Finite Group Databasebeta

← Group #328336

Character table — Group #328336

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-11-1-11-11-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-1-11-1-11-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-11-1-1-11-1-11-111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-11-1-11-11-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1111111-1111-1-1-1-1111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1111111-1111-1-1-1-1111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-1111111-11-1-1-1-1111-1-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-1111111-11-1-1-1-1111-1-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-11-111-11-11-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-11-111-11-11-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-1-11111-1-1-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-11111-1-1-111-1-1-11111-1-111-1-1-11
χ17222222222222-2-22-2-22-2-2-2002000200-20-200000000000000
χ18222222222222-2-22-2-22-2-2-200-2000-20020200000000000000
χ192222222222-2-222-22-2-22-2-202000-200-202000000000000000
χ202222222222-2-222-22-2-22-2-20-200020020-2000000000000000
χ212222222222-2-2-2-2-2-22-2-2222002-200-2000000000000000000
χ222222222222-2-2-2-2-2-22-2-222-200-22002000000000000000000
χ2322222222-2-22222-2-22-2-22-2200-2200-2000000000000000000
χ2422222222-2-22222-2-22-2-22-2-2002-2002000000000000000000
χ2522222222-2-222-2-2-22-2-22-2202000200-20-2000000000000000
χ2622222222-2-222-2-2-22-2-22-220-2000-200202000000000000000
χ2722222222-2-2-2-2222-2-22-2-22002000-200-20200000000000000
χ2822222222-2-2-2-2222-2-22-2-2200-200020020-200000000000000
χ29444-44-4-4-4004-40000000000000000000002-22-20000000000
χ30444-44-4-4-4004-4000000000000000000000-22-220000000000
χ31444-44-4-4-400-440000000000000000000002-2-220000000000
χ32444-44-4-4-400-44000000000000000000000-222-20000000000
χ3344-44-44-4-44-40000000000000000000000000002-22-2000000
χ3444-44-44-4-44-4000000000000000000000000000-22-22000000
χ3544-44-44-4-4-440000000000000000000000000002-2-22000000
χ3644-44-44-4-4-44000000000000000000000000000-222-2000000
χ374-444-4-4-4400004-40000000000000000000000000002i−2i2i−2i00
χ384-444-4-4-4400004-4000000000000000000000000000−2i2i−2i2i00
χ394-444-4-4-440000-440000000000000000000000000002i−2i−2i2i00
χ404-444-4-4-440000-44000000000000000000000000000−2i2i2i−2i00
χ414-4-4-444-44000000444-4-4-4000000000000000000000000000
χ424-4-4-444-440000004-4-4-444000000000000000000000000000
χ434-4-4-444-44000000-44-44-44000000000000000000000000000
χ444-4-4-444-44000000-4-4444-4000000000000000000000000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-888-88-8000000000000000000000000000000000000000

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