Finite Group Databasebeta

← Group #508196

Character table — Group #508196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222244444488888888888888816161616161616161616323232323232
order12222244442222444444444444444442224444444444488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1-1-1-1-1-111-11111-1-111-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111-1-111-1-111-1-1-1-1-111-111-1-111-1-111-1-1
χ61111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1
χ9111111-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-11-111-11-11-11-11-11-1
χ10111111-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-1-111-111-11-1-11-11-11
χ11111111-1-1-1-1111111-1-1-111-1-1-1-111-1-11111-1-11-11-1-111-1-11-11
χ12111111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-11-1-111-1-11-111-11-1
χ13111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11-1-111-1-111-1-11
χ14111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-1111-11-1-11-111-11-1-111-1
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-11-111-1-11-11-11-111-1
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-111-11-11-111-11-1-11
χ1722222222222-22-2-2-22-2-200220022000000000000-2-2000000
χ1822222222222-22-2-2-22-2-200-2-200-2-200000000000022000000
χ192222222222-22-22-2-2-22-2220022000000000000-2-200000000
χ202222222222-22-22-2-2-22-2-2-200-2-20000000000002200000000
χ212222222222-2-2-2-222-2-22000000002222-200-2000000000000
χ222222222222-2-2-2-222-2-2200000000-2-2-2-22002000000000000
χ23222222-2-2-2-22-22-2-2-2-222002200-2-2000000000000-22000000
χ24222222-2-2-2-22-22-2-2-2-22200-2-200220000000000002-2000000
χ25222222-2-2-2-2-22-22-2-22-222200-2-2000000000000-2200000000
χ26222222-2-2-2-2-22-22-2-22-22-2-200220000000000002-200000000
χ27222222-2-2-2-2-2-2-2-22222-20000000022-2-2200-2000000000000
χ28222222-2-2-2-2-2-2-2-22222-200000000-2-222-2002000000000000
χ294444-4-444-4-40000000000000000000000220-2-20000000000
χ304444-4-444-4-40000000000000000000000-2-20220000000000
χ314444-4-4-4-44400000000000000000000002-20-220000000000
χ324444-4-4-4-4440000000000000000000000-2202-20000000000
χ3344-4-4004-4000000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000
χ3444-4-4004-4000000000002i−2i−2i2i2i−2i−2i2i-22-220000000000000000
χ3544-4-4004-400000000000−2i2i2i−2i−2i2i2i−2i-22-220000000000000000
χ3644-4-4004-400000000000−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000
χ3744-4-400-44000000000002i−2i2i−2i−2i2i−2i2i2-2-220000000000000000
χ3844-4-400-44000000000002i−2i−2i2i−2i2i2i−2i-222-20000000000000000
χ3944-4-400-4400000000000−2i2i2i−2i2i−2i−2i2i-222-20000000000000000
χ4044-4-400-4400000000000−2i2i−2i2i2i−2i2i−2i2-2-220000000000000000
χ414-4-444-4000044-4-44-40000000000000000000000000000000
χ424-4-444-400004-4-44-440000000000000000000000000000000
χ434-4-444-40000-444-4-440000000000000000000000000000000
χ444-4-444-40000-4-4444-40000000000000000000000000000000
χ458-88-800008i−8i0000000000000000000000000000000000000
χ468-88-80000−8i8i0000000000000000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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