Finite Group Databasebeta

← Group #485353

Character table — Group #485353

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222244442244444444444444444444424444444448888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1
χ41111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ7111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ9111111-1-1-1-111-1-1-111-1-111-1-111-1-111-1-111111-1-1-11-11-11-11-1
χ10111111-1-1-1-111-1-1-111-1-111-1-111-1-111-1-111-1-11-1111-1-11-11-11
χ11111111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-11-1-1-111-1-11-11
χ12111111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-11-111-11-1
χ13111111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1111111-11-1-11-1-111-1-11
χ14111111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-11111-11-1-111-1
χ15111111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-111111-1-1-1-11-11-111-1
χ16111111-1-1-1-111-1-1-1-1-111-1-111-1-11111-1-111-1-11-111-111-11-1-11
χ172222222222222-2-222220000-2-2-2-20000-2-200000000000000
χ182222222222222-2-2-2-2-2-2000022220000-2-200000000000000
χ192222222222-2-2-22-200000000000022222-200-2-20000000000
χ202222222222-2-2-22-2000000000000-2-2-2-22-200220000000000
χ212222222222-2-2-2-220000222200000000-22000000-2-2000000
χ222222222222-2-2-2-220000-2-2-2-200000000-2200000022000000
χ23222222-2-2-2-222-22222-2-20000-2-2220000-2-200000000000000
χ24222222-2-2-2-222-222-2-222000022-2-20000-2-200000000000000
χ25222222-2-2-2-2-2-222-2000022-2-200000000-22000000-22000000
χ26222222-2-2-2-2-2-222-20000-2-22200000000-220000002-2000000
χ27222222-2-2-2-2-2-22-2200000000000022-2-22-200-220000000000
χ28222222-2-2-2-2-2-22-22000000000000-2-2222-2002-20000000000
χ294444-4-444-4-4000000000000000000000002-2002-200000000
χ304444-4-444-4-400000000000000000000000-2200-2200000000
χ314444-4-4-4-444000000000000000000000002-200-2200000000
χ324444-4-4-4-44400000000000000000000000-22002-200000000
χ3344-4-44-400004-400000000000004-400000000000000000000
χ3444-4-44-400004-40000000000000-4400000000000000000000
χ3544-4-44-40000-44000000000004-40000000000000000000000
χ3644-4-44-40000-4400000000000-440000000000000000000000
χ374-44-400004i−4i000002-22i−2i2-22i−2i00002-22i−2i0000000000000000
χ384-44-400004i−4i000002-22i−2i-22−2i2i0000-22−2i2i0000000000000000
χ394-44-400004i−4i00000-22−2i2i2-22i−2i0000-22−2i2i0000000000000000
χ404-44-400004i−4i00000-22−2i2i-22−2i2i00002-22i−2i0000000000000000
χ414-44-40000−4i4i000002-2−2i2i2-2−2i2i00002-2−2i2i0000000000000000
χ424-44-40000−4i4i000002-2−2i2i-222i−2i0000-222i−2i0000000000000000
χ434-44-40000−4i4i00000-222i−2i2-2−2i2i0000-222i−2i0000000000000000
χ444-44-40000−4i4i00000-222i−2i-222i−2i00002-2−2i2i0000000000000000
χ4588-8-8-8800000000000000000000000000000000000000000
χ468-8-88008i−8i000000000000000000000000000000000000000
χ478-8-8800−8i8i000000000000000000000000000000000000000

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