Finite Group Databasebeta

← Group #339896

Character table — Group #339896

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444488888888888888881616161616161616161616163232323232
order12224444442444444488888888888844444488888844888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111-1-11-11-1-1-111-111-1-1-11-1-1
χ311111111111111111111-1-11111-1-111-11-11-1-11-111-11-1-1-11-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11
χ5111111111111111111-1-11111-1-11111-1-1-1-111-111-111-1-1-1-11
χ6111111111111111111-1-111-1-1-1-111-1-1-11-11-1-1-11-1-11-111-11-1
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
χ911111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111
χ1011111111111111-1-1-1-11111-1-1-1-1-1-111-11-1111-1-1111-1-111-1-1
χ1111111111111111-1-1-1-111-1-111-1-111-1-11-11-111-11-11-11-11-11-1
χ1211111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-11-1-1-11
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1-111-11-1-11
χ1411111111111111-1-1-1-1-1-111-1-111-1-1111-11-1111-11-11-11-1-11-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-11-111111-1-1-111-11-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-11111
χ17222222-222-2-2-22-20000000022220000020-200-20000-200000
χ18222222-222-2-2-22-20000000022-2-200000-2020020000-200000
χ19222222-222-2-2-22-200000000-2-22200000-20200-20000200000
χ20222222-222-2-2-22-200000000-2-2-2-20000020-20020000200000
χ2122222-222-22-2-2-220000220000002200-2020000-20-20000000
χ2222222-222-22-2-2-22000022000000-2-20020-2000020-20000000
χ2322222-222-22-2-2-220000-2-2000000220020-20000-2020000000
χ2422222-222-22-2-2-220000-2-2000000-2-200-20200002020000000
χ252222-222-222-22-2-2000000220000002200002-200-20-2000000
χ262222-222-222-22-2-200000022000000-2-20000-220020-2000000
χ272222-222-222-22-2-2000000-2-2000000220000-2200-202000000
χ282222-222-222-22-2-2000000-2-2000000-2-200002-200202000000
χ2944444-4-44-4-444-4-4000000000000000000000000000000000
χ304444-44-4-44-44-4-44000000000000000000000000000000000
χ314444-4-44-4-444-44-4000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000
χ3344-4-4400-400000022-2-222−22000022−22000000000000000000000
χ3444-4-4400-400000022-2-2−22220000−2222000000000000000000000
χ3544-4-4400-4000000-2-22222−220000−2222000000000000000000000
χ3644-4-4400-4000000-2-222−2222000022−22000000000000000000000
χ374-44-400-400400002i−2i2i−2i0022−2200002i2−2i20000000000000000000
χ384-44-400-400400002i−2i2i−2i00−22220000−2i22i20000000000000000000
χ394-44-400-40040000−2i2i−2i2i0022−220000−2i22i20000000000000000000
χ404-44-400-40040000−2i2i−2i2i00−222200002i2−2i20000000000000000000
χ414-4-440-4004000002i−2i−2i2i00002i2−2i2000022−2200000000000000000
χ424-4-440-4004000002i−2i−2i2i0000−2i22i20000−222200000000000000000
χ434-4-440-400400000−2i2i2i−2i00002i2−2i20000−222200000000000000000
χ444-4-440-400400000−2i2i2i−2i0000−2i22i2000022−2200000000000000000
χ4588-8-8-8008000000000000000000000000000000000000000
χ468-88-800800-80000000000000000000000000000000000000
χ478-8-880800-800000000000000000000000000000000000000

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