Finite Group Databasebeta

← Group #331981

Character table — Group #331981

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111224444448888881616161616161616161616161616161616161632323232
order12224424444444888822224444488888888888888
χ111111111111111111111111111111111111111111
χ21111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ31111111111111111-1-1111-11111-1-1-1-1-11-1-1-1-1-11-11-1
χ41111111111111111-1-11-1-11-1-1-1-11-1-1-1-11-111111-1-11
χ511111111111111-1-11111-11111-11-1-1-1-1-11-1-1-1-1-11-11
χ611111111111111-1-1111-11-1-1-1-11-1-1-1-1-1-111111-111-1
χ711111111111111-1-1-1-111-1-1111-1-11111-1-11111-1-1-1-1
χ811111111111111-1-1-1-11-111-1-1-1111111-1-1-1-1-1-1-1-111
χ9111111111111-1-11111-11-111-1-1-11-1-1111111-1-1-1-11-1
χ10111111111111-1-11111-1-11-1-1111-1-1-11111-1-111-1-1-11
χ11111111111111-1-111-1-1-11-1-11-1-1-1-111-1-11-1-1-111-1111
χ12111111111111-1-111-1-1-1-111-1111111-1-11-111-1-1-11-1-1
χ13111111111111-1-1-1-111-11111-1-11111-1-1-11-1-1111-1-1-1
χ14111111111111-1-1-1-111-1-1-1-1-111-1-111-1-1-1111-1-11-111
χ15111111111111-1-1-1-1-1-1-111-11-1-11-1-1-111-1-111-1-111-11
χ16111111111111-1-1-1-1-1-1-1-1-11-111-11-1-111-1-1-1-111111-1
χ17222222-22-2-22-2000022020-2-2000200000-200000000
χ18222222-22-2-22-20000220-2022000-200000-200000000
χ19222222-22-2-22-20000-2-20202-2000-200000200000000
χ20222222-22-2-22-20000-2-20-20-22000200000200000000
χ21222222-2-22-2-22002200002002-2-200000-2000000000
χ22222222-2-22-2-2200220000-200-22200000-2000000000
χ23222222-2-22-2-2200-2-20000200-22-2000002000000000
χ24222222-2-22-2-2200-2-20000-2002-22000002000000000
χ252222-2-2222-2-2-2220000-2000000000000002i−2i2i−2i0000
χ262222-2-2222-2-2-2220000-200000000000000−2i2i−2i2i0000
χ272222-2-2222-2-2-2-2-200002000000000000002i−2i−2i2i0000
χ282222-2-2222-2-2-2-2-20000200000000000000−2i2i2i−2i0000
χ294444444-4-44-4-400000000000000000000000000000
χ304444-4-44-4-4-44400000000000000000000000000000
χ314444-4-4-44-44-4400000000000000000000000000000
χ324444-4-4-4-4444-400000000000000000000000000000
χ334-44-44-40000000022−222i2−2i2000000000002i−2i0000000000
χ344-44-44-40000000022−22−2i22i200000000000−2i2i0000000000
χ354-44-44-400000000−22222i2−2i200000000000−2i2i0000000000
χ364-44-44-400000000−2222−2i22i2000000000002i−2i0000000000
χ3788-8-8000000004i−4i000000000000000000000000000
χ3888-8-800000000−4i4i000000000000000000000000000
χ398-88-8-8800000000000000000000000000000000000
χ408-8-880000000000000000000000022−22000000000000
χ418-8-8800000000000000000000000−2222000000000000

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