Finite Group Databasebeta

← Group #169481

Character table — Group #169481

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-111-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-111-1-111-11-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111-1-111-1-111-11-1-11-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111
χ911111111-1-11-1-111111-1-11111-1-1-1-1111-1-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-11-1-111111-1-11111-1-1-1-1111-1-1-1-11-1-111-1-111-1-111-11
χ1111111111-1-11-1-111111-1-111-1-1-1-1111-1-1-1111-111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-111111-1-111-1-1-1-1111-1-1-1111-1-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-1-1-11111-1-1-11-11-111-111-1-1-1-111-1-1111-1
χ1411111111-1-11-1-111111-1-1-1-11111-1-1-11-11-111-1-1-11111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-1-1-1-1-11111-1-1111-1-1111-1-111-1-1-1-111-11
χ1611111111-1-11-1-111111-1-1-1-1-1-11111-1-1111-1-11-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-2-2-22-2200000000002002-2-200000000000000
χ1822222222222-2-2-2-2-2-22-220000000000-200-22200000000000000
χ192222222222-22222-2-2-2-2-222002200-200-2000000000000000000
χ202222222222-22222-2-2-2-2-2-2-200-2-2002002000000000000000000
χ212222222222-2-2-2-2-222-22-2002200220-200-200000000000000000
χ222222222222-2-2-2-2-222-22-200-2-200-2-20200200000000000000000
χ2322222222-2-2222-2-2-2-222-20000000000200-22-200000000000000
χ2422222222-2-2222-2-2-2-222-20000000000-2002-2200000000000000
χ2522222222-2-2-222-2-222-2-22002200-2-20-200200000000000000000
χ2622222222-2-2-222-2-222-2-2200-2-200220200-200000000000000000
χ2722222222-2-2-2-2-222-2-2-2222200-2-200-2002000000000000000000
χ2822222222-2-2-2-2-222-2-2-222-2-2002200200-2000000000000000000
χ292-222-2-22-22i−2i02i−2i2-2000002i−2i002-200000000002−2i2−i20000i2−i22−200
χ302-222-2-22-22i−2i02i−2i2-2000002i−2i002-20000000000−22−i2i20000−i2i2−2200
χ312-222-2-22-22i−2i02i−2i2-200000−2i2i00-2200000000002−2i2−i20000−i2i2−2200
χ322-222-2-22-22i−2i02i−2i2-200000−2i2i00-220000000000−22−i2i20000i2−i22−200
χ332-222-2-22-2−2i2i0−2i2i2-2000002i−2i00-2200000000002−2−i2i20000i2−i2−2200
χ342-222-2-22-2−2i2i0−2i2i2-2000002i−2i00-220000000000−22i2−i20000−i2i22−200
χ352-222-2-22-2−2i2i0−2i2i2-200000−2i2i002-200000000002−2−i2i20000−i2i22−200
χ362-222-2-22-2−2i2i0−2i2i2-200000−2i2i002-20000000000−22i2−i20000i2−i2−2200
χ374-444-4-44-44i−4i0−4i4i-4400000000000000000000000000000000000
χ384-444-4-44-4−4i4i04i−4i-4400000000000000000000000000000000000
χ394-44-44-4-44004000000-400000000000000000000002i2−2i200000000
χ404-44-44-4-44004000000-40000000000000000000000−2i22i200000000
χ414-44-44-4-4400-4000000400000000000000000000000022−22000000
χ424-44-44-4-4400-40000004000000000000000000000000−2222000000
χ434-4-4-4444-400000004-40000000004i−4i0000000000000000000000
χ444-4-4-4444-400000004-4000000000−4i4i0000000000000000000000
χ454-4-4-4444-40000000-44000004i−4i00000000000000000000000000
χ464-4-4-4444-40000000-4400000−4i4i00000000000000000000000000
χ47888-8-88-8-8000000000000000000000000000000000000000000
χ4888-888-8-8-8000000000000000000000000000000000000000000
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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