Finite Group Databasebeta

← Group #331950

Character table — Group #331950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444448888881616161616161616161616161616161616161632323232
order12224424444444888822444444488888888888888
χ111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1
χ31111111111111111-1-1111-11111-1-1-1-1-11-1-1-1-1-1-111-1
χ41111111111111111-1-1-1-1-111-1-1-11-1-1-1-11-11111-11-11
χ511111111111111-1-1111-111111-11-1-1-1-1-11-1-1-1-11-1-11
χ611111111111111-1-111-11-1-11-1-11-1-1-1-1-1-1111111-11-1
χ711111111111111-1-1-1-11-11-1111-1-11111-1-11111-1-1-1-1
χ811111111111111-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1-1-111
χ9111111111111-1-1111111-1-1-11-11-1-1-1111111-1-1-1-1-11
χ10111111111111-1-11111-1-111-1-11-11-1-11111-1-111-1-11-1
χ11111111111111-1-111-1-111-11-11-11111-1-11-1-1-1111-1-1-1
χ12111111111111-1-111-1-1-1-11-1-1-11-1-111-1-11-111-1-11-111
χ13111111111111-1-1-1-1111-1-1-1-11-1-1-111-1-1-11-1-111-1111
χ14111111111111-1-1-1-111-1111-1-111111-1-1-1111-1-1-11-1-1
χ15111111111111-1-1-1-1-1-11-1-11-11-1-11-1-111-1-111-1-1111-1
χ16111111111111-1-1-1-1-1-1-111-1-1-111-1-1-111-1-1-1-11111-11
χ17222222-2-22-22-2000022002200-20-200000-200000000
χ18222222-2-22-22-200002200-2-20020200000-200000000
χ19222222-2-22-22-20000-2-2002-200-20200000200000000
χ20222222-2-22-22-20000-2-200-220020-200000200000000
χ21222222-2-2-22-220022002-2000-20200000-2000000000
χ22222222-2-2-22-22002200-2200020-200000-2000000000
χ23222222-2-2-22-2200-2-20022000-20-2000002000000000
χ24222222-2-2-22-2200-2-200-2-2000202000002000000000
χ252222-2-22-222-2-22200000000-200000000002i−2i2i−2i0000
χ262222-2-22-222-2-22200000000-20000000000−2i2i−2i2i0000
χ272222-2-22-222-2-2-2-200000000200000000002i−2i−2i2i0000
χ282222-2-22-222-2-2-2-20000000020000000000−2i2i2i−2i0000
χ2944444444-4-4-4-400000000000000000000000000000
χ304444-4-44-4-4-44400000000000000000000000000000
χ314444-4-4-444-4-4400000000000000000000000000000
χ324444-4-4-44-444-400000000000000000000000000000
χ3344-4-4-44000000002i2−2i222−22000000000002i−2i0000000000
χ3444-4-4-44000000002i2−2i2−222200000000000−2i2i0000000000
χ3544-4-4-4400000000−2i22i222−2200000000000−2i2i0000000000
χ3644-4-4-4400000000−2i22i2−2222000000000002i−2i0000000000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-8000000004i−4i000000000000000000000000000
χ398-88-800000000−4i4i000000000000000000000000000
χ408-8-88000000000000000000000002i2−2i2000000000000
χ418-8-8800000000000000000000000−2i22i2000000000000

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