Finite Group Databasebeta

← Group #13172249

Character table — Group #13172249

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order12222233366666666633366666666666666666664412121212366666666666444441212121212121212121212121212121212122244441212121212121212121212121212444661212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-111-11111111111111111111111-1-11-1-1-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-111-11-1-111-1-1111111111111-1-1-1-1-1-1-1111-11-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-11111-1-1-1-11-11-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-11-1-1-1-11111-1-1-11111-1-1-1-111-1-11
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
χ91111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11-11111-1-111-1-1-1-11-1-11111-1-111-11-1
χ101111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-11-1-1-1111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-11-111-111-1-1-1-11111-1-1-111-1-111-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-11-11-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11-11-1-11-1-11111-1-1-11111-1-1-1-111-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-11-1-1-1-111-1-1111-1-111-1-111-1-1111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-11-11111-1-111-1-11-1-111-1-111-1-1-1-11-11
χ141111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-11-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111-111-1-1-1-111-11111-1-1-1-11111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1111-1-1-11111-1-111-1-1-1-11111-1-111-1-11-11-1-11-1-11111-1-111-1-1-111-1-111111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111-1-11111-1-111-1-1-1-11111-1-1111111-11-1-1-1-111-1-111-1-11-1-11111-1-1-1-1-111
χ1722222222-122-12-1-12222-1-12222-1-12-1-1-1-1-1-1-122-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-120220-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222200200020-1-1-1-10000000-1-1-1-1000000000
χ1822222222-122-12-1-12222-1-12222-1-12-1-1-1-1-1-1-122-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-1-1-202-2011-1-1112222-1-1-1-1-1-1-1-1-2-2-2-200-2000-20111100000001111000000000
χ1922222222-122-12-1-12222-1-12222-1-12-1-1-1-1-1-1-122-1-1-1-2-21111-122-1-1-1-1-1-1-1-1-120-220-1-111-1-1-2-2-2-211111111-2-2-2-200200020-1-1-1-100000001111000000000
χ2022222222-122-12-1-12222-1-12222-1-12-1-1-1-1-1-1-122-1-1-1-2-21111-122-1-1-1-1-1-1-1-1-1-20-2-20111111-2-2-2-211111111222200-2000-2011110000000-1-1-1-1000000000
χ212222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-122-1222222-1-1-122-1-1-1-1-1-1-102202002200-1-1-1-1-1-1-1-1-1-1-1-100000002-1-1020000-1-1-1-12020000000000-1-10
χ222222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-122-1222222-1-1-122-1-1-1-1-1-1-10-220-2002200-1-1-1-1-1-1-1-1-1-1-1-10000000-2110-200001111-20-20000000000110
χ232222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-102-20200-2-20011111111111100000002-1-1020000-1-1-1-1-20-20000000000110
χ242222222-122-12222-1-12-12-122-1-122-12-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-10-2-20-200-2-2001111111111110000000-2110-2000011112020000000000-1-10
χ25222222-122-122-12222-1-1-12-1-12222-1-1222222-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-122022220022000000000000000022-1-122-1-1-1-1-1-1-1-1-1-10200000-1-1-1-100000
χ26222222-122-122-12222-1-1-12-1-12222-1-1222222-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-12-202-22200220000000000000000-2-2-11-2-2-11-1-1-1-111110-200000111100000
χ27222222-122-122-12222-1-1-12-1-12222-1-1222222-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-220-22-2-200-2-20000000000000000-2-21-1221-11111-1-1-1-10-200000111100000
χ28222222-122-122-12222-1-1-12-1-12222-1-1222222-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-200-2-200000000000000002211-2-211111111110200000-1-1-1-100000
χ292222-2-222-122-12-1-12222-1-1-2-2-2-2112-1-1-1111122-1-1-122-1-1-1-1-1-2-211-1-1-1111120-2-20-1-1111122-2-2-1-1-1-11111-2-22200-200020-1-111000000011-1-1000000000
χ302222-2-222-122-12-1-12222-1-1-2-2-2-2112-1-1-1111122-1-1-122-1-1-1-1-1-2-211-1-1-11111-20-2201111-1-122-2-2-1-1-1-1111122-2-2002000-2011-1-10000000-1-111000000000
χ312222-2-222-122-12-1-12222-1-1-2-2-2-2112-1-1-1111122-1-1-1-2-21111-1-2-211-1-1-11111202-20-1-1-1-111-2-2221111-1-1-1-122-2-200-200020-1-1110000000-1-111000000000
χ322222-2-222-122-12-1-12222-1-1-2-2-2-2112-1-1-1111122-1-1-1-2-21111-1-2-211-1-1-11111-2022011-1-1-1-1-2-2221111-1-1-1-1-2-222002000-2011-1-1000000011-1-1000000000
χ332222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-11111-1-122-1222222-111-2-2-1-1-1111102-20-200-2-200-1-111-1-1-1-111110000000-2-11020000-1-111-20200000000001-10
χ342222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-11111-1-122-1222222-111-2-2-1-1-111110-2-20200-2-200-1-111-1-1-1-11111000000021-10-2000011-1-120-20000000000-110
χ352222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-11111-1-122-1-2-2-2-2-2-2-111-2-2-1-1-111110220-200220011-1-11111-1-1-1-10000000-2-11020000-1-11120-20000000000-110
χ362222-2-22-122-12222-1-12-12-1-2-211-2-2-12-1-11111-1-122-1-2-2-2-2-2-2-111-2-2-1-1-111110-220200220011-1-11111-1-1-1-1000000021-10-2000011-1-1-20200000000001-10
χ372222-2-2-122-122-12222-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-12000000-11111-1-1-11111220-2-22200-2-2000000000000000022112-2-1-1-1-111-1-1110-200000-1-11100000
χ382222-2-2-122-122-12222-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-12000000-11111-1-1-111112-20-222200-2-20000000000000000-2-21-1-22-11-1-11111-1-1020000011-1-100000
χ392222-2-2-122-122-12222-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-12000000-11111-1-1-11111-2202-2-2-200220000000000000000-2-2-112-21-111-1-1-1-111020000011-1-100000
χ402222-2-2-122-122-12222-1-1-1211-2-2-2-2-1-122-2-2-2-2-1-1-1-12000000-11111-1-1-11111-2-2022-2-20022000000000000000022-1-1-221111-1-111-1-10-200000-1-11100000
χ4122-2-22-222222-2-22-2-2-2-22222-22-22-2222-222-2-2-2-2-2-2-200000022-22-22-2-222-2-2000000000000000000000002-22-200000000000000000002-22-2000000000
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χ4422-2-22-222-1221-2-11-2-2-22-1-12-22-2-112-1-11-1-111-2-21110033−3−3-12-2-11-111-1-11100000−333−3−33000033−3−333−3−3-22-2200000000−33−3300000001-11-1000000000
χ4522-2-22-222-1221-2-11-2-2-22-1-12-22-2-112-1-11-1-111-2-211100−3−333-12-2-11-111-1-111000003−3−333−30000−3−333−3−333-22-22000000003−33−300000001-11-1000000000
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χ4722-2-2-2222222-2-22-2-2-2-2222-22-22-22222-2-2-222-2-2-2-2-20000002-22-222-2-2-2-222000000000000000000000002-2-2200000000000000000002-2-22000000000
χ4822-2-2-2222222-2-22-2-2-2-2222-22-22-22222-2-2-222-2-2-2-2-20000002-22-222-2-2-2-22200000000000000000000000-222-20000000000000000000-222-2000000000
χ4922-2-2-2222-1221-2-11-2-2-22-1-1-22-221-12-1-1111-1-1-2-21110033−3−3-1-221-1-11111-1-1000003−3−33−33000033−3−3−3−333-222-2000000003−3−3300000001-1-11000000000
χ5022-2-2-2222-1221-2-11-2-2-22-1-1-22-221-12-1-1111-1-1-2-21110033−3−3-1-221-1-11111-1-100000−33−333−3000033−3−3−3−3332-2-2200000000−333−30000000-111-1000000000
χ5122-2-2-2222-1221-2-11-2-2-22-1-1-22-221-12-1-1111-1-1-2-211100−3−333-1-221-1-11111-1-1000003−33−3−330000−3−33333−3−32-2-22000000003−3−330000000-111-1000000000
χ5222-2-2-2222-1221-2-11-2-2-22-1-1-22-221-12-1-1111-1-1-2-211100−3−333-1-221-1-11111-1-100000−333−33−30000−3−33333−3−3-222-200000000−333−300000001-1-11000000000
χ532-22-200222-2-22-2-2-22-22222000000-2-2-2200002-22-2-22i−2i2i−2i2i−2i20000-22-20000000000000002i−2i002i−2i2i−2i000000002-20000000000000000000002-2002i−2i000
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χ574444444-2-24-2-24-2-2-2-24-2-2144-2-2-2-2-2-2111111-2-2-2-2144-2-2-2-21-2-2-2-211111110040000-2-200-2-2-2-211111111000000000000000000000000000000000000
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χ8244-4-4-44-24-2-2422-22-4-42-21-22-2-442-2-21-2222-2-222-1-1200000012-2-111-1-1-1-11100000−23230023−230000000000000000000000003−3−3300000000000000000000
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χ894-44-4004-2-2-42-2-422-224-2-2100000022-113-33-3-22-22-14i−4i−2i2i−2i2i10000-11-13-33-300000000000−2i2i00i−ii−i3i−3i3i−3i000000000000000000000000000000000000
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χ944-44-400-2442-442-4-44-4-2-2-2400000022-440000-22-22-4000000-200002-220000000000000000000000000000000-440000000000000000000002-20000000
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χ984-4-44004-24-42-44-442-2-4-24-20000002-42200002-2-44-2000000-2000022-200000000000000000−2i32i30000−2i32i32i3−2i3000000000000000000000000000000000000
χ994-4-44004-24-42-44-442-2-4-24-20000002-42200002-2-44-2000000-2000022-2000000000000000002i3−2i300002i3−2i3−2i32i3000000000000000000000000000000000000
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χ1014-4-44004-2-2-42242-22-2-4-2-2100000022-1-13-3-332-22-21002i3−2i3−2i32i310000-1-113-3-330000000000000−2i32i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ1024-4-44004-2-2-42242-22-2-4-2-2100000022-1-1-333-32-22-2100−2i32i32i3−2i310000-1-11-333-30000000000000−2i32i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ1034-4-44004-2-2-42242-22-2-4-2-2100000022-1-1-333-32-22-21002i3−2i3−2i32i310000-1-11-333-300000000000002i3−2i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
χ1044-4-4400-2442-4-4-2-44-442-2-2400000022-4-400002-22-24000000-2000022-20000000000000000000000000000000000000000000000000000000023−2300000
χ1054-4-4400-2442-4-4-2-44-442-2-2400000022-4-400002-22-24000000-2000022-200000000000000000000000000000000000000000000000000000000−232300000
χ106888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-42222222222222000000-12222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-8-8-4-4-4-4-4-4-4-4-4-4-4-42224444442222-2-2-2-222222000000-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000
χ10888-8-88-8-4-4-4-4-444-44444222-44-44-44222-222-2-2-2-2-2-2-2000000-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000000
χ10988-8-8-88-4-4-4-4-444-444442224-44-44-4222-2-2-222-2-2-2-2-2000000-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000000
χ1108-88-800-48-44-8-44448-8-4-42-40000004-24-40000-442-2400000020000-22-2000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-484484-8-8-44-42-4-4000000-244-400002-2-44400000020000-22-2000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-444-4444-44-4222000000-2-2-226-66-62-22-2-2000000-100001-11-33-3300000000000000000000000000000000000000000000000000000000000
χ1138-88-800-4-4-444-4444-44-4222000000-2-2-22-66-662-22-2-2000000-100001-113-33-300000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-48-44-84-44-4-884-42-40000004-24400004-4-22-400000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800-4-4844-8-4-884-442-4-4000000-24440000-224-4-400000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800-4-4-4444-44-44-44222000000-2-2-2-26-6-66-22-222000000-1000011-1-333-300000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-4-4444-44-44-44222000000-2-2-2-2-666-6-22-222000000-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000

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