Finite Group Databasebeta

← Group #13178312

Character table — Group #13178312

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444441212121222222246666121212121212121212126666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-111-111-1-111-1-1-1-11111-1-111
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-1-111-1-111-1-1111111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-11-1-11-1-1-1-1-1-11111-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-11-11111-1-1-1-1-1-111-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-11-1111-1-1-1-11111-1-111-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-11-1-11-1-1-1-1-11111-1-1-1-111-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-1111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1111-11-1-11111-1-11111-1-1-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-1111111-1-11-1-11
χ17222222-1222-12-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122-1-12222222-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000220000000222000-1-100-1-100000000-1-1
χ18222222-1222-12-122-1222-1-1-1-1222-1-1-1-12-1-1-1-12-1-1-1-122-1-12222222-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-20000000-2-2-20001100110000000011
χ19222222-1222-12-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-1-1-2-2-2-222-21-2122-1-1-1-1-1-1-1-1-2-211111111-2-211111111000000002200000002-2-2000-1-100-1-10000000011
χ20222222-1222-12-122-1222-1-1-1-1-2-22-1-1-1-12-1-1-1-12-1-1-1-122-1-1-2-2-2-222-21-2122-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000-2-20000000-22200011001100000000-1-1
χ21222222-1-2-22-12-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-21122-2-2-2-22-1-21-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100000000220000000-22-20001100-1-100000000-11
χ22222222-1-2-22-12-122-1222-1-1-1-12-22-1-1-1-12-1-1-1-12-1-1-1-1-2-21122-2-2-2-22-1-21-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100000000-2-200000002-22000-1-10011000000001-1
χ23222222-1-2-22-12-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-211-2-222-2-2-212-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000220000000-2-220001100-1-1000000001-1
χ24222222-1-2-22-12-122-1222-1-1-1-1-222-1-1-1-12-1-1-1-12-1-1-1-1-2-211-2-222-2-2-212-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000-2-2000000022-2000-1-1001100000000-11
χ2522222-1222-12-122-1222-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-1-1-122222222-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000220000002220000-1-100-1-100000000-1-100
χ2622222-1222-12-122-1222-12-1-1-122-12-1-1-1-12-1-1-1-12-1-1-1-1-122222222-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000-2-2000000-2-2-20000110011000000001100
χ2722222-1222-12-122-1222-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1-1-122-2-2-2-2221-21-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000220000002-2-20000-1-100-1-1000000001100
χ2822222-1222-12-122-1222-12-1-1-1-2-2-12-1-1-1-12-1-1-1-12-1-1-1-1-122-2-2-2-2221-21-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000-2-2000000-222000011001100000000-1-100
χ2922222-12-2-2-12-122-1222-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-111-2-222-2-2-2-2-121-211-2-2111111-1-122-1-1-1-1-1-111-2-211111100000022000000-22-200001100-1-100000000-1100
χ3022222-12-2-2-12-122-1222-12-1-1-12-2-12-1-1-1-12-1-1-1-12-1-1-111-2-222-2-2-2-2-121-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000-2-20000002-220000-1-10011000000001-100
χ3122222-12-2-2-12-122-1222-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-111-2-2-2-222-2-21-2-1211-2-211111111-2-2111111-1-122-1-1-1-1-1-100000022000000-2-2200001100-1-1000000001-100
χ3222222-12-2-2-12-122-1222-12-1-1-1-22-12-1-1-1-12-1-1-1-12-1-1-111-2-2-2-222-2-21-2-1211-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000-2-200000022-20000-1-1001100000000-1100
χ332222-122222222-122-1-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222220000-1-1-1-1000000200000000-1-1-1-1-1-10000
χ342222-122222222-122-1-1-1-12-1-122-1-12-1-1-1-12-1-1-1-12-1-12222-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-200001111000000-2000000001111110000
χ352222-122222222-122-1-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-122221111-1-1-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111122-2-2-2-20000-1-1-1-1000000200000000-1-111110000
χ362222-122222222-122-1-1-1-12-1-1-2-2-1-12-1-1-1-12-1-1-1-12-1-122221111-1-1-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2222200001111000000-20000000011-1-1-1-10000
χ372222-122-2-22222-122-1-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-2-1-1111122-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-211112222-2-20000-1-1-1-1000000-20000000011-1-1110000
χ382222-122-2-22222-122-1-1-1-12-1-12-2-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-2-1-1111122-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-2-2-22200001111000000200000000-1-111-1-10000
χ392222-122-2-22222-122-1-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-211-1-111-2-2221111-2-211111111-2-21111-1-1-1-122-1-1-1-122-2-2220000-1-1-1-1000000-2000000001111-1-10000
χ402222-122-2-22222-122-1-1-1-12-1-1-22-1-12-1-1-1-12-1-1-1-12-1-1-2-2-2-211-1-111-2-2221111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-222-2-200001111000000200000000-1-1-1-1110000
χ4122-2-22220022-2-22-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-200002i−2i2i−2i22-2-2000000000002i−2i2i−2i0000000000
χ4222-2-22220022-2-22-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-20000−2i2i−2i2i22-2-200000000000−2i2i−2i2i0000000000
χ4322-2-22220022-2-22-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2200002i−2i−2i2i-2-222000000000002i−2i−2i2i0000000000
χ4422-2-22220022-2-22-2-2-2-2222220022222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-220000−2i2i2i−2i-2-22200000000000−2i2i2i−2i0000000000
χ452-2-222222-2-2-2-2-2-222-222222200-2-2-2-2-222222-2-2-2-2-22-22-200002-200002-22-22-222-2-200000000000000000000002-22-200000000000000000000000002-22-20000
χ462-2-222222-2-2-2-2-2-222-222222200-2-2-2-2-222222-2-2-2-2-22-22-200002-200002-22-22-222-2-20000000000000000000000-22-220000000000000000000000000-22-220000
χ472-2-22222-22-2-2-2-2-222-222222200-2-2-2-2-222222-2-2-2-2-2-22-220000-220000-22-22-22-2-22200000000000000000000002-2-2200000000000000000000000002-2-220000
χ482-2-22222-22-2-2-2-2-222-222222200-2-2-2-2-222222-2-2-2-2-2-22-220000-220000-22-22-22-2-2220000000000000000000000-222-20000000000000000000000000-222-20000
χ492-2-22-1222-2-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-2112-22-23−33−3-110000-11-112-2-1-1113−33−30033−3−33−33−30033−3−3002-22-200003−33−30000000000000003−3-11-110000
χ502-2-22-1222-2-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-2112-22-23−33−3-110000-11-112-2-1-1113−33−30033−3−33−33−30033−3−300-22-220000−33−33000000000000000−331-11-10000
χ512-2-22-1222-2-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-2112-22-2−33−33-110000-11-112-2-1-111−33−3300−3−333−33−3300−3−333002-22-20000−33−33000000000000000−33-11-110000
χ522-2-22-1222-2-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-2112-22-2−33−33-110000-11-112-2-1-111−33−3300−3−333−33−3300−3−33300-22-2200003−33−30000000000000003−31-11-10000
χ532-2-22-122-22-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-211-22-223−3−331-100001-11-1-2211-1-13−33−30033−3−3−33−3300−3−333002-2-2200003−33−3000000000000000−33-111-10000
χ542-2-22-122-22-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-211-22-223−3−331-100001-11-1-2211-1-13−33−30033−3−3−33−3300−3−33300-222-20000−33−330000000000000003−31-1-110000
χ552-2-22-122-22-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-211-22-22−333−31-100001-11-1-2211-1-1−33−3300−3−3333−33−30033−3−3002-2-220000−33−330000000000000003−3-111-10000
χ562-2-22-122-22-2-2-2-21221-1-1-12-1-10011-211-1-12-1-111-211-22-22−333−31-100001-11-1-2211-1-1−33−3300−3−3333−33−30033−3−300-222-200003−33−3000000000000000−331-1-110000
χ5744444-2-244-2-2-2-24-2-244-2-211144-2-2111-2-2111-2-2111-2-2-2-2444444-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-244-2-2-2-24-2-244-2-2111-4-4-2-2111-2-2111-2-2111-2-2-2-2-4-4-4-4442222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-4-2-2-2-24-2-244-2-21114-4-2-2111-2-2111-2-2111222244-4-4-4-4-2-2222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-4-2-2-2-24-2-244-2-2111-44-2-2111-2-2111-2-21112222-4-444-4-422-2-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-2444-24-2-24-2-2-2-21-21144-21-211-21-211-21-21144-2-2-2-2-2-2-2-24-24-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-2444-24-2-24-2-2-2-21-211-4-4-21-211-21-211-21-21144-2-22222-2-2-42-42-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-44-24-2-24-2-2-2-21-2114-4-21-211-21-211-21-211-4-422-2-222224-2-4222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-44-24-2-24-2-2-2-21-211-44-21-211-21-211-21-211-4-42222-2-222-424-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-24-24-2-24-2-21-2-211441-2-2111-2-2111-2-211-2-244-2-2-2-2-2-2-24-2411-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-24-24-2-24-2-21-2-211-4-41-2-2111-2-2111-2-211-2-2442222-2-22-42-411-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-24-24-2-24-2-21-2-2114-41-2-2111-2-2111-2-21122-4-4-2-22222-242-4-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-24-24-2-24-2-21-2-211-441-2-2111-2-2111-2-21122-4-422-2-2222-4-24-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
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+3i32-2-2-2-22222-2-22222111111−1−3i32−1+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
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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+3i322222-2-22222-2-222-1-1-1-1-1-11+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+3i32222222-2-22222-2-2-1-1-1-1-1-11+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+3i32−1−3i322222-2-22222-2-222-1-1-1-1-1-11−3i321+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+3i32−1−3i32222222-2-22222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
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χ904-4-4444-24-4-42-42-44-2-444-2-2-2-200-422224-2-2-2-2-422224-4-2200004-400004-4-22-22-2-22200000000000000000000000000000000000000000000000000000000000
χ914-4-4444-2-44-42-42-44-2-444-2-2-2-200-422224-2-2-2-2-42222-442-20000-440000-442-22-222-2-200000000000000000000000000000000000000000000000000000000000
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χ934-4-444-24-442-42-4-4-24-44-24-2-2-2002-4222-24-2-2-22-42222-2-440000-4400002-2-442-222-2-200000000000000000000000000000000000000000000000000000000000
χ944-4-444-2-24-42222-4-2-2-44-2-21110022-1-1-1-2-211122-1-1-1-22-2200004-40000-22-221-111-1-100003i−3i3i−3i−3i3i00003i−3i3i−3i−3i3i000000000000000000000000000000000000000
χ954-4-444-2-24-42222-4-2-2-44-2-21110022-1-1-1-2-211122-1-1-1-22-2200004-40000-22-221-111-1-10000−3i3i−3i3i3i−3i0000−3i3i−3i3i3i−3i000000000000000000000000000000000000000
χ964-4-444-2-2-442222-4-2-2-44-2-21110022-1-1-1-2-211122-1-1-12-22-20000-4400002-22-2-11-1-11100003i−3i3i−3i−3i3i0000−3i3i−3i3i3i−3i000000000000000000000000000000000000000
χ974-4-444-2-2-442222-4-2-2-44-2-21110022-1-1-1-2-211122-1-1-12-22-20000-4400002-22-2-11-1-1110000−3i3i−3i3i3i−3i00003i−3i3i−3i−3i3i000000000000000000000000000000000000000
χ984-4-44-24-24-4-42-4224-22-2-21-211002-12-1-1-21-2112-12-1-14-4-2223−2323−23-220000-221-1-2211-1-123−23−3300−3−33323−23−3300−3−333000000000000000000000000000000000000000
χ994-4-44-24-24-4-42-4224-22-2-21-211002-12-1-1-21-2112-12-1-14-4-22−2323−2323-220000-221-1-2211-1-1−23233−30033−3−3−23233−30033−3−3000000000000000000000000000000000000000
χ1004-4-44-24-2-44-42-4224-22-2-21-211002-12-1-1-21-2112-12-1-1-442-223−23−23232-200002-2-112-2-1-11123−23−3300−3−333−23233−30033−3−3000000000000000000000000000000000000000
χ1014-4-44-24-2-44-42-4224-22-2-21-211002-12-1-1-21-2112-12-1-1-442-2−232323−232-200002-2-112-2-1-111−23233−30033−3−323−23−3300−3−333000000000000000000000000000000000000000
χ1024-4-44-2-244-42-42-42-242-21-2-21100-122-1-11-2-211-122-1-1-224-423−2323−23-2200001-1-22-2211-1-1−3323−2300−3−333−3323−2300−3−333000000000000000000000000000000000000000
χ1034-4-44-2-244-42-42-42-242-21-2-21100-122-1-11-2-211-122-1-1-224-4−2323−2323-2200001-1-22-2211-1-13−3−23230033−3−33−3−23230033−3−3000000000000000000000000000000000000000
χ1044-4-44-2-24-442-42-42-242-21-2-21100-122-1-11-2-211-122-1-12-2-4423−23−23232-20000-112-22-2-1-111−3323−2300−3−3333−3−23230033−3−3000000000000000000000000000000000000000
χ1054-4-44-2-24-442-42-42-242-21-2-21100-122-1-11-2-211-122-1-12-2-44−232323−232-20000-112-22-2-1-1113−3−23230033−3−3−3323−2300−3−333000000000000000000000000000000000000000
χ1064-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22-2223−2323−23-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ1074-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32-22-22−2323−2323-2200001-11-11-1−1−3i32−1+3i321+3i321−3i323−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1084-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22-2223−2323−23-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ1094-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-22-22−2323−2323-2200001-11-11-1−1+3i32−1−3i321−3i321+3i323−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1104-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-22-223−23−23232-20000-11-11-111+3i321−3i32−1−3i32−1+3i32−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1114-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i3200-1-1-11+3i321−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i322-22-2−232323−232-20000-11-11-111+3i321−3i32−1−3i32−1+3i323−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ1124-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-22-223−23−23232-20000-11-11-111−3i321+3i32−1+3i32−1−3i32−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1134-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i3200-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i322-22-2−232323−232-20000-11-11-111−3i321+3i32−1+3i32−1−3i323−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ11488-8-88-4-400-4-444844-8-8-4-422200-4-422244-2-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-48-4008-4-84-4-8444-42-42200-42-4224-24-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4800-484-8-44-8442-4-422002-4-422-244-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-4-444-44444222−1−3i3−1+3i300222−1−3i3−1+3i3-2-2-21+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-4-444-44444222−1+3i3−1−3i300222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-4-40044-4-4-8448-8-4-42220044-2-2-244-2-2-2-4-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-48-400-848-44-84-44-42-422004-24-2-24-24-2-2-42-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-48004-8-4844-8-442-4-42200-244-2-2-244-2-22-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-40044-4-4444-44222−1−3i3−1+3i300-2-2-21+3i31−3i3-2-2-21+3i31−3i3222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-40044-4-4444-44222−1+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.