Finite Group Databasebeta

← Group #13167980

Character table — Group #13167980

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order1222333666666666333466666666644444436661212121212121212121212121244412121212121212121212121244444412121212121212121212121212121212121222224441212121212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-111111-1-111-1-111-1-1-1-11111-111-111-1-111-1-11111-1-1-1-11-1-1-1-111-1-1-11-1-1
χ31111111111111111111111111111111-1-11111111111111111111-111111111-1-111-1-1-1-111-1-11-111-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11-1
χ41111111111111111111111111111111-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11
χ511111111111111111111111111111-1-111111111111111111111111-1-1-1-1-11111111111-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-11-1-1-1
χ611111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-11-1-11-1-1-1-1-1-1-1-1-111111111-11-1-1-1-1-111-1-111
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11-1-11-1-111-1-111-1-1-1-111111-1-1-1-111-1-1-11-11
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11-111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-111-1-1-11-1-11-111-1-1-1-111-1-111-1-1-1-11-11-1-1-1-11111-11
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1111111-1-1-1-1-1-111111111-111-1-1-1-1-111-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-111-1-1-1-1-1111
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11-111-11-1-11111-1-111-1-111111-11-1-1-1-11111-1-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-1-1-1-11111-1-1111111-111-1-111-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-11
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χ2822222-122-1222-12-12-12-12-12-1-1-12-12-1-2-2-2-200-1-1-1-12-12-1-1-1-122-1-1-1-1-20-2-2-21100-2-20011000022-2-20110110011001111000020000-1-1000-100
χ2922222-122-1222-12-12-12-1-2-12-1-1-12-12-1222200-1-1-1-1-21-21111-2-21111-20-222-1-1002200-1-1000022-2-20110-1-1001100-1-1110000-20000-1-1000100
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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
χ9788-8-88-4-48-4-8-44444-8-4-4204-42-2-4444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4-484-44-84-84-42-4042-44-4-24-2400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
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
χ1018-88-88-4-4-84-84-444-48-4-420-44-2-24-44420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48444-884-8-4-42-4-402444-2-4-24-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44444-444-4-422202-2-2-2-22-2-22000000-11-1100000006i−6i−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44444-444-4-422202-2-2-2-22-2-22000000-11-110000000−6i6i3i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-44-8-4448-4-84-42-404-24-44-2-4240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-4-8-8-48442-4-40-244-4-242-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-444-4-4442220-2-2-22-2-222-2000000-111-10006-60000-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-444-4-4442220-2-2-22-2-222-2000000-111-1000-6600003-3-3300000000000000000000000000000000000000000000000000000000

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