Finite Group Databasebeta

← Group #13170789

Character table — Group #13170789

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order12223336666666663334666666666224444366612121212121212121212121212444666612121212121212122244446612121212121212121212121212121212222244466121212121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111111111111111111-1111111-1-1-1-111-1-111-1-111111-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-11-1
χ31111111111111111111111111111111-1-11111111111111111111-1111111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-111-1-11-1-1-1
χ41111111111111111111111111111111-1-1-1-111111111111111111-11-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-11-11
χ511111111111111111111111111111-1-11111111111111111111111-11-1-1-1-11111111111-1-1-1-1-1-111-111-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111-1-11-1-11
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-11-1-1-1-1-111-1-111
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
χ91111111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1111111-1-1-1-1
χ101111111111111111111-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-1-111-1-1-111-1-1-111-1-1-1-111-1-1-1-11-11-1-1-1-11111-11
χ111111111111111111111-111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-1111
χ121111111111111111111-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-1-1-111-1-111111111-111-1-1-1-11-11-1
χ131111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-111-111-1-1-1-11-111
χ141111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-111-1-111-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1111-1-11111-1-111111-11-1-1-1-11111-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1111111-1-1-11
χ17222222-122-12-122-12-1-122-1-12-12-12-1-1002222-1-1-1-12-1222-1-1-1-1-1-1-1-12020000-1-122-1-122220000002-102-1000-1-1-1-1-1-1-1-10000002-1-100000-100
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χ10088-8-8-4-4-4-4-4-44444442220222-2-2-2-2-2-2000000-1-111000−6i6i00003i3i−3i−3i00000000000000000000000000000000000000000000000000000000
χ1018-88-8-48-44-84-4-48-8442-4-40-244-4-4-24240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4844-8-48-44-84-4-42044-2-424-2-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4444-4-4-44442220-2-2-222-2-22-2000000-111-1000006-600-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4444-4-4-44442220-2-2-222-2-22-2000000-111-100000-66003-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-844-844-4-48-42-404-24-24-4-4420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-4844-84-84-48-4-4-42044-24-2-424-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4444444-4-4-42220-2-2-2-2-222-22000000-11-1100000006i−6i−3i3i3i−3i00000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4444444-4-4-42220-2-2-2-2-222-22000000-11-110000000−6i6i3i−3i−3i3i00000000000000000000000000000000000000000000000000000000

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