Finite Group Databasebeta

← Group #486413

Character table — Group #486413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444444444444442244444444448888888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-11-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-1-1-111-1-11111-111-1-111-11-11111-1-1-1-1-1-1
χ6111111111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-11-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-1-1111111-1-1-11111-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111111-1-1-1-111
χ91111111-1-11-1-1-1-1-111-1-11111111-1-11-11-11-11-1-111-1-111-1-11-1
χ101111111-1-11-1-1-1-1-111-1-1111111-11-11-11-1-111-1-1-1-111-1-111-11
χ111111111-1-11-1-1-1-1-111-1-1-1-1-1-1111-1-1-11-111-1111-1-111-1-1111-1
χ121111111-1-11-1-1-1-1-111-1-1-1-1-1-111-11-1-11-11-1111111-1-111-1-1-11
χ131111111-1-11-1-1-1-1-1-1-11111-1-1111-111-1-111-1-1-1111-1-1-1-111-11
χ141111111-1-11-1-1-1-1-1-1-11111-1-111-1111-1-11-11-1-11-1-11111-1-11-1
χ151111111-1-11-1-1-1-1-1-1-111-1-111111-11-111-11-1-11-1-1-11111-1-1-11
χ161111111-1-11-1-1-1-1-1-1-111-1-11111-111-111-1-11-11-111-1-1-1-1111-1
χ17222222222222-2-2-222220000-2-200-2000000-2000000000000
χ18222222222222-2-2-2-2-2-2-20000-2-20020000002000000000000
χ192222222-2-22-2-222222-2-20000-2-2002000000-2000000000000
χ202222222-2-22-2-2222-2-2220000-2-200-20000002000000000000
χ21222222-222-2-2-222-2000000222-200000-2-2000020000000000
χ22222222-222-2-2-222-2000000-2-22-200000220000-20000000000
χ23222222-222-2-2-2-2-2200002200-22000-2200000-200000000000
χ24222222-222-2-2-2-2-220000-2-200-220002-200000200000000000
χ25222222-2-2-2-22222-200002200-22000-2-200000200000000000
χ26222222-2-2-2-22222-20000-2-200-220002200000-200000000000
χ27222222-2-2-2-222-2-22000000222-200000-220000-20000000000
χ28222222-2-2-2-222-2-22000000-2-22-2000002-2000020000000000
χ2922-2-22-2-22-222-20002-22-2000000000000000000i2−i2i2−i2i2−i2i2−i200
χ3022-2-22-2-22-222-20002-22-2000000000000000000−i2i2−i2i2−i2i2−i2i200
χ3122-2-22-2-22-222-2000-22-22000000000000000000i2−i2i2−i2−i2i2−i2i200
χ3222-2-22-2-22-222-2000-22-22000000000000000000−i2i2−i2i2i2−i2i2−i200
χ3322-2-22-2-2-222-220002-2-22000000000000000000i2−i2−i2i2i2−i2−i2i200
χ3422-2-22-2-2-222-220002-2-22000000000000000000−i2i2i2−i2−i2i2i2−i200
χ3522-2-22-2-2-222-22000-222-2000000000000000000i2−i2−i2i2−i2i2i2−i200
χ3622-2-22-2-2-222-22000-222-2000000000000000000−i2i2i2−i2i2−i2−i2i200
χ374444-4-40000004-4000000000002200000-2-20000000000000
χ384444-4-40000004-400000000000-2-200000220000000000000
χ394444-4-4000000-44000000000002-200000-220000000000000
χ404444-4-4000000-4400000000000-22000002-20000000000000
χ4144-4-44-444-4-4-4400000000000000000000000000000000000
χ4244-4-44-44-44-44-400000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-80000000000000004i−4i00000000000000000000000000
χ458-88-8000000000000000−4i4i00000000000000000000000000
χ468-8-88000000000000000004i−4i000000000000000000000000
χ478-8-8800000000000000000−4i4i000000000000000000000000

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