Finite Group Databasebeta

← Group #487236

Character table — Group #487236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222222244444444444444444444424444444488888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-111
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1111111-1-1
χ5111111111111-1-111-1-11111-1-111-1-111-1-11111-1-111111-1-1-1-1
χ6111111111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111-1-1
χ8111111111111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-111
χ91111-1-111-111-111-1-1-1-111-1-111-1-1-1-111-1111-1-11-1111-1-11-11-1
χ101111-1-111-111-111-1-1-1-111-1-111-1-1-1-111-11-1-1111-11-1-111-11-11
χ111111-1-111-111-111-1-1-1-1-1-111-1-11111111-111-1-11-1-1-1-111-111-1
χ121111-1-111-111-111-1-1-1-1-1-111-1-11111111-1-1-1111-1-111-1-11-1-11
χ131111-1-111-111-1-1-1-1-11111-1-1-1-1-1-111111-111-1-1-11111-1-1-11-11
χ141111-1-111-111-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-111-1-1111-11-1
χ151111-1-111-111-1-1-1-1-111-1-1111111-1-111-1111-1-1-11-1-1-1111-1-11
χ161111-1-111-111-1-1-1-1-111-1-1111111-1-111-11-1-111-11-111-1-1-111-1
χ1722222222222200-2-2000000220022-2-2-2-2000000000000000
χ1822222222222200-2-2000000-2-200-2-2-2-222000000000000000
χ19222222222-2-2-2002-200222200-2-2002-200000000-200000000
χ20222222222-2-2-2002-200-2-2-2-20022002-200000000200000000
χ21222222222-2-2-222-22220000000000-22000000-2-2000000000
χ22222222222-2-2-2-2-2-22-2-20000000000-2200000022000000000
χ232222-2-222-222-200220000002200-2-2-2-22-2000000000000000
χ242222-2-222-222-20022000000-2-20022-2-2-22000000000000000
χ252222-2-222-2-2-2200-220022-2-20022002-200000000-200000000
χ262222-2-222-2-2-2200-2200-2-22200-2-2002-200000000200000000
χ272222-2-222-2-2-22222-2-2-20000000000-22000000-22000000000
χ282222-2-222-2-2-22-2-22-2220000000000-220000002-2000000000
χ29444444-4-4-4000000000000000000000002-22-200000000000
χ30444444-4-4-400000000000000000000000-22-2200000000000
χ314444-4-4-4-44000000000000000000000002-2-2200000000000
χ324444-4-4-4-4400000000000000000000000-222-200000000000
χ3344-4-4004-404-400000000000000000000000000000022−220000
χ3444-4-4004-404-4000000000000000000000000000000−22220000
χ3544-4-4004-40-44000000000000000000000000000022−22000000
χ3644-4-4004-40-440000000000000000000000000000−2222000000
χ374-44-44-40000002i−2i002i−2i2i−2i2i−2i2-2002-20000000000000000000
χ384-44-44-40000002i−2i002i−2i−2i2i−2i2i-2200-220000000000000000000
χ394-44-44-4000000−2i2i00−2i2i2i−2i2i−2i-2200-220000000000000000000
χ404-44-44-4000000−2i2i00−2i2i−2i2i−2i2i2-2002-20000000000000000000
χ414-44-4-440000002i−2i00−2i2i2i−2i−2i2i2-200-220000000000000000000
χ424-44-4-440000002i−2i00−2i2i−2i2i2i−2i-22002-20000000000000000000
χ434-44-4-44000000−2i2i002i−2i2i−2i−2i2i-22002-20000000000000000000
χ444-44-4-44000000−2i2i002i−2i−2i2i2i−2i2-200-220000000000000000000
χ4588-8-800-88000000000000000000000000000000000000000
χ468-8-88000000000000000000004i−4i000000000000000000000
χ478-8-8800000000000000000000−4i4i000000000000000000000

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