Finite Group Databasebeta

← Group #484697

Character table — Group #484697

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111224488888888881616161616161616161611112244888888888816161616161616161616
order12222222444444444424444488882222222244444444442444448888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-111-1-11111-1-111-1-1-1-11111111111-1-111-1-11111-1-111-1-1-1-1
χ41111111111-1-111-1-111-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-11111
χ511111111-1-111-1-1-1-11111-11-1-111-1-111111111-1-111-1-1-1-11111-11-1-111-1-1
χ611111111-1-111-1-1-1-111-1-1-1111-1-11111111111-1-111-1-1-1-111-1-1-1111-1-111
χ711111111-1-1-1-1-1-11111111-1-1-1-1-11111111111-1-1-1-1-1-11111111-1-1-1-1-111
χ811111111-1-1-1-1-1-11111-1-11-11111-1-111111111-1-1-1-1-1-11111-1-11-11111-1-1
χ9222222222200-2-200-2-20000000000222222222200-2-200-2-20000000000
χ1022222222-2-2002200-2-2000000000022222222-2-2002200-2-20000000000
χ11222222-2-200000022-2200-20000000222222-2-200000022-2200-20000000
χ12222222-2-2000000-2-2-220020000000222222-2-2000000-2-2-220020000000
χ13222222-2-2002200002-2000-2000000222222-2-2002200002-2000-2000000
χ14222222-2-200-2-200002-20002000000222222-2-200-2-200002-20002000000
χ1522-2-22-2-2200002-20000000000i2−i2i2−i222-2-22-2-2200002-20000000000i2−i2i2−i2
χ1622-2-22-2-2200002-20000000000−i2i2−i2i222-2-22-2-2200002-20000000000−i2i2−i2i2
χ1722-2-22-2-220000-220000000000i2−i2−i2i222-2-22-2-220000-220000000000i2−i2−i2i2
χ1822-2-22-2-220000-220000000000−i2i2i2−i222-2-22-2-220000-220000000000−i2i2i2−i2
χ194444-4-40000000000002-2000000004444-4-40000000000002-200000000
χ204444-4-4000000000000-22000000004444-4-4000000000000-2200000000
χ2144-4-44-44-40000000000000000000044-4-44-44-400000000000000000000
χ2244-4-4-4400000000000000002i−2i000044-4-4-4400000000000000002i−2i0000
χ2344-4-4-440000000000000000−2i2i000044-4-4-440000000000000000−2i2i0000
χ244-44-400002i−2i2i−2i002-20000000000004-44-400002i−2i2i−2i002-2000000000000
χ254-44-400002i−2i−2i2i00-220000000000004-44-400002i−2i−2i2i00-22000000000000
χ264-44-40000−2i2i2i−2i00-220000000000004-44-40000−2i2i2i−2i00-22000000000000
χ274-44-40000−2i2i−2i2i002-20000000000004-44-40000−2i2i−2i2i002-2000000000000
χ288-8-880000000000000000000000008-8-88000000000000000000000000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ30111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ311111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111
χ321111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ3311111111-1-111-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111
χ3411111111-1-111-1-1-1-111-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-111-1-1
χ3511111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-1
χ3611111111-1-1-1-1-1-11111-1-11-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-111
χ37222222222200-2-200-2-20000000000-2-2-2-2-2-2-2-2-2-2002200220000000000
χ3822222222-2-2002200-2-20000000000-2-2-2-2-2-2-2-22200-2-200220000000000
χ39222222-2-200000022-2200-20000000-2-2-2-2-2-222000000-2-22-20020000000
χ40222222-2-2000000-2-2-220020000000-2-2-2-2-2-222000000222-200-20000000
χ41222222-2-2002200002-2000-2000000-2-2-2-2-2-22200-2-20000-220002000000
χ42222222-2-200-2-200002-20002000000-2-2-2-2-2-22200220000-22000-2000000
χ4322-2-22-2-2200002-20000000000i2−i2i2−i2-2-222-222-20000-220000000000−i2i2−i2i2
χ4422-2-22-2-2200002-20000000000−i2i2−i2i2-2-222-222-20000-220000000000i2−i2i2−i2
χ4522-2-22-2-220000-220000000000i2−i2−i2i2-2-222-222-200002-20000000000−i2i2i2−i2
χ4622-2-22-2-220000-220000000000−i2i2i2−i2-2-222-222-200002-20000000000i2−i2−i2i2
χ474444-4-40000000000002-200000000-4-4-4-444000000000000-2200000000
χ484444-4-4000000000000-2200000000-4-4-4-4440000000000002-200000000
χ4944-4-44-44-400000000000000000000-4-444-44-4400000000000000000000
χ5044-4-4-4400000000000000002i−2i0000-4-4444-40000000000000000−2i2i0000
χ5144-4-4-440000000000000000−2i2i0000-4-4444-400000000000000002i−2i0000
χ524-44-400002i−2i2i−2i002-2000000000000-44-440000−2i2i−2i2i00-22000000000000
χ534-44-400002i−2i−2i2i00-22000000000000-44-440000−2i2i2i−2i002-2000000000000
χ544-44-40000−2i2i2i−2i00-22000000000000-44-4400002i−2i−2i2i002-2000000000000
χ554-44-40000−2i2i−2i2i002-2000000000000-44-4400002i−2i2i−2i00-22000000000000
χ568-8-88000000000000000000000000-888-8000000000000000000000000

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