Finite Group Databasebeta

← Group #13167953

Character table — Group #13167953

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order1222333666666666333466666666644444436661212121212121212121212121244412121212121212121212121222444412121212121212121212121212121212121244442446612121212612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-1111-1-111-1-1111111-1-1-1-1111-11-111-1-111-1-11111-1-1-1-1-11-111-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111111-1-1-111111111-1-1-1-111-1-1-11-1111-1-111-1-1111111-1-1-1-11-1-1-1-111-1-11-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-11-1-11-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-111-1-111
χ511111111111111111111111111111-1-1111111111111111111111-1111111-1-111-1-111-1-1-1-1111-111-1111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11-1
χ611111111111111111111111111111-1-111-1-111111111111111111-1-1111-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-111-1-11-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-11-111-1-1-1-1-11-11
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1111111-1-1-1-1-1-1-11-111111-1-1-1-111-1-1-1-1-1-11-1111-1-1-1-11-111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111-1-11-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-1-1111
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-111-11-1-11111-1-111-1-1111111-1-1-1-1-11111-1-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-1-1-111-11-1-11-111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111-1-111-1-1-11-11111111-1-1-1-1-1-1111111-111-1-111-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-111-1-1-1-1111-11-1-1-1-1-11111-1-11111111-1111-1-1-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-1222-1-12-1222-1-122-1-1-12-12-1-1220022-1-1-1-12-12-1-122-1-1-1-1-1-122000-1-1-1-12222000022000-10-12200-1-100-1-1-1-1-1-1000020000-1-100-1000
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χ2522222-12-12-12222-12-12-12-12-1-1-12-12-1222200-1-1-1-1-122-1-1-1-122-1-1-1-120222002200-1-1-1-1220000-1220-10-1-100-1-100-1-1-1-10000020-1-100000-100
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χ362222-1222-1222-122-1-1-122-1-122-1-1-1-1200-2-2-2-2-1-1-1-122-122-1-1-1-1-1-1-1-10-2-211-2-2001100-2-2000022-201-20111111111000000000020000-1-100-10
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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
χ9788-8-88-4-44844-4-84-4-8-4-4204-4-2-2-4444200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4-8-4-84-44484-42-404244-4-24-2-400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-44-444-444-442220-22-2-22-2-2-22000000-1-111000006i−6i00−3i−3i3i3i00000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-444-444-442220-22-2-22-2-2-22000000-1-11100000−6i6i003i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4-4-8444-8-448-4-420-442-24-444-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-48-444-8-8484-42-4-4024-44-2-4-2440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4-444444-44-422202-22-2-22-2-2-2000000-11-1100000006i−6i−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4-444444-44-422202-22-2-22-2-2-2000000-11-110000000−6i6i3i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4-848-44-44-84-42-404-24-44-2-4240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-48-8-4-8442-4-40-244-4-242-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-444-4-44-44442220-2-2-22-2-222-2000000-111-10006-60000-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-444-4-44-44442220-2-2-22-2-222-2000000-111-1000-6600003-3-3300000000000000000000000000000000000000000000000000000000

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