Finite Group Databasebeta

← Group #178595

Character table — Group #178595

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444222444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111-1-1-1-1-111-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-11-11-11-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-11-11-11-1-11-1-1-1-111111111-1-1
χ911111111-1-1111111-1-1-111-1-11-1111-1-11-1-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-111-1-11-1111-1-11-1-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-111-1-1-11-11-1-11-11111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-1-111-1-1-11-11-1-11-111-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1111-1-1-1-1111-1111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1111-1-1-1-1111-11-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-111-111-1-11-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-111-111-1-11-1-1-11111-1-111-1-1-11
χ17222222222222-2-2-2-22-2-200002-200000-22000000000000000
χ18222222222222-2-2-2-22-2-20000-22000002-2000000000000000
χ192222222222-2-222-2-2-2-2200000020-20-200200000000000000
χ202222222222-2-222-2-2-2-22000000-2020200-200000000000000
χ212222222222-2-2-2-222-22-222-2-2000-202000000000000000000
χ222222222222-2-2-2-222-22-2-2-22200020-2000000000000000000
χ2322222222-2-222-2-2-2-2-22200002200000-2-2000000000000000
χ2422222222-2-222-2-2-2-2-2220000-2-20000022000000000000000
χ2522222222-2-2-2-222-2-222-200000020-20200-200000000000000
χ2622222222-2-2-2-222-2-222-2000000-2020-200200000000000000
χ2722222222-2-2-2-2-2-2222-222222000-20-2000000000000000000
χ2822222222-2-2-2-2-2-2222-22-2-2-2-2000202000000000000000000
χ29444-44-4-4-4004-400000000000000000000000000000002i2−2i200
χ30444-44-4-4-4004-40000000000000000000000000000000−2i22i200
χ31444-44-4-4-400-44000000000000000000000000000002i2−2i20000
χ32444-44-4-4-400-4400000000000000000000000000000−2i22i20000
χ3344-44-44-4-44i−4i000000000000000000000002-22i−2i0000000000
χ3444-44-44-4-44i−4i00000000000000000000000-22−2i2i0000000000
χ3544-44-44-4-4−4i4i000000000000000000000002-2−2i2i0000000000
χ3644-44-44-4-4−4i4i00000000000000000000000-222i−2i0000000000
χ3744-4-4-4-4440000004-4000004-4000000000000000000000000
χ3844-4-4-4-4440000004-400000-44000000000000000000000000
χ3944-4-4-4-444000000-440004-400000000000000000000000000
χ4044-4-4-4-444000000-44000-4400000000000000000000000000
χ414-4-4-444-4400004-4000000000000000000000000022−22000000
χ424-4-4-444-4400004-40000000000000000000000000−2222000000
χ434-4-4-444-440000-440000000000000000000000022−2200000000
χ444-4-4-444-440000-4400000000000000000000000−222200000000
χ458-888-8-8-88000000000000000000000000000000000000000
χ468-88-8-888-8000000000000000000000000000000000000000
χ478-8-888-88-8000000000000000000000000000000000000000

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