Finite Group Databasebeta

← Group #332004

Character table — Group #332004

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444444888816161616161616161616161616161616161616161616323232
order12224424444488882222244444448888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1
χ31111111111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11
χ41111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1
χ511111111111111-1-1111-111111-1-1-111-1-11-1-1-1-1-1-1-11
χ611111111111111-1-111-11-1-111-11-1-1-1-1111-1-1-1111-1-1
χ711111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1111-111-1-1111
χ811111111111111-1-1-1-1-1111-1-1-11-1-111-1-11-11111-11-1
χ9111111111111-1-1111-111111-111-1-1-1-111-11-1-1-1-1-11-1
χ10111111111111-1-1111-1-1-1-1-11-1-1-1-1-111-1-1-11-1-111111
χ11111111111111-1-111-1111-1-1-1111-1-111-1-1-1111-1-11-1-1
χ12111111111111-1-111-11-1-111-11-1-1-1-1-1-111-111111-1-11
χ13111111111111-1-1-1-11-11-1111-11-111-1-1-1-1-1-111111-1-1
χ14111111111111-1-1-1-11-1-11-1-11-1-11111111-1-111-1-1-1-11
χ15111111111111-1-1-1-1-111-1-1-1-111-1111111-1-1-1-111-11-1
χ16111111111111-1-1-1-1-11-1111-11-1111-1-1-1-1-1-1-1-1-1-1111
χ17222222-2-22-22-20022002-20000-220000000-20000000
χ18222222-2-22-22-2002200-2200002-20000000-20000000
χ19222222-2-22-22-200-2-200220000-2-2000000020000000
χ20222222-2-22-22-200-2-200-2-2000022000000020000000
χ21222222-2-2-22-2222002-20000-2200000000-200000000
χ22222222-2-2-22-222200-2200002-200000000-200000000
χ23222222-2-2-22-22-2-200220000-2-200000000200000000
χ24222222-2-2-22-22-2-200-2-200002200000000200000000
χ252222-2-2-2222-2-2000000002-20000000000002i−2i2i−2i000
χ262222-2-2-2222-2-2000000002-2000000000000−2i2i−2i2i000
χ272222-2-2-2222-2-200000000-220000000000002i−2i−2i2i000
χ282222-2-2-2222-2-200000000-22000000000000−2i2i2i−2i000
χ2944444444-4-4-4-400000000000000000000000000000
χ304444-4-44-44-4-4400000000000000000000000000000
χ314444-4-44-4-444-400000000000000000000000000000
χ324444-4-4-44-4-44400000000000000000000000000000
χ3344-4-44-40000002i2−2i22i2−2i200000000002-20000000000000
χ3444-4-44-40000002i2−2i2−2i22i20000000000-220000000000000
χ3544-4-44-4000000−2i22i22i2−2i20000000000-220000000000000
χ3644-4-44-4000000−2i22i2−2i22i200000000002-20000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-80000000000000000000000000022−22000000000
χ398-88-800000000000000000000000000−2222000000000
χ408-8-8800000000000000000000000022−2200000000000
χ418-8-88000000000000000000000000−222200000000000

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