Finite Group Databasebeta

← Group #13172101

Character table — Group #13172101

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122222333666666666333666666666666666666644121212123666666666662244466121212121212121212121212121212124444446666666121212121212122441212121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-11-1111111111111111111111-1-1111-1-111-1-11-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-111111111111111-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-11-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1-111-111-1-111-1-1-11111-1-1-1-111-1-11
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
χ91111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-11111-1-111-11-1
χ101111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-11-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1111-11-1-111-1-111-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-1-11111-1-1-1-111-1-1-111
χ121111-1-1111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111-1-1
χ131111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-111-1-1111-1-1-1-11111-1-1-1-111111111-1-11111111-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-11
χ141111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-1-111-1-111-11111-1-1-1-11111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-111-11-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-1111-1-111-1-11-11-1-111-1-111111-1-1
χ161111-1-1111111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-11111111-11-1-1-11111-1-1-1-1-111
χ1722222222-12-122-12-122-12-12222-1-1-1-1-1-1-1-122-1-12-1-1222222-122-1-1-1-1-1-1-1-1-1020220000-1-1-1-122-1-1-1-1-1-1-1-100000002-100-1-102-100-1-12200000000000-1-10
χ1822222222-12-122-12-122-12-12222-1-1-1-1-1-1-1-122-1-12-1-1222222-122-1-1-1-1-1-1-1-1-10-20-220000-1-1-1-122-1-1-1-1-1-1-1-10000000-2100110-210011-2-200000000000110
χ1922222222-12-122-12-122-12-12222-1-1-1-1-1-1-1-122-1-12-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-10202-200001111-2-21111111100000002-100-1-102-100-1-1-2-200000000000110
χ2022222222-12-122-12-122-12-12222-1-1-1-1-1-1-1-122-1-12-1-1-2-2-2-2-2-2-122-1-1-1-1-1-1-1-1-10-20-2-200001111-2-2111111110000000-2100110-2100112200000000000-1-10
χ212222222-12-122-12222-12-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-122220222200000000000000002200-1-12-1-1-1-1-1-12-1-1-1-10020000-1-1-1-100000
χ222222222-12-122-12222-12-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-12-22-2022220000000000000000-2-200-11-2-1-111-11-2-1-11100-20000111100000
χ232222222-12-122-12222-12-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-22-220-2-2-2-20000000000000000-2-2001-1211-1-11-1211-1-100-20000111100000
χ242222222-12-122-12222-12-1-122-1-122222222-1-1-1-1-1-12000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20-2-2-2-20000000000000000220011-2111111-211110020000-1-1-1-100000
χ25222222-12222-122-12-12-1-12-1-12222-1-1-1-1-1-1-1-122-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-120202-1-1-1-12222-1-1-1-1-1-1-1-1-1-1220022200-1-100200-1-100000-1-1-1-1000000000
χ26222222-12222-122-12-12-1-12-1-12222-1-1-1-1-1-1-1-122-12-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-20-20211112222-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2001100-20011000001111000000000
χ27222222-12222-122-12-12-1-12-1-12222-1-1-1-1-1-1-1-122-12-1-2-21111-1-1-122-1-1-1-1-1-1-12020-2-1-1-1-1-2-2-2-21111111111-2-200-2-2200-1-100200-1-1000001111000000000
χ28222222-12222-122-12-12-1-12-1-12222-1-1-1-1-1-1-1-122-12-1-2-21111-1-1-122-1-1-1-1-1-1-1-20-20-21111-2-2-2-21111111111220022-2001100-2001100000-1-1-1-1000000000
χ292222-2-222-12-122-12-122-12-1-2-2-2-211-1-1111122-1-12-1-1222222-1-2-211-1-1-11111020-2-20000-1-111-2-2-1-1-1-1111100000002-100-1-10-210011-22000000000001-10
χ302222-2-222-12-122-12-122-12-1-2-2-2-211-1-1111122-1-12-1-1222222-1-2-211-1-1-111110-202-20000-1-111-2-2-1-1-1-111110000000-21001102-100-1-12-200000000000-110
χ312222-2-222-12-122-12-122-12-1-2-2-2-211-1-1111122-1-12-1-1-2-2-2-2-2-2-1-2-211-1-1-11111020-22000011-1-1221111-1-1-1-100000002-100-1-10-2100112-200000000000-110
χ322222-2-222-12-122-12-122-12-1-2-2-2-211-1-1111122-1-12-1-1-2-2-2-2-2-2-1-2-211-1-1-111110-2022000011-1-1221111-1-1-1-10000000-21001102-100-1-1-22000000000001-10
χ332222-2-22-12-122-12222-12-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-1111122-2-2022-2-200000000000000002200-1-12-1-1-1-111-2111100-20000-1-11100000
χ342222-2-22-12-122-12222-12-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-111112-2-22022-2-20000000000000000-2-200-11-2-1-1111-1211-1-1002000011-1-100000
χ352222-2-22-12-122-12222-12-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-11111-222-20-2-2220000000000000000-2-2001-1211-1-1-11-2-1-111002000011-1-100000
χ362222-2-22-12-122-12222-12-1-1-2-211-2-222-2-2-2-2-1-1-1-1-1-12000000-11111-1-1-11111-2-2220-2-2220000000000000000220011-21111-1-12-1-1-1-100-20000-1-11100000
χ372222-2-2-12222-122-12-12-1-1211-2-2-2-2-1-11111-1-122-12-122-1-1-1-1-111-2-2-1-1-1111120-20-2-1-11122-2-211-1-1-1-11111-2-20022200-1-100-200110000011-1-1000000000
χ382222-2-2-12222-122-12-12-1-1211-2-2-2-2-1-11111-1-122-12-122-1-1-1-1-111-2-2-1-1-11111-2020-211-1-122-2-211-1-1-1-111112200-2-2-2001100200-1-100000-1-111000000000
χ392222-2-2-12222-122-12-12-1-1211-2-2-2-2-1-11111-1-122-12-1-2-21111-111-2-2-1-1-1111120-202-1-111-2-222-1-11111-1-1-1-12200-2-2200-1-100-2001100000-1-111000000000
χ402222-2-2-12222-122-12-12-1-1211-2-2-2-2-1-11111-1-122-12-1-2-21111-111-2-2-1-1-11111-2020211-1-1-2-222-1-11111-1-1-1-1-2-20022-2001100200-1-10000011-1-1000000000
χ4122-2-22-2222-2-222-2-22-2-22222-22-22-22-222-2-2-2-2-2-222-200000022-22-22-2-222-2-2000000000000000000000002i−2i002i−2i000000000000000002i−2i2i−2i000000000
χ4222-2-22-2222-2-222-2-22-2-22222-22-22-22-222-2-2-2-2-2-222-200000022-22-22-2-222-2-200000000000000000000000−2i2i00−2i2i00000000000000000−2i2i−2i2i000000000
χ4322-2-22-2-122-2-2-12-2121-2-1-12-112-22-2-11-1-11111-2-2-1210033−3−3-1-112-2-111-1-11100000−i3i3−i3i300003−333−3−333−3−32i−2i002i−2i000−i3i300000−i3i300000−ii−ii000000000
χ4422-2-22-2-122-2-2-12-2121-2-1-12-112-22-2-11-1-11111-2-2-1210033−3−3-1-112-2-111-1-11100000i3−i3i3−i300003−333−3−333−3−3−2i2i00−2i2i000i3−i300000i3−i300000i−ii−i000000000
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χ4722-2-2-22222-2-222-2-22-2-2222-22-22-222-2-2-222-2-2-2-222-20000002-22-222-2-2-2-222000000000000000000000002i−2i00−2i2i000000000000000002i−2i−2i2i000000000
χ4822-2-2-22222-2-222-2-22-2-2222-22-22-222-2-2-222-2-2-2-222-20000002-22-222-2-2-2-22200000000000000000000000−2i2i002i−2i00000000000000000−2i2i2i−2i000000000
χ4922-2-2-22-122-2-2-12-2121-2-1-121-1-22-22-1111-1-111-2-2-1210033−3−3-11-1-22-11111-1-100000−i3i3i3−i30000−3333−3−3−3−333−2i2i002i−2i000−i3i300000i3−i300000i−i−ii000000000
χ5022-2-2-22-122-2-2-12-2121-2-1-121-1-22-22-1111-1-111-2-2-1210033−3−3-11-1-22-11111-1-100000i3−i3−i3i30000−3333−3−3−3−3332i−2i00−2i2i000i3−i300000−i3i300000−iii−i000000000
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χ532-22-200222-22-2-2-22-2-22222000000-2200002-22-2-2-2-22i−2i2i−2i2i−2i20000-22-200000000000002i−2i00002i−2i2i−2i0000002-2000000000000000000000002-2002i−2i000
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χ552-22-200222-22-2-2-22-2-22222000000-2200002-22-2-2-2-2−2i2i−2i2i−2i2i20000-22-20000000000000−2i2i0000−2i2i−2i2i0000002-2000000000000000000000002-200−2i2i000
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χ574444444-2-2-2-24-2-24-24-2-2-2144-2-2-2-2-2-2-2-2-2-2-2-211-21-20000001-2-2111111111040400000000000000000000000000-2-200110-2-200110000000000000000
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χ7644-4-44-4-2-242-4-2-2-42422-21-2-22-224-4-22-2-222-1-1221-2200000011-1-221-1-111-1-1000002i3−2i32i3−2i300000000000000000000000−i3i300000−i3i3000000000000000000
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χ904-44-400-244-442-4-4-2-424-2-240000002-20000-224-42-42−4i4i2i−2i2i−2i-200002-220000000000000−4i4i00002i−2i2i−2i0000000000000000000000000000000000000000
χ914-44-400-24-2-4-22-42-22241-2-2000000-113-33-3-22-2222-14i−4i−2i2i−2i2i10000-11-13-33-3000000000−2i2i0000i−ii−i3i−3i3i−3i000000000000000000000000000000000000
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χ984-4-44004-24-2-4-424-4-4424-2-2000000-4-400002-22-2224000000-2000022-20000000000000000000000000000000000000000000000000000000023−2300000
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χ1014-4-4400-2444-42-442-4-2-4-2-240000002200002-2-442-4-2002i3−2i3−2i32i3-2000022-200000000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000
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χ1034-4-4400-24-2422-4-222-2-41-2-2000000-1-13-3-332-22-2221002i3−2i3−2i32i310000-1-113-3-3300000000000−2i32i300−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000
χ1044-4-4400-24-2422-4-222-2-41-2-2000000-1-1-333-32-22-222100−2i32i32i3−2i310000-1-11-333-300000000000−2i32i300i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000
χ1054-4-4400-24-2422-4-222-2-41-2-2000000-1-1-333-32-22-2221002i3−2i3−2i32i310000-1-11-333-3000000000002i3−2i300−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000
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
χ1078888-8-8-4-4-4-4-4-4-4-4-4-4-4-422244444422-2-2-2-22222222000000-1-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000
χ10888-8-88-8-4-4-444-4-444-444222-44-44-442-222-2-2-2-2-2-222-2000000-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000000
χ10988-8-8-88-4-4-444-4-444-4442224-44-44-42-2-2-222-2-2-2-222-2000000-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000000
χ1108-88-8008-4-44-4-84484-8-4-4-420000004-40000-442-24-2400000020000-22-2000000000000000000000000000000000000000000000000000000000000000
χ1118-88-800-4-484844-8-4-84-4-42-40000004-400002-2-44-24400000020000-22-2000000000000000000000000000000000000000000000000000000000000000
χ1128-88-800-4-4-44-4444-444-4222000000-226-66-62-22-2-2-2-2000000-100001-11-33-3300000000000000000000000000000000000000000000000000000000000
χ1138-88-800-4-4-44-4444-444-4222000000-22-66-662-22-2-2-2-2000000-100001-113-33-300000000000000000000000000000000000000000000000000000000000
χ1148-8-88008-4-4-44-84-4-8484-4-420000004400004-4-224-2-400000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1158-8-8800-4-48-4-84484-8-44-42-4000000440000-224-4-24-400000020000-2-22000000000000000000000000000000000000000000000000000000000000000
χ1168-8-8800-4-4-4-4444-444-44222000000-2-26-6-66-22-22-2-22000000-1000011-1-333-300000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4-4-4-4444-444-44222000000-2-2-666-6-22-22-2-22000000-1000011-13-3-3300000000000000000000000000000000000000000000000000000000000

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