Finite Group Databasebeta

← Group #326931

Character table — Group #326931

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444222224444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
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
χ7111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-1111111-11-11-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1111111-11-11-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-1111111-11-1-11-111-1-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-1111111-11-1-11-111-1-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-111-1-11-11-111-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-111-1-11-11-111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-11-111-1-111-1-1111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-11-111-1-111-1-11-1-11111-1-111-1-1-11
χ17222222222222-2-2-2-2-2-222-20022000000-2-200000000000000
χ18222222222222-2-2-2-2-2-222-200-2-20000002200000000000000
χ192222222222-2-222-2-222-2-2-2220000-2-2000000000000000000
χ202222222222-2-222-2-222-2-2-2-2-2000022000000000000000000
χ212222222222-2-2-2-222-2-2-2-2200002-200-220000000000000000
χ222222222222-2-2-2-222-2-2-2-220000-22002-20000000000000000
χ2322222222-2-2222222-2-2-2-2-200002200-2-20000000000000000
χ2422222222-2-2222222-2-2-2-2-20000-2-200220000000000000000
χ2522222222-2-222-2-2-2-222-2-222-20000-22000000000000000000
χ2622222222-2-222-2-2-2-222-2-22-2200002-2000000000000000000
χ2722222222-2-2-2-222-2-2-2-2222002-2000000-2200000000000000
χ2822222222-2-2-2-222-2-2-2-222200-220000002-200000000000000
χ294444-4-4-4-44-4000000000000000000000002-22-20000000000
χ304444-4-4-4-44-400000000000000000000000-22-220000000000
χ314444-4-4-4-4-44000000000000000000000002-2-220000000000
χ324444-4-4-4-4-4400000000000000000000000-222-20000000000
χ3344-4-444-4-4004-4000000000000000000000000000002i−2i2i−2i00
χ3444-4-444-4-4004-400000000000000000000000000000−2i2i−2i2i00
χ3544-4-444-4-400-44000000000000000000000000000002i−2i−2i2i00
χ3644-4-444-4-400-4400000000000000000000000000000−2i2i2i−2i00
χ3744-4-4-4-44400004-4000000000000000000000002-22-2000000
χ3844-4-4-4-44400004-400000000000000000000000-22-22000000
χ3944-4-4-4-4440000-44000000000000000000000002-2-22000000
χ4044-4-4-4-4440000-4400000000000000000000000-222-2000000
χ414-4-44-44-440000004-44-44-4000000000000000000000000000
χ424-4-44-44-440000004-4-44-44000000000000000000000000000
χ434-4-44-44-44000000-444-4-44000000000000000000000000000
χ444-4-44-44-44000000-44-444-4000000000000000000000000000
χ458-88-88-8-88000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-888-88-8000000000000000000000000000000000000000

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