Finite Group Databasebeta

← Group #13047876

Character table — Group #13047876

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size112223333444466666666121212121212121212121218181818181836363611222333344446666666612121212121212121212121818181818183636361122233334444666666661212121212121212121212181818181818363636
order12346336641212129991212181818121236363636363636363688242424242663631263366121212129991212181818121236363636363636363624242424242466636312633661212121299912121818181212363636363636363636242424242424666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111-11-1-111111111-1-1111-1-1-1-1-1-1111111-1-1-1111111111-11-1-111111111-1-1111-1-1-1-1-1-1111111-1-1-1111111111-11-1-111111111-1-1111-1-1-1-1-1-1111111-1-1-1
χ4111111111-11-1-111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ611111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11+i321−i32
χ711111−1−i32−1+i32−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ811111−1−i32−1+i32−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32-11-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i32
χ911111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ1011111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32
χ1111111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ1211111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32
χ132222222222222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-10000000002222222222222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-10000000002222222222222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1000000000
χ14222222222-22-2-2-1-1-122-1-1-1-2-2-1-1-1111111000000000222222222-22-2-2-1-1-122-1-1-1-2-2-1-1-1111111000000000222222222-22-2-2-1-1-122-1-1-1-2-2-1-1-1111111000000000
χ1522222−1−i3−1+i3−1−i3−1+i32222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i3200000000022222−1−i3−1+i3−1−i3−1+i32222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i3200000000022222−1−i3−1+i3−1−i3−1+i32222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32000000000
χ1622222−1−i3−1+i3−1−i3−1+i3-22-2-2-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i3200000000022222−1−i3−1+i3−1−i3−1+i3-22-2-2-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i3200000000022222−1−i3−1+i3−1−i3−1+i3-22-2-2-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000
χ1722222−1+i3−1−i3−1+i3−1−i32222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i3200000000022222−1+i3−1−i3−1+i3−1−i32222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i3200000000022222−1+i3−1−i3−1+i3−1−i32222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32000000000
χ1822222−1+i3−1−i3−1+i3−1−i3-22-2-2-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i3200000000022222−1+i3−1−i3−1+i3−1−i3-22-2-2-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i3200000000022222−1+i3−1−i3−1+i3−1−i3-22-2-2-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000
χ19222-2222220-200222-2-222200-2-2-2000000000000000222-2222220-200222-2-222200-2-2-2000000000000000222-2222220-200222-2-222200-2-2-2000000000000000
χ20222-2222220-200-1-1-1-2-2-1-1-100111−i3i3−i3i3−i3i3000000000222-2222220-200-1-1-1-2-2-1-1-100111−i3i3−i3i3−i3i3000000000222-2222220-200-1-1-1-2-2-1-1-100111−i3i3−i3i3−i3i3000000000
χ21222-2222220-200-1-1-1-2-2-1-1-100111i3−i3i3−i3i3−i3000000000222-2222220-200-1-1-1-2-2-1-1-100111i3−i3i3−i3i3−i3000000000222-2222220-200-1-1-1-2-2-1-1-100111i3−i3i3−i3i3−i3000000000
χ22222-22−1−i3−1+i3−1−i3−1+i30-2002−1−i3−1+i31+i31−i32−1−i3−1+i300-21+i31−i3000000000000000222-22−1−i3−1+i3−1−i3−1+i30-2002−1−i3−1+i31+i31−i32−1−i3−1+i300-21+i31−i3000000000000000222-22−1−i3−1+i3−1−i3−1+i30-2002−1−i3−1+i31+i31−i32−1−i3−1+i300-21+i31−i3000000000000000
χ23222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000000000222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000000000222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000000000
χ24222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000000000222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000000000222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000000000
χ25222-22−1+i3−1−i3−1+i3−1−i30-2002−1+i3−1−i31−i31+i32−1+i3−1−i300-21−i31+i3000000000000000222-22−1+i3−1−i3−1+i3−1−i30-2002−1+i3−1−i31−i31+i32−1+i3−1−i300-21−i31+i3000000000000000222-22−1+i3−1−i3−1+i3−1−i30-2002−1+i3−1−i31−i31+i32−1+i3−1−i300-21−i31+i3000000000000000
χ26222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000000000222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000000000222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000000000
χ27222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000000000222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000000000222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000000000
χ282-220-222-2-2000022200-2-2-200000000000−i2i2−i2i2−i2i20002-220-222-2-2000022200-2-2-200000000000−i2i2−i2i2−i2i20002-220-222-2-2000022200-2-2-200000000000−i2i2−i2i2−i2i2000
χ292-220-222-2-2000022200-2-2-200000000000i2−i2i2−i2i2−i20002-220-222-2-2000022200-2-2-200000000000i2−i2i2−i2i2−i20002-220-222-2-2000022200-2-2-200000000000i2−i2i2−i2i2−i2000
χ302-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000−i2i2ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ230002-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000−i2i2ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ230002-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000−i2i2ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23000
χ312-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000i2−i2−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ230002-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000i2−i2−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ230002-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000i2−i2−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23000
χ322-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000−i2i2ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ130002-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000−i2i2ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ130002-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000−i2i2ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13000
χ332-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000i2−i2−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ130002-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000i2−i2−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ130002-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000i2−i2−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13000
χ344-440-444-4-40000-2-2-200222000000000000000000004-440-444-4-40000-2-2-200222000000000000000000004-440-444-4-40000-2-2-20022200000000000000000000
χ354-440-4−2−2i3−2+2i32+2i32−2i30000-21+i31−i3002−1−i3−1+i3000000000000000000004-440-4−2−2i3−2+2i32+2i32−2i30000-21+i31−i3002−1−i3−1+i3000000000000000000004-440-4−2−2i3−2+2i32+2i32−2i30000-21+i31−i3002−1−i3−1+i300000000000000000000
χ364-440-4−2+2i3−2−2i32−2i32+2i30000-21−i31+i3002−1+i3−1−i3000000000000000000004-440-4−2+2i3−2−2i32−2i32+2i30000-21−i31+i3002−1+i3−1−i3000000000000000000004-440-4−2+2i3−2−2i32−2i32+2i30000-21−i31+i3002−1+i3−1−i300000000000000000000
χ3766-36-300006-3-3-3000000000000000000000000000066-36-300006-3-3-3000000000000000000000000000066-36-300006-3-3-30000000000000000000000000000
χ3866-36-30000-6-333000000000000000000000000000066-36-30000-6-333000000000000000000000000000066-36-30000-6-3330000000000000000000000000000
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χ9211111−1+i32−1−i32−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i321+i321+i32-1-11−i321−i321+i32-11−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32-1-11−i321+i32-1
χ9311111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-11−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i32−1−i321+i321+i32−1−i321−1+i321−1+i32−1−i321−1+i32-11−i32−1−i321−1+i321+i321+i32-1-11−i321−i32−1−i32−1−i3211−1+i32−1+i321+i32-11−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i32−1+i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1−i3211+i32-1−1+i32−1−i3211−i321−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i32111−i321+i32-1
χ9411111−1+i32−1−i32−1+i32−1−i32-11-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i321+i32−1−i321+i321+i32−1−i321−1+i321−1+i32−1−i321−1+i32-11−i32−1−i321−1+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i32−1−i321−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i3211−i32−1+i321−i321−i32−1+i32−1−i321−1−i321−1+i32−1−i3211+i32-1−1+i32−1−i3211−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1−1+i32−1−i321
χ952222222222222-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ96222222222-22-2-2-1-1-122-1-1-1-2-2-1-1-1111111000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000
χ9722222−1−i3−1+i3−1−i3−1+i32222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1−i3−1−i31+i321−i32-1−1+i321+i321−i32-1−1+i321+i321−i32-11+i321+i321−i321−i32-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i32−1−i32−1−i3−1+i3−1+i3−1+i3−1+i31−i32-11+i322−1−i31−i32-11+i322−1−i31−i32-11+i321−i321−i32-1-11+i321+i32000000000
χ9822222−1−i3−1+i3−1−i3−1+i3-22-2-2-11+i321−i32−1−i3−1+i3-11+i321−i321+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1+i32−1+i321+i3−1−i31+i31+i31+i321−i32-1−1+i321+i321−i32-11−i3-21+i321−i32-1−1−i32−1−i32−1+i32−1+i3211000000000−1+i3−1+i3−1+i3−1+i3−1+i32−1−i32−1−i31−i3−1+i31−i31−i31−i32-11+i322−1−i31−i32-11+i32-21+i31−i32-11+i32−1+i32−1+i3211−1−i32−1−i32000000000
χ9922222−1+i3−1−i3−1+i3−1−i32222-11−i321+i32−1+i3−1−i3-11−i321+i32−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32000000000−1−i3−1−i3−1−i3−1−i3−1−i32−1+i32−1+i3−1−i3−1−i3−1−i3−1−i31+i32-11−i322−1+i31+i32-11−i322−1+i31+i32-11−i321+i321+i32-1-11−i321−i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1−i32−1−i32−1+i3−1+i3−1+i3−1+i31−i321+i32-1−1−i321−i321+i32-1−1−i321−i321+i32-11−i321−i321+i321+i32-1-1000000000
χ10022222−1+i3−1−i3−1+i3−1−i3-22-2-2-11−i321+i32−1+i3−1−i3-11−i321+i321−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i32−1+i32−1+i31+i3−1−i31+i31+i31+i32-11−i322−1+i31+i32-11−i32-21−i31+i32-11−i32−1−i32−1−i3211−1+i32−1+i32000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1−i32−1−i321−i3−1+i31−i31−i31−i321+i32-1−1−i321−i321+i32-11+i3-21−i321+i32-1−1+i32−1+i32−1−i32−1−i3211000000000
χ101222-2222220-200222-2-222200-2-2-2000000000000000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i301+i300−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i31+i3000000000000000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i301−i300−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i31−i3000000000000000
χ102222-2222220-200-1-1-1-2-2-1-1-100111−i3i3−i3i3−i3i3000000000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i301+i3001+i321+i321+i321+i31+i31+i321+i321+i3200−1−i32−1−i32−1−i32−3+i323−i32−3+i323−i32−3+i323−i32000000000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i301−i3001−i321−i321−i321−i31−i31−i321−i321−i3200−1+i32−1+i32−1+i323+i32−3−i323+i32−3−i323+i32−3−i32000000000
χ103222-2222220-200-1-1-1-2-2-1-1-100111i3−i3i3−i3i3−i3000000000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i301+i3001+i321+i321+i321+i31+i31+i321+i321+i3200−1−i32−1−i32−1−i323−i32−3+i323−i32−3+i323−i32−3+i32000000000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i301−i3001−i321−i321−i321−i31−i31−i321−i321−i3200−1+i32−1+i32−1+i32−3−i323+i32−3−i323+i32−3−i323+i32000000000
χ104222-22−1−i3−1+i3−1−i3−1+i30-2002−1−i3−1+i31+i31−i32−1−i3−1+i300-21+i31−i3000000000000000−1−i3−1−i3−1−i31+i3−1−i3−1+i32−1+i3201+i300−1−i3−1+i321−i3-2−1−i3−1+i32001+i31−i3-2000000000000000−1+i3−1+i3−1+i31−i3−1+i32−1−i32−1−i301−i300−1+i32−1−i3-21+i3−1+i32−1−i3001−i3-21+i3000000000000000
χ105222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000000000−1−i3−1−i3−1−i31+i3−1−i3−1+i32−1+i3201+i3001+i321−i32-11−i3-21+i321−i32-100−1−i32−1+i321−3+i323−i323+i32−3−i32−i3i3000000000−1+i3−1+i3−1+i31−i3−1+i32−1−i32−1−i301−i3001−i32-11+i32-21+i31−i32-11+i3200−1+i321−1−i323+i32−3−i32−i3i3−3+i323−i32000000000
χ106222-22−1−i3−1+i3−1−i3−1+i30-200-11+i321−i321+i31−i3-11+i321−i32001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000000000−1−i3−1−i3−1−i31+i3−1−i3−1+i32−1+i3201+i3001+i321−i32-11−i3-21+i321−i32-100−1−i32−1+i3213−i32−3+i32−3−i323+i32i3−i3000000000−1+i3−1+i3−1+i31−i3−1+i32−1−i32−1−i301−i3001−i32-11+i32-21+i31−i32-11+i3200−1+i321−1−i32−3−i323+i32i3−i33−i32−3+i32000000000
χ107222-22−1+i3−1−i3−1+i3−1−i30-2002−1+i3−1−i31−i31+i32−1+i3−1−i300-21−i31+i3000000000000000−1−i3−1−i3−1−i31+i3−1−i32−1+i32−1+i301+i300−1−i32−1+i3-21−i3−1−i32−1+i3001+i3-21−i3000000000000000−1+i3−1+i3−1+i31−i3−1+i3−1−i32−1−i3201−i300−1+i3−1−i321+i3-2−1+i3−1−i32001−i31+i3-2000000000000000
χ108222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000000000−1−i3−1−i3−1−i31+i3−1−i32−1+i32−1+i301+i3001+i32-11−i32-21−i31+i32-11−i3200−1−i321−1+i32−3+i323−i32−i3i33+i32−3−i32000000000−1+i3−1+i3−1+i31−i3−1+i3−1−i32−1−i3201−i3001−i321+i32-11+i3-21−i321+i32-100−1+i32−1−i3213+i32−3−i32−3+i323−i32−i3i3000000000
χ109222-22−1+i3−1−i3−1+i3−1−i30-200-11−i321+i321−i31+i3-11−i321+i32001−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000000000−1−i3−1−i3−1−i31+i3−1−i32−1+i32−1+i301+i3001+i32-11−i32-21−i31+i32-11−i3200−1−i321−1+i323−i32−3+i32i3−i3−3−i323+i32000000000−1+i3−1+i3−1+i31−i3−1+i3−1−i32−1−i3201−i3001−i321+i32-11+i3-21−i321+i32-100−1+i32−1−i321−3−i323+i323−i32−3+i32i3−i3000000000
χ1102-220-222-2-2000022200-2-2-200000000000−i2i2−i2i2−i2i2000−1−i31+i3−1−i301+i3−1−i3−1−i31+i31+i30000−1−i3−1−i3−1−i3001+i31+i31+i300000000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13000−1+i31−i3−1+i301−i3−1+i3−1+i31−i31−i30000−1+i3−1+i3−1+i3001−i31−i31−i300000000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23000
χ1112-220-222-2-2000022200-2-2-200000000000i2−i2i2−i2i2−i2000−1−i31+i3−1−i301+i3−1−i3−1−i31+i31+i30000−1−i3−1−i3−1−i3001+i31+i31+i300000000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13000−1+i31−i3−1+i301−i3−1+i3−1+i31−i31−i30000−1+i3−1+i3−1+i3001−i31−i31−i300000000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23000
χ1122-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000−i2i2ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23000−1−i31+i3−1−i301+i3−1+i321−i3-20000−1−i3−1+i32001+i31−i3-200000000000ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23−i2i2000−1+i31−i3−1+i301−i32−1−i3-21+i30000−1+i32−1−i3001−i3-21+i300000000000ζ5+ζ23−ζ5−ζ23−i2i2ζ7+ζ13−ζ7−ζ13000
χ1132-220-2−1−i3−1+i31+i31−i300002−1−i3−1+i300-21+i31−i300000000000i2−i2−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23000−1−i31+i3−1−i301+i3−1+i321−i3-20000−1−i3−1+i32001+i31−i3-200000000000−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23i2−i2000−1+i31−i3−1+i301−i32−1−i3-21+i30000−1+i32−1−i3001−i3-21+i300000000000−ζ5−ζ23ζ5+ζ23i2−i2−ζ7−ζ13ζ7+ζ13000
χ1142-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000−i2i2ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13000−1−i31+i3−1−i301+i32−1+i3-21−i30000−1−i32−1+i3001+i3-21−i300000000000ζ7+ζ13−ζ7−ζ13−i2i2ζ5+ζ23−ζ5−ζ23000−1+i31−i3−1+i301−i3−1−i321+i3-20000−1+i3−1−i32001−i31+i3-200000000000ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13−i2i2000
χ1152-220-2−1+i3−1−i31−i31+i300002−1+i3−1−i300-21−i31+i300000000000i2−i2−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13000−1−i31+i3−1−i301+i32−1+i3-21−i30000−1−i32−1+i3001+i3-21−i300000000000−ζ7−ζ13ζ7+ζ13i2−i2−ζ5−ζ23ζ5+ζ23000−1+i31−i3−1+i301−i3−1−i321+i3-20000−1+i3−1−i32001−i31+i3-200000000000−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13i2−i2000
χ1164-440-444-4-40000-2-2-20022200000000000000000000−2−2i32+2i3−2−2i302+2i3−2−2i3−2−2i32+2i32+2i300001+i31+i31+i300−1−i3−1−i3−1−i300000000000000000000−2+2i32−2i3−2+2i302−2i3−2+2i3−2+2i32−2i32−2i300001−i31−i31−i300−1+i3−1+i3−1+i300000000000000000000
χ1174-440-4−2−2i3−2+2i32+2i32−2i30000-21+i31−i3002−1−i3−1+i300000000000000000000−2−2i32+2i3−2−2i302+2i3−2+2i342−2i3-400001+i31−i3-200−1−i3−1+i3200000000000000000000−2+2i32−2i3−2+2i302−2i34−2−2i3-42+2i300001−i3-21+i300−1+i32−1−i300000000000000000000
χ1184-440-4−2+2i3−2−2i32−2i32+2i30000-21−i31+i3002−1+i3−1−i300000000000000000000−2−2i32+2i3−2−2i302+2i34−2+2i3-42−2i300001+i3-21−i300−1−i32−1+i300000000000000000000−2+2i32−2i3−2+2i302−2i3−2−2i342+2i3-400001−i31+i3-200−1+i3−1−i3200000000000000000000
χ11966-36-300006-3-3-30000000000000000000000000000−3−3i3−3−3i33+3i32−3−3i33+3i320000−3−3i33+3i323+3i323+3i320000000000000000000000000000−3+3i3−3+3i33−3i32−3+3i33−3i320000−3+3i33−3i323−3i323−3i320000000000000000000000000000
χ12066-36-30000-6-3330000000000000000000000000000−3−3i3−3−3i33+3i32−3−3i33+3i3200003+3i33+3i32−3−3i32−3−3i320000000000000000000000000000−3+3i3−3+3i33−3i32−3+3i33−3i3200003−3i33−3i32−3+3i32−3+3i320000000000000000000000000000
χ12166-3-6-3000003−3i33i30000000000000000000000000000−3−3i3−3−3i33+3i323+3i33+3i3200000−3−3i32−9+3i329−3i320000000000000000000000000000−3+3i3−3+3i33−3i323−3i33−3i3200000−3+3i329+3i32−9−3i320000000000000000000000000000
χ12266-3-6-30000033i3−3i30000000000000000000000000000−3−3i3−3−3i33+3i323+3i33+3i3200000−3−3i329−3i32−9+3i320000000000000000000000000000−3+3i3−3+3i33−3i323−3i33−3i3200000−3+3i32−9−3i329+3i320000000000000000000000000000
χ12312-12-606000000000000000000000000000000000000−6−6i36+6i33+3i30−3−3i3000000000000000000000000000000000000−6+6i36−6i33−3i30−3+3i3000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.