Finite Group Databasebeta

← Group #332015

Character table — Group #332015

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444444888816161616161616161616161616161616161616161616323232
order12224424444488882244444444448888888888888
χ111111111111111111111111111111111111111111
χ211111111111111111-1-111-11-1-1-111-1-1-1-11111-1-1-11-1
χ31111111111111111-11-1-1-1-1-11-1-111111111-1-1-1-11-1-1
χ41111111111111111-1-11-1-11-1-11111-1-1-1-111-1-111-1-11
χ511111111111111-1-111111-1111-1-1-111-1-11-1-1-1-1-1-1-11
χ611111111111111-1-11-1-11111-1-11-1-1-1-1111-1-1-1111-1-1
χ711111111111111-1-1-11-1-1-11-11-11-1-111-1-11-11111-11-1
χ811111111111111-1-1-1-11-1-1-1-1-11-1-1-1-1-1111-111-1-1111
χ9111111111111-1-11111-11-1-1-11-1-1-1-1-1-111-111111-1-11
χ10111111111111-1-1111-111-11-1-111-1-111-1-1-1111-1-11-1-1
χ11111111111111-1-111-111-1111111-1-1-1-111-11-1-1-1-1-11-1
χ12111111111111-1-111-1-1-1-11-11-1-1-1-1-111-1-1-11-1-111111
χ13111111111111-1-1-1-111-11-11-11-1111-1-1-1-1-1-1-1-1-1-1111
χ14111111111111-1-1-1-11-111-1-1-1-11-1111111-1-1-1-111-11-1
χ15111111111111-1-1-1-1-111-11-1111-111-1-1-1-1-1-111111-1-1
χ16111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-111-1-1-1-11
χ17222222-2-22-2-22002200200-200-220000000-20000000
χ18222222-2-22-2-22002200-2002002-20000000-20000000
χ19222222-2-22-2-2200-2-200200200-2-2000000020000000
χ20222222-2-22-2-2200-2-200-200-20022000000020000000
χ21222222-2-2-222-22200200-220-2000000000-200000000
χ22222222-2-2-222-22200-2002-202000000000-200000000
χ23222222-2-2-222-2-2-200200-2-202000000000200000000
χ24222222-2-2-222-2-2-200-200220-2000000000200000000
χ252222-2-2-2222-2-200000200000-200000000002i−2i2i−2i000
χ262222-2-2-2222-2-200000200000-20000000000−2i2i−2i2i000
χ272222-2-2-2222-2-200000-200000200000000002i−2i−2i2i000
χ282222-2-2-2222-2-200000-20000020000000000−2i2i2i−2i000
χ2944444444-4-4-4-400000000000000000000000000000
χ304444-4-44-44-44-400000000000000000000000000000
χ314444-4-44-4-44-4400000000000000000000000000000
χ324444-4-4-44-4-44400000000000000000000000000000
χ334-4-444-40000002i2−2i22i2−2i200000000002-20000000000000
χ344-4-444-40000002i2−2i2−2i22i20000000000-220000000000000
χ354-4-444-4000000−2i22i22i2−2i20000000000-220000000000000
χ364-4-444-4000000−2i22i2−2i22i200000000002-20000000000000
χ3788-8-80000000000000000000000000022−22000000000
χ3888-8-800000000000000000000000000−2222000000000
χ398-88-80000000000000000000000002i2−2i200000000000
χ408-88-8000000000000000000000000−2i22i200000000000
χ418-8-88-8800000000000000000000000000000000000

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