Finite Group Databasebeta

← Group #13149824

Character table — Group #13149824

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222224446666666666991212121212121212121212181818181818181818181836363636727272721122222444666666666699121212121212121212121218181818181818181818183636363672727272
order123468812242433661212242424242236121212242424242424466881212242424242244661212226468812242466661212242424242266121212242424242424466881212242424242244661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ411111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11
χ511111-1-11-1-1111111-1-1-1-11111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-111111-1-11-1-1111111-1-1-1-11111111-1-1-1-1-1-1111-1-111-1-1-1-111-1-111-1-1
χ611111-1-11-1-1111111-1-1-1-11111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11111111-1-11-1-1111111-1-1-1-11111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-111
χ711111-1-11-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1111111-1-11-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-11
χ811111-1-11-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-111111-1-11-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1
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χ112222222222-12-12-1-1-1-1-1-122-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-1000000002222222222-12-12-1-1-1-1-1-122-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-100000000
χ122222222222-12-12-1-1-1-1-1-1-2-2-1-12-1-122-1-1-1-1-211-2-2111111000000002222222222-12-12-1-1-1-1-1-1-2-2-1-12-1-122-1-1-1-1-211-2-211111100000000
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χ1522222-2-22-2-2-12-12-1-1111122-1-12-1-1-2-211112-1-1-2-2-1-111110000000022222-2-22-2-2-12-12-1-1111122-1-12-1-1-2-211112-1-1-2-2-1-1111100000000
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χ20222-2200-200-12-121133−3−3-2-2-1-1-2110033−3−321100-1-1−3−33300000000222-2200-200-12-121133−3−3-2-2-1-1-2110033−3−321100-1-1−3−33300000000
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χ22222-2200-200-12-1211−3−333-2-2-1-1-21100−3−33321100-1-133−3−300000000222-2200-200-12-1211−3−333-2-2-1-1-21100−3−33321100-1-133−3−300000000
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χ242-220-2−i2i20−i2i222-2-200−i2i2−i2i2-222-2000−i2i2−i2i2−i2i20-22i2−i200i2−i2i2−i2000000002-220-2−i2i20−i2i222-2-200−i2i2−i2i2-222-2000−i2i2−i2i2−i2i20-22i2−i200i2−i2i2−i200000000
χ252-220-2−i2i20−i2i2-121-23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-2-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230-11−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-220-2−i2i20−i2i2-121-23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-2-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230-11−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ262-220-2−i2i20−i2i2-121-23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-22-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-1i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-220-2−i2i20−i2i2-121-23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-22-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-1i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ272-220-2−i2i20−i2i2-121-2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-2-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70-11−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-220-2−i2i20−i2i2-121-2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-2-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70-11−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ282-220-2−i2i20−i2i2-121-2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-220-2−i2i20−i2i2-121-2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ292-220-2i2−i20i2−i222-2-200i2−i2i2−i22-22-2000i2−i2i2−i2i2−i202-2i2−i200i2−i2i2−i2000000002-220-2i2−i20i2−i222-2-200i2−i2i2−i22-22-2000i2−i2i2−i2i2−i202-2i2−i200i2−i2i2−i200000000
χ302-220-2i2−i20i2−i222-2-200i2−i2i2−i2-222-2000i2−i2i2−i2i2−i20-22−i2i200−i2i2−i2i2000000002-220-2i2−i20i2−i222-2-200i2−i2i2−i2-222-2000i2−i2i2−i2i2−i20-22−i2i200−i2i2−i2i200000000
χ312-220-2i2−i20i2−i2-121-23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-2-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-220-2i2−i20i2−i2-121-23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-2-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ322-220-2i2−i20i2−i2-121-23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-22-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-220-2i2−i20i2−i2-121-23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-22-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ332-220-2i2−i20i2−i2-121-2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-2-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70-11i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-220-2i2−i20i2−i2-121-2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-2-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70-11i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ342-220-2i2−i20i2−i2-121-2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-22-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-220-2i2−i20i2−i2-121-2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-22-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ354444444444-2-2-2-2-2-2-2-2-2-20011-211-2-2111100000000000000000004444444444-2-2-2-2-2-2-2-2-2-20011-211-2-211110000000000000000000
χ3644444-4-44-4-4-2-2-2-2-2-222220011-21122-1-1-1-1000000000000000000044444-4-44-4-4-2-2-2-2-2-222220011-21122-1-1-1-10000000000000000000
χ37444-4400-4004-24-2-4-4000000-2-22220000000000000000000000000444-4400-4004-24-2-4-4000000-2-22220000000000000000000000000
χ38444-4400-400-2-2-2-2222323−23−2300112-1-100−3−3330000000000000000000444-4400-400-2-2-2-2222323−23−2300112-1-100−3−3330000000000000000000
χ39444-4400-400-2-2-2-222−23−23232300112-1-10033−3−30000000000000000000444-4400-400-2-2-2-222−23−23232300112-1-10033−3−30000000000000000000
χ404-440-4−2i22i20−2i22i24-2-4200−2i22i2−2i22i200-22000i2−i2i2−i2i2−i200000000000000000004-440-4−2i22i20−2i22i24-2-4200−2i22i2−2i22i200-22000i2−i2i2−i2i2−i20000000000000000000
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χ424-440-4−2i22i20−2i22i2-2-222−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7001-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000004-440-4−2i22i20−2i22i2-2-222−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7001-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000000
χ434-440-42i2−2i202i2−2i24-2-42002i2−2i22i2−2i200-22000−i2i2−i2i2−i2i200000000000000000004-440-42i2−2i202i2−2i24-2-42002i2−2i22i2−2i200-22000−i2i2−i2i2−i2i20000000000000000000
χ444-440-42i2−2i202i2−2i2-2-22223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23001-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000004-440-42i2−2i202i2−2i2-2-22223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23001-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000000
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χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5511111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-11-11-11-11
χ5611111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-11-1
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χ5911111-1-11-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-11-1-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1-1-1111111111-1-111-1-1-1-1-111-1-111-1
χ6011111-1-11-1-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1-1-1111111111-1-111-1-1-1-11-1-111-1-11
χ6122222222222-12-122222200-1-1-1-1-1-1-1-1-1-1-10000000000002020-10-1-2-2-2-2-2-2-2-2-2-2-21-21-2-2-2-2-2-20011111111111000000000000-20-20101
χ6222222222222-12-122222200-1-1-1-1-1-1-1-1-1-1-1000000000000-20-20101-2-2-2-2-2-2-2-2-2-2-21-21-2-2-2-2-2-200111111111110000000000002020-10-1
χ632222222222-12-12-1-1-1-1-1-122-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-21-21-2111111-2-211-211-2-21111-211-2-211111100000000
χ642222222222-12-12-1-1-1-1-1-1-2-2-1-12-1-122-1-1-1-1-211-2-211111100000000-2-2-2-2-2-2-2-2-2-21-21-21111112211-211-2-211112-1-122-1-1-1-1-1-100000000
χ6522222-2-22-2-22-12-122-2-2-2-200-1-1-1-1-111111100000000000020-20-101-2-2-2-2-222-222-21-21-2-222220011111-1-1-1-1-1-1000000000000-202010-1
χ6622222-2-22-2-22-12-122-2-2-2-200-1-1-1-1-1111111000000000000-202010-1-2-2-2-2-222-222-21-21-2-222220011111-1-1-1-1-1-100000000000020-20-101
χ6722222-2-22-2-2-12-12-1-1111122-1-12-1-1-2-211112-1-1-2-2-1-1111100000000-2-2-2-2-222-2221-21-211-1-1-1-1-2-211-21122-1-1-1-1-2112211-1-1-1-100000000
χ6822222-2-22-2-2-12-12-1-11111-2-2-1-12-1-1-2-21111-2112211-1-1-1-100000000-2-2-2-2-222-2221-21-211-1-1-1-12211-21122-1-1-1-12-1-1-2-2-1-1111100000000
χ69222-2200-2002222-2-200002222-2-2-2000000-22200-2-2000000000000-2-2-22-200200-2-2-2-2220000-2-2-2-22220000002-2-20022000000000000
χ70222-2200-2002222-2-20000-2-222-2-2-20000002-2-20022000000000000-2-2-22-200200-2-2-2-222000022-2-2222000000-22200-2-2000000000000
χ71222-2200-200-12-121133−3−322-1-1-2110033−3−3-2-1-1001133−3−300000000-2-2-22-2002001-21-2-1-1−3−333-2-2112-1-100−3−33321100-1-1−3−33300000000
χ72222-2200-200-12-121133−3−3-2-2-1-1-2110033−3−321100-1-1−3−33300000000-2-2-22-2002001-21-2-1-1−3−33322112-1-100−3−333-2-1-1001133−3−300000000
χ73222-2200-200-12-1211−3−33322-1-1-21100−3−333-2-1-10011−3−33300000000-2-2-22-2002001-21-2-1-133−3−3-2-2112-1-10033−3−321100-1-133−3−300000000
χ74222-2200-200-12-1211−3−333-2-2-1-1-21100−3−33321100-1-133−3−300000000-2-2-22-2002001-21-2-1-133−3−322112-1-10033−3−3-2-1-10011−3−33300000000
χ752-220-2−i2i20−i2i222-2-200−i2i2−i2i22-22-2000−i2i2−i2i2−i2i202-2−i2i200−i2i2−i2i200000000-22-202i2−i20i2−i2-2-22200i2−i2i2−i2-22-22000i2−i2i2−i2i2−i20-22i2−i200i2−i2i2−i200000000
χ762-220-2−i2i20−i2i222-2-200−i2i2−i2i2-222-2000−i2i2−i2i2−i2i20-22i2−i200i2−i2i2−i200000000-22-202i2−i20i2−i2-2-22200i2−i2i2−i22-2-22000i2−i2i2−i2i2−i202-2−i2i200−i2i2−i2i200000000
χ772-220-2−i2i20−i2i2-121-23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-2-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230-11−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000-22-202i2−i20i2−i21-2-12−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-221-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ782-220-2−i2i20−i2i2-121-23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-22-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-1i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000-22-202i2−i20i2−i21-2-12−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-21-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ792-220-2−i2i20−i2i2-121-2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-2-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70-11−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000-22-202i2−i20i2−i21-2-123−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-221-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ802-220-2−i2i20−i2i2-121-2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000-22-202i2−i20i2−i21-2-123−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-21-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70-11−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ812-220-2i2−i20i2−i222-2-200i2−i2i2−i22-22-2000i2−i2i2−i2i2−i202-2i2−i200i2−i2i2−i200000000-22-202−i2i20−i2i2-2-22200−i2i2−i2i2-22-22000−i2i2−i2i2−i2i20-22−i2i200−i2i2−i2i200000000
χ822-220-2i2−i20i2−i222-2-200i2−i2i2−i2-222-2000i2−i2i2−i2i2−i20-22−i2i200−i2i2−i2i200000000-22-202−i2i20−i2i2-2-22200−i2i2−i2i22-2-22000−i2i2−i2i2−i2i202-2i2−i200i2−i2i2−i200000000
χ832-220-2i2−i20i2−i2-121-23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-2-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230-11i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000-22-202−i2i20−i2i21-2-12−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-221-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2301-1−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ842-220-2i2−i20i2−i2-121-23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-22-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2301-1−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000-22-202−i2i20−i2i21-2-12−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-21-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230-11i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ852-220-2i2−i20i2−i2-121-2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-2-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70-11i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000-22-202−i2i20−i2i21-2-123−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-221-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ701-1−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ862-220-2i2−i20i2−i2-121-2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-22-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ701-1−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000-22-202−i2i20−i2i21-2-123−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-21-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70-11i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ874444444444-2-2-2-2-2-2-2-2-2-20011-211-2-211110000000000000000000-4-4-4-4-4-4-4-4-4-4222222222200-1-12-1-122-1-1-1-10000000000000000000
χ8844444-4-44-4-4-2-2-2-2-2-222220011-21122-1-1-1-10000000000000000000-4-4-4-4-444-444222222-2-2-2-200-1-12-1-1-2-211110000000000000000000
χ89444-4400-4004-24-2-4-4000000-2-22220000000000000000000000000-4-4-44-400400-42-424400000022-2-2-20000000000000000000000000
χ90444-4400-400-2-2-2-2222323−23−2300112-1-100−3−3330000000000000000000-4-4-44-4004002222-2-2−23−23232300-1-1-2110033−3−30000000000000000000
χ91444-4400-400-2-2-2-222−23−23232300112-1-10033−3−30000000000000000000-4-4-44-4004002222-2-22323−23−2300-1-1-21100−3−3330000000000000000000
χ924-440-4−2i22i20−2i22i24-2-4200−2i22i2−2i22i200-22000i2−i2i2−i2i2−i20000000000000000000-44-4042i2−2i202i2−2i2-424-2002i2−2i22i2−2i2002-2000−i2i2−i2i2−i2i20000000000000000000
χ934-440-4−2i22i20−2i22i2-2-22223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23001-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000000-44-4042i2−2i202i2−2i222-2-2−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000000
χ944-440-4−2i22i20−2i22i2-2-222−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7001-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000000-44-4042i2−2i202i2−2i222-2-223−23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000000
χ954-440-42i2−2i202i2−2i24-2-42002i2−2i22i2−2i200-22000−i2i2−i2i2−i2i20000000000000000000-44-404−2i22i20−2i22i2-424-200−2i22i2−2i22i2002-2000i2−i2i2−i2i2−i20000000000000000000
χ964-440-42i2−2i202i2−2i2-2-22223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23001-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000000-44-404−2i22i20−2i22i222-2-2−23232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000000
χ974-440-42i2−2i202i2−2i2-2-222−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7001-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000000-44-404−2i22i20−2i22i222-2-223−232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000000
χ9866-36-366-3-3-300000000000000000000000000000000002020-10-10-6-63-63-6-63330000000000000000000000000000000000-20-201010
χ9966-36-366-3-3-30000000000000000000000000000000000-20-201010-6-63-63-6-633300000000000000000000000000000000002020-10-10
χ10066-36-3-6-6-333000000000000000000000000000000000020-20-1010-6-63-63663-3-30000000000000000000000000000000000-202010-10
χ10166-36-3-6-6-3330000000000000000000000000000000000-202010-10-6-63-63663-3-3000000000000000000000000000000000020-20-1010
χ1021212-6-12-600600000000000000000000000000000000000000000000-12-12612600-600000000000000000000000000000000000000000000
χ10312-12-606−6i26i203i2−3i2000000000000000000000000000000000000000000-121260-66i2−6i20−3i23i2000000000000000000000000000000000000000000
χ10412-12-6066i2−6i20−3i23i2000000000000000000000000000000000000000000-121260-6−6i26i203i2−3i2000000000000000000000000000000000000000000

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