Finite Group Databasebeta

← Group #13172872

Character table — Group #13172872

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order122233366666666623336666666662244443666666666666666622466661212121212121212444444666666666612121212121212124444244121212121212612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111111111111111-11111111-1-111-1-111-1-1-1-11-11-11111-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1-11-1-1
χ31111111111111111111111111111111-1-11111111111111111111-1111111-1-111-1-111-1-111-1-1-11-1111-1-1111111-1-111-1-1-1-1-1-11-1-1-1-111-1-11-1
χ41111111111111111111111111111111-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-1-1-11-1-11
χ511111111111111111111111111111-1-111111111111111111111111-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11-1-111-1-1-1-11-1-1-1
χ611111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-11-11-1-1-111-1-1-1-1-1-111-1-11111-1-11-1-1-1-111-1-111
χ711111111111111111111111111111-1-1-1-11111111111111111111-11-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1111111-11-1-1-111-1-1-11-11
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
χ91111111111111111-11111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-1
χ101111111111111111-11111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1111111-1-111-1-111-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-1-1-1-11-11-1-111-1-11-111
χ111111111111111111-111111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111-1-111-1-111-1-111-1-11-11-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111-11
χ121111111111111111-111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-111-1
χ131111111111111111-1111111111111-1-111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-1111
χ141111111111111111-1111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-11-11-1-1-1-111111111-1-1111111-1-1-1-1-11111-1-1
χ151111111111111111-1111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-1-111-1-11111-1-11111111-11-1-111-1-11-11-1
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χ19222222-122-1-1-1222222-1-122-1-1-1-12-1-100-2-222-122-122-1-1-1-1-1-1-1-1-1-1-1-220000011-1-1-2-2220000-2-2-221-10011-1-1000011-1-10000-2001100001000
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χ1028-88-8-4-484-4-88-8-444402-4-4-2244-44-2-440000002000000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-44-44-44-44440222-22-2-22-2-22-2000000-1000006-6001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44-44-44-44440222-22-2-22-2-22-2000000-100000-66001-113-33-300000000000000000000000000000000000000000000000000000000
χ1058-8-888-4-4-8444-4-884-40-4-42444-4-22-44-20000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-44-844-44-4-880-42-444-224-4-4-240000002000000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44444-44-44-40222-2-2-22-222-2-2000000-10006-6000011-1-333-300000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44444-44-44-40222-2-2-22-222-2-2000000-1000-66000011-13-3-3300000000000000000000000000000000000000000000000000000000

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