Finite Group Databasebeta

← Group #486648

Character table — Group #486648

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444444444444442444444444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-111-1-1-11111111-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1111111
χ511111111111111-1-111111-1-1111-1-111-111-1-11-1-1-1-1-1-1-1-1-111
χ611111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-11-111111111-1-1
χ711111111111111-1-11-1-1-1-11111-11111-111-1-1-11-1-1-1-11111-1-1
χ811111111111111-1-11-1-1-1-11111-111-1-1-1-1-1-1-1-111111-1-1-1-111
χ91111111-1-1-1-1-1-1111-111-1-1-1-111-11-11-1-11-11-11111-1-111-1-11-1
χ101111111-1-1-1-1-1-1111-111-1-1-1-111-11-1-11-1-111-111-1-111-1-111-11
χ111111111-1-1-1-1-1-1111-1-1-11111111-111-1-11-11-1-1-111-1-1-1-111-11
χ121111111-1-1-1-1-1-1111-1-1-11111111-11-11-1-111-1-1-1-1-11111-1-11-1
χ131111111-1-1-1-1-1-11-1-1-111-1-11111-1-111-111-1-111-1-1-111-1-1111-1
χ141111111-1-1-1-1-1-11-1-1-111-1-11111-1-11-111-11-111-111-1-111-1-1-11
χ151111111-1-1-1-1-1-11-1-1-1-1-111-1-11111-11-111-1-11-11-1-11111-1-1-11
χ161111111-1-1-1-1-1-11-1-1-1-1-111-1-11111-1-111-11-11-1111-1-1-1-1111-1
χ1722222222222-2-2200-2222200-2-2-2000000000-200000000000
χ1822222222222-2-2200-2-2-2-2-200-2-22000000000200000000000
χ192222222-2-2-2-222200222-2-200-2-22000000000-200000000000
χ202222222-2-2-2-2222002-2-22200-2-2-2000000000200000000000
χ21222222-222-2-222-200-20000222-20-2-20000000020000000000
χ22222222-222-2-222-200-20000-2-22-202200000000-20000000000
χ23222222-222-2-2-2-2-2222000000-2200000-200-22000000000000
χ24222222-222-2-2-2-2-2-2-22000000-22000002002-2000000000000
χ25222222-2-2-22222-222-2000000-2200000200-2-2000000000000
χ26222222-2-2-22222-2-2-2-2000000-2200000-20022000000000000
χ27222222-2-2-222-2-2-20020000222-202-200000000-20000000000
χ28222222-2-2-222-2-2-20020000-2-22-20-220000000020000000000
χ2922-2-22-2-22-22-20020002i−2i2i−2i00000000000000002−22−2i2−i2i2−i200
χ3022-2-22-2-22-22-20020002i−2i2i−2i0000000000000000−22−22−i2i2−i2i200
χ3122-2-22-2-22-22-2002000−2i2i−2i2i00000000000000002−22−2−i2i2−i2i200
χ3222-2-22-2-22-22-2002000−2i2i−2i2i0000000000000000−22−22i2−i2i2−i200
χ3322-2-22-2-2-22-220020002i−2i−2i2i00000000000000002−2−22i2−i2−i2i200
χ3422-2-22-2-2-22-220020002i−2i−2i2i0000000000000000−222−2−i2i2i2−i200
χ3522-2-22-2-2-22-22002000−2i2i2i−2i00000000000000002−2−22−i2i2i2−i200
χ3622-2-22-2-2-22-22002000−2i2i2i−2i0000000000000000−222−2i2−i2−i2i200
χ374444-4-4000004-4000000000000000220-2-200000000000000
χ384444-4-4000004-4000000000000000-2-202200000000000000
χ394444-4-400000-440000000000000002-20-2200000000000000
χ404444-4-400000-44000000000000000-2202-200000000000000
χ4144-4-44-444-4-4400-4000000000000000000000000000000000
χ4244-4-44-44-444-400-4000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-8000000000000000004-4000000000000000000000000
χ458-88-800000000000000000-44000000000000000000000000
χ468-8-8800000000004i−4i0000000000000000000000000000000
χ478-8-880000000000−4i4i0000000000000000000000000000000

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