Finite Group Databasebeta

← Group #13162004

Character table — Group #13162004

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181818181818181818181818363636363636363636363636727272727272727272
order1222333446666666663333366666666666666612121212121241212121212121212121212121212121212121212121212121212121212121212121212122244888888886612122424242424242424444121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-111
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-20000000000000000000022-2-20000000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-22200000000-2-22200000000000000000
χ11222222-122222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000020-1-10000
χ12222222-122222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111000000000-20110000
χ13222222-122222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111222200000000-1-1-1-1000000000-20110000
χ14222222-122222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1222-2-2-211-2-222-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-2-2-200000000111100000000020-1-10000
χ15222222-1-2-2222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000−i3i300-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i322-2-200000000-1-11100000000000−i3i30000
χ16222222-1-2-2222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000−i3i300-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-2220000000011-1-100000000000i3−i30000
χ17222222-1-2-2222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000i3−i300-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i322-2-200000000-1-11100000000000i3−i30000
χ18222222-1-2-2222-12-12-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-211-2-2-2000i3−i300-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-2220000000011-1-100000000000−i3i30000
χ1922222-122222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000-1-1-1-100200-1-100
χ2022222-122222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000000111100-2001100
χ2122222-122222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12-211-2-2-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000222200000000-1-1-1-100-2001100
χ2222222-122222-12-12-122-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1222-12-211-2-2-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-211111100000000-2-2-2-200000000111100200-1-100
χ232222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-100002000000-1-1
χ242222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-20000000011110000-200000011
χ252222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-1111111-2-2111111-2-211110000222200000000-1-1-1-10000-200000011
χ262222-12222-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-12-1-2-2-2-2-211-1-1-1-122-1-1-1-1111111-2-2111111-2-211110000-2-2-2-200000000111100002000000-1-1
χ2722-2-2222002-222-2-2-2-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-20022−2−222−2−22-20022−2−222−2−2000000000
χ2822-2-2222002-222-2-2-2-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-200−2−222−2−2222-200−2−222−2−222000000000
χ2922-2-2222002-222-2-2-2-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-220022−2−2−2−222-220022−2−2−2−222000000000
χ3022-2-2222002-222-2-2-2-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-2200−2−22222−2−2-2200−2−22222−2−2000000000
χ312-22-22222-2-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2-2-22222222-22-2-200000002-22-22-222-2-200000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i000000000
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χ332-22-2222-22-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-22-2220000000-22-22-22-2-2220000000000000000000000002-22-2000000002-22-20000000000000
χ342-22-2222-22-2-2-2-222-2-2222222-2-2-2-2-2-2-2-2-2-222222-2-22-2220000000-22-22-22-2-222000000000000000000000000-22-2200000000-22-220000000000000
χ352-22-22-122-2-2-21-2-121-22-12-1-1-111-2-2111111-12-1-1-1-12-221-20−i3i30000-112-2-11-1-111−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000002i−2i2i−2i00000000−ii−ii000003−300
χ362-22-22-122-2-2-21-2-121-22-12-1-1-111-2-2111111-12-1-1-1-12-221-20−i3i30000-112-2-11-1-111−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300000000−2i2i−2i2i00000000i−ii−i00000−3300
χ372-22-22-122-2-2-21-2-121-22-12-1-1-111-2-2111111-12-1-1-1-12-221-20i3−i30000-112-2-11-1-111i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000002i−2i2i−2i00000000−ii−ii00000−3300
χ382-22-22-122-2-2-21-2-121-22-12-1-1-111-2-2111111-12-1-1-1-12-221-20i3−i30000-112-2-11-1-111i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300000000−2i2i−2i2i00000000i−ii−i000003−300
χ392-22-2-122-2211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-1-2-2212-100000−i3i31-11-1-2211-1-1−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300002-22-200000000-11-1100000000000−i3i3
χ402-22-2-122-2211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-1-2-2212-100000−i3i31-11-1-2211-1-1−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i30000-22-22000000001-11-100000000000i3−i3
χ412-22-2-122-2211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-1-2-2212-100000i3−i31-11-1-2211-1-1i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300002-22-200000000-11-1100000000000i3−i3
χ422-22-2-122-2211-2-222-2-2-1-1-12-1-11111-2-21111-1-12-1-1-2-2212-100000i3−i31-11-1-2211-1-1i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i30000-22-22000000001-11-100000000000−i3i3
χ432-2-2222200-22-2-2-2-222-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000002i−2i2−2−22−i2i2i2−i2002i−2i2−2−22−i2i2i2−i2000000000
χ442-2-2222200-22-2-2-2-222-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000002i−2i−222−2i2−i2−i2i2002i−2i−222−2i2−i2−i2i2000000000
χ452-2-2222200-22-2-2-2-222-222222-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000000−2i2i2−2−22i2−i2−i2i200−2i2i2−2−22i2−i2−i2i2000000000
χ462-2-2222200-22-2-2-2-222-222222-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000000−2i2i−222−2−i2i2i2−i200−2i2i−222−2−i2i2i2−i2000000000
χ4744444-24-4-444-24-24-244-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-22-4-4-42-4000000022-4-422222200000000000000000000000000000000000000000000000000000
χ4844444-2-24444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111-2-2-24-244-2-2-2-244-2-2-2-2111111-2-2-2-2-2-2111111-2-2111111000000000000000000000000000000000
χ4944444-2-24444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111-2-2-24-24-42222-4-4-2-2-2-2111111222222-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000
χ5044444-2-2-4-444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111222-42-4000−2i32i3002222-1-1-1-1-1-10000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000000000
χ5144444-2-2-4-444-2-2-2-2-2-24-2-2111-2-2-2-2111111-2-2111222-42-40002i3−2i3002222-1-1-1-1-1-100002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000000000
χ524444-244-4-4-2-2444444-2-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-2-4-4-42-4200000002222-4-4222200000000000000000000000000000000000000000000000000000
χ534444-24-244-2-24-24-24-2-2-21-211-2-211-2-21111-21-2114-2-2-24-2444-2-2-2-2-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000000000
χ544444-24-244-2-24-24-24-2-2-21-211-2-211-2-21111-21-2114-2-2-24-2-4-4-42222-2-211-2-211112222-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000
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χ574444-2-2444-2-2-24-24-24-21-2-21111-2-2-2-211111-2-211-244-2-2-24-2-244-2-211-2-2-2-211111111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000
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χ594444-2-24-4-4-2-2-24-24-24-21-2-21111-2-2-2-211111-2-2112-4-42220000000-1-12222-1-1-1-13-3-3300003-3-3300003-3-33000000000000000000000000000000000
χ604444-2-24-4-4-2-2-24-24-24-21-2-21111-2-2-2-211111-2-2112-4-42220000000-1-12222-1-1-1-1-333-30000-333-30000-333-3000000000000000000000000000000000
χ614444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000000000000
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χ634444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000000000000
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χ654444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222000−2i32i300-1-1-1-1-1-11+3i321−3i321+3i321−3i323-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000000000000
χ664444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222220002i3−2i300-1-1-1-1-1-11+3i321−3i321+3i321−3i32-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32000000000000000000000000000000000
χ674444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222000−2i32i300-1-1-1-1-1-11−3i321+3i321−3i321+3i32-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000000000000
χ684444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222220002i3−2i300-1-1-1-1-1-11−3i321+3i321−3i321+3i323-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32000000000000000000000000000000000
χ6944-4-444-2004-44-2-42-42-44-2-2-2-24-4-22-22-2-222-4222200000000000000000000000000000000000000000004-40000000000-220000000000000000000
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χ7444-4-4-24400-2244-4-4-4-42-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000−22−2222220000000022−2−20000000000000
χ754-44-444-24-4-4-4-424-2-4244-2-2-2-2-4-4222222224-2-2-2-24-224-4-400000004-4-22-22-2-22200000000000000000000000000000000000000000000000000000
χ764-44-444-2-44-4-4-424-2-4244-2-2-2-2-4-4222222224-2-2-2-2-42-2-4440000000-442-22-222-2-200000000000000000000000000000000000000000000000000000
χ774-44-44-24-44-4-42-4-242-44-24-2-2-222-4-4222222-24-2-2-22-44-4-2400000002-2-442-222-2-200000000000000000000000000000000000000000000000000000
χ784-44-44-2-24-4-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-2111-2-2242-40−2i32i30000-22-221-111-1-1−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000000000000000000000000000000
χ794-44-44-2-24-4-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-2111-2-2242-402i3−2i30000-22-221-111-1-12i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000000000000000000000000000000
χ804-44-44-2-2-44-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-211122-2-4-2400000002-22-2-11-1-1110000003-333-3-300-33-3-333000000000000000000000000000000000
χ814-44-44-2-2-44-4-422-2-2224-2-21112222-1-1-1-1-1-1-2-211122-2-4-2400000002-22-2-11-1-111000000-33-3-333003-333-3-3000000000000000000000000000000000
χ824-44-4-2444-422-4-444-4-4-2-2-24-2-22222-4-42222-2-24-2-244-4-2-420000000-22-224-4-2-22200000000000000000000000000000000000000000000000000000
χ834-44-4-24-24-422-424-2-42-2-21-21122-1-122-1-1-1-1-21-2114-22-2-420000000-221-1-2211-1-100003-3003-33-3-3300-33-33000000000000000000000000000000000
χ844-44-4-24-24-422-424-2-42-2-21-21122-1-122-1-1-1-1-21-2114-22-2-420000000-221-1-2211-1-10000-3300-33-333-3003-33-3000000000000000000000000000000000
χ854-44-4-24-2-4422-424-2-42-2-21-21122-1-122-1-1-1-1-21-211-42-224-200000−2i32i32-2-112-2-1-111−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000000000000000000000000000000
χ864-44-4-24-2-4422-424-2-42-2-21-21122-1-122-1-1-1-1-21-211-42-224-2000002i3−2i32-2-112-2-1-1112i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000000000000000000000000000000
χ874-44-4-2-244-4222-4-242-4-21-2-211-1-12222-1-1-1-11-2-211-24-4-2220−2i32i300001-1-22-2211-1-1i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000
χ884-44-4-2-244-4222-4-242-4-21-2-211-1-12222-1-1-1-11-2-211-24-4-22202i3−2i300001-1-22-2211-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000
χ894-44-4-2-24-44222-4-242-4-21-2-211-1-12222-1-1-1-11-2-2112-442-2-200000−2i32i3-112-22-2-1-111i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000000
χ904-44-4-2-24-44222-4-242-4-21-2-211-1-12222-1-1-1-11-2-2112-442-2-2000002i3−2i3-112-22-2-1-111−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000000
χ914-44-4-2-2-24-42222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-22-2220−2i32i300001-11-11-1−1−3i32−1+3i321+3i321−3i32i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000000000
χ924-44-4-2-2-24-42222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-22-22202i3−2i300001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000000000
χ934-44-4-2-2-24-42222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-22-2220−2i32i300001-11-11-1−1+3i32−1−3i321−3i321+3i32i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000000000
χ944-44-4-2-2-24-42222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-22-22202i3−2i300001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000000000
χ954-44-4-2-2-2-442222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-22-2-200000−2i32i3-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32000000000000000000000000000000000
χ964-44-4-2-2-2-442222-2-222-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-22-2-2000002i3−2i3-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32000000000000000000000000000000000
χ974-44-4-2-2-2-442222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-22-2-200000−2i32i3-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32000000000000000000000000000000000
χ984-44-4-2-2-2-442222-2-222-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-22-2-2000002i3−2i3-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32000000000000000000000000000000000
χ994-4-4444-200-44-42-424-2-44-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000004i−4i0000000000−2i2i00000000000000000
χ1004-4-4444-200-44-42-424-2-44-2-2-2-2-442-22-222-2-2-42222000000000000000000000000000000000000000000000−4i4i00000000002i−2i00000000000000000
χ1014-4-444-2400-442-42-4-24-4-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000i2−i2−i2i2000000000
χ1024-4-444-2400-442-42-4-24-4-24-2-2-22-2-442-222-2-22-42220000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000−i2i2i2−i2000000000
χ1034-4-44-244002-2-4-4-4-4442-2-24-2-22-22-2-4422-2-222-4220000000000000000000000000000000000000000000000022−22−222200000000−222−20000000000000
χ1044-4-44-244002-2-4-4-4-4442-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000−222222−22000000002−2−220000000000000
χ10588-8-88-4-4008-8-4-44444-8-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-448-4-84-844-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4800-44-484-84-842-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-44-4-444444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-400-44-4-444444222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-400-884444-4-4-8-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4004-4-84-848-44-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48004-44-84-8-4842-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4004-44444-4-44222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4004-44444-4-44222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000

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