Finite Group Databasebeta

← Group #339868

Character table — Group #339868

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444488888888888888881616161616161616161616163232323232
order12224444442444444488888888888824444488888844888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11-1-1
χ311111111111111111111-1-111-1-111111-1-1-11-11-1111-1-1-1-11-1
χ411111111111111111111-1-111-1-1-1-1-1-1-11-1-1-111-1-1-11-111-1-11
χ5111111111111111111-1-111-1-1111111-11-1-1-11-1111-11-1-1-1-11
χ6111111111111111111-1-111-1-111-1-1-1-11-1-1-11-1-11-1-1-1111-11-1
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111
χ911111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-111-111-1-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1111
χ1111111111111111-1-1-1-111-1-1-1-11111-1-11-1111-1-111-11-11-1-1-11
χ1211111111111111-1-1-1-111-1-1-1-111-1-111-1111-11-11-111-1-11-11-1
χ1311111111111111-1-1-1-1-1-11111-1-111-1-1-1111-111-11-1-111-1-11-1
χ1411111111111111-1-1-1-1-1-11111-1-1-1-1111-1111-11-1-11-11-11-1-11
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111
χ1611111111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-11-1-11-11-1-1
χ17222222-222-2-2-2-2200002200000022002000-2000-20-2000000
χ18222222-222-2-2-2-22000022000000-2-200-2000200020-2000000
χ19222222-222-2-2-2-220000-2-20000002200-20002000-202000000
χ20222222-222-2-2-2-220000-2-2000000-2-2002000-2000202000000
χ2122222-222-22-2-22-200000000002200220-200020-20-20000000
χ2222222-222-22-2-22-200000000002200-2-202000-20-2020000000
χ2322222-222-22-2-22-20000000000-2-2002202000-2020-20000000
χ2422222-222-22-2-22-20000000000-2-200-2-20-2000202020000000
χ252222-222-222-22-2-20000002222000000002-200-20000-200000
χ262222-222-222-22-2-200000022-2-200000000-220020000-200000
χ272222-222-222-22-2-2000000-2-22200000000-2200-20000200000
χ282222-222-222-22-2-2000000-2-2-2-2000000002-20020000200000
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
χ3344-4-4400-400000022-2-20000000022−2222−2200000000000000000
χ3444-4-4400-400000022-2-200000000−2222−222200000000000000000
χ3544-4-4400-4000000-2-2220000000022−22−222200000000000000000
χ3644-4-4400-4000000-2-22200000000−222222−2200000000000000000
χ374-44-40-4004000002i−2i2i−2i22−22002i2−2i200000000000000000000000
χ384-44-40-4004000002i−2i2i−2i−222200−2i22i200000000000000000000000
χ394-44-40-400400000−2i2i−2i2i22−2200−2i22i200000000000000000000000
χ404-44-40-400400000−2i2i−2i2i−2222002i2−2i200000000000000000000000
χ414-4-4400400-400002i−2i−2i2i0022−22002i2−2i2000000000000000000000
χ424-4-4400400-400002i−2i−2i2i00−222200−2i22i2000000000000000000000
χ434-4-4400400-40000−2i2i2i−2i0022−2200−2i22i2000000000000000000000
χ444-4-4400400-40000−2i2i2i−2i00−2222002i2−2i2000000000000000000000
χ4588-8-8-8008000000000000000000000000000000000000000
χ468-88-80800-800000000000000000000000000000000000000
χ478-8-8800-80080000000000000000000000000000000000000

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