Finite Group Databasebeta

← Group #13171954

Character table — Group #13171954

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222223336666666663336666666666666666666444436666666666644442444661212121212121212121212121212121212121212121244121212126661212121212121212122444121244446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-111111111-1-111111111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11-1-11
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111-1-1-1-111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-11111-111-1
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-111111-11-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-111-1-11-11-1-1-111-1-111-1-1
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-11111-11-11-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-1-111-1-1-1-111
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111-11-1-1-1-1-111-111-111-1-111-11-11
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-11-111111-1-11-1-1111-1-1111-11-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-111111-11-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-1-11-11-1-1-1-111-1-111
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-11111-11-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-11-1-1-1-1-1111-1-111111-1-11-11-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-111111-1-1-111-11111-1-1-11-11
χ1722222222-122-1-1222-12-1-122222-1-1-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-1000000220000222222-1-1-1-122-1-1-1-1-1-1-1-1000000000-1-1000-1-1-1-12200000000-100-1
χ1822222222-122-1-1222-12-1-122222-1-1-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-1000000-2-20000-2-22222-1-1-1-1-2-2-1-1-1-1-1-1-1-1000000000110001111-2-2000000001001
χ1922222222-122-1-1222-12-1-122222-1-1-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-100000022000022-2-2-2-211112211111111000000000-1-1000-1-1-1-1-2-2000000001001
χ2022222222-122-1-1222-12-1-122222-1-1-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-1000000-2-20000-2-2-2-2-2-21111-2-2111111110000000001100011112200000000-100-1
χ212222222-122222-1-1-1222-1-122-1-1222-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-100002200222200-1-1-1-1222200-1-1-1-1-1-1-1-1000000-1-1-100-1-1-1000000220000000-1-10
χ222222222-122222-1-1-1222-1-122-1-1222-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-10000-2-200-2-2-2-200-1-1-1-1222200-1-1-1-1-1-1-1-100000011100111000000-2-20000000110
χ232222222-122222-1-1-1222-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1000022002222001111-2-2-2-20011111111000000-1-1-100-1-1-1000000-2-20000000110
χ242222222-122222-1-1-1222-1-122-1-1222-1-1-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-10000-2-200-2-2-2-2001111-2-2-2-2001111111100000011100111000000220000000-1-10
χ25222222-122-1-1222222-1-12-1-1-12222-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-100000000-1-10000000022-1-1-1-12-1-1222-1-1-1-1-1-10000-1-100000000
χ26222222-122-1-1222222-1-12-1-1-12222-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111100000000110000000022-1-1-1-1-211-2-2-21111110000-1-100000000
χ27222222-122-1-1222222-1-12-1-1-12222-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-1-1-111000000001100000000-2-211112-1-1-2-22-1-1111100001100000000
χ28222222-122-1-1222222-1-12-1-1-12222-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2221111-1-100000000-1-100000000-2-21111-21122-211-1-1-1-100001100000000
χ292222-2-222-122-1-1222-12-1-12-2-2-2-211-1-1-1111122-1-12-122-2-2-111-2-2-1-1-111110000002-20000-2-222-2-2-1-11122-1-1-1-11111000000000-11000-1-1112-200000000-1001
χ302222-2-222-122-1-1222-12-1-12-2-2-2-211-1-1-1111122-1-12-122-2-2-111-2-2-1-1-11111000000-2200002222-2-2-1-111-2-2-1-1-1-111110000000001-100011-1-1-2200000000100-1
χ312222-2-222-122-1-1222-12-1-12-2-2-2-211-1-1-1111122-1-12-1-2-222-111-2-2-1-1-111110000002-20000-2-2-2-22211-1-1221111-1-1-1-1000000000-11000-1-111-2200000000100-1
χ322222-2-222-122-1-1222-12-1-12-2-2-2-211-1-1-1111122-1-12-1-2-222-111-2-2-1-1-11111000000-22000022-2-22211-1-1-2-21111-1-1-1-10000000001-100011-1-12-200000000-1001
χ332222-2-22-122222-1-1-1222-1-1-2-211-2-22-1-11111-1-122-1-122-2-2-1-2-211-1-1-1111100002-20022-2-200-1-11122-2-200-1-1-1-11111000000-1-1-1001110000002-20000000-110
χ342222-2-22-122222-1-1-1222-1-1-2-211-2-22-1-11111-1-122-1-122-2-2-1-2-211-1-1-111110000-2200-2-22200-1-11122-2-200-1-1-1-1111100000011100-1-1-1000000-2200000001-10
χ352222-2-22-122222-1-1-1222-1-1-2-211-2-22-1-11111-1-122-1-1-2-222-1-2-211-1-1-1111100002-20022-2-20011-1-1-2-222001111-1-1-1-1000000-1-1-100111000000-2200000001-10
χ362222-2-22-122222-1-1-1222-1-1-2-211-2-22-1-11111-1-122-1-1-2-222-1-2-211-1-1-111110000-2200-2-2220011-1-1-2-222001111-1-1-1-100000011100-1-1-10000002-20000000-110
χ372222-2-2-122-1-1222222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-1111122222-22-2-1-1111100000000-1-100000000-2-2-1-1-1-12-1-12-2-211-1-11100001100000000
χ382222-2-2-122-1-1222222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-111112222-22-2211-1-1-1-1000000001100000000-2-2-1-1-1-1-211-222-1-111-1-100001100000000
χ392222-2-2-122-1-1222222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-2-2-2-22-2-22-1-111-1-10000000011000000002211112-1-1-22-21111-1-10000-1-100000000
χ402222-2-2-122-1-1222222-1-12-111-2-2-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-2-2-2-2-222-211-1-11100000000-1-100000000221111-2112-22-1-1-1-1110000-1-100000000
χ4122-2-22-22222-2-2-22-2-22-22222-22-22-22-2-222-2-2-2-2-2-222000022-22-22-2-222-2-22i2i−2i−2i00000000000000000000000000002i−2i2i2i−2i−2i00000000000000002i−2i00000000
χ4222-2-22-22222-2-2-22-2-22-22222-22-22-22-2-222-2-2-2-2-2-222000022-22-22-2-222-2-2−2i−2i2i2i0000000000000000000000000000−2i2i−2i−2i2i2i0000000000000000−2i2i00000000
χ4322-2-22-2-122-11-2-22-2-221-12-1-112-22-2-1-2-222-2-21111-120000-1-11-11-111-1-1112i2i−2i−2i0000−i3i3−i3i33−3000000003−3000000002i−2i−i−iii0−i3i3000−i3i33−33−30000−ii00000000
χ4422-2-22-2-122-11-2-22-2-221-12-1-112-22-2-1-2-222-2-21111-120000-1-11-11-111-1-1112i2i−2i−2i0000i3−i3i3−i3−3300000000−33000000002i−2i−i−iii0i3−i3000i3−i3−33−330000−ii00000000
χ4522-2-22-2-122-11-2-22-2-221-12-1-112-22-2-1-2-222-2-21111-120000-1-11-11-111-1-111−2i−2i2i2i0000−i3i3−i3i3−3300000000−3300000000−2i2iii−i−i0−i3i3000−i3i3−33−330000i−i00000000
χ4622-2-22-2-122-11-2-22-2-221-12-1-112-22-2-1-2-222-2-21111-120000-1-11-11-111-1-111−2i−2i2i2i0000i3−i3i3−i33−3000000003−300000000−2i2iii−i−i0i3−i3000i3−i33−33−30000i−i00000000
χ4722-2-2-222222-2-2-22-2-22-2222-22-22-222-2-2-2-222-2-2-2-22200002-22-222-2-2-2-2222i2i−2i−2i0000000000000000000000000000−2i2i2i2i−2i−2i0000000000000000−2i2i00000000
χ4822-2-2-222222-2-2-22-2-22-2222-22-22-222-2-2-2-222-2-2-2-22200002-22-222-2-2-2-222−2i−2i2i2i00000000000000000000000000002i−2i−2i−2i2i2i00000000000000002i−2i00000000
χ4922-2-2-22-122-11-2-22-2-221-12-11-1-22-22-1-2-2-2-2221111-120000-11-11-1-11111-1-12i2i−2i−2i0000−i3i3i3−i3−33000000003−300000000−2i2i−i−iii0−i3i3000i3−i33−3−330000i−i00000000
χ5022-2-2-22-122-11-2-22-2-221-12-11-1-22-22-1-2-2-2-2221111-120000-11-11-1-11111-1-12i2i−2i−2i0000i3−i3−i3i33−300000000−3300000000−2i2i−i−iii0i3−i3000−i3i3−333−30000i−i00000000
χ5122-2-2-22-122-11-2-22-2-221-12-11-1-22-22-1-2-2-2-2221111-120000-11-11-1-11111-1-1−2i−2i2i2i0000−i3i3i3−i33−300000000−33000000002i−2iii−i−i0−i3i3000i3−i3−333−30000−ii00000000
χ5222-2-2-22-122-11-2-22-2-221-12-11-1-22-22-1-2-2-2-2221111-120000-11-11-1-11111-1-1−2i−2i2i2i0000i3−i3−i3i3−33000000003−3000000002i−2iii−i−i0i3−i3000−i3i33−3−330000−ii00000000
χ532-22-200222-2-22-2-22-2-22222000000-22-200002-22-2-2-2002i−2i20000-22-200002-22-20000000000002i−2i002i−2i0000002i2i−2i−2i002-22-2000000000000000000002i−2i0000
χ542-22-200222-2-22-2-22-2-22222000000-22-200002-22-2-2-2002i−2i20000-22-20000-22-220000000000002i−2i002i−2i0000002i2i−2i−2i00-22-2200000000000000000000−2i2i0000
χ552-22-200222-2-22-2-22-2-22222000000-22-200002-22-2-2-200−2i2i20000-22-200002-22-2000000000000−2i2i00−2i2i000000−2i−2i2i2i002-22-200000000000000000000−2i2i0000
χ562-22-200222-2-22-2-22-2-22222000000-22-200002-22-2-2-200−2i2i20000-22-20000-22-22000000000000−2i2i00−2i2i000000−2i−2i2i2i00-22-22000000000000000000002i−2i0000
χ572-2-2200222-22-22-2-22-2-2222000000-2-220000-22-22-2-22i−2i0020000-2-2200002i−2i−2i2i00000000002i−2i002i−2i00002i2i−2i−2i0000002i−2i−2i2i0000000000000000002-2000000
χ582-2-2200222-22-22-2-22-2-2222000000-2-220000-22-22-2-22i−2i0020000-2-220000−2i2i2i−2i00000000002i−2i002i−2i00002i2i−2i−2i000000−2i2i2i−2i000000000000000000-22000000
χ592-2-2200222-22-22-2-22-2-2222000000-2-220000-22-22-2-2−2i2i0020000-2-2200002i−2i−2i2i0000000000−2i2i00−2i2i0000−2i−2i2i2i0000002i−2i−2i2i000000000000000000-22000000
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χ624444444-2-244-2-2-2-2-2-24-21-244-2-2-2-2-2111111-2-2-2-2-21-4-4-4-41-2-2-2-21111111000000000000002222222200-1-1-1-1-1-1-1-100000000000000000000000000000000
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χ65444444-2-24-2-244-2-2-24-2-2-21-2-2-2-244-2-2-2-2-2-2-211-2-21-200001-2-211111111100004400-2-2-2-200000000000000000000000000-21100-211000000000000000000
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χ714444-4-4-2-24-2-244-2-2-24-2-2-212222-4-4-2-2-2222211-2-21-20000122-1-1111-1-1-1-100004-400-2-22200000000000000000000000000-211002-1-1000000000000000000
χ724444-4-4-2-24-2-244-2-2-24-2-2-212222-4-4-2-2-2222211-2-21-20000122-1-1111-1-1-1-10000-440022-2-2000000000000000000000000002-1-100-211000000000000000000
χ7344-4-44-444-24-4224-4-4-2-4-2-244-44-4-22-222-2-222-4-4224-20000-2-224-4-222-2-2220000000000000000000000000000000000000000000000000000000000000000
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χ1054-4-44004-2-2-442-222-22-4-21-20000002-11-333-32-22-22-14i−4i0010000-1-11-333-300000000000000−2i2i00−2i2i0000ii−i−i−3i3i3i−3i00000000000000000000000000000000
χ1064-4-44004-2-2-442-222-22-4-21-20000002-11-333-32-22-22-1−4i4i0010000-1-11-333-3000000000000002i−2i002i−2i0000−i−iii3i−3i−3i3i00000000000000000000000000000000
χ1074-4-4400-2442-2-44-4-44-42-24-20000002-4400002-22-22-40000-2000022-200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1084-4-4400-2442-2-44-4-44-42-24-20000002-4400002-22-22-40000-2000022-20000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000000
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χ1208-8-8800-4-4-44-44-444-444222000000-2-22-666-6-22-22-2-20000-1000011-13-3-330000000000000000000000000000000000000000000000000000000000000000

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