Finite Group Databasebeta

← Group #145615

Character table — Group #145615

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122224444444448816161616161616161616161616161616323232323232
order1222444424444888888888888881616161616161616444488
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
χ51111111111111111111-1-1-1-111111111-1-1-1-11-11-1-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-11111-11-11-1-1
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111
χ92222222222222-2-2-2-2-2-222-2-2000000000000000000
χ102222222222222-2-2-2-2-2-2-2-222000000000000000000
χ1122222222-2-2-22-22-2-222-2000000000000000020-2000
χ1222222222-2-2-22-22-2-222-20000000000000000-202000
χ1322222222-2-2-22-2-222-2-220000000000000000020-200
χ1422222222-2-2-22-2-222-2-2200000000000000000-20200
χ15222222-2-222-2-2-22-2-22-22000000002i2i−2i−2i0000000000
χ16222222-2-222-2-2-22-2-22-2200000000−2i−2i2i2i0000000000
χ17222222-2-222-2-2-2-222-22-20000000000002i2i−2i−2i000000
χ18222222-2-222-2-2-2-222-22-2000000000000−2i−2i2i2i000000
χ19222222-2-2-2-22-222222-2-2000022-2-200000000000000
χ20222222-2-2-2-22-222222-2-20000-2-22200000000000000
χ21222222-2-2-2-22-22-2-2-2-222000000000000000000002i−2i
χ22222222-2-2-2-22-22-2-2-2-22200000000000000000000−2i2i
χ232222-2-2222-2-2-220000002-20000002−22−22−22−2000000
χ242222-2-2222-2-2-220000002-2000000−22−22−22−22000000
χ252222-2-2222-2-2-22000000-220000002−22−2−22−22000000
χ262222-2-2222-2-2-22000000-22000000−22−222−22−2000000
χ272222-2-2-2-22-222-2000000002-20000i2−i2−i2i2i2−i2−i2i2000000
χ282222-2-2-2-22-222-2000000002-20000−i2i2i2−i2−i2i2i2−i2000000
χ292222-2-2-2-22-222-200000000-220000i2−i2−i2i2−i2i2i2−i2000000
χ302222-2-2-2-22-222-200000000-220000−i2i2i2−i2i2−i2−i2i2000000
χ314444-4-444-444-4-40000000000000000000000000000
χ324444-4-4-4-4-44-4440000000000000000000000000000
χ3344-4-44-40000000400-40000000022−2200000000000000
χ3444-4-44-40000000400-400000000−222200000000000000
χ3544-4-44-40000000-40040000002i2−2i20000000000000000
χ3644-4-44-40000000-4004000000−2i22i20000000000000000
χ3788-8-8-8800000000000000000000000000000000000
χ388-88-8000000000042−420000000000000000000000000
χ398-88-80000000000−42420000000000000000000000000
χ408-8-88008-8000000000000000000000000000000000
χ418-8-8800-88000000000000000000000000000000000

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