Finite Group Databasebeta

← Group #13168523

Character table — Group #13168523

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order1222333446666666664444333666666666121212121212121212124412121212121212123666121212121212121224446612121212121212121212121212121212121222446661212121212121212122444666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-11-11111-1-11111-1-111111111-1-1-1-11111-1-111-1-1-1-11-11-111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-11-11-1-1111111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-11-11-1-1-1-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-11-1-1-1-111-1-1-1-1111111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-111-1-1-1-1-1-111-1-11111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1
χ101111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-11-1-1-111-1-1-111-1-1-1-1-1111111-1-1-1-111
χ111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-11-1111-1-1111-1-1111-1-1-1-111-1-111-1-111
χ121111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-111-11111-1-111-1-1111111-1-1-1-1-1-111-1-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1111-1-11-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111111-1-111-1-111-1-1-1-11111-1-111111-11-1-1-111-1-11-1-1111-1-1-1-111-1-11111-1-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-11-1111-1-111-111-1-1-1-1-1111111-1-111-1-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-111-1-111-1-1-1-11111-1-111
χ17222222-122222-1-12-12200002-1-1-1-12-122-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-12222220022002222000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000-1-100-1-100000000
χ18222222-122222-1-12-12200002-1-1-1-12-122-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-12-22-22200-2-20022-2-200000000-2-2-2-2-1-1-1-111-1-1111100000011001100000000
χ19222222-122222-1-12-12200002-1-1-1-12-122-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-1-22-22-2-2002200-2-22200000000-2-2-2-21111-1-111-1-1-1-100000011001100000000
χ20222222-122222-1-12-12200002-1-1-1-12-122-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-200-2-2-2-2000000002222111111111111000000-1-100-1-100000000
χ21222222-1-2-2222-1-12-12200002-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-11111111122-2-222002200-2-2-2-20000000022-2-2-1-1-111-11111-1-1000000-1-1001100000000
χ22222222-1-2-2222-1-12-12200002-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-1111111112-2-222200-2-200-2-22200000000-2-222-1-1-11-1111-1-1110000001100-1-100000000
χ23222222-1-2-2222-1-12-12200002-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-111111111-222-2-2-200220022-2-200000000-2-222111-11-1-1-111-1-10000001100-1-100000000
χ24222222-1-2-2222-1-12-12200002-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-111111111-2-222-2-200-2-20022220000000022-2-2111-1-11-1-1-1-111000000-1-1001100000000
χ2522222-1222-12-122222-12222-12-12-1-1-1-1-12-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-12020-1-1-1-10022-1-100-1-1-1-1-1-1-1-100002-1-1200-1-100002020-1-1000000-1-1000000
χ2622222-1222-12-122222-12222-12-12-1-1-1-1-12-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-20-2011-1-100221100-1-1-1-1-1-1-1-10000-211-200110000-20-201100000011000000
χ2722222-1222-12-122222-1-2-2-2-2-12-12-1-1-1-1-12-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-12020-1-11100-2-2-1-1001111111100002-1-1200-1-10000-20-201100000011000000
χ2822222-1222-12-122222-1-2-2-2-2-12-12-1-1-1-1-12-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-20-20111100-2-21100111111110000-211-2001100002020-1-1000000-1-1000000
χ2922222-12-2-2-12-122222-12222-12-12-1-1-1-1-12-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-2111120-20-1-11100-2-21100-1-1-1-1111100002-1-1-200110000-202011000000-1-1000000
χ3022222-12-2-2-12-122222-12222-12-12-1-1-1-1-12-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-21111-2020111100-2-2-1-100-1-1-1-111110000-211200-1-1000020-20-1-100000011000000
χ3122222-12-2-2-12-122222-1-2-2-2-2-12-12-1-1-1-1-12-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-2111120-20-1-1-1-1002211001111-1-1-1-100002-1-1-20011000020-20-1-100000011000000
χ3222222-12-2-2-12-122222-1-2-2-2-2-12-12-1-1-1-1-12-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-21111-202011-1-10022-1-1001111-1-1-1-10000-211200-1-10000-202011000000-1-1000000
χ332222-122222-1222-12-122222-1-12-12-12-1-1-12-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-102020022-1-1-1-100-1-1-1-1-1-1-1-1-1-1000000002200-1-1-1-102020000-1-10000-1-10000
χ342222-122222-1222-12-122222-1-12-12-12-1-1-12-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10-20-2002211-1-10011-1-1-1-1-1-1-1-100000000-2-20011110-20-20000110000110000
χ352222-122222-1222-12-12-2-2-2-2-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-21111-2-2-2-2-1-1-1-122-1-1-1-1-1-1020200-2-2-1-11100-1-111111111000000002200-1-1-1-10-20-20000110000110000
χ362222-122222-1222-12-12-2-2-2-2-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-21111-2-2-2-2-1-1-1-122-1-1-1-1-1-10-20-200-2-2111100111111111100000000-2-200111102020000-1-10000-1-10000
χ372222-122-2-22-1222-12-122222-1-12-12-12-1-1-12-1-2-211-2-21111-2-2-1-1-1-12222-1-1-1-1-2-2111111020-200-2-2-1-1110011-1-1-1-1111100000000-220011-1-10-2020000110000-1-10000
χ382222-122-2-22-1222-12-122222-1-12-12-12-1-1-12-1-2-211-2-21111-2-2-1-1-1-12222-1-1-1-1-2-21111110-20200-2-2111100-1-1-1-1-1-11111000000002-200-1-111020-20000-1-10000110000
χ392222-122-2-22-1222-12-12-2-2-2-2-1-12-12-12-1-1-12-1-2-211-2-21111221111-2-2-2-2-1-1-1-1-2-2111111020-20022-1-1-1-100111111-1-1-1-100000000-220011-1-1020-20000-1-10000110000
χ402222-122-2-22-1222-12-12-2-2-2-2-1-12-12-12-1-1-12-1-2-211-2-21111221111-2-2-2-2-1-1-1-1-2-21111110-202002211-1-100-1-11111-1-1-1-1000000002-200-1-1110-2020000110000-1-10000
χ4122-2-2222002-2-2-2-222-2-22i2i−2i−2i222-2-222-2-2-2-220000000000002i2i−2i−2i2i2i−2i−2i2-2-220000000000000000000000002i2i−2i−2i00002-2000000000000000000002-2000000002i−2i00
χ4222-2-2222002-2-2-2-222-2-22i2i−2i−2i222-2-222-2-2-2-220000000000002i2i−2i−2i2i2i−2i−2i2-2-220000000000000000000000002i2i−2i−2i0000-2200000000000000000000-2200000000−2i2i00
χ4322-2-2222002-2-2-2-222-2-2−2i−2i2i2i222-2-222-2-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i2-2-22000000000000000000000000−2i−2i2i2i00002-2000000000000000000002-200000000−2i2i00
χ4422-2-2222002-2-2-2-222-2-2−2i−2i2i2i222-2-222-2-2-2-22000000000000−2i−2i2i2i−2i−2i2i2i2-2-22000000000000000000000000−2i−2i2i2i0000-2200000000000000000000-22000000002i−2i00
χ452-22-222200-22-22-2-2-2-222-22-22222-2-2-22-2-22-20000000000002-22-22-22-222-2-20000000000000000000000002-22-20000002i−2i00000000000000000000002i−2i0000002i−2i
χ462-22-222200-22-22-2-2-2-222-22-22222-2-2-22-2-22-20000000000002-22-22-22-222-2-20000000000000000000000002-22-2000000−2i2i0000000000000000000000−2i2i000000−2i2i
χ472-22-222200-22-22-2-2-2-22-22-222222-2-2-22-2-22-2000000000000-22-22-22-2222-2-2000000000000000000000000-22-220000002i−2i00000000000000000000002i−2i000000−2i2i
χ482-22-222200-22-22-2-2-2-22-22-222222-2-2-22-2-22-2000000000000-22-22-22-2222-2-2000000000000000000000000-22-22000000−2i2i0000000000000000000000−2i2i0000002i−2i
χ492-2-222222i−2i-2-22-22-2-22-22i−2i−2i2i222-22-2-2-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i−2i2i2i−2i−2i2i2-22-22i−2i2i−2i2i2i−2i−2i0000002-2002-200002i−2i−2i2i22-2-2000000000000000000000000000000000000
χ502-2-222222i−2i-2-22-22-2-22-2−2i2i2i−2i222-22-2-2-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i2i−2i−2i2i2i−2i2-22-22i−2i2i−2i2i2i−2i−2i000000-2200-220000−2i2i2i−2i-2-222000000000000000000000000000000000000
χ512-2-22222−2i2i-2-22-22-2-22-22i−2i−2i2i222-22-2-2-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i−2i2i2i−2i−2i2i2-22-2−2i2i−2i2i−2i−2i2i2i000000-2200-2200002i−2i−2i2i-2-222000000000000000000000000000000000000
χ522-2-22222−2i2i-2-22-22-2-22-2−2i2i2i−2i222-22-2-2-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i−2i2i−2i−2i2i2i0000002-2002-20000−2i2i2i−2i22-2-2000000000000000000000000000000000000
χ532-2-222-122i−2i1-2-1-22-2-2212i−2i−2i2i-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii2-22i−2i−2i2i−iii−i-11-11−ii2i−2i−i−iii0000−i3i3-11002-23−300−iii−i-1-11100000−i3i30003−300000000−i3i30000003−3000000
χ542-2-222-122i−2i1-2-1-22-2-2212i−2i−2i2i-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii2-22i−2i−2i2i−iii−i-11-11−ii2i−2i−i−iii0000i3−i3-11002-2−3300−iii−i-1-11100000i3−i3000−3300000000i3−i3000000−33000000
χ552-2-222-122i−2i1-2-1-22-2-221−2i2i2i−2i-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii-22−2i2i2i−2ii−i−ii-11-11−ii2i−2i−i−iii0000−i3i31-100-223−300i−i−ii11-1-100000−i3i30003−300000000i3−i3000000−33000000
χ562-2-222-122i−2i1-2-1-22-2-221−2i2i2i−2i-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii-22−2i2i2i−2ii−i−ii-11-11−ii2i−2i−i−iii0000i3−i31-100-22−3300i−i−ii11-1-100000i3−i3000−3300000000−i3i30000003−3000000
χ572-2-222-12−2i2i1-2-1-22-2-2212i−2i−2i2i-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i-222i−2i−2i2i−iii−i-11-11i−i−2i2iii−i−i0000−i3i31-100-22−3300−iii−i11-1-100000−i3i3000−3300000000i3−i30000003−3000000
χ582-2-222-12−2i2i1-2-1-22-2-2212i−2i−2i2i-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i-222i−2i−2i2i−iii−i-11-11i−i−2i2iii−i−i0000i3−i31-100-223−300−iii−i11-1-100000i3−i30003−300000000−i3i3000000−33000000
χ592-2-222-12−2i2i1-2-1-22-2-221−2i2i2i−2i-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i2-2−2i2i2i−2ii−i−ii-11-11i−i−2i2iii−i−i0000−i3i3-11002-2−3300i−i−ii-1-11100000−i3i3000−3300000000−i3i3000000−33000000
χ602-2-222-12−2i2i1-2-1-22-2-221−2i2i2i−2i-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i2-2−2i2i2i−2ii−i−ii-11-11i−i−2i2iii−i−i0000i3−i3-11002-23−300i−i−ii-1-11100000i3−i30003−300000000i3−i30000003−3000000
χ612-2-22-1222i−2i-212-221-2-1-22i−2i−2i2i-1-12121-21-1-1-212i−2i−ii2i−2i−i−iii2-2−iii−i2i−2i−2i2i-11-112i−2i−ii−i−iii0000002-23−3-1100−i3i3−iii−i-1-111000000000000−i3i33−3000000003−30000−i3i30000
χ622-2-22-1222i−2i-212-221-2-1-22i−2i−2i2i-1-12121-21-1-1-212i−2i−ii2i−2i−i−iii2-2−iii−i2i−2i−2i2i-11-112i−2i−ii−i−iii0000002-2−33-1100i3−i3−iii−i-1-111000000000000i3−i3−3300000000−330000i3−i30000
χ632-2-22-1222i−2i-212-221-2-1-2−2i2i2i−2i-1-12121-21-1-1-212i−2i−ii2i−2i−i−iii-22i−i−ii−2i2i2i−2i-11-112i−2i−ii−i−iii000000-223−31-100−i3i3i−i−ii11-1-1000000000000−i3i33−300000000−330000i3−i30000
χ642-2-22-1222i−2i-212-221-2-1-2−2i2i2i−2i-1-12121-21-1-1-212i−2i−ii2i−2i−i−iii-22i−i−ii−2i2i2i−2i-11-112i−2i−ii−i−iii000000-22−331-100i3−i3i−i−ii11-1-1000000000000i3−i3−33000000003−30000−i3i30000
χ652-2-22-122−2i2i-212-221-2-1-22i−2i−2i2i-1-12121-21-1-1-21−2i2ii−i−2i2iii−i−i-22−iii−i2i−2i−2i2i-11-11−2i2ii−iii−i−i000000-223−31-100i3−i3−iii−i11-1-1000000000000i3−i33−300000000−330000−i3i30000
χ662-2-22-122−2i2i-212-221-2-1-22i−2i−2i2i-1-12121-21-1-1-21−2i2ii−i−2i2iii−i−i-22−iii−i2i−2i−2i2i-11-11−2i2ii−iii−i−i000000-22−331-100−i3i3−iii−i11-1-1000000000000−i3i3−33000000003−30000i3−i30000
χ672-2-22-122−2i2i-212-221-2-1-2−2i2i2i−2i-1-12121-21-1-1-21−2i2ii−i−2i2iii−i−i2-2i−i−ii−2i2i2i−2i-11-11−2i2ii−iii−i−i0000002-23−3-1100i3−i3i−i−ii-1-111000000000000i3−i33−3000000003−30000i3−i30000
χ682-2-22-122−2i2i-212-221-2-1-2−2i2i2i−2i-1-12121-21-1-1-21−2i2ii−i−2i2iii−i−i2-2i−i−ii−2i2i2i−2i-11-11−2i2ii−iii−i−i0000002-2−33-1100−i3i3i−i−ii-1-111000000000000−i3i3−3300000000−330000−i3i30000
χ6944444-2-244-24-2-2-24-24-20000-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-20000000000111111-2-211114040-2-2000000-2-200000000000000-211-20011000000000000000000000000
χ7044444-2-244-24-2-2-24-24-20000-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-20000000000111111-2-21111-40-402200000022000000000000002-1-1200-1-1000000000000000000000000
χ7144444-2-2-4-4-24-2-2-24-24-20000-2-21-21-21-2-2-21-222-4-422222200000000001111-1-122-1-1-1-140-40-2-20000002200000000000000-211200-1-1000000000000000000000000
χ7244444-2-2-4-4-24-2-2-24-24-20000-2-21-21-21-2-2-21-222-4-422222200000000001111-1-122-1-1-1-1-404022000000-2-2000000000000002-1-1-20011000000000000000000000000
χ734444-24-2444-24-2-2-2-2-240000-21-21-2-2-2-2-21-2144-2-2-2-2-2-2-2-200000000001111-2-211111104040000-2-20000-2-20000000000000000-2-200111100000000000000000000
χ744444-24-2444-24-2-2-2-2-240000-21-21-2-2-2-2-21-2144-2-2-2-2-2-2-2-200000000001111-2-21111110-40-400002200002200000000000000002200-1-1-1-100000000000000000000
χ754444-24-2-4-44-24-2-2-2-2-240000-21-21-2-2-2-2-21-21-4-4222222220000000000111122-1-1-1-1-1-1040-40000-2-200002200000000000000002-200-1-11100000000000000000000
χ764444-24-2-4-44-24-2-2-2-2-240000-21-21-2-2-2-2-21-21-4-4222222220000000000111122-1-1-1-1-1-10-4040000220000-2-20000000000000000-220011-1-100000000000000000000
χ774444-2-2444-2-2-244-24-2-244441-2-2-2-21-211-2-2-2-2-2-2-244111144-2-2-2-2-2-2-2-21111-2-2-2-21111000000-2-200-2-2000011111111000000000000000000000000000000000000
χ784444-2-2444-2-2-244-24-2-2-4-4-4-41-2-2-2-21-211-2-2-2-2-2-2-2441111-4-4222222221111-2-2-2-211110000002200220000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ794444-2-24-4-4-2-2-244-24-2-244441-2-2-2-21-211-2-2-22222-4-4-1-1-1-1-4-4-2-2-2-2-2-2-2-211112222-1-1-1-100000022002200001111-1-1-1-1000000000000000000000000000000000000
χ804444-2-24-4-4-2-2-244-24-2-2-4-4-4-41-2-2-2-21-211-2-2-22222-4-4-1-1-1-1442222222211112222-1-1-1-1000000-2-200-2-20000-1-1-1-11111000000000000000000000000000000000000
χ8144-4-444-2004-4-4224-2-4-400004-2-2224-2-4-422-200000000000000000000-222-2000000000000000000000000000000004-400000000000000000000-22000000000000
χ8244-4-444-2004-4-4224-2-4-400004-2-2224-2-4-422-200000000000000000000-222-200000000000000000000000000000000-44000000000000000000002-2000000000000
χ8344-4-44-2400-2-42-4-444-424i4i−4i−4i-24-2-42-2-222-4240000000000004i4i−4i−4i−2i−2i2i2i-222-2000000000000000000000000−2i−2i2i2i0000000000000000000000000000000000000000
χ8444-4-44-2400-2-42-4-444-42−4i−4i4i4i-24-2-42-2-222-424000000000000−4i−4i4i4i2i2i−2i−2i-222-20000000000000000000000002i2i−2i−2i0000000000000000000000000000000000000000
χ8544-4-4-2440042-4-4-4-242-44i4i−4i−4i-2-242-4-24222-4-2000000000000−2i−2i2i2i4i4i−4i−4i-222-2000000000000000000000000−2i−2i2i2i0000000000000000000000000000000000000000
χ8644-4-4-2440042-4-4-4-242-4−4i−4i4i4i-2-242-4-24222-4-20000000000002i2i−2i−2i−4i−4i4i4i-222-20000000000000000000000002i2i−2i−2i0000000000000000000000000000000000000000
χ8744-4-4-2-2400-222-4-4-24224i4i−4i−4i1-2-2221-2-1-122-20000003-33-300−2i−2i2i2i−2i−2i2i2i1-1-1100003-33-30000000000000000ii−i−i3i−3i3i−3i000000000000000000000000000000000000
χ8844-4-4-2-2400-222-4-4-24224i4i−4i−4i1-2-2221-2-1-122-2000000-33-3300−2i−2i2i2i−2i−2i2i2i1-1-110000-33-330000000000000000ii−i−i−3i3i−3i3i000000000000000000000000000000000000
χ8944-4-4-2-2400-222-4-4-2422−4i−4i4i4i1-2-2221-2-1-122-20000003-33-3002i2i−2i−2i2i2i−2i−2i1-1-1100003-33-30000000000000000−i−iii−3i3i−3i3i000000000000000000000000000000000000
χ9044-4-4-2-2400-222-4-4-2422−4i−4i4i4i1-2-2221-2-1-122-2000000-33-33002i2i−2i−2i2i2i−2i−2i1-1-110000-33-330000000000000000−i−iii3i−3i3i−3i000000000000000000000000000000000000
χ914-44-444-200-44-4-22-42-4400004-2-2-22-424-42-2200000000000000000000-2-22200000000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
χ924-44-444-200-44-4-22-42-4400004-2-2-22-424-42-2200000000000000000000-2-2220000000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
χ934-44-44-24002424-4-4-4-4-24-44-4-24-24222-22-4-2-40000000000004-44-4-22-22-2-222000000000000000000000000-22-220000000000000000000000000000000000000000
χ944-44-44-24002424-4-4-4-4-2-44-44-24-24222-22-4-2-4000000000000-44-442-22-2-2-2220000000000000000000000002-22-20000000000000000000000000000000000000000
χ954-44-4-24400-4-2-44-42-4244-44-4-2-24-2-42-4-22242000000000000-22-224-44-4-2-222000000000000000000000000-22-220000000000000000000000000000000000000000
χ964-44-4-24400-4-2-44-42-424-44-44-2-24-2-42-4-222420000000000002-22-2-44-44-2-2220000000000000000000000002-22-20000000000000000000000000000000000000000
χ974-44-4-2-24002-224-42-42-24-44-41-2-2-22-121-12-220000003i−3i−3i3i00-22-22-22-2211-1-100003i−3i−3i3i00000000000000001-11-1−3i3i3i−3i000000000000000000000000000000000000
χ984-44-4-2-24002-224-42-42-24-44-41-2-2-22-121-12-22000000−3i3i3i−3i00-22-22-22-2211-1-10000−3i3i3i−3i00000000000000001-11-13i−3i−3i3i000000000000000000000000000000000000
χ994-44-4-2-24002-224-42-42-2-44-441-2-2-22-121-12-220000003i−3i−3i3i002-22-22-22-211-1-100003i−3i−3i3i0000000000000000-11-113i−3i−3i3i000000000000000000000000000000000000
χ1004-44-4-2-24002-224-42-42-2-44-441-2-2-22-121-12-22000000−3i3i3i−3i002-22-22-22-211-1-10000−3i3i3i−3i0000000000000000-11-11−3i3i3i−3i000000000000000000000000000000000000
χ1014-4-4444-24i−4i-4-442-2-424-400004-2-22-2-42-44-2224i−4i4i−4i−2i2i4i4i−4i−4i0000000000-22-22−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-2−4i4i-4-442-2-424-400004-2-22-2-42-44-222−4i4i−4i4i2i−2i−4i−4i4i4i0000000000-22-222i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-2-24i−4i2-4-22-2-42420000-2-21212-12-2-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00000000001-11-1i−i−2i2iii−i−i0000−2i32i300000023−23000000000000000i3−i3000−33000000000000000000000000
χ1044-4-444-2-24i−4i2-4-22-2-42420000-2-21212-12-2-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00000000001-11-1i−i−2i2iii−i−i00002i3−2i3000000−2323000000000000000−i3i30003−3000000000000000000000000
χ1054-4-444-2-2−4i4i2-4-22-2-42420000-2-21212-12-2-2-122i−2i−4i4i2i−2i2i2i−2i−2i00000000001-11-1−ii2i−2i−i−iii0000−2i32i3000000−2323000000000000000i3−i30003−3000000000000000000000000
χ1064-4-444-2-2−4i4i2-4-22-2-42420000-2-21212-12-2-2-122i−2i−4i4i2i−2i2i2i−2i−2i00000000001-11-1−ii2i−2i−i−iii00002i3−2i300000023−23000000000000000−i3i3000−33000000000000000000000000
χ1074-4-44-24-24i−4i-4242-222-2-40000-21-2-1-2222-212-14i−4i−2i2i−2i2i−2i−2i2i2i00000000001-11-1−2i2ii−iii−i−i0000000023−230000−2i32i300000000000000000000i3−i3−3300000000000000000000
χ1084-4-44-24-24i−4i-4242-222-2-40000-21-2-1-2222-212-14i−4i−2i2i−2i2i−2i−2i2i2i00000000001-11-1−2i2ii−iii−i−i00000000−232300002i3−2i300000000000000000000−i3i33−300000000000000000000
χ1094-4-44-24-2−4i4i-4242-222-2-40000-21-2-1-2222-212-1−4i4i2i−2i2i−2i2i2i−2i−2i00000000001-11-12i−2i−ii−i−iii0000000023−2300002i3−2i300000000000000000000−i3i3−3300000000000000000000
χ1104-4-44-24-2−4i4i-4242-222-2-40000-21-2-1-2222-212-1−4i4i2i−2i2i−2i2i2i−2i−2i00000000001-11-12i−2i−ii−i−iii00000000−23230000−2i32i300000000000000000000i3−i33−300000000000000000000
χ1114-4-44-2-244i−4i22-2-442-4-224i−4i−4i4i1-2-22-2-12-11-222−2i2i−2i2i4i−4iii−i−i4-4−2i2i2i−2i−2i2i2i−2i1-11-1−2i2i−2i2iii−i−i000000-2200-220000i−i−ii11-1-1000000000000000000000000000000000000
χ1124-4-44-2-244i−4i22-2-442-4-22−4i4i4i−4i1-2-22-2-12-11-222−2i2i−2i2i4i−4iii−i−i-442i−2i−2i2i2i−2i−2i2i1-11-1−2i2i−2i2iii−i−i0000002-2002-20000−iii−i-1-111000000000000000000000000000000000000
χ1134-4-44-2-24−4i4i22-2-442-4-224i−4i−4i4i1-2-22-2-12-11-2222i−2i2i−2i−4i4i−i−iii-44−2i2i2i−2i−2i2i2i−2i1-11-12i−2i2i−2i−i−iii0000002-2002-20000i−i−ii-1-111000000000000000000000000000000000000
χ1144-4-44-2-24−4i4i22-2-442-4-22−4i4i4i−4i1-2-22-2-12-11-2222i−2i2i−2i−4i4i−i−iii4-42i−2i−2i2i2i−2i−2i2i1-11-12i−2i2i−2i−i−iii000000-2200-220000−iii−i11-1-1000000000000000000000000000000000000
χ1158888-4-4-488-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-8-8-4-4-4-4-4-4-4-4-40000222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-400-4-84448-4-840000-4-424-2-42444-2-4000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-40084-844-4-44-80000-42-4-24-4-444-242000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-400-44444-4-4440000222-2-222-2-2-2-220000006-66-60000000000-111-10000-33-33000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-400-44444-4-4440000222-2-222-2-2-2-22000000-66-660000000000-111-100003-33-3000000000000000000000000000000000000000000000000000000000000
χ1218-88-88-4-400484-44-84-8-40000-4-42-4-24-2-444240000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-48-400-8-4-8-4444480000-42-42444-44-2-4-20000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4004-44-44444-400002222-2-2-22-2-22-20000006i−6i−6i6i0000000000-1-1110000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4-4004-44-44444-400002222-2-2-22-2-22-2000000−6i6i6i−6i0000000000-1-11100003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-48i−8i44-44-444-440000222-22-2-2-222-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-11-112i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4−8i8i44-44-444-440000222-22-2-2-222-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-11-11−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000

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