Finite Group Databasebeta

← Group #179263

Character table — Group #179263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222224444444442444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-11-1-11-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1111-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1111-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-1-111-1-11-111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-1-111-1-11-11-1-1-1-111111111-1-1-1-1
χ911111111-1-1111111-1-1-11111-11-1-1-11-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1111111-1-1-11111-11-1-1-11-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1111111-1-1-111-1-11-11-11-1-1111-1-111-1-1-1-111-1-111
χ1211111111-1-1111111-1-1-111-1-11-11-11-1-11-1-111-1-11111-1-111-1-1
χ1311111111-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1111111-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1111111-1-1-1-1-1-1-111-11111-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1111111-1-1-1-1-1-1-111-11111-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-22-2-2002-22000-20000000000000000000
χ18222222222222-2-2-2-22-2-200-22-200020000000000000000000
χ192222222222-2-222-2-2-22-22-200000200-200000000000000000
χ202222222222-2-222-2-2-22-2-2200000-200200000000000000000
χ212222222222-2-2-2-222-2-22000002-200-2020000000000000000
χ222222222222-2-2-2-222-2-2200000-220020-20000000000000000
χ2322222222-2-222-2-2-2-2-222002-2-200020000000000000000000
χ2422222222-2-222-2-2-2-2-22200-222000-20000000000000000000
χ2522222222-2-2-2-222-2-22-222-200000-200200000000000000000
χ2622222222-2-2-2-222-2-22-22-2200000200-200000000000000000
χ2722222222-2-2-2-2-2-22222-2000002200-20-20000000000000000
χ2822222222-2-2-2-2-2-22222-200000-2-2002020000000000000000
χ294444-4-4-4-4004-4000000000000000000000000000000022−2200
χ304444-4-4-4-4004-40000000000000000000000000000000−222200
χ314444-4-4-4-400-4400000000000000000000000000000000022−22
χ324444-4-4-4-400-44000000000000000000000000000000000−2222
χ3344-4-44-4-4400004-400000000000000000000000002i2−2i2000000
χ3444-4-44-4-4400004-40000000000000000000000000−2i22i2000000
χ3544-4-44-4-440000-440000000000000000000000000002i2−2i20000
χ3644-4-44-4-440000-44000000000000000000000000000−2i22i20000
χ374-44-44-44-44-40000000000000000000002i−2i2i−2i000000000000
χ384-44-44-44-44-4000000000000000000000−2i2i−2i2i000000000000
χ394-44-44-44-4-440000000000000000000002i−2i−2i2i000000000000
χ404-44-44-44-4-44000000000000000000000−2i2i2i−2i000000000000
χ414-4-44-4-4440000004-400000000000000000000022−2200000000
χ424-4-44-4-4440000004-4000000000000000000000−222200000000
χ434-4-44-4-444000000-44000000000000000000022−220000000000
χ444-4-44-4-444000000-440000000000000000000−22220000000000
χ4588-8-8-888-8000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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