Finite Group Databasebeta

← Group #179393

Character table — Group #179393

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444442442444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-11-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-11-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-111-1-111-11-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-111-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1111111-1-1-1111-1-1-11-111-111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1111111-1-1-1111-1-1-11-1-1-1-111-111-1-111-1-111-1-111
χ1111111111-1-1111111-1-1-111-1-111-1111-1-1-11-1-1-1-11111-1-1-1-111
χ1211111111-1-1111111-1-1-111-1-111-11-1-1-1-1-111111-1-1-1-11111-1-1
χ1311111111-1-1111111-1-1-1-1-111-1-1-111111-11-1-111-1-1-1-111-1-111
χ1411111111-1-1111111-1-1-1-1-111-1-1-11-1-111-1111-1-11111-1-111-1-1
χ1511111111-1-1111111-1-1-1-1-1-11111-1111-11-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1111111-1-1-1-1-1-11111-1-1-11-11-11111-1-111-1-1-1-111
χ1722222222222-2-2-22-2-2-22000000220000-2-200000000000000
χ1822222222222-2-2-22-2-2-22000000-2-200002200000000000000
χ192222222222-22-2-2-22-22-22-20-2000000200000000000000000
χ202222222222-22-2-2-22-22-2-2202000000-200000000000000000
χ212222222222-2-222-2-22-2-200202-200000-20000000000000000
χ222222222222-2-222-2-22-2-200-20-220000020000000000000000
χ2322222222-2-22-2-2-22-222-20000002-20000-2200000000000000
χ2422222222-2-22-2-2-22-222-2000000-2200002-200000000000000
χ2522222222-2-2-22-2-2-222-222-202000000-200000000000000000
χ2622222222-2-2-22-2-2-222-22-220-2000000200000000000000000
χ2722222222-2-2-2-222-2-2-2220020-2200000-20000000000000000
χ2822222222-2-2-2-222-2-2-22200-202-20000020000000000000000
χ294444-4-4-4-400004-40000000000000000000000000000022−2200
χ304444-4-4-4-400004-400000000000000000000000000000−222200
χ314444-4-4-4-40000-44000000000000000000000000000000022−22
χ324444-4-4-4-40000-440000000000000000000000000000000−2222
χ3344-4-44-44-4004000-400000000000000000000000022−22000000
χ3444-4-44-44-4004000-4000000000000000000000000−2222000000
χ3544-4-44-44-400-40004000000000000000000000000002i2−2i20000
χ3644-4-44-44-400-4000400000000000000000000000000−2i22i20000
χ374-44-44-4-440004000-400000000000000000002i2−2i20000000000
χ384-44-44-4-440004000-40000000000000000000−2i22i20000000000
χ394-44-44-4-44000-4000400000000000000000000022−2200000000
χ404-44-44-4-44000-40004000000000000000000000−222200000000
χ414-4-44-4-4444-4000000000000000002-200002-2000000000000
χ424-4-44-4-4444-400000000000000000-220000-22000000000000
χ434-4-44-4-444-44000000000000000002-20000-22000000000000
χ444-4-44-4-444-4400000000000000000-2200002-2000000000000
χ4588-8-8-88-88000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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