Finite Group Databasebeta

← Group #326952

Character table — Group #326952

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444244444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1111111-111-1-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1111111-111-1-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-1111111-111-1-1-11-11-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-1111111-111-1-1-11-11-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-1-1111-1-111-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-1-1111-1-111-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-1-111-111-1-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-1-111-111-1-111-1-1-11111-1-111-1-1-11
χ17222222222222-2-2-2-2-2-222-22-22-20000000000000000000000
χ18222222222222-2-2-2-2-2-222-2-22-220000000000000000000000
χ192222222222-2-22222-2-2-2-2-20000002200-2-200000000000000
χ202222222222-2-22222-2-2-2-2-2000000-2-2002200000000000000
χ212222222222-2-2-2-2-2-222-2-2200002-200-220000000000000000
χ222222222222-2-2-2-2-2-222-2-220000-22002-20000000000000000
χ2322222222-2-22222-2-222-2-2-200002200-2-20000000000000000
χ2422222222-2-22222-2-222-2-2-20000-2-200220000000000000000
χ2522222222-2-222-2-222-2-2-2-220000002-200-2200000000000000
χ2622222222-2-222-2-222-2-2-2-22000000-22002-200000000000000
χ2722222222-2-2-2-222-2-2-2-22222-2-220000000000000000000000
χ2822222222-2-2-2-222-2-2-2-2222-222-20000000000000000000000
χ29444-4-44-4-4004-40000000000000000000002-22-20000000000
χ30444-4-44-4-4004-4000000000000000000000-22-220000000000
χ31444-4-44-4-400-440000000000000000000002-2-220000000000
χ32444-4-44-4-400-44000000000000000000000-222-20000000000
χ3344-44-4-44-44-40000000000000000000000000002-22-2000000
χ3444-44-4-44-44-4000000000000000000000000000-22-22000000
χ3544-44-4-44-4-440000000000000000000000000002-2-22000000
χ3644-44-4-44-4-44000000000000000000000000000-222-2000000
χ3744-4-44-4-4400004-40000000000000000000000000002i−2i2i−2i00
χ3844-4-44-4-4400004-4000000000000000000000000000−2i2i−2i2i00
χ3944-4-44-4-440000-440000000000000000000000000002i−2i−2i2i00
χ4044-4-44-4-440000-44000000000000000000000000000−2i2i2i−2i00
χ414-4-4-4-44440000004-44-44-4000000000000000000000000000
χ424-4-4-4-44440000004-4-44-44000000000000000000000000000
χ434-4-4-4-4444000000-444-4-44000000000000000000000000000
χ444-4-4-4-4444000000-44-444-4000000000000000000000000000
χ458-888-8-8-88000000000000000000000000000000000000000
χ468-88-88-88-8000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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