Finite Group Databasebeta

← Group #176338

Character table — Group #176338

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444422222244442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-1111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-1111111-1-11-1-1-1-11-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-1-1-111-1-111-111-1-1-111111111-1-1-1-1-1-1
χ8111111111111111111-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-1111111
χ911111111-1-11-1-11111111-1-111-1-1-1-11-111-11-1-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-11111111-1-111-1-1-1-11-111-11-1-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-11111111-1-1-1-1-1-111-11-1-111-1111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-11-1-111-11-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-11111-1-1-1-1-111-11-11-111-1-1-1-111-1-1111-1
χ1411111111-1-11-1-111111-1-11111-1-1-1-1-111-11-11-1-1-11111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1-1-111-11
χ1611111111-1-11-1-111111-1-111-1-1-1-1111-1-11-1-111-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-2-2-220000002-2002-20-2200000000000000000
χ1822222222222-2-2-2-2-2-220000002-200-2202-200000000000000000
χ192222222222-222-2-222-2222200-2-20000000-2-2000000000000000
χ202222222222-222-2-222-2-2-2-2-200-2-2000000022000000000000000
χ212222222222-2-2-222-2-2-2000022-222200-20000-200000000000000
χ222222222222-2-2-222-2-2-20000-2-2-22-2-20020000200000000000000
χ2322222222-2-2222-2-2-2-22000000-2200220-2-200000000000000000
χ2422222222-2-2222-2-2-2-22000000-2200-2-202200000000000000000
χ2522222222-2-2-22222-2-2-20000222-2-2-200-20000200000000000000
χ2622222222-2-2-22222-2-2-20000-2-22-2220020000-200000000000000
χ2722222222-2-2-2-2-2-2-222-222-2-200220000000-22000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-222002200000002-2000000000000000
χ29444-4-44-4-44-400000000000000000000000000000000002i−2i2i−2i00
χ30444-4-44-4-44-40000000000000000000000000000000000−2i2i−2i2i00
χ31444-4-44-4-4-4400000000000000000000000000000000002i−2i−2i2i00
χ32444-4-44-4-4-440000000000000000000000000000000000−2i2i2i−2i00
χ3344-4-4-4-4440004-40000000000000000000000000002-22-2000000
χ3444-4-4-4-4440004-4000000000000000000000000000-22-22000000
χ3544-4-4-4-444000-440000000000000000000000000002-2-22000000
χ3644-4-4-4-444000-44000000000000000000000000000-222-2000000
χ374-444-4-44-4004000000-4000000000000000000002i2−2i20000000000
χ384-444-4-44-4004000000-400000000000000000000−2i22i20000000000
χ394-444-4-44-400-4000000400000000000000000022−22000000000000
χ404-444-4-44-400-40000004000000000000000000−2222000000000000
χ414-4-44-44-4400000004-40004-40000000000000000000000000000
χ424-4-44-44-4400000004-4000-440000000000000000000000000000
χ434-4-44-44-440000000-4404-4000000000000000000000000000000
χ444-4-44-44-440000000-440-44000000000000000000000000000000
χ454-4-4-4444-4000004-4000000000004-40000000000000000000000
χ464-4-4-4444-4000004-400000000000-440000000000000000000000
χ474-4-4-4444-400000-4400000004-400000000000000000000000000
χ484-4-4-4444-400000-440000000-4400000000000000000000000000
χ4988-888-8-8-8000000000000000000000000000000000000000000
χ508-88-88-8-88000000000000000000000000000000000000000000

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