Finite Group Databasebeta

← Group #13178693

Character table — Group #13178693

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order12223334466666666622333336666666666666666666121212121212666666666666666666666666121212121212121212124444444444121212124444444121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-111-1-1-11-1-1-1-11111-1-1111111-1-1
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-11-11-1-1-111-1-111-1-1-1-111-1-11-11-1
χ101111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11-1111-1-1-1-11111-1-1111-1-11
χ111111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-11-1-1-11111-1-111-1-111-111-1
χ121111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1111-1-111-1-111-1-111-1-1-11-11
χ131111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11-11-1-111-1-111-1-1-1-1-1-111-11-11
χ141111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-111-1-1111-1-1-1-1111111-1-1-111-1
χ151111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-11111-1-11111-1-11-1-11
χ161111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-111-1-111-1-111-1-1-1-1111-11-1
χ17222222-1222222-1-12-12222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-12222-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10022000000000000022020000-1-1-1-100000000-1-1
χ18222222-1222222-1-12-12222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-12222-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-20000000000000-2-20-2000011110000000011
χ19222222-1222222-1-12-12-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-21-21-2-211111111-2-21111111122-1-1-1-1-1-1-1-100220000000000000-2-2020000-1-1-1-10000000011
χ20222222-1222222-1-12-12-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-21-21-2-211111111-2-21111111122-1-1-1-1-1-1-1-100-2-20000000000000220-20000111100000000-1-1
χ21222222-1-2-22222-1-12-122-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2112-1-2122-1-1-1-1-1-1-1-1-2-211111111-2-211111111002200000000000002-20-20000-1-11100000000-11
χ22222222-1-2-22222-1-12-122-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2112-1-2122-1-1-1-1-1-1-1-1-2-211111111-2-21111111100-2-20000000000000-2202000011-1-1000000001-1
χ23222222-1-2-22222-1-12-12-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-212-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100220000000000000-220-20000-1-111000000001-1
χ24222222-1-2-22222-1-12-12-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-212-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100-2-200000000000002-202000011-1-100000000-11
χ2522222-122222-1-122-12222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-1-122-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1220000000000000220020-1-1-1-10000000000-1-100
χ2622222-122222-1-122-12222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-1-122-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000000-2-200-20111100000000001100
χ2722222-122222-1-122-122-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-1221-21-211-2-211111111-2-2111111-1-122-1-1-1-1-1-1220000000000000-2-20020-1-1-1-100000000001100
χ2822222-122222-1-122-122-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-1221-21-211-2-211111111-2-2111111-1-122-1-1-1-1-1-1-2-200000000000002200-2011110000000000-1-100
χ2922222-12-2-222-1-122-1222-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-121-2-1-122-1-1-1-1-1-111-2-211111111-2-21111112200000000000002-200-20-1-1110000000000-1100
χ3022222-12-2-222-1-122-1222-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-121-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111-2-20000000000000-22002011-1-100000000001-100
χ3122222-12-2-222-1-122-122-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-21-2-1211-2-2111111-1-122-1-1-1-1-1-111-2-2111111220000000000000-2200-20-1-11100000000001-100
χ3222222-12-2-222-1-122-122-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-21-2-1211-2-2111111-1-122-1-1-1-1-1-111-2-2111111-2-200000000000002-2002011-1-10000000000-1100
χ332222-12222-1-1222222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000222222-1-1-1-1200000000000000-1-1-1-1-1-10000
χ342222-12222-1-1222222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-2-2-21111-2000000000000001111110000
χ352222-12222-1-1222222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1000022-2-2-2-2-1-1-1-1200000000000000-1-111110000
χ362222-12222-1-1222222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-222221111-20000000000000011-1-1-1-10000
χ372222-122-2-2-1-1222222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-222-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100002222-2-2-1-1-1-1-20000000000000011-1-1110000
χ382222-122-2-2-1-1222222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-222-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-2-2-2221111200000000000000-1-111-1-10000
χ392222-122-2-2-1-1222222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-2-2221111-2-21111-1-1-1-122-1-1-1-11111-2-21111000022-2-222-1-1-1-1-2000000000000001111-1-10000
χ402222-122-2-2-1-1222222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-2-2221111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-222-2-21111200000000000000-1-1-1-1110000
χ412-22-22222-22-2-2-2-2-222-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-20000002i−2i2i−2i0000000000000000000002i−2i2i−2i0000
χ422-22-22222-22-2-2-2-2-222-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-2000000−2i2i−2i2i000000000000000000000−2i2i−2i2i0000
χ432-22-2222-222-2-2-2-2-222-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-2220000002i−2i−2i2i0000000000000000000002i−2i−2i2i0000
χ442-22-2222-222-2-2-2-2-222-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-222000000−2i2i2i−2i000000000000000000000−2i2i2i−2i0000
χ452-22-2-1222-2-11-2-2-2-222100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-1-112-22-20000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-1110000002i−2i2i−2i33−3−30000000000000003−3−ii−ii0000
χ462-22-2-1222-2-11-2-2-2-222100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-1-112-22-20000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-111000000−2i2i−2i2i−3−333000000000000000−33i−ii−i0000
χ472-22-2-1222-2-11-2-2-2-222100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-1-112-22-20000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-1110000002i−2i2i−2i−3−333000000000000000−33−ii−ii0000
χ482-22-2-1222-2-11-2-2-2-222100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-1-112-22-20000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-111000000−2i2i−2i2i33−3−30000000000000003−3i−ii−i0000
χ492-22-2-122-22-11-2-2-2-222100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-11-1-22-220000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-10000002i−2i−2i2i33−3−3000000000000000−33−iii−i0000
χ502-22-2-122-22-11-2-2-2-222100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-11-1-22-220000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-1000000−2i2i2i−2i−3−3330000000000000003−3i−i−ii0000
χ512-22-2-122-22-11-2-2-2-222100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-11-1-22-220000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-10000002i−2i−2i2i−3−3330000000000000003−3−iii−i0000
χ522-22-2-122-22-11-2-2-2-222100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-11-1-22-220000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-1000000−2i2i2i−2i33−3−3000000000000000−33i−i−ii0000
χ532-2-2222200-2-22-22-2-2-22002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i2-200002-22-200000002i−2i002i−2i000000000000
χ542-2-2222200-2-22-22-2-2-22002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i-220000-22-2200000002i−2i00−2i2i000000000000
χ552-2-2222200-2-22-22-2-2-22002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i-220000-22-220000000−2i2i002i−2i000000000000
χ562-2-2222200-2-22-22-2-2-22002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i2-200002-22-20000000−2i2i00−2i2i000000000000
χ5744444-2-24444-2-2-2-2-2-2444-2-21114444-2-2-2-2111111-2-211144-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-24-4-4-2-2111-4-4-4-4-2-2-2-2111111-2-211144-2-2-2-222222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ5944444-2-2-4-444-2-2-2-2-2-244-4-2-211144-4-4-2-2-2-2111111-2-2111-4-42222-2-222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-444-2-2-2-2-2-24-44-2-2111-4-444-2-2-2-2111111-2-2111-4-4222222-2-22222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ614444-24-244-2-244-2-24-2-244-21-211-2-2-2-2-2-211-2-21111-21-211-2-244-2-24-24-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-244-2-244-2-24-2-2-4-4-21-2112222-2-211-2-21111-21-211-2-244-2-2-42-4222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ634444-24-2-4-4-2-244-2-24-2-24-4-21-211-2-222-2-211-2-21111-21-21122-4-4224-2-42-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-4-2-244-2-24-2-2-44-21-21122-2-2-2-211-2-21111-21-21122-4-422-424-222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ654444-2-2444-2-2-2-244-24-2441-2-211-2-2-2-211-2-2-2-211111-2-211-2-2-2-244-24-2411-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-2-2-2-244-24-2-4-41-2-211222211-2-2-2-211111-2-211-2-2-2-2442-42-4-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ674444-2-24-4-4-2-2-2-244-24-24-41-2-211-2-22211-2-2-2-211111-2-2112222-4-4-242-411-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-2-2-2-244-24-2-441-2-21122-2-211-2-2-2-211111-2-2112222-4-42-4-24-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ704444-2-2-244-2-2-2-2-2-2-2-2-244111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ714444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-22222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ724444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1−3i32−1+3i32-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1+3i32−1−3i32-2-222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ754444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1−3i32−1+3i3222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ764444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1+3i32−1−3i3222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ7744-4-444400-44-44-44-4-4-400444440000-44-44-44-4-444-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-444-200-44-442-2-42-4004-2-2-2-20000-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000000000000000023−230000000000
χ7944-4-444-200-44-442-2-42-4004-2-2-2-20000-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ8044-4-44-2400-442-2-442-4-400-24-2-2-200002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000000000023−2300000000000000
χ8144-4-44-2400-442-2-442-4-400-24-2-2-200002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000000−232300000000000000
χ8244-4-4-244002-2-44-44-4-4200-2-24-2-200002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ8344-4-4-244002-2-44-44-4-4200-2-24-2-200002-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ844-44-444-24-44-4-4-4224-2-4004-2-2-2-20000-4-4222222224-2-2-2-24-44-4-220000000000000000000000004-4-22-22-2-222000000000000000000000000000000000000000
χ854-44-444-2-444-4-4-4224-2-4004-2-2-2-20000-4-4222222224-2-2-2-2-44-442-2000000000000000000000000-442-22-222-2-2000000000000000000000000000000000000000
χ864-44-44-244-44-422-4-4-24-400-24-2-2-2000022-4-4222222-24-2-2-24-4-224-4000000000000000000000000-224-4-22-2-222000000000000000000000000000000000000000
χ874-44-44-24-444-422-4-4-24-400-24-2-2-2000022-4-4222222-24-2-2-2-442-2-440000000000000000000000002-2-442-222-2-2000000000000000000000000000000000000000
χ884-44-44-2-24-44-42222-2-2-400-2-211100002222-1-1-1-1-1-1-2-21114-4-22-22000000003-33-3-3300003-33-3-33-22-221-111-1-1000000000000000000000000000000000000000
χ894-44-44-2-24-44-42222-2-2-400-2-211100002222-1-1-1-1-1-1-2-21114-4-22-2200000000-33-333-30000-33-333-3-22-221-111-1-1000000000000000000000000000000000000000
χ904-44-44-2-2-444-42222-2-2-400-2-211100002222-1-1-1-1-1-1-2-2111-442-22-2000000003-33-3-330000-33-333-32-22-2-11-1-111000000000000000000000000000000000000000
χ914-44-44-2-2-444-42222-2-2-400-2-211100002222-1-1-1-1-1-1-2-2111-442-22-200000000-33-333-300003-33-3-332-22-2-11-1-111000000000000000000000000000000000000000
χ924-44-4-24-24-4-22-4-4224-2200-21-211−2i32i3−2i32i322-1-122-1-1-1-1-21-211-224-4-220000−2i32i3i3−i300i3i3−i3−i3−2i32i3i3−i300i3i3−i3−i3-221-1-2211-1-1000000000000000000000000000000000000000
χ934-44-4-24-24-4-22-4-4224-2200-21-2112i3−2i32i3−2i322-1-122-1-1-1-1-21-211-224-4-2200002i3−2i3−i3i300−i3−i3i3i32i3−2i3−i3i300−i3−i3i3i3-221-1-2211-1-1000000000000000000000000000000000000000
χ944-44-4-24-2-44-22-4-4224-2200-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-2112-2-442-20000−2i32i3i3−i300i3i3−i3−i32i3−2i3−i3i300−i3−i3i3i32-2-112-2-1-111000000000000000000000000000000000000000
χ954-44-4-24-2-44-22-4-4224-2200-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-2112-2-442-200002i3−2i3−i3i300−i3−i3i3i3−2i32i3i3−i300i3i3−i3−i32-2-112-2-1-111000000000000000000000000000000000000000
χ964-44-4-2-244-4-2222-4-4-242001-2-211−2i32i3−2i32i3-1-12222-1-1-1-11-2-211-22-224-40000i3−i3−2i32i300i3i3−i3−i3i3−i3−2i32i300i3i3−i3−i31-1-22-2211-1-1000000000000000000000000000000000000000
χ974-44-4-2-244-4-2222-4-4-242001-2-2112i3−2i32i3−2i3-1-12222-1-1-1-11-2-211-22-224-40000−i3i32i3−2i300−i3−i3i3i3−i3i32i3−2i300−i3−i3i3i31-1-22-2211-1-1000000000000000000000000000000000000000
χ984-44-4-2-24-44-2222-4-4-242001-2-211−2i32i32i3−2i3-1-12222-1-1-1-11-2-2112-22-2-440000i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3-112-22-2-1-111000000000000000000000000000000000000000
χ994-44-4-2-24-44-2222-4-4-242001-2-2112i3−2i3−2i32i3-1-12222-1-1-1-11-2-2112-22-2-440000−i3i32i3−2i300−i3−i3i3i3i3−i3−2i32i300i3i3−i3−i3-112-22-2-1-111000000000000000000000000000000000000000
χ1004-44-4-2-2-24-4-222222-2-2200111−1−3i32−1+3i32−2i32i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-220000i3−i3i3−i33-3−3−i323−i323+i32−3+i32i3−i3i3−i33-3−3−i323−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000
χ1014-44-4-2-2-24-4-222222-2-2200111−1−3i32−1+3i322i3−2i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-220000−i3i3−i3i3-333+i32−3+i32−3−i323−i32−i3i3−i3i3-333+i32−3+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000
χ1024-44-4-2-2-24-4-222222-2-2200111−1+3i32−1−3i32−2i32i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-220000i3−i3i3−i3-333−i32−3−i32−3+i323+i32i3−i3i3−i3-333−i32−3−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000
χ1034-44-4-2-2-24-4-222222-2-2200111−1+3i32−1−3i322i3−2i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-220000−i3i3−i3i33-3−3+i323+i323−i32−3−i32−i3i3−i3i33-3−3+i323+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000
χ1044-44-4-2-2-2-44-222222-2-2200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-20000i3−i3i3−i33-3−3−i323−i323+i32−3+i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ1054-44-4-2-2-2-44-222222-2-2200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-20000−i3i3−i3i3-333+i32−3+i32−3−i323−i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ1064-44-4-2-2-2-44-222222-2-2200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-20000i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ1074-44-4-2-2-2-44-222222-2-2200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-20000−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ1084-4-4444-200-4-44-4-22-424004-2-2-2-200004-4-22-22-2-222-422220000000000000000000000000000000000000000004i−4i000000000000000000000−2i2i000000000000
χ1094-4-4444-200-4-44-4-22-424004-2-2-2-200004-4-22-22-2-222-42222000000000000000000000000000000000000000000−4i4i0000000000000000000002i−2i000000000000
χ1104-4-444-2400-4-4-224-42-4400-24-2-2-20000-224-4-22-2-2222-422200000000000000000000000000000000000000004i−4i0000000000000000000−2i2i0000000000000000
χ1114-4-444-2400-4-4-224-42-4400-24-2-2-20000-224-4-22-2-2222-42220000000000000000000000000000000000000000−4i4i00000000000000000002i−2i0000000000000000
χ1124-4-44-24400224-44-4-4-4-200-2-24-2-20000-22-224-4-2-22222-422000000000000000000000000000000000000000000004-40000-22-220000000000000000000000000
χ1134-4-44-24400224-44-4-4-4-200-2-24-2-20000-22-224-4-2-22222-42200000000000000000000000000000000000000000000-4400002-22-20000000000000000000000000
χ11488-8-88-4-400-884-44-444-800-4-422200004-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-48-4004-4-884-4-84400-42-42200004-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-48004-44-4-884-84002-4-4220000-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-4004-44-44-444400222−1−3i3−1+3i30000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-4004-44-44-444400222−1+3i3−1−3i30000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-4-400-8-8-44-4444800-4-42220000-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-48-400448-8-44-84-400-42-4220000-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-480044-448-84-8-4002-4-42200002-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-40044-44-4444-400222−1−3i3−1+3i300002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-40044-44-4444-400222−1+3i3−1−3i300002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000

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