Finite Group Databasebeta

← Group #6596721

Character table — Group #6596721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444488888888161616161616161616161616
order12222222222244444444444444444444888888888888888822222222444444444488888888888888888888888822444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11-1-111-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-111-1-11
χ51111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11-1-1-1-11
χ61111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11-1-1-111111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1111-1-1-1-1-1111
χ9111111111111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11-1-11-11-1-1
χ10111111111111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-111-11-111
χ11111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-11-1-111-11
χ12111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-11-111-1-11-1
χ13111111111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-11-11-1
χ14111111111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-111-11-11
χ15111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11-1-111
χ16111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1
χ1711111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-11111-1-111-1
χ1811111111-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111-1-1-1-111-1-11
χ1911111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111
χ2011111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1
χ2111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1111-1-1111-1-1-1
χ2211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-1-111-1-1-1111
χ2311111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-111-1111-1-1-1-11
χ2411111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-1-11-1-1-11111-1
χ2511111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-11-1-1-111-11
χ2611111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-1111-1-11-1
χ2711111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-111-11-11-11-1-1
χ2811111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11-1-11-11-11-111
χ2911111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-11-11-1-111
χ3011111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-11-111-1-1
χ3111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-11-11-1
χ3211111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1111-11-11
χ332222222222222222-2-2-2-2-2-222222222-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-222-2-2-2-200000000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-2-2-2-222222222-2-222-2-200000000000000000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-200000000000000002222-2-2-2-22222-2-2-2-22200000000000000000000000000000000000000000000
χ3722222222-2-2-2-22222-2-2222222222222-2-20000000000000000-2-222-2-222-2-222-2-2-2-2-2-200000000000000000000000000000000000000000000
χ3822222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2-2-222-2-2222200000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-20000000000000000-2-22222-2-222-2-222-2-22200000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000022-2-2-2-22222-2-22222-2-200000000000000000000000000000000000000000000
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χ4322-2-22-22-2000022-2-2002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i002222−2−2−2−2i2i2i2i2−i2−i2−i2−i200-2200-22002i−2i00000022−2−2i2i2−i2−i2−i2−i2i2i2−2−222−i2−i2i2i2−2−22200000000000000000000
χ4422-2-22-22-2000022-2-2002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00−2−2−2−22222−i2−i2−i2−i2i2i2i2i200-2200-22002i−2i000000−2−222−i2−i2i2i2i2i2−i2−i222−2−2i2i2−i2−i222−2−200000000000000000000
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χ4722-2-22-22-2000022-2-200−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i002222−2−2−2−2−i2−i2−i2−i2i2i2i2i2002-2002-200−2i2i00000022−2−2−i2−i2i2i2−i2−i2i2i222−2−2−i2−i2i2i222−2−200000000000000000000
χ4822-2-22-22-2000022-2-200−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00−2−2−2−22222i2i2i2i2−i2−i2−i2−i2002-2002-200−2i2i000000−2−222i2i2−i2−i2i2i2−i2−i2−2−222i2i2−i2−i2−2−22200000000000000000000
χ4922-2-22-22-20000-2-222002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i002222−2−2−2−2i2i2i2i2−i2−i2−i2−i2002-200-2200−2i2i000000−2−222−i2−i2i2i2i2i2−i2−i222−2−2−i2−i2i2i2−2−22200000000000000000000
χ5022-2-22-22-20000-2-222002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00−2−2−2−22222−i2−i2−i2−i2i2i2i2i2002-200-2200−2i2i00000022−2−2i2i2−i2−i2−i2−i2i2i2−2−222i2i2−i2−i222−2−200000000000000000000
χ5122-2-22-22-20000-2-222002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i002222−2−2−2−2i2i2i2i2−i2−i2−i2−i200-22002-200−2i2i000000−2−222−i2−i2i2i2−i2−i2i2i2−2−222i2i2−i2−i222−2−200000000000000000000
χ5222-2-22-22-20000-2-222002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00−2−2−2−22222−i2−i2−i2−i2i2i2i2i200-22002-200−2i2i00000022−2−2i2i2−i2−i2i2i2−i2−i222−2−2−i2−i2i2i2−2−22200000000000000000000
χ5322-2-22-22-20000-2-22200−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i002222−2−2−2−2−i2−i2−i2−i2i2i2i2i200-22002-2002i−2i000000−2−222i2i2−i2−i2i2i2−i2−i2−2−222−i2−i2i2i222−2−200000000000000000000
χ5422-2-22-22-20000-2-22200−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00−2−2−2−22222i2i2i2i2−i2−i2−i2−i200-22002-2002i−2i00000022−2−2−i2−i2i2i2−i2−i2i2i222−2−2i2i2−i2−i2−2−22200000000000000000000
χ5522-2-22-22-20000-2-22200−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i002222−2−2−2−2−i2−i2−i2−i2i2i2i2i2002-200-22002i−2i000000−2−222i2i2−i2−i2−i2−i2i2i222−2−2i2i2−i2−i2−2−22200000000000000000000
χ5622-2-22-22-20000-2-22200−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00−2−2−2−22222i2i2i2i2−i2−i2−i2−i2002-200-22002i−2i00000022−2−2−i2−i2i2i2i2i2−i2−i2−2−222−i2−i2i2i222−2−200000000000000000000
χ572-22-22-2-2222-2-200002-22-22-2000000002-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
χ582-22-22-2-2222-2-200002-22-22-2000000002-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000-22-22−2i2i−2i2i000000000000
χ592-22-22-2-2222-2-200002-22-22-2000000002-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000002-22-2−2i2i−2i2i000000000000
χ602-22-22-2-2222-2-200002-22-22-2000000002-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000-22-222i−2i2i−2i000000000000
χ612-22-22-2-22-2-22200002-2-22-22000000002-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000002-2-222i−2i−2i2i000000000000
χ622-22-22-2-22-2-22200002-2-22-22000000002-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000-222-2−2i2i2i−2i000000000000
χ632-22-22-2-22-2-22200002-2-22-22000000002-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000002-2-22−2i2i2i−2i000000000000
χ642-22-22-2-22-2-22200002-2-22-22000000002-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000-222-22i−2i−2i2i000000000000
χ652-22-2-222-22-22-22-22-20000002i−2i2i−2i2i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000002-22i−2i2i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−22−22−200000000000000000000
χ662-22-2-222-22-22-22-22-20000002i−2i2i−2i2i−2i2i−2i00−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000002-22i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−22−22−2200000000000000000000
χ672-22-2-222-22-22-22-22-2000000−2i2i−2i2i−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000002-2−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−22−22−2200000000000000000000
χ682-22-2-222-22-22-22-22-2000000−2i2i−2i2i−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000002-2−2i2i−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−22−22−200000000000000000000
χ692-22-2-222-22-22-2-22-220000002i−2i2i−2i−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000-222i−2i−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−2−22−22−22−2200000000000000000000
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χ942-2-22-2-2220000-222-2-2-200002-2-22-222-22200000000-22-222-22-2-22002-2002-20000000000002-2-220000-222-200002-2-2200000000000000000000
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χ10244-4-4-44-44000000004-4000000000000-44-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
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χ1084-4-4444-4-400000000004i−4i−4i4i0000000000−2i2−2i22i22i22i22i2−2i2−2i22222−22−22−22−22222200000000000000000000000000000000000000000000000000000000000000
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χ1104-4-4444-4-40000000000−4i4i4i−4i0000000000−2i2−2i22i22i22i22i2−2i2−2i2−22−2222222222−22−2200000000000000000000000000000000000000000000000000000000000000

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