Finite Group Databasebeta

← Group #484580

Character table — Group #484580

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111224488888888881616161616161616161611112244888888888816161616161616161616
order12222222224444444424444488882222222222444444442444448888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-11-11-1-1-1-1-1-1111111111111111111-11-11-1-1-1-1-1-1
χ31111111111-1-1-1-1-1-1111-111-1-111-1-11111111111-1-1-1-1-1-1111-111-1-111-1-1
χ41111111111-1-1-1-1-1-111-1-1-1111-1-1111111111111-1-1-1-1-1-111-1-1-1111-1-111
χ511111111-1-11111-1-1111-11-111-1-1-1-111111111-1-11111-1-1111-11-111-1-1-1-1
χ611111111-1-11111-1-111-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-1-1-11111
χ711111111-1-1-1-1-1-11111111-1-1-1-1-11111111111-1-1-1-1-1-11111111-1-1-1-1-111
χ811111111-1-1-1-1-1-11111-11-1-11111-1-111111111-1-1-1-1-1-11111-11-1-11111-1-1
χ9222222220022-2-200-2-20000000000222222220022-2-200-2-20000000000
χ102222222200-2-22200-2-200000000002222222200-2-22200-2-20000000000
χ11222222-2-200000022-220-200000000222222-2-200000022-220-200000000
χ12222222-2-2000000-2-2-220200000000222222-2-2000000-2-2-220200000000
χ13222222-2-2220000002-2000-2000000222222-2-2220000002-2000-2000000
χ14222222-2-2-2-20000002-20002000000222222-2-2-2-20000002-20002000000
χ152-2-22-22-2200002-200000000002−22−22-2-22-22-2200002-200000000002−22−2
χ162-2-22-22-2200002-20000000000−22−222-2-22-22-2200002-20000000000−22−22
χ172-2-22-22-220000-2200000000002−2−222-2-22-22-220000-2200000000002−2−22
χ182-2-22-22-220000-220000000000−222−22-2-22-22-220000-220000000000−222−2
χ194444-4-400000000000020-200000004444-4-400000000000020-20000000
χ204444-4-4000000000000-20200000004444-4-4000000000000-2020000000
χ2144-4-400002-22i−2i002i−2i00000000000044-4-400002-22i−2i002i−2i000000000000
χ2244-4-400002-2−2i2i00−2i2i00000000000044-4-400002-2−2i2i00−2i2i000000000000
χ2344-4-40000-222i−2i00−2i2i00000000000044-4-40000-222i−2i00−2i2i000000000000
χ2444-4-40000-22−2i2i002i−2i00000000000044-4-40000-22−2i2i002i−2i000000000000
χ254-4-444-400000000000000002i−2i00004-4-444-400000000000000002i−2i0000
χ264-4-444-40000000000000000−2i2i00004-4-444-40000000000000000−2i2i0000
χ274-4-44-444-4000000000000000000004-4-44-444-400000000000000000000
χ288-88-80000000000000000000000008-88-8000000000000000000000000
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
χ30111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111
χ311111111111-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-111
χ321111111111-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1-1
χ3311111111-1-11111-1-1111-11-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-11-1-11111
χ3411111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1
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
χ3611111111-1-1-1-1-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-1-1-111
χ37222222220022-2-200-2-20000000000-2-2-2-2-2-2-2-200-2-22200220000000000
χ382222222200-2-22200-2-20000000000-2-2-2-2-2-2-2-20022-2-200220000000000
χ39222222-2-200000022-220-200000000-2-2-2-2-2-222000000-2-22-20200000000
χ40222222-2-2000000-2-2-220200000000-2-2-2-2-2-222000000222-20-200000000
χ41222222-2-2220000002-2000-2000000-2-2-2-2-2-222-2-2000000-220002000000
χ42222222-2-2-2-20000002-20002000000-2-2-2-2-2-22222000000-22000-2000000
χ432-2-22-22-2200002-200000000002−22−2-222-22-22-20000-220000000000−22−22
χ442-2-22-22-2200002-20000000000−22−22-222-22-22-20000-2200000000002−22−2
χ452-2-22-22-220000-2200000000002−2−22-222-22-22-200002-20000000000−222−2
χ462-2-22-22-220000-220000000000−222−2-222-22-22-200002-200000000002−2−22
χ474444-4-400000000000020-20000000-4-4-4-444000000000000-2020000000
χ484444-4-4000000000000-2020000000-4-4-4-44400000000000020-20000000
χ4944-4-400002-22i−2i002i−2i000000000000-4-4440000-22−2i2i00−2i2i000000000000
χ5044-4-400002-2−2i2i00−2i2i000000000000-4-4440000-222i−2i002i−2i000000000000
χ5144-4-40000-222i−2i00−2i2i000000000000-4-44400002-2−2i2i002i−2i000000000000
χ5244-4-40000-22−2i2i002i−2i000000000000-4-44400002-22i−2i00−2i2i000000000000
χ534-4-444-400000000000000002i−2i0000-444-4-440000000000000000−2i2i0000
χ544-4-444-40000000000000000−2i2i0000-444-4-4400000000000000002i−2i0000
χ554-4-44-444-400000000000000000000-444-44-4-4400000000000000000000
χ568-88-8000000000000000000000000-88-88000000000000000000000000

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