Finite Group Databasebeta

← Group #487115

Character table — Group #487115

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244488888881616161616161616161616161616161616161632323232
order12222222244444444422244444444444488888888
χ111111111111111111111111111111111111111111
χ211111111111111111111-1-111-11-1-1-111-1-11111-1-1-1-1
χ3111111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111
χ511111111111111-1-111111111-1-1-11-1-1-11-1-1-1-1-111-1-1
χ611111111111111-1-11111-1-1111-11-11-1-1-11-1-1-1-1-1-111
χ711111111111111-1-111-1-111-1-1-1-1-11-1-1-11-11111-1-111
χ811111111111111-1-111-1-1-1-1-1-11-11-11-1-1-11111111-1-1
χ91111-1-111-111-1-1-111111-11-11-1-1-11-1-11-11111-1-11-11-1
χ101111-1-111-111-1-1-111111-1-111-11-1-1111-1-1-111-1-1-11-11
χ111111-1-111-111-1-1-11111-111-1-11-1-11-1-11-111-1-111-11-11
χ121111-1-111-111-1-1-11111-11-11-111-1-1111-1-1-1-1-1111-11-1
χ131111-1-111-111-1-1-1-1-1111-11-11-111-1-11-111-1-1-1111-1-11
χ141111-1-111-111-1-1-1-1-1111-1-111-1-1111-1-11-11-1-111-111-1
χ151111-1-111-111-1-1-1-1-111-111-1-1111-1-11-111-111-1-1-111-1
χ161111-1-111-111-1-1-1-1-111-11-11-11-1111-1-11-1111-1-11-1-11
χ17222222222222-2-200-2-2002200000-2000-2000000000
χ18222222222222-2-200-2-200-2-20000020002000000000
χ19222222222-2-2-22-2002-20000002020-2000-200000000
χ20222222222-2-2-22-2002-2000000-20-202000200000000
χ21222222222-2-2-2-2222-2200000002000-2-20000000000
χ22222222222-2-2-2-22-2-2-220000000-2000220000000000
χ232222-2-222-222-22200-2-2002-2000002000-2000000000
χ242222-2-222-222-22200-2-200-2200000-20002000000000
χ252222-2-222-2-2-222-222-220000000-2000-220000000000
χ262222-2-222-2-2-222-2-2-2-22000000020002-20000000000
χ272222-2-222-2-2-22-22002-200000020-20-2000200000000
χ282222-2-222-2-2-22-22002-2000000-20202000-200000000
χ29444444-4-4-40000000002200-2-200000000000000000
χ30444444-4-4-4000000000-2-2002200000000000000000
χ314444-4-4-4-440000000002-200-2200000000000000000
χ324444-4-4-4-44000000000-22002-200000000000000000
χ334-44-4004-404-40000000000000000000000002i2−2i20000
χ344-44-4004-404-4000000000000000000000000−2i22i20000
χ354-44-4004-40-4400000000000000000000002i2−2i2000000
χ364-44-4004-40-440000000000000000000000−2i22i2000000
χ3788-8-88-800000000000000000000000000000000000
χ3888-8-8-8800000000000000000000000000000000000
χ398-88-800-88000000000000000000000000000000000
χ408-8-8800000000004-40000000000000000000000000
χ418-8-880000000000-440000000000000000000000000

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