Finite Group Databasebeta

← Group #13167959

Character table — Group #13167959

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122233366666666633346666666664444443666121212121212121212121212122441212121212121212121212122244446666121212121212121212121212121244442446612121212612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111-1111111-1-111-1-111-1-1-1-111111-11-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111-1-111111111111111111111-11-1-111-1-1111111-1-111-1-11111-11-1111-1-1-1-11111-1-1-1-1-11-1-1-111-1-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-111
χ511111111111111111111111111111-1-1111111111111111111111-11111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-11-1-1-111-1-1-11-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1111111111-1-111-1-1-1-11-1-11
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1111111-1-111-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-11-11-1-111-1-11-111
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-111111111-1-1-1-1-11111-1-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1-1-1-1-111-1-11111-11-11-1-111-1-1-1-11111111-11-1-111-1-11-11-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-11111-11111-1-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-1-12-12-122222-1-122-1-12-1-1-1-12222200-1-1-1-1-12222-1-1-1-1-1-1-1-122022-1-1-1-10022002200002-1-1-1-1020-1-1-1-1-1-100000000200-1-10000-1000
χ18222222-1-12-12-122222-1-122-1-12-1-1-1-1222-2-200-1-1-1-1-12222-1-1-1-1-1-1-1-12-20-2-2-1-111002200-2-200002-1-1-110-20-1-1111100000000-2001100001000
χ19222222-1-12-12-122222-1-122-1-12-1-1-1-12-2-22200-1-1-1-1-12222-1-1-1-1-1-1-1-1-2202211-1-100-2-200-2-20000-2111-102011-1-1-1-100000000-2001100001000
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χ24222222-1-12-12-122222-1-1-22-1-12-1-1-1-12-2-2-2-200-1-1-1-11-2-2-2-211111111220-2-2111100-2-2002200002-1-1-1-10201111-1-100000000-200-1-100001000
χ2522222-12222-12-1-122-12-12-12-1-1-12-12-1220022-1-1-1-12-12-1-1-1-122-1-1-1-1202002200-1-1-1-122002200-12-1-10-102-1-10000-1-1-1-1000002000-1-1000-100
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χ2722222-12222-12-1-122-12-12-12-1-1-12-12-1-2-20022-1-1-1-12-12-1-1-1-122-1-1-1-1-20200-2-200-1-1112200-2-2001-2110-102110000-1-1-1-100000-200011000100
χ2822222-12222-12-1-122-12-12-12-1-1-12-12-1-2-200-2-2-1-1-1-12-12-1-1-1-122-1-1-1-1-20-200-2-2001111-2-20022001-211010-21100001111000002000-1-1000-100
χ2922222-12222-12-1-122-12-1-2-12-1-1-12-12-1220022-1-1-1-1-21-21111-2-21111-20-2002200-1-1-1-1220022001-211010-2-1-10000-1-11100000-2000-1-1000100
χ3022222-12222-12-1-122-12-1-2-12-1-1-12-12-12200-2-2-1-1-1-1-21-21111-2-21111-20200220011-1-1-2-200-2-2001-2110-102-1-1000011-1-100000200011000-100
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χ352222-1222-122222-1-1-1-122-1-12-12-12-1-100-2-222-1-1-1-122-1-1-122-1-1-1-1-1-10-221100-2-22200-1-10000-2-20000-221-1001111-1-1-1-1000000-20000110010
χ362222-1222-122222-1-1-1-122-1-12-12-12-1-100-2-2-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-2-21100-2-2-2-200110000220000-2-211001111111100000020000-1-100-10
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χ392222-1222-122222-1-1-1-12-2-1-12-12-12-1-100-2-222-1-1-1-1-2-2111-2-211111102-21100-2-22200-1-10000-2-200002-2-110011-1-1-1-111000000200001100-10
χ402222-1222-122222-1-1-1-12-2-1-12-12-12-1-100-2-2-2-2-1-1-1-1-2-2111-2-21111110221100-2-2-2-20011000022000022-1-10011-1-111-1-1000000-20000-1-10010
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χ968888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222000000-1-1-1-1444-2-2-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-44-8-444-448-8-4-42044-2-424-2-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-444-4-848-8-44-42-404-24-4-4-24240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-444-444-44-442220-2-2-222-2-22-2000000-111-10006-60000-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-444-444-44-442220-2-2-222-2-22-2000000-111-1000-66000033-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-8-48-4-44484-8-84-4-42-4042-444-24-2-400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4884-8-4-8444-42-4-40-2-4-4-24444200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-444-44444-42220-222-2-2-2-2-22000000-1-111000006i−6i00−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-444-44444-42220-222-2-2-2-2-22000000-1-11100000−6i6i003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-44844-44-4-8-8-4-420-44-24-2-42440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48-8-4-8484-4442-4-40244-24-4-44-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-444-44-44422202-2-2-2-222-2-2000000-11-1100000006i−6i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-444-44-44422202-2-2-2-222-2-2000000-11-110000000−6i6i3i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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