Finite Group Databasebeta

← Group #13167958

Character table — Group #13167958

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order12223336666666663334666666666444444366612121212121212121212121212444121212121212121212121212224444121212121212121212121212121212121212444444466121212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111-1111111-1-111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11-1
χ31111111111111111111111111111111-1-111111111111111111111-111111-1-111-1-111-1-1-1-111-11111-111-1-111-1-11111-1-1-1-1-11-1-1-111-1-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-1-11-11
χ511111111111111111111111111111-1-1111111111111111111111-111-1-1-1-11111111111-1-1-1-11-111-11-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-111-1-111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-11111-11-1-1-111-1-11-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-11
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11-11-1-111-1-1-1111
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1111-1-1-1-111-1-111111111-111-1-1-1-11-11-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-1-11-1-11-1-1-11111-1-111-1-1-1-1-1-111-111-1-1-1-11-111
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-111-11111-1-1-11111-1-1-1-11111111-11-1-111-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1111111-1-11111-111-1-1-1-11111-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-1-1222-122-122-1-122-1-1-12-12-1-1002222-1-1-1-1-122-1-122-1-1-1-1-1-102200002222-1-1-1-1220000-102-10200-1-100-1-1-1-1-1-10000002-1-100000-100
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χ19222222-1-1222-122-122-1-122-1-1-12-12-1-100-2-222-1-1-1-1-122-1-122-1-1-1-1-1-10-220000-2-22211-1-1-2-20000102-10-200110011-1-1-1-1000000-21100000100
χ20222222-1-1222-122-122-1-122-1-1-12-12-1-100-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-10-2-20000-2-2-2-2111122000010-210-20011001111110000002-1-100000-100
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χ2522222-12222-12-1-122-12-12-12-1-1-12-12-1220022-1-1-1-12-12-1-1-1-122-1-1-1-120222-1-100-1-100220000220-1-1220-1-100-1-100-1-1-1-1000002000-1-100-1000
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χ2722222-12222-12-1-122-12-12-12-1-1-12-12-1-2-20022-1-1-1-12-12-1-1-1-122-1-1-1-1-202-2-21100-1-100220000-2-201-12-2011001100-1-1-1-100000-200011001000
χ2822222-12222-12-1-122-12-12-12-1-1-12-12-1-2-200-2-2-1-1-1-12-12-1-1-1-122-1-1-1-1-20-2-2-211001100-2-2000022011-2-20110011001111000002000-1-100-1000
χ2922222-12222-12-1-122-12-1-2-12-1-1-12-12-1220022-1-1-1-1-21-21111-2-21111-20-222-1-100-1-10022000022011-2-20-1-1001100-1-11100000-2000-1-1001000
χ3022222-12222-12-1-122-12-1-2-12-1-1-12-12-12200-2-2-1-1-1-1-21-21111-2-21111-20222-1-1001100-2-20000-2-201-12-20-1-100110011-1-10000020001100-1000
χ3122222-12222-12-1-122-12-1-2-12-1-1-12-12-1-2-20022-1-1-1-1-21-21111-2-2111120-2-2-21100-1-100220000-2-20-11-2201100-1-100-1-1110000020001100-1000
χ3222222-12222-12-1-122-12-1-2-12-1-1-12-12-1-2-200-2-2-1-1-1-1-21-21111-2-21111202-2-211001100-2-20000220-1-12201100-1-10011-1-100000-2000-1-1001000
χ332222-1222-1-122222-1-1-122-1-122-1-1-1-12222200-1-1-1-122-122-1-1-1-1-1-1-1-1220-1-122-1-10022000022002200-1-1-1-1-1-1-1-1-1-1000000002000000-1-100-10
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χ352222-1222-1-122222-1-1-122-1-122-1-1-1-12-2-22200-1-1-1-122-122-1-1-1-1-1-1-1-1-22011-2-2-1-100220000-2-2002-2001-111-1-111-1-100000000-2000000110010
χ362222-1222-1-122222-1-1-122-1-122-1-1-1-12-2-2-2-200-1-1-1-122-122-1-1-1-1-1-1-1-1-2-2011-2-21100-2-200002200-2-2001111111111000000002000000-1-100-10
χ372222-1222-1-122222-1-1-12-2-1-122-1-1-1-12222200-1-1-1-1-2-21-2-211111111-2-20-1-122-1-1002200002200-2-20011-1-1-1-1111100000000-2000000-1-10010
χ382222-1222-1-122222-1-1-12-2-1-122-1-1-1-1222-2-200-1-1-1-1-2-21-2-211111111-220-1-1221100-2-20000-2-2002-2001-1-1-11111-1-10000000020000001100-10
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χ402222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-200-1-1-1-1-2-21-2-21111111122011-2-21100-2-2000022002200-1-11111-1-1-1-100000000-2000000-1-10010
χ4122-2-222222-22-2-2-2-2-22220-222-22-2-2-2-22-2000022-2-200000000000000002-22-2000000002-200000000002-2000000000022-2-20002-200000000
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χ9988-8-8-4-4-4-4-44-4444442220-222-22-2-2-2-2000000-1-111000006i−6i00−3i−3i3i3i00000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-4-44-4444442220-222-22-2-2-2-2000000-1-11100000−6i6i003i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1018-88-8-48-4444-8-48-84-4-42-404-24-44-2-4240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48-84448-44-8-42-4-40-244-4-242-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-4-444-42220-2-2-22-2-222-2000000-111-10006-60000-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44444-4-444-42220-2-2-22-2-222-2000000-111-1000-6600003-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-44-88444-4-4-8-4-420-44-2-24-44420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48-84-44-84-4842-4-402444-2-4-24-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-4444-4-4422202-2-2-2-22-2-22000000-11-1100000006i−6i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-4444-4-4422202-2-2-2-22-2-22000000-11-110000000−6i6i3i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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