Finite Group Databasebeta

← Group #13167963

Character table — Group #13167963

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122233366666666633346666666664444443666121212121212121212121212124441212121212121212121212122244441212121212121212121212121212121212124444224661212121266124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-1111-1-11111-1-11111-1-1-1-111-11-1111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111111-1-1-11111-1-11111-1-111-1-11-1111-111-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-1-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1-111-1-111-1-1-1-1-1-11111-11-1-1-1-1-1111-1-11
χ511111111111111111111111111111-1-1111111111111111111111-1111111-1-11111-1-1-1-1-1-111-111-111-1-111-1-1111111-1-1-1-1-11-1-1-1-1-1111-1-1-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-111-1-1-11-1-1-11-1-111-1-111-1-1-1-11111-1-11-1-111-1-1-1-111
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-11-11
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11111-1-1-1-1-1-11-11-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11-111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-111-1-1-11-1-1-11-1-11111-1-111-1-1-1-1-1-111-1-1-111-1-111-11
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-111-111-1-11111-1-1-1-11111111-11-1-1-1-111-111-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-111-1-1-1-11111-1-1-1-1-1-11-11-1-1-1-111-1111
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-111-1-11-1111-111-1-1-1-111-1-111111111-1-1-111-1-111-1-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-111-1-1-1-111-11-111111-1-1-1-111-1-11111-11111-1-1-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-1-1-122-122222-1-122-1-12-1-1-1-12222200-1-1-1-12-1222-1-1-1-1-1-1-1-12022200-1-1-1-10022220000-1-10202-1-1-1-1-1-1-1-100000000200-1-100000-100
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χ2522222-1222-1-1222-12-12-12-12-1-12-12-1-1002222-1-1-1-1-122-1-122-1-1-1-1-1-1022-1-1-1-10022220000002202-102-100-1-100-1-1-1-1-1-100000200000-1-1-1000
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χ2822222-1222-1-1222-12-12-12-12-1-12-12-1-100-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-1-10-2-2111100-2-2-2-2000000220-210-2100110011111100000200000-1-1-1000
χ2922222-1222-1-1222-12-12-1-2-12-1-12-12-1-1002222-1-1-1-11-2-211-2-21111110-2-2-1-1-1-1002222000000220-210-21001100-1-1-1-11100000-200000-1-11000
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χ944-4-44-244-44-4-4-42-242-2-240-2-2-42242-42000000-22-22000000000000000000000000000000-44000000000000000000000000000002-2000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-42228222222222000000-1-1-1-1-4-4-4222222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222000000-1-1-1-1444-2-2-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-444-44-4-8-848-4-42044-2-44-2-4240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4448-8-444-8-4-42-404-24-4-242-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-444-44-4444-42220-2-2-22-2-222-2000000-111-10006-60000-3-33300000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-444-44-4444-42220-2-2-22-2-222-2000000-111-1000-66000033-3-300000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4-444-448-84-8-4-4204424-4-24-2-400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-488-84-4-8-44442-4-40-24-4-2-4444200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-444-44-44442220-2-22-22-2-2-22000000-1-111000006i−6i00−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-444-44-44442220-2-22-22-2-2-22000000-1-11100000−6i6i003i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-44-4-8-844-484-42-40-4244-2-4-2440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48-8844-84-4-442-4-402-44-24-444-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-44444-4-44222022-2-2-22-2-2-2000000-11-1100000006i−6i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-44444-4-44222022-2-2-22-2-2-2000000-11-110000000−6i6i3i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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