Finite Group Databasebeta

← Group #13161999

Character table — Group #13161999

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order122233344666666666333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122266664448888121212121212242424242424242424661212
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
χ11222222-122222-1-12-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12-12222222-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000002200000000-1-1-1-1000020-1-100
χ12222222-122222-1-12-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12-12222222-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20000000011110000-201100
χ13222222-122222-1-12-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-12-122-2-2-2-22-1-2-21122-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000000002200000000-1-1-1-10000-201100
χ14222222-122222-1-12-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-12-122-2-2-2-22-1-2-21122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000000000-2-2000000001111000020-1-100
χ1522222-12222-1-122222-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12220000-1-1-1-1-1-100000000000000
χ1622222-12222-1-122222-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2000011111100000000000000
χ1722222-12222-1-122222-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-1111122-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-211111111111122-1-1-1-12-2-20000-1-1111100000000000000
χ1822222-12222-1-122222-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-1111122-2-2-2-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-2-21111-222000011-1-1-1-100000000000000
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χ2122222-12-2-22-1-122222-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-1-2-211i3i3−i3−i3-2-2000011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322-1-1-1-1-200000011i3i3−i3−i300000000000000
χ2222222-12-2-22-1-122222-1-12-1-1-100-1-122-1-1-1-1-1-1-12-1-1-1-2-211i3i3−i3−i3-2-2000011-2-2111111i3i3−i3−i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-211112000000-1-1−i3−i3i3i300000000000000
χ232222-12222-12222-12-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000000220000000000-1-1-1-10200-1-1
χ242222-12222-12222-12-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100000000000-2-2000000000011110-20011
χ252222-12222-12222-12-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-1211-2-2-1-1-1-122-1-1-1-111111111-2-21111-2-2111100000000000220000000000-1-1-1-10-20011
χ262222-12222-12222-12-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-1211-2-2-1-1-1-122-1-1-1-111111111-2-21111-2-2111100000000000-2-2000000000011110200-1-1
χ272-22-222200-22-22-2-2-22-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-222-2-2000−i2i2−i2i2000000−i2−i2i2i2−i2−i2i2i2000000
χ282-22-222200-22-22-2-2-22-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-222-2-2000i2−i2i2−i2000000i2i2−i2−i2i2i2−i2−i2000000
χ292-22-222200-22-22-2-2-22-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-2-222000−i2i2i2−i2000000−i2−i2i2i2i2i2−i2−i2000000
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χ312-2-222222-2-2-2-2-2-222-222222200-2-2-2-2-2-2-2-2-2-222222-222-200002-200002-22-22-222-2-20000000000000000000000000002-20000002-22-200000000000000
χ322-2-222222-2-2-2-2-2-222-222222200-2-2-2-2-2-2-2-2-2-222222-222-200002-200002-22-22-222-2-2000000000000000000000000000-22000000-22-2200000000000000
χ332-2-22222-22-2-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-2-2222222-2-222-22-2-222-22-2-22-22-22-2-2222-22-222-2-22-222-2-22-222-2-2000000000000000000000000000000000
χ342-2-22222-22-2-2-2-2-222-2222222-22-2-2-2-2-2-2-2-2-2-2222222-2-22-22-22-22-22-22-22-22-22-2-222-22-22-2-222-22-2-222-22-2-222000000000000000000000000000000000
χ352-2-2222-1-22-2-2-2112-1-222-1-1-1-12-2-2-2111111112-1-1-1-121-222-22-2-2-12-2-11-221-11-111-1-12-22-2-1-111-11-1-111-11-1-1110000000000000000000−i3i3−i3i3000000−i3i300
χ362-2-2222-1-22-2-2-2112-1-222-1-1-1-12-2-2-2111111112-1-1-1-121-222-22-2-2-12-2-11-221-11-111-1-12-22-2-1-111-11-1-111-11-1-1110000000000000000000i3−i3i3−i3000000i3−i300
χ372-2-2222-1-22-2-2-2112-1-222-1-1-1-1-22-2-2111111112-1-1-1-121-22-22-22-2-1-221-1-221-11-111-1-1-22-2211-1-11-111-1-11-111-1-10000000000000000000−i3i3−i3i3000000i3−i300
χ382-2-2222-1-22-2-2-2112-1-222-1-1-1-1-22-2-2111111112-1-1-1-121-22-22-22-2-1-221-1-221-11-111-1-1-22-2211-1-11-111-1-11-111-1-10000000000000000000i3−i3i3−i3000000−i3i300
χ392-2-222-122-2-211-2-222-2-1-12-1-1-10011-2-2111111-12-1-1-1-22-11−i3i3i3−i32-20000-112-2-11-1-111−i3i3i3−i30000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i300−i3i3−i3i302-20000−i3i3-11-1100000000000000
χ402-2-222-122-2-211-2-222-2-1-12-1-1-10011-2-2111111-12-1-1-1-22-11−i3i3i3−i32-20000-112-2-11-1-111−i3i3i3−i30000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i300i3−i3i3−i30-220000i3−i31-11-100000000000000
χ412-2-222-122-2-211-2-222-2-1-12-1-1-10011-2-2111111-12-1-1-1-22-11i3−i3−i3i32-20000-112-2-11-1-111i3−i3−i3i30000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i300−i3i3−i3i30-220000−i3i31-11-100000000000000
χ422-2-222-122-2-211-2-222-2-1-12-1-1-10011-2-2111111-12-1-1-1-22-11i3−i3−i3i32-20000-112-2-11-1-111i3−i3−i3i30000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i300i3−i3i3−i302-20000i3−i3-11-1100000000000000
χ432-2-222-12-22-211-2-222-2-1-12-1-1-12-211-2-2111111-12-1-1-12-21-1-11-11-222-22-21-1-221-111-1-1-11-1122-2-2-11-1-111-11-1-11100−i3i3−i3i30000000i3−i3−i3i3i3−i300000000000000
χ442-2-222-12-22-211-2-222-2-1-12-1-1-12-211-2-2111111-12-1-1-12-21-1-11-11-222-22-21-1-221-111-1-1-11-1122-2-2-11-1-111-11-1-11100i3−i3i3−i30000000−i3i3i3−i3−i3i300000000000000
χ452-2-222-12-22-211-2-222-2-1-12-1-1-1-2211-2-2111111-12-1-1-12-21-11-11-1-22-22-221-1-221-111-1-11-11-1-2-2221-111-1-11-111-1-100−i3i3−i3i30000000i3−i3i3−i3−i3i300000000000000
χ462-2-222-12-22-211-2-222-2-1-12-1-1-1-2211-2-2111111-12-1-1-12-21-11-11-1-22-22-221-1-221-111-1-11-11-1-2-2221-111-1-11-111-1-100i3−i3i3−i30000000−i3i3−i3i3i3−i300000000000000
χ472-2-22-122-221-2-2-2-2-1212-1-12-1-12-21111-2-21111-1-12-1-1-1-2-222-22-212-112-21-11-1-2211-1-1-11-11-1-1112-2-1-1112-2-1-111000000000000000000000003−33−300003−3
χ482-2-22-122-221-2-2-2-2-1212-1-12-1-12-21111-2-21111-1-12-1-1-1-2-222-22-212-112-21-11-1-2211-1-1-11-11-1-1112-2-1-1112-2-1-11100000000000000000000000−33−330000−33
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χ51444444-2-4-4444-2-24-2444-2-2-2-20044-2-2-2-2-2-2-2-24-2-2-2-2-42-4-40000-420000-4-42222222200000000000000000000000000000000000000000000000000000
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χ564444-244-4-4-24444-24-24-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-22-4-4-400002-400002222-4-4222200000000000000000000000000000000000000000000000000000
χ574444-24-244-244-2-2-2-2-24-21-21144-2-211-2-21111-21-211-2-2444444-2-2-2-2-2-2-2-211-2-21111-2-2-2-21111-2-21111-2-21111000000000000000000000000000000000
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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+3i321111111111−1−3i32−1+3i32−1−3i32−1+3i3211−1+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+3i32-1-1-1-1-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-11−3i321+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+3i32−1−3i321111111111−1+3i32−1−3i32−1+3i32−1−3i3211−1−3i32−1+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+3i32−1−3i32-1-1-1-1-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-11+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+3i321−3i32i3i3−i3−i33-33-3i3i3−3−i323−i32−3−i323−i32−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−i3−i3i3i3-33-33−i3−i33+i32−3+i323+i32−3+i32i3i33−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+3i32i3i3−i3−i3-33-33i3i33−i32−3−i323−i32−3−i32−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+3i32−i3−i3i3i33-33-3−i3−i3−3+i323+i32−3+i323+i32i3i3−3−i323−i32−3−i323−i32000000000000000000000000000000000
χ7344-4-4444004-44-44-4-4-4-44444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-444-2004-442-2-42-4-44-2-2-2-200-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000006−6−660000000000
χ7544-4-444-2004-442-2-42-4-44-2-2-2-200-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000000000000−666−60000000000
χ7644-4-44-240042-2-44-4-4-42-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ7744-4-44-240042-2-44-4-4-42-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ7844-4-4-24400-2-44-442-42-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000000000i6−i6−i6i6000000
χ7944-4-4-24400-2-44-442-42-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000000000−i6i6i6−i6000000
χ804-44-444-200-44-4-22-424-44-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000000000000−2i22i200000000i2i2−i2−i20000000000
χ814-44-444-200-44-4-22-424-44-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000000000000002i2−2i200000000−i2−i2i2i20000000000
χ824-44-44-2400-4-224-4-4-442-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000004-4-2-222000000000000000000000000000
χ834-44-44-2400-4-224-4-4-442-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000-4422-2-2000000000000000000000000000
χ844-44-4-2440024-44-42-4-2-4-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000000000−2i22i20000000000i2i2−i2−i2000000
χ854-44-4-2440024-44-42-4-2-4-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000000002i2−2i20000000000−i2−i2i2i2000000
χ864-4-4444-24-4-4-4-4224-2-444-2-2-2-200-4-4222222224-2-2-2-2-4-24-400004200004-4-22-22-2-22200000000000000000000000000000000000000000000000000000
χ874-4-444-2-24-4-422224-2-4-2-2-2111002222-1-1-1-1-1-1-2-2111-4-2-22−2i32i32i3−2i3420000-22-221-111-1-1−2i32i32i3−2i30000i3−i3i3i3−i3−i3−i3i3−i3−i3i3i3000000000000000000000000000000000
χ884-4-444-2-24-4-422224-2-4-2-2-2111002222-1-1-1-1-1-1-2-2111-4-2-222i3−2i3−2i32i3420000-22-221-111-1-12i3−2i3−2i32i30000−i3i3−i3−i3i3i3i3−i3i3i3−i3−i3000000000000000000000000000000000
χ894-4-444-2-2-44-422224-2-4-2-2-21114-42222-1-1-1-1-1-1-2-2111422-2-22-22-4-24-4-222-22-2-11-1-111-22-22-2-2221-111-1-11-111-1-1000000000000000000000000000000000
χ904-4-444-2-2-44-422224-2-4-2-2-2111-442222-1-1-1-1-1-1-2-2111422-22-22-2-4-2-442-22-22-2-11-1-1112-22-222-2-2-11-1-111-11-1-111000000000000000000000000000000000
χ914-4-44-2444-42-4-4-4-4-2424-2-24-2-2002222-4-42222-2-24-2-2244-40000-2-40000-22-224-4-2-22200000000000000000000000000000000000000000000000000000
χ924-4-44-24-24-42-4-422-2-224-21-2110022-1-122-1-1-1-1-21-2112-24-40000-220000-221-1-2211-1-100003-3-33003-3-33003-3-33000000000000000000000000000000000
χ934-4-44-24-24-42-4-422-2-224-21-2110022-1-122-1-1-1-1-21-2112-24-40000-220000-221-1-2211-1-10000-333-300-333-300-333-3000000000000000000000000000000000
χ944-4-44-24-2-442-4-422-2-224-21-2114-422-1-122-1-1-1-1-21-211-22-444-44-42-2-22-222-2-112-2-1-111-22-2211-1-1-2211-1-1-2211-1-1000000000000000000000000000000000
χ954-4-44-24-2-442-4-422-2-224-21-211-4422-1-122-1-1-1-1-21-211-22-44-44-442-22-22-22-2-112-2-1-1112-22-2-1-1112-2-1-1112-2-1-111000000000000000000000000000000000
χ964-4-44-2-244-4222-4-4-242-21-2-21100-1-12222-1-1-1-11-2-21124-22−2i32i32i3−2i3-2-400001-1-22-2211-1-1i3−i3−i3i30000−2i32i3i3i3−i3−i32i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ974-4-44-2-244-4222-4-4-242-21-2-21100-1-12222-1-1-1-11-2-21124-222i3−2i3−2i32i3-2-400001-1-22-2211-1-1−i3i3i3−i300002i3−2i3−i3−i3i3i3−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ984-4-44-2-24-44222-4-4-242-21-2-2114-4-1-12222-1-1-1-11-2-211-2-42-2-22-2224-224-4-112-22-2-1-1111-11-1-2-222-2211-1-1-2211-1-1000000000000000000000000000000000
χ994-4-44-2-24-44222-4-4-242-21-2-211-44-1-12222-1-1-1-11-2-211-2-42-22-22-2242-2-44-112-22-2-1-111-11-1122-2-22-2-1-1112-2-1-111000000000000000000000000000000000
χ1004-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-2-22−2i32i32i3−2i3-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3−i3i33-3-33i3−i3−3−i323−i323+i32−3+i32−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000
χ1014-4-44-2-2-24-422222-2-22-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-2-222i3−2i3−2i32i3-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3i3−i3-333-3−i3i33+i32−3+i32−3−i323−i32i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000
χ1024-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-2-22−2i32i32i3−2i3-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3−i3i3-333-3i3−i33−i32−3−i32−3+i323+i32−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000
χ1034-4-44-2-2-24-422222-2-22-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-2-222i3−2i3−2i32i3-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3i3−i33-3-33−i3i3−3+i323+i323−i32−3−i32i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000
χ1044-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-222-2-22-222-2-22-22-11-11-111+3i321−3i32−1−3i32−1+3i321-11-111-1-11-1−1−3i32−1+3i321+3i321−3i321-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ1054-4-44-2-2-2-4422222-2-22-2111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-222-22-22-22-22-22-2-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-1-111-111+3i321−3i32−1−3i32−1+3i32-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ1064-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-222-2-22-222-2-22-22-11-11-111−3i321+3i32−1+3i32−1−3i321-11-111-1-11-1−1+3i32−1−3i321−3i321+3i321-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ1074-4-44-2-2-2-4422222-2-22-2111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-222-22-22-22-22-22-2-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-1-111-111−3i321+3i32−1+3i32−1−3i32-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ10888-8-88-4-40084-44-4-84-84-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-400-4-884-4444-8-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4800-44-4-884-8442-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-44-44-44444222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-400-44-44-44444222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-4-400-8-44-44-8484-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-48-40048-8-4444-4-8-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-48004-448-84-8-442-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-4004-44-4444-44222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-4004-44-4444-44222−1+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).