Finite Group Databasebeta

← Group #169469

Character table — Group #169469

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-11-1-11-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-111-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-1111-1-111-11-1-11-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1111-1-111-11-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-11-1-1-1-1-1-11-11-1-11-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-11-1-1-1-1-1-11-11-1-11-11-1-1-1-111111111-1-1
χ911111111-1-11-1-111111-111-111-1-1-1-111-11-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-11-1-111111-111-111-1-1-1-111-11-1-1-11-1-111-1-111-1-111-11
χ1111111111-1-11-1-111111-111-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-111111-111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-1-1-11111-1-1-111-1-111-111-1-111-1-1-1-111-11
χ1411111111-1-11-1-111111-1-1-1-11111-1-1-111-1-111-1-1-111-1-11111-1-11-1
χ1511111111-1-11-1-111111-1-1-1-1-1-111111-1-1-11-11111-1-1-1-111-1-1111-1
χ1611111111-1-11-1-111111-1-1-1-1-1-111111-1-1-11-111-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-2-22-20022200220-200-200000000000000000
χ1822222222222-2-2-2-2-2-22-2002-2-200-2-20200200000000000000000
χ192222222222-22222-2-2-2-222-2002200000-200-2000000000000000
χ202222222222-22222-2-2-2-2-2-2-200-2-2000002002000000000000000
χ212222222222-2-2-2-2-222-2200-200000020200-20-200000000000000
χ222222222222-2-2-2-2-222-2200-2000000-20-20020200000000000000
χ2322222222-2-2222-2-2-2-22200-22200-2-20-200200000000000000000
χ2422222222-2-2222-2-2-2-22200-2-2-200220200-200000000000000000
χ2522222222-2-2-222-2-222-2-200200000020-20020-200000000000000
χ2622222222-2-2-222-2-222-2-2002000000-20200-20200000000000000
χ2722222222-2-2-2-2-222-2-2-2222200-2-200000-2002000000000000000
χ2822222222-2-2-2-2-222-2-2-22-2-22002200000200-2000000000000000
χ2922-2-22-2-222i−2i02i−2i2-200002i−2i0002-20000000000i2−i22−200002−2i2−i200
χ3022-2-22-2-222i−2i02i−2i2-200002i−2i0002-20000000000−i2i2−220000−22−i2i200
χ3122-2-22-2-222i−2i02i−2i2-20000−2i2i000-220000000000i2−i22−20000−22−i2i200
χ3222-2-22-2-222i−2i02i−2i2-20000−2i2i000-220000000000−i2i2−2200002−2i2−i200
χ3322-2-22-2-22−2i2i0−2i2i2-200002i−2i000-220000000000i2−i2−2200002−2−i2i200
χ3422-2-22-2-22−2i2i0−2i2i2-200002i−2i000-220000000000−i2i22−20000−22i2−i200
χ3522-2-22-2-22−2i2i0−2i2i2-20000−2i2i0002-20000000000i2−i2−220000−22i2−i200
χ3622-2-22-2-22−2i2i0−2i2i2-20000−2i2i0002-20000000000−i2i22−200002−2−i2i200
χ37444-4-44-4-400000004-40000000000000000000000022−2200000000
χ38444-4-44-4-400000004-400000000000000000000000−222200000000
χ39444-4-44-4-40000000-44000000000000000000000000022−22000000
χ40444-4-44-4-40000000-440000000000000000000000000−2222000000
χ4144-4-44-4-444i−4i0−4i4i-4400000000000000000000000000000000000
χ4244-4-44-4-44−4i4i04i−4i-4400000000000000000000000000000000000
χ434-44-4-4-444004000000-400004i−4i00000000000000000000000000
χ444-44-4-4-444004000000-40000−4i4i00000000000000000000000000
χ454-44-4-4-44400-40000004000000004-40000000000000000000000
χ464-44-4-4-44400-4000000400000000-440000000000000000000000
χ4788-88-8-88-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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