Finite Group Databasebeta

← Group #13170761

Character table — Group #13170761

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222244444444444446666668888888888888888812121212121212121212121212121218181818181824242424242424242424242424242424242427272727363636363636363636727272108
order122233366666666633346666666662244443666121212121212121212121212122446666121212121212121222444466666612121212121212121212121222222446612121212612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111-1111111-1-111-1-1-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1-11-1-1-111-1-1-11-1-1
χ31111111111111111111111111111111-1-111111111111111111111-111111-1-111-1-111-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ41111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-11
χ511111111111111111111111111111-1-1111111111111111111111-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111-1-1-1-11-1-1-1
χ611111111111111111111111111111-1-111-1-111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-11-1-1-1-111-1-111
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-11-1-1-111-1-1-11-11
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-111-1-11-111
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11111-11
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111-11111-1-1-1-1-111-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1111
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1111111-1-1-1-1-11111-1-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-11111111-11-1-111-1-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ17222222-122-1-1-12222-1-122-1-1222-1-1-1-1002222-1-1-1-1-12222-1-1-1-1-1-1-1-10220000-1-1-1-122222200000000002-12-1-1-1-1-1-1-1-1-10000200-1-10000-1000
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χ2922222-122-12222-12-12-1-1-22-1-1-1-12-12-1220022-1-1-1-1-2-2111-2-2111111-20-222-1-1002200-1-1000022-21-1-111001-2001100-1-1000000-20000-1-10010
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χ4122-2-22222-22-2-2-22-2-22220-222-2-22-2-2-2002i−2i0022-2-2000000000000000000002i−2i002i−2i0000002i−2i000000000000002i−2i0022-2-200000002i−2i0000
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χ9788-8-88-4-484-444-8-4-84-42-4042-444-4-24-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-48-448-8-84-444-4-4204-42-2-2-444400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-4-44-4444-4442220-222-2-22-2-2-2000000-1-111000006i−6i00−3i−3i3i3i00000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-44-4444-4442220-222-2-22-2-2-2000000-1-11100000−6i6i003i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1018-88-8-48-4484-44-4-84-82-4-40244-44-2-4-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-484-4-88-8-4444-4-420-44-22-24-4440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-44-44-444422202-2-22-2-22-2-2000000-11-1100000006i−6i−3i3i−3i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-44-444422202-2-22-2-22-2-2000000-11-110000000−6i6i3i−3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-8444-4-848-4-42-404-244-44-2-420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-844-44-8-482-4-40-2444-4-242-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-444-4-42220-2-2-2-22-2-222000000-111-10006-60000-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-444-4-42220-2-2-2-22-2-222000000-111-1000-6600003-3-3300000000000000000000000000000000000000000000000000000000

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