000000002−i3−i3i3i3-1-1000
χ1922222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000222-1-1-1-1-1-1000000000000
χ2022222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000-2-2-2111111000000000000
χ2122222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111-2-2111111222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2111111000000000000
χ2222222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-1222-1-1-1-2-2-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111000000222-1-1-1-1-1-1000000000000
χ232222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-122-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000002-1-122-1-1-1-1000000000000
χ242222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-122-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-2-2-211111111000000-211-2-21111000000000000
χ252222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-122-12-1-1-2-2-2-2-12-1-111-2-21111-1-122-1-1-1-111-2-2111111-2-2111122-1-1-1-12222-1-1-1-1-1-1-1-1000000-211-2-21111000000000000
χ262222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-122-12-1-1-2-2-2-2-12-1-111-2-21111-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-2111111110000002-1-122-1-1-1-1000000000000
χ272222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-122-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-10000002-1-1-1-122-1-1000000000000
χ282222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-122-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-211111111-2-2-2-21111000000-21111-2-211000000000000
χ292222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-122-1-12-1-2-2-2-2-1-12-11111-2-211-1-1-1-122-1-11111-2-2111111-2-21122-1-1-1-1-1-1-1-12222-1-1-1-1000000-21111-2-211000000000000
χ302222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-122-1-12-1-2-2-2-2-1-12-11111-2-211-1-1-1-122-1-11111-2-2111111-2-211-2-211111111-2-2-2-211110000002-1-1-1-122-1-1000000000000
χ312222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000002-1-1-1-1-1-122000000000000
χ322222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111111111-2-2-2-2000000-2111111-2-2000000000000
χ332222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-1222-1-1-12-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2111111-2-222-1-1-1-1-1-1-1-1-1-1-1-12222000000-2111111-2-2000000000000
χ342222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-12-2-2-1-1-12-1-1-12-1-1-1222-1-1-12-2-2-2-2-1-1-12111111-2-2-1-1-1-1-1-122111111-2-2111111-2-2-2-2111111111111-2-2-2-20000002-1-1-1-1-1-122000000000000
χ352-22-22222200-2-2-2-2-22222-2-2-2-2-22222200-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-222-2-2000000000000000000−i2i20
χ362-22-22222200-2-2-2-2-22222-2-2-2-2-22222200-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2-22-2-222000000000000000000i2−i20
χ372-22-22222200-2-2-2-2-22222-2-2-2-2-22222200-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-222-2-2000000000000000000i2−i20
χ382-22-22222200-2-2-2-2-22222-2-2-2-2-22222200-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2-22-2-222000000000000000000−i2i20
χ392-2-22222222-2-2-2-2-22-2-2-2-22222-2-222222i−2i-2-2-2-22222-2-2-2-22-222222i−2i2i−2i-2-2-2-22i−2i2i−2i2i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000
χ402-2-22222222-2-2-2-2-22-2-2-2-22222-2-22222−2i2i-2-2-2-22222-2-2-2-22-22222−2i2i−2i2i-2-2-2-2−2i2i−2i2i−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000
χ412-2-2222222-22-2-2-2-22-2-2-2-22222-2-2222200-2-2-2-22222-2-2-2-2-22-2-2-2-20000222200000000-22-22-22-2200000000000000000000000000000000000000000000000002-202-22-200000
χ422-2-2222222-22-2-2-2-22-2-2-2-22222-2-2222200-2-2-2-22222-2-2-2-2-22-2-2-2-20000222200000000-22-22-22-220000000000000000000000000000000000000000000000000-220-22-2200000
χ432-2-222222-12-2-2-2-2-2-1-2-2-2-2222211-1-1-1-12i−2i1111-1-1-1-11111-112222−ii−ii-2-2-2-22i−2i2i−2i2i−2i2i−2i-11-11-11-11−ii−ii−ii−ii−ii−ii−ii−ii000000000000000000003−33−3000000000000−i3i3i3−i33−3000
χ442-2-222222-12-2-2-2-2-2-1-2-2-2-2222211-1-1-1-12i−2i1111-1-1-1-11111-112222−ii−ii-2-2-2-22i−2i2i−2i2i−2i2i−2i-11-11-11-11−ii−ii−ii−ii−ii−ii−ii−ii00000000000000000000−33−33000000000000i3−i3−i3i3−33000
χ452-2-222222-12-2-2-2-2-2-1-2-2-2-2222211-1-1-1-1−2i2i1111-1-1-1-11111-112222i−ii−i-2-2-2-2−2i2i−2i2i−2i2i−2i2i-11-11-11-11i−ii−ii−ii−ii−ii−ii−ii−i000000000000000000003−33−3000000000000i3−i3−i3i33−3000
χ462-2-222222-12-2-2-2-2-2-1-2-2-2-2222211-1-1-1-1−2i2i1111-1-1-1-11111-112222i−ii−i-2-2-2-2−2i2i−2i2i−2i2i−2i2i-11-11-11-11i−ii−ii−ii−ii−ii−ii−ii−i00000000000000000000−33−33000000000000−i3i3i3−i3−33000
χ472-2-222222-1-22-2-2-2-2-1-2-2-2-2222211-1-1-1-1001111-1-1-1-111111-1-2-2-2-23−3−332222000000001-11-11-11-13−33−33−33−3−33−33−33−33000000000000000000003−33−30000000002-20-11-11−33000
χ482-2-222222-1-22-2-2-2-2-1-2-2-2-2222211-1-1-1-1001111-1-1-1-111111-1-2-2-2-23−3−332222000000001-11-11-11-13−33−33−33−3−33−33−33−3300000000000000000000−33−33000000000-2201-11-13−3000
χ492-2-222222-1-22-2-2-2-2-1-2-2-2-2222211-1-1-1-1001111-1-1-1-111111-1-2-2-2-2−333−32222000000001-11-11-11-1−33−33−33−333−33−33−33−3000000000000000000003−33−3000000000-2201-11-1−33000
χ502-2-222222-1-22-2-2-2-2-1-2-2-2-2222211-1-1-1-1001111-1-1-1-111111-1-2-2-2-2−333−32222000000001-11-11-11-1−33−33−33−333−33−33−33−300000000000000000000−33−330000000002-20-11-113−3000
χ512-2-222-1-1-122-2-21112-21112-1-1-1-2-22-1-1-12i−2i-21112-1-1-1-21112-22-1-1-12i−2i2i−2i-21112i−2i−ii−ii−ii2-2-11-11-112i−2i−ii−ii−ii2i−2i−ii−ii−ii0000003−33−33−33−33−33−3000000000−i3i3−i3i3−i3i3000000000000
χ522-2-222-1-1-122-2-21112-21112-1-1-1-2-22-1-1-12i−2i-21112-1-1-1-21112-22-1-1-12i−2i2i−2i-21112i−2i−ii−ii−ii2-2-11-11-112i−2i−ii−ii−ii2i−2i−ii−ii−ii000000−33−33−33−33−33−33000000000i3−i3i3−i3i3−i3000000000000
χ532-2-222-1-1-122-2-21112-21112-1-1-1-2-22-1-1-1−2i2i-21112-1-1-1-21112-22-1-1-1−2i2i−2i2i-2111−2i2ii−ii−ii−i2-2-11-11-11−2i2ii−ii−ii−i−2i2ii−ii−ii−i0000003−33−33−33−33−33−3000000000i3−i3i3−i3i3−i3000000000000
χ542-2-222-1-1-122-2-21112-21112-1-1-1-2-22-1-1-1−2i2i-21112-1-1-1-21112-22-1-1-1−2i2i−2i2i-2111−2i2ii−ii−ii−i2-2-11-11-11−2i2ii−ii−ii−i−2i2ii−ii−ii−i000000−33−33−33−33−33−33000000000−i3i3−i3i3−i3i3000000000000
χ552-2-22-12-1-122-21-21121-211-12-1-1-2-2-12-1-12i−2i1-211-12-1-11-2112-2-12-1-12i−2i2i−2i1-211−ii2i−2i−ii−ii-112-2-11-11−ii2i−2i−ii−ii−ii2i−2i−ii−ii003−33−300003−33−3−33−330000000−i3i300−i3i3i3−i3000000000000
χ562-2-22-12-1-122-21-21121-211-12-1-1-2-2-12-1-12i−2i1-211-12-1-11-2112-2-12-1-12i−2i2i−2i1-211−ii2i−2i−ii−ii-112-2-11-11−ii2i−2i−ii−ii−ii2i−2i−ii−ii00−33−330000−33−333−33−30000000i3−i300i3−i3−i3i3000000000000
χ572-2-22-12-1-122-21-21121-211-12-1-1-2-2-12-1-1−2i2i1-211-12-1-11-2112-2-12-1-1−2i2i−2i2i1-211i−i−2i2ii−ii−i-112-2-11-11i−i−2i2ii−ii−ii−i−2i2ii−ii−i003−33−300003−33−3−33−330000000i3−i300i3−i3−i3i3000000000000
χ582-2-22-12-1-122-21-21121-211-12-1-1-2-2-12-1-1−2i2i1-211-12-1-11-2112-2-12-1-1−2i2i−2i2i1-211i−i−2i2ii−ii−i-112-2-11-11i−i−2i2ii−ii−ii−i−2i2ii−ii−i00−33−330000−33−333−33−30000000−i3i300−i3i3i3−i3000000000000
χ592-2-22-1-12-122-211-21211-21-1-12-1-2-2-1-12-12i−2i11-21-1-12-111-212-2-1-12-12i−2i2i−2i11-21−ii−ii2i−2i−ii-11-112-2-11−ii−ii2i−2i−ii−ii−ii2i−2i−ii003−33−3−33−3300003−33−30000000−i3i3i3−i300−i3i3000000000000
χ602-2-22-1-12-122-211-21211-21-1-12-1-2-2-1-12-12i−2i11-21-1-12-111-212-2-1-12-12i−2i2i−2i11-21−ii−ii2i−2i−ii-11-112-2-11−ii−ii2i−2i−ii−ii−ii2i−2i−ii00−33−333−33−30000−33−330000000i3−i3−i3i300i3−i3000000000000
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χ632-2-22-1-1-1222-2111-22111-2-1-1-12-2-2-1-1-122i−2i111-2-1-1-12111-22-2-1-1-122i−2i2i−2i111-2−ii−ii−ii2i−2i-11-11-112-2−ii−ii−ii2i−2i−ii−ii−ii2i−2i003−33−33−33−3−33−3300000000000−i3i3−i3i3i3−i300000000000000
χ642-2-22-1-1-1222-2111-22111-2-1-1-12-2-2-1-1-122i−2i111-2-1-1-12111-22-2-1-1-122i−2i2i−2i111-2−ii−ii−ii2i−2i-11-11-112-2−ii−ii−ii2i−2i−ii−ii−ii2i−2i00−33−33−33−333−33−300000000000i3−i3i3−i3−i3i300000000000000
χ652-2-22-1-1-1222-2111-22111-2-1-1-12-2-2-1-1-12−2i2i111-2-1-1-12111-22-2-1-1-12−2i2i−2i2i111-2i−ii−ii−i−2i2i-11-11-112-2i−ii−ii−i−2i2ii−ii−ii−i−2i2i003−33−33−33−3−33−3300000000000i3−i3i3−i3−i3i300000000000000
χ662-2-22-1-1-1222-2111-22111-2-1-1-12-2-2-1-1-12−2i2i111-2-1-1-12111-22-2-1-1-12−2i2i−2i2i111-2i−ii−ii−i−2i2i-11-11-112-2i−ii−ii−i−2i2ii−ii−ii−i−2i2i00−33−33−33−333−33−300000000000−i3i3−i3i3i3−i300000000000000
χ6744444-2-2-24-4-44-2-2-244-2-2-24-2-2-2444-2-2-2004-2-2-24-2-2-24-2-2-2-4-4-42220000-422200000000-4-42222220000000000000000000000000000000000000000000000000000000000000
χ6844444-2-2-2-2444-2-2-2-24-2-2-24-2-2-2-2-2-211144-2111-2111-2111-2-24-2-2-2-2-2-2-24-2-2-244-2-2-2-2-2-2-2-2111111-2-2111111-2-2111111000000000000000000000000000000000000000000000
χ6944444-2-2-2-2444-2-2-2-24-2-2-24-2-2-2-2-2-2111-4-4-2111-2111-2111-2-24-2-2-222224-2-2-2-4-4222222-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000000000000
χ7044444-2-2-2-2-4-44-2-2-2-24-2-2-24-2-2-2-2-2-211100-2111-2111-211122-4222−2i3−2i32i32i3-42220000000022-1-1-1-1-1-1−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000000000000000
χ7144444-2-2-2-2-4-44-2-2-2-24-2-2-24-2-2-2-2-2-211100-2111-2111-211122-42222i32i3−2i3−2i3-42220000000022-1-1-1-1-1-12i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000000000000000000000
χ724444-24-2-24-4-4-24-2-24-24-2-2-24-2-244-24-2-200-24-2-2-24-2-2-24-2-2-4-42-42200002-4220000000022-4-422220000000000000000000000000000000000000000000000000000000000000
χ734444-24-2-2-244-24-2-2-2-24-2-2-24-2-2-2-21-211441-2111-2111-211-2-2-24-2-2-2-2-2-2-24-2-2-2-244-2-2-2-211-2-2111111-2-2111111-2-21111000000000000000000000000000000000000000000000
χ744444-24-2-2-244-24-2-2-2-24-2-2-24-2-2-2-21-211-4-41-2111-2111-211-2-2-24-2-22222-24-2-222-4-4222211-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000
χ754444-24-2-2-2-4-4-24-2-2-2-24-2-2-24-2-2-2-21-211001-2111-2111-211222-422−2i3−2i32i32i32-42200000000-1-122-1-1-1-1i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i3000000000000000000000000000000000000000000000
χ764444-24-2-2-2-4-4-24-2-2-2-24-2-2-24-2-2-2-21-211001-2111-2111-211222-4222i32i3−2i3−2i32-42200000000-1-122-1-1-1-1−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i3000000000000000000000000000000000000000000000
χ774444-2-24-24-4-4-2-24-24-2-24-2-2-24-244-2-24-200-2-24-2-2-24-2-2-24-2-4-422-42000022-42000000002222-4-4220000000000000000000000000000000000000000000000000000000000000
χ784444-2-24-2-244-2-24-2-2-2-24-2-2-24-2-2-211-214411-2111-2111-21-2-2-2-24-2-2-2-2-2-2-24-2-2-2-2-244-2-21111-2-2111111-2-2111111-2-211000000000000000000000000000000000000000000000
χ794444-2-24-2-244-2-24-2-2-2-24-2-2-24-2-2-211-21-4-411-2111-2111-21-2-2-2-24-22222-2-24-22222-4-4221111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000000000000
χ804444-2-24-2-2-4-4-2-24-2-2-2-24-2-2-24-2-2-211-210011-2111-2111-212222-42−2i3−2i32i32i322-4200000000-1-1-1-122-1-1i3i3i3i3−2i3−2i3i3i3−i3−i3−i3−i32i32i3−i3−i3000000000000000000000000000000000000000000000
χ814444-2-24-2-2-4-4-2-24-2-2-2-24-2-2-24-2-2-211-210011-2111-2111-212222-422i32i3−2i3−2i322-4200000000-1-1-1-122-1-1−i3−i3−i3−i32i32i3−i3−i3i3i3i3i3−2i3−2i3i3i3000000000000000000000000000000000000000000000
χ824444-2-2-244-4-4-2-2-244-2-2-24-2-2-2444-2-2-2400-2-2-24-2-2-24-2-2-24-4-4222-40000222-400000000222222-4-40000000000000000000000000000000000000000000000000000000000000
χ834444-2-2-24-244-2-2-24-2-2-2-24-2-2-24-2-2111-244111-2111-2111-2-2-2-2-2-24-2-2-2-2-2-2-24-2-2-2-2-2-244111111-2-2111111-2-2111111-2-2000000000000000000000000000000000000000000000
χ844444-2-2-24-244-2-2-24-2-2-2-24-2-2-24-2-2111-2-4-4111-2111-2111-2-2-2-2-2-242222-2-2-24222222-4-4111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000000000000
χ854444-2-2-24-2-4-4-2-2-24-2-2-2-24-2-2-24-2-2111-200111-2111-2111-222222-4−2i3−2i32i32i3222-400000000-1-1-1-1-1-122i3i3i3i3i3i3−2i3−2i3−i3−i3−i3−i3−i3−i32i32i3000000000000000000000000000000000000000000000
χ864444-2-2-24-2-4-4-2-2-24-2-2-2-24-2-2-24-2-2111-200111-2111-2111-222222-42i32i3−2i3−2i3222-400000000-1-1-1-1-1-122−i3−i3−i3−i3−i3−i32i32i3i3i3i3i3i3i3−2i3−2i3000000000000000000000000000000000000000000000
χ8744-4-444444004444-4-4-4-4-4-4-4-4-44-44444004444-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8844-4-44444-20044442-4-4-4-4-4-4-4-4-22-2-2-2-200-2-2-2-22222222200000000000000000000000000000000000000000000000000000000000000000023−23−2323000000000000000000000
χ8944-4-44444-20044442-4-4-4-4-4-4-4-4-22-2-2-2-200-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000000000−232323−23000000000000000000000
χ9044-4-44-2-2-24004-2-2-2-4-4222-42224-44-2-2-2004-2-2-2-4222-42220000000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000
χ9144-4-44-2-2-24004-2-2-2-4-4222-42224-44-2-2-2004-2-2-2-4222-42220000000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000
χ9244-4-4-24-2-2400-24-2-2-42-4222-4224-4-24-2-200-24-2-22-4222-422000000000000000000000000000000000000000000000000i6−i6−i6i60000i6−i6−i6i6−i6i6i6−i6000000000000000000000000000
χ9344-4-4-24-2-2400-24-2-2-42-4222-4224-4-24-2-200-24-2-22-4222-422000000000000000000000000000000000000000000000000−i6i6i6−i60000−i6i6i6−i6i6−i6−i6i6000000000000000000000000000
χ9444-4-4-2-24-2400-2-24-2-422-4222-424-4-2-24-200-2-24-222-4222-42000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000i6−i6−i6i6000000000000000000000000000
χ9544-4-4-2-24-2400-2-24-2-422-4222-424-4-2-24-200-2-24-222-4222-42000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000−i6i6i6−i6000000000000000000000000000
χ9644-4-4-2-2-24400-2-2-24-4222-4222-44-4-2-2-2400-2-2-24222-4222-4000000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6−i6i6i6−i60000000000000000000000000000000
χ9744-4-4-2-2-24400-2-2-24-4222-4222-44-4-2-2-2400-2-2-24222-4222-4000000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000000
χ984-44-44444-200-4-4-4-424444-4-4-4-42-2-2-2-2-20022222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000004-4-2-222000000000000000000000
χ994-44-44444-200-4-4-4-424444-4-4-4-42-2-2-2-2-20022222222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000-4422-2-2000000000000000000000
χ1004-44-44-2-2-2400-4222-44-2-2-2-4222-444-2-2-200-4222-42224-2-2-20000000000000000000000000000000000000000000000−2i22i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000
χ1014-44-44-2-2-2400-4222-44-2-2-2-4222-444-2-2-200-4222-42224-2-2-200000000000000000000000000000000000000000000002i2−2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000
χ1024-44-4-24-2-24002-422-4-24-2-22-422-44-24-2-2002-4222-422-24-2-20000000000000000000000000000000000000000000000−2i22i2i2i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000
χ1034-44-4-24-2-24002-422-4-24-2-22-422-44-24-2-2002-4222-422-24-2-200000000000000000000000000000000000000000000002i2−2i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000
χ1044-44-4-2-24-240022-42-4-2-24-222-42-44-2-24-20022-4222-42-2-24-20000000000000000000000000000000000000000000000−2i22i2i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2000000000000000000000000000
χ1054-44-4-2-24-240022-42-4-2-24-222-42-44-2-24-20022-4222-42-2-24-200000000000000000000000000000000000000000000002i2−2i2−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2i2i2000000000000000000000000000
χ1064-44-4-2-2-24400222-4-4-2-2-24222-4-44-2-2-2400222-4222-4-2-2-240000000000000000000000000000000000000000000000−2i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2000000000000000000000000000
χ1074-44-4-2-2-24400222-4-4-2-2-24222-4-44-2-2-2400222-4222-4-2-2-2400000000000000000000000000000000000000000000002i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i2000000000000000000000000000
χ1084-4-444-2-2-24-44-42224-42224-2-2-2-4-44-2-2-200-42224-2-2-2-4222-44-422200004-2-2-200000000-442-22-22-20000000000000000000000000000000000000000000000000000000000000
χ1094-4-444-2-2-2-24-4-4222-2-42224-2-2-222-21114i−4i2-1-1-1-21112-1-1-1-224-2-2-2−2i2i−2i2i-42224i−4i−2i2i−2i2i−2i2i-221-11-11-1−2i2ii−ii−ii−i−2i2ii−ii−ii−i000000000000000000000000000000000000000000000
χ1104-4-444-2-2-2-24-4-4222-2-42224-2-2-222-2111−4i4i2-1-1-1-21112-1-1-1-224-2-2-22i−2i2i−2i-4222−4i4i2i−2i2i−2i2i−2i-221-11-11-12i−2i−ii−ii−ii2i−2i−ii−ii−ii000000000000000000000000000000000000000000000
χ1114-4-444-2-2-2-2-44-4222-2-42224-2-2-222-2111002-1-1-1-21112-1-1-12-2-422223−23−23234-2-2-2000000002-2-11-11-1123−23−33−33−33−23233−33−33−3000000000000000000000000000000000000000000000
χ1124-4-444-2-2-2-2-44-4222-2-42224-2-2-222-2111002-1-1-1-21112-1-1-12-2-4222−232323−234-2-2-2000000002-2-11-11-11−23233−33−33−323−23−33−33−33000000000000000000000000000000000000000000000
χ1134-4-44-24-2-24-442-42242-422-24-2-2-4-4-24-2-2002-422-24-2-22-422-442-4220000-24-2-2000000002-2-442-22-20000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-24-2-2-24-42-422-22-422-24-2-2221-2114i−4i-12-1-11-211-12-1-1-22-24-2-2−2i2i−2i2i2-422−2i2i4i−4i−2i2i−2i2i1-1-221-11-1i−i−2i2ii−ii−ii−i−2i2ii−ii−i000000000000000000000000000000000000000000000
χ1154-4-44-24-2-2-24-42-422-22-422-24-2-2221-211−4i4i-12-1-11-211-12-1-1-22-24-2-22i−2i2i−2i2-4222i−2i−4i4i2i−2i2i−2i1-1-221-11-1−ii2i−2i−ii−ii−ii2i−2i−ii−ii000000000000000000000000000000000000000000000
χ1164-4-44-24-2-2-2-442-422-22-422-24-2-2221-21100-12-1-11-211-12-1-12-22-42223−23−2323-24-2-200000000-112-2-11-11−3323−23−33−333−3−23233−33−3000000000000000000000000000000000000000000000
χ1174-4-44-24-2-2-2-442-422-22-422-24-2-2221-21100-12-1-11-211-12-1-12-22-422−232323−23-24-2-200000000-112-2-11-113−3−23233−33−3−3323−23−33−33000000000000000000000000000000000000000000000
χ1184-4-44-2-24-24-4422-42422-42-2-24-2-4-4-2-24-20022-42-2-24-222-42-4422-420000-2-24-2000000002-22-2-442-20000000000000000000000000000000000000000000000000000000000000
χ1194-4-44-2-24-2-24-422-42-222-42-2-24-22211-214i−4i-1-12-111-21-1-12-1-22-2-24-2−2i2i−2i2i22-42−2i2i−2i2i4i−4i−2i2i1-11-1-221-1i−ii−i−2i2ii−ii−ii−i−2i2ii−i000000000000000000000000000000000000000000000
χ1204-4-44-2-24-2-24-422-42-222-42-2-24-22211-21−4i4i-1-12-111-21-1-12-1-22-2-24-22i−2i2i−2i22-422i−2i2i−2i−4i4i2i−2i1-11-1-221-1−ii−ii2i−2i−ii−ii−ii2i−2i−ii000000000000000000000000000000000000000000000
χ1214-4-44-2-24-2-2-4422-42-222-42-2-24-22211-2100-1-12-111-21-1-12-12-222-4223−23−2323-2-24-200000000-11-112-2-11−33−3323−23−333−33−3−23233−3000000000000000000000000000000000000000000000
χ1224-4-44-2-24-2-2-4422-42-222-42-2-24-22211-2100-1-12-111-21-1-12-12-222-42−232323−23-2-24-200000000-11-112-2-113−33−3−23233−3−33−3323−23−33000000000000000000000000000000000000000000000
χ1234-4-44-2-2-244-44222-44222-4-2-2-24-4-4-2-2-2400222-4-2-2-24222-4-44222-40000-2-2-24000000002-22-22-2-440000000000000000000000000000000000000000000000000000000000000
χ1244-4-44-2-2-24-24-4222-4-2222-4-2-2-2422111-24i−4i-1-1-12111-2-1-1-12-22-2-2-24−2i2i−2i2i222-4−2i2i−2i2i−2i2i4i−4i1-11-11-1-22i−ii−ii−i−2i2ii−ii−ii−i−2i2i000000000000000000000000000000000000000000000
χ1254-4-44-2-2-24-24-4222-4-2222-4-2-2-2422111-2−4i4i-1-1-12111-2-1-1-12-22-2-2-242i−2i2i−2i222-42i−2i2i−2i2i−2i−4i4i1-11-11-1-22−ii−ii−ii2i−2i−ii−ii−ii2i−2i000000000000000000000000000000000000000000000
χ1264-4-44-2-2-24-2-44222-4-2222-4-2-2-2422111-200-1-1-12111-2-1-1-122-2222-423−23−2323-2-2-2400000000-11-11-112-2−33−33−3323−233−33−33−3−2323000000000000000000000000000000000000000000000
χ1274-4-44-2-2-24-2-44222-4-2222-4-2-2-2422111-200-1-1-12111-2-1-1-122-2222-4−232323−23-2-2-2400000000-11-11-112-23−33−33−3−2323−33−33−3323−23000000000000000000000000000000000000000000000
χ12888-8-88-4-4-4-4008-4-4-44-8444-8444-44-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-8-48-4-4-400-48-4-444-8444-844-442-422002-422-24-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8-4-48-4-400-4-48-4444-8444-84-4422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13188-8-8-4-4-48-400-4-4-484444-8444-8-44222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-88-4-4-4-400-844448-4-4-4-84444-4-4222004-2-2-24-2-2-2-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-88-8-48-4-4-4004-8444-48-4-44-8444-42-42200-24-2-2-24-2-22-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-88-8-4-48-4-40044-844-4-48-444-844-422-4200-2-24-2-2-24-222-420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-88-8-4-4-48-400444-84-4-4-48444-84-4222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).