Finite Group Databasebeta

← Group #508074

Character table — Group #508074

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122222244444488888888888888816161616161616161616323232323232
order12222222224444444444444444444442222244444888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1
χ91111-1-1-1-111111111-1-1-111-1-111-1-111-1-11-11-11-11-1-111-11-11-1
χ101111-1-1-1-111111111-1-1-111-1-111-1-111-1-11-11-1-111-11-1-11-11-11
χ111111-1-1-1-111111111-1-1-111-1-1-1-111-1-111-11-111-11-1-111-1-11-11
χ121111-1-1-1-111111111-1-1-111-1-1-1-111-1-111-11-11-111-11-1-111-11-1
χ131111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1111-1-111-1-11-11-111-1-11
χ141111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1111-1-11-11-111-11-1-111-1
χ151111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-111-11-1-11-11-11-111-1
χ161111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-111-1-11-111-11-11-1-11
χ17222222222222-2-2-2-22-2-200000000222200-2-2000000000000
χ18222222222222-2-2-2-22-2-200000000-2-2-2-20022000000000000
χ192222222222-2-222-2-2-22-2000022220000-2-200000000000000
χ202222222222-2-222-2-2-22-20000-2-2-2-200002200000000000000
χ212222222222-2-2-2-222-2-22222200000000000000-2-200000000
χ222222222222-2-2-2-222-2-22-2-2-2-2000000000000002200000000
χ232222-2-2-2-22222-2-2-2-2-2220000000022-2-200-22000000000000
χ242222-2-2-2-22222-2-2-2-2-22200000000-2-222002-2000000000000
χ252222-2-2-2-222-2-222-2-22-22000022-2-20000-2200000000000000
χ262222-2-2-2-222-2-222-2-22-220000-2-22200002-200000000000000
χ272222-2-2-2-222-2-2-2-22222-222-2-200000000000000-2200000000
χ282222-2-2-2-222-2-2-2-22222-2-2-222000000000000002-200000000
χ29444444-4-4-4-400000000000000000000000002200-2-2000000
χ30444444-4-4-4-40000000000000000000000000-2-20022000000
χ314444-4-444-4-400000000000000000000000002-2002-2000000
χ324444-4-444-4-40000000000000000000000000-2200-22000000
χ3344-4-44-400000000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000
χ3444-4-44-400000000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000
χ3544-4-44-40000000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000
χ3644-4-44-40000000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000
χ3744-4-4-4400000000000002-2-222i−2i−2i2i2i−2i−2i2i0000000000000000
χ3844-4-4-4400000000000002-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000
χ3944-4-4-440000000000000-222-22i−2i−2i2i−2i2i2i−2i0000000000000000
χ4044-4-4-440000000000000-222-2−2i2i2i−2i2i−2i−2i2i0000000000000000
χ414-4-440000-444-44-44-40000000000000000000000000000000
χ424-4-440000-444-4-44-440000000000000000000000000000000
χ434-4-440000-44-444-4-440000000000000000000000000000000
χ444-4-440000-44-44-444-40000000000000000000000000000000
χ458-88-8008-8000000000000000000000000000000000000000
χ468-88-800-88000000000000000000000000000000000000000
χ478-8-8800008-80000000000000000000000000000000000000

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