Finite Group Databasebeta

← Group #13169290

Character table — Group #13169290

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order12223334466666666612121212333666666666121212121212121212121212444412121212366612121212121224446612121212121212121212121212121212121212121212121212121212121212124444446661212124441212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-111-1-1-11111-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111111111111111-111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111111111111111-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1-11-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111111-1-1-11-1-1-1-11111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1111-1-1111-1-111-1-1-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-111-1-111-1-111-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-111-1-1-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-1-1-111-111-1-1-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-11-1-111-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1111-111-1-111-1-111-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111111-1-1-1-1-1111-1-111-1-1-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-11111-1-1-1-11111-1-11-1-11
χ17222222-12222-12-12-12222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-120222200-1-122-1-10000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-120200000000-1-100
χ18222222-12222-12-12-12222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-202-2-2-200-1-1-2-2-1-10000222200000000-1-1-1-1-1-1-1-1000000111111-20-2000000001100
χ19222222-12222-12-12-12222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-120-2222001122110000-2-2-2-20000000011111111000000-1-1-1-1-1-1-20-2000000001100
χ20222222-12222-12-12-12222222-1-1-12-1-122-1-1-122-1-12222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-20011-2-2110000-2-2-2-2000000001111111100000011111120200000000-1-100
χ21222222-1-2-222-12-12-122-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100220000-1-1-1-111111120-2-2220011-2-2-1-1000022-2-200000000-1-1-1-11111000000-1-1-111120-200000000-1100
χ22222222-1-2-222-12-12-122-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100220000-1-1-1-1111111-20-22-2-2001122-1-1000022-2-200000000-1-1-1-11111000000111-1-1-1-202000000001-100
χ23222222-1-2-222-12-12-122-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-20000-1-1-1-1111111202-22200-1-1-2-2110000-2-222000000001111-1-1-1-1000000-1-1-1111-202000000001-100
χ24222222-1-2-222-12-12-122-2-2-2-22-1-1-12-1-122-1-1-1-2-211-2-2-2-2111100-2-20000-1-1-1-1111111-2022-2-200-1-122110000-2-222000000001111-1-1-1-1000000111-1-1-120-200000000-1100
χ2522222-12222-12-12-12222222-12-1-1-12-1-1-122-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1-1-1-1-12202-1-1-1-100-1-10022220000-1-1-1-1-1-1-1-1000000002222002-1-12-1-1000-1-1-1-100000000
χ2622222-12222-12-12-12222222-12-1-1-12-1-1-122-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-220-211-1-100110022220000-1-1-1-1-1-1-1-100000000-2-2-2-200-211-211000111100000000
χ2722222-12222-12-12-12222222-12-1-1-12-1-1-122-1-1-122-1-1-1-12222-2-2001111-1-1-1-1-1-1-1-1-1-12-202-1-11100-1-100-2-2-2-200001111111100000000-2-2-2-2002-1-12-1-1000111100000000
χ2822222-12222-12-12-12222222-12-1-1-12-1-1-122-1-1-122-1-1-1-12222-2-2001111-1-1-1-1-1-1-1-1-1-1-2-20-21111001100-2-2-2-200001111111100000000222200-211-211000-1-1-1-100000000
χ2922222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-22200-1-1-1-1-1-1-1-11111112-20-2-1-11100110022-2-20000-1-1-1-1111100000000-2-222002-1-1-21100011-1-100000000
χ3022222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-22200-1-1-1-1-1-1-1-1111111-2-202111100-1-10022-2-20000-1-1-1-111110000000022-2-200-2112-1-1000-1-11100000000
χ3122222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-2-2-2001111-1-1-1-1111111220-2-1-1-1-1001100-2-22200001111-1-1-1-10000000022-2-2002-1-1-211000-1-11100000000
χ3222222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-1-122-111-2-21111-2-2-2-2-2-2001111-1-1-1-1111111-220211-1-100-1-100-2-22200001111-1-1-1-100000000-2-22200-2112-1-100011-1-100000000
χ332222-12222-1222222-1-1-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-102200022220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000220000000200000-1-1-1-10000
χ342222-12222-1222222-1-1-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-122-2-22222-1-1-1-122-1-1-1-102-200022-2-200-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111110000-2-20000000-20000011110000
χ352222-12222-1222222-1-1-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-122-1-1-1-10-22000-2-22200221111-1-1-1-111111111-1-1-1-1-1-1-1-10000-2-20000000-20000011110000
χ362222-12222-1222222-1-1-1-1-1-1-1-122-1-12-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-10-2-2000-2-2-2-200-2-21111111111111111111111110000220000000200000-1-1-1-10000
χ372222-122-2-2-1222222-1-11111-1-122-1-12-1-1-1-12-2-2-2-21111111122222222-1-1-1-1-2-211110-2-2000-2-2-2-20022-1-111-1-111-1-1-1-11111-1-1-1-111110000220000000-200000-1-1110000
χ382222-122-2-2-1222222-1-11111-1-122-1-12-1-1-1-12-2-2-2-21111111122-2-22222-1-1-1-1-2-211110-22000-2-22200-2-2-1-11111-1-1-1-1-1-111111111-1-1-1-10000-2-2000000020000011-1-10000
χ392222-122-2-2-1222222-1-11111-1-122-1-12-1-1-1-12-2-2-2-211111111-2-222-2-2-2-2-1-1-1-1-2-2111102-200022-2-2002211-1-1-1-1111111-1-1-1-1-1-1-1-111110000-2-2000000020000011-1-10000
χ402222-122-2-2-1222222-1-11111-1-122-1-12-1-1-1-12-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-21111022000222200-2-211-1-111-1-11111-1-1-1-11111-1-1-1-10000220000000-200000-1-1110000
χ412-22-22222i−2i-2-2-2-2-2222-22i2i−2i−2i2222-2-2-22-22-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000022-2-22i−2i2i2i−2i−2i000000000000000000000000000000000000002i−2i2-2000000000002i−2i2-200000000
χ422-22-22222i−2i-2-2-2-2-2222-22i2i−2i−2i2222-2-2-22-22-2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000022-2-22i−2i2i2i−2i−2i00000000000000000000000000000000000000−2i2i-2200000000000−2i2i-2200000000
χ432-22-2222−2i2i-2-2-2-2-2222-2−2i−2i2i2i2222-2-2-22-22-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i2i−2i−2i2i2i000000000000000000000000000000000000002i−2i-22000000000002i−2i-2200000000
χ442-22-2222−2i2i-2-2-2-2-2222-2−2i−2i2i2i2222-2-2-22-22-2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000022-2-2−2i2i−2i−2i2i2i00000000000000000000000000000000000000−2i2i2-200000000000−2i2i2-200000000
χ452-22-22-122i−2i-21-21-2-122-22i2i−2i−2i-12-1-11-21-112-21−ii2i−2i−i−iii2i2i−2i−2i0000−i3−i3i3i3-1-111−ii−i−iii0000−i3i33−3003−30000000000−i3−i3i3i333−3−3000000002i−2i2-2000−i3i303−3000−ii-1100000000
χ462-22-22-122i−2i-21-21-2-122-22i2i−2i−2i-12-1-11-21-112-21−ii2i−2i−i−iii2i2i−2i−2i0000−i3−i3i3i3-1-111−ii−i−iii0000i3−i33−300−330000000000−i3−i3i3i333−3−300000000−2i2i-22000i3−i30−33000i−i1-100000000
χ472-22-22-122i−2i-21-21-2-122-22i2i−2i−2i-12-1-11-21-112-21−ii2i−2i−i−iii2i2i−2i−2i0000i3i3−i3−i3-1-111−ii−i−iii0000−i3i3−33003−30000000000i3i3−i3−i3−3−33300000000−2i2i-22000−i3i303−3000i−i1-100000000
χ482-22-22-122i−2i-21-21-2-122-22i2i−2i−2i-12-1-11-21-112-21−ii2i−2i−i−iii2i2i−2i−2i0000i3i3−i3−i3-1-111−ii−i−iii0000i3−i3−3300−330000000000i3i3−i3−i3−3−333000000002i−2i2-2000i3−i30−33000−ii-1100000000
χ492-22-22-12−2i2i-21-21-2-122-2−2i−2i2i2i-12-1-11-21-112-21i−i−2i2iii−i−i−2i−2i2i2i0000−i3−i3i3i3-1-111i−iii−i−i0000−i3i3−3300−330000000000−i3−i3i3i3−3−33300000000−2i2i2-2000−i3i30−33000i−i-1100000000
χ502-22-22-12−2i2i-21-21-2-122-2−2i−2i2i2i-12-1-11-21-112-21i−i−2i2iii−i−i−2i−2i2i2i0000−i3−i3i3i3-1-111i−iii−i−i0000i3−i3−33003−30000000000−i3−i3i3i3−3−333000000002i−2i-22000i3−i303−3000−ii1-100000000
χ512-22-22-12−2i2i-21-21-2-122-2−2i−2i2i2i-12-1-11-21-112-21i−i−2i2iii−i−i−2i−2i2i2i0000i3i3−i3−i3-1-111i−iii−i−i0000−i3i33−300−330000000000i3i3−i3−i333−3−3000000002i−2i-22000−i3i30−33000−ii1-100000000
χ522-22-22-12−2i2i-21-21-2-122-2−2i−2i2i2i-12-1-11-21-112-21i−i−2i2iii−i−i−2i−2i2i2i0000i3i3−i3−i3-1-111i−iii−i−i0000i3−i33−3003−30000000000i3i3−i3−i333−3−300000000−2i2i2-2000i3−i303−3000i−i-1100000000
χ532-2-2222200-222-2-2-2-2-220000222-2-2-2-2-22-2220000000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000002i−2i2i−2i002i−2i002i−2i2i−2i00002i2i−2i−2i000000002-200000000000002-2000000
χ542-2-2222200-222-2-2-2-2-220000222-2-2-2-2-22-2220000000000002i−2i−2i2i2i−2i2i−2i2-22-2000000000000000000−2i2i2i−2i00−2i2i002i−2i2i−2i0000−2i−2i2i2i00000000-220000000000000-22000000
χ552-2-2222200-222-2-2-2-2-220000222-2-2-2-2-22-222000000000000−2i2i2i−2i−2i2i−2i2i2-22-20000000000000000002i−2i−2i2i002i−2i00−2i2i−2i2i00002i2i−2i−2i00000000-220000000000000-22000000
χ562-2-2222200-222-2-2-2-2-220000222-2-2-2-2-22-222000000000000−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000−2i2i−2i2i00−2i2i00−2i2i−2i2i0000−2i−2i2i2i000000002-200000000000002-2000000
χ572-2-22-12200122-2-2-2-21-13−33−3-1-12-211-21-11-1200003−33−33−33−32i−2i2i−2i2i−2i2i−2i-11-11003−33−30000000000002i−2i−ii−i3i3−ii−i3i3−ii−ii−i3i3−i3i3−i−iii−i3−i3i3i300002-20000000000000-113−30000
χ582-2-22-12200122-2-2-2-21-13−33−3-1-12-211-21-11-1200003−33−33−33−32i−2i−2i2i2i−2i2i−2i-11-11003−33−3000000000000−2i2i−ii−i3i3i−ii3−i3−ii−ii−i3i3−i3i3ii−i−ii3i3−i3−i30000-2200000000000001-1−330000
χ592-2-22-12200122-2-2-2-21-13−33−3-1-12-211-21-11-1200003−33−33−33−3−2i2i2i−2i−2i2i−2i2i-11-11003−33−30000000000002i−2ii−ii3−i3−ii−i3i3i−ii−ii3−i3i3−i3−i−iii−i3−i3i3i30000-2200000000000001-1−330000
χ602-2-22-12200122-2-2-2-21-13−33−3-1-12-211-21-11-1200003−33−33−33−3−2i2i−2i2i−2i2i−2i2i-11-11003−33−3000000000000−2i2ii−ii3−i3i−ii3−i3i−ii−ii3−i3i3−i3ii−i−ii3i3−i3−i300002-20000000000000-113−30000
χ612-2-22-12200122-2-2-2-21-1−33−33-1-12-211-21-11-120000−33−33−33−332i−2i2i−2i2i−2i2i−2i-11-1100−33−330000000000002i−2i−iii3−i3−iii3−i3−ii−iii3−i3i3−i3−i−iiii3i3−i3−i300002-20000000000000-11−330000
χ622-2-22-12200122-2-2-2-21-1−33−33-1-12-211-21-11-120000−33−33−33−332i−2i−2i2i2i−2i2i−2i-11-1100−33−33000000000000−2i2i−iii3−i3i−i−i3i3−ii−iii3−i3i3−i3ii−i−i−i3−i3i3i30000-2200000000000001-13−30000
χ632-2-22-12200122-2-2-2-21-1−33−33-1-12-211-21-11-120000−33−33−33−33−2i2i2i−2i−2i2i−2i2i-11-1100−33−330000000000002i−2ii−i−i3i3−iii3−i3i−ii−i−i3i3−i3i3−i−iiii3i3−i3−i30000-2200000000000001-13−30000
χ642-2-22-12200122-2-2-2-21-1−33−33-1-12-211-21-11-120000−33−33−33−33−2i2i−2i2i−2i2i−2i2i-11-1100−33−33000000000000−2i2ii−i−i3i3i−i−i3i3i−ii−i−i3i3−i3i3ii−i−i−i3−i3i3i300002-20000000000000-11−330000
χ6544444-2-2444-2-2-2-2-2-2444444-2-211-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-20000000011111111114004-2-20000-2-200000000000000000000000000000000-211-211000000000000000
χ6644444-2-2444-2-2-2-2-2-2444444-2-211-2-21-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2000000001111111111-400-422000022000000000000000000000000000000002-1-12-1-1000000000000000
χ6744444-2-2-4-44-2-2-2-2-2-244-4-4-4-4-2-211-2-21-2-2-2-21222222222222000000001111-1-1-1-1-1-1400-4-2-200002200000000000000000000000000000000-2112-1-1000000000000000
χ6844444-2-2-4-44-2-2-2-2-2-244-4-4-4-4-2-211-2-21-2-2-2-21222222222222000000001111-1-1-1-1-1-1-4004220000-2-2000000000000000000000000000000002-1-1-211000000000000000
χ694444-24-244-24-24-24-2-2-2-2-2-2-2-21-2-2-21-2-2-211-244-2-2-2-2-2-21111004400001111-2-2111100400000-2-200-2-20000-2-2-2-20000000011111111000000000000000000000000000
χ704444-24-244-24-24-24-2-2-2-2-2-2-2-21-2-2-21-2-2-211-244-2-2-2-2-2-2111100-4-400001111-2-2111100-4000002200220000222200000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ714444-24-2-4-4-24-24-24-2-2-22222-21-2-2-21-2-2-211-2-4-4222222-1-1-1-100440000111122-1-1-1-100-4000002200-2-20000-2-222000000001111-1-1-1-1000000000000000000000000000
χ724444-24-2-4-4-24-24-24-2-2-22222-21-2-2-21-2-2-211-2-4-4222222-1-1-1-100-4-40000111122-1-1-1-100400000-2-20022000022-2-200000000-1-1-1-11111000000000000000000000000000
χ734444-2-2444-2-24-24-24-2-2-2-2-2-21-2-2-21-2-211-2-2-2-2-2441111-2-2-2-24400-2-2-2-21111-2-21111040000-2-2000000-2-2-2-200001111111100000000000000000000000000000000000
χ744444-2-2444-2-24-24-24-2-2-2-2-2-21-2-2-21-2-211-2-2-2-2-2441111-2-2-2-2-4-40022221111-2-211110-400002200000022220000-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ754444-2-24-4-4-2-24-24-24-2-222221-2-2-21-2-211-2-2-222-4-4-1-1-1-122224400-2-2-2-2111122-1-1-1-10-4000022000000-2-22200001111-1-1-1-100000000000000000000000000000000000
χ764444-2-24-4-4-2-24-24-24-2-222221-2-2-21-2-211-2-2-222-4-4-1-1-1-12222-4-4002222111122-1-1-1-1040000-2-200000022-2-20000-1-1-1-1111100000000000000000000000000000000000
χ7744-4-4444004-4-444-4-4-4-40000444-4444-4-4-4-4-4000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-444-2004-424-2-42-4-400004-2-224-2-2-4-422200000000000000000000-222-20000000000000023−2300000000000000000000000023−2323−23000000000000000000000000000
χ7944-4-444-2004-424-2-42-4-400004-2-224-2-2-4-422200000000000000000000-222-200000000000000−2323000000000000000000000000−2323−2323000000000000000000000000000
χ8044-4-44-240042-4-242-4-4-40000-24-22-24-222-4-42000000000000000023−23−2323-222-2000000000000000000000000000023−23−2323000000000000000000000000000000000000000
χ8144-4-44-240042-4-242-4-4-40000-24-22-24-222-4-420000000000000000−232323−23-222-20000000000000000000000000000−232323−23000000000000000000000000000000000000000
χ8244-4-4-24400-2-4-444-4-422−2i32i32i3−2i3-2-24-4-2-242222-40000−2i32i32i3−2i3−2i32i32i3−2i300000000-222-200−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-24400-2-4-444-4-4222i3−2i3−2i32i3-2-24-4-2-242222-400002i3−2i3−2i32i32i3−2i3−2i32i300000000-222-2002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-24-200-2-424-2-4222−2i32i32i3−2i3-21-22-21-222-1-120000−2i32i32i3−2i3i3−i3−i3i3000000001-1-1100i3−i3−i3i30000000023−23000000000000000000003i−3i3i−3i−33−33000000000000000000000000000
χ8544-4-4-24-200-2-424-2-4222−2i32i32i3−2i3-21-22-21-222-1-120000−2i32i32i3−2i3i3−i3−i3i3000000001-1-1100i3−i3−i3i300000000−232300000000000000000000−3i3i−3i3i3−33−3000000000000000000000000000
χ8644-4-4-24-200-2-424-2-42222i3−2i3−2i32i3-21-22-21-222-1-1200002i3−2i3−2i32i3−i3i3i3−i3000000001-1-1100−i3i3i3−i30000000023−2300000000000000000000−3i3i−3i3i−33−33000000000000000000000000000
χ8744-4-4-24-200-2-424-2-42222i3−2i3−2i32i3-21-22-21-222-1-1200002i3−2i3−2i32i3−i3i3i3−i3000000001-1-1100−i3i3i3−i300000000−2323000000000000000000003i−3i3i−3i3−33−3000000000000000000000000000
χ8844-4-4-2-2400-22-4-242-422−2i32i32i3−2i31-2-221-2-2-1-12220000i3−i3−i3i3−2i32i32i3−2i3000023−23−23231-1-1100i3−i3−i3i30000000000000000000000−333−33i−3i−3i3i00000000000000000000000000000000000
χ8944-4-4-2-2400-22-4-242-422−2i32i32i3−2i31-2-221-2-2-1-12220000i3−i3−i3i3−2i32i32i3−2i30000−232323−231-1-1100i3−i3−i3i300000000000000000000003−3−33−3i3i3i−3i00000000000000000000000000000000000
χ9044-4-4-2-2400-22-4-242-4222i3−2i3−2i32i31-2-221-2-2-1-12220000−i3i3i3−i32i3−2i3−2i32i3000023−23−23231-1-1100−i3i3i3−i30000000000000000000000−333−3−3i3i3i−3i00000000000000000000000000000000000
χ9144-4-4-2-2400-22-4-242-4222i3−2i3−2i32i31-2-221-2-2-1-12220000−i3i3i3−i32i3−2i3−2i32i30000−232323−231-1-1100−i3i3i3−i300000000000000000000003−3−333i−3i−3i3i00000000000000000000000000000000000
χ924-44-444-24i−4i-4-42-424-24-44i4i−4i−4i4-2-2-2-4224-4-2224i−4i−2i2i4i4i−4i−4i−2i−2i2i2i00000000-2-222−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000
χ934-44-444-2−4i4i-4-42-424-24-4−4i−4i4i4i4-2-2-2-4224-4-222−4i4i2i−2i−4i−4i4i4i2i2i−2i−2i00000000-2-2222i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-2-24i−4i-42222-2-24-44i4i−4i−4i-2-21122-1-22-22-1−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000011-1-1i−iii−i−i0000−2i32i3000023−23000000000000000000000000000000000i3−i30−33000000000000000
χ954-44-44-2-24i−4i-42222-2-24-44i4i−4i−4i-2-21122-1-22-22-1−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000011-1-1i−iii−i−i00002i3−2i30000−2323000000000000000000000000000000000−i3i303−3000000000000000
χ964-44-44-2-2−4i4i-42222-2-24-4−4i−4i4i4i-2-21122-1-22-22-12i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000011-1-1−ii−i−iii0000−2i32i30000−2323000000000000000000000000000000000i3−i303−3000000000000000
χ974-44-44-2-2−4i4i-42222-2-24-4−4i−4i4i4i-2-21122-1-22-22-12i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000011-1-1−ii−i−iii00002i3−2i3000023−23000000000000000000000000000000000−i3i30−33000000000000000
χ984-44-4-2444i−4i2-4-4-4-444-22−2i−2i2i2i-2-24422-4-22-22-44i−4i4i−4i−2i−2i2i2i−2i−2i2i2i00000000-2-2224i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-244−4i4i2-4-4-4-444-222i2i−2i−2i-2-24422-4-22-22-4−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i00000000-2-222−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-24-24i−4i2-42-424-2-22−2i−2i2i2i-21-2-22-12-221-124i−4i−2i2i−2i−2i2i2iii−i−i0000000011-1-1−2i2iii−i−i0000000000000000000000000000003-3-333i−3i−3i3i000000000000000000000000000
χ1014-44-4-24-24i−4i2-42-424-2-22−2i−2i2i2i-21-2-22-12-221-124i−4i−2i2i−2i−2i2i2iii−i−i0000000011-1-1−2i2iii−i−i000000000000000000000000000000-333-3−3i3i3i−3i000000000000000000000000000
χ1024-44-4-24-2−4i4i2-42-424-2-222i2i−2i−2i-21-2-22-12-221-12−4i4i2i−2i2i2i−2i−2i−i−iii0000000011-1-12i−2i−i−iii0000000000000000000000000000003-3-33−3i3i3i−3i000000000000000000000000000
χ1034-44-4-24-2−4i4i2-42-424-2-222i2i−2i−2i-21-2-22-12-221-12−4i4i2i−2i2i2i−2i−2i−i−iii0000000011-1-12i−2i−i−iii000000000000000000000000000000-333-33i−3i−3i3i000000000000000000000000000
χ1044-44-4-2-244i−4i22-42-4-24-22−2i−2i2i2i1-2-2-2-1221-1-222−2i2i4i−4iii−i−i−2i−2i2i2i0000−2i3−2i32i32i311-1-1−2i2iii−i−i00000023−2300000000000000i3i3−i3−i3−3−33300000000000000000000000000000000000
χ1054-44-4-2-244i−4i22-42-4-24-22−2i−2i2i2i1-2-2-2-1221-1-222−2i2i4i−4iii−i−i−2i−2i2i2i00002i32i3−2i3−2i311-1-1−2i2iii−i−i000000−232300000000000000−i3−i3i3i333−3−300000000000000000000000000000000000
χ1064-44-4-2-24−4i4i22-42-4-24-222i2i−2i−2i1-2-2-2-1221-1-2222i−2i−4i4i−i−iii2i2i−2i−2i0000−2i3−2i32i32i311-1-12i−2i−i−iii000000−232300000000000000i3i3−i3−i333−3−300000000000000000000000000000000000
χ1074-44-4-2-24−4i4i22-42-4-24-222i2i−2i−2i1-2-2-2-1221-1-2222i−2i−4i4i−i−iii2i2i−2i−2i00002i32i3−2i3−2i311-1-12i−2i−i−iii00000023−2300000000000000−i3−i3i3i3−3−33300000000000000000000000000000000000
χ1084-4-4444-200-44-2-42-42-4400004-2-22-422-442-2-2000000000000004i−4i0000-22-22000000000000000000−2i2i00004i−4i0000000000−2i−2i2i2i0000000000000000000000000000000
χ1094-4-4444-200-44-2-42-42-4400004-2-22-422-442-2-200000000000000−4i4i0000-22-220000000000000000002i−2i0000−4i4i00000000002i2i−2i−2i0000000000000000000000000000000
χ1104-4-444-2400-4-242-42-4-440000-24-222-422-2-44-20000000000004i−4i00−2i2i−2i2i-22-22000000000000000000004i−4i000000−2i2i−2i2i000000000000000000000000000000000000000
χ1114-4-444-2400-4-242-42-4-440000-24-222-422-2-44-2000000000000−4i4i002i−2i2i−2i-22-2200000000000000000000−4i4i0000002i−2i2i−2i000000000000000000000000000000000000000
χ1124-4-44-24-20024-2-42-422-223−2323−23-21-222-122-2-11-2000023−2323−23−33−33004i−4i00001-11-100−33−33000000000000−2i2i0000−2i2i−2i32i300000000ii−i−ii3i3−i3−i3000000000000000000000000000
χ1134-4-44-24-20024-2-42-422-223−2323−23-21-222-122-2-11-2000023−2323−23−33−3300−4i4i00001-11-100−33−330000000000002i−2i00002i−2i2i3−2i300000000−i−iii−i3−i3i3i3000000000000000000000000000
χ1144-4-44-24-20024-2-42-422-2−2323−2323-21-222-122-2-11-20000−2323−23233−33−3004i−4i00001-11-1003−33−3000000000000−2i2i0000−2i2i2i3−2i300000000ii−i−i−i3−i3i3i3000000000000000000000000000
χ1154-4-44-24-20024-2-42-422-2−2323−2323-21-222-122-2-11-20000−2323−23233−33−300−4i4i00001-11-1003−33−30000000000002i−2i00002i−2i−2i32i300000000−i−iiii3i3−i3−i3000000000000000000000000000
χ1164-4-44-2-24002-242-42-42-223−2323−231-2-22-122-112-2-20000−33−3323−2323−234i−4i00−2i2i−2i2i1-11-100−33−3300000000000000−2i2i−2i32i30000i−ii−ii3−i3i3−i300000000000000000000000000000000000
χ1174-4-44-2-24002-242-42-42-223−2323−231-2-22-122-112-2-20000−33−3323−2323−23−4i4i002i−2i2i−2i1-11-100−33−33000000000000002i−2i2i3−2i30000−ii−ii−i3i3−i3i300000000000000000000000000000000000
χ1184-4-44-2-24002-242-42-42-2−2323−23231-2-22-122-112-2-200003−33−3−2323−23234i−4i00−2i2i−2i2i1-11-1003−33−300000000000000−2i2i2i3−2i30000i−ii−i−i3i3−i3i300000000000000000000000000000000000
χ1194-4-44-2-24002-242-42-42-2−2323−23231-2-22-122-112-2-200003−33−3−2323−2323−4i4i002i−2i2i−2i1-11-1003−33−3000000000000002i−2i−2i32i30000−ii−iii3−i3i3−i300000000000000000000000000000000000
χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-88-4-400844-4-444-8-80000-4-42-2-4-424444-2000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-400-444-4-44444−4i34i34i3−4i3222-2222-2-2-2-2-200002i3−2i3−2i32i32i3−2i3−2i32i300000000-111-100−i3i3i3−i300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-4-4-400-444-4-444444i3−4i3−4i34i3222-2222-2-2-2-2-20000−2i32i32i3−2i3−2i32i32i3−2i300000000-111-100i3−i3−i3i300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-48i−8i44444-4-4-44−4i−4i4i4i2222-2-2-22-22-2-2−4i4i−4i4i2i2i−2i−2i2i2i−2i−2i00000000-1-1112i−2i−i−iii00000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4−8i8i44444-4-4-444i4i−4i−4i2222-2-2-22-22-2-24i−4i4i−4i−2i−2i2i2i−2i−2i2i2i00000000-1-111−2i2iii−i−i00000000000000000000000000000000000000000000000000000000000000000
χ1278-8-888-4-400-8-4-44444-880000-4-42-244-24-44-42000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-4004-4-444444-443−4343−43222-2-2-2-2-22-2220000−2323−2323−2323−232300000000-11-11003−33−300000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-4004-4-444444-4−4343−4343222-2-2-2-2-22-222000023−2323−2323−2323−2300000000-11-1100−33−3300000000000000000000000000000000000000000000000000000000000000000

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