Finite Group Databasebeta

← Group #485556

Character table — Group #485556

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222244442224444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1
χ311111111111111111-1-111-1-11111-1-1-1-111-111-111-1-111-1-1-1-1
χ411111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-111-11111-1-111-1-1
χ6111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-11111-1-1
χ9111111-1-1-1-111-1-1-11111-1-1-1-111-1-111-1-111-11-111-11-11-11-11-1
χ10111111-1-1-1-111-1-1-11111-1-1-1-111-1-111-1-111-1-111-111-1-11-11-11
χ11111111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-11-11
χ12111111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-111111-11-1-11-11-111-11-1
χ13111111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1111111-1-11-11-1-111-1-11
χ14111111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111111-11-1-111-11-1-111-1
χ15111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-11-111-1-11-11-111-1
χ16111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-111-1-111-11-111-11-1-11
χ17222222222222-22-222002200-2-2-2-20000-2-200000000000000
χ18222222222222-22-2-2-200-2-20022220000-2-200000000000000
χ192222222222-2-22-2-200000000000022222-2-200-20000000000
χ202222222222-2-22-2-2000000000000-2-2-2-22-220020000000000
χ212222222222-2-2-2-220022002200000000-22000000-2-2000000
χ222222222222-2-2-2-2200-2-200-2-200000000-2200000022000000
χ23222222-2-2-2-2222-222200-2-200-2-2220000-2-200000000000000
χ24222222-2-2-2-2222-22-2-200220022-2-20000-2-200000000000000
χ25222222-2-2-2-2-2-222-2002200-2-200000000-22000000-22000000
χ26222222-2-2-2-2-2-222-200-2-2002200000000-220000002-2000000
χ27222222-2-2-2-2-2-2-22200000000000022-2-22-2200-20000000000
χ28222222-2-2-2-2-2-2-222000000000000-2-2222-2-20020000000000
χ294444-4-444-4-4000000000000000000000000220-2-200000000
χ304444-4-444-4-4000000000000000000000000-2-202200000000
χ314444-4-4-4-4440000000000000000000000002-20-2200000000
χ324444-4-4-4-444000000000000000000000000-2202-200000000
χ3344-4-44-400004-400000000000004-400000000000000000000
χ3444-4-44-400004-40000000000000-4400000000000000000000
χ3544-4-44-40000-44000000000004i−4i0000000000000000000000
χ3644-4-44-40000-4400000000000−4i4i0000000000000000000000
χ374-4-4400004i−4i000002i−2i2i−2i2-22-200002-22i−2i0000000000000000
χ384-4-4400004i−4i000002i−2i−2i2i2-2-220000-22−2i2i0000000000000000
χ394-4-4400004i−4i00000−2i2i2i−2i-222-20000-22−2i2i0000000000000000
χ404-4-4400004i−4i00000−2i2i−2i2i-22-2200002-22i−2i0000000000000000
χ414-4-440000−4i4i000002i−2i2i−2i-22-2200002-2−2i2i0000000000000000
χ424-4-440000−4i4i000002i−2i−2i2i-222-20000-222i−2i0000000000000000
χ434-4-440000−4i4i00000−2i2i2i−2i2-2-220000-222i−2i0000000000000000
χ444-4-440000−4i4i00000−2i2i−2i2i2-22-200002-2−2i2i0000000000000000
χ4588-8-8-8800000000000000000000000000000000000000000
χ468-88-8008-8000000000000000000000000000000000000000
χ478-88-800-88000000000000000000000000000000000000000

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