Finite Group Databasebeta

← Group #487246

Character table — Group #487246

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244488888881616161616161616161616161616161616161632323232
order12222222244444444444444444444444488888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1111-1-111-1-111-1-11111-1-1-1-1
χ4111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111-1-111111-1-1111-1111-1-1-11-1-1-1-1-111-1-1
χ6111111111111-1-111111-1-1-1-11-1-1-11-1-1-11-11111-1-111
χ7111111111111-1-11111-11-111-1111-11-1-1-11-1-1-1-1-1-111
χ8111111111111-1-11111-11-1-1-1-11-1-1-11-1-1-11111111-1-1
χ91111-1-111-111-111-1-1111-1-11-1-111-1-1-11-11111-1-11-11-1
χ101111-1-111-111-111-1-1111-1-1-11-11-11-1-11-111-1-111-11-11
χ111111-1-111-111-111-1-111-11-11-11-11-1111-1-1-111-1-1-11-11
χ121111-1-111-111-111-1-111-11-1-111-1-11111-1-1-1-1-1111-11-1
χ131111-1-111-111-1-1-1-1-1111111-1-1-11-1-11-111-1-1-1111-1-11
χ141111-1-111-111-1-1-1-1-111111-11-1-1-11-11-111-111-1-1-111-1
χ151111-1-111-111-1-1-1-1-111-1-111-1111-11-1-11-11-1-111-111-1
χ161111-1-111-111-1-1-1-1-111-1-11-1111-111-1-11-1111-1-11-1-11
χ1722222222222200-2-2-2-2200002000-2000-2000000000
χ1822222222222200-2-2-2-2-20000-200020002000000000
χ19222222222-2-2-2002-22-20200002000-2000-200000000
χ20222222222-2-2-2002-22-20-20000-20002000200000000
χ21222222222-2-2-222-22-2200200000000-2-20000000000
χ22222222222-2-2-2-2-2-22-2200-200000000220000000000
χ232222-2-222-222-20022-2-220000-20002000-2000000000
χ242222-2-222-222-20022-2-2-200002000-20002000000000
χ252222-2-222-2-2-2200-222-2020000-2000-2000200000000
χ262222-2-222-2-2-2200-222-20-2000020002000-200000000
χ272222-2-222-2-2-22222-2-2200-200000000-220000000000
χ282222-2-222-2-2-22-2-22-2-22002000000002-20000000000
χ29444444-4-4-40000000000002200-2-200000000000000
χ30444444-4-4-4000000000000-2-2002200000000000000
χ314444-4-4-4-440000000000002-200-2200000000000000
χ324444-4-4-4-44000000000000-22002-200000000000000
χ3344-4-4004-404-400000000000000000000000022−220000
χ3444-4-4004-404-4000000000000000000000000−22220000
χ3544-4-4004-40-44000000000000000000000022−22000000
χ3644-4-4004-40-440000000000000000000000−2222000000
χ3788-8-800-88000000000000000000000000000000000
χ388-88-88-800000000000000000000000000000000000
χ398-88-8-8800000000000000000000000000000000000
χ408-8-88000000004i−4i000000000000000000000000000
χ418-8-8800000000−4i4i000000000000000000000000000

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