Finite Group Databasebeta

← Group #13178228

Character table — Group #13178228

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order1222333446666666662333334666666666666666661212121212121212666666666666121212121212121212121212121212121212121212124444224444444412121212244444661212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-11-1-11-11111-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-111-1
χ5111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1
χ6111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1111-1-11111-1-1-1-11111-111-1
χ8111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-11-1-1-111-1-1111111-1-11-1-11
χ91111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ101111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-111-1-11-1-1-1-11111-1-111-1-1-1-111
χ111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-1111-11-1
χ121111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1111111-1-111-1-1-1-1-11-11
χ131111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1111111-1-11-111-1-111-1-1-1-111-1-111-1-111
χ141111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-111111-1-111-1-1-1111111-1-1-1-1-1-111-1-1
χ151111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-11111-11-11
χ161111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-11111-1-11-11-1
χ17222222-1222-12-12222-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000002200220000002020000000-1-1000000-1-1-100-1
χ18222222-1222-12-12222-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-12222222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-200-2-2000000-20-2000000011000000111001
χ19222222-1222-12-12222-1-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-22222-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-211111111000000220022000000-20-20000000-1-1000000-1-11001
χ20222222-1222-12-12222-1-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-22222-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-211111111000000-2-200-2-200000020200000001100000011-100-1
χ21222222-1-2-22-12-12222-122-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-2-2-2-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-2111111110000002200-2-200000020-2000000011000000-1-1-1001
χ22222222-1-2-22-12-12222-122-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-111-2-2-2-2-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-211111111000000-2-20022000000-2020000000-1-100000011100-1
χ23222222-1-2-22-12-12222-1-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-2-2-2-2-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-10000002200-2-2000000-202000000011000000-1-1100-1
χ24222222-1-2-22-12-12222-1-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-11122-2-2-2-2-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-1000000-2-2002200000020-20000000-1-100000011-1001
χ2522222-1222-12-12222-122-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122222200000000-1-1-1-1020020-1-1-1-1000000-1-1000000
χ2622222-1222-12-12222-122-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-20000000011110-200-20111100000011000000
χ2722222-1222-12-12222-12-2-12-1-1-1-211-12-1-1-1-1-122-1-1-1-1-1-1221122-1-1-2-211-2-2111111-2-2-1-122-1-1-1-1-1-111-2-211111122222200000000-1-1-1-10-200-20-1-11100000011000000
χ2822222-1222-12-12222-12-2-12-1-1-1-211-12-1-1-1-1-122-1-1-1-1-1-1221122-1-1-2-211-2-2111111-2-2-1-122-1-1-1-1-1-111-2-2111111-2-2-2-2-2-200000000111102002011-1-1000000-1-1000000
χ2922222-12-2-2-12-12222-122-12-1-1-1-2-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-211-2-21122-1-122-1-1-1-1-1-1-2-211-2-211111111-2-21111112222-2-200000000-1-1-1-10200-201111000000-1-1000000
χ3022222-12-2-2-12-12222-122-12-1-1-1-2-1-1-12-1-1-1-1-122-1-1-1-1-1-1-2-211-2-21122-1-122-1-1-1-1-1-1-2-211-2-211111111-2-2111111-2-2-2-2220000000011110-20020-1-1-1-100000011000000
χ3122222-12-2-2-12-12222-12-2-12-1-1-1211-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-1-2-211-2-211-2-21111112211-2-2111111-1-122-1-1-1-1-1-12222-2-200000000-1-1-1-10-2002011-1-100000011000000
χ3222222-12-2-2-12-12222-12-2-12-1-1-1211-12-1-1-1-1-122-1-1-1-1-1-1-2-2-1-1-2-211-2-211-2-21111112211-2-2111111-1-122-1-1-1-1-1-1-2-2-2-2220000000011110200-20-1-111000000-1-1000000
χ332222-122222222-1-1-1222-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-12222-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000002200220000000202000000-1-1-1-100000-1-10
χ342222-122222222-1-1-1222-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-12222-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-200-2-20000000-20-2000000111100000110
χ352222-122222222-1-1-122-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-2-1-1221-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-21111000000002200220000000-20-2000000-1-1-1-100000110
χ362222-122222222-1-1-122-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-2-1-1221-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-2111100000000-2-200-2-20000000202000000111100000-1-10
χ372222-122-2-22222-1-1-1222-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-21111000000002200-2-20000000-202000000-1-111000001-10
χ382222-122-2-22222-1-1-1222-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-2111100000000-2-20022000000020-200000011-1-100000-110
χ392222-122-2-22222-1-1-122-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-22211-2-21-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-1000000002200-2-2000000020-2000000-1-11100000-110
χ402222-122-2-22222-1-1-122-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-22211-2-21-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-100000000-2-200220000000-20200000011-1-1000001-10
χ4122-2-222200-22-2-22-2-22-2022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000022-2-200002i−2i2i−2i0022-2-200000000002i−2i2i−2i0000000000
χ4222-2-222200-22-2-22-2-22-2022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000022-2-20000−2i2i−2i2i0022-2-20000000000−2i2i−2i2i0000000000
χ4322-2-222200-22-2-22-2-22-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-2-22200002i−2i−2i2i00-2-2220000000000−2i2i2i−2i0000000000
χ4422-2-222200-22-2-22-2-22-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-2-2220000−2i2i2i−2i00-2-22200000000002i−2i−2i2i0000000000
χ452-22-2222002-2-2-2-22-2-22022222000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000002i−2i2i−2i002-200002i−2i2i−2i2i−2i000000000000002i−2i002-20000
χ462-22-2222002-2-2-2-22-2-22022222000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000002i−2i2i−2i00-220000−2i2i2i−2i2i−2i00000000000000−2i2i00-220000
χ472-22-2222002-2-2-2-22-2-22022222000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000000000−2i2i−2i2i002-20000−2i2i−2i2i−2i2i00000000000000−2i2i002-20000
χ482-22-2222002-2-2-2-22-2-22022222000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000000000−2i2i−2i2i00-2200002i−2i−2i2i−2i2i000000000000002i−2i00-220000
χ492-2-222222i−2i-2-222-2-22-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i002i−2i2i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000002i−2i−2i2i2-2000000002i−2i−2i2i0000002-20000000000000000
χ502-2-222222i−2i-2-222-2-22-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i002i−2i2i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000−2i2i2i−2i-2200000000−2i2i2i−2i000000-220000000000000000
χ512-2-22222−2i2i-2-222-2-22-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i00−2i2i−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000002i−2i−2i2i-22000000002i−2i−2i2i000000-220000000000000000
χ522-2-22222−2i2i-2-222-2-22-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i00−2i2i−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000−2i2i2i−2i2-200000000−2i2i2i−2i0000002-20000000000000000
χ532-2-222-122i−2i1-2-12-2-221-20-12-1-1-10−i3i3-12-1-1-111-2-21111112i−2i3−32i−2i−ii00−i3i300−i3i3−i3−i3i3i300−ii2i−2i−ii−i−iii3−3003−333−3−32i−2i−2i2i2-200000000−iii−i000000-11−i3i30000003−3000000
χ542-2-222-122i−2i1-2-12-2-221-20-12-1-1-10−i3i3-12-1-1-111-2-21111112i−2i3−32i−2i−ii00−i3i300−i3i3−i3−i3i3i300−ii2i−2i−ii−i−iii3−3003−333−3−3−2i2i2i−2i-2200000000i−i−ii0000001-1i3−i3000000−33000000
χ552-2-222-122i−2i1-2-12-2-221-20-12-1-1-10i3−i3-12-1-1-111-2-21111112i−2i−332i−2i−ii00i3−i300i3−i3i3i3−i3−i300−ii2i−2i−ii−i−iii−3300−33−3−3332i−2i−2i2i2-200000000−iii−i000000-11i3−i3000000−33000000
χ562-2-222-122i−2i1-2-12-2-221-20-12-1-1-10i3−i3-12-1-1-111-2-21111112i−2i−332i−2i−ii00i3−i300i3−i3i3i3−i3−i300−ii2i−2i−ii−i−iii−3300−33−3−333−2i2i2i−2i-2200000000i−i−ii0000001-1−i3i30000003−3000000
χ572-2-222-12−2i2i1-2-12-2-221-20-12-1-1-10−i3i3-12-1-1-111-2-2111111−2i2i−33−2i2ii−i00−i3i300−i3i3−i3−i3i3i300i−i−2i2ii−iii−i−i−3300−33−3−3332i−2i−2i2i-2200000000−iii−i0000001-1i3−i30000003−3000000
χ582-2-222-12−2i2i1-2-12-2-221-20-12-1-1-10−i3i3-12-1-1-111-2-2111111−2i2i−33−2i2ii−i00−i3i300−i3i3−i3−i3i3i300i−i−2i2ii−iii−i−i−3300−33−3−333−2i2i2i−2i2-200000000i−i−ii000000-11−i3i3000000−33000000
χ592-2-222-12−2i2i1-2-12-2-221-20-12-1-1-10i3−i3-12-1-1-111-2-2111111−2i2i3−3−2i2ii−i00i3−i300i3−i3i3i3−i3−i300i−i−2i2ii−iii−i−i3−3003−333−3−32i−2i−2i2i-2200000000−iii−i0000001-1−i3i3000000−33000000
χ602-2-222-12−2i2i1-2-12-2-221-20-12-1-1-10i3−i3-12-1-1-111-2-2111111−2i2i3−3−2i2ii−i00i3−i300i3−i3i3i3−i3−i300i−i−2i2ii−iii−i−i3−3003−333−3−3−2i2i2i−2i2-200000000i−i−ii000000-11i3−i30000003−3000000
χ6144444-2-244-2-2-2-2444-2-24-2-21114-2-2-2-2111-2-2-2-2111111-2-2-2-244-2-24-2-2-2-2-21111114-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-2-2-2-2444-2-2-4-2-2111-422-2-2111-2-2-2-2111111-2-22244-2-2-422222-1-1-1-1-1-1-42-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-2-2-2-2444-2-24-2-2111-4-2-2-2-2111-2-2-2-21111112222-4-4224-2-2-2-2-2111111-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-2-2-2-2444-2-2-4-2-2111422-2-2111-2-2-2-211111122-2-2-4-422-422222-1-1-1-1-1-14-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ654444-24-2444-24-2-2-2-24-24-21-211444-21-211-2-211-2-21111-2-244-2-244-2-2-2-211-2-21111-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-2444-24-2-2-2-24-2-4-21-211-4-4-4-21-211-2-211-2-21111-2-2-4-4-2-2442222-1-122-1-1-1-122-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-44-24-2-2-2-24-24-21-211-444-21-211-2-211-2-2111122-4-422-4-4-2-2-2-211-2-211112222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-44-24-2-2-2-24-2-4-21-2114-4-4-21-211-2-211-2-21111224422-4-42222-1-122-1-1-1-1-2-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ694444-2-2444-24-24-2-2-2-2441-2-2114-2-21-2-21111-2-2-2-2111144-2-2-2-2-2-2-2411-2-2-2-21111-2411-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-2444-24-24-2-2-2-24-41-2-211-4221-2-21111-2-2-2-211114422-2-2-2-22-4-1-12222-1-1-1-12-411-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ714444-2-24-4-4-24-24-2-2-2-2441-2-211-4-2-21-2-21111-2-2-2-21111-4-4222222-2411-2-2-2-211112-4-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-4-24-24-2-2-2-24-41-2-2114221-2-21111-2-2-2-21111-4-4-2-222222-4-1-12222-1-1-1-1-24-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
χ734444-2-2-244-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ744444-2-2-244-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i324-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-422111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-222-2-2-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i3222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-422111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-222-2-2-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i3222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ774444-2-2-2-4-4-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-4-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222222222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-4-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222222222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32422111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222-2-2222222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32422111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222-2-2222222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ8144-4-444-200-4-2-424-4-44204-2-2-2-2000-422224-4-22-22-2-22200000000000000000000000000000000000000000000000000004i−4i0000000000000000−2i2i000000000000
χ8244-4-444-200-4-2-424-4-44204-2-2-2-2000-422224-4-22-22-2-2220000000000000000000000000000000000000000000000000000−4i4i00000000000000002i−2i000000000000
χ8344-4-44-2400242-44-4-4-2-40-24-2-2-20002-4222-224-4-22-2-22200000000000000000000000000000000000000000044-4-40000000000-2-222000000000000000000000000
χ8444-4-44-2400242-44-4-4-2-40-24-2-2-20002-4222-224-4-22-2-222000000000000000000000000000000000000000000-4-444000000000022-2-2000000000000000000000000
χ8544-4-4-24400-44-4-4-2224-40-2-24-2-200022-422-22-224-4-2-222000000000000000000000000000000000000000000000000004i−4i00000000000000000000−2i2i0000000000
χ8644-4-4-24400-44-4-4-2224-40-2-24-2-200022-422-22-224-4-2-22200000000000000000000000000000000000000000000000000−4i4i000000000000000000002i−2i0000000000
χ874-44-444-20042-42-44-4-4-204-2-2-2-2000-42222-442-22-222-2-20000000000000000000000000000000000000000000000004-40000000000000000000000000000-220000
χ884-44-444-20042-42-44-4-4-204-2-2-2-2000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000-4400000000000000000000000000002-20000
χ894-44-44-2400-2-42-4-44-4240-24-2-2-20002-42222-2-442-222-2-20000000000000000000000000000000000000000004i−4i4i−4i0000000000−2i2i−2i2i000000000000000000000000
χ904-44-44-2400-2-42-4-44-4240-24-2-2-20002-42222-2-442-222-2-2000000000000000000000000000000000000000000−4i4i−4i4i00000000002i−2i2i−2i000000000000000000000000
χ914-44-4-244004-4-4-42-22-440-2-24-2-200022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000000000004i−4i000000000000000000−2i2i00000000
χ924-44-4-244004-4-4-42-22-440-2-24-2-200022-4222-22-2-4422-2-2000000000000000000000000000000000000000000000000000000−4i4i0000000000000000002i−2i00000000
χ934-4-4444-24i−4i-424-2-4-44-4204-2-2-2-20004-2-2-2-2-4-422222222−2i2i004i−4i4i−4i000000000000004i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ944-4-4444-2−4i4i-424-2-4-44-4204-2-2-2-20004-2-2-2-2-4-4222222222i−2i00−4i4i−4i4i00000000000000−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ954-4-444-2-24i−4i22-2-2-4-44220-2-21110−2i32i3-2-21112222-1-1-1-1-1-1−2i2i23−234i−4i−2i2i00−2i32i300i3−i3i3i3−i3−i300−2i2i−2i2ii−iii−i−i23−2300−33−3−333000000000000000000000000000000000000000000
χ964-4-444-2-24i−4i22-2-2-4-44220-2-211102i3−2i3-2-21112222-1-1-1-1-1-1−2i2i−23234i−4i−2i2i002i3−2i300−i3i3−i3−i3i3i300−2i2i−2i2ii−iii−i−i−2323003−333−3−3000000000000000000000000000000000000000000
χ974-4-444-2-2−4i4i22-2-2-4-44220-2-21110−2i32i3-2-21112222-1-1-1-1-1-12i−2i−2323−4i4i2i−2i00−2i32i300i3−i3i3i3−i3−i3002i−2i2i−2i−ii−i−iii−2323003−333−3−3000000000000000000000000000000000000000000
χ984-4-444-2-2−4i4i22-2-2-4-44220-2-211102i3−2i3-2-21112222-1-1-1-1-1-12i−2i23−23−4i4i2i−2i002i3−2i300−i3i3−i3−i3i3i3002i−2i2i−2i−ii−i−iii23−2300−33−3−333000000000000000000000000000000000000000000
χ994-4-44-2444i−4i-4-44422-2-4-40-2-24-2-2000-2-24-2-22222-4-422224i−4i00−2i2i4i−4i00000000000000−2i2i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ1004-4-44-244−4i4i-4-44422-2-4-40-2-24-2-2000-2-24-2-22222-4-42222−4i4i002i−2i−4i4i000000000000002i−2i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ1014-4-44-24-24i−4i-424-222-2-420-21-211000-21-21122-1-122-1-1-1-1−2i2i00−2i2i4i−4i00003-3003-3-3300−2i2ii−i−2i2iii−i−i003i−3i003i−3i−3i3i000000000000000000000000000000000000000000
χ1024-4-44-24-24i−4i-424-222-2-420-21-211000-21-21122-1-122-1-1-1-1−2i2i00−2i2i4i−4i0000-3300-333-300−2i2ii−i−2i2iii−i−i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000000
χ1034-4-44-24-2−4i4i-424-222-2-420-21-211000-21-21122-1-122-1-1-1-12i−2i002i−2i−4i4i00003-3003-3-33002i−2i−ii2i−2i−i−iii00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-44-24-2−4i4i-424-222-2-420-21-211000-21-21122-1-122-1-1-1-12i−2i002i−2i−4i4i0000-3300-333-3002i−2i−ii2i−2i−i−iii003i−3i003i−3i−3i3i000000000000000000000000000000000000000000
χ1054-4-44-2-244i−4i2-4-2422-22-401-2-2110−2i32i31-2-211-1-12222-1-1-1-14i−4i23−23−2i2i−2i2i00i3−i300−2i32i3i3i3−i3−i300i−i−2i2i−2i2iii−i−i−330023−23−3−333000000000000000000000000000000000000000000
χ1064-4-44-2-244i−4i2-4-2422-22-401-2-21102i3−2i31-2-211-1-12222-1-1-1-14i−4i−2323−2i2i−2i2i00−i3i3002i3−2i3−i3−i3i3i300i−i−2i2i−2i2iii−i−i3−300−232333−3−3000000000000000000000000000000000000000000
χ1074-4-44-2-24−4i4i2-4-2422-22-401-2-2110−2i32i31-2-211-1-12222-1-1-1-1−4i4i−23232i−2i2i−2i00i3−i300−2i32i3i3i3−i3−i300−ii2i−2i2i−2i−i−iii3−300−232333−3−3000000000000000000000000000000000000000000
χ1084-4-44-2-24−4i4i2-4-2422-22-401-2-21102i3−2i31-2-211-1-12222-1-1-1-1−4i4i23−232i−2i2i−2i00−i3i3002i3−2i3−i3−i3i3i300−ii2i−2i2i−2i−i−iii−330023−23−3−333000000000000000000000000000000000000000000
χ1094-4-44-2-2-24i−4i22-2-222-2220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2i2i23−23−2i2i−2i2i00i3−i33-3i3−i3−3−i323−i323+i32−3+i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1104-4-44-2-2-24i−4i22-2-222-2220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2i2i−2323−2i2i−2i2i00−i3i3-33−i3i33+i32−3+i32−3−i323−i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1114-4-44-2-2-24i−4i22-2-222-2220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i23−23−2i2i−2i2i00i3−i3-33i3−i33−i32−3−i32−3+i323+i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1124-4-44-2-2-24i−4i22-2-222-2220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i−2323−2i2i−2i2i00−i3i33-3−i3i3−3+i323+i323−i32−3−i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1134-4-44-2-2-2−4i4i22-2-222-2220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i−23232i−2i2i−2i00i3−i33-3i3−i3−3−i323−i323+i32−3+i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1144-4-44-2-2-2−4i4i22-2-222-2220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i23−232i−2i2i−2i00−i3i3-33−i3i33+i32−3+i32−3−i323−i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1154-4-44-2-2-2−4i4i22-2-222-2220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i−23232i−2i2i−2i00i3−i3-33i3−i33−i32−3−i32−3+i323+i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1164-4-44-2-2-2−4i4i22-2-222-2220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i23−232i−2i2i−2i00−i3i33-3−i3i3−3+i323+i323−i32−3−i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ11788-8-88-4-4004-4448-8-8-440-4-422200044-2-2-2-44-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-8-4-84-444840-42-4220004-24-2-2-442-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4800484-8-444-4-802-4-422000-244-2-22-2-44-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-4004-444-444-440222−1−3i3−1+3i3000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-4004-444-444-440222−1+3i3−1−3i3000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-88-4-400-4444-88-84-40-4-422200044-2-2-24-44-4-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-48-40084-844-44-8-40-42-4220004-24-2-24-4-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4800-4-84-84-444802-4-422000-244-2-2-224-44-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-400-44444-444-40222−1−3i3−1+3i3000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-400-44444-444-40222−1+3i3−1−3i3000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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