Finite Group Databasebeta

← Group #13172317

Character table — Group #13172317

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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χ311111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-11-1-11-1-1-1-111111-1-11
χ51111111111111111111111111111111111111111111111111111-111-1111111111111111111-1-1-1-1-11111-1-1-11111-1-11-1-11-1-1-1-1-1-1-1-11-1-11
χ61111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-111-1-1-1-1-11111-111-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
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χ10088-8-800-48-48-84-444-44-8-4-42000000-44400002-2-44-2420000-22-2000000000000000000000000000000000000000000000000000000000000
χ10188-8-800-4-4-4-444-444-4442220000002-2-26-66-62-22-2-2-2-100001-11-33-3300000000000000000000000000000000000000000000000000000000
χ10288-8-800-4-4-4-444-444-4442220000002-2-2-66-662-22-2-2-2-100001-113-33-300000000000000000000000000000000000000000000000000000000
χ1038-88-8008-4-44-444-4-8-884-42-40000004-4-200004-4-224420000-2-22000000000000000000000000000000000000000000000000000000000000
χ1048-88-800-48-4-8844-444-4-8-4-420000004-440000-224-4-2420000-2-22000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-4-4-44-444-444-44222000000-22-26-6-66-22-22-2-2-1000011-1-333-300000000000000000000000000000000000000000000000000000000
χ1068-88-800-4-4-44-444-444-44222000000-22-2-666-6-22-22-2-2-1000011-13-3-3300000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-4-4-444-444-444-4222-44-44-44-2-2222-2-2-2-2-2-222-12-22-2-111-1-11100000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-4-4-444-444-444-42224-44-44-4-2-22-2-222-2-2-2-222-1-22-22-11111-1-100000000000000000000000000000000000000000000000000000000

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