Finite Group Databasebeta

← Group #13161971

Character table — Group #13161971

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181818181818181818181818363636363636363636363636727272727272727272
order12223334466666666633333666666666666666121212121212266666666666666666666666666121212121212121212124444888888881212121224242424242424242446612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11111-1-1
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-20000000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000000000000
χ11222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000200-1-10000
χ12222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000-200110000
χ13222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000-200110000
χ14222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000200-1-10000
χ15222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-21111111122-2-200000000-1-11100000000000−i3i30000
χ16222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211111111-2-2220000000011-1-100000000000i3−i30000
χ17222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-21111111122-2-200000000-1-11100000000000i3−i30000
χ18222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211111111-2-2220000000011-1-100000000000−i3i30000
χ1922222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000-1-1-1-10020000-1-1
χ2022222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000000111100-2000011
χ2122222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000000222200000000-1-1-1-100-2000011
χ2222222-122222-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-12-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000000-2-2-2-20000000011110020000-1-1
χ232222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-1000002000-1-100
χ242222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000111100000-20001100
χ252222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-10000222200000000-1-1-1-100000-20001100
χ262222-12222-1-122222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-122-12-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-10000-2-2-2-2000000001111000002000-1-100
χ2722-2-2222002-22-2-22-2-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000002-2−i2−i2i2i2−i2−i2i2i2002-2−i2−i2i2i2−i2−i2i2i2000000000
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χ332-22-222200-22-22-2-22-2-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000-2200−i2i2−i2i2i2−i2i2−i2-2200−i2i2−i2i2i2−i2i2−i2000000000
χ342-22-222200-22-22-2-22-2-222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000-2200i2−i2i2−i2−i2i2−i2i2-2200i2−i2i2−i2−i2i2−i2i2000000000
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χ372-2-22222-22-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-22200002-2-22000000002-2-220000000000000
χ382-2-22222-22-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-2220000-222-200000000-222-20000000000000
χ392-2-222-122-2-2-2112-2-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-112-2-11-1-111000000002-2-2200000000-111-10000000−i3i3
χ402-2-222-122-2-2-2112-2-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-112-2-11-1-11100000000-222-2000000001-1-110000000i3−i3
χ412-2-222-122-2-2-2112-2-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-112-2-11-1-111000000002-2-2200000000-111-10000000i3−i3
χ422-2-222-122-2-2-2112-2-22-1-12-1-1-111-2-2111111-12-1-1-12-221-2-1000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-112-2-11-1-11100000000-222-2000000001-1-110000000−i3i3
χ432-2-22-122-2211-2-22-2-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-20−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i31-11-1-2211-1-100002-2-2200000000-111-1000000000−i3i300
χ442-2-22-122-2211-2-22-2-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-20−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i31-11-1-2211-1-10000-222-2000000001-1-11000000000i3−i300
χ452-2-22-122-2211-2-22-2-2-12-1-12-1-11111-2-21111-1-12-1-1-2212-1-20i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i31-11-1-2211-1-100002-2-2200000000-111-1000000000i3−i300
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χ4744444-24-4-444-2-24444-2-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-2-4-4-42-4200000000000000000000000000022-4-4222222000000000000000000000000000000000
χ4844444-2-24444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-2-24-24-2444-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4944444-2-24444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-2-24-24-2-4-4-42222222222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ5044444-2-2-4-444-2-2-2-2-24-2-2-2111-2-2-2-2111111-2-211122-42-4200000−2i32i30000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i32222-1-1-1-1-1-1000000000000000000000000000000000
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χ534444-24-244-2-244-2-2-2-24-21-211-2-211-2-21111-21-211-2-2-24-244-2-244-2-2-2-2-2-211-2-2111111-2-21111-2-211-2-21111000000000000000000000000000000000
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χ574444-2-2444-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-21144-2-2-2-24-2-2-2-2441111-2-2-2-21111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ584444-2-2444-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-21144-2-2-2-2-42222-4-4-1-1-1-12222-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ594444-2-24-4-4-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-211-4-4222200000003-3-3300003-3-3300003-3-33-1-12222-1-1-1-1000000000000000000000000000000000
χ604444-2-24-4-4-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-211-4-422220000000-333-30000-333-30000-333-3-1-12222-1-1-1-1000000000000000000000000000000000
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χ624444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
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+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32111111−1+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+3i3222222200000−2i32i33-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
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+3i32222222000002i3−2i3-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
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+3i32−1−3i3222222200000−2i32i3-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
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+3i32−1−3i32222222000002i3−2i33-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ6944-4-444-2004-44-42-22-4-44-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000004-40000000000-2200000000000000000
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χ7344-4-4-24400-224-4-44-42-4-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000−2i2−2i22i22i200000000i2i2−i2−i20000000000000
χ7444-4-4-24400-224-4-44-42-4-2-24-2-2-22-224-4-2-22222-422000000000000000000000000000000000000000000000002i22i2−2i2−2i200000000−i2−i2i2i20000000000000
χ754-44-444-200-44-4422-2-4-44-2-2-2-2-442-22-222-2-2-4222200000000000000000000000000000000000000000004-40000000000-220000000000000000000
χ764-44-444-200-44-4422-2-4-44-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000-4400000000002-20000000000000000000
χ774-44-44-2400-442-2-4-44-42-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2000000000
χ784-44-44-2400-442-2-4-44-42-24-2-2-22-2-442-222-2-22-42220000000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2000000000
χ794-44-4-244002-2-44-4-442-4-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i20000000000000
χ804-44-4-244002-2-44-4-442-4-2-24-2-22-22-2-4422-2-222-422000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i20000000000000
χ814-4-4444-24-4-4-4-4-4-222444-2-2-2-2-4-4222222224-2-2-2-2-224-4-440000000000000000000000000004-4-22-22-2-222000000000000000000000000000000000
χ824-4-4444-2-44-4-4-4-4-222444-2-2-2-2-4-4222222224-2-2-2-22-2-444-4000000000000000000000000000-442-22-222-2-2000000000000000000000000000000000
χ834-4-444-24-44-4-4224-4-44-2-24-2-2-222-4-4222222-24-2-2-2-44-4-2420000000000000000000000000002-2-442-222-2-2000000000000000000000000000000000
χ844-4-444-2-24-4-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-2111-2242-4-2000−2i32i300−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3-22-221-111-1-1000000000000000000000000000000000
χ854-4-444-2-24-4-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-2111-2242-4-20002i3−2i3002i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3-22-221-111-1-1000000000000000000000000000000000
χ864-4-444-2-2-44-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-21112-2-4-24200000000000003-333-3-300-33-3-3332-22-2-11-1-111000000000000000000000000000000000
χ874-4-444-2-2-44-4-422-2224-2-2-21112222-1-1-1-1-1-1-2-21112-2-4-2420000000000000-33-3-333003-333-3-32-22-2-11-1-111000000000000000000000000000000000
χ884-4-44-2444-422-4-44-4-4-24-2-24-2-22222-4-42222-2-24-2-24-4-2-424000000000000000000000000000-22-224-4-2-222000000000000000000000000000000000
χ894-4-44-24-24-422-4-4-222-24-21-21122-1-122-1-1-1-1-21-211-22-2-424000000000003-3003-33-3-3300-33-33-221-1-2211-1-1000000000000000000000000000000000
χ904-4-44-24-24-422-4-4-222-24-21-21122-1-122-1-1-1-1-21-211-22-2-42400000000000-3300-33-333-3003-33-3-221-1-2211-1-1000000000000000000000000000000000
χ914-4-44-24-2-4422-4-4-222-24-21-21122-1-122-1-1-1-1-21-2112-224-2-40−2i32i30000−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i32-2-112-2-1-111000000000000000000000000000000000
χ924-4-44-24-2-4422-4-4-222-24-21-21122-1-122-1-1-1-1-21-2112-224-2-402i3−2i300002i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i32-2-112-2-1-111000000000000000000000000000000000
χ934-4-44-2-244-422224-4-4-2-21-2-211-1-12222-1-1-1-11-2-2114-4-222-2000−2i32i300i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i31-1-22-2211-1-1000000000000000000000000000000000
χ944-4-44-2-244-422224-4-4-2-21-2-211-1-12222-1-1-1-11-2-2114-4-222-20002i3−2i300−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i31-1-22-2211-1-1000000000000000000000000000000000
χ954-4-44-2-24-4422224-4-4-2-21-2-211-1-12222-1-1-1-11-2-211-442-2-220−2i32i30000i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3-112-22-2-1-111000000000000000000000000000000000
χ964-4-44-2-24-4422224-4-4-2-21-2-211-1-12222-1-1-1-11-2-211-442-2-2202i3−2i30000−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3-112-22-2-1-111000000000000000000000000000000000
χ974-4-44-2-2-24-42222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-2000−2i32i300i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ984-4-44-2-2-24-42222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-20002i3−2i300−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ994-4-44-2-2-24-42222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-2000−2i32i300i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ1004-4-44-2-2-24-42222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-20002i3−2i300−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ1014-4-44-2-2-2-442222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-220−2i32i30000i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ1024-4-44-2-2-2-442222-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-2202i3−2i30000−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ1034-4-44-2-2-2-442222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-220−2i32i30000i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ1044-4-44-2-2-2-442222-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-2202i3−2i30000−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ10588-8-88-4-4008-8-444-44-84-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-448-84-444-8-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4800-44-44-88-8442-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-44-444-4444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-400-44-444-4444222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-400-884-444-4-84-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-4004-4-8844-44-8-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48004-44-4-8-88442-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4004-44-444-444222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4004-44-444-444222−1+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).