Finite Group Databasebeta

← Group #176541

Character table — Group #176541

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444422224444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1
χ8111111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-111111111-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-11-111-1-1111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-11-111-1-11-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-111-1-111-1-11-1-11-11-1111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-1111111-1-111-1-111-1-11-1-11-11-11-1-11111-1-111-1-1-11
χ1511111111-1-1-1-1111111-1-111-1-1-1-111-111-1-111-111-1-111-1-1-1-111-11
χ1611111111-1-1-1-1111111-1-111-1-1-1-111-111-1-111-1-1-111-1-11111-1-11-1
χ17222222222222-222-2-2-22222-2-200000000-2-20000000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-200000000220000000000000000
χ192222222222-2-22-2-2-2-2200002-20000002-200-2200000000000000
χ202222222222-2-22-2-2-2-2200002-2000000-22002-200000000000000
χ212222222222-2-2-2-2-222-20000-222222-2-200000000000000000000
χ222222222222-2-2-2-2-222-20000-22-2-2-2-22200000000000000000000
χ2322222222-2-2222-2-2-2-220000-220000002200-2-200000000000000
χ2422222222-2-2222-2-2-2-220000-22000000-2-2002200000000000000
χ2522222222-2-222-2-2-222-200002-222-2-2-2200000000000000000000
χ2622222222-2-222-2-2-222-200002-2-2-2222-200000000000000000000
χ2722222222-2-2-2-2-222-2-2-222-2-22200000000-220000000000000000
χ2822222222-2-2-2-2-222-2-2-2-2-22222000000002-20000000000000000
χ29444-44-4-4-4000004-4000004-40000000000000000000000000000
χ30444-44-4-4-4000004-400000-440000000000000000000000000000
χ31444-44-4-4-400000-440004-4000000000000000000000000000000
χ32444-44-4-4-400000-44000-44000000000000000000000000000000
χ3344-4-4-44-44000040000-4000000000000000000002i2−2i20000000000
χ3444-4-4-44-44000040000-400000000000000000000−2i22i20000000000
χ3544-4-4-44-440000-40000400000000000000000022−22000000000000
χ3644-4-4-44-440000-400004000000000000000000−2222000000000000
χ374-444-4-4-44004-400000000000000000000000000002i−2i2i−2i000000
χ384-444-4-4-44004-40000000000000000000000000000−2i2i−2i2i000000
χ394-444-4-4-4400-4400000000000000000000000000002i−2i−2i2i000000
χ404-444-4-4-4400-440000000000000000000000000000−2i2i2i−2i000000
χ414-4-4444-4-44-400000000000000000000000000000000002i−2i2i−2i00
χ424-4-4444-4-44-40000000000000000000000000000000000−2i2i−2i2i00
χ434-4-4444-4-4-4400000000000000000000000000000000002i−2i−2i2i00
χ444-4-4444-4-4-440000000000000000000000000000000000−2i2i2i−2i00
χ454-4-4-44-44400000004-40000000004-40000000000000000000000
χ464-4-4-44-44400000004-4000000000-440000000000000000000000
χ474-4-4-44-4440000000-4400000004-4000000000000000000000000
χ484-4-4-44-4440000000-440000000-44000000000000000000000000
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ508-88-8-888-8000000000000000000000000000000000000000000

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