Finite Group Databasebeta

← Group #179304

Character table — Group #179304

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444442442244444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-11-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-11-11-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-11-11-1-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-1111111-1-1-11-1111-11-1-1-11-111-1-111-1-111-1-111-1-1
χ1011111111-1-1111111-1-1-11-1111-11-1-1-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-1111111-1-1-11-1-1-1-111-111-1111-1-1-1-11111-1-1-1-111
χ1211111111-1-1111111-1-1-11-1-1-1-111-111-11-1-11111-1-1-1-11111-1-1
χ1311111111-1-1111111-1-1-1-111-111-11-1-1-1111-1-111-1-1-1-111-1-111
χ1411111111-1-1111111-1-1-1-111-111-11-1-1-11-1-111-1-11111-1-111-1-1
χ1511111111-1-1111111-1-1-1-11-11-1-1-11111-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1111111-1-1-1-11-11-1-1-11111-1-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-22-2-22-200020-20000-220000000000000000
χ1822222222222-2-2-22-2-22-2000-20200002-20000000000000000
χ192222222222-22-2-2-22-2-22220000-2-200000000000000000000
χ202222222222-22-2-2-22-2-22-2-200002200000000000000000000
χ212222222222-2-222-2-22-2-20020-20002-2000000000000000000
χ222222222222-2-222-2-22-2-200-202000-22000000000000000000
χ2322222222-2-22-2-2-22-22-220002020000-2-20000000000000000
χ2422222222-2-22-2-2-22-22-22000-20-20000220000000000000000
χ2522222222-2-2-22-2-2-2222-22-20000-2200000000000000000000
χ2622222222-2-2-22-2-2-2222-2-2200002-200000000000000000000
χ2722222222-2-2-2-222-2-2-2220020-2000-22000000000000000000
χ2822222222-2-2-2-222-2-2-22200-2020002-2000000000000000000
χ29444-4-44-4-40004000-400000000000000000000000000022−2200
χ30444-4-44-4-40004000-4000000000000000000000000000−222200
χ31444-4-44-4-4000-40004000000000000000000000000000002i2−2i2
χ32444-4-44-4-4000-4000400000000000000000000000000000−2i22i2
χ3344-4-44-44-400004-400000000000000000000000002i2−2i2000000
χ3444-4-44-44-400004-40000000000000000000000000−2i22i2000000
χ3544-4-44-44-40000-440000000000000000000000000002i2−2i20000
χ3644-4-44-44-40000-44000000000000000000000000000−2i22i20000
χ374-44-4-4-444004000-400000000000000000000002i2−2i200000000
χ384-44-4-4-444004000-40000000000000000000000−2i22i200000000
χ394-44-4-4-44400-400040000000000000000000022−220000000000
χ404-44-4-4-44400-4000400000000000000000000−22220000000000
χ414-4-4-444-444-40000000000000000000002-22-2000000000000
χ424-4-4-444-444-4000000000000000000000-22-22000000000000
χ434-4-4-444-44-440000000000000000000002-2-22000000000000
χ444-4-4-444-44-44000000000000000000000-222-2000000000000
χ4588-88-8-8-88000000000000000000000000000000000000000
χ468-8888-8-8-8000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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