Finite Group Databasebeta

← Group #165921

Character table — Group #165921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444222244444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ511111111111111111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11-1-11111111-1-1-1-111-1-111-1-11-1111-1-1-11-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-11111111-1-1-1-111-1-111-1-11-1-1-11-1111-1-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-11111111-1-1-1-1-1-111-1-111-1111-11-1-11-111-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-11111111-1-1-1-1-1-111-1-111-11-1-1-11111-1-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-111111-1-111-1-111-1-1-1-1111-111-11-1-1-11-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-111111-1-111-1-111-1-1-1-1111-1-1-1-1111-1111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-11111-1-1-1-11-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-11-1-11-111-1111-1-111-1-1-1-111
χ17222222222222222-2-2-2-220000-2-2000022220000-2-20000000000000000
χ18222222222222222-2-2-2-220000-2-20000-2-2-2-20000220000000000000000
χ19222222222222-2-2-222-2-2-222222-20000000000000000-2-2000000000000
χ20222222222222-2-2-222-2-2-2-2-2-2-22-2000000000000000022000000000000
χ21222222222222-2-2-2-2-222-20000-2222220000-2-200000000000000000000
χ22222222222222-2-2-2-2-222-20000-22-2-2-2-200002200000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-2-22000022000022-2-20000-220000000000000000
χ2422222222-2-2-2-22-2-2-2-2-2-220000220000-2-22200002-20000000000000000
χ2522222222-2-2-2-2-22222-2-2-222-2-2-220000000000000000-22000000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-222-2200000000000000002-2000000000000
χ2722222222-2-2-2-2-222-2-222-200002-222-2-20000-2200000000000000000000
χ2822222222-2-2-2-2-222-2-222-200002-2-2-22200002-200000000000000000000
χ2922-2-22-2-2222-2-222-20000-200000000002-22-20000000000i2−i2i2−i2i2−i2i2−i20000
χ3022-2-22-2-2222-2-222-20000-200000000002-22-20000000000−i2i2−i2i2−i2i2−i2i20000
χ3122-2-22-2-2222-2-222-20000-20000000000-22-220000000000i2−i2i2−i2−i2i2−i2i20000
χ3222-2-22-2-2222-2-222-20000-20000000000-22-220000000000−i2i2−i2i2i2−i2i2−i20000
χ3322-2-22-2-22-2-2222-220000-200000000002-2-220000000000i2−i2−i2i2i2−i2−i2i20000
χ3422-2-22-2-22-2-2222-220000-200000000002-2-220000000000−i2i2i2−i2−i2i2i2−i20000
χ3522-2-22-2-22-2-2222-220000-20000000000-222-20000000000i2−i2−i2i2−i2i2i2−i20000
χ3622-2-22-2-22-2-2222-220000-20000000000-222-20000000000−i2i2i2−i2i2−i2−i2i20000
χ37444-4-44-4-400000004-4000004-400000000000000000000000000000000
χ38444-4-44-4-400000004-400000-4400000000000000000000000000000000
χ39444-4-44-4-40000000-440004-40000000000000000000000000000000000
χ40444-4-44-4-40000000-44000-440000000000000000000000000000000000
χ4144-4-44-4-4444-4-4-4-4400004000000000000000000000000000000000000
χ4244-4-44-4-44-4-444-44-400004000000000000000000000000000000000000
χ434-4444-4-4-44-44-400000000000000000000000000000000000000002-22-2
χ444-4444-4-4-44-44-40000000000000000000000000000000000000000-22-22
χ454-4444-4-4-4-44-4400000000000000000000000000000000000000002-2-22
χ464-4444-4-4-4-44-440000000000000000000000000000000000000000-222-2
χ474-44-4-4-4440000000004-40000000004-400000000000000000000000000
χ484-44-4-4-4440000000004-4000000000-4400000000000000000000000000
χ494-44-4-4-444000000000-4400000004-40000000000000000000000000000
χ504-44-4-4-444000000000-440000000-440000000000000000000000000000
χ514-4-4-4444-44-4-440000000000000000000000002-2002-200000000000000
χ524-4-4-4444-44-4-44000000000000000000000000-2200-2200000000000000
χ534-4-4-4444-4-444-40000000000000000000000002-200-2200000000000000
χ544-4-4-4444-4-444-4000000000000000000000000-22002-200000000000000
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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