Finite Group Databasebeta

← Group #339855

Character table — Group #339855

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444488888888888888881616161616161616161616163232323232
order12224444442444444488888888888824444488888844888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-11-11-1-1-11-1111-1-1-11-1-1
χ31111111111111111111111-1-111-1-111-1-1-11-11-1111-11-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-111-1-11
χ5111111111111111111-1-1-1-111111111-11-1-11-111-1-111-1-1-1-11
χ6111111111111111111-1-1-1-111-1-111-1-1-1-1-11-111-1-1-11-111-11-1
χ7111111111111111111-1-1-1-1-1-111-1-1111-11-1-1-1-11-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111
χ911111111111111-1-1-1-111-1-11111-1-1-1-11-111-11-1-11-1111-1-1-11
χ1011111111111111-1-1-1-111-1-111-1-1-1-111111-11-1-111-11-1-11-11-1
χ1111111111111111-1-1-1-111-1-1-1-11111-1-1-11-11111-11-1-11-111-1-1
χ1211111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-11-1111
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111
χ1411111111111111-1-1-1-1-1-11111-1-1-1-111-11-1111-11-111-11-11-1-1
χ1511111111111111-1-1-1-1-1-111-1-11111-1-1111-11-11-1-11-111-1-11-1
χ1611111111111111-1-1-1-1-1-111-1-1-1-111111-111-1111-11-1-1-11-1-11
χ17222222-222-2-2-2-2200000000220000220-200200-200-2000000
χ18222222-222-2-2-2-2200000000220000-2-20200-200200-2000000
χ19222222-222-2-2-2-2200000000-2-20000220200-200-2002000000
χ20222222-222-2-2-2-2200000000-2-20000-2-20-2002002002000000
χ2122222-222-22-2-22-2000000220000220020-2000-200-20000000
χ2222222-222-22-2-22-2000000220000-2-200-202000200-20000000
χ2322222-222-22-2-22-2000000-2-200002200-202000-20020000000
χ2422222-222-22-2-22-2000000-2-20000-2-20020-200020020000000
χ252222-222-222-22-2-2000022000022000000020-200-200-200000
χ262222-222-222-22-2-20000220000-2-20000000-20200-200200000
χ272222-222-222-22-2-20000-2-20000220000000-20200200-200000
χ282222-222-222-22-2-20000-2-20000-2-2000000020-200200200000
χ2944444-4-44-4-444-4-4000000000000000000000000000000000
χ304444-44-4-44-44-44-4000000000000000000000000000000000
χ314444-4-44-4-444-4-44000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000
χ3344-4-4400-400000022-2-2000022−220022−220000000000000000000
χ3444-4-4400-400000022-2-20000−222200−22220000000000000000000
χ3544-4-4400-4000000-2-222000022−2200−22220000000000000000000
χ3644-4-4400-4000000-2-2220000−22220022−220000000000000000000
χ374-44-40-4004000002-22-20000002i2−2i2002i2−2i200000000000000000
χ384-44-40-4004000002-22-2000000−2i22i200−2i22i200000000000000000
χ394-44-40-400400000-22-220000002i2−2i200−2i22i200000000000000000
χ404-44-40-400400000-22-22000000−2i22i2002i2−2i200000000000000000
χ414-4-4400400-400002-2-222i2−2i22i2−2i20000000000000000000000000
χ424-4-4400400-400002-2-22−2i22i2−2i22i20000000000000000000000000
χ434-4-4400400-40000-222-22i2−2i2−2i22i20000000000000000000000000
χ444-4-4400400-40000-222-2−2i22i22i2−2i20000000000000000000000000
χ4588-8-8-8008000000000000000000000000000000000000000
χ468-88-80800-800000000000000000000000000000000000000
χ478-8-8800-80080000000000000000000000000000000000000

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