Finite Group Databasebeta

← Group #13178285

Character table — Group #13178285

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order1222333446666666662333334666666666666666661212121212121212666666666666121212121212121212121212121212121212121212122222222244444466662224446666661212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-111-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-1-111-11-11
χ5111111111111111111-111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ6111111111111111111-111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-111-111-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111-111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-111-111111-1-1-1-11111-1-1-11-11
χ8111111111111111111-111111-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-111-1-111-1-111-1-1111-11-1
χ91111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ101111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-111-1-11111-1-111-111-1
χ121111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-1-1-1-111111111-1-11-1-11
χ131111111-1-1111111111-1111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1111-1-1-1-11111-1-111-1-1-1-111-1-1
χ141111111-1-1111111111-1111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-1-1-1-1111111-1-111
χ151111111-1-1111111111-1111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-111111-1-111-1-1-1-1111-1-11
χ161111111-1-1111111111-1111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-111-1-11111-1-111-1-1-111-1
χ17222222-12222-12222-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000002200002200000020020000-1-1000000-1-10-10-1
χ18222222-12222-12222-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000-2-20000-2-2000000-200-2000011000000110101
χ19222222-12222-12222-1-1-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-2-2-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-21111111100000022000022000000-200-20000-1-1000000-1-10101
χ20222222-12222-12222-1-1-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-2-2-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-211111111000000-2-20000-2-20000002002000011000000110-10-1
χ21222222-1-2-222-12222-1-122-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-211111111000000220000-2-2000000-20020000-1-100000011010-1
χ22222222-1-2-222-12222-1-122-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-211111111000000-2-2000022000000200-2000011000000-1-10-101
χ23222222-1-2-222-12222-1-1-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21122-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-1000000220000-2-2000000200-20000-1-1000000110-101
χ24222222-1-2-222-12222-1-1-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21122-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-1000000-2-2000022000000-2002000011000000-1-1010-1
χ2522222-12222-1222-1-1222-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100002200002200000002002000-1-1000000-1-100-10-10
χ2622222-12222-1222-1-1222-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-122-1-12222-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-20000-2-20000000-200-20001100000011001010
χ2722222-12222-1222-1-122-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-122-1-122-2-21-211-2-21111111-2-1-122-1-1-1-1-1-111-2-21111110000220000220000000-200-2000-1-1000000-1-1001010
χ2822222-12222-1222-1-122-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-122-1-122-2-21-211-2-21111111-2-1-122-1-1-1-1-1-111-2-21111110000-2-20000-2-200000002002000110000001100-10-10
χ2922222-12-2-22-1222-1-1222-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-1-2-211-2-2-2-2-12-1-122-1-1-1-1-1-11-211-2-211111111-2-21111110000220000-2-20000000-2002000-1-1000000110010-10
χ3022222-12-2-22-1222-1-1222-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-1-2-211-2-2-2-2-12-1-122-1-1-1-1-1-11-211-2-211111111-2-21111110000-2-20000220000000200-200011000000-1-100-1010
χ3122222-12-2-22-1222-1-122-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-211-2-2221-211-2-2111111-1211-2-2111111-1-122-1-1-1-1-1-10000220000-2-20000000200-2000-1-10000001100-1010
χ3222222-12-2-22-1222-1-122-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-211-2-2221-211-2-2111111-1211-2-2111111-1-122-1-1-1-1-1-10000-2-20000220000000-200200011000000-1-10010-10
χ332222-12222-122-1-122222-1-12-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122220000220000-1-1-1-1200200-1-10000-1-1-1-100000000
χ342222-12222-122-1-122222-1-12-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-200001111-200-200110000111100000000
χ352222-12222-122-1-12222-2-1-12-1-1-211-1-12-1-1-1-1-1-122-1-1-1-1-1-1222211-2-21111-2-21111-2-2-1-1-1-122-1-1-1-11111-2-2111122220000220000-1-1-1-1-200-200110000-1-11100000000
χ362222-12222-122-1-12222-2-1-12-1-1-211-1-12-1-1-1-1-1-122-1-1-1-1-1-1222211-2-21111-2-21111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-2-2-20000-2-200001111200200-1-1000011-1-100000000
χ372222-122-2-2-122-1-122222-1-12-1-1-2-1-1-1-12-1-1-1-1-1-122-1-1-1-111-2-2-2-21122-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-2111122220000-2-20000-1-1-1-1200-200-1-10000111100000000
χ382222-122-2-2-122-1-122222-1-12-1-1-2-1-1-1-12-1-1-1-1-1-122-1-1-1-111-2-2-2-21122-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-21111-2-2-2-200002200001111-200200110000-1-1-1-100000000
χ392222-122-2-2-122-1-12222-2-1-12-1-1211-1-12-1-1-1-1-1-122-1-1-1-111-2-2-2-2-1-1-2-21111-2-21111221111-2-21111-1-1-1-122-1-1-1-122220000-2-20000-1-1-1-1-20020011000011-1-100000000
χ402222-122-2-2-122-1-12222-2-1-12-1-1211-1-12-1-1-1-1-1-122-1-1-1-111-2-2-2-2-1-1-2-21111-2-21111221111-2-21111-1-1-1-122-1-1-1-1-2-2-2-200002200001111200-200-1-10000-1-11100000000
χ4122-2-22222i−2i222-2-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i2i−2i−2i000000000022-2-200002i−2i000022-2-20000000000002i−2i0000000000
χ4222-2-22222i−2i222-2-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000-2-2220000−2i2i0000-2-222000000000000−2i2i0000000000
χ4322-2-2222−2i2i222-2-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i−2i2i2i000000000022-2-20000−2i2i000022-2-2000000000000−2i2i0000000000
χ4422-2-2222−2i2i222-2-2-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000-2-22200002i−2i0000-2-2220000000000002i−2i0000000000
χ4522-2-2-1222i−2i-12211-2-2-2-20-1-12-1-10−i3i3-1-12-1-11111-2-21111−ii2i−2i2i−2i3−300−i3i3−i3i300−i3−i3i3i300−ii−ii2i−2i−i−iii3−33−30033−3−322-2-200002i−2i0000-1-111000000−i3i30000−ii3−300000000
χ4622-2-2-1222i−2i-12211-2-2-2-20-1-12-1-10−i3i3-1-12-1-11111-2-21111−ii2i−2i2i−2i3−300−i3i3−i3i300−i3−i3i3i300−ii−ii2i−2i−i−iii3−33−30033−3−3-2-2220000−2i2i000011-1-1000000i3−i30000i−i−3300000000
χ4722-2-2-1222i−2i-12211-2-2-2-20-1-12-1-10i3−i3-1-12-1-11111-2-21111−ii2i−2i2i−2i−3300i3−i3i3−i300i3i3−i3−i300−ii−ii2i−2i−i−iii−33−3300−3−33322-2-200002i−2i0000-1-111000000i3−i30000−ii−3300000000
χ4822-2-2-1222i−2i-12211-2-2-2-20-1-12-1-10i3−i3-1-12-1-11111-2-21111−ii2i−2i2i−2i−3300i3−i3i3−i300i3i3−i3−i300−ii−ii2i−2i−i−iii−33−3300−3−333-2-2220000−2i2i000011-1-1000000−i3i30000i−i3−300000000
χ4922-2-2-122−2i2i-12211-2-2-2-20-1-12-1-10−i3i3-1-12-1-11111-2-21111i−i−2i2i−2i2i−3300−i3i3−i3i300−i3−i3i3i300i−ii−i−2i2iii−i−i−33−3300−3−33322-2-20000−2i2i0000-1-111000000−i3i30000i−i−3300000000
χ5022-2-2-122−2i2i-12211-2-2-2-20-1-12-1-10−i3i3-1-12-1-11111-2-21111i−i−2i2i−2i2i−3300−i3i3−i3i300−i3−i3i3i300i−ii−i−2i2iii−i−i−33−3300−3−333-2-22200002i−2i000011-1-1000000i3−i30000−ii3−300000000
χ5122-2-2-122−2i2i-12211-2-2-2-20-1-12-1-10i3−i3-1-12-1-11111-2-21111i−i−2i2i−2i2i3−300i3−i3i3−i300i3i3−i3−i300i−ii−i−2i2iii−i−i3−33−30033−3−322-2-20000−2i2i0000-1-111000000i3−i30000i−i3−300000000
χ5222-2-2-122−2i2i-12211-2-2-2-20-1-12-1-10i3−i3-1-12-1-11111-2-21111i−i−2i2i−2i2i3−300i3−i3i3−i300i3i3−i3−i300i−ii−i−2i2iii−i−i3−33−30033−3−3-2-22200002i−2i000011-1-1000000−i3i30000−ii−3300000000
χ532-22-222200-2-2-22-22-22-2022222000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-22-20000002-22-22-22-200000000000000002-22-20000
χ542-22-222200-2-2-22-22-22-2022222000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-22-2000000-22-222-22-20000000000000000-22-220000
χ552-22-222200-2-2-22-22-22-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-22-220000002-2-22-22-2200000000000000002-2-220000
χ562-22-222200-2-2-22-22-22-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-22-22000000-222-2-22-220000000000000000-222-20000
χ572-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000002-2-222-22-20000002-2-22000000002-22-2000000000000
χ582-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000002-2-22-22-220000002-2-2200000000-22-22000000000000
χ592-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000000000-222-22-2-22000000-222-2000000002-2-22000000000000
χ602-2-2222200-2-2-2-22-22-22022222000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000000000-222-2-222-2000000-222-200000000-222-2000000000000
χ6144444-2-2444-2-244-2-2-2-24-2-2111444-2-2111-2-2-2-211111144-2-2-2-244-2-2-2-2-2-2111111-2-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-2444-2-244-2-2-2-2-4-2-2111-4-4-4-2-2111-2-2-2-211111144-2-2-2-2-4-4222222-1-1-1-1-1-122-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-44-2-244-2-2-2-24-2-2111-444-2-2111-2-2-2-2111111-4-42222-4-4-2-2-2-2-2-2111111222222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-44-2-244-2-2-2-2-4-2-21114-4-4-2-2111-2-2-2-2111111-4-4222244222222-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ654444-24-244-24-2-2-244-2-24-21-2114-2-2-21-211-2-211-2-21111-2-244-2-2-2-24-2-2-211-2-211114-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-24-2-2-244-2-2-4-21-211-422-21-211-2-211-2-21111-2-244-2-222-4222-1-122-1-1-1-1-42-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-24-2-2-244-2-24-21-211-4-2-2-21-211-2-211-2-2111122-4-422224-2-2-211-2-21111-4222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-24-2-2-244-2-2-4-21-211422-21-211-2-211-2-2111122-4-422-2-2-4222-1-122-1-1-1-14-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ694444-2-2444-2-24-2-2-2-24441-2-2114-2-21-2-21111-2-2-2-21111-2-2-2-244-2-2-2411-2-2-2-21111-2411-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-2444-2-24-2-2-2-244-41-2-211-4221-2-21111-2-2-2-21111-2-2-2-244222-4-1-12222-1-1-1-12-411-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ714444-2-24-4-4-2-24-2-2-2-24441-2-211-4-2-21-2-21111-2-2-2-211112222-4-422-2411-2-2-2-211112-4-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-4-2-24-2-2-2-244-41-2-2114221-2-21111-2-2-2-211112222-4-4-2-22-4-1-12222-1-1-1-1-24-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
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+3i32-2-2-2-2-2-22222-1-1-1-1-1-11+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+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-1-1-11−3i321+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+3i32222222-2-222-1-1-1-1-1-11+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+3i32−1−3i32222222-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ8144-4-444-24i−4i44-2-4-4-4-42204-2-2-2-20004-2-2-2-2-4-4222222224i−4i4i−4i−2i2i00000000000000004i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ8244-4-444-2−4i4i44-2-4-4-4-42204-2-2-2-20004-2-2-2-2-4-422222222−4i4i−4i4i2i−2i0000000000000000−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ8344-4-44-244i−4i4-24-4-422-4-40-24-2-2-2000-24-2-2-222-4-42222224i−4i−2i2i4i−4i0000000000000000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ8444-4-44-24−4i4i4-24-4-422-4-40-24-2-2-2000-24-2-2-222-4-4222222−4i4i2i−2i−4i4i00000000000000002i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ8544-4-44-2-24i−4i4-2-2-4-422220-2-2111000-2-21112222-1-1-1-1-1-14i−4i−2i2i−2i2i000000003-33-3-3300−2i2i−2i2ii−iii−i−i00003i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ8644-4-44-2-24i−4i4-2-2-4-422220-2-2111000-2-21112222-1-1-1-1-1-14i−4i−2i2i−2i2i00000000-33-333-300−2i2i−2i2ii−iii−i−i0000−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ8744-4-44-2-2−4i4i4-2-2-4-422220-2-2111000-2-21112222-1-1-1-1-1-1−4i4i2i−2i2i−2i000000003-33-3-33002i−2i2i−2i−ii−i−iii0000−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ8844-4-44-2-2−4i4i4-2-2-4-422220-2-2111000-2-21112222-1-1-1-1-1-1−4i4i2i−2i2i−2i00000000-33-333-3002i−2i2i−2i−ii−i−iii00003i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ8944-4-4-24-24i−4i-24-222-4-4220-21-2110−2i32i3-21-21122-1-122-1-1-1-1−2i2i4i−4i−2i2i23−2300−2i32i3i3−i300i3i3−i3−i300−2i2ii−i−2i2iii−i−i23−23−3300−3−333000000000000000000000000000000000000000000
χ9044-4-4-24-24i−4i-24-222-4-4220-21-21102i3−2i3-21-21122-1-122-1-1-1-1−2i2i4i−4i−2i2i−2323002i3−2i3−i3i300−i3−i3i3i300−2i2ii−i−2i2iii−i−i−23233−30033−3−3000000000000000000000000000000000000000000
χ9144-4-4-24-2−4i4i-24-222-4-4220-21-2110−2i32i3-21-21122-1-122-1-1-1-12i−2i−4i4i2i−2i−232300−2i32i3i3−i300i3i3−i3−i3002i−2i−ii2i−2i−i−iii−23233−30033−3−3000000000000000000000000000000000000000000
χ9244-4-4-24-2−4i4i-24-222-4-4220-21-21102i3−2i3-21-21122-1-122-1-1-1-12i−2i−4i4i2i−2i23−23002i3−2i3−i3i300−i3−i3i3i3002i−2i−ii2i−2i−i−iii23−23−3300−3−333000000000000000000000000000000000000000000
χ9344-4-4-2-244i−4i-2-242222-4-401-2-2110−2i32i31-2-211-1-12222-1-1-1-1−2i2i−2i2i4i−4i23−2300i3−i3−2i32i300i3i3−i3−i300i−i−2i2i−2i2iii−i−i−3323−2300−3−333000000000000000000000000000000000000000000
χ9444-4-4-2-244i−4i-2-242222-4-401-2-21102i3−2i31-2-211-1-12222-1-1-1-1−2i2i−2i2i4i−4i−232300−i3i32i3−2i300−i3−i3i3i300i−i−2i2i−2i2iii−i−i3−3−23230033−3−3000000000000000000000000000000000000000000
χ9544-4-4-2-24−4i4i-2-242222-4-401-2-2110−2i32i31-2-211-1-12222-1-1-1-12i−2i2i−2i−4i4i−232300i3−i3−2i32i300i3i3−i3−i300−ii2i−2i2i−2i−i−iii3−3−23230033−3−3000000000000000000000000000000000000000000
χ9644-4-4-2-24−4i4i-2-242222-4-401-2-21102i3−2i31-2-211-1-12222-1-1-1-12i−2i2i−2i−4i4i23−2300−i3i32i3−2i300−i3−i3i3i300−ii2i−2i2i−2i−i−iii−3323−2300−3−333000000000000000000000000000000000000000000
χ9744-4-4-2-2-24i−4i-2-2-22222220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2i2i−2i2i−2i2i23−2300i3−i3i3−i33-3−3−i323−i323+i32−3+i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ9844-4-4-2-2-24i−4i-2-2-22222220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2i2i−2i2i−2i2i−232300−i3i3−i3i3-333+i32−3+i32−3−i323−i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ9944-4-4-2-2-24i−4i-2-2-22222220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i−2i2i−2i2i23−2300i3−i3i3−i3-333−i32−3−i32−3+i323+i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ10044-4-4-2-2-24i−4i-2-2-22222220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i−2i2i−2i2i−232300−i3i3−i3i33-3−3+i323+i323−i32−3−i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ10144-4-4-2-2-2−4i4i-2-2-22222220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i2i−2i2i−2i−232300i3−i3i3−i33-3−3−i323−i323+i32−3+i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ10244-4-4-2-2-2−4i4i-2-2-22222220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i2i−2i2i−2i23−2300−i3i3−i3i3-333+i32−3+i32−3−i323−i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ10344-4-4-2-2-2−4i4i-2-2-22222220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i2i−2i2i−2i−232300i3−i3i3−i3-333−i32−3−i32−3+i323+i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ10444-4-4-2-2-2−4i4i-2-2-22222220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i2i−2i2i−2i23−2300−i3i3−i3i33-3−3+i323+i323−i32−3−i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1054-44-444-200-4-424-44-4-2204-2-2-2-2000-422224-4-22-22-2-2220000000000000000000000000000000000000000000000000000004-40000000000000000000000-220000
χ1064-44-444-200-4-424-44-4-2204-2-2-2-2000-422224-4-22-22-2-222000000000000000000000000000000000000000000000000000000-4400000000000000000000002-20000
χ1074-44-44-2400-42-44-4-224-40-24-2-2-20002-4222-224-4-22-2-22200000000000000000000000000000000000000000000000000004-40000000000000000000000-22000000
χ1084-44-44-2400-42-44-4-224-40-24-2-2-20002-4222-224-4-22-2-2220000000000000000000000000000000000000000000000000000-4400000000000000000000002-2000000
χ1094-44-4-244002-4-4-224-44-40-2-24-2-200022-422-22-224-4-2-2220000000000000000000000000000000000000000004-44-40000000000-22-22000000000000000000000000
χ1104-44-4-244002-4-4-224-44-40-2-24-2-200022-422-22-224-4-2-222000000000000000000000000000000000000000000-44-4400000000002-22-2000000000000000000000000
χ1114-4-4444-200-4-42-44-442-204-2-2-2-2000-42222-442-22-222-2-20000000000000000000000000000000000000000000000004-400000000000000000000-22000000000000
χ1124-4-4444-200-4-42-44-442-204-2-2-2-2000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000-44000000000000000000002-2000000000000
χ1134-4-444-2400-42-4-442-2-440-24-2-2-20002-42222-2-442-222-2-200000000000000000000000000000000000000000000004-400000000000000000000-2200000000000000
χ1144-4-444-2400-42-4-442-2-440-24-2-2-20002-42222-2-442-222-2-20000000000000000000000000000000000000000000000-44000000000000000000002-200000000000000
χ1154-4-44-244002-4-42-2-44-440-2-24-2-200022-4222-22-2-4422-2-20000000000000000000000000000000000000000004-4-440000000000-222-2000000000000000000000000
χ1164-4-44-244002-4-42-2-44-440-2-24-2-200022-4222-22-2-4422-2-2000000000000000000000000000000000000000000-444-400000000002-2-22000000000000000000000000
χ1178-88-88-4-400-8448-8-44-440-4-422200044-2-2-2-44-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-48-4004-84-448-8-440-42-4220004-24-2-2-442-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-480044-8-44-448-802-4-422000-244-2-22-2-44-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-400444-44-44-440222−1−3i3−1+3i3000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-400444-44-44-440222−1+3i3−1−3i3000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-4-400-844-884-44-40-4-422200044-2-2-24-44-4-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-48-4004-844-4-884-40-42-4220004-24-2-24-4-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-480044-84-44-4-8802-4-422000-244-2-2-224-44-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-4004444-44-44-40222−1−3i3−1+3i3000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4004444-44-44-40222−1+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.