Finite Group Databasebeta

← Group #13178211

Character table — Group #13178211

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122233344666666666233333466666666666666666121212121212121266666666666612121212121212121212121212121212121212121212444444444412121212222444466121212121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-111-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-111-11-11
χ5111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-11-1-1-11111-1-11111-1-1-11-11
χ6111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-1-11-11-1-111-1-11111-1-1111-11-1
χ7111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-11-1-1111-1-11111-1-11111-1-1-1-1
χ8111111111111111111-111111-1-1-11111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-111-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ91111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111
χ101111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-1-11-1-1-1-1-1-1-1-111111111-1-1
χ111111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-11-11111111-1-1-1-1-1-111-111-1
χ121111111-1-1111111111111111-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11-11-11111-1-111-1-111-1-11-1-11
χ131111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-1111-1-11
χ141111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1111-1-111-1-1-1-1111111-1-1-111-1
χ151111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ161111111-1-1111111111-1111111-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ17222222-12222-122-122-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-122222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000002200000020022000000-1-10000-1-10-10-1
χ18222222-12222-122-122-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-122222-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2000000-200-2-2000000110000110101
χ19222222-12222-122-122-1-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-122-1-1-2-222-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-2111111110000000022000000-200-22000000-1-10000-1-10101
χ20222222-12222-122-122-1-22-1-1-1-1-2-2-22-1-1-1-122-1-1-1-1-1-1-1-122-1-1-2-222-21-2-211111111-2122-1-1-1-1-1-1-1-1-2-21111111100000000-2-20000002002-2000000110000110-10-1
χ21222222-1-2-222-122-122-122-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-211-2-2-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-2111111110000000022000000-2002-2000000-1-1000011010-1
χ22222222-1-2-222-122-122-122-1-1-1-1-2222-1-1-1-122-1-1-1-1-1-1-1-1-2-211-2-2-2-22-122-1-1-1-1-1-1-1-1-21-2-211111111-2-21111111100000000-2-2000000200-22000000110000-1-10-101
χ23222222-1-2-222-122-122-1-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-21122-2-2-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-10000000022000000200-2-2000000-1-10000110-101
χ24222222-1-2-222-122-122-1-22-1-1-1-12-2-22-1-1-1-122-1-1-1-1-1-1-1-1-2-21122-2-2-21-2-2111111112-1-2-21111111122-1-1-1-1-1-1-1-100000000-2-2000000-20022000000110000-1-1010-1
χ2522222-12222-122-122-122-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1-1-1222222-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000002200000002022000000-1-10000-1-100-10-10
χ2622222-12222-122-122-122-12-1-1-1222-12-1-1-1-1-122-1-1-1-1-1-1-1-1222222-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000-2-20000000-20-2-200000011000011001010
χ2722222-12222-122-122-12-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2221-211-2-21111111-2-1-122-1-1-1-1-1-111-2-2111111000000220000000-202-2000000-1-10000-1-1001010
χ2822222-12222-122-122-12-2-12-1-1-1-2-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2221-211-2-21111111-2-1-122-1-1-1-1-1-111-2-2111111000000-2-2000000020-220000001100001100-10-10
χ2922222-12-2-22-122-122-122-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-2-2-2-2-12-1-122-1-1-1-1-1-11-211-2-211111111-2-2111111000000220000000-20-22000000-1-10000110010-10
χ3022222-12-2-22-122-122-122-12-1-1-1-222-12-1-1-1-1-122-1-1-1-1-1-111-2-2-2-2-2-2-12-1-122-1-1-1-1-1-11-211-2-211111111-2-2111111000000-2-20000000202-2000000110000-1-100-1010
χ3122222-12-2-22-122-122-12-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-222-2-21-211-2-2111111-1211-2-2111111-1-122-1-1-1-1-1-100000022000000020-2-2000000-1-100001100-1010
χ3222222-12-2-22-122-122-12-2-12-1-1-12-2-2-12-1-1-1-1-122-1-1-1-1-1-111-2-222-2-21-211-2-2111111-1211-2-2111111-1-122-1-1-1-1-1-1000000-2-20000000-2022000000110000-1-10010-10
χ332222-12222-122-122-1222-1-12-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222220000-1-1-1-12000000-1-1-1-10000-1-100000000
χ342222-12222-122-122-1222-1-12-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-200001111-2000000111100001100000000
χ352222-12222-122-122-122-2-1-12-1-1-211-1-12-1-1-1-1-1-122-1-1-1-1222211-1-1-2-21111-2-21111-2-2-1-1-1-122-1-1-1-11111-2-2111122-2-22200001111-200000011-1-10000-1-100000000
χ362222-12222-122-122-122-2-1-12-1-1-211-1-12-1-1-1-1-1-122-1-1-1-1222211-1-1-2-21111-2-21111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-222-2-20000-1-1-1-12000000-1-11100001100000000
χ372222-122-2-2-122-122-1222-1-12-1-1-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-211112222-2-20000-1-1-1-1-200000011110000-1-100000000
χ382222-122-2-2-122-122-1222-1-12-1-1-2-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-21111-2-2-2-222000011112000000-1-1-1-100001100000000
χ392222-122-2-2-122-122-122-2-1-12-1-1211-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-111-2-21111-2-21111221111-2-21111-1-1-1-122-1-1-1-122-2-2-2-2000011112000000-1-1110000-1-100000000
χ402222-122-2-2-122-122-122-2-1-12-1-1211-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-111-2-21111-2-21111221111-2-21111-1-1-1-122-1-1-1-1-2-222220000-1-1-1-1-200000011-1-100001100000000
χ4122-2-222200-222-2-2-22-2-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000002-2002i−2i2i−2i22-2-2000000000002i−2i2i−2i0000000000
χ4222-2-222200-222-2-2-22-2-2022222000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000002-200−2i2i−2i2i22-2-200000000000−2i2i−2i2i0000000000
χ4322-2-222200-222-2-2-22-2-2022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000000-22002i−2i−2i2i-2-222000000000002i−2i−2i2i0000000000
χ4422-2-222200-222-2-2-22-2-2022222000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000000000-2200−2i2i2i−2i-2-22200000000000−2i2i2i−2i0000000000
χ452-22-22222i−2i-2-2-2222-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i002i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i00000000002i−2i002-2000000000000000002-200002i−2i00000000
χ462-22-22222i−2i-2-2-2222-2-2-202222200022222-2-2-2-2-2-2-2-2-2-22i−2i2i−2i002i−2i000000000000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000−2i2i00-2200000000000000000-220000−2i2i00000000
χ472-22-2222−2i2i-2-2-2222-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i00−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i00000000002i−2i00-2200000000000000000-2200002i−2i00000000
χ482-22-2222−2i2i-2-2-2222-2-2-202222200022222-2-2-2-2-2-2-2-2-2-2−2i2i−2i2i00−2i2i00000000000000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000−2i2i002-2000000000000000002-20000−2i2i00000000
χ492-22-2-1222i−2i1-2-2-1221-2-20-1-12-1-10−i3i3-1-12-1-11111-2-211112i−2i2i−2i3−3−ii00−i3i3−i3i300−i3−i3i3i300−ii−ii2i−2i−i−iii3−33−30033−3−32i−2i002-200003−33−30000000−i3i3-110000−ii00000000
χ502-22-2-1222i−2i1-2-2-1221-2-20-1-12-1-10−i3i3-1-12-1-11111-2-211112i−2i2i−2i3−3−ii00−i3i3−i3i300−i3−i3i3i300−ii−ii2i−2i−i−iii3−33−30033−3−3−2i2i00-220000−33−330000000i3−i31-10000i−i00000000
χ512-22-2-1222i−2i1-2-2-1221-2-20-1-12-1-10i3−i3-1-12-1-11111-2-211112i−2i2i−2i−33−ii00i3−i3i3−i300i3i3−i3−i300−ii−ii2i−2i−i−iii−33−3300−3−3332i−2i002-20000−33−330000000i3−i3-110000−ii00000000
χ522-22-2-1222i−2i1-2-2-1221-2-20-1-12-1-10i3−i3-1-12-1-11111-2-211112i−2i2i−2i−33−ii00i3−i3i3−i300i3i3−i3−i300−ii−ii2i−2i−i−iii−33−3300−3−333−2i2i00-2200003−33−30000000−i3i31-10000i−i00000000
χ532-22-2-122−2i2i1-2-2-1221-2-20-1-12-1-10−i3i3-1-12-1-11111-2-21111−2i2i−2i2i−33i−i00−i3i3−i3i300−i3−i3i3i300i−ii−i−2i2iii−i−i−33−3300−3−3332i−2i00-2200003−33−30000000i3−i31-10000−ii00000000
χ542-22-2-122−2i2i1-2-2-1221-2-20-1-12-1-10−i3i3-1-12-1-11111-2-21111−2i2i−2i2i−33i−i00−i3i3−i3i300−i3−i3i3i300i−ii−i−2i2iii−i−i−33−3300−3−333−2i2i002-20000−33−330000000−i3i3-110000i−i00000000
χ552-22-2-122−2i2i1-2-2-1221-2-20-1-12-1-10i3−i3-1-12-1-11111-2-21111−2i2i−2i2i3−3i−i00i3−i3i3−i300i3i3−i3−i300i−ii−i−2i2iii−i−i3−33−30033−3−32i−2i00-220000−33−330000000−i3i31-10000−ii00000000
χ562-22-2-122−2i2i1-2-2-1221-2-20-1-12-1-10i3−i3-1-12-1-11111-2-21111−2i2i−2i2i3−3i−i00i3−i3i3−i300i3i3−i3−i300i−ii−i−2i2iii−i−i3−33−30033−3−3−2i2i002-200003−33−30000000i3−i3-110000i−i00000000
χ5744444-2-2444-2-24-2-24-2-24-2-2111444-2-2111-2-2-2-2111111-2-2-2-24444-2-2-2-2-2-2111111-2-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-2444-2-24-2-24-2-2-4-2-2111-4-4-4-2-2111-2-2-2-2111111-2-2-2-2-4-444222222-1-1-1-1-1-122-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-44-2-24-2-24-2-24-2-2111-444-2-2111-2-2-2-21111112222-4-4-4-4-2-2-2-2-2-2111111222222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-44-2-24-2-24-2-2-4-2-21114-4-4-2-2111-2-2-2-2111111222244-4-4222222-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-244-24-2-24-2-24-24-21-2114-2-2-21-211-2-211-2-2111144-2-2-2-2-2-24-2-2-211-2-211114-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-244-24-2-24-2-24-2-4-21-211-422-21-211-2-211-2-2111144-2-222-2-2-4222-1-122-1-1-1-1-42-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-4-24-2-24-2-24-24-21-211-4-2-2-21-211-2-211-2-21111-4-42222224-2-2-211-2-21111-4222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-4-24-2-24-2-24-2-4-21-211422-21-211-2-211-2-21111-4-422-2-222-4222-1-122-1-1-1-14-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-2-24-2-24-2-2441-2-2114-2-21-2-21111-2-2-2-21111-2-244-2-2-2-2-2411-2-2-2-21111-2411-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-2-24-2-24-2-24-41-2-211-4221-2-21111-2-2-2-21111-2-24422-2-22-4-1-12222-1-1-1-12-411-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-2-24-2-24-2-2441-2-211-4-2-21-2-21111-2-2-2-2111122-4-42222-2411-2-2-2-211112-4-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-2-24-2-24-2-24-41-2-2114221-2-21111-2-2-2-2111122-4-4-2-2222-4-1-12222-1-1-1-1-24-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-24111−1−3i32−1+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+3i32000000000000000000000000000000000000000
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χ7844-4-444-200-44-2-4-424-4204-2-2-2-2000-422224-4-22-22-2-22200000000000000000000000000000000000000000000000000−4i4i000000000000000002i−2i0000000000
χ7944-4-44-2400-4-24-42-442-40-24-2-2-20002-4222-224-4-22-2-2220000000000000000000000000000000000000000000000004i−4i00000000000000000−2i2i000000000000
χ8044-4-44-2400-4-24-42-442-40-24-2-2-20002-4222-224-4-22-2-222000000000000000000000000000000000000000000000000−4i4i000000000000000002i−2i000000000000
χ8144-4-4-244002442-4-4-2-4-40-2-24-2-200022-422-22-224-4-2-222000000000000000000000000000000000000000000004-4000000-2-2220000000000000000000000000
χ8244-4-4-244002442-4-4-2-4-40-2-24-2-200022-422-22-224-4-2-22200000000000000000000000000000000000000000000-4400000022-2-20000000000000000000000000
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χ844-44-444-2−4i4i-4-4244-2-4-4204-2-2-2-20004-2-2-2-2-4-422222222−4i4i2i−2i00−4i4i00000000000000−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000
χ854-44-44-244i−4i-42-44-24-42-40-24-2-2-2000-24-2-2-222-4-4222222−2i2i4i−4i004i−4i00000000000000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000
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χ914-44-4-24-24i−4i2-42-24-22-420-21-2110−2i32i3-21-21122-1-122-1-1-1-14i−4i−2i2i23−23−2i2i00−2i32i3i3−i300i3i3−i3−i300−2i2ii−i−2i2iii−i−i23−23−3300−3−333000000000000000000000000000000000000000
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χ934-44-4-24-2−4i4i2-42-24-22-420-21-2110−2i32i3-21-21122-1-122-1-1-1-1−4i4i2i−2i−23232i−2i00−2i32i3i3−i300i3i3−i3−i3002i−2i−ii2i−2i−i−iii−23233−30033−3−3000000000000000000000000000000000000000
χ944-44-4-24-2−4i4i2-42-24-22-420-21-21102i3−2i3-21-21122-1-122-1-1-1-1−4i4i2i−2i23−232i−2i002i3−2i3−i3i300−i3−i3i3i3002i−2i−ii2i−2i−i−iii23−23−3300−3−333000000000000000000000000000000000000000
χ954-44-4-2-244i−4i22-4-2-2422-401-2-2110−2i32i31-2-211-1-12222-1-1-1-1−2i2i4i−4i23−23−2i2i00i3−i3−2i32i300i3i3−i3−i300i−i−2i2i−2i2iii−i−i−3323−2300−3−333000000000000000000000000000000000000000
χ964-44-4-2-244i−4i22-4-2-2422-401-2-21102i3−2i31-2-211-1-12222-1-1-1-1−2i2i4i−4i−2323−2i2i00−i3i32i3−2i300−i3−i3i3i300i−i−2i2i−2i2iii−i−i3−3−23230033−3−3000000000000000000000000000000000000000
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χ984-44-4-2-24−4i4i22-4-2-2422-401-2-21102i3−2i31-2-211-1-12222-1-1-1-12i−2i−4i4i23−232i−2i00−i3i32i3−2i300−i3−i3i3i300−ii2i−2i2i−2i−i−iii−3323−2300−3−333000000000000000000000000000000000000000
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χ1014-44-4-2-2-24i−4i222-2-2-22220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i−2i2i23−23−2i2i00i3−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−ζ7−2ζ11000000000000000000000000000000000000000
χ1024-44-4-2-2-24i−4i222-2-2-22220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2i2i−2i2i−2323−2i2i00−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+2ζ11000000000000000000000000000000000000000
χ1034-44-4-2-2-2−4i4i222-2-2-22220111−1−3i32−1+3i320−2i32i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i2i−2i−23232i−2i00i3−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−ζ11000000000000000000000000000000000000000
χ1044-44-4-2-2-2−4i4i222-2-2-22220111−1−3i32−1+3i3202i3−2i3111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i322i−2i2i−2i23−232i−2i00−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+ζ11000000000000000000000000000000000000000
χ1054-44-4-2-2-2−4i4i222-2-2-22220111−1+3i32−1−3i320−2i32i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i2i−2i−23232i−2i00i3−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+2ζ11000000000000000000000000000000000000000
χ1064-44-4-2-2-2−4i4i222-2-2-22220111−1+3i32−1−3i3202i3−2i3111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i322i−2i2i−2i23−232i−2i00−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−ζ7−2ζ11000000000000000000000000000000000000000
χ1074-4-44444004-4-4-4-4-4-444044444000-4-4-4-4-4-44-44-44-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-4444-2004-42-4-42-44-204-2-2-2-2000-42222-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000−2i32i30000
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χ1114-4-444-240042-4-42-4-4-240-24-2-2-20002-42222-2-442-222-2-200000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3000000
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χ11488-8-88-4-400-8-4-4-8448440-4-422200044-2-2-2-44-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-8-4-4-4004-4-4444-4440222−1−3i3−1+3i3000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-4004-4-4444-4440222−1+3i3−1−3i3000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-4-400844-844-8-4-40-4-422200044-2-2-24-44-4-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-8-88-4-4800-44-844-84-4802-4-422000-244-2-2-224-44-4-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-400-4444444-4-40222−1−3i3−1+3i3000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-400-4444444-4-40222−1+3i3−1−3i3000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000

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