Finite Group Databasebeta

← Group #176337

Character table — Group #176337

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444422222244442244444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-1111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1-1-1111111-1-11-1-11-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1
χ8111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ911111111-1-11-1-11111111-1-111-1-1-1-11-111-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-11111111-1-111-1-1-1-11-111-1-11-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-11111111-1-1-1-1-1-111-11-11-11-1111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-11-11-11-11-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-11111-1-1-1-1-111-11-1-1111-1-1-1-111-1-1111-1
χ1411111111-1-11-1-111111-1-11111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-111-1-1-1-1111-1-1-1111-111-1-111-1-1-1-111-11
χ1611111111-1-11-1-111111-1-111-1-1-1-1111-1-1-1111-1-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-2-2-220000002-2002-20000-2200000000000000
χ1822222222222-2-2-2-2-2-220000002-200-2200002-200000000000000
χ192222222222-222-2-222-2222200-2-200000-2-200000000000000000
χ202222222222-222-2-222-2-2-2-2-200-2-2000002200000000000000000
χ212222222222-2-2-222-2-2-2000022-222200-200-20000000000000000
χ222222222222-2-2-222-2-2-20000-2-2-22-2-20020020000000000000000
χ2322222222-2-2222-2-2-2-22000000-2200220000-2-200000000000000
χ2422222222-2-2222-2-2-2-22000000-2200-2-200002200000000000000
χ2522222222-2-2-22222-2-2-20000222-2-2-200-20020000000000000000
χ2622222222-2-2-22222-2-2-20000-2-22-22200200-20000000000000000
χ2722222222-2-2-2-2-2-2-222-222-2-2002200000-2200000000000000000
χ2822222222-2-2-2-2-2-2-222-2-2-2220022000002-200000000000000000
χ29444-44-4-4-4004000000-4000000000000000000002i2−2i20000000000
χ30444-44-4-4-4004000000-400000000000000000000−2i22i20000000000
χ31444-44-4-4-400-4000000400000000000000000022−22000000000000
χ32444-44-4-4-400-40000004000000000000000000−2222000000000000
χ3344-4-4-44-4400000004-40004-40000000000000000000000000000
χ3444-4-4-44-4400000004-4000-440000000000000000000000000000
χ3544-4-4-44-440000000-4404-4000000000000000000000000000000
χ3644-4-4-44-440000000-440-44000000000000000000000000000000
χ374-44-4-4-4444-400000000000000000000000000000000002-22-200
χ384-44-4-4-4444-40000000000000000000000000000000000-22-2200
χ394-44-4-4-444-4400000000000000000000000000000000002-2-2200
χ404-44-4-4-444-440000000000000000000000000000000000-222-200
χ414-4-444-4-44000004-4000000000004-40000000000000000000000
χ424-4-444-4-44000004-400000000000-440000000000000000000000
χ434-4-444-4-4400000-4400000004-400000000000000000000000000
χ444-4-444-4-4400000-440000000-4400000000000000000000000000
χ454-4-4-4444-40004-40000000000000000000000000002-22-2000000
χ464-4-4-4444-40004-4000000000000000000000000000-22-22000000
χ474-4-4-4444-4000-440000000000000000000000000002-2-22000000
χ484-4-4-4444-4000-44000000000000000000000000000-222-2000000
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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