Finite Group Databasebeta

← Group #484255

Character table — Group #484255

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111224488888888881616161616161616161611112244888888888816161616161616161616
order12222244224444444444448888882222224422444444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-1-1-1111111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-1
χ41111111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111
χ511111111-1-111-1-1-1-111111-1-1-111-1-111111111-1-111-1-1-1-111111-1-1-111-1-1
χ611111111-1-111-1-1-1-111-1-11-111-1-11111111111-1-111-1-1-1-111-1-11-111-1-111
χ711111111-1-1-1-111-1-11111-11-1-1-1-11111111111-1-1-1-111-1-11111-11-1-1-1-111
χ811111111-1-1-1-111-1-111-1-1-111111-1-111111111-1-1-1-111-1-111-1-1-111111-1-1
χ922222222220000-2-2-2-2000000000022222222220000-2-2-2-20000000000
χ1022222222-2-2000022-2-2000000000022222222-2-2000022-2-20000000000
χ11222222-2-2000022002-2000-2000000222222-2-2000022002-2000-2000000
χ12222222-2-20000-2-2002-20002000000222222-2-20000-2-2002-20002000000
χ13222222-2-200220000-2200-20000000222222-2-200220000-2200-20000000
χ14222222-2-200-2-20000-220020000000222222-2-200-2-20000-220020000000
χ152-2-22-222-22-200000000000000i2−i2i2−i22-2-22-222-22-200000000000000i2−i2i2−i2
χ162-2-22-222-22-200000000000000−i2i2−i2i22-2-22-222-22-200000000000000−i2i2−i2i2
χ172-2-22-222-2-2200000000000000i2−i2−i2i22-2-22-222-2-2200000000000000i2−i2−i2i2
χ182-2-22-222-2-2200000000000000−i2i2i2−i22-2-22-222-2-2200000000000000−i2i2i2−i2
χ194444-4-40000000000002-2000000004444-4-40000000000002-200000000
χ204444-4-4000000000000-22000000004444-4-4000000000000-2200000000
χ214-44-40000002i−2i2i−2i2-20000000000004-44-40000002i−2i2i−2i2-2000000000000
χ224-44-40000002i−2i−2i2i-220000000000004-44-40000002i−2i−2i2i-22000000000000
χ234-44-4000000−2i2i2i−2i-220000000000004-44-4000000−2i2i2i−2i-22000000000000
χ244-44-4000000−2i2i−2i2i2-20000000000004-44-4000000−2i2i−2i2i2-2000000000000
χ254-4-444-400000000000000002i−2i00004-4-444-400000000000000002i−2i0000
χ264-4-444-40000000000000000−2i2i00004-4-444-40000000000000000−2i2i0000
χ274-4-44-44-44000000000000000000004-4-44-44-4400000000000000000000
χ2888-8-800000000000000000000000088-8-8000000000000000000000000
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
χ30111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ311111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111
χ321111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ3311111111-1-111-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111
χ3411111111-1-111-1-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-11-1-111-1-1
χ3511111111-1-1-1-111-1-11111-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11-11111-1-1
χ3611111111-1-1-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-111
χ3722222222220000-2-2-2-20000000000-2-2-2-2-2-2-2-2-2-2000022220000000000
χ3822222222-2-2000022-2-20000000000-2-2-2-2-2-2-2-2220000-2-2220000000000
χ39222222-2-2000022002-2000-2000000-2-2-2-2-2-2220000-2-200-220002000000
χ40222222-2-20000-2-2002-20002000000-2-2-2-2-2-22200002200-22000-2000000
χ41222222-2-200220000-2200-20000000-2-2-2-2-2-22200-2-200002-20020000000
χ42222222-2-200-2-20000-220020000000-2-2-2-2-2-222002200002-200-20000000
χ432-2-22-222-22-200000000000000i2−i2i2−i2-222-22-2-22-2200000000000000−i2i2−i2i2
χ442-2-22-222-22-200000000000000−i2i2−i2i2-222-22-2-22-2200000000000000i2−i2i2−i2
χ452-2-22-222-2-2200000000000000i2−i2−i2i2-222-22-2-222-200000000000000−i2i2i2−i2
χ462-2-22-222-2-2200000000000000−i2i2i2−i2-222-22-2-222-200000000000000i2−i2−i2i2
χ474444-4-40000000000002-200000000-4-4-4-444000000000000-2200000000
χ484444-4-4000000000000-2200000000-4-4-4-4440000000000002-200000000
χ494-44-40000002i−2i2i−2i2-2000000000000-44-44000000−2i2i−2i2i-22000000000000
χ504-44-40000002i−2i−2i2i-22000000000000-44-44000000−2i2i2i−2i2-2000000000000
χ514-44-4000000−2i2i2i−2i-22000000000000-44-440000002i−2i−2i2i2-2000000000000
χ524-44-4000000−2i2i−2i2i2-2000000000000-44-440000002i−2i2i−2i-22000000000000
χ534-4-444-400000000000000002i−2i0000-444-4-440000000000000000−2i2i0000
χ544-4-444-40000000000000000−2i2i0000-444-4-4400000000000000002i−2i0000
χ554-4-44-44-4400000000000000000000-444-44-44-400000000000000000000
χ5688-8-8000000000000000000000000-8-888000000000000000000000000

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