Finite Group Databasebeta

← Group #13173227

Character table — Group #13173227

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444444488888888888899991818181818181818181836363636363611112244444444448888888888889999181818181818181818183636363636361111224444444444888888888888999918181818181818181818363636363636
order1222443344666666121212121212121212121212444444888888882488883666121233121266666612121212121212121212121212121212121224242424242424246122424242436661212331212666666121212121212121212121212121212121212242424242424242461224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i1111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i1111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii1111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii1111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1
χ611111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ711111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i11111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ91111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-111-11-11111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-111-11-11111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-111-11-1
χ101111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-11-111111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-11-111111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-11-11
χ111111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii1111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii1111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii
χ121111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i1111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i1111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i
χ131111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1-11-111111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1-11-111111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1-11-11
χ141111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-11-11111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-11-11111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-11-1
χ151111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i1111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i1111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i
χ161111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii1111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii1111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii
χ1722-2-2002200-2-2-2-2220000000000002i2i−2i−2i00002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000022-2-2002200-2-2-2-2220000000000002i2i−2i−2i00002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000022-2-2002200-2-2-2-2220000000000002i2i−2i−2i00002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000
χ1822-2-2002200-2-2-2-2220000000000002i2i−2i−2i0000−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000022-2-2002200-2-2-2-2220000000000002i2i−2i−2i0000−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000022-2-2002200-2-2-2-2220000000000002i2i−2i−2i0000−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000
χ1922-2-2002200-2-2-2-222000000000000−2i−2i2i2i00002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000022-2-2002200-2-2-2-222000000000000−2i−2i2i2i00002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000022-2-2002200-2-2-2-222000000000000−2i−2i2i2i00002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000
χ2022-2-2002200-2-2-2-222000000000000−2i−2i2i2i0000−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000022-2-2002200-2-2-2-222000000000000−2i−2i2i2i0000−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000022-2-2002200-2-2-2-222000000000000−2i−2i2i2i0000−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000
χ212-22-22i−2i2200-2-222-2-200002i2i−2i−2i00002-22-22i−2i000000000000002-22-22i−2i2200-2-222-2-200002i2i−2i−2i00002-22-22i−2i000000000000002-22-22i−2i2200-2-222-2-200002i2i−2i−2i00002-22-22i−2i00000000000000
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χ232-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i00002-22-2−2i2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i00002-22-2−2i2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i00002-22-2−2i2i00000000000000
χ242-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i0000-22-222i−2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i0000-22-222i−2i000000000000002-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i0000-22-222i−2i00000000000000
χ252-2-2200220022-2-2-2-20000000000002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000002-2-2200220022-2-2-2-20000000000002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000002-2-2200220022-2-2-2-20000000000002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000
χ262-2-2200220022-2-2-2-20000000000002i−2i−2i2i00−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000002-2-2200220022-2-2-2-20000000000002i−2i−2i2i00−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000002-2-2200220022-2-2-2-20000000000002i−2i−2i2i00−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000
χ272-2-2200220022-2-2-2-2000000000000−2i2i2i−2i002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000002-2-2200220022-2-2-2-2000000000000−2i2i2i−2i002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000002-2-2200220022-2-2-2-2000000000000−2i2i2i−2i002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000
χ282-2-2200220022-2-2-2-2000000000000−2i2i2i−2i00−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000002-2-2200220022-2-2-2-2000000000000−2i2i2i−2i00−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000002-2-2200220022-2-2-2-2000000000000−2i2i2i−2i00−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000
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χ31444444-2144-21-21-21-2-211-21-21-2-21100000000000000000000444444-2144-21-21-21-2-211-21-21-2-21100000000000000000000444444-2144-21-21-21-2-211-21-21-2-21100000000000000000000
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χ334444-4-41-24-41-21-21-2-1-122-12-1211-2-2000000000000000000004444-4-41-24-41-21-21-2-1-122-12-1211-2-2000000000000000000004444-4-41-24-41-21-21-2-1-122-12-1211-2-200000000000000000000
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χ374-44-44i−4i1-200-121-2-123-300i−2i−i2i3i−3i00000000000000000000004-44-44i−4i1-200-121-2-123-300i−2i−i2i3i−3i00000000000000000000004-44-44i−4i1-200-121-2-123-300i−2i−i2i3i−3i0000000000000000000000
χ384-44-44i−4i1-200-121-2-12-3300i−2i−i2i−3i3i00000000000000000000004-44-44i−4i1-200-121-2-12-3300i−2i−i2i−3i3i00000000000000000000004-44-44i−4i1-200-121-2-12-3300i−2i−i2i−3i3i0000000000000000000000
χ394-44-44i−4i-21002-1-212-1003-3−2ii2i−i003i−3i000000000000000000004-44-44i−4i-21002-1-212-1003-3−2ii2i−i003i−3i000000000000000000004-44-44i−4i-21002-1-212-1003-3−2ii2i−i003i−3i00000000000000000000
χ404-44-44i−4i-21002-1-212-100-33−2ii2i−i00−3i3i000000000000000000004-44-44i−4i-21002-1-212-100-33−2ii2i−i00−3i3i000000000000000000004-44-44i−4i-21002-1-212-100-33−2ii2i−i00−3i3i00000000000000000000
χ414-44-4−4i4i1-200-121-2-123-300−i2ii−2i−3i3i00000000000000000000004-44-4−4i4i1-200-121-2-123-300−i2ii−2i−3i3i00000000000000000000004-44-4−4i4i1-200-121-2-123-300−i2ii−2i−3i3i0000000000000000000000
χ424-44-4−4i4i1-200-121-2-12-3300−i2ii−2i3i−3i00000000000000000000004-44-4−4i4i1-200-121-2-12-3300−i2ii−2i3i−3i00000000000000000000004-44-4−4i4i1-200-121-2-12-3300−i2ii−2i3i−3i0000000000000000000000
χ434-44-4−4i4i-21002-1-212-1003-32i−i−2ii00−3i3i000000000000000000004-44-4−4i4i-21002-1-212-1003-32i−i−2ii00−3i3i000000000000000000004-44-4−4i4i-21002-1-212-1003-32i−i−2ii00−3i3i00000000000000000000
χ444-44-4−4i4i-21002-1-212-100-332i−i−2ii003i−3i000000000000000000004-44-4−4i4i-21002-1-212-100-332i−i−2ii003i−3i000000000000000000004-44-4−4i4i-21002-1-212-100-332i−i−2ii003i−3i00000000000000000000
χ4588-8-8002-400-24-242-40000000000000000000000000000000088-8-8002-400-24-242-40000000000000000000000000000000088-8-8002-400-24-242-400000000000000000000000000000000
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χ478-8-88002-4002-4-24-24000000000000000000000000000000008-8-88002-4002-4-24-24000000000000000000000000000000008-8-88002-4002-4-24-2400000000000000000000000000000000
χ488-8-8800-4200-424-24-2000000000000000000000000000000008-8-8800-4200-424-24-2000000000000000000000000000000008-8-8800-4200-424-24-200000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ501111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
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χ521111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i32−ζ22−ζ22ζ22ζ22
χ5311111111-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ5411111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5511111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−ζ22−ζ22ζ22ζ22
χ5611111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i32ζ14ζ14−ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i32ζ22ζ22−ζ22−ζ22
χ571111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-111-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32
χ581111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ591111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22−ζ22ζ22
χ601111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22ζ22−ζ22
χ611111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ621111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
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χ10211111111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ10311111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−ζ14−ζ14ζ14ζ14
χ10411111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1+i32−1+i32ζ14ζ14−ζ14−ζ14
χ1051111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-111-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32
χ1061111-1-1111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-11-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ1071111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i−i−iii1-1i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14−ζ14ζ14
χ1081111-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111−i−iiiii−i−i1-1−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14ζ14−ζ14
χ1091111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ1101111-1-111-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32
χ1111111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11−iii−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−ζ14ζ14ζ14−ζ14
χ1121111-1-111-111111111111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11i−i−ii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32ζ14−ζ14−ζ14ζ14
χ11322-2-2002200-2-2-2-2220000000000002i2i−2i−2i00002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000−1−i3−1−i31+i31+i300−1−i3−1−i3001+i31+i31+i31+i3−1−i3−1−i30000000000002ζ222ζ22−2ζ22−2ζ220000−2ζ72ζ700−2ζ132ζ13000000−1+i3−1+i31−i31−i300−1+i3−1+i3001−i31−i31−i31−i3−1+i3−1+i30000000000002ζ142ζ14−2ζ14−2ζ140000−2ζ232ζ2300−2ζ52ζ5000000
χ11422-2-2002200-2-2-2-2220000000000002i2i−2i−2i0000−2ζ7−2ζ232ζ7+2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000−1−i3−1−i31+i31+i300−1−i3−1−i3001+i31+i31+i31+i3−1−i3−1−i30000000000002ζ222ζ22−2ζ22−2ζ2200002ζ7−2ζ7002ζ13−2ζ13000000−1+i3−1+i31−i31−i300−1+i3−1+i3001−i31−i31−i31−i3−1+i3−1+i30000000000002ζ142ζ14−2ζ14−2ζ1400002ζ23−2ζ23002ζ5−2ζ5000000
χ11522-2-2002200-2-2-2-222000000000000−2i−2i2i2i00002ζ5+2ζ13−2ζ5−2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000−1−i3−1−i31+i31+i300−1−i3−1−i3001+i31+i31+i31+i3−1−i3−1−i3000000000000−2ζ22−2ζ222ζ222ζ220000−2ζ132ζ1300−2ζ72ζ7000000−1+i3−1+i31−i31−i300−1+i3−1+i3001−i31−i31−i31−i3−1+i3−1+i3000000000000−2ζ14−2ζ142ζ142ζ140000−2ζ52ζ500−2ζ232ζ23000000
χ11622-2-2002200-2-2-2-222000000000000−2i−2i2i2i0000−2ζ5−2ζ132ζ5+2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000−1−i3−1−i31+i31+i300−1−i3−1−i3001+i31+i31+i31+i3−1−i3−1−i3000000000000−2ζ22−2ζ222ζ222ζ2200002ζ13−2ζ13002ζ7−2ζ7000000−1+i3−1+i31−i31−i300−1+i3−1+i3001−i31−i31−i31−i3−1+i3−1+i3000000000000−2ζ14−2ζ142ζ142ζ1400002ζ5−2ζ5002ζ23−2ζ23000000
χ1172-22-22i−2i2200-2-222-2-200002i2i−2i−2i00002-22-22i−2i00000000000000−1−i31+i3−1−i31+i32ζ22−2ζ22−1−i3−1−i3001+i31+i3−1−i3−1−i31+i31+i300002ζ222ζ22−2ζ22−2ζ220000−1−i31+i3−1−i31+i32ζ22−2ζ2200000000000000−1+i31−i3−1+i31−i32ζ14−2ζ14−1+i3−1+i3001−i31−i3−1+i3−1+i31−i31−i300002ζ142ζ14−2ζ14−2ζ140000−1+i31−i3−1+i31−i32ζ14−2ζ1400000000000000
χ1182-22-22i−2i2200-2-222-2-200002i2i−2i−2i0000-22-22−2i2i00000000000000−1−i31+i3−1−i31+i32ζ22−2ζ22−1−i3−1−i3001+i31+i3−1−i3−1−i31+i31+i300002ζ222ζ22−2ζ22−2ζ2200001+i3−1−i31+i3−1−i3−2ζ222ζ2200000000000000−1+i31−i3−1+i31−i32ζ14−2ζ14−1+i3−1+i3001−i31−i3−1+i3−1+i31−i31−i300002ζ142ζ14−2ζ14−2ζ1400001−i3−1+i31−i3−1+i3−2ζ142ζ1400000000000000
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χ1202-22-2−2i2i2200-2-222-2-20000−2i−2i2i2i0000-22-222i−2i00000000000000−1−i31+i3−1−i31+i3−2ζ222ζ22−1−i3−1−i3001+i31+i3−1−i3−1−i31+i31+i30000−2ζ22−2ζ222ζ222ζ2200001+i3−1−i31+i3−1−i32ζ22−2ζ2200000000000000−1+i31−i3−1+i31−i3−2ζ142ζ14−1+i3−1+i3001−i31−i3−1+i3−1+i31−i31−i30000−2ζ14−2ζ142ζ142ζ1400001−i3−1+i31−i3−1+i32ζ14−2ζ1400000000000000
χ1212-2-2200220022-2-2-2-20000000000002i−2i−2i2i002ζ7+2ζ23−2ζ7−2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000−1−i31+i31+i3−1−i300−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i30000000000002ζ22−2ζ22−2ζ222ζ2200−2ζ72ζ700−2ζ132ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i30000000000002ζ14−2ζ14−2ζ142ζ1400−2ζ232ζ2300−2ζ52ζ500000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.