Finite Group Databasebeta

← Group #13178284

Character table — Group #13178284

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order122233344666666666233333466666666666666666121212121212121266666666666612121212121212121212121212121212121212121212222222224444446666244444666666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111-11-11
χ5111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1
χ6111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-11-1111-1-111-1-11111-1-1-11-11
χ8111111111111111111-111111-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-11-1-1-11111-1-111-1-1111-11-1
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
χ101111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-111-111-1-1-1-11111-1-111-111-1
χ121111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11-1-111-1-1111111-1-11-1-11
χ131111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1
χ141111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111-11-1-111-1-1-1-1-1-1-1-1111111-1-111
χ151111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-11-11-1-1111-1-11111-1-1-1-1111-1-11
χ161111111-1-1111111111-1111111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1111111-1-111-1-1-111-1
χ17222222-122-12222-1-12222-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000220000-1-1-1-12200000000-1-1-1-1-1-100000000
χ18222222-122-12222-1-12222-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-200001111-2-20000000011111100000000
χ19222222-122-12222-1-122-22-1-1-1-1-2112-1-1-1-122-1-1-1-1-1-1-1-1-1-1112222-2-2-2-211111111-2-222-1-1-1-1-1-1-1-1-2-21111111122220000220000-1-1-1-1-2-20000000011-1-11100000000
χ20222222-122-12222-1-122-22-1-1-1-1-2112-1-1-1-122-1-1-1-1-1-1-1-1-1-1112222-2-2-2-211111111-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2-2-20000-2-2000011112200000000-1-111-1-100000000
χ21222222-1-2-2-12222-1-12222-1-1-1-1-2-1-12-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-21111111122220000-2-20000-1-1-1-12-200000000-1-1111100000000
χ22222222-1-2-2-12222-1-12222-1-1-1-1-2-1-12-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211111111-2-2-2-200002200001111-220000000011-1-1-1-100000000
χ23222222-1-2-2-12222-1-122-22-1-1-1-12112-1-1-1-122-1-1-1-1-1-1-1-111-1-1-2-2-2-2-2-2-2-21111111122-2-21111111122-1-1-1-1-1-1-1-122220000-2-20000-1-1-1-1-22000000001111-1-100000000
χ24222222-1-2-2-12222-1-122-22-1-1-1-12112-1-1-1-122-1-1-1-1-1-1-1-111-1-1-2-2-2-2-2-2-2-21111111122-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2000022000011112-200000000-1-1-1-11100000000
χ2522222-122222-12-1222-12-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1222222-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000022000022000000020200-1-100000000-1-10-10-1
χ2622222-122222-12-1222-12-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1222222-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000-2-20000-2-20000000-20-2001100000000110101
χ2722222-122222-12-1222-1-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-222-1-1-2111-2-2111111-21-1-122-1-1-1-1-1-111-2-2111111000000220000220000000-20-200-1-100000000-1-10101
χ2822222-122222-12-1222-1-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-222-1-1-2111-2-2111111-21-1-122-1-1-1-1-1-111-2-2111111000000-2-20000-2-20000000202001100000000110-10-1
χ2922222-12-2-222-12-1222-12-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2112-1-1-122-1-1-1-1-1-1-2111-2-211111111-2-2111111000000220000-2-20000000-20200-1-10000000011010-1
χ3022222-12-2-222-12-1222-12-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2112-1-1-122-1-1-1-1-1-1-2111-2-211111111-2-2111111000000-2-2000022000000020-2001100000000-1-10-101
χ3122222-12-2-222-12-1222-1-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-222-2-211-2111-2-21111112-111-2-2111111-1-122-1-1-1-1-1-1000000220000-2-2000000020-200-1-100000000110-101
χ3222222-12-2-222-12-1222-1-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-222-2-211-2111-2-21111112-111-2-2111111-1-122-1-1-1-1-1-1000000-2-20000220000000-202001100000000-1-1010-1
χ332222-122222-12-1222-122-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-12222-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000022000022000000002020-1-100000000-1-100-10-10
χ342222-122222-12-1222-122-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-1-12222-1-122-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20000-2-200000000-20-20110000000011001010
χ352222-122222-12-1222-12-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-2-1-1221-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-2111100002200002200000000-20-20-1-100000000-1-1001010
χ362222-122222-12-1222-12-2-1-12-1-1-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-2-1-1221-21111-2-211111-2-1-1-1-122-1-1-1-11111-2-211110000-2-20000-2-200000000202011000000001100-10-10
χ372222-122-2-22-12-1222-122-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-211110000220000-2-200000000-2020-1-100000000110010-10
χ382222-122-2-22-12-1222-122-1-12-1-1-222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-211-2-2-12-1-1-1-122-1-1-1-11-21111-2-211111111-2-211110000-2-20000220000000020-201100000000-1-100-1010
χ392222-122-2-22-12-1222-12-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-22211-2-21-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-10000220000-2-20000000020-20-1-1000000001100-1010
χ402222-122-2-22-12-1222-12-2-1-12-1-12-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-22211-2-21-21111-2-21111-121111-2-21111-1-1-1-122-1-1-1-10000-2-200002200000000-20201100000000-1-10010-10
χ4122-2-222200-222-2-22-2-2-2022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000022-2-20000002i−2i2i−2i22-2-200000000000000002i−2i2i−2i0000
χ4222-2-222200-222-2-22-2-2-2022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000022-2-2000000−2i2i−2i2i22-2-20000000000000000−2i2i−2i2i0000
χ4322-2-222200-222-2-22-2-2-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-2-2220000002i−2i−2i2i-2-22200000000000000002i−2i−2i2i0000
χ4422-2-222200-222-2-22-2-2-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-2-222000000−2i2i2i−2i-2-2220000000000000000−2i2i2i−2i0000
χ452-22-22222i−2i2-2-222-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i002i−2i2i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000002-22-200002i−2i00002-22-20000000000002i−2i0000000000
χ462-22-22222i−2i2-2-222-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i002i−2i2i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000-22-220000−2i2i0000-22-22000000000000−2i2i0000000000
χ472-22-2222−2i2i2-2-222-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i00−2i2i−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000002-22-20000−2i2i00002-22-2000000000000−2i2i0000000000
χ482-22-2222−2i2i2-2-222-2-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i00−2i2i−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000-22-2200002i−2i0000-22-220000000000002i−2i0000000000
χ492-22-222-12i−2i-1-2-22211-2-202-1-1-1-10−i3i32-1-1-1-1-2-211111111−ii3−32i−2i2i−2i0000−i3i3−i3i3−i3−i3i3i3002i−2i−ii−ii−i−iii003−33−333−3−32-22-200002i−2i0000-11-110000000000−i3i3−ii3−300000000
χ502-22-222-12i−2i-1-2-22211-2-202-1-1-1-10−i3i32-1-1-1-1-2-211111111−ii3−32i−2i2i−2i0000−i3i3−i3i3−i3−i3i3i3002i−2i−ii−ii−i−iii003−33−333−3−3-22-220000−2i2i00001-11-10000000000i3−i3i−i−3300000000
χ512-22-222-12i−2i-1-2-22211-2-202-1-1-1-10i3−i32-1-1-1-1-2-211111111−ii−332i−2i2i−2i0000i3−i3i3−i3i3i3−i3−i3002i−2i−ii−ii−i−iii00−33−33−3−3332-22-200002i−2i0000-11-110000000000i3−i3−ii−3300000000
χ522-22-222-12i−2i-1-2-22211-2-202-1-1-1-10i3−i32-1-1-1-1-2-211111111−ii−332i−2i2i−2i0000i3−i3i3−i3i3i3−i3−i3002i−2i−ii−ii−i−iii00−33−33−3−333-22-220000−2i2i00001-11-10000000000−i3i3i−i3−300000000
χ532-22-222-1−2i2i-1-2-22211-2-202-1-1-1-10−i3i32-1-1-1-1-2-211111111i−i−33−2i2i−2i2i0000−i3i3−i3i3−i3−i3i3i300−2i2ii−ii−iii−i−i00−33−33−3−3332-22-20000−2i2i0000-11-110000000000−i3i3i−i−3300000000
χ542-22-222-1−2i2i-1-2-22211-2-202-1-1-1-10−i3i32-1-1-1-1-2-211111111i−i−33−2i2i−2i2i0000−i3i3−i3i3−i3−i3i3i300−2i2ii−ii−iii−i−i00−33−33−3−333-22-2200002i−2i00001-11-10000000000i3−i3−ii3−300000000
χ552-22-222-1−2i2i-1-2-22211-2-202-1-1-1-10i3−i32-1-1-1-1-2-211111111i−i3−3−2i2i−2i2i0000i3−i3i3−i3i3i3−i3−i300−2i2ii−ii−iii−i−i003−33−333−3−32-22-20000−2i2i0000-11-110000000000i3−i3i−i3−300000000
χ562-22-222-1−2i2i-1-2-22211-2-202-1-1-1-10i3−i32-1-1-1-1-2-211111111i−i3−3−2i2i−2i2i0000i3−i3i3−i3i3i3−i3−i300−2i2ii−ii−iii−i−i003−33−333−3−3-22-2200002i−2i00001-11-10000000000−i3i3−ii−3300000000
χ572-2-2222200-2-2-2-2-2-2222022222000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000002-2-222-22-20000002-2-220000002-22-200000000000000
χ582-2-2222200-2-2-2-2-2-2222022222000-2-2-2-2-2-22-22-22-2-2220000000000000000000000000000000000000000002-2-22-22-220000002-2-22000000-22-2200000000000000
χ592-2-2222200-2-2-2-2-2-2222022222000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000000000-222-22-2-22000000-222-20000002-2-2200000000000000
χ602-2-2222200-2-2-2-2-2-2222022222000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000000000-222-2-222-2000000-222-2000000-222-200000000000000
χ6144444-2-244-24-24-2-2-24-24-2-21114-2-2-2-2111-2-2-2-2111111-2-2-2-244-2-24-2-2-2-2-21111114-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-24-24-2-2-24-2-4-2-2111-422-2-2111-2-2-2-2111111-2-22244-2-2-422222-1-1-1-1-1-1-42-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-24-24-2-2-24-24-2-2111-4-2-2-2-2111-2-2-2-21111112222-4-4224-2-2-2-2-2111111-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-24-24-2-2-24-2-4-2-2111422-2-2111-2-2-2-211111122-2-2-4-422-422222-1-1-1-1-1-14-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ654444-24-244-2-24-24-2-2-244-21-2114-2-2-21-211-2-211-2-21111-2-2-2-2-2-244-24-2-211-2-21111-24-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-24-24-2-2-24-4-21-211-422-21-211-2-211-2-21111-2-222-2-2442-422-1-122-1-1-1-12-4-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-24-24-2-2-244-21-211-4-2-2-21-211-2-211-2-21111222222-4-4-24-2-211-2-211112-422-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-24-24-2-2-24-4-21-211422-21-211-2-211-2-2111122-2-222-4-42-422-1-122-1-1-1-1-2422-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ694444-2-24444-2-2-2-244-2-241-2-2114441-2-21111-2-2-2-211114444-2-2-2-2-2-211-2-2-2-21111-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-24444-2-2-2-244-2-2-41-2-211-4-4-41-2-21111-2-2-2-2111144-4-4-2-2-2-222-1-12222-1-1-1-12211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ714444-2-24-4-44-2-2-2-244-2-241-2-211-4441-2-21111-2-2-2-21111-4-4-4-42222-2-211-2-2-2-2111122-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-44-2-2-2-244-2-2-41-2-2114-4-41-2-21111-2-2-2-21111-4-444222222-1-12222-1-1-1-1-2-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
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
χ8144-4-444-200244-4-4-22-4-404-2-2-2-2000-422224-4-22-22-2-22200000000000000000000000000000000000000000044-4-40000000000-2-222000000000000000000000000
χ8244-4-444-200244-4-4-22-4-404-2-2-2-2000-422224-4-22-22-2-222000000000000000000000000000000000000000000-4-444000000000022-2-2000000000000000000000000
χ8344-4-44-2400-44-2-424-4-420-24-2-2-20002-4222-224-4-22-2-2220000000000000000000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i0000
χ8444-4-44-2400-44-2-424-4-420-24-2-2-20002-4222-224-4-22-2-222000000000000000000000000000000000000000000000000000000−4i4i00000000000000000000002i−2i0000
χ8544-4-4-24400-4-242-44-42-40-2-24-2-200022-422-22-224-4-2-22200000000000000000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i000000
χ8644-4-4-24400-4-242-44-42-40-2-24-2-200022-422-22-224-4-2-2220000000000000000000000000000000000000000000000000000−4i4i00000000000000000000002i−2i000000
χ874-44-44-244i−4i4-424-2-4-4-420-24-2-2-2000-24-2-2-222-4-42222224i−4i004i−4i−2i2i00000000000000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ884-44-44-24−4i4i4-424-2-4-4-420-24-2-2-2000-24-2-2-222-4-4222222−4i4i00−4i4i2i−2i000000000000002i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ894-44-44-2-24i−4i-2-424-222-420-2-21110−2i32i3-2-21112222-1-1-1-1-1-1−2i2i23−234i−4i−2i2i0000−2i32i3i3−i3i3i3−i3−i300−2i2i−2i2ii−iii−i−i0023−23−33−3−333000000000000000000000000000000000000000000
χ904-44-44-2-24i−4i-2-424-222-420-2-211102i3−2i3-2-21112222-1-1-1-1-1-1−2i2i−23234i−4i−2i2i00002i3−2i3−i3i3−i3−i3i3i300−2i2i−2i2ii−iii−i−i00−23233−333−3−3000000000000000000000000000000000000000000
χ914-44-44-2-2−4i4i-2-424-222-420-2-21110−2i32i3-2-21112222-1-1-1-1-1-12i−2i−2323−4i4i2i−2i0000−2i32i3i3−i3i3i3−i3−i3002i−2i2i−2i−ii−i−iii00−23233−333−3−3000000000000000000000000000000000000000000
χ924-44-44-2-2−4i4i-2-424-222-420-2-211102i3−2i3-2-21112222-1-1-1-1-1-12i−2i23−23−4i4i2i−2i00002i3−2i3−i3i3−i3−i3i3i3002i−2i2i−2i−ii−i−iii0023−23−33−3−333000000000000000000000000000000000000000000
χ934-44-4-2444i−4i42-4-24-4-42-40-2-24-2-2000-2-24-2-22222-4-422224i−4i00−2i2i4i−4i00000000000000−2i2i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ944-44-4-244−4i4i42-4-24-4-42-40-2-24-2-2000-2-24-2-22222-4-42222−4i4i002i−2i−4i4i000000000000002i−2i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ954-44-4-24-24i−4i-22-4-24222-40-21-2110−2i32i3-21-21122-1-122-1-1-1-1−2i2i23−23−2i2i4i−4i0000i3−i3−2i32i3i3i3−i3−i300−2i2ii−i−2i2iii−i−i00−3323−23−3−333000000000000000000000000000000000000000000
χ964-44-4-24-24i−4i-22-4-24222-40-21-21102i3−2i3-21-21122-1-122-1-1-1-1−2i2i−2323−2i2i4i−4i0000−i3i32i3−2i3−i3−i3i3i300−2i2ii−i−2i2iii−i−i003−3−232333−3−3000000000000000000000000000000000000000000
χ974-44-4-24-2−4i4i-22-4-24222-40-21-2110−2i32i3-21-21122-1-122-1-1-1-12i−2i−23232i−2i−4i4i0000i3−i3−2i32i3i3i3−i3−i3002i−2i−ii2i−2i−i−iii003−3−232333−3−3000000000000000000000000000000000000000000
χ984-44-4-24-2−4i4i-22-4-24222-40-21-21102i3−2i3-21-21122-1-122-1-1-1-12i−2i23−232i−2i−4i4i0000−i3i32i3−2i3−i3−i3i3i3002i−2i−ii2i−2i−i−iii00−3323−23−3−333000000000000000000000000000000000000000000
χ994-44-4-2-244i−4i422-2-2-4-42201-2-2110001-2-211-1-12222-1-1-1-14i−4i00−2i2i−2i2i003-300003-3-3300i−i−2i2i−2i2iii−i−i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ1004-44-4-2-244i−4i422-2-2-4-42201-2-2110001-2-211-1-12222-1-1-1-14i−4i00−2i2i−2i2i00-330000-333-300i−i−2i2i−2i2iii−i−i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ1014-44-4-2-24−4i4i422-2-2-4-42201-2-2110001-2-211-1-12222-1-1-1-1−4i4i002i−2i2i−2i003-300003-3-3300−ii2i−2i2i−2i−i−iii−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ1024-44-4-2-24−4i4i422-2-2-4-42201-2-2110001-2-211-1-12222-1-1-1-1−4i4i002i−2i2i−2i00-330000-333-300−ii2i−2i2i−2i−i−iii3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ1034-44-4-2-2-24i−4i-222-2-222220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2i2i23−23−2i2i−2i2i003-3i3−i3i3−i3−3−i323−i323+i32−3+i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1044-44-4-2-2-24i−4i-222-2-222220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2i2i−2323−2i2i−2i2i00-33−i3i3−i3i33+i32−3+i32−3−i323−i3200i−ii−ii−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1054-44-4-2-2-24i−4i-222-2-222220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i23−23−2i2i−2i2i00-33i3−i3i3−i33−i32−3−i32−3+i323+i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1064-44-4-2-2-24i−4i-222-2-222220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i−2323−2i2i−2i2i003-3−i3i3−i3i3−3+i323+i323−i32−3−i3200i−ii−ii−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1074-44-4-2-2-2−4i4i-222-2-222220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i−23232i−2i2i−2i003-3i3−i3i3−i3−3−i323−i323+i32−3+i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1084-44-4-2-2-2−4i4i-222-2-222220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i23−232i−2i2i−2i00-33−i3i3−i3i33+i32−3+i32−3−i323−i3200−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1094-44-4-2-2-2−4i4i-222-2-222220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i−23232i−2i2i−2i00-33i3−i3i3−i33−i32−3−i32−3+i323+i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1104-44-4-2-2-2−4i4i-222-2-222220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i23−232i−2i2i−2i003-3−i3i3−i3i3−3+i323+i323−i32−3−i3200−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1114-4-4444-2002-4-4-4-42-24404-2-2-2-2000-42222-442-22-222-2-20000000000000000000000000000000000000000004-4-440000000000-222-2000000000000000000000000
χ1124-4-4444-2002-4-4-4-42-24404-2-2-2-2000-42222-442-22-222-2-2000000000000000000000000000000000000000000-444-400000000002-2-22000000000000000000000000
χ1134-4-444-2400-4-42-42-444-20-24-2-2-20002-42222-2-442-222-2-20000000000000000000000000000000000000000000000004-4000000000000000000-2200000000000000
χ1144-4-444-2400-4-42-42-444-20-24-2-2-20002-42222-2-442-222-2-2000000000000000000000000000000000000000000000000-440000000000000000002-200000000000000
χ1154-4-44-24400-42-42-4-44-240-2-24-2-200022-4222-22-2-4422-2-200000000000000000000000000000000000000000000004-4000000000000000000-220000000000000000
χ1164-4-44-24400-42-42-4-44-240-2-24-2-200022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000-440000000000000000002-20000000000000000
χ11788-8-88-4-40048-4-84-44-840-4-422200044-2-2-2-44-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-4004-484-8-444-80-42-4220004-24-2-2-442-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4800-8-4-4448-84402-4-422000-244-2-22-2-44-4422-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-4004-4-444-44440222−1−3i3−1+3i3000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-4004-4-444-44440222−1+3i3−1−3i3000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-4-4004-84-844-48-40-4-422200044-2-2-24-44-4-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-48-40044-84-84-4-480-42-4220004-24-2-24-4-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-4800-84444-88-4-402-4-422000-244-2-2-224-44-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-400444444-4-4-40222−1−3i3−1+3i3000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-400444444-4-4-40222−1+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.