Finite Group Databasebeta

← Group #6579710

Character table — Group #6579710

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12222222444444444444444488888888224444444444444444444488888888888822224444444444448888888822444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111111111-1-11111-1-1
χ91111111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-111-1-111-1-11-11-11-11-1
χ101111111111111-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-11-1-111-1-111-11-11-11-11
χ111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1111111-1-1-1-11-111-1-111-1-1-11-11-11-11
χ121111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11111111-1-1-1-1-11-1-111-1-1111-11-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111111-1-1-111-1-111-1-11-1-1-111-1-111-111-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-11-1-111-1-111-1-1-1111-1-111-1-11-1-11-111-1
χ151111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111111111-1-11-111-1-111-1-1111-1-1-111-1-1111-1-11-111-1
χ161111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1111-1-111-1-111-1111-1-111-1-1-111-11-1-11
χ1711111111-1-1-1-111111-1-1-1-111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-111-1-1-1-11-111-1-1-1-111-11-111-11-1
χ1811111111-1-1-1-111111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-11-1-11111-1-11-11-1-11-11
χ1911111111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-111111-111-1-1-1-1111-11-1-11-11
χ2011111111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11111-1-11111-11-1-11111-1-1-11-111-11-1
χ2111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-1-11111-1-1111-1-1-11111-1-11-1-111-1-11
χ2211111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-111-1111-1-1-1-111-111-1-111-1
χ2311111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-111-1111-1-1-1-111-1-11-1-1-11111-1-1-111-1-111-1
χ2411111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111-111-1-1-1-111-1-1-1111-1-1-1-1111-1-111-1-11
χ2511111111-1-1-1-11-1-1-1-1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ2611111111-1-1-1-11-1-1-1-1111111111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ2711111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ2811111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111
χ2911111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ3011111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ3111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111
χ3211111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ33222222222222-222222222-2-2-200000000-2-20000-2-2222200002222-2-200000000000000-2-20000000000-2-20000000000000000
χ34222222222222-222222222-2-2-200000000-2-20000-2-2-2-2-2-20000-2-2-2-2-2-200000000000000220000000000220000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002200002222-2-2000022-2-2-2-200000000000000-220000000000-220000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000022000022-2-2220000-2-222-2-2000000000000002-200000000002-20000000000000000
χ3722222222-2-2-2-2-22222-2-2-2-2-2-2-200000000-2-200002222-2-20000-2-22222000000000000002-20000000000-220000000000000000
χ3822222222-2-2-2-2-22222-2-2-2-2-2-2-200000000-2-2000022-2-222000022-2-22200000000000000-2200000000002-20000000000000000
χ3922222222-2-2-2-2-2-2-2-2-22222-2-2-200000000220000-2-222220000-2-2-2-22200000000000000220000000000-2-20000000000000000
χ4022222222-2-2-2-2-2-2-2-2-22222-2-2-200000000220000-2-2-2-2-2-2000022222200000000000000-2-20000000000220000000000000000
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χ44222-2-2-22-22i2i−2i−2i02i2i−2i−2i22-2-2000−i2−i2−i2−i2i2i2i2i200000000-22-220000−2i2i−2i2i00−2−222−i2−i2i2i2−2−2220000000000000000i2−i2i2−i22−22−200000000
χ45222-2-2-22-22i2i−2i−2i0−2i−2i2i2i-2-222000i2i2i2i2−i2−i2−i2−i2000000002-2-2200002i−2i−2i2i0022−2−2−i2−i2i2i2−2−2220000000000000000i2−i2−i2i22−2−2200000000
χ46222-2-2-22-22i2i−2i−2i0−2i−2i2i2i-2-222000i2i2i2i2−i2−i2−i2−i200000000-222-20000−2i2i2i−2i0022−2−2−i2−i2i2i2−2−2220000000000000000−i2i2i2−i2−222−200000000
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χ48222-2-2-22-22i2i−2i−2i0−2i−2i2i2i-2-222000−i2−i2−i2−i2i2i2i2i200000000-222-20000−2i2i2i−2i00−2−222i2i2−i2−i222−2−20000000000000000i2−i2−i2i22−2−2200000000
χ49222-2-2-22-2−2i−2i2i2i02i2i−2i−2i-2-222000i2i2i2i2−i2−i2−i2−i2000000002-2-220000−2i2i2i−2i00−2−222−i2−i2i2i222−2−20000000000000000i2−i2−i2i2−222−200000000
χ50222-2-2-22-2−2i−2i2i2i02i2i−2i−2i-2-222000i2i2i2i2−i2−i2−i2−i200000000-222-200002i−2i−2i2i00−2−222−i2−i2i2i222−2−20000000000000000−i2i2i2−i22−2−2200000000
χ51222-2-2-22-2−2i−2i2i2i02i2i−2i−2i-2-222000−i2−i2−i2−i2i2i2i2i2000000002-2-220000−2i2i2i−2i0022−2−2i2i2−i2−i2−2−2220000000000000000−i2i2i2−i22−2−2200000000
χ52222-2-2-22-2−2i−2i2i2i02i2i−2i−2i-2-222000−i2−i2−i2−i2i2i2i2i200000000-222-200002i−2i−2i2i0022−2−2i2i2−i2−i2−2−2220000000000000000i2−i2−i2i2−222−200000000
χ53222-2-2-22-2−2i−2i2i2i0−2i−2i2i2i22-2-2000i2i2i2i2−i2−i2−i2−i2000000002-22-20000−2i2i−2i2i00−2−222i2i2−i2−i2−2−2220000000000000000i2−i2i2−i2−22−2200000000
χ54222-2-2-22-2−2i−2i2i2i0−2i−2i2i2i22-2-2000i2i2i2i2−i2−i2−i2−i200000000-22-2200002i−2i2i−2i00−2−222i2i2−i2−i2−2−2220000000000000000−i2i2−i2i22−22−200000000
χ55222-2-2-22-2−2i−2i2i2i0−2i−2i2i2i22-2-2000−i2−i2−i2−i2i2i2i2i2000000002-22-20000−2i2i−2i2i0022−2−2−i2−i2i2i222−2−20000000000000000−i2i2−i2i22−22−200000000
χ56222-2-2-22-2−2i−2i2i2i0−2i−2i2i2i22-2-2000−i2−i2−i2−i2i2i2i2i200000000-22-2200002i−2i2i−2i0022−2−2−i2−i2i2i222−2−20000000000000000i2−i2i2−i2−22−2200000000
χ5722-2-222-2-22i−2i2i−2i200000000-2-2222-2-222-2-20022-2-200000022-2-200002i−2i2i−2i2i−2i0000000000000000002i−2i2i−2i000000000000000000
χ5822-2-222-2-22i−2i2i−2i200000000-2-2222-2-222-2-200-2-222000000-2-22200002i−2i2i−2i2i−2i000000000000000000−2i2i−2i2i000000000000000000
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χ914-44-44-4-440000-44-44-40000-44400000000-440000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-4-440000-4-44-440000-444000000004-40000000000000000000000000000000000000000000000000000000000000000
χ934-4-444-44-40000-400004-44-44-4400000000000000-440000000000000000000000000000000000000000000000000000000000
χ944-4-444-44-40000-40000-44-444-44000000000000004-40000000000000000000000000000000000000000000000000000000000
χ954-4-4-4-44440000000004-4-4400022−22−2222−222222−220000000000000000000000000022−22−2222000000000000000000000000000000000000
χ964-4-4-4-44440000000004-4-44000−222222−2222−22−222200000000000000000000000000−222222−22000000000000000000000000000000000000
χ974-4-4-4-4444000000000-444-400022−22−2222−222222−2200000000000000000000000000−222222−22000000000000000000000000000000000000
χ984-4-4-4-4444000000000-444-4000−222222−2222−22−22220000000000000000000000000022−22−2222000000000000000000000000000000000000

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