Finite Group Databasebeta

← Group #648795

Character table — Group #648795

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222222222224444444444444444222244444444444444444444444444444444222244444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ10111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-11-11
χ11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111-11-11
χ12111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-11111-1-1-1-11111-1-11-11-1
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-11-11
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111-11-1
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-1111-11-1
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-11-11
χ171111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ181111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111111111-1-111
χ191111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ201111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-111-1-1
χ211111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ221111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ231111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ241111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-11
χ261111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-111-1
χ271111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-111-1
χ281111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1111-1-11
χ291111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-111-1
χ301111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11
χ311111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-11111-1-111-1-11-1-11
χ321111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-111-1
χ332222-222-2-2-2-2-2-222-22222-2-2-2-22222-2-2-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000002i−2i2i−2i0000000000000000000000000000
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χ352222-222-2-2-2-2-2-222-22222-2-2-2-2-2-2-2-22222-2-222000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i0000000000000000000000000000
χ362222-222-2-2-2-2-2-222-22222-2-2-2-2-2-2-2-22222-2-22200000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i0000000000000000000000000000
χ372222-222-2-2-2-2-2-222-2-2-2-2-222222222-2-2-2-2-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000002i−2i−2i2i0000000000000000000000000000
χ382222-222-2-2-2-2-2-222-2-2-2-2-222222222-2-2-2-2-2-22200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000−2i2i2i−2i0000000000000000000000000000
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χ48222-22-2-222-2-2-2-22-22-2-222-2-222-2-222-2-2222-22-20000000000000000000000000000000000000000000000000000−2i2i2i−2i00002i−2i−2i2i0000
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χ6422-222-2-2-2-222-2-2-222−2i2i−2i2i−2i2i−2i2i0000000000000000−2i−2i2i2i−2i2i−2i2i2-22-2000022-2-200000000000000000000−2i2i2-200000000000000000000
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χ974-44-444-4-44-444-4-44-4000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ984-44-444-4-44-444-4-44-400000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-44-44-44-4-44-44400000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000
χ1004-44-4-44-44-44-4-44-4440000000000000000000000000000000000000000-444-400000000000000000000000000000000000000000000
χ1014-4-44-44-4-44-44-444-44000000004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-4-44-44-444-4400000000-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-444-4-44-4444-4000000004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-4-44-444-4-44-4444-400000000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000

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