Finite Group Databasebeta

← Group #13172114

Character table — Group #13172114

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666664412121212366666666666244441212121212121212121212121212121212122244446666121212121212121212122446666121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1
χ31111111111111111111111111111111111111111111111111111111111-11-111111111111111111111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-11-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-1-1-1-1-1-1-1-111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11-1-11-1-1-111-1-111-1-11111-1-1-1-111-1-1111111-11-1-1-1-111-1-1-1-1111-1-111-1-1111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-11-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-11-1-1-1-1-1111-11-1-111-1-111-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-111111-1-111-1-1-11111-1-1-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-11111-1-111-11-111-1-1-1-11111-11-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-11-111-1-11111-1-1-1-1-1-111111111-1-11111-11-1-1-1-111-1-1-11-111-1-1-1-111-1-1-111
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-11111-1-1-11111-1-111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1111-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-111111-1-11-11-1-111-1-111111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-1111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11-11111-1-111-1-1111-1-111-1-1-1-11-11
χ1722222222-1-1-1-12222222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1202220000002222000000002200002-1-1-1-1-1-12-1-1-1-1-1-1200-1-1-1-1000000000
χ1822222222-1-1-1-12222222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1202-2-2000000-2-2-2-200000000-2-200002-1-1-1-1112-1-11111-2001111000000000
χ1922222222-1-1-1-12222222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-20-222000000222200000000-2-20000-21111-1-1-211-1-1-1-1-2001111000000000
χ2022222222-1-1-1-12222222-1-12222-1-122-12222-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2000000-2-2-2-200000000220000-2111111-2111111200-1-1-1-1000000000
χ212222222-122222-1-1-122-12-122-1-122-1-12-1-1-1-1-1-122-1-1222222-122-1-1-1-1-1-1-1-1-12220022-1-1-1-10000-1-1-1-1-1-1-1-1000000-12-1-1200-1-1-100000220000000000-1-10
χ222222222-122222-1-1-122-12-122-1-122-1-12-1-1-1-1-1-122-1-1222222-122-1-1-1-1-1-1-1-1-1-22-20022-1-1-1-10000-1-1-1-1-1-1-1-10000001-211-20011100000-2-20000000000110
χ232222222-122222-1-1-122-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-12-2200-2-21111000011111111000000-12-1-1200-1-1-100000-2-20000000000110
χ242222222-122222-1-1-122-12-122-1-122-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2-200-2-211110000111111110000001-211-20011100000220000000000-1-10
χ25222222-122222-1222-1-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-102022-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000022000-1-1-1-10000000-1-1-1-100000
χ26222222-122222-1222-1-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1020-2-2-1-122221111-1-1-1-1-1-1-1-100-2-2-2-200000-2-200011110000000111100000
χ27222222-122222-1222-1-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-1-1-122-1-1-1-1-1-1-10-202211-2-2-2-2-1-1-1-11111111100-2-2-2-20000022000-1-1-1-10000000111100000
χ28222222-122222-1222-1-1-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-21111-1-1-122-1-1-1-1-1-1-10-20-2-211-2-2-2-211111111111100222200000-2-200011110000000-1-1-1-100000
χ292222-2-222-1-1-1-12222222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-1111120-22-200000022-2-2000000002200002-1-1-11-11-211-1-111-200-1-111000000000
χ302222-2-222-1-1-1-12222222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-1111120-2-22000000-2-22200000000-2-200002-1-1-111-1-21111-1-120011-1-1000000000
χ312222-2-222-1-1-1-12222222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-2022-200000022-2-200000000-2-20000-2111-1-112-1-1-1-11120011-1-1000000000
χ322222-2-222-1-1-1-12222222-1-1-2-2-2-21122-1-2-2-2-2-1-1-1-1-12000000-11111-1-1-11111-202-22000000-2-22200000000220000-2111-11-12-1-111-1-1-200-1-111000000000
χ332222-2-22-122222-1-1-122-12-1-2-211-2-2-1-121111-1-122-1-1222222-1-2-211-1-1-111112-2-200-2-2-1-1110000-1-1-1-11111000000-12-1-1-20011100000-220000000000-110
χ342222-2-22-122222-1-1-122-12-1-2-211-2-2-1-121111-1-122-1-1222222-1-2-211-1-1-11111-2-2200-2-2-1-1110000-1-1-1-111110000001-211200-1-1-1000002-200000000001-10
χ352222-2-22-122222-1-1-122-12-1-2-211-2-2-1-121111-1-122-1-1-2-2-2-2-2-2-1-2-211-1-1-1111122-2002211-1-100001111-1-1-1-1000000-12-1-1-200111000002-200000000001-10
χ362222-2-22-122222-1-1-122-12-1-2-211-2-2-1-121111-1-122-1-1-2-2-2-2-2-2-1-2-211-1-1-11111-222002211-1-100001111-1-1-1-10000001-211200-1-1-100000-220000000000-110
χ372222-2-2-122222-1222-1-1-1-1211-2-2-2-2-1-1-1111122-1-12-122-1-1-1-1-111-2-2-1-1-111110-202-21122-2-2-1-111-1-1-1-1111100-2-222000002-2000-1-1110000000-1-11100000
χ382222-2-2-122222-1222-1-1-1-1211-2-2-2-2-1-1-1111122-1-12-122-1-1-1-1-111-2-2-1-1-111110-20-221122-2-211-1-1-1-1-1-111110022-2-200000-2200011-1-1000000011-1-100000
χ392222-2-2-122222-1222-1-1-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-21111-111-2-2-1-1-111110202-2-1-1-2-222-1-1111111-1-1-1-10022-2-2000002-2000-1-111000000011-1-100000
χ402222-2-2-122222-1222-1-1-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-21111-111-2-2-1-1-11111020-22-1-1-2-22211-1-11111-1-1-1-100-2-22200000-2200011-1-10000000-1-11100000
χ4122-2-22-22222-2-222-2-2-2-22222-22-22-2-2-2222-2-2-2-2-2-22200000022-22-22-2-222-2-200000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i00000
χ4222-2-22-22222-2-222-2-2-2-22222-22-22-2-2-2222-2-2-2-2-2-22200000022-22-22-2-222-2-20000000000000000000000000−2i2i−2i2i000000000000000000000−2i2i−2i2i00000
χ4322-2-22-2-1222-2-2-12-2-211-1-12-112-22-211-1-1-111-2-2112-100−i3−i3i3i3-1-112-2-111-1-11100000−i3i300003−33−3−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i00000000003−33−30000000−ii−ii00000
χ4422-2-22-2-1222-2-2-12-2-211-1-12-112-22-211-1-1-111-2-2112-100−i3−i3i3i3-1-112-2-111-1-11100000−i3i30000−33−33−i3−i3i3i3−i3−i3i3i300−2i2i−2i2i0000000000−33−330000000i−ii−i00000
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χ4722-2-2-222222-2-222-2-2-2-2222-22-22-22-2-22-2-222-2-2-2-2220000002-22-222-2-2-2-22200000000000000000000000002i−2i−2i2i000000000000000000000−2i2i2i−2i00000
χ4822-2-2-222222-2-222-2-2-2-2222-22-22-22-2-22-2-222-2-2-2-2220000002-22-222-2-2-2-2220000000000000000000000000−2i2i2i−2i0000000000000000000002i−2i−2i2i00000
χ4922-2-2-22-1222-2-2-12-2-211-1-121-1-22-2211-111-1-1-2-2112-100−i3−i3i3i3-11-1-22-11111-1-100000i3−i300003−3−33−i3−i3i3i3i3i3−i3−i300−2i2i2i−2i00000000003−3−330000000−iii−i00000
χ5022-2-2-22-1222-2-2-12-2-211-1-121-1-22-2211-111-1-1-2-2112-100−i3−i3i3i3-11-1-22-11111-1-100000i3−i30000−333−3−i3−i3i3i3i3i3−i3−i3002i−2i−2i2i0000000000−333−30000000i−i−ii00000
χ5122-2-2-22-1222-2-2-12-2-211-1-121-1-22-2211-111-1-1-2-2112-100i3i3−i3−i3-11-1-22-11111-1-100000−i3i300003−3−33i3i3−i3−i3−i3−i3i3i3002i−2i−2i2i00000000003−3−330000000i−i−ii00000
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χ532-22-200222-22-2-2-22-22-22220000002-2-200002-22-2-2-22i−2i2i−2i2i−2i20000-22-2000000000002i−2i0000002i−2i2i−2i00002-20000000000000000000002-20000002i−2i000
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χ552-22-200222-22-2-2-22-22-22220000002-2-200002-22-2-2-2−2i2i−2i2i−2i2i20000-22-200000000000−2i2i000000−2i2i−2i2i00002-20000000000000000000002-2000000−2i2i000
χ562-22-200222-22-2-2-22-22-22220000002-2-200002-22-2-2-2−2i2i−2i2i−2i2i20000-22-200000000000−2i2i000000−2i2i−2i2i0000-22000000000000000000000-220000002i−2i000
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χ584444444-2-2-2-2-24-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-20000001-2-2111111111-40-40000000000000000000000000022-1-12002-1-100000000000000000000
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χ7444-4-44-4-24-2-222-24-4-422-21-2-224-4-22221-2-22222-1-1-2-200000011-1-221-1-111-1-100000000000−2323−23230000000000000000000000003−33−30000000000000000
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χ10988-8-8-88-4-4-4-444-4-444442224-44-44-4-2-22-2-222-2-2-2-222000000-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000000
χ1108-88-8008-4-44-44-84-448-8-4-42000000-44400002-2-44-2400000020000-22-2000000000000000000000000000000000000000000000000000000000000000
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χ1168-8-8800-4-4-444-4444-44-4222000000-22-26-6-66-22-22-2-2000000-1000011-1-333-300000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-4-444-4444-44-4222000000-22-2-666-6-22-22-2-2000000-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000

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