Finite Group Databasebeta

← Group #486102

Character table — Group #486102

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444444444444442244444444448888888844
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-111-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-111-1-111-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-11111-1-1-1-1-1-11-1-11-1-111111111-1-1
χ5111111111111111-1-111-1-1-1-1111111-11-1-11-11-11111-1-1-1-1-1-1
χ6111111111111111-1-111-1-1-1-1111-1-11-1-1-1-1-1-11-1-1-1-1-1111111
χ7111111111111111-1-1-1-111-1-111-111-111-111-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-111-1-111-1-1-1-11-1-11-1-1-111111-1-1-1-111
χ911111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-1-1111111-1-1111-11-1-11-11-11-1-1-1-111-1-111-11
χ1111111111-1-1-1-1-1-1-111-1-1-1-1-1-111-11-111-1-1-11111-1-111-1-1111-1
χ1211111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-111111-1-111-1-1-11
χ1311111111-1-1-1-1-1-1-1-1-111-1-1111111-1-11-11-11-1-1111-1-1-1-111-11
χ1411111111-1-1-1-1-1-1-1-1-111-1-111111-11-1111-1-1-1-11-1-11111-1-11-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1111-11-1-1-11111-1-1-11
χ1611111111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1111-1-11-111-1-1-1-1111-1
χ17222222222222-2-2-222000022-2-2000000-200-2000000000000
χ18222222222222-2-2-2-2-20000-2-2-2-20000002002000000000000
χ1922222222-2-2-2-2222220000-2-2-2-2000000200-2000000000000
χ2022222222-2-2-2-2222-2-2000022-2-2000000-2002000000000000
χ21222222-2-222-2-222-200220000-22-200-2000000200000000000
χ22222222-2-222-2-222-200-2-20000-222002000000-200000000000
χ23222222-2-222-2-2-2-22000022002-20000200-2000-20000000000
χ24222222-2-222-2-2-2-220000-2-2002-20000-200200020000000000
χ25222222-2-2-2-22222-2000022002-20000-200-200020000000000
χ26222222-2-2-2-22222-20000-2-2002-200002002000-20000000000
χ27222222-2-2-2-222-2-2200220000-22-2002000000-200000000000
χ28222222-2-2-2-222-2-2200-2-20000-22200-2000000200000000000
χ292-2-222-22-22i−2i2i−2i0002-200002i−2i000000000000002−2i2−i22−2i2−i200
χ302-2-222-22-22i−2i2i−2i0002-200002i−2i00000000000000−22−i2i2−22−i2i200
χ312-2-222-22-22i−2i2i−2i000-220000−2i2i000000000000002−2i2−i2−22−i2i200
χ322-2-222-22-22i−2i2i−2i000-220000−2i2i00000000000000−22−i2i22−2i2−i200
χ332-2-222-22-2−2i2i−2i2i0002-20000−2i2i000000000000002−2−i2i22−2−i2i200
χ342-2-222-22-2−2i2i−2i2i0002-20000−2i2i00000000000000−22i2−i2−22i2−i200
χ352-2-222-22-2−2i2i−2i2i000-2200002i−2i000000000000002−2−i2i2−22i2−i200
χ362-2-222-22-2−2i2i−2i2i000-2200002i−2i00000000000000−22i2−i22−2−i2i200
χ374444-4-40000004-40000000000002200-200-20000000000000
χ384444-4-40000004-4000000000000-2-20020020000000000000
χ394444-4-4000000-440000000000002-200200-20000000000000
χ404444-4-4000000-44000000000000-2200-20020000000000000
χ414-4-444-4-444i−4i−4i4i00000000000000000000000000000000000
χ424-4-444-4-44−4i4i4i−4i00000000000000000000000000000000000
χ4388-8-800000000000004-40000000000000000000000000000
χ4488-8-80000000000000-440000000000000000000000000000
χ458-88-80000000000000004i−4i00000000000000000000000000
χ468-88-8000000000000000−4i4i00000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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