Finite Group Databasebeta

← Group #332007

Character table — Group #332007

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444444888816161616161616161616161616161616161616161616323232
order12224424444488882224444444448888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111-1-11-11-1-1-111-1-1-1-11111-1-1-11-1
χ31111111111111111-1-111-1-1-111-111-1-1-1-111-1-111-1-11
χ41111111111111111-1-1-1-1-11-1-1-1111111111-1-1-1-11-1-1
χ511111111111111-1-1111-11-111-1-1-1-1-1-1111-1-1-1111-1-1
χ611111111111111-1-111-11111-111-1-111-1-11-1-1-1-1-1-1-11
χ711111111111111-1-1-1-11-1-11-11-11-1-111-1-11-11111-11-1
χ811111111111111-1-1-1-1-11-1-1-1-11-1-1-1-1-1111-111-1-1111
χ9111111111111-1-1111-1111-1-111-1-1-111-1-1-1111-1-11-1-1
χ10111111111111-1-1111-1-1-111-1-1-11-1-1-1-111-111111-1-11
χ11111111111111-1-111-1111-111111-1-1-1-111-11-1-1-1-1-11-1
χ12111111111111-1-111-11-1-1-1-11-1-1-1-1-111-1-1-11-1-111111
χ13111111111111-1-1-1-11-11-111-11-1111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111-1-1-1-11-1-111-1-1-11-1111111-1-1-1-111-11-1
χ15111111111111-1-1-1-1-111-1-1-111-1-1111111-1-111-1-1-1-11
χ16111111111111-1-1-1-1-11-11-111-11111-1-1-1-1-1-111111-1-1
χ17222222-2-22-2-2222002200-20-2000000000-200000000
χ18222222-2-22-2-222200-2-200202000000000-200000000
χ19222222-2-22-2-22-2-2002-200-202000000000200000000
χ20222222-2-22-2-22-2-200-220020-2000000000200000000
χ21222222-2-2-222-20022002-2000-2200000000-20000000
χ22222222-2-2-222-2002200-220002-200000000-20000000
χ23222222-2-2-222-200-2-20022000-2-20000000020000000
χ24222222-2-2-222-200-2-200-2-2000220000000020000000
χ252222-2-2-2222-2-20000000002000-2000000002i−2i2i−2i000
χ262222-2-2-2222-2-20000000002000-200000000−2i2i−2i2i000
χ272222-2-2-2222-2-2000000000-20002000000002i−2i−2i2i000
χ282222-2-2-2222-2-2000000000-2000200000000−2i2i2i−2i000
χ2944444444-4-4-4-400000000000000000000000000000
χ304444-4-44-44-44-400000000000000000000000000000
χ314444-4-44-4-44-4400000000000000000000000000000
χ324444-4-4-44-4-44400000000000000000000000000000
χ3344-4-4-4400000022−222i2−2i200000000002i−2i0000000000000
χ3444-4-4-4400000022−22−2i22i20000000000−2i2i0000000000000
χ3544-4-4-44000000−22222i2−2i20000000000−2i2i0000000000000
χ3644-4-4-44000000−2222−2i22i200000000002i−2i0000000000000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-80000000000000000000000002i2−2i200000000000
χ398-88-8000000000000000000000000−2i22i200000000000
χ408-8-880000000000000000000000000022−22000000000
χ418-8-8800000000000000000000000000−2222000000000

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