Finite Group Databasebeta

← Group #487013

Character table — Group #487013

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244488888881616161616161616161616161616161616161632323232
order12222222244444444422244444444444488888888
χ111111111111111111111111111111111111111111
χ211111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-111-111-1-11-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111
χ511111111111111-1-111-1-11-1-1111111-1-11-1-1-1-1-1-1-111
χ611111111111111-1-111-1-11-1-1-1-11-1-11-1-11-1111111-1-1
χ711111111111111-1-111-1-1-11111-111-11-1-11-1-1-1-111-1-1
χ811111111111111-1-111-1-1-111-1-1-1-1-1-11-1-111111-1-111
χ91111-1-111-111-1-1-111111-111-11-1-11-1-11-11-111-1-11-11-1
χ101111-1-111-111-1-1-111111-111-1-11-1-11-11-11-1-1-111-11-11
χ111111-1-111-111-1-1-111111-1-1-111-111-11-1-1-1111-1-1-11-11
χ121111-1-111-111-1-1-111111-1-1-11-111-111-1-1-11-1-1111-11-1
χ131111-1-111-111-1-1-1-1-111-111-111-1-11-1-1-1111-1-111-111-1
χ141111-1-111-111-1-1-1-1-111-111-11-11-1-11-1-111111-1-11-1-11
χ151111-1-111-111-1-1-1-1-111-11-11-11-111-1111-1-1-1-1111-1-11
χ161111-1-111-111-1-1-1-1-111-11-11-1-111-11111-1-111-1-1-111-1
χ17222222222222-2-200-2-200022000000-200-200000000
χ18222222222222-2-200-2-2000-2-2000000200200000000
χ19222222222-2-2-22-2002-20020000200-200-2000000000
χ20222222222-2-2-22-2002-200-20000-2002002000000000
χ21222222222-2-2-2-2222-22-2-2000000000020000000000
χ22222222222-2-2-2-22-2-2-22220000000000-20000000000
χ232222-2-222-222-22200-2-20002-2000000-200200000000
χ242222-2-222-222-22200-2-2000-22000000200-200000000
χ252222-2-222-2-2-222-222-22-220000000000-20000000000
χ262222-2-222-2-2-222-2-2-2-222-2000000000020000000000
χ272222-2-222-2-2-22-22002-20020000-200200-2000000000
χ282222-2-222-2-2-22-22002-200-20000200-2002000000000
χ29444444-4-4-400000000000000220-2-20000000000000
χ30444444-4-4-400000000000000-2-20220000000000000
χ314444-4-4-4-44000000000000002-20-220000000000000
χ324444-4-4-4-4400000000000000-2202-20000000000000
χ3344-4-400-4404-40000000000000000000000002i2−2i20000
χ3444-4-400-4404-4000000000000000000000000−2i22i20000
χ3544-4-400-440-4400000000000000000000002i2−2i2000000
χ3644-4-400-440-440000000000000000000000−2i22i2000000
χ3788-8-8008-8000000000000000000000000000000000
χ388-88-800000000004i−4i0000000000000000000000000
χ398-88-80000000000−4i4i0000000000000000000000000
χ408-8-888-800000000000000000000000000000000000
χ418-8-88-8800000000000000000000000000000000000

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