Finite Group Databasebeta

← Group #179321

Character table — Group #179321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444442442224444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-1111-1-1-1-1-1111-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-1111-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-1-1-111-1-1111-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-1-1-1-111-1-11-1-1-11-1-1-1-1-1-111111111
χ911111111-1-1111111-1-1-11-111-1111-1-111-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-1111111-1-1-11-111-1111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1111111-1-1-11-1-1-11-1-11-111111-1-1-1-11111-1-1-1-111
χ1211111111-1-1111111-1-1-11-1-1-11-1-11-11-1-1111111-1-1-1-11111-1-1
χ1311111111-1-1111111-1-1-1-1111-1-1-1-11111-11-1-1-1-111-1-11111-1-1
χ1411111111-1-1111111-1-1-1-1111-1-1-1-111-1-1-111111-1-111-1-1-1-111
χ1511111111-1-1111111-1-1-1-11-1-1111-11-1111-1-1-111-1-1-1-111-1-111
χ1611111111-1-1111111-1-1-1-11-1-1111-11-1-1-11-111-1-11111-1-111-1-1
χ1722222222222-2-2-22-2-2-222200000-2-20000000000000000000
χ1822222222222-2-2-22-2-2-22-2-200000220000000000000000000
χ192222222222-22-2-2-22-22-2002-2-200000002000000000000000
χ202222222222-22-2-2-22-22-200-2220000000-2000000000000000
χ212222222222-2-222-2-22-2-2000002-2002000-200000000000000
χ222222222222-2-222-2-22-2-200000-2200-2000200000000000000
χ2322222222-2-22-2-2-22-222-22-200000-220000000000000000000
χ2422222222-2-22-2-2-22-222-2-22000002-20000000000000000000
χ2522222222-2-2-22-2-2-222-22002-220000000-2000000000000000
χ2622222222-2-2-22-2-2-222-2200-22-200000002000000000000000
χ2722222222-2-2-2-222-2-2-222000002-200-2000200000000000000
χ2822222222-2-2-2-222-2-2-22200000-22002000-200000000000000
χ29444-4-44-4-4004000-4000000000000000000000000000022−2200
χ30444-4-44-4-4004000-40000000000000000000000000000−222200
χ31444-4-44-4-400-400040000000000000000000000000000002i2−2i2
χ32444-4-44-4-400-40004000000000000000000000000000000−2i22i2
χ3344-4-4-4-4440004000-40000000000000000000002i2−2i200000000
χ3444-4-4-4-4440004000-4000000000000000000000−2i22i200000000
χ3544-4-4-4-444000-40004000000000000000000022−220000000000
χ3644-4-4-4-444000-400040000000000000000000−22220000000000
χ374-444-4-44-400004-40000000000000000000000000002i2−2i20000
χ384-444-4-44-400004-4000000000000000000000000000−2i22i20000
χ394-444-4-44-40000-4400000000000000000000000002i2−2i2000000
χ404-444-4-44-40000-440000000000000000000000000−2i22i2000000
χ414-4-44-44-444-400000000000000000002-2002-2000000000000
χ424-4-44-44-444-40000000000000000000-2200-22000000000000
χ434-4-44-44-44-4400000000000000000002-200-22000000000000
χ444-4-44-44-44-440000000000000000000-22002-2000000000000
χ4588-888-8-8-8000000000000000000000000000000000000000
χ468-88-88-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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