Finite Group Databasebeta

← Group #143576

Character table — Group #143576

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444444444444816161616161616161616161616161616323232323232
order1222442444448888888248888881616161616161616244488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111-1-1-1-111111111-1-1-1-11-1-11-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ9222222222222-2-2-2-2-2-2-222-2-2000000000000000000
χ10222222222222-2-2-2-2-2-2-2-2-222000000000000000000
χ1122222222-2-2-2-222-2-2-2-22000000002i2i−2i−2i0000000000
χ1222222222-2-2-2-222-2-2-2-2200000000−2i−2i2i2i0000000000
χ1322222222-2-2-2-2-2-22222-200000000000022-2-2000000
χ1422222222-2-2-2-2-2-22222-2000000000000-2-222000000
χ15222222-2-22-2-222222-2-2-20000000000000000200-200
χ16222222-2-22-2-222222-2-2-20000000000000000-200200
χ17222222-2-22-2-22-2-2-2-2222000000000000000000002-2
χ18222222-2-22-2-22-2-2-2-222200000000000000000000-22
χ19222222-2-2-222-222-2-222-2000022-2-200000000000000
χ20222222-2-2-222-222-2-222-20000-2-22200000000000000
χ21222222-2-2-222-2-2-222-2-22000000000000000002-2000
χ22222222-2-2-222-2-2-222-2-2200000000000000000-22000
χ232222-2-2-2222-2-20000000002i−2i0000i2−i2i2−i22−22−2000000
χ242222-2-2-2222-2-20000000002i−2i0000−i2i2−i2i2−22−22000000
χ252222-2-2-2222-2-2000000000−2i2i0000i2−i2i2−i2−22−22000000
χ262222-2-2-2222-2-2000000000−2i2i0000−i2i2−i2i22−22−2000000
χ272222-2-2-22-2-22200000002-20000002−2−222−2−22000000
χ282222-2-2-22-2-22200000002-2000000−222−2−222−2000000
χ292222-2-2-22-2-2220000000-220000002−2−22−222−2000000
χ302222-2-2-22-2-2220000000-22000000−222−22−2−22000000
χ314444-4-44-44-44-400000000000000000000000000000
χ324444-4-44-4-44-4400000000000000000000000000000
χ3344-4-4-440000004-4000000000002i2−2i200000000000000
χ3444-4-4-440000004-400000000000−2i22i200000000000000
χ3544-4-4-44000000-440000000002i2−2i20000000000000000
χ3644-4-4-44000000-44000000000−2i22i20000000000000000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-80000000000004i2−4i200000000000000000000000
χ398-88-8000000000000−4i24i200000000000000000000000
χ408-8-88000000000042−420000000000000000000000000
χ418-8-880000000000−42420000000000000000000000000

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