Finite Group Databasebeta

← Group #13178219

Character table — Group #13178219

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order1222223336666666663333344666666666666666666666121212126666666666121212121212121212121212121212121212121212121212444444444412121212244444412121212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1
χ511111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-11-11111-1-1-1-1-1-111111-11-1
χ611111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-11-1-111111-1-11111-1-1-1-1-11-11
χ711111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-11-1-1-1-11111111111-1-1-1-1
χ811111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ91111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-111-1-1-111-1
χ101111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1111-1-111-1-111-1-111-1-1111-1-11
χ111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ121111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-111-1-111-1-111-1-1-1-111-1-111
χ131111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-111
χ141111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111111-1-1-1111-1-1-1-111-1-1-1-11111-1-1
χ151111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11-1-111-11-1-1111111-1-111-1-11-1-11
χ161111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-111-111-1-1-11111-1-111-1-111-111-1
χ1722222222-12-1-12222-122-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000002200002000022000000-1-1-1-10000-10-10
χ1822222222-12-1-12222-122-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-20000-20000-2-2000000111100001010
χ1922222222-12-1-12222-122-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-111-2-2-2-211111111-2-21111111100000000220000-20000-22000000-1-1-1-100001010
χ2022222222-12-1-12222-122-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-111-2-2-2-211111111-2-21111111100000000-2-20000200002-200000011110000-10-10
χ212222222-122222-1-1-122-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222002200-1-1-1-10000200-1-1-1-1-1-1000000000000
χ222222222-122222-1-1-122-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200-2-20011110000-200111111000000000000
χ232222222-122222-1-1-122-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-11111-1-122-1-1-1-1-1-1-2-2-2-211-2-211111111-2-2111111222200-2-20011110000-200-1-1-1-111000000000000
χ242222222-122222-1-1-122-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-11111-1-122-1-1-1-1-1-1-2-2-2-211-2-211111111-2-2111111-2-2-2-2002200-1-1-1-100002001111-1-1000000000000
χ25222222-122-122-12222-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000220000000002220000000000000-1-1-1-10-10-1
χ26222222-122-122-12222-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2000000000-2-2-2000000000000011110101
χ27222222-122-122-12222-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2111111-2-211111111-2-21111000022000000000-22-20000000000000-1-1-1-10101
χ28222222-122-122-12222-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-2-2111111-2-211111111-2-211110000-2-20000000002-22000000000000011110-10-1
χ292222-2-222-12-1-12222-122-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211111111-112-222-1-1-1-1-1-1-1-1-2-2111111110000000022000020000-2-200000011-1-10000-1010
χ302222-2-222-12-1-12222-122-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-211111111-112-222-1-1-1-1-1-1-1-1-2-21111111100000000-2-20000-2000022000000-1-111000010-10
χ312222-2-222-12-1-12222-122-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2111111111-1-22-2-21111111122-1-1-1-1-1-1-1-100000000220000-200002-200000011-1-1000010-10
χ322222-2-222-12-1-12222-122-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-2111111111-1-22-2-21111111122-1-1-1-1-1-1-1-100000000-2-2000020000-22000000-1-1110000-1010
χ332222-2-22-122222-1-1-122-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-21111112-22-2-1-122-1-1-1-1-1-111-2-211111122-2-200-2-20011110000200-1-111-1-1000000000000
χ342222-2-22-122222-1-1-122-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-21111112-22-2-1-122-1-1-1-1-1-111-2-2111111-2-222002200-1-1-1-10000-20011-1-111000000000000
χ352222-2-22-122222-1-1-122-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-1-111-2-2111111-22-2211-2-2111111-1-122-1-1-1-1-1-122-2-2002200-1-1-1-10000-200-1-11111000000000000
χ362222-2-22-122222-1-1-122-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-1-111-2-2111111-22-2211-2-2111111-1-122-1-1-1-1-1-1-2-22200-2-2001111000020011-1-1-1-1000000000000
χ372222-2-2-122-122-12222-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211112-2-11-1-1-1-122-1-1-1-11111-2-211110000220000000002-2-20000000000000-1-1110-101
χ382222-2-2-122-122-12222-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-211112-2-11-1-1-1-122-1-1-1-11111-2-211110000-2-2000000000-222000000000000011-1-1010-1
χ392222-2-2-122-122-12222-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-221-11111-2-21111-1-1-1-122-1-1-1-1000022000000000-2-220000000000000-1-111010-1
χ402222-2-2-122-122-12222-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-21111-221-11111-2-21111-1-1-1-122-1-1-1-10000-2-200000000022-2000000000000011-1-10-101
χ412-22-200222-22-2-22-2-2-222222200000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-22i−2i2i−2i2i2i−2i−2i0000000000000002i−2i2-2000000
χ422-22-200222-22-2-22-2-2-222222200000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000002-2−2i2i−2i2i−2i−2i2i2i000000000000000−2i2i2-2000000
χ432-22-200222-22-2-22-2-2-222222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-222i−2i−2i2i2i2i−2i−2i000000000000000−2i2i-22000000
χ442-22-200222-22-2-22-2-2-222222200000000-2-2-2-2-22-22-22-222-2-2000000000000000000000000000000000000000000-22−2i2i2i−2i−2i−2i2i2i0000000000000002i−2i-22000000
χ452-2-222-22222-2-2-2-2-222-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-20000000000000000000000002i−2i2i−2i000000000000000002i−2i2i−2i00000000000000
χ462-2-222-22222-2-2-2-2-222-222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-2000000000000000000000000−2i2i−2i2i00000000000000000−2i2i−2i2i00000000000000
χ472-2-222-22-122-2-2-211-12-2-12-1-1-1002-2-112-2-12-1-1-111-2-21111113−33−3-112-2-11-1-11100003−3003−333−3−33−3003−333−3−32i−2i2i−2i000000−i3i3−i3i30000000−ii−ii−i3i3000000000000
χ482-2-222-22-122-2-2-211-12-2-12-1-1-1002-2-112-2-12-1-1-111-2-21111113−33−3-112-2-11-1-11100003−3003−333−3−33−3003−333−3−3−2i2i−2i2i000000i3−i3i3−i30000000i−ii−ii3−i3000000000000
χ492-2-222-22-122-2-2-211-12-2-12-1-1-1002-2-112-2-12-1-1-111-2-2111111−33−33-112-2-11-1-1110000−3300−33−3−333−3300−33−3−3332i−2i2i−2i000000i3−i3i3−i30000000−ii−iii3−i3000000000000
χ502-2-222-22-122-2-2-211-12-2-12-1-1-1002-2-112-2-12-1-1-111-2-2111111−33−33-112-2-11-1-1110000−3300−33−3−333−3300−33−3−333−2i2i−2i2i000000−i3i3−i3i30000000i−ii−i−i3i3000000000000
χ512-2-22-222222-2-2-2-2-222-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-2220000000000000000000000002i−2i−2i2i000000000000000002i−2i−2i2i00000000000000
χ522-2-22-222222-2-2-2-2-222-22222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-222000000000000000000000000−2i2i2i−2i00000000000000000−2i2i2i−2i00000000000000
χ532-2-22-222-122-2-2-211-12-2-12-1-1-100-221-1-22-12-1-1-111-2-21111113−3−331-1-221-111-1-100003−3003−333−3−3−3300−33−3−3332i−2i−2i2i000000i3−i3i3−i30000000−iii−i−i3i3000000000000
χ542-2-22-222-122-2-2-211-12-2-12-1-1-100-221-1-22-12-1-1-111-2-21111113−3−331-1-221-111-1-100003−3003−333−3−3−3300−33−3−333−2i2i2i−2i000000−i3i3−i3i30000000i−i−iii3−i3000000000000
χ552-2-22-222-122-2-2-211-12-2-12-1-1-100-221-1-22-12-1-1-111-2-2111111−333−31-1-221-111-1-10000−3300−33−3−3333−3003−333−3−32i−2i−2i2i000000−i3i3−i3i30000000−iii−ii3−i3000000000000
χ562-2-22-222-122-2-2-211-12-2-12-1-1-100-221-1-22-12-1-1-111-2-2111111−333−31-1-221-111-1-10000−3300−33−3−3333−3003−333−3−3−2i2i2i−2i000000i3−i3i3−i30000000i−i−ii−i3i3000000000000
χ574444444-2-24-2-24-2-2-2-24-2-21114444-2-2-2-2-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-2111111-2-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ584444444-2-24-2-24-2-2-2-24-2-2111-4-444-2-2-2-2-2-2111-2-2-2-21111112222-2-2-2-211111122-4-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ59444444-24-2-2-2-2-2444-2-2-21-21144-2-244-2-2-21-211-2-211-2-211114444-2-211-2-21111-2-2-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ60444444-24-2-2-2-2-2444-2-2-21-211-4-4-2-244-2-2-21-211-2-211-2-21111-4-4-4-4-2-211-2-21111222222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ61444444-2-24-244-2-2-2-24-21-2-21144-2-2-2-2441-2-21111-2-2-2-21111-2-2-2-211-2-2-2-2111144-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ62444444-2-24-244-2-2-2-24-21-2-211-4-4-2-2-2-2441-2-21111-2-2-2-21111222211-2-2-2-21111-4-422-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ63444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+3i32000000000000000000000000000000000000000
χ64444444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000
χ65444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+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+3i32−1−3i32000000000000000000000000000000000000000
χ66444444-2-2-2-2-2-2-2-2-2-2-2-2111−1+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+3i32000000000000000000000000000000000000000
χ674444-4-44-2-24-2-24-2-2-2-24-2-21114-4-4-42222-2-2111-2-2-2-2111111-2-2222222-1-1-1-1-1-1-224-4-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ684444-4-44-2-24-2-24-2-2-2-24-2-2111-44-4-42222-2-2111-2-2-2-211111122-2-22222-1-1-1-1-1-12-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ694444-4-4-24-2-2-2-2-2444-2-2-21-2114-422-4-422-21-211-2-211-2-2111144-4-422-1-122-1-1-1-1-22-22-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ704444-4-4-24-2-2-2-2-2444-2-2-21-211-4422-4-422-21-211-2-211-2-21111-4-44422-1-122-1-1-1-12-22-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ714444-4-4-2-24-244-2-2-2-24-21-2-2114-42222-4-41-2-21111-2-2-2-21111-2-222-1-12222-1-1-1-14-4-2211-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ724444-4-4-2-24-244-2-2-2-24-21-2-211-442222-4-41-2-21111-2-2-2-2111122-2-2-1-12222-1-1-1-1-442-2-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ734444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4222222111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-22-22111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ744444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44222222111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i322-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ754444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1+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+3i32-22-22111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ764444-4-4-2-2-2-2-2-2-2-2-2-2-2-2111−1+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+3i322-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-400444-4-444-44-4-4-44444400000000-4-4-4-4-4-44-44-44-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-40044-2-42-24-44-42-44-2-2-2-200000000-42222-442-22-222-2-20000000000000000000000000000000000000000000000000000000000000000023−230000000000
χ7944-4-40044-2-42-24-44-42-44-2-2-2-200000000-42222-442-22-222-2-200000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ8044-4-4004-24-4-4442-22-4-4-24-2-2-2000000002-42222-2-442-222-2-200000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ8144-4-4004-24-4-4442-22-4-4-24-2-2-2000000002-42222-2-442-222-2-2000000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ8244-4-400-2442-44-2-44-4-42-2-24-2-20000000022-4222-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000000000000023−230000
χ8344-4-400-2442-44-2-44-4-42-2-24-2-20000000022-4222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000−23230000
χ844-44-40044-2-4-22-44-4-4244-2-2-2-200000000-422224-4-22-22-2-22200000000000000000000000000000000000000000000004i−4i0000000000000000000−2i2i00000000
χ854-44-40044-2-4-22-44-4-4244-2-2-2-200000000-422224-4-22-22-2-2220000000000000000000000000000000000000000000000−4i4i00000000000000000002i−2i00000000
χ864-44-4004-24-44-4-4-222-44-24-2-2-2000000002-4222-224-4-22-2-222000000000000000000000000000000000000000000004i−4i00−2i−2i2i2i0000000000000000000000000
χ874-44-4004-24-44-4-4-222-44-24-2-2-2000000002-4222-224-4-22-2-22200000000000000000000000000000000000000000000−4i4i002i2i−2i−2i0000000000000000000000000
χ884-44-400-24424-424-4-4-4-2-2-24-2-20000000022-422-22-224-4-2-2220000000000000000000000000000000000000000004-40000000000000000000000000-22000000
χ894-44-400-24424-424-4-4-4-2-2-24-2-20000000022-422-22-224-4-2-222000000000000000000000000000000000000000000-4400000000000000000000000002-2000000
χ904-4-444-444-2422-4-4-44-2-44-2-2-2-2004-44-4-224-2-2-2-2-4-42222222200004-4-22-22-2-222000000000000000000000000000000000000000000000000000000000000000
χ914-4-444-44-2-2422-422-2-2-4-2-2111004-4-22-22-2-21112222-1-1-1-1-1-123−2323−23-22-221-111-1-1000023−2300−33−3−33323−2300−33−3−333000000000000000000000000000000000000000
χ924-4-444-44-2-2422-422-2-2-4-2-2111004-4-22-22-2-21112222-1-1-1-1-1-1−2323−2323-22-221-111-1-10000−2323003−333−3−3−2323003−333−3−3000000000000000000000000000000000000000
χ934-4-444-4-244-2-4-42-4-4442-2-24-2-200-224-44-4-2-24-2-22222-4-422220000-22-224-4-2-222000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-24-2-2222-4-44-22-21-21100-224-4-22-21-21122-1-122-1-1-1-10000-221-1-2211-1-10000003i−3i003i−3i−3i3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000
χ954-4-444-4-24-2-2222-4-44-22-21-21100-224-4-22-21-21122-1-122-1-1-1-10000-221-1-2211-1-1000000−3i3i00−3i3i3i−3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000
χ964-4-444-4-2-24-2-4-4222-2421-2-21100-22-224-41-2-211-1-12222-1-1-1-123−2323−231-1-22-2211-1-10000−330023−23−3−333−330023−23−3−333000000000000000000000000000000000000000
χ974-4-444-4-2-24-2-4-4222-2421-2-21100-22-224-41-2-211-1-12222-1-1-1-1−2323−23231-1-22-2211-1-100003−300−232333−3−33−300−232333−3−3000000000000000000000000000000000000000
χ984-4-444-4-2-2-2-222222-2-22111−1−3i32−1+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+3i321−3i320000−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ994-4-444-4-2-2-2-222222-2-22111−1−3i32−1+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+3i321−3i3200003−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1004-4-444-4-2-2-2-222222-2-22111−1+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+3i320000−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ1014-4-444-4-2-2-2-222222-2-22111−1+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+3i3200003−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1024-4-44-4444-2422-4-4-44-2-44-2-2-2-200-44-442-24-2-2-2-2-4-4222222220000-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-2-2422-422-2-2-4-2-211100-442-22-2-2-21112222-1-1-1-1-1-123−23−23232-22-2-11-1-111000023−2300−33−3−333−2323003−333−3−3000000000000000000000000000000000000000
χ1044-4-44-444-2-2422-422-2-2-4-2-211100-442-22-2-2-21112222-1-1-1-1-1-1−232323−232-22-2-11-1-1110000−2323003−333−3−323−2300−33−3−333000000000000000000000000000000000000000
χ1054-4-44-44-244-2-4-42-4-4442-2-24-2-2002-2-44-44-2-24-2-22222-4-4222200002-22-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-44-24-2-2222-4-44-22-21-211002-2-442-2-21-21122-1-122-1-1-1-100002-2-112-2-1-1110000003i−3i003i−3i−3i3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000
χ1074-4-44-44-24-2-2222-4-44-22-21-211002-2-442-2-21-21122-1-122-1-1-1-100002-2-112-2-1-111000000−3i3i00−3i3i3i−3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000
χ1084-4-44-44-2-24-2-4-4222-2421-2-211002-22-2-441-2-211-1-12222-1-1-1-123−23−2323-112-22-2-1-1110000−330023−23−3−3333−300−232333−3−3000000000000000000000000000000000000000
χ1094-4-44-44-2-24-2-4-4222-2421-2-211002-22-2-441-2-211-1-12222-1-1-1-1−232323−23-112-22-2-1-11100003−300−232333−3−3−330023−23−3−333000000000000000000000000000000000000000
χ1104-4-44-44-2-2-2-222222-2-22111−1−3i32−1+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+3i320000−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ113−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000
χ1114-4-44-44-2-2-2-222222-2-22111−1−3i32−1+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+3i3200003−3−3i3i3−3−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−333i−3i−33ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000
χ1124-4-44-44-2-2-2-222222-2-22111−1+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+3i32−1−3i320000−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ113−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000
χ1134-4-44-44-2-2-2-222222-2-22111−1+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+3i32−1−3i3200003−33i−3i3−32ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−33−3i3i−33−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000
χ11488-8-8008-4-4-84-484-444-8-4-42220000000044-2-2-24-44-4-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-48-444-4-4-88-844-42-422000000004-24-2-24-4-224-4-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-800-4-484-88-44-44-842-4-42200000000-244-2-2-224-44-4-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-800-4-4-444-4-44-4444222−1−3i3−1+3i300000000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800-4-4-444-4-44-4444222−1+3i3−1−3i300000000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8008-4-4-8-44-8-44448-4-42220000000044-2-2-2-44-442-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-48-44-4448-8-84-4-42-422000000004-24-2-2-442-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-800-4-4848-84-444-8-42-4-42200000000-244-2-22-2-44-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-800-4-4-44-444-4444-4222−1−3i3−1+3i300000000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-800-4-4-44-444-4444-4222−1+3i3−1−3i300000000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000

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