Finite Group Databasebeta

← Group #326887

Character table — Group #326887

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222224444444444422224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ6111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1111-1-11-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1111111-11-11-111-11-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1111111-11-11-111-11-1-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-1111111-11-1-11-1-111-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-1111111-11-1-11-1-111-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-111-1-1-11-1111-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-111-1-1-11-1111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-11-1111-1-11-1-1111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-11-1111-1-11-1-11-1-11111-1-111-1-1-11
χ17222222222222-2-2-2-222-2-2-22-200000-2200000000000000000
χ18222222222222-2-2-2-222-2-2-2-22000002-200000000000000000
χ192222222222-2-222-2-2-2-222-20022000000-2-200000000000000
χ202222222222-2-222-2-2-2-222-200-2-20000002200000000000000
χ212222222222-2-2-2-222-2-2-2-2200002-2200-20000000000000000
χ222222222222-2-2-2-222-2-2-2-220000-22-20020000000000000000
χ2322222222-2-2222222-2-2-2-2-200002-2-20020000000000000000
χ2422222222-2-2222222-2-2-2-2-20000-22200-20000000000000000
χ2522222222-2-222-2-2-2-2-2-2222002-2000000-2200000000000000
χ2622222222-2-222-2-2-2-2-2-222200-220000002-200000000000000
χ2722222222-2-2-2-222-2-222-2-222200000-2-200000000000000000
χ2822222222-2-2-2-222-2-222-2-22-2-2000002200000000000000000
χ29444-4-44-4-4004i−4i0000000000000000000002i−2i2-20000000000
χ30444-4-44-4-4004i−4i000000000000000000000−2i2i-220000000000
χ31444-4-44-4-400−4i4i0000000000000000000002i−2i-220000000000
χ32444-4-44-4-400−4i4i000000000000000000000−2i2i2-20000000000
χ3344-44-4-44-44-400000000000000000000000000000002i−2i2i−2i00
χ3444-44-4-44-44-40000000000000000000000000000000−2i2i−2i2i00
χ3544-44-4-44-4-4400000000000000000000000000000002i−2i−2i2i00
χ3644-44-4-44-4-440000000000000000000000000000000−2i2i2i−2i00
χ374-44-4-4-4440000004-44-44-4000000000000000000000000000
χ384-44-4-4-4440000004-4-44-44000000000000000000000000000
χ394-44-4-4-444000000-444-4-44000000000000000000000000000
χ404-44-4-4-444000000-44-444-4000000000000000000000000000
χ414-4-44-44-4400004-4000000000000000000000002-22-2000000
χ424-4-44-44-4400004-400000000000000000000000-22-22000000
χ434-4-44-44-440000-44000000000000000000000002-2-22000000
χ444-4-44-44-440000-4400000000000000000000000-222-2000000
χ4588-8-88-8-88000000000000000000000000000000000000000
χ468-8888-8-8-8000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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