Finite Group Databasebeta

← Group #145246

Character table — Group #145246

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122224444444448816161616161616161616161616161616323232323232
order1222224444444888888248888881616161616161616448888
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ92222222222222-2-2-2-2-2-222-2-2000000000000000000
χ102222222222222-2-2-2-2-2-2-2-222000000000000000000
χ11222222222-2-2-2-222-2-22-20000000000000000002i−2i00
χ12222222222-2-2-2-222-2-22-2000000000000000000−2i2i00
χ13222222222-2-2-2-2-2-222-22000000000000000000002i−2i
χ14222222222-2-2-2-2-2-222-2200000000000000000000−2i2i
χ15222222-2-2-22-2-220000002-2000000i2i2−i2−i2i2i2−i2−i2000000
χ16222222-2-2-22-2-220000002-2000000−i2−i2i2i2−i2−i2i2i2000000
χ17222222-2-2-22-2-22000000-22000000i2i2−i2−i2−i2−i2i2i2000000
χ18222222-2-2-22-2-22000000-22000000−i2−i2i2i2i2i2−i2−i2000000
χ192222-2-222-222-2-22222-2-20000000000002-22-2000000
χ202222-2-222-222-2-22222-2-2000000000000-22-22000000
χ212222-2-222-222-2-2-2-2-2-222000000002i−2i2i−2i0000000000
χ222222-2-222-222-2-2-2-2-2-22200000000−2i2i−2i2i0000000000
χ232222-2-222-2-2-22222-2-2-2200000000000000002-20000
χ242222-2-222-2-2-22222-2-2-220000000000000000-220000
χ252222-2-222-2-2-222-2-2222-2000022-2-200000000000000
χ262222-2-222-2-2-222-2-2222-20000-2-22200000000000000
χ272222-2-2-2-222-22-2000000002i−2i00002−2−22i2−i2−i2i2000000
χ282222-2-2-2-222-22-2000000002i−2i0000−222−2−i2i2i2−i2000000
χ292222-2-2-2-222-22-200000000−2i2i00002−2−22−i2i2i2−i2000000
χ302222-2-2-2-222-22-200000000−2i2i0000−222−2i2−i2−i2i2000000
χ31444444-4-4-4-444-40000000000000000000000000000
χ324444-4-4-4-44-44-440000000000000000000000000000
χ334-44-400-4400000004-4000000002i2−2i200000000000000
χ344-44-400-4400000004-400000000−2i22i200000000000000
χ354-44-400-440000000-440000002i2−2i20000000000000000
χ364-44-400-440000000-44000000−2i22i20000000000000000
χ3788-8-800000000042−4200000000000000000000000000
χ3888-8-8000000000−424200000000000000000000000000
χ398-88-8008-8000000000000000000000000000000000
χ408-8-888-800000000000000000000000000000000000
χ418-8-88-8800000000000000000000000000000000000

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