Finite Group Databasebeta

← Group #485486

Character table — Group #485486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222244442222244444444444444444422244444448888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1
χ3111111111111111-1-11111-1-11111-1-1-1-111-111-111-1-111-1-1-1-1
χ4111111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-111-11111-1-111-1-1
χ61111111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-11111-1-1
χ9111111-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-11111-1-11-11-11-11-11-1
χ10111111-1-1-1-111-11111-1-1-1-1-1-111-1-111-1-1111-11-1-111-1-11-11-11
χ11111111-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-11111-11-111-1-111-1-11-11
χ12111111-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11-111-11-1
χ13111111-1-1-1-111-1-1-111-1-111-1-1-1-111-1-11111-11-111-11-1-111-1-11
χ14111111-1-1-1-111-1-1-111-1-111-1-1-1-111-1-11111-1-111-111-11-1-111-1
χ15111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-11111-1-11-1-11-11-111-1
χ16111111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1111-11-1-11-111-11-1-11
χ17222222222222-222002-22200-2-2-2-20000-2-200000000000000
χ18222222222222-2-2-2002-2-2-20022220000-2-200000000000000
χ192222222222-2-220000-2-2000000002222-22-200-20000000000
χ202222222222-2-220000-2-200000000-2-2-2-2-2220020000000000
χ212222222222-2-2-20022-220022000000002-2000000-2-2000000
χ222222222222-2-2-200-2-2-2200-2-2000000002-200000022000000
χ23222222-2-2-2-22222200-22-2-200-2-2220000-2-200000000000000
χ24222222-2-2-2-2222-2-200-22220022-2-20000-2-200000000000000
χ25222222-2-2-2-2-2-2200222-200-2-2000000002-2000000-22000000
χ26222222-2-2-2-2-2-2200-2-22-20022000000002-20000002-2000000
χ27222222-2-2-2-2-2-2-20000220000000022-2-2-22-20020000000000
χ28222222-2-2-2-2-2-2-200002200000000-2-222-22200-20000000000
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
χ3344-4-400004i−4i0002-22-2002i−2i2i−2i00002-22i−2i0000000000000000
χ3444-4-400004i−4i0002-2-22002i−2i−2i2i0000-22−2i2i0000000000000000
χ3544-4-400004i−4i000-222-200−2i2i2i−2i0000-22−2i2i0000000000000000
χ3644-4-400004i−4i000-22-2200−2i2i−2i2i00002-22i−2i0000000000000000
χ3744-4-40000−4i4i0002-22-200−2i2i−2i2i00002-2−2i2i0000000000000000
χ3844-4-40000−4i4i0002-2-2200−2i2i2i−2i0000-222i−2i0000000000000000
χ3944-4-40000−4i4i000-222-2002i−2i−2i2i0000-222i−2i0000000000000000
χ4044-4-40000−4i4i000-22-22002i−2i2i−2i00002-2−2i2i0000000000000000
χ414-44-44-400004-4000000000004i−4i0000000000000000000000
χ424-44-44-400004-400000000000−4i4i0000000000000000000000
χ434-44-44-40000-4400000000000004-400000000000000000000
χ444-44-44-40000-440000000000000-4400000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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