Finite Group Databasebeta

← Group #13178215

Character table — Group #13178215

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12222233366666666633333446666666666666666666661212121266666666661212121212121212121212121212121212121212121212124444444444444412121212224444661212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-11-1-1-1-1-1-11111-1-1-1-11-11-1
χ511111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ611111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-11-1-1-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-11-1
χ811111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1111-11111-1-11111-1-1-1-1-11-11
χ91111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-111-11-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1111-1-111-1-1-1-111-1-111-1-111
χ111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-11-1-1111-1-111-1-11111-1-1-111-1
χ121111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-1111-1-11
χ131111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-111111-1-11-1111-1-1-1-111-1-111-1-1-1-111
χ141111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1
χ151111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11-111-1-1-11111-1-11111-1-11-1-11
χ161111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-111-111-1
χ1722222222-1222-1-12-1222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222200000000-1-1-1-1200020-1-1-1-1-1-1000000000000
χ1822222222-1222-1-12-1222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111-2000-20111111000000000000
χ1922222222-1222-1-12-1222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1111122-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-21111111122222200000000-1-1-1-1-2000-201111-1-1000000000000
χ2022222222-1222-1-12-1222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1111122-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-211111111-2-2-2-2-2-2000000001111200020-1-1-1-111000000000000
χ212222222-122-1-12222-12-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000022220000020002000000-1-1-1-10000-10-10
χ222222222-122-1-12222-12-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-2-2-200000-2000-2000000111100001010
χ232222222-122-1-12222-12-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-111-2-211-2-211111111-2-21111110000000000222200000-2000-2000000-1-1-1-100001010
χ242222222-122-1-12222-12-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-111-2-211-2-211111111-2-21111110000000000-2-2-2-2000002000200000011110000-10-10
χ25222222-122-12222-122-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000002222000000000022000000000000-1-1-1-10-10-1
χ26222222-122-12222-122-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2-2-20000000000-2-200000000000011110101
χ27222222-122-12222-122-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2111111-2-211111111-2-2111100000022220000000000-2-2000000000000-1-1-1-10101
χ28222222-122-12222-122-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2111111-2-211111111-2-21111000000-2-2-2-200000000002200000000000011110-10-1
χ292222-2-222-1222-1-12-1222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-1-111-2-2111111112-2-2222-1-1-1-1-1-1-1-1-2-2111111112222-2-200000000-1-1-1-1-20002011-1-111000000000000
χ302222-2-222-1222-1-12-1222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-1-111-2-2111111112-2-2222-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2220000000011112000-20-1-111-1-1000000000000
χ312222-2-222-1222-1-12-1222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-111-1-1-2-211111111-222-2-2-21111111122-1-1-1-1-1-1-1-12222-2-200000000-1-1-1-12000-20-1-11111000000000000
χ322222-2-222-1222-1-12-1222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-111-1-1-2-211111111-222-2-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-222000000001111-20002011-1-1-1-1000000000000
χ332222-2-22-122-1-12222-12-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2111111-11-22-1-122-1-1-1-1-1-111-2-2111111000000000022-2-2000002000-2000000-1-1110000-1010
χ342222-2-22-122-1-12222-12-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-122-2-211-2-2111111-11-22-1-122-1-1-1-1-1-111-2-21111110000000000-2-22200000-2000200000011-1-1000010-10
χ352222-2-22-122-1-12222-12-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-22211-2-21111111-12-211-2-2111111-1-122-1-1-1-1-1-1000000000022-2-200000-20002000000-1-111000010-10
χ362222-2-22-122-1-12222-12-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-2-22211-2-21111111-12-211-2-2111111-1-122-1-1-1-1-1-10000000000-2-222000002000-200000011-1-10000-1010
χ372222-2-2-122-12222-122-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211112-21-1-1-1-1-122-1-1-1-11111-2-2111100000022-2-200000000002-2000000000000-1-1110-101
χ382222-2-2-122-12222-122-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211112-21-1-1-1-1-122-1-1-1-11111-2-21111000000-2-2220000000000-2200000000000011-1-1010-1
χ392222-2-2-122-12222-122-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-22-111111-2-21111-1-1-1-122-1-1-1-100000022-2-20000000000-22000000000000-1-111010-1
χ402222-2-2-122-12222-122-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-22-111111-2-21111-1-1-1-122-1-1-1-1000000-2-22200000000002-200000000000011-1-10-101
χ4122-2-200222-22-22-2-2-2-222222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000002i2i−2i−2i00002-2002i−2i2i2i−2i−2i000000000000002i−2i002-20000
χ4222-2-200222-22-22-2-2-2-222222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000002i2i−2i−2i0000-2200−2i2i2i2i−2i−2i00000000000000−2i2i00-220000
χ4322-2-200222-22-22-2-2-2-222222200000000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000−2i−2i2i2i00002-200−2i2i−2i−2i2i2i00000000000000−2i2i002-20000
χ4422-2-200222-22-22-2-2-2-222222200000000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000−2i−2i2i2i0000-22002i−2i−2i−2i2i2i000000000000002i−2i00-220000
χ452-22-200222-2-22-2-222-2-22222200000000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000002-22-2002i−2i002i−2i002-22-20000000000002i−2i002i−2i000000
χ462-22-200222-2-22-2-222-2-22222200000000-2-2-2-2-2-22-22-22-2-222000000000000000000000000000000000000002-22-200−2i2i00−2i2i002-22-2000000000000−2i2i00−2i2i000000
χ472-22-200222-2-22-2-222-2-22222200000000-2-2-2-2-2-22-22-22-2-22200000000000000000000000000000000000000-22-22002i−2i00−2i2i00-22-22000000000000−2i2i002i−2i000000
χ482-22-200222-2-22-2-222-2-22222200000000-2-2-2-2-2-22-22-22-2-22200000000000000000000000000000000000000-22-2200−2i2i002i−2i00-22-220000000000002i−2i00−2i2i000000
χ492-2-222-22222-2-2-22-2-22-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-20000000000000000000000002i−2i−2i2i2i−2i000000002i−2i−2i2i00000000002i−2i000000000000
χ502-2-222-22222-2-2-22-2-22-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-2000000000000000000000000−2i2i2i−2i−2i2i00000000−2i2i2i−2i0000000000−2i2i000000000000
χ512-2-222-222-12-2-21-1-212-22-1-1-1-1002-22-2-112-1-1-1-1-2-2111111113−33−32-2-11-11-1-1110000003−33−333−3−3003−33−333−3−32i−2i−2i2i2i−2i00000000−iii−i000000−i3i3−i3i3−ii000000000000
χ522-2-222-222-12-2-21-1-212-22-1-1-1-1002-22-2-112-1-1-1-1-2-2111111113−33−32-2-11-11-1-1110000003−33−333−3−3003−33−333−3−3−2i2i2i−2i−2i2i00000000i−i−ii000000i3−i3i3−i3i−i000000000000
χ532-2-222-222-12-2-21-1-212-22-1-1-1-1002-22-2-112-1-1-1-1-2-211111111−33−332-2-11-11-1-111000000−33−33−3−33300−33−33−3−3332i−2i−2i2i2i−2i00000000−iii−i000000i3−i3i3−i3−ii000000000000
χ542-2-222-222-12-2-21-1-212-22-1-1-1-1002-22-2-112-1-1-1-1-2-211111111−33−332-2-11-11-1-111000000−33−33−3−33300−33−33−3−333−2i2i2i−2i−2i2i00000000i−i−ii000000−i3i3−i3i3i−i000000000000
χ552-2-22-222222-2-2-22-2-22-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-2220000000000000000000000002i−2i−2i2i−2i2i000000002i−2i−2i2i0000000000−2i2i000000000000
χ562-2-22-222222-2-2-22-2-22-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-222000000000000000000000000−2i2i2i−2i2i−2i00000000−2i2i2i−2i00000000002i−2i000000000000
χ572-2-22-2222-12-2-21-1-212-22-1-1-1-100-22-221-12-1-1-1-1-2-2111111113−3−33-221-11-111-1-10000003−33−333−3−300−33−33−3−3332i−2i−2i2i−2i2i00000000−iii−i000000i3−i3−i3i3i−i000000000000
χ582-2-22-2222-12-2-21-1-212-22-1-1-1-100-22-221-12-1-1-1-1-2-2111111113−3−33-221-11-111-1-10000003−33−333−3−300−33−33−3−333−2i2i2i−2i2i−2i00000000i−i−ii000000−i3i3i3−i3−ii000000000000
χ592-2-22-2222-12-2-21-1-212-22-1-1-1-100-22-221-12-1-1-1-1-2-211111111−333−3-221-11-111-1-1000000−33−33−3−333003−33−333−3−32i−2i−2i2i−2i2i00000000−iii−i000000−i3i3i3−i3i−i000000000000
χ602-2-22-2222-12-2-21-1-212-22-1-1-1-100-22-221-12-1-1-1-1-2-211111111−333−3-221-11-111-1-1000000−33−33−3−333003−33−333−3−3−2i2i2i−2i2i−2i00000000i−i−ii000000i3−i3−i3i3−ii000000000000
χ614444444-2-24-2-2-2-24-2-24-2-21114444-2-2-2-2-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2111111-2-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ624444444-2-24-2-2-2-24-2-24-2-2111-4-444-2-2-2-2-2-2111-2-2-2-21111112222-2-2-2-211111122-4-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ63444444-24-2-244-2-2-2-24-2-21-21144-2-244-2-2-21-211-2-211-2-21111-2-2-2-2-2-211-2-2111144-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ64444444-24-2-244-2-2-2-24-2-21-211-4-4-2-244-2-2-21-211-2-211-2-211112222-2-211-2-21111-4-42222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ65444444-2-24-2-2-244-24-2-21-2-21144-2-2-2-2441-2-21111-2-2-2-21111444411-2-2-2-21111-2-2-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ66444444-2-24-2-2-244-24-2-21-2-211-4-4-2-2-2-2441-2-21111-2-2-2-21111-4-4-4-411-2-2-2-211112222-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ67444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ68444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i322222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ69444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ70444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i322222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ714444-4-44-2-24-2-2-2-24-2-24-2-21114-4-4-42222-2-2111-2-2-2-2111111-2-2222222-1-1-1-1-1-1-22-44-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ724444-4-44-2-24-2-2-2-24-2-24-2-2111-44-4-42222-2-2111-2-2-2-211111122-2-22222-1-1-1-1-1-12-24-42222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ734444-4-4-24-2-244-2-2-2-24-2-21-2114-422-4-422-21-211-2-211-2-21111-2-22222-1-122-1-1-1-14-42-2-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ744444-4-4-24-2-244-2-2-2-24-2-21-211-4422-4-422-21-211-2-211-2-2111122-2-222-1-122-1-1-1-1-44-2222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ754444-4-4-2-24-2-2-244-24-2-21-2-2114-42222-4-41-2-21111-2-2-2-2111144-4-4-1-12222-1-1-1-1-222-211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ764444-4-4-2-24-2-2-244-24-2-21-2-211-442222-4-41-2-21111-2-2-2-21111-4-444-1-12222-1-1-1-12-2-22-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
χ774444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4222222111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-222-2111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ784444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44222222111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i322-2-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ794444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4222222111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-222-2111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ804444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44222222111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i322-2-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ8144-4-40044-2-44-4-22-42-444-2-2-2-200000000-422224-4-22-22-2-222000000000000000000000000000000000000004i4i−4i−4i0000000000−2i−2i2i2i000000000000000000000000
χ8244-4-40044-2-44-4-22-42-444-2-2-2-200000000-422224-4-22-22-2-22200000000000000000000000000000000000000−4i−4i4i4i00000000002i2i−2i−2i000000000000000000000000
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χ944-4-444-44-2-24222-2-42-2-4-2-2111004-4-22-22-2-21112222-1-1-1-1-1-123−2323−23-22-221-111-1-100000023−23−33−3−3330023−23−33−3−333000000000000000000000000000000000000000000
χ954-4-444-44-2-24222-2-42-2-4-2-2111004-4-22-22-2-21112222-1-1-1-1-1-1−2323−2323-22-221-111-1-1000000−23233−333−3−300−23233−333−3−3000000000000000000000000000000000000000000
χ964-4-444-4-244-2-4-4-442-442-2-24-2-200-224-44-4-2-24-2-22222-4-422220000-22-224-4-2-222000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-24-2-2-4-42-22242-21-21100-224-4-22-21-21122-1-122-1-1-1-123−2323−23-221-1-2211-1-1000000−3323−23−3−33300−3323−23−3−333000000000000000000000000000000000000000000
χ984-4-444-4-24-2-2-4-42-22242-21-21100-224-4-22-21-21122-1-122-1-1-1-1−2323−2323-221-1-2211-1-10000003−3−232333−3−3003−3−232333−3−3000000000000000000000000000000000000000000
χ994-4-444-4-2-24-222-442-4-221-2-21100-22-224-41-2-211-1-12222-1-1-1-100001-1-22-2211-1-100003i−3i00003i−3i−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ1004-4-444-4-2-24-222-442-4-221-2-21100-22-224-41-2-211-1-12222-1-1-1-100001-1-22-2211-1-10000−3i3i0000−3i3i3i−3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ1014-4-444-4-2-2-2-2222-222-22111−1−3i32−1+3i3200-22-22-22111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−2323−231-11-11-1−1−3i32−1+3i321+3i321−3i3200003i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1024-4-444-4-2-2-2-2222-222-22111−1−3i32−1+3i3200-22-22-22111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−2323−23231-11-11-1−1−3i32−1+3i321+3i321−3i320000−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1034-4-444-4-2-2-2-2222-222-22111−1+3i32−1−3i3200-22-22-22111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−2323−231-11-11-1−1+3i32−1−3i321−3i321+3i320000−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1044-4-444-4-2-2-2-2222-222-22111−1+3i32−1−3i3200-22-22-22111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−2323−23231-11-11-1−1+3i32−1−3i321−3i321+3i3200003i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1054-4-44-444-24422-44-4-4-2-4-24-2-2-200-442-2-44-24-2-2-222-4-422222200002-2-442-222-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-444-2-24222-2-42-2-4-2-211100-442-22-2-2-21112222-1-1-1-1-1-123−23−23232-22-2-11-1-11100000023−23−33−3−33300−23233−333−3−3000000000000000000000000000000000000000000
χ1074-4-44-444-2-24222-2-42-2-4-2-211100-442-22-2-2-21112222-1-1-1-1-1-1−232323−232-22-2-11-1-111000000−23233−333−3−30023−23−33−3−333000000000000000000000000000000000000000000
χ1084-4-44-44-244-2-4-4-442-442-2-24-2-2002-2-44-44-2-24-2-22222-4-4222200002-22-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-44-44-24-2-2-4-42-22242-21-211002-2-442-2-21-21122-1-122-1-1-1-123−23−23232-2-112-2-1-111000000−3323−23−3−333003−3−232333−3−3000000000000000000000000000000000000000000
χ1104-4-44-44-24-2-2-4-42-22242-21-211002-2-442-2-21-21122-1-122-1-1-1-1−232323−232-2-112-2-1-1110000003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000000
χ1114-4-44-44-2-24-222-442-4-221-2-211002-22-2-441-2-211-1-12222-1-1-1-10000-112-22-2-1-11100003i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ1124-4-44-44-2-24-222-442-4-221-2-211002-22-2-441-2-211-1-12222-1-1-1-10000-112-22-2-1-1110000−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ1134-4-44-44-2-2-2-2222-222-22111−1−3i32−1+3i32002-22-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3223−23−2323-11-11-111+3i321−3i32−1−3i32−1+3i3200003i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1144-4-44-44-2-2-2-2222-222-22111−1−3i32−1+3i32002-22-22-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32−232323−23-11-11-111+3i321−3i32−1−3i32−1+3i320000−3i3i3−33−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113i−3i−33−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1154-4-44-44-2-2-2-2222-222-22111−1+3i32−1−3i32002-22-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3223−23−2323-11-11-111−3i321+3i32−1+3i32−1−3i320000−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1164-4-44-44-2-2-2-2222-222-22111−1+3i32−1−3i32002-22-22-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32−232323−23-11-11-111−3i321+3i32−1+3i32−1−3i3200003i−3i3−33−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−3i3i−33−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ11788-8-8008-4-4-8-44-44-8448-4-42220000000044-2-2-2-44-442-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12088-8-800-4-4-44-44-44444-4222−1−3i3−1+3i300000000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-800-4-4-44-44-44444-4222−1+3i3−1−3i300000000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8008-4-4-84-4448-44-8-4-42220000000044-2-2-24-44-4-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-800-48-44-8844-4-4-84-42-422000000004-24-2-24-4-224-4-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-88-800-4-4-444-444-4-444222−1−3i3−1+3i300000000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-800-4-4-444-444-4-444222−1+3i3−1−3i300000000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000

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