Finite Group Databasebeta

← Group #339882

Character table — Group #339882

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444488888888888888881616161616161616161616163232323232
order12224444442444444488888888888822444488888844888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111-1-11-11-1-1-111-111-1-1-11-1-1
χ311111111111111111111-1-11111-1-111-11-1-11-11-111-11-1-1-11-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-11-111-1-11-1-111-1-11
χ5111111111111111111-1-11111-1-11111-1-1-11-11-111-111-1-1-1-11
χ6111111111111111111-1-111-1-1-1-111-1-1-11-1-11-1-11-1-11-111-11-1
χ7111111111111111111-1-1-1-111-1-1-1-1111-11-1-1-1-1-11-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111
χ911111111111111-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-1-11111-1-1-11
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1111-111-11-1-1111-1-11-11-1
χ1111111111111111-1-1-1-111-1-111-1-111-1-1-11-1111-11-11-11-111-1-1
χ1211111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-11-1111
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-111-11111
χ1411111111111111-1-1-1-1-1-111-1-111-1-111-11-11111-11-11-11-11-1-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-11-111-1111-1-1-111-1-11-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1111111111-11-1111-1-1-1-11-1-11
χ17222222-222-2-2-2-2200000000002200220-20020-20-200000000
χ18222222-222-2-2-2-2200000000002200-2-20200-20-20200000000
χ19222222-222-2-2-2-220000000000-2-200220200-2020-200000000
χ20222222-222-2-2-2-220000000000-2-200-2-20-2002020200000000
χ2122222-222-22-22-2-20000000022002200000-2020-2000-200000
χ2222222-222-22-22-2-2000000002200-2-20000020-202000-200000
χ2322222-222-22-22-2-200000000-2-200220000020-20-2000200000
χ2422222-222-22-22-2-200000000-2-200-2-200000-20202000200000
χ252222-222-222-2-22-20000222200000000-202000000-2-2000000
χ262222-222-222-2-22-2000022-2-20000000020-2000000-22000000
χ272222-222-222-2-22-20000-2-2220000000020-20000002-2000000
χ282222-222-222-2-22-20000-2-2-2-200000000-20200000022000000
χ2944444-4-44-4-44-44-4000000000000000000000000000000000
χ304444-44-4-44-444-4-4000000000000000000000000000000000
χ314444-4-44-4-444-4-44000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000
χ3344-4-40-4004000002i2i−2i−2i22−2200002i2−2i2000000000000000000000
χ3444-4-40-4004000002i2i−2i−2i−22220000−2i22i2000000000000000000000
χ3544-4-40-400400000−2i−2i2i2i22−220000−2i22i2000000000000000000000
χ3644-4-40-400400000−2i−2i2i2i−222200002i2−2i2000000000000000000000
χ374-44-4-40040000002-22-200002i2−2i200002i2−2i200000000000000000
χ384-44-4-40040000002-22-20000−2i22i20000−2i22i200000000000000000
χ394-44-4-4004000000-22-2200002i2−2i20000−2i22i200000000000000000
χ404-44-4-4004000000-22-220000−2i22i200002i2−2i200000000000000000
χ414-4-4400400-400002i−2i−2i2i002i2−2i2000022−220000000000000000000
χ424-4-4400400-400002i−2i−2i2i00−2i22i20000−22220000000000000000000
χ434-4-4400400-40000−2i2i2i−2i002i2−2i20000−22220000000000000000000
χ444-4-4400400-40000−2i2i2i−2i00−2i22i2000022−220000000000000000000
χ4588-8-80800-800000000000000000000000000000000000000
χ468-88-8800-8000000000000000000000000000000000000000
χ478-8-8800-80080000000000000000000000000000000000000

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