Finite Group Databasebeta

← Group #13172873

Character table — Group #13172873

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ311111111111111111111111111111111111111111111111111111111-11-111111111111111111-1-1-1-1-1-111-11-11-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-11-11
χ411111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
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χ944-4-440044-2-4-442-2-4-4244-2-2000000-4222-20000-442-2-4400-2000022-200000000-442-2000022-2-2000000000000000000000000000000000000000000
χ954-4-44004-24-42-2-44-42-44-24-20000002-422-200002-2-444-400-2000022-200000000-224-40000-2-222000000000000000000000000000000000000000000
χ964-4-44004-24-42-2-44-42-44-24-20000002-422-200002-2-44-4400-2000022-2000000002-2-44000022-2-2000000000000000000000000000000000000000000
χ974-4-44004-2-2-42-22-2-4224-2-2100000022-1-113-3-332-22-24-40010000-1-113-3-330000-22-22000011-1-13-3-3300000000000000000000000000000000000000
χ984-4-44004-2-2-42-22-2-4224-2-2100000022-1-113-3-332-22-2-440010000-1-113-3-3300002-22-20000-1-111-333-300000000000000000000000000000000000000
χ994-4-44004-2-2-42-22-2-4224-2-2100000022-1-11-333-32-22-24-40010000-1-11-333-30000-22-22000011-1-1-333-300000000000000000000000000000000000000
χ1004-4-44004-2-2-42-22-2-4224-2-2100000022-1-11-333-32-22-2-440010000-1-11-333-300002-22-20000-1-1113-3-3300000000000000000000000000000000000000
χ1014-4-4400-2442-44-442-4-4-2-2-2400000022-4-4400002-22-20000-2000022-20000000000000000000000004-400000000000000000000000000-2200000000
χ1024-4-4400-2442-44-442-4-4-2-2-2400000022-4-4400002-22-20000-2000022-2000000000000000000000000-44000000000000000000000000002-200000000
χ103888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-422222222222220000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1048888-8-8-4-4-4-4-4-4-4-4-4-4-4-422244444422222-2-2-2-222220000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000
χ10588-8-800-48-448-8-44-4-844-42-40000004-2-4440000-442-20000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10688-8-800-4-484-448-8-44-842-4-4000000-24-44400002-2-440000200002-2-200000000000000000000000000000000000000000000000000000000000000
χ10788-8-800-4-4-44-44-44-4444222000000-2-22-2-26-66-62-22-20000-10000-111-33-330000000000000000000000000000000000000000000000000000000000
χ10888-8-800-4-4-44-44-44-4444222000000-2-22-2-2-66-662-22-20000-10000-1113-33-30000000000000000000000000000000000000000000000000000000000
χ1098-88-88-8-4-4-4-444444-4-44222-44-44-4422-22-222-2-2-2-2-2-20000-12-22-21-11-1-1110000000000000000000000000000000000000000000000000000000000
χ1108-88-8-88-4-4-4-444444-4-442224-44-44-422-22-2-2-222-2-2-2-20000-1-22-221-1111-1-10000000000000000000000000000000000000000000000000000000000
χ1118-8-8800-48-44-884-44-84-4-42-40000004-244-400004-4-22000020000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1128-8-8800-4-4844-4-8844-8-42-4-4000000-2444-40000-224-4000020000-2-2200000000000000000000000000000000000000000000000000000000000000
χ1138-8-8800-4-4-444-44-4444-4222000000-2-2-2-226-6-66-22-220000-1000011-1-333-30000000000000000000000000000000000000000000000000000000000
χ1148-8-8800-4-4-444-44-4444-4222000000-2-2-2-22-666-6-22-220000-1000011-13-3-330000000000000000000000000000000000000000000000000000000000

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