Finite Group Databasebeta

← Group #13162010

Character table — Group #13162010

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order122233344666666666333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212124412121212444888812121212121224242424242424244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111111-111-1-1
χ92222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000222222-2000000-2-2000000000000000000
χ102222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2200000022000000000000000000
χ11222222-1222222-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12220000-1-1-1-1-1-100000000000000
χ12222222-1222222-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2000011111100000000000000
χ13222222-1222222-1-122-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-2111111111111111122-1-1-1-12-2-20000-1-1111100000000000000
χ14222222-1222222-1-122-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-21111-222000011-1-1-1-100000000000000
χ15222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211−i3−i3i3i3-2-20000-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i322-1-1-1-1-200000011−i3−i3i3i300000000000000
χ16222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211−i3−i3i3i3-2-20000-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211112000000-1-1i3i3−i3−i300000000000000
χ17222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211i3i3−i3−i3-2-20000-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i322-1-1-1-1-200000011i3i3−i3−i300000000000000
χ18222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211i3i3−i3−i3-2-20000-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211112000000-1-1−i3−i3i3i300000000000000
χ1922222-12222-12-1222-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-12222222-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000220000000000-1-1-1-10200-1-1
χ2022222-12222-12-1222-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-12222222-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000-2-2000000000011110-20011
χ2122222-12222-12-1222-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-122-2-2-2-22-1-2-211-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000000220000000000-1-1-1-10-20011
χ2222222-12222-12-1222-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-122-2-2-2-22-1-2-211-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000000-2-2000000000011110200-1-1
χ232222-12222-12-1222-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000002200000000-1-1-1-1000020-1-100
χ242222-12222-12-1222-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000-2-20000000011110000-201100
χ252222-12222-12-1222-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-1211-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-211110000000002200000000-1-1-1-10000-201100
χ262222-12222-12-1222-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-1211-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-21111000000000-2-2000000001111000020-1-100
χ2722-2-22222-2-2-2222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-222222222-22-22-2-2-22-22-22-22-22-222-2-222-2-22-22-222-2-22-22-222-2-2000000000000000000000000000000000
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χ2922-2-2222-22-2-2222-2-2-2-22222200-2-2-2-2-2-2-2-2-2-222222-2-2-220000220000-22-22-22-2-2220000000000000000000000000002i−2i0000002i−2i2i−2i00000000000000
χ3022-2-2222-22-2-2222-2-2-2-22222200-2-2-2-2-2-2-2-2-2-222222-2-2-220000220000-22-22-22-2-222000000000000000000000000000−2i2i000000−2i2i−2i2i00000000000000
χ3122-2-222-12-2-2-222-11-2-212-1-1-1-12-2-2-2111111112-1-1-1-122-11-11-11-2-22-22-22-2-11-11-1-11122-2-2-11-11-1-111-11-11-1-1110033−3−300000003−33−3−3300000000000000
χ3222-2-222-12-2-2-222-11-2-212-1-1-1-12-2-2-2111111112-1-1-1-122-11-11-11-2-22-22-22-2-11-11-1-11122-2-2-11-11-1-111-11-11-1-11100−3−3330000000−33−333−300000000000000
χ3322-2-222-12-2-2-222-11-2-212-1-1-1-1-22-2-2111111112-1-1-1-122-111-11-1-2-2-22-222-2-11-11-1-111-2-2221-11-111-1-11-11-111-1-10033−3−300000003−3−333−300000000000000
χ3422-2-222-12-2-2-222-11-2-212-1-1-1-1-22-2-2111111112-1-1-1-122-111-11-1-2-2-22-222-2-11-11-1-111-2-2221-11-111-1-11-11-111-1-100−3−3330000000−333−3−3300000000000000
χ3522-2-222-1-22-2-222-11-2-212-1-1-1-100-2-2111111112-1-1-1-1-2-21-1−i3i3i3−i3220000-221-11-111-1-10000−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i30033−3−302i−2i0000−33−ii−ii00000000000000
χ3622-2-222-1-22-2-222-11-2-212-1-1-1-100-2-2111111112-1-1-1-1-2-21-1−i3i3i3−i3220000-221-11-111-1-10000−i3i3−i3i3−i3−i3i3i3i3−i3i3−i3i3i3−i3−i300−3−3330−2i2i00003−3i−ii−i00000000000000
χ3722-2-222-1-22-2-222-11-2-212-1-1-1-100-2-2111111112-1-1-1-1-2-21-1i3−i3−i3i3220000-221-11-111-1-10000i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i30033−3−30−2i2i0000−33i−ii−i00000000000000
χ3822-2-222-1-22-2-222-11-2-212-1-1-1-100-2-2111111112-1-1-1-1-2-21-1i3−i3−i3i3220000-221-11-111-1-10000i3−i3i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i300−3−33302i−2i00003−3−ii−ii00000000000000
χ3922-2-22-122-2-212-12-2-21-2-12-1-1-12-211-2-2111111-12-1-1-12-12-22-22-2-212-2-11-112-2-11-1-111-1-1112-2-11-1-1112-2-11-1-1110000000000000000000000033−3−300003−3
χ4022-2-22-122-2-212-12-2-21-2-12-1-1-12-211-2-2111111-12-1-1-12-12-22-22-2-212-2-11-112-2-11-1-111-1-1112-2-11-1-1112-2-11-1-11100000000000000000000000−3−3330000−33
χ4122-2-22-122-2-212-12-2-21-2-12-1-1-1-2211-2-2111111-12-1-1-12-12-2-22-22-21-221-1-112-2-11-1-11111-1-1-221-111-1-1-221-111-1-10000000000000000000000033−3−30000−33
χ4222-2-22-122-2-212-12-2-21-2-12-1-1-1-2211-2-2111111-12-1-1-12-12-2-22-22-21-221-1-112-2-11-1-11111-1-1-221-111-1-1-221-111-1-100000000000000000000000−3−33300003−3
χ4322-2-2-1222-21-2-122-21-2-2-1-12-1-12-21111-2-21111-1-12-1-1-122-22-22-21-2-112-2-11-112-2-1-111-1-111-112-2-1-111-112-2-1-111000000000000000000033−3−30000003−300
χ4422-2-2-1222-21-2-122-21-2-2-1-12-1-12-21111-2-21111-1-12-1-1-122-22-22-21-2-112-2-11-112-2-1-111-1-111-112-2-1-111-112-2-1-1110000000000000000000−3−333000000−3300
χ4522-2-2-1222-21-2-122-21-2-2-1-12-1-1-221111-2-21111-1-12-1-1-122-2-22-221-21-1-22-11-112-2-1-11111-1-11-1-2211-1-11-1-2211-1-1000000000000000000033−3−3000000−3300
χ4622-2-2-1222-21-2-122-21-2-2-1-12-1-1-221111-2-21111-1-12-1-1-122-2-22-221-21-1-22-11-112-2-1-11111-1-11-1-2211-1-11-1-2211-1-10000000000000000000−3−3330000003−300
χ472-2-22222002-2-2-2-2-2-22222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i2i−2i0002−2−i2i20000002−22−2−i2i2−i2i2000000
χ482-2-22222002-2-2-2-2-2-22222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i2i−2i000−22i2−i2000000−22−22i2−i2i2−i2000000
χ492-2-22222002-2-2-2-2-2-22222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i−2i2i0002−2i2−i20000002−22−2i2−i2i2−i2000000
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χ5144444-24-4-44-24-2444-24-24-2-2-200-2-244-2-2-2-2-2-2-24-2-2-2-42-4-40000-42000022-4-422222200000000000000000000000000000000000000000000000000000
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χ564444-244-4-4-24-2444-244-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-22-4-4-400002-400002222-4-4222200000000000000000000000000000000000000000000000000000
χ574444-24-244-24-24-2-2-24-2-21-21144-2-211-2-21111-21-211-24-2-2-2-2-2-2-24-2-244-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000000000
χ584444-24-244-24-24-2-2-24-2-21-211-4-4-2-211-2-21111-21-211-24-2-22222-2422-4-4-2-211-2-211112222-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000
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χ634444-2-24-4-4-2-2-2-244-2-241-2-2110011-2-2-2-211111-2-21122-4-40000220000-1-12222-1-1-1-13-33-300003-33-300003-33-3000000000000000000000000000000000
χ644444-2-24-4-4-2-2-2-244-2-241-2-2110011-2-2-2-211111-2-21122-4-40000220000-1-12222-1-1-1-1-33-330000-33-330000-33-33000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3211111111−1−3i32−1+3i32−1−3i32−1+3i321111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3211111111−1+3i32−1−3i32−1+3i32−1−3i321111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ694444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222−2i3−2i32i32i3220000-1-1-1-1-1-11+3i321−3i321+3i321−3i323-33-3i3i3i3i3−3−i323−i32−3−i323−i32−i3−i3−i3−i3−3+i323+i32−3+i323+i32000000000000000000000000000000000
χ704444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222i32i3−2i3−2i3220000-1-1-1-1-1-11+3i321−3i321+3i321−3i32-33-33−i3−i3−i3−i33+i32−3+i323+i32−3+i32i3i3i3i33−i32−3−i323−i32−3−i32000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222−2i3−2i32i32i3220000-1-1-1-1-1-11−3i321+3i321−3i321+3i32-33-33i3i3i3i33−i32−3−i323−i32−3−i32−i3−i3−i3−i33+i32−3+i323+i32−3+i32000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222i32i3−2i3−2i3220000-1-1-1-1-1-11−3i321+3i321−3i321+3i323-33-3−i3−i3−i3−i3−3+i323+i32−3+i323+i32i3i3i3i3−3−i323−i32−3−i323−i32000000000000000000000000000000000
χ7344-4-44-24-44-424-24-4-42-4-24-2-2-20022-4-4222222-24-2-2-2-42-4400004-200002-2-442-222-2-200000000000000000000000000000000000000000000000000000
χ7444-4-44-2-24-4-424-2-22-422-2-21114-42222-1-1-1-1-1-1-2-21114-2-22-22-22-424-4-22-22-221-111-1-1-2-222-221-111-1-1-221-111-1-1000000000000000000000000000000000
χ7544-4-44-2-24-4-424-2-22-422-2-2111-442222-1-1-1-1-1-1-2-21114-2-222-22-2-42-442-2-22-221-111-1-122-2-22-2-11-1-1112-2-11-1-111000000000000000000000000000000000
χ7644-4-44-2-2-44-424-2-22-422-2-2111002222-1-1-1-1-1-1-2-2111-422-2−2i32i32i3−2i34-200002-22-2-11-1-1110000−2i32i3i3−i3i3i3−i3−i32i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000
χ7744-4-44-2-2-44-424-2-22-422-2-2111002222-1-1-1-1-1-1-2-2111-422-22i3−2i3−2i32i34-200002-22-2-11-1-11100002i3−2i3−i3i3−i3−i3i3i3−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000
χ7844-4-4-244-442-4-244-42-4-4-2-24-2-2002222-4-42222-2-24-2-22-4-440000-2400002-22-2-4422-2-200000000000000000000000000000000000000000000000000000
χ7944-4-4-24-24-42-4-24-222-42-21-2114-422-1-122-1-1-1-1-21-211-24-22-22-222-4-224-4-221-1-2211-1-1-2-2221-1-2211-1-11-1-2211-1-1000000000000000000000000000000000
χ8044-4-4-24-24-42-4-24-222-42-21-211-4422-1-122-1-1-1-1-21-211-24-222-22-22-42-2-44-221-1-2211-1-122-2-2-112-2-1-111-112-2-1-111000000000000000000000000000000000
χ8144-4-4-24-2-442-4-24-222-42-21-2110022-1-122-1-1-1-1-21-2112-42-2−2i32i32i3−2i3-2400002-2-112-2-1-1110000i3−i3−2i32i3i3i3−i3−i3−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ8244-4-4-24-2-442-4-24-222-42-21-2110022-1-122-1-1-1-1-21-2112-42-22i3−2i3−2i32i3-2400002-2-112-2-1-1110000−i3i32i3−2i3−i3−i3i3i3i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ8344-4-4-2-244-422-2-24-422-41-2-2114-4-1-12222-1-1-1-11-2-211-2-24-44-44-422-22-221-1-22-2211-1-111-1-1-22-2211-1-1-22-2211-1-1000000000000000000000000000000000
χ8444-4-4-2-244-422-2-24-422-41-2-211-44-1-12222-1-1-1-11-2-211-2-24-4-44-44222-22-21-1-22-2211-1-1-1-1112-22-2-1-1112-22-2-1-111000000000000000000000000000000000
χ8544-4-4-2-24-4422-2-24-422-41-2-21100-1-12222-1-1-1-11-2-21122-440000-2-20000-112-22-2-1-1113-3-3300003-3-3300003-3-33000000000000000000000000000000000
χ8644-4-4-2-24-4422-2-24-422-41-2-21100-1-12222-1-1-1-11-2-21122-440000-2-20000-112-22-2-1-111-333-30000-333-30000-333-3000000000000000000000000000000000
χ8744-4-4-2-2-24-422-2-2-22222111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2-22-22-2222-22-221-11-11-1−1−3i32−1+3i321+3i321−3i3211-1-11-11-1−1−3i32−1+3i321+3i321−3i321-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ8844-4-4-2-2-24-422-2-2-22222111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2-222-22-2222-22-21-11-11-1−1−3i32−1+3i321+3i321−3i32-1-111-11-111+3i321−3i32−1−3i32−1+3i32-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ8944-4-4-2-2-24-422-2-2-22222111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2-22-22-2222-22-221-11-11-1−1+3i32−1−3i321−3i321+3i3211-1-11-11-1−1+3i32−1−3i321−3i321+3i321-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ9044-4-4-2-2-24-422-2-2-22222111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2-222-22-2222-22-21-11-11-1−1+3i32−1−3i321−3i321+3i32-1-111-11-111−3i321+3i32−1+3i32−1−3i32-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ9144-4-4-2-2-2-4422-2-2-22222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32222-2−2i32i32i3−2i3-2-20000-11-11-111+3i321−3i32−1−3i32−1+3i323-3-33i3−i3i3−i3−3−i323−i323+i32−3+i32−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000
χ9244-4-4-2-2-2-4422-2-2-22222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32222-22i3−2i3−2i32i3-2-20000-11-11-111+3i321−3i32−1−3i32−1+3i32-333-3−i3i3−i3i33+i32−3+i32−3−i323−i32i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000
χ9344-4-4-2-2-2-4422-2-2-22222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32222-2−2i32i32i3−2i3-2-20000-11-11-111−3i321+3i32−1+3i32−1−3i32-333-3i3−i3i3−i33−i32−3−i32−3+i323+i32−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000
χ9444-4-4-2-2-2-4422-2-2-22222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32222-22i3−2i3−2i32i3-2-20000-11-11-111−3i321+3i32−1+3i32−1−3i323-3-33−i3i3−i3i3−3+i323+i323−i32−3−i32i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000
χ954-44-444400-44-4-4-444-4-44444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-444-200-44-4-42-24-424-2-2-2-200-442-22-222-2-2-422220000000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ974-44-444-200-44-4-42-24-424-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ984-44-44-2400-4-2-42-4442-4-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000
χ994-44-44-2400-4-2-42-4442-4-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000
χ1004-44-4-24400242-4-44-2-4-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000006−6−660000000000
χ1014-44-4-24400242-4-44-2-4-4-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000−666−60000000000
χ1024-4-4444-2004-4-4-422-44-24-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000004i−4i−2i2i−2i2i000000000000000000000000000
χ1034-4-4444-2004-4-4-422-44-24-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000−4i4i2i−2i2i−2i000000000000000000000000000
χ1044-4-444-240042-42-4-4-4-24-24-2-2-200-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000000−2i22i20000000000i2−i2i2−i2000000
χ1054-4-444-240042-42-4-4-4-24-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000000002i2−2i20000000000−i2i2−i2i2000000
χ1064-4-44-24400-2-42-4-4-4244-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000000022−2200000000−22−220000000000
χ1074-4-44-24400-2-42-4-4-4244-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000000−2222000000002−22−20000000000
χ1088-88-88-4-400-8-4-844-4844-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-400484-84-4-4-84-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-48004-444-88-44-82-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-4444-4-444222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-4444-4-444222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-40084-8444-8-4-4-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-400-4-84-84448-4-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-4444-8-84-482-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-4444444-4-4222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-4444444-4-4222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).