Finite Group Databasebeta

← Group #145603

Character table — Group #145603

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122224444444448816161616161616161616161616161616323232323232
order1222444424444888888888888881616161616161616244488
χ111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111111111-1-1-1-111111111-1-1-1-1-111-1-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-111111-1-11-1-1
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111
χ92222222222222-2-2-2-2-2-222-2-2000000000000000000
χ102222222222222-2-2-2-2-2-2-2-222000000000000000000
χ1122222222-2-2-22-22-2-222-2000000000000000002-2000
χ1222222222-2-2-22-22-2-222-200000000000000000-22000
χ1322222222-2-2-22-2-222-2-220000000000000000200-200
χ1422222222-2-2-22-2-222-2-220000000000000000-200200
χ1522222-2-222-2-2-220000002-200000022−2−222−2−2000000
χ1622222-2-222-2-2-220000002-2000000−2−222−2−222000000
χ1722222-2-222-2-2-22000000-2200000022−2−2−2−222000000
χ1822222-2-222-2-2-22000000-22000000−2−22222−2−2000000
χ192222-222-22-22-2-22-2-22-22000000002i−2i2i−2i0000000000
χ202222-222-22-22-2-22-2-22-2200000000−2i2i−2i2i0000000000
χ212222-222-22-22-2-2-222-22-20000000000002i−2i2i−2i000000
χ222222-222-22-22-2-2-222-22-2000000000000−2i2i−2i2i000000
χ232222-222-2-22-2-222222-2-2000022-2-200000000000000
χ242222-222-2-22-2-222222-2-20000-2-22200000000000000
χ252222-222-2-22-2-22-2-2-2-222000000000000000000002i−2i
χ262222-222-2-22-2-22-2-2-2-22200000000000000000000−2i2i
χ272222-2-2-2-222-22-2000000002-20000i2−i2−i2i2i2−i2−i2i2000000
χ282222-2-2-2-222-22-2000000002-20000−i2i2i2−i2−i2i2i2−i2000000
χ292222-2-2-2-222-22-200000000-220000i2−i2−i2i2−i2i2i2−i2000000
χ302222-2-2-2-222-22-200000000-220000−i2i2i2−i2i2−i2−i2i2000000
χ3144444-4-44-444-4-40000000000000000000000000000
χ324444-4-4-4-4-4-44440000000000000000000000000000
χ334-4-4404-4000000400-4000000002i2−2i200000000000000
χ344-4-4404-4000000400-400000000−2i22i200000000000000
χ354-4-4404-4000000-400400000022−220000000000000000
χ364-4-4404-4000000-4004000000−22220000000000000000
χ3788-8-8000000000042−420000000000000000000000000
χ3888-8-80000000000−42420000000000000000000000000
χ398-88-8800-8000000000000000000000000000000000
χ408-88-8-8008000000000000000000000000000000000
χ418-8-880-880000000000000000000000000000000000

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