Finite Group Databasebeta

← Group #489352

Character table — Group #489352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size112224444444488888888888888816161616161616161616323232323232
order122442444888822224444488888824448888882416161616
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-111-1-1
χ4111111111111111-1-111-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ51111111111111-1-111-1-1111111111-1-1-1-1-1-11111-1-1-1-111
χ61111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ71111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ911111-1-11111111-11-11-11-1-1-1-1111111-1-11-11-1-1-1-111-11-1
χ1011111-1-11111111-11-11-11-1-1-1-1-1-1-1-111-1-11-11-1111-1-11-11
χ1111111-1-11111111-1-111-1-11-1-1-11111-1-1111-1-11-1-11-11-1-11
χ1211111-1-11111111-1-111-1-11-1-1-1-1-1-1-1-1-1111-1-1111-11-111-1
χ1311111-1-1111111-111-1-111-1-1-1-11111-1-111-111-1-1-11-1-111-1
χ1411111-1-1111111-111-1-111-1-1-1-1-1-1-1-1-1-111-111-111-111-1-11
χ1511111-1-1111111-11-11-11-11-1-1-1111111-1-1-11-11-1-1-11-11-11
χ1611111-1-1111111-11-11-11-11-1-1-1-1-1-1-111-1-1-11-11111-11-11-1
χ17222222222-2-2-2-2000000002-2-200002-22-2000000000000
χ18222222222-2-2-2-2000000002-2-20000-22-22000000000000
χ192222222-2-222-2-200220022-22-20000000000-2-200000000
χ202222222-2-222-2-200-2-200-2-2-22-200000000002200000000
χ212222222-2-2-2-22222002200-2-2200000000-2-20000000000
χ222222222-2-2-2-222-2-200-2-200-2-2200000000220000000000
χ2322222-2-222-2-2-2-200000000-22200002-2-22000000000000
χ2422222-2-222-2-2-2-200000000-2220000-222-2000000000000
χ2522222-2-2-2-222-2-2002-2002-22-220000000000-2200000000
χ2622222-2-2-2-222-2-200-2200-222-2200000000002-200000000
χ2722222-2-2-2-2-2-2222-2002-20022-200000000-220000000000
χ2822222-2-2-2-2-2-222-2200-220022-2000000002-20000000000
χ29444-4-44-40000000000000000022-2-2000000002-2000000
χ30444-4-44-400000000000000000-2-22200000000-22000000
χ31444-4-4-440000000000000000022-2-200000000-22000000
χ32444-4-4-4400000000000000000-2-222000000002-2000000
χ3344-44-40000004-404000-40000000000000000000000000
χ3444-44-40000004-40-400040000000000000000000000000
χ3544-44-4000000-444000-400000000000000000000000000
χ3644-44-4000000-44-4000400000000000000000000000000
χ3744-4-4400004-4000004000-400000000000000000000000
χ3844-4-4400004-400000-4000400000000000000000000000
χ3944-4-440000-4400004000-4000000000000000000000000
χ4044-4-440000-440000-40004000000000000000000000000
χ418-8000004-40000000000000002i2−2i22i2−2i20000000000000000
χ428-8000004-4000000000000000−2i22i2−2i22i20000000000000000
χ438-800000-440000000000000002i2−2i2−2i22i20000000000000000
χ448-800000-44000000000000000−2i22i22i2−2i20000000000000000

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