Finite Group Databasebeta

← Group #6586310

Character table — Group #6586310

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12222222444444444444444488888888444444444444444444444488888888888822444444444444448888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ1711111111-1-1-1-11111-1-1-1-1111111111111-1-111111111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-11111-1-1-1-1111111111111-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-11-11-11-11
χ1911111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-11-11-11-11
χ2011111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-111-1-1111-11-11-11-1
χ2111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-11111-1-11-11-1-1-111-1-1111-11-1-11-11
χ2211111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-11-1111-1-111-1-1-11-111-11-1
χ2311111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1111111-1-111-1-1-1-1111-11-1-1-111-1-111-11-111-11-1
χ2411111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-111-11-1111-1-111-1-11-11-1-11-11
χ2511111111-1-1-1-1-1-1-1-11111111111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-1-111-1-11
χ2611111111-1-1-1-1-1-1-1-11111111111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-111-1-111-1
χ2711111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1111-1-1-1-111-111-1-111-1
χ2811111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-11111-1-11-1-111-1-11
χ2911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-11-1-11-111-1
χ3011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-111-111-1-1-1-111-111-11-1-11
χ3111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-11-1-11-1-11111-1-1-111-11-1-11
χ3211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-111-111-1-1-1-1111-1-11-111-1
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χ3422222222222222222222-2-2-2-200000000-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022220000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-200000000222222-2-2-2-222000000000000000000000000-2-2220000000000000000
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χ5322-2-22-22-200000000−2i−2i2i2i2-22-22i2i−2i−2i2i2i−2i−2i002i−2i2i−2i2-22-2−2i2i000000000000000000-2-2220000-22−2i2i000000000000000000000000
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χ964-4-44-4-444000000004-4-440000−222222−22−222222−22000000000000000000000000000000−222222−2200000000000000000000000000000000
χ974-4-44-4-44400000000-444-4000022−22−222222−22−2222000000000000000000000000000000−222222−2200000000000000000000000000000000
χ984-4-44-4-44400000000-444-40000−222222−22−222222−2200000000000000000000000000000022−22−222200000000000000000000000000000000

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