Finite Group Databasebeta

← Group #13178341

Character table — Group #13178341

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122233344666666666333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444444444121212122222444666612121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-111-1-111
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-111111111-1-1-1-111-1-1-1-1
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-111-1-1111111-1-1-1-111
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-111111111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11-1-11-1-1-1-1-1111111-1-1-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-111-11-1-111-1-1-1-111-1-111-11-11
χ111111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-11-1111-1-1-1-111-1-111111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1111111-1-1-1-111-1-1-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111111-1-1-11-1-11-1-1-1-11111-1-111-1-1-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-111-111-1-1-111-1-1-1-1-1-111111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11-1-1111-111-1-1-1-11111-1-111-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1111-1-1-11111111-1-111-1-1-1-11-1-11
χ17222222-122-122-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100220000000000022200000-1-100-1-1000000-1-100
χ18222222-122-122-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200000000000-2-2-2000001100110000001100
χ19222222-122-122-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-2-2-222-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111110022000000000002-2-200000-1-100-1-10000001100
χ20222222-122-122-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-2-2-222-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100-2-200000000000-22200000110011000000-1-100
χ21222222-1-2-2-122-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222-2-2-2-211-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111002200000000000-22-2000001100-1-1000000-1100
χ22222222-1-2-2-122-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222-2-2-2-211-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100-2-2000000000002-2200000-1-100110000001-100
χ23222222-1-2-2-122-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-2111-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1002200000000000-2-22000001100-1-10000001-100
χ24222222-1-2-2-122-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-2111-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-100-2-20000000000022-200000-1-10011000000-1100
χ2522222-122222-122-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200222200-1-1-1-12000000-1-1000000-1-1-1-1000000
χ2622222-122222-122-12-12-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2-2-2001111-2000000110000001111000000
χ2722222-122222-122-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1221111-1-122-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-21111112200-2-2-2-200-1-1-1-12000000-1-10000001111000000
χ2822222-122222-122-12-12-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1221111-1-122-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111-2-2002222001111-200000011000000-1-1-1-1000000
χ2922222-12-2-222-122-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-11111-2-22-22-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111220022-2-200-1-1-1-1-200000011000000-1-111000000
χ3022222-12-2-222-122-12-12-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-11111-2-22-22-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111-2-200-2-2220011112000000-1-100000011-1-1000000
χ3122222-12-2-222-122-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-1-111-2-2-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-12200-2-22200-1-1-1-1-20000001100000011-1-1000000
χ3222222-12-2-222-122-12-12-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-1-111-2-2-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-1-2-20022-2-20011112000000-1-1000000-1-111000000
χ332222-122222-122-1222-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000022000000002220000-1-1000000-1-100-1-1
χ342222-122222-122-1222-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-200000000-2-2-2000011000000110011
χ352222-122222-122-1222-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22222-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000000022000000002-2-20000-1-1000000-1-10011
χ362222-122222-122-1222-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22222-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-2111100000000-2-200000000-2220000110000001100-1-1
χ372222-122-2-22-122-1222-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000002200000000-22-20000-1-10000001100-11
χ382222-122-2-22-122-1222-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-2111100000000-2-2000000002-22000011000000-1-1001-1
χ392222-122-2-22-122-1222-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-2-2-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1000000002200000000-2-220000-1-100000011001-1
χ402222-122-2-22-122-1222-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-2-2-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-100000000-2-20000000022-2000011000000-1-100-11
χ4122-2-22222-2-22-2-2-222-2-22222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-20000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i000000
χ4222-2-22222-2-22-2-2-222-2-22222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-2000000000000000000000000−2i2i−2i2i000000000000000000000−2i2i−2i2i000000
χ4322-2-2222-22-22-2-2-222-2-22222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-2220000000000000000000000002i−2i−2i2i0000000000000000000002i−2i−2i2i000000
χ4422-2-2222-22-22-2-2-222-2-22222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-222000000000000000000000000−2i2i2i−2i000000000000000000000−2i2i2i−2i000000
χ4522-2-22-122-2-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-21112-23−33−3-112-20000-112-2-11-1-1113−3003−333−3−33−3003−333−3−300002i−2i2i−2i00−i3−i3i3i30000000−i3i3000000−ii−ii000000
χ4622-2-22-122-2-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-21112-23−33−3-112-20000-112-2-11-1-1113−3003−333−3−33−3003−333−3−30000−2i2i−2i2i00i3i3−i3−i30000000i3−i3000000i−ii−i000000
χ4722-2-22-122-2-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-21112-2−33−33-112-20000-112-2-11-1-111−3300−33−3−333−3300−33−3−33300002i−2i2i−2i00i3i3−i3−i30000000i3−i3000000−ii−ii000000
χ4822-2-22-122-2-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-21112-2−33−33-112-20000-112-2-11-1-111−3300−33−3−333−3300−33−3−3330000−2i2i−2i2i00−i3−i3i3i30000000−i3i3000000i−ii−i000000
χ4922-2-22-12-22-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-2111-223−3−331-1-2200001-1-221-111-1-13−3003−333−3−3−3300−33−3−33300002i−2i−2i2i00−i3−i3i3i30000000i3−i3000000−iii−i000000
χ5022-2-22-12-22-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-2111-223−3−331-1-2200001-1-221-111-1-13−3003−333−3−3−3300−33−3−3330000−2i2i2i−2i00i3i3−i3−i30000000−i3i3000000i−i−ii000000
χ5122-2-22-12-22-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-2111-22−333−31-1-2200001-1-221-111-1-1−3300−33−3−3333−3003−333−3−300002i−2i−2i2i00i3i3−i3−i30000000−i3i3000000−iii−i000000
χ5222-2-22-12-22-221-2-2-121-2-12-1-1-1001-2111-12-1-1-11-2111-22−333−31-1-2200001-1-221-111-1-1−3300−33−3−3333−3003−333−3−30000−2i2i2i−2i00−i3−i3i3i30000000i3−i3000000i−i−ii000000
χ532-22-2222002-2-2-22-2-22-2222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i00002-22i−2i2i−2i000000000002-22i−2i0000000000
χ542-22-2222002-2-2-22-2-22-2222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000-222i−2i2i−2i00000000000-22−2i2i0000000000
χ552-22-2222002-2-2-22-2-22-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000-22−2i2i−2i2i00000000000-222i−2i0000000000
χ562-22-2222002-2-2-22-2-22-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i00002-2−2i2i−2i2i000000000002-2−2i2i0000000000
χ5744444-2-244-24-2-24-2-2-24-2-211144-2-2111-2-2111-2-211144-2-2-2-2-2-2-2-2-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-244-24-2-24-2-2-24-2-2111-4-4-2-2111-2-2111-2-2111442222-2-2-2-222-4-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-4-24-2-24-2-2-24-2-21114-4-2-2111-2-2111-2-2111-4-4-2-2222222-224-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-4-24-2-24-2-2-24-2-2111-44-2-2111-2-2111-2-2111-4-422-2-222222-2-442222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-244-2-24-2-24-24-2-21-21144-21-211-21-211-21-211-2-2444444-2-2-2-2-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-244-2-24-2-24-24-2-21-211-4-4-21-211-21-211-21-211-2-2-4-4-4-444-2-22222-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-4-2-24-2-24-24-2-21-2114-4-21-211-21-211-21-2112244-4-4-4-422-22-2222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-4-2-24-2-24-24-2-21-211-44-21-211-21-211-21-21122-4-444-4-4222-22-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-24444-2-24-2-24-2-21-2-211441-2-2111-2-2111-2-211-2-2-2-2-2-2-2-24444-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-24444-2-24-2-24-2-21-2-211-4-41-2-2111-2-2111-2-211-2-22222-2-244-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-44-2-24-2-24-2-21-2-2114-41-2-2111-2-2111-2-21122-2-22222-4-44-4-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-44-2-24-2-24-2-21-2-211-441-2-2111-2-2111-2-2112222-2-222-4-4-442-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ704444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32-2-22222-2-2-2-22222111111−1−3i32−1+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
χ714444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ724444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32-2-22222-2-2-2-22222111111−1+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
χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i3222-2-2222222-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111−1−3i32−1+3i32111−1−3i32−1+3i32111−1−3i32−1+3i322222-2-222222-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ754444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i3222-2-2222222-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ764444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111−1+3i32−1−3i32111−1+3i32−1−3i32111−1+3i32−1−3i322222-2-222222-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-444-24-424-42-44-2-4-44-2-2-2-200-422224-2-2-2-2-422224-400004-4-2200004-4-22-22-2-22200000000000000000000000000000000000000000000000000000000000
χ7844-4-444-2-4424-42-44-2-4-44-2-2-2-200-422224-2-2-2-2-42222-440000-442-20000-442-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ7944-4-44-2-24-42422-4-2-22-4-2-21110022-1-1-1-2-211122-1-1-14-423−2323−23-22-220000-22-221-111-1-123−2300−33−3−33323−2300−33−3−333000000000000000000000000000000000000000
χ8044-4-44-2-24-42422-4-2-22-4-2-21110022-1-1-1-2-211122-1-1-14-4−2323−2323-22-220000-22-221-111-1-1−2323003−333−3−3−2323003−333−3−3000000000000000000000000000000000000000
χ8144-4-44-2-2-442422-4-2-22-4-2-21110022-1-1-1-2-211122-1-1-1-4423−23−23232-22-200002-22-2-11-1-11123−2300−33−3−333−2323003−333−3−3000000000000000000000000000000000000000
χ8244-4-44-2-2-442422-4-2-22-4-2-21110022-1-1-1-2-211122-1-1-1-44−232323−232-22-200002-22-2-11-1-111−2323003−333−3−323−2300−33−3−333000000000000000000000000000000000000000
χ8344-4-4-2444-4-4-2-4-4244-42-2-24-2-20022-422-2-24-2-222-422-2200004-44-40000-22-224-4-2-22200000000000000000000000000000000000000000000000000000000000
χ8444-4-4-244-44-4-2-4-4244-42-2-24-2-20022-422-2-24-2-222-4222-20000-44-4400002-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000
χ8544-4-4-24-24-42-2-4224-2-42-21-211002-12-1-1-21-2112-12-1-1-2200004-4-220000-221-1-2211-1-1003i−3i003i−3i−3i3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000
χ8644-4-4-24-24-42-2-4224-2-42-21-211002-12-1-1-21-2112-12-1-1-2200004-4-220000-221-1-2211-1-100−3i3i00−3i3i3i−3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000
χ8744-4-4-24-2-442-2-4224-2-42-21-211002-12-1-1-21-2112-12-1-12-20000-442-200002-2-112-2-1-111003i−3i003i−3i−3i3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000
χ8844-4-4-24-2-442-2-4224-2-42-21-211002-12-1-1-21-2112-12-1-12-20000-442-200002-2-112-2-1-11100−3i3i00−3i3i3i−3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000
χ8944-4-4-2-244-4-4-22-42-24221-2-21100-122-1-11-2-211-122-1-1-2223−2323−23-224-400001-1-22-2211-1-1−330023−23−3−333−330023−23−3−333000000000000000000000000000000000000000
χ9044-4-4-2-244-4-4-22-42-24221-2-21100-122-1-11-2-211-122-1-1-22−2323−2323-224-400001-1-22-2211-1-13−300−232333−3−33−300−232333−3−3000000000000000000000000000000000000000
χ9144-4-4-2-24-44-4-22-42-24221-2-21100-122-1-11-2-211-122-1-12-223−23−23232-2-440000-112-22-2-1-111−330023−23−3−3333−300−232333−3−3000000000000000000000000000000000000000
χ9244-4-4-2-24-44-4-22-42-24221-2-21100-122-1-11-2-211-122-1-12-2−232323−232-2-440000-112-22-2-1-1113−300−232333−3−3−330023−23−3−333000000000000000000000000000000000000000
χ9344-4-4-2-2-24-42-2222-2-222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-2223−2323−23-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ9444-4-4-2-2-24-42-2222-2-222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22−2323−2323-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i323−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ9544-4-4-2-2-24-42-2222-2-222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-2223−2323−23-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ9644-4-4-2-2-24-42-2222-2-222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22−2323−2323-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i323−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ9744-4-4-2-2-2-442-2222-2-222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-223−23−23232-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i32−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ9844-4-4-2-2-2-442-2222-2-222111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-2−232323−232-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i323−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ9944-4-4-2-2-2-442-2222-2-222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-223−23−23232-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ10044-4-4-2-2-2-442-2222-2-222111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-2−232323−232-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i323−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ1014-44-444-200-2-4-424-424-44-2-2-2-2004-2-2-2-2-42222-4222200000000000000000000000000000000000000000000004i−4i00000000000000000000000−2i2i0000000000
χ1024-44-444-200-2-4-424-424-44-2-2-2-2004-2-2-2-2-42222-422220000000000000000000000000000000000000000000000−4i4i000000000000000000000002i−2i0000000000
χ1034-44-44-24004-42-442-4-2-4-24-2-2-200-24-2-2-22-42222-4222000000000000000000000000000000000000000000004i−4i00000000−2i2i−2i2i0000000000000000000000000
χ1044-44-44-24004-42-442-4-2-4-24-2-2-200-24-2-2-22-42222-422200000000000000000000000000000000000000000000−4i4i000000002i−2i2i−2i0000000000000000000000000
χ1054-44-4-2440042-4-4-2-4-442-2-24-2-200-2-24-2-222-42222-42200000000000000000000000000000000000000000000000000004-4000000000000000-22000000000000
χ1064-44-4-2440042-4-4-2-4-442-2-24-2-200-2-24-2-222-42222-4220000000000000000000000000000000000000000000000000000-440000000000000002-2000000000000
χ1074-4-4444400-4-444-4-4-4-444444400-4-4-4-4-4-4-4-4-4-44444400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-4444-2002-44-2-4-42-444-2-2-2-200-42222-422224-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000−2i32i300000000000000
χ1094-4-4444-2002-44-2-4-42-444-2-2-2-200-42222-422224-2-2-2-200000000000000000000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ1104-4-444-2400-4-4-24-42-424-24-2-2-2002-42222-4222-24-2-2-200000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ1114-4-444-2400-4-4-24-42-424-24-2-2-2002-42222-4222-24-2-2-2000000000000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ1124-4-44-24400-42442-4-4-4-2-2-24-2-20022-42222-422-2-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000−2i32i30000
χ1134-4-44-24400-42442-4-4-4-2-2-24-2-20022-42222-422-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i30000
χ1148-88-88-4-400-4-844844-4-8-4-422200-4-422244-2-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-48-400-44-84-4-8484-42-42200-42-4224-24-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4800844-8-44-8-442-4-422002-4-422-244-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-400-4444-444-44222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-400-4444-444-44222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-4-4004-8-4-4-84448-4-42220044-2-2-244-2-2-2-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-48-400448-44-84-8-4-42-422004-24-2-24-24-2-2-42-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-4800-84-4844-84-42-4-42200-244-2-2-244-2-22-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-40044-4-44444-4222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-40044-4-44444-4222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.