Finite Group Databasebeta

← Group #13178289

Character table — Group #13178289

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122222333666666666333334466666666666666666666612121212666666666612121212121212121212121212121212121212121212121222224444441212121222244446666661212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-1-11-111111111-1-1-1-1-1-11-1-11
χ611111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11-1111-1-1-1-111-1-11111-111-1
χ711111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-11-1-11111-1-1111111-1-1-1-1
χ811111111111111111111111-1-1111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111111-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ91111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-11111-1-111-1-1
χ101111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1111-111-1-111-1-111-1-111-1-111
χ111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-11-1-1-111-1-111-1-1-1-111-11-11
χ121111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-11-11-1-1-1-11111-1-111-1-11-11-1
χ131111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-11-11-1-11111-1-1-1-1-1-1-1-1111-11-1
χ141111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-11111-1-111-1-1-1-111-1-1-11-11
χ151111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111
χ161111-1-111111111111111111-11-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111111-1-11111-1-1
χ1722222222-1222-1-12-1222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100220000000000220020000-1-1-1-1000000000-1-10
χ1822222222-1222-1-12-1222-1-1-1-1222222-1-12-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-20000000000-2-200-200001111000000000110
χ1922222222-1222-1-12-1222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-21-21-2-211111111-2-211111111002200000000002-200-20000-1-1-1-1000000000110
χ2022222222-1222-1-12-1222-1-1-1-1-2-22222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-21-21-2-211111111-2-21111111100-2-20000000000-2200200001111000000000-1-10
χ212222222-1222-122-12-12-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200222200-1-1-1-10002000-1-10000-1-1-1-100000000
χ222222222-1222-122-12-12-12-1-1-12222-1-122-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-2-2-2001111000-2000110000111100000000
χ232222222-1222-122-12-12-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-11111-1-122-1-1-1-1-1-1-2-2-2-211-2-211111111-2-21111112200-2-222001111000-2000-1-10000-1-11100000000
χ242222222-1222-122-12-12-12-1-1-1-2-222-1-122-12-1-1-1-1-122-1-1-1-1-1-11111-1-122-1-1-1-1-1-1-2-2-2-211-2-211111111-2-2111111-2-20022-2-200-1-1-1-1000200011000011-1-100000000
χ25222222-122-1-1222222-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000022000000200220000000000-1-1-1-1-100-1
χ26222222-122-1-1222222-1-1-12-1-122-1-12222-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2000000-200-2-2000000000011111001
χ27222222-122-1-1222222-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-11-21-21111-2-211111111-2-211110000000022000000-200-220000000000-1-1-1-11001
χ28222222-122-1-1222222-1-1-12-1-1-2-2-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-11-21-21111-2-211111111-2-2111100000000-2-20000002002-200000000001111-100-1
χ292222-2-222-1222-1-12-1222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2111111112-1-2122-1-1-1-1-1-1-1-1-2-21111111100220000000000-2200-20000-1-111000000000-110
χ302222-2-222-1222-1-12-1222-1-1-1-12-2-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2111111112-1-2122-1-1-1-1-1-1-1-1-2-21111111100-2-200000000002-2002000011-1-10000000001-10
χ312222-2-222-1222-1-12-1222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-211111111-212-1-2-21111111122-1-1-1-1-1-1-1-100220000000000-2-20020000-1-1110000000001-10
χ322222-2-222-1222-1-12-1222-1-1-1-1-22-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-222-2-211111111-212-1-2-21111111122-1-1-1-1-1-1-1-100-2-200000000002200-2000011-1-1000000000-110
χ332222-2-22-1222-122-12-12-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-211111122-2-2-1-122-1-1-1-1-1-111-2-21111112200-2-2-2-20011110002000-1-1000011-1-100000000
χ342222-2-22-1222-122-12-12-12-1-1-12-2-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-211111122-2-2-1-122-1-1-1-1-1-111-2-2111111-2-200222200-1-1-1-1000-2000110000-1-11100000000
χ352222-2-22-1222-122-12-12-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-1-111-2-2111111-2-22211-2-2111111-1-122-1-1-1-1-1-1220022-2-200-1-1-1-1000-2000-1-10000111100000000
χ362222-2-22-1222-122-12-12-12-1-1-1-22-2-211-2-2-12-1-1-1-1-122-1-1-1-1-1-111-1-111-2-2111111-2-22211-2-2111111-1-122-1-1-1-1-1-1-2-200-2-2220011110002000110000-1-1-1-100000000
χ372222-2-2-122-1-1222222-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-21111-121-2-1-1-1-122-1-1-1-11111-2-211110000000022000000-2002-2000000000011-1-1100-1
χ382222-2-2-122-1-1222222-1-1-12-1-12-211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-122-2-21111-2-21111-121-2-1-1-1-122-1-1-1-11111-2-2111100000000-2-2000000200-220000000000-1-111-1001
χ392222-2-2-122-1-1222222-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-211111-2-121111-2-21111-1-1-1-122-1-1-1-10000000022000000200-2-2000000000011-1-1-1001
χ402222-2-2-122-1-1222222-1-1-12-1-1-2211-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-211111-2-121111-2-21111-1-1-1-122-1-1-1-100000000-2-2000000-200220000000000-1-111100-1
χ4122-2-2002222-222-2-2-2-2-22222200000000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002-22i−2i002i−2i2i2i−2i−2i0000000002-2000000002i−2i0000
χ4222-2-2002222-222-2-2-2-2-22222200000000-2-2-2-2-22-22-22-222-2-200000000000000000000000000000000000000002-2−2i2i00−2i2i−2i−2i2i2i0000000002-200000000−2i2i0000
χ4322-2-2002222-222-2-2-2-2-22222200000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000-222i−2i00−2i2i2i2i−2i−2i000000000-2200000000−2i2i0000
χ4422-2-2002222-222-2-2-2-2-22222200000000-2-2-2-2-22-22-22-222-2-20000000000000000000000000000000000000000-22−2i2i002i−2i−2i−2i2i2i000000000-22000000002i−2i0000
χ452-2-222-2222-2-2-2-2-222-2222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-20000000000000000000000002-200002-200000000000002-200002-20000000000
χ462-2-222-2222-2-2-2-2-222-2222222002-22-22-222222-2-2-2-2-2-2-2-2-2-200002-22-22-222-2-2000000000000000000000000-220000-220000000000000-220000-220000000000
χ472-2-222-22-12-2-21-2-2-1212-12-1-1-1002-2-112-2-12-1-1-111-2-21111113−33−3-112-2-11-1-11100003−3003−333−3−33−3003−333−3−32-200002-2003−33−30000000-110000-113−300000000
χ482-2-222-22-12-2-21-2-2-1212-12-1-1-1002-2-112-2-12-1-1-111-2-21111113−33−3-112-2-11-1-11100003−3003−333−3−33−3003−333−3−3-220000-2200−33−3300000001-100001-1−3300000000
χ492-2-222-22-12-2-21-2-2-1212-12-1-1-1002-2-112-2-12-1-1-111-2-2111111−33−33-112-2-11-1-1110000−3300−33−3−333−3300−33−3−3332-200002-200−33−330000000-110000-11−3300000000
χ502-2-222-22-12-2-21-2-2-1212-12-1-1-1002-2-112-2-12-1-1-111-2-2111111−33−33-112-2-11-1-1110000−3300−33−3−333−3300−33−3−333-220000-22003−33−300000001-100001-13−300000000
χ512-2-22-22222-2-2-2-2-222-222222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-2220000000000000000000000002-20000-2200000000000002-20000-220000000000
χ522-2-22-22222-2-2-2-2-222-222222200-22-22-2222222-2-2-2-2-2-2-2-2-2-20000-22-22-22-2-222000000000000000000000000-2200002-20000000000000-2200002-20000000000
χ532-2-22-222-12-2-21-2-2-1212-12-1-1-100-221-1-22-12-1-1-111-2-21111113−3−331-1-221-111-1-100003−3003−333−3−3−3300−33−3−3332-20000-2200−33−330000000-1100001-13−300000000
χ542-2-22-222-12-2-21-2-2-1212-12-1-1-100-221-1-22-12-1-1-111-2-21111113−3−331-1-221-111-1-100003−3003−333−3−3−3300−33−3−333-2200002-2003−33−300000001-10000-11−3300000000
χ552-2-22-222-12-2-21-2-2-1212-12-1-1-100-221-1-22-12-1-1-111-2-2111111−333−31-1-221-111-1-10000−3300−33−3−3333−3003−333−3−32-20000-22003−33−30000000-1100001-1−3300000000
χ562-2-22-222-12-2-21-2-2-1212-12-1-1-100-221-1-22-12-1-1-111-2-2111111−333−31-1-221-111-1-10000−3300−33−3−3333−3003−333−3−3-2200002-200−33−3300000001-10000-113−300000000
χ574444444-2-244-2-2-2-2-2-24-2-21114444-2-2-2-2-2-2111-2-2-2-2111111-2-2-2-2-2-2-2-21111114-24-2-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ584444444-2-244-2-2-2-2-2-24-2-2111-4-444-2-2-2-2-2-2111-2-2-2-21111112222-2-2-2-2111111-42-422222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ59444444-24-2-2-24-2-24-24-2-21-21144-2-244-2-2-21-211-2-211-2-211114444-2-211-2-21111-2-2-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ60444444-24-2-2-24-2-24-24-2-21-211-4-4-2-244-2-2-21-211-2-211-2-21111-4-4-4-4-2-211-2-21111222222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ61444444-2-24-2-2-244-24-2-21-2-21144-2-2-2-2441-2-21111-2-2-2-21111-2-2-2-211-2-2-2-21111-24-2411-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ62444444-2-24-2-2-244-24-2-21-2-211-4-4-2-2-2-2441-2-21111-2-2-2-21111222211-2-2-2-211112-42-4-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
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
χ674444-4-44-2-244-2-2-2-2-2-24-2-21114-4-4-42222-2-2111-2-2-2-2111111-2-2222222-1-1-1-1-1-14-2-42-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ684444-4-44-2-244-2-2-2-2-2-24-2-2111-44-4-42222-2-2111-2-2-2-211111122-2-22222-1-1-1-1-1-1-424-22222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ694444-4-4-24-2-2-24-2-24-24-2-21-2114-422-4-422-21-211-2-211-2-2111144-4-422-1-122-1-1-1-1-2-222-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ704444-4-4-24-2-2-24-2-24-24-2-21-211-4422-4-422-21-211-2-211-2-21111-4-44422-1-122-1-1-1-122-2-222-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ714444-4-4-2-24-2-2-244-24-2-21-2-2114-42222-4-41-2-21111-2-2-2-21111-2-222-1-12222-1-1-1-1-242-411-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ724444-4-4-2-24-2-2-244-24-2-21-2-211-442222-4-41-2-21111-2-2-2-2111122-2-2-1-12222-1-1-1-12-4-24-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
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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+3i3222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-40044-24-44-22-42-4-44-2-2-2-200000000-422224-4-22-22-2-22200000000000000000000000000000000000000004-40000000000000000000-2200000000000000
χ7844-4-40044-24-44-22-42-4-44-2-2-2-200000000-422224-4-22-22-2-2220000000000000000000000000000000000000000-4400000000000000000002-200000000000000
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χ8044-4-4004-244-4-24-42-42-4-24-2-2-2000000002-4222-224-4-22-2-222000000000000000000000000000000000000000000−4i4i00002i2i−2i−2i0000000000000000000000000
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χ884-44-400-2442-2-4-44-4-442-2-24-2-20000000022-4222-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000000023−23000000
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χ914-4-444-44-2-2-4-4222-2-224-2-2111004-4-22-22-2-21112222-1-1-1-1-1-123−2323−23-22-221-111-1-1000023−2300−33−3−33323−2300−33−3−333000000000000000000000000000000000000000
χ924-4-444-44-2-2-4-4222-2-224-2-2111004-4-22-22-2-21112222-1-1-1-1-1-1−2323−2323-22-221-111-1-10000−2323003−333−3−3−2323003−333−3−3000000000000000000000000000000000000000
χ934-4-444-4-24422-4-4-444-4-2-2-24-2-200-224-44-4-2-24-2-22222-4-422220000-22-224-4-2-222000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-24-222-4224-2-4-2-21-21100-224-4-22-21-21122-1-122-1-1-1-10000-221-1-2211-1-10000003i−3i003i−3i−3i3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000
χ954-4-444-4-24-222-4224-2-4-2-21-21100-224-4-22-21-21122-1-122-1-1-1-10000-221-1-2211-1-1000000−3i3i00−3i3i3i−3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000
χ964-4-444-4-2-24222-4-4-242-21-2-21100-22-224-41-2-211-1-12222-1-1-1-123−2323−231-1-22-2211-1-10000−330023−23−3−333−330023−23−3−333000000000000000000000000000000000000000
χ974-4-444-4-2-24222-4-4-242-21-2-21100-22-224-41-2-211-1-12222-1-1-1-1−2323−23231-1-22-2211-1-100003−300−232333−3−33−300−232333−3−3000000000000000000000000000000000000000
χ984-4-444-4-2-2-222222-2-22-2111−1−3i32−1+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
χ994-4-444-4-2-2-222222-2-22-2111−1−3i32−1+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
χ1004-4-444-4-2-2-222222-2-22-2111−1+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
χ1014-4-444-4-2-2-222222-2-22-2111−1+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
χ1024-4-44-4444-2-4-4-4224-2-444-2-2-2-200-44-442-24-2-2-2-2-4-4222222220000-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-2-2-4-4222-2-224-2-211100-442-22-2-2-21112222-1-1-1-1-1-123−23−23232-22-2-11-1-111000023−2300−33−3−333−2323003−333−3−3000000000000000000000000000000000000000
χ1044-4-44-444-2-2-4-4222-2-224-2-211100-442-22-2-2-21112222-1-1-1-1-1-1−232323−232-22-2-11-1-1110000−2323003−333−3−323−2300−33−3−333000000000000000000000000000000000000000
χ1054-4-44-44-24422-4-4-444-4-2-2-24-2-2002-2-44-44-2-24-2-22222-4-4222200002-22-2-4422-2-2000000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-44-24-222-4224-2-4-2-21-211002-2-442-2-21-21122-1-122-1-1-1-100002-2-112-2-1-1110000003i−3i003i−3i−3i3i00−3i3i00−3i3i3i−3i000000000000000000000000000000000000000
χ1074-4-44-44-24-222-4224-2-4-2-21-211002-2-442-2-21-21122-1-122-1-1-1-100002-2-112-2-1-111000000−3i3i00−3i3i3i−3i003i−3i003i−3i−3i3i000000000000000000000000000000000000000
χ1084-4-44-44-2-24222-4-4-242-21-2-211002-22-2-441-2-211-1-12222-1-1-1-123−23−2323-112-22-2-1-1110000−330023−23−3−3333−300−232333−3−3000000000000000000000000000000000000000
χ1094-4-44-44-2-24222-4-4-242-21-2-211002-22-2-441-2-211-1-12222-1-1-1-1−232323−23-112-22-2-1-11100003−300−232333−3−3−330023−23−3−333000000000000000000000000000000000000000
χ1104-4-44-44-2-2-222222-2-22-2111−1−3i32−1+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
χ1114-4-44-44-2-2-222222-2-22-2111−1−3i32−1+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
χ1124-4-44-44-2-2-222222-2-22-2111−1+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
χ1134-4-44-44-2-2-222222-2-22-2111−1+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
χ11488-8-8008-4-48-8-4-44444-8-4-42220000000044-2-2-2-44-442-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-48-4-448-44-84-84-42-422000000004-24-2-2-442-2-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-800-4-48-44-48-84-8442-4-42200000000-244-2-22-2-44-4422-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-800-4-4-4-44-4-444444222−1−3i3−1+3i300000000-2-2-21+3i31−3i32-22-22-2−1−3i3−1+3i31+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800-4-4-4-44-4-444444222−1+3i3−1−3i300000000-2-2-21−3i31+3i32-22-22-2−1+3i3−1−3i31−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8008-4-4-8844-444-4-8-4-42220000000044-2-2-24-44-4-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-48-44-4-84-4-8484-42-422000000004-24-2-24-4-224-4-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-800-4-484-44-884-8-442-4-42200000000-244-2-2-224-44-4-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-800-4-4-44-444-444-44222−1−3i3−1+3i300000000-2-2-21+3i31−3i3-22-22-221+3i31−3i3−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-800-4-4-44-444-444-44222−1+3i3−1−3i300000000-2-2-21−3i31+3i3-22-22-221−3i31+3i3−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000

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