Finite Group Databasebeta

← Group #339865

Character table — Group #339865

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444488888888888888881616161616161616161616163232323232
order12224444442444444488888888888824444488888844888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-1-111-1-1-11-1111-1-1-11-1-1
χ31111111111111111111111-1-111-1-111-1-1-111-1-1111-11-1-1-11-1
χ41111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-111-1-11
χ5111111111111111111-1-1-1-1111111111-1-1-1-1111-1-111-1-1-1-11
χ6111111111111111111-1-1-1-111-1-111-1-1-1-1-111-11-1-1-11-111-11-1
χ7111111111111111111-1-1-1-1-1-111-1-111-111-1-1-1-11-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111
χ911111111111111-1-1-1-111-1-11111-1-1-1-1111-1-11-1-11-1111-1-11-1
χ1011111111111111-1-1-1-111-1-111-1-1-1-111-11111-1-111-11-1-11-1-11
χ1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11-11111
χ1211111111111111-1-1-1-111-1-1-1-1-1-111111-1-1111111-1-1-11-11-1-1
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-11-1-1111-1-1-1111-111-1-1
χ1411111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-111-11-1111
χ1511111111111111-1-1-1-1-1-111-1-11111-1-1-11111-11-1-11-111-1-1-11
χ1611111111111111-1-1-1-1-1-111-1-1-1-11111111-1-1111-11-1-1-11-11-1
χ17222222-222-2-22-2-20000000000002222-200002-2-2000000000
χ18222222-222-2-22-2-200000000000022-2-220000-2-22000000000
χ19222222-222-2-22-2-2000000000000-2-22220000-22-2000000000
χ20222222-222-2-22-2-2000000000000-2-2-2-2-20000222000000000
χ2122222-222-22-2-22-200000022002200000002-20000-20-200000
χ2222222-222-22-2-22-20000002200-2-20000000-220000-20200000
χ2322222-222-22-2-22-2000000-2-200220000000-22000020-200000
χ2422222-222-22-2-22-2000000-2-200-2-200000002-2000020200000
χ252222-222-222-2-2-22000022002200000002-200000-20-2000000
χ262222-222-222-2-2-2200002200-2-20000000-2200000-202000000
χ272222-222-222-2-2-220000-2-200220000000-220000020-2000000
χ282222-222-222-2-2-220000-2-200-2-200000002-200000202000000
χ2944444-4-44-4-44-4-44000000000000000000000000000000000
χ304444-44-4-44-44-44-4000000000000000000000000000000000
χ314444-4-44-4-4444-4-4000000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000000
χ3344-4-400-4004000022-2-22i2−2i22i2−2i20000000000000000000000000
χ3444-4-400-4004000022-2-2−2i22i2−2i22i20000000000000000000000000
χ3544-4-400-40040000-2-2222i2−2i2−2i22i20000000000000000000000000
χ3644-4-400-40040000-2-222−2i22i22i2−2i20000000000000000000000000
χ374-44-40-4004000002i−2i2i−2i000022−22002i2−2i20000000000000000000
χ384-44-40-4004000002i−2i2i−2i0000−222200−2i22i20000000000000000000
χ394-44-40-400400000−2i2i−2i2i000022−2200−2i22i20000000000000000000
χ404-44-40-400400000−2i2i−2i2i0000−2222002i2−2i20000000000000000000
χ414-4-44-40040000002i−2i−2i2i00000022−22002i2−2i200000000000000000
χ424-4-44-40040000002i−2i−2i2i000000−222200−2i22i200000000000000000
χ434-4-44-4004000000−2i2i2i−2i00000022−2200−2i22i200000000000000000
χ444-4-44-4004000000−2i2i2i−2i000000−2222002i2−2i200000000000000000
χ4588-8-800800-80000000000000000000000000000000000000
χ468-88-80800-800000000000000000000000000000000000000
χ478-8-88800-8000000000000000000000000000000000000000

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