Finite Group Databasebeta

← Group #485299

Character table — Group #485299

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222244444444444444444444444444422444444888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-11-1-1-1-1-1-11111-1-1-1-1111-11-11111-1-111-1-1
χ611111111111111-1-11-1-1-1-1-1-11111-1-1-1-1111-11-1-1-1-1-111-1-111
χ711111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-11-111111-1-1-1-111
χ811111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1-11111-1-1
χ9111111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-11111-1-111-1-11-11-11-1
χ10111111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-11111-1-1-1-111-11-11-11
χ11111111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-11111-1-11111-1-11-1-11-11
χ12111111-1-1-1-111-1-111-1-1-111-1-1-1-111-1-11111-1-111-1-111-111-11-1
χ13111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111111-1-1111-1-1-111-1-11
χ14111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111111-1-11-1-1111-1-111-1
χ15111111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-111-111-111-1-1-11-111-1
χ16111111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-111-111-1-1-1111-11-1-11
χ17222222222222-2-222222-2-2-2-200000000-2-200000000000000
χ18222222222222-2-2-2-22-2-2222200000000-2-200000000000000
χ192222222222-2-22-200-2000000000022222-20-20-20000000000
χ202222222222-2-22-200-20000000000-2-2-2-22-202020000000000
χ212222222222-2-2-2200-200000022220000-22-20-200000000000
χ222222222222-2-2-2200-2000000-2-2-2-20000-2220200000000000
χ23222222-2-2-2-2222222-2-2-2-2-22200000000-2-200000000000000
χ24222222-2-2-2-22222-2-2-22222-2-200000000-2-200000000000000
χ25222222-2-2-2-2-2-22-200200000022-2-20000-22-20200000000000
χ26222222-2-2-2-2-2-22-2002000000-2-2220000-2220-200000000000
χ27222222-2-2-2-2-2-2-22002000000000022-2-22-20-2020000000000
χ28222222-2-2-2-2-2-2-220020000000000-2-2222-2020-20000000000
χ294444-4-444-4-40000000000000000000000000002-22-2000000
χ304444-4-444-4-4000000000000000000000000000-22-22000000
χ314444-4-4-4-4440000000000000000000000000002-2-22000000
χ324444-4-4-4-444000000000000000000000000000-222-2000000
χ3344-4-44-400004-4004-40000000000000000000000000000000
χ3444-4-44-400004-400-440000000000000000000000000000000
χ3544-4-44-40000-44000004i−4i0000000000000000000000000000
χ3644-4-44-40000-4400000−4i4i0000000000000000000000000000
χ374-44-400004-40000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000
χ384-44-400004-40000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000
χ394-44-400004-4000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000
χ404-44-400004-4000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000
χ414-44-40000-440000000002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000
χ424-44-40000-440000000002-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000
χ434-44-40000-44000000000-222-22i−2i−2i2i−2i2i2i−2i0000000000000000
χ444-44-40000-44000000000-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000
χ4588-8-8-8800000000000000000000000000000000000000000
χ468-8-88008i−8i000000000000000000000000000000000000000
χ478-8-8800−8i8i000000000000000000000000000000000000000

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