Finite Group Databasebeta

← Group #486642

Character table — Group #486642

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444444444444442444444444448888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111-1-111-1111-1-1111-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111-1-1111-1-111-11-1-1-1-1-1-11-1-1-111111111-1-1
χ511111111111111-1-1111-1-1-1-1111-111-1-111-111-11111-1-1-1-1-1-1
χ611111111111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-11111-1-1111111-1-1-11-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-111111-1-1-1-111
χ91111111-1-1-1-1-1-111111-1-1-1-1-111-1-11-11-11-111-1111-1-111-1-11-1
χ101111111-1-1-1-1-1-111111-1-1-1-1-111-1-1-111-1-1111-11-1-111-1-111-11
χ111111111-1-1-1-1-1-1111-1-1-1-1-111111-11-1-111-11-11-1-1-111-1-1111-1
χ121111111-1-1-1-1-1-1111-1-1-1-1-111111-1-11-11-111-11-111-1-111-1-1-11
χ131111111-1-1-1-1-1-11-1-111-1111111-111-1-111-1-11-1-111-1-1-1-111-11
χ141111111-1-1-1-1-1-11-1-111-1111111-11-11-11-11-11-1-1-1-11111-1-11-1
χ151111111-1-1-1-1-1-11-1-1-1-1-111-1-111111-11-11-1-1-111-1-11111-1-1-11
χ161111111-1-1-1-1-1-11-1-1-1-1-111-1-11111-111-1-11-1-11111-1-1-1-1111-1
χ1722222222222-2-222200-22200-2-20-2000000-20000000000000
χ1822222222222-2-22-2-200-2-2-200-2-20200000020000000000000
χ192222222-2-2-2-222222002-2-200-2-202000000-20000000000000
χ202222222-2-2-2-2222-2-20022200-2-20-200000020000000000000
χ21222222-222-2-222-20000-200222-20000-2-20000020000000000
χ22222222-222-2-222-20000-200-2-22-200002200000-20000000000
χ23222222-222-2-2-2-2-2002220000-22-200000000-2200000000000
χ24222222-222-2-2-2-2-200-2-220000-222000000002-200000000000
χ25222222-2-2-22222-20022-20000-22200000000-2-200000000000
χ26222222-2-2-22222-200-2-2-20000-22-2000000002200000000000
χ27222222-2-2-222-2-2-20000200222-200002-200000-20000000000
χ28222222-2-2-222-2-2-20000200-2-22-20000-220000020000000000
χ2922-2-22-2-22-22-20022i−2i0002i−2i0000000000000000i2−i2i2−i22−22−200
χ3022-2-22-2-22-22-20022i−2i0002i−2i0000000000000000−i2i2−i2i2−22−2200
χ3122-2-22-2-22-22-2002−2i2i000−2i2i0000000000000000i2−i2i2−i2−22−2200
χ3222-2-22-2-22-22-2002−2i2i000−2i2i0000000000000000−i2i2−i2i22−22−200
χ3322-2-22-2-2-22-220022i−2i000−2i2i0000000000000000i2−i2−i2i22−2−2200
χ3422-2-22-2-2-22-220022i−2i000−2i2i0000000000000000−i2i2i2−i2−222−200
χ3522-2-22-2-2-22-22002−2i2i0002i−2i0000000000000000i2−i2−i2i2−222−200
χ3622-2-22-2-2-22-22002−2i2i0002i−2i0000000000000000−i2i2i2−i22−2−2200
χ374444-4-4000004-4000000000000002200-2-200000000000000
χ384444-4-4000004-400000000000000-2-2002200000000000000
χ394444-4-400000-44000000000000002-200-2200000000000000
χ404444-4-400000-4400000000000000-22002-200000000000000
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
χ468-8-880000000000004i−4i00000000000000000000000000000
χ478-8-88000000000000−4i4i00000000000000000000000000000

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