Finite Group Databasebeta

← Group #487147

Character table — Group #487147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222222244444444444444444444422224444488888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111111-1-1-1-1
χ41111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-11111
χ511111111111111-1-111-1-1-1-1-1-111-1-1111-1111-111-1-1-1-1-111-1-1
χ611111111111111-1-111-1-1-1-1-1-111-1-1111-1-1-11-1-1-1-11111-1-111
χ711111111111111-1-1-1-111-1-1-1-1-1-11111-1111-1111-1-1-1-1-1-1-111
χ811111111111111-1-1-1-111-1-1-1-1-1-11111-11-1-1-11-1-1-1111111-1-1
χ91111-1-111-111-1-1-11111-1-111-1-1-1-11111-1-11-1111-1-111-1-11-11-1
χ101111-1-111-111-1-1-11111-1-111-1-1-1-11111-1-1-1111-11-1-1-111-11-11
χ111111-1-111-111-1-1-111-1-11111-1-111-1-111111-1-1-11-1-111-1-1-11-11
χ121111-1-111-111-1-1-111-1-11111-1-111-1-11111-11-1-1-11-1-1-1111-11-1
χ131111-1-111-111-1-1-1-1-11111-1-111-1-1-1-111-111-11-11-11-1-1111-1-11
χ141111-1-111-111-1-1-1-1-11111-1-111-1-1-1-111-11-111-1-11111-1-1-111-1
χ151111-1-111-111-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-11-1-111-111-1
χ161111-1-111-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-11-11111-1-11-1-11
χ17222222222222-2-200220000002200-2-2-2000-2000000000000
χ18222222222222-2-200-2-2000000-2-200-2-220002000000000000
χ19222222222-2-2-22-2000022000000222-20-2000-200000000000
χ20222222222-2-2-22-20000-2-2000000-2-22-202000200000000000
χ21222222222-2-2-2-22220000-2-2-2-20000-2200000000200000000
χ22222222222-2-2-2-22-2-2000022220000-2200000000-200000000
χ232222-2-222-222-2220022000000-2-200-2-22000-2000000000000
χ242222-2-222-222-22200-2-20000002200-2-2-20002000000000000
χ252222-2-222-2-2-222-2220000-2-2220000-2200000000-200000000
χ262222-2-222-2-2-222-2-2-2000022-2-20000-2200000000200000000
χ272222-2-222-2-2-22-22000022000000-2-22-20-2000200000000000
χ282222-2-222-2-2-22-220000-2-2000000222-202000-200000000000
χ29444444-4-4-4000000000000000000000002200-2-2000000000
χ30444444-4-4-400000000000000000000000-2-20022000000000
χ314444-4-4-4-44000000000000000000000002-200-22000000000
χ324444-4-4-4-4400000000000000000000000-22002-2000000000
χ3344-4-44-400000000002i−2i2i−2i2-22-22i−2i2i−2i0000000000000000000
χ3444-4-44-400000000002i−2i−2i2i-22-222i−2i−2i2i0000000000000000000
χ3544-4-44-40000000000−2i2i2i−2i-22-22−2i2i2i−2i0000000000000000000
χ3644-4-44-40000000000−2i2i−2i2i2-22-2−2i2i−2i2i0000000000000000000
χ3744-4-4-4400000000002i−2i2i−2i-222-2−2i2i−2i2i0000000000000000000
χ3844-4-4-4400000000002i−2i−2i2i2-2-22−2i2i2i−2i0000000000000000000
χ3944-4-4-440000000000−2i2i2i−2i2-2-222i−2i−2i2i0000000000000000000
χ4044-4-4-440000000000−2i2i−2i2i-222-22i−2i2i−2i0000000000000000000
χ414-44-4004-404-40000000000000000000000000000002i2−2i20000
χ424-44-4004-404-4000000000000000000000000000000−2i22i20000
χ434-44-4004-40-4400000000000000000000000000002i2−2i2000000
χ444-44-4004-40-440000000000000000000000000000−2i22i2000000
χ458-88-800-88000000000000000000000000000000000000000
χ468-8-8800000000004-40000000000000000000000000000000
χ478-8-880000000000-440000000000000000000000000000000

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