Finite Group Databasebeta

← Group #13167948

Character table — Group #13167948

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122233366666666633346666666662244443666121212121212121212121212122446666121212121212121244444466666612121212121212121212121244444441212121212121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111111111111111111-111111111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-11-1-111-1-11-1-1-1
χ31111111111111111111111111111111-1-1111111111111111111111-11111-1-111-1-111-1-111-1-11111111-11-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11-1
χ41111111111111111111111111111111-1-1-1-111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-111-1-1-1-1-1-11111-11-111-1-1-1-1-11-11
χ511111111111111111111111111111-1-11111111111111111111111-11-1-1-1-111111111-1-1-1-11111-1-111-11-11-1-1111111-1-1-1-1-11-111-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-11-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111111-1-1-1-1-1-111-1-111
χ711111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-1-111-1-11-1-11
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-1-1111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-1-1-111-1-1-11-11-1-111-1-111-1-1-1-1-111-1-1-1-11111-11
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-1-1-1-11111111-1111-1-1-1-11-11-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11-11-1111111-1-1-1-1-1-11-1111-1-1-1-11-111
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1111-11-111-1-111-1-11111-111-1-1-1-11111-1-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-111-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-12-1-122222-12-1-122-1-12-1-1-1-12220022-1-1-1-1-12222-1-1-1-1-1-1-1-122022-1-1002200-1-10022002-1-1-1-1-1-1020-1-1-1-1000000002000000-1-100-10
χ18222222-12-1-122222-12-1-122-1-12-1-1-1-122200-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-1-22022-1-100-2-2001100-2-200-21-1-111-1020-1-11100000000-2000000110010
χ19222222-12-1-122222-12-1-122-1-12-1-1-1-12-2-20022-1-1-1-1-12222-1-1-1-1-1-1-1-12-20-2-211002200-1-100-2-2002-111-1-110-2011-1-100000000-2000000110010
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χ24222222-12-1-122222-12-1-1-22-1-12-1-1-1-12-2-200-2-2-1-1-1-11-2-2-2-211111111220-2-21100-2-200110022002-111-1-1-1020-1-11100000000-2000000-1-10010
χ2522222-12222-12-1-122-12-12-12-1-12-12-1-1002222-1-1-1-122-1-1-122-1-1-1-1-1-12020000-1-1-1-12222000022-1200-1-10-10200-1-1-1-1-1-10000020-1-100000-100
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χ2822222-12222-12-1-122-12-12-12-1-12-12-1-100-2-2-2-2-1-1-1-122-1-1-122-1-1-1-1-1-1-20-200001111-2-2-2-20000221-20011010-2001111110000020-1-100000-100
χ2922222-12222-12-1-122-12-1-2-12-1-12-12-1-1002222-1-1-1-1-2-2111-2-2111111-20-20000-1-1-1-122220000221-20011010-200-1-1-1-11100000-20-1-100000100
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χ362222-122-1222-122-12-1-122-1-12-1-12-12-1-2-2-2-200-1-1-1-12-12-1-1-1-122-1-1-1-10-2-211-2-2-2-2001100220000001100-2-21111001111000000200-1-100-1000
χ372222-122-1222-122-12-1-12-2-1-12-1-12-12-1222200-1-1-1-1-21-21111-2-211110-2-2-1-1222200-1-10022000000-1-100-2-2111100-1-111000000-200-1-1001000
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χ402222-122-1222-122-12-1-12-2-1-12-1-12-12-1-2-2-2-200-1-1-1-1-21-21111-2-2111102211-2-2-2-200110022000000110022-1-1-1-10011-1-1000000-200-1-1001000
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χ9788-8-8-48-444-484-8-8-44-42-404-2-44-2424-400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-484-88-4444-4-82-4-40-24-4-244-44200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-444-4-4444-442220-2-22-2-2-22-22000000-1-11100000006i−6i−3i−3i3i3i00000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-444-4-4444-442220-2-22-2-2-22-22000000-1-1110000000−6i6i3i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-48444-84-4-8-4-4-420-4-4-244-24240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48-4-8-8444-4482-4-402-44-2444-4-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-444444-44-4222022-2-2-2-2-22-2000000-11-11000006i−6i00−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-444444-44-4222022-2-2-2-2-22-2000000-11-1100000−6i6i003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-8-4448-44-84-4-42044-2-4-424-240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-44-8-48-844-42-404-24-42-4-2440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-444-4-44442220-2-2-2222-2-2-2000000-111-10006-60000-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-444-4-44442220-2-2-2222-2-2-2000000-111-1000-6600003-3-3300000000000000000000000000000000000000000000000000000000

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