Finite Group Databasebeta

← Group #13178315

Character table — Group #13178315

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244444444121212124444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-11-11-11111-1-111-1-1-1-1-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-1-11-1-1-1-1-1-111-1-11111-11-11
χ111111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-111-1-111-1-111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-1-11-11-1-11111-1-11111-1-1-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-11-11-111111-1-1-1-111-1-1-1-1-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-1-11111111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1111-1-11111-1-1-1-111-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-1-111-11-1-1-1111111-1-111-1-11-1-11
χ17222222-122-12-12222-122-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022000000220000000022-1-100000000-1-100-1-100
χ18222222-122-12-12222-122-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2000000-2-200000000-2-2110000000011001100
χ19222222-122-12-12222-122-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-2-2-222-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000220000002200000000-2-2-1-100000000-1-1001100
χ20222222-122-12-12222-122-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-2-2-2-222-1-111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-2-2000000-2-2000000002211000000001100-1-100
χ21222222-1-2-2-12-12222-122-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222-2-2-2-211-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111000022000000-2-2000000002-2-1-1000000001100-1100
χ22222222-1-2-2-12-12222-122-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-222-2-2-2-211-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-2-20000002200000000-221100000000-1-1001-100
χ23222222-1-2-2-12-12222-122-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-2111-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1000022000000-2-200000000-22-1-10000000011001-100
χ24222222-1-2-2-12-12222-122-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-222-2-2111-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-2-200000022000000002-21100000000-1-100-1100
χ2522222-12222222-1-1-122-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000220000-1-1-1-10022000000-1-1-1-1-1-100000000
χ2622222-12222222-1-1-122-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-20000111100-2-200000011111100000000
χ2722222-12222222-1-1-122-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1221111-1-122-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-211111122220000220000-1-1-1-100-2-2000000-1-1111100000000
χ2822222-12222222-1-1-122-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1221111-1-122-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111-2-2-2-20000-2-200001111002200000011-1-1-1-100000000
χ2922222-12-2-22222-1-1-122-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-11111-2-22-22-211-2-2111111-1-122-1-1-1-1-1-111-2-211111122220000-2-20000-1-1-1-1002-200000011-1-11100000000
χ3022222-12-2-22222-1-1-122-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-1-2-2-1-11111-2-22-22-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111-2-2-2-20000220000111100-22000000-1-111-1-100000000
χ3122222-12-2-22222-1-1-122-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-1-111-2-2-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-122220000-2-20000-1-1-1-100-220000001111-1-100000000
χ3222222-12-2-22222-1-1-122-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-1-2-211-1-111-2-2-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-1-2-2-2-200002200001111002-2000000-1-1-1-11100000000
χ332222-122222-12-12222-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000022002200000022000000-1-100000000-1-100-1-1
χ342222-122222-12-12222-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-200-2-2000000-2-20000001100000000110011
χ352222-122222-12-12222-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22222-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000220022000000-2-2000000-1-100000000-1-10011
χ362222-122222-12-12222-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-22222-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000-2-200-2-20000002200000011000000001100-1-1
χ372222-122-2-22-12-12222-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000002200-2-20000002-2000000-1-1000000001100-11
χ382222-122-2-22-12-12222-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-11122-2-2-2-2-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000-2-20022000000-220000001100000000-1-1001-1
χ392222-122-2-22-12-12222-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-2-2-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000002200-2-2000000-22000000-1-10000000011001-1
χ402222-122-2-22-12-12222-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-111-2-222-2-2-2-2-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-1000000-2-200220000002-20000001100000000-1-100-11
χ4122-2-2222002-2-222-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-22-22-200000022-2-20000002-22-200000000000000
χ4222-2-2222002-2-222-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-2-22-2200000022-2-2000000-22-2200000000000000
χ4322-2-2222002-2-222-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2222-2-22000000-2-2220000002-2-2200000000000000
χ4422-2-2222002-2-222-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-222-222-2000000-2-222000000-222-200000000000000
χ452-22-222200-2-22-2-22-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002i−2i2i−2i0000002-22i−2i2i−2i2i−2i00000000000000002i−2i2-20000
χ462-22-222200-2-22-2-22-2-222222200-2-2-2-2-2-2-2-2-2-222222000000000000000000000000000000000000000000002i−2i2i−2i000000-22−2i2i2i−2i2i−2i0000000000000000−2i2i-220000
χ472-22-222200-2-22-2-22-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000−2i2i−2i2i0000002-2−2i2i−2i2i−2i2i0000000000000000−2i2i2-20000
χ482-22-222200-2-22-2-22-2-222222200-2-2-2-2-2-2-2-2-2-22222200000000000000000000000000000000000000000000−2i2i−2i2i000000-222i−2i−2i2i−2i2i00000000000000002i−2i-220000
χ492-2-222222-2-22-2-2-2-222-22222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-2000000000000000000002i−2i−2i2i00002i−2i00002i−2i−2i2i00000000002i−2i000000000000
χ502-2-222222-2-22-2-2-2-222-22222200-2-2-2-2-222222-2-2-2-2-22-200002-22-200002-22-22-222-2-200000000000000000000−2i2i2i−2i0000−2i2i0000−2i2i2i−2i0000000000−2i2i000000000000
χ512-2-22222-22-22-2-2-2-222-22222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-222000000000000000000002i−2i−2i2i0000−2i2i00002i−2i−2i2i0000000000−2i2i000000000000
χ522-2-22222-22-22-2-2-2-222-22222200-2-2-2-2-222222-2-2-2-2-2-220000-22-220000-22-22-22-2-22200000000000000000000−2i2i2i−2i00002i−2i0000−2i2i2i−2i00000000002i−2i000000000000
χ532-2-222-122-2-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-21112-23−33−3-112-20000-112-2-11-1-1113−3003−333−3−33−3003−333−3−32i−2i−2i2i00002i−2i0000−iii−i0000000000−ii−i3i3−i3i300000000
χ542-2-222-122-2-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-21112-23−33−3-112-20000-112-2-11-1-1113−3003−333−3−33−3003−333−3−3−2i2i2i−2i0000−2i2i0000i−i−ii0000000000i−ii3−i3i3−i300000000
χ552-2-222-122-2-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-21112-2−33−33-112-20000-112-2-11-1-111−3300−33−3−333−3300−33−3−3332i−2i−2i2i00002i−2i0000−iii−i0000000000−iii3−i3i3−i300000000
χ562-2-222-122-2-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-21112-2−33−33-112-20000-112-2-11-1-111−3300−33−3−333−3300−33−3−333−2i2i2i−2i0000−2i2i0000i−i−ii0000000000i−i−i3i3−i3i300000000
χ572-2-222-12-22-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-2111-223−3−331-1-2200001-1-221-111-1-13−3003−333−3−3−3300−33−3−3332i−2i−2i2i0000−2i2i0000−iii−i0000000000i−i−i3i3i3−i300000000
χ582-2-222-12-22-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-2111-223−3−331-1-2200001-1-221-111-1-13−3003−333−3−3−3300−33−3−333−2i2i2i−2i00002i−2i0000i−i−ii0000000000−iii3−i3−i3i300000000
χ592-2-222-12-22-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-2111-22−333−31-1-2200001-1-221-111-1-1−3300−33−3−3333−3003−333−3−32i−2i−2i2i0000−2i2i0000−iii−i0000000000i−ii3−i3−i3i300000000
χ602-2-222-12-22-22-2-211-12-2-12-1-1-1001-2111-12-1-1-11-2111-22−333−31-1-2200001-1-221-111-1-1−3300−33−3−3333−3003−333−3−3−2i2i2i−2i00002i−2i0000i−i−ii0000000000−ii−i3i3i3−i300000000
χ6144444-2-244-24-24-2-2-2-24-2-211144-2-2111-2-2111-2-211144-2-2-2-2-2-2-2-2-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-24-24-2-2-2-24-2-2111-4-4-2-2111-2-2111-2-2111442222-2-2-2-222-4-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-24-24-2-2-2-24-2-21114-4-2-2111-2-2111-2-2111-4-4-2-2222222-224-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-24-24-2-2-2-24-2-2111-44-2-2111-2-2111-2-2111-4-422-2-222222-2-442222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ654444-24-244-2-2-2-2444-2-2-21-21144-21-211-21-211-21-211-2-2444444-2-2-2-2-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-2-2-2444-2-2-21-211-4-4-21-211-21-211-21-211-2-2-4-4-4-444-2-22222-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-2-2-2444-2-2-21-2114-4-21-211-21-211-21-2112244-4-4-4-422-22-2222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-2-2-2444-2-2-21-211-44-21-211-21-211-21-21122-4-444-4-4222-22-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ694444-2-24444-24-2-2-2-24-21-2-211441-2-2111-2-2111-2-211-2-2-2-2-2-2-2-24444-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-24444-24-2-2-2-24-21-2-211-4-41-2-2111-2-2111-2-211-2-22222-2-244-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ714444-2-24-4-44-24-2-2-2-24-21-2-2114-41-2-2111-2-2111-2-21122-2-22222-4-44-4-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-44-24-2-2-2-24-21-2-211-441-2-2111-2-2111-2-2112222-2-222-4-4-442-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
χ734444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ744444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2111−1+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+3i32000000000000000000000000000000000000000000
χ774444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+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+3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ8144-4-444-200-2-4244-4-42-44-2-2-2-2004-2-2-2-2-42222-422220000000000000000000000000000000000000000000000004-4000000000000000000-220000000000000000
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χ904-44-44-2400-4-44-42-22-44-24-2-2-2002-42222-4222-24-2-2-200000000000000000000000000000000000000000000−4i4i−4i4i00000000002i−2i2i−2i000000000000000000000000
χ914-44-4-24400-4242-44-4-4-2-2-24-2-20022-42222-422-2-24-2-20000000000000000000000000000000000000000000000000000004-4000000000000000000000000-220000
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χ934-4-4444-24-4242-4-4-44-2-44-2-2-2-200-422224-2-2-2-2-422224-400004-4-2200004-4-22-22-2-22200000000000000000000000000000000000000000000000000000000000000
χ944-4-4444-2-44242-4-4-44-2-44-2-2-2-200-422224-2-2-2-2-42222-440000-442-20000-442-22-222-2-200000000000000000000000000000000000000000000000000000000000000
χ954-4-444-2-24-4242-422-2-2-4-2-21110022-1-1-1-2-211122-1-1-14-423−2323−23-22-220000-22-221-111-1-123−2300−33−3−33323−2300−33−3−333000000000000000000000000000000000000000000
χ964-4-444-2-24-4242-422-2-2-4-2-21110022-1-1-1-2-211122-1-1-14-4−2323−2323-22-220000-22-221-111-1-1−2323003−333−3−3−2323003−333−3−3000000000000000000000000000000000000000000
χ974-4-444-2-2-44242-422-2-2-4-2-21110022-1-1-1-2-211122-1-1-1-4423−23−23232-22-200002-22-2-11-1-11123−2300−33−3−333−2323003−333−3−3000000000000000000000000000000000000000000
χ984-4-444-2-2-44242-422-2-2-4-2-21110022-1-1-1-2-211122-1-1-1-44−232323−232-22-200002-22-2-11-1-111−2323003−333−3−323−2300−33−3−333000000000000000000000000000000000000000000
χ994-4-44-2444-4-4-2-42-4-4442-2-24-2-20022-422-2-24-2-222-422-2200004-44-40000-22-224-4-2-22200000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-244-44-4-2-42-4-4442-2-24-2-20022-422-2-24-2-222-4222-20000-44-4400002-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-24-24-42-222-4-44-22-21-211002-12-1-1-21-2112-12-1-1-2200004-4-220000-221-1-2211-1-1003i−3i003i−3i−3i3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000000
χ1024-4-44-24-24-42-222-4-44-22-21-211002-12-1-1-21-2112-12-1-1-2200004-4-220000-221-1-2211-1-100−3i3i00−3i3i3i−3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000000
χ1034-4-44-24-2-442-222-4-44-22-21-211002-12-1-1-21-2112-12-1-12-20000-442-200002-2-112-2-1-111003i−3i003i−3i−3i3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000000
χ1044-4-44-24-2-442-222-4-44-22-21-211002-12-1-1-21-2112-12-1-12-20000-442-200002-2-112-2-1-11100−3i3i00−3i3i3i−3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000000
χ1054-4-44-2-244-4-4-2-4222-2421-2-21100-122-1-11-2-211-122-1-1-2223−2323−23-224-400001-1-22-2211-1-1−330023−23−3−333−330023−23−3−333000000000000000000000000000000000000000000
χ1064-4-44-2-244-4-4-2-4222-2421-2-21100-122-1-11-2-211-122-1-1-22−2323−2323-224-400001-1-22-2211-1-13−300−232333−3−33−300−232333−3−3000000000000000000000000000000000000000000
χ1074-4-44-2-24-44-4-2-4222-2421-2-21100-122-1-11-2-211-122-1-12-223−23−23232-2-440000-112-22-2-1-111−330023−23−3−3333−300−232333−3−3000000000000000000000000000000000000000000
χ1084-4-44-2-24-44-4-2-4222-2421-2-21100-122-1-11-2-211-122-1-12-2−232323−232-2-440000-112-22-2-1-1113−300−232333−3−3−330023−23−3−333000000000000000000000000000000000000000000
χ1094-4-44-2-2-24-42-22222-2-22111−1−3i32−1+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+ζ11000000000000000000000000000000000000000000
χ1104-4-44-2-2-24-42-22222-2-22111−1−3i32−1+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−ζ11000000000000000000000000000000000000000000
χ1114-4-44-2-2-24-42-22222-2-22111−1+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−ζ7−2ζ11000000000000000000000000000000000000000000
χ1124-4-44-2-2-24-42-22222-2-22111−1+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+2ζ11000000000000000000000000000000000000000000
χ1134-4-44-2-2-2-442-22222-2-22111−1−3i32−1+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−ζ11000000000000000000000000000000000000000000
χ1144-4-44-2-2-2-442-22222-2-22111−1−3i32−1+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+ζ11000000000000000000000000000000000000000000
χ1154-4-44-2-2-2-442-22222-2-22111−1+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+2ζ11000000000000000000000000000000000000000000
χ1164-4-44-2-2-2-442-22222-2-22111−1+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−ζ7−2ζ11000000000000000000000000000000000000000000
χ11788-8-88-4-400-4-848-4444-8-4-422200-4-422244-2-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-444-48-8-844-42-42200-42-4224-24-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12088-8-8-4-4-400-444-4-44444222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-400-444-4-44444222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-88-4-4004-8-4-84-4448-4-42220044-2-2-244-2-2-2-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1248-88-8-4-4800-84844-44-8-42-4-42200-244-2-2-244-2-22-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-40044-444-444-4222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-40044-444-444-4222−1+3i3−1−3i300-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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