Finite Group Databasebeta

← Group #179329

Character table — Group #179329

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444444442222444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-111-1-1-11-111-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11-111-1-1-11-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111-1-1-11-1-11-1-1-1111111-1-1-1-11111-1-1-1-1
χ81111111111111111111-1-1-11-1-11-1-1-11-1-11-1-11111-1-1-1-11111
χ911111111-1-1111111-1-1-11-1111-1-11-1-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1111111-1-1-11-1111-1-11-1-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-1111111-1-1-11-1-1-1-1111-11-1111-1-111-1-1-1-111-1-111
χ1211111111-1-1111111-1-1-11-1-1-1-1111-11-1-1-1111-1-11111-1-111-1-1
χ1311111111-1-1111111-1-1-1-111-11-11-11-1-1111-1-1-1-111-1-11111-1-1
χ1411111111-1-1111111-1-1-1-111-11-11-11-1-1-1-111111-1-111-1-1-1-111
χ1511111111-1-1111111-1-1-1-11-11-11-1-111111-1-1-1-1-11111-1-1-1-111
χ1611111111-1-1111111-1-1-1-11-11-11-1-1111-1-1-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-22-2-220020-2-20002000000000000000000
χ1822222222222-2-2-2-22-2-2200-2022000-2000000000000000000
χ192222222222-222-2-2-22-2-2000200-2000-200200000000000000
χ202222222222-222-2-2-22-2-2000-2002000200-200000000000000
χ212222222222-2-2-222-2-22-22-200000-220000000000000000000
χ222222222222-2-2-222-2-22-2-22000002-20000000000000000000
χ2322222222-2-22-2-2-2-2222-20020-22000-2000000000000000000
χ2422222222-2-22-2-2-2-2222-200-202-20002000000000000000000
χ2522222222-2-2-222-2-2-2-2220002002000-200-200000000000000
χ2622222222-2-2-222-2-2-2-222000-200-2000200200000000000000
χ2722222222-2-2-2-2-222-22-222200000-2-20000000000000000000
χ2822222222-2-2-2-2-222-22-22-2-200000220000000000000000000
χ29444-44-4-4-4000004-40000000000000000000000000000002i2−2i2
χ30444-44-4-4-4000004-4000000000000000000000000000000−2i22i2
χ31444-44-4-4-400000-4400000000000000000000000000002i2−2i200
χ32444-44-4-4-400000-440000000000000000000000000000−2i22i200
χ3344-44-44-4-40004-40000000000000000000000002i2−2i200000000
χ3444-44-44-4-40004-4000000000000000000000000−2i22i200000000
χ3544-44-44-4-4000-4400000000000000000000002i2−2i20000000000
χ3644-44-44-4-4000-440000000000000000000000−2i22i20000000000
χ374-444-4-44-44i−4i000000000000000000002-202i−2i000000000000
χ384-444-4-44-44i−4i00000000000000000000-220−2i2i000000000000
χ394-444-4-44-4−4i4i000000000000000000002-20−2i2i000000000000
χ404-444-4-44-4−4i4i00000000000000000000-2202i−2i000000000000
χ414-4-4-4444-40040000-400000000000000000000000002i2−2i20000
χ424-4-4-4444-40040000-40000000000000000000000000−2i22i20000
χ434-4-4-4444-400-4000040000000000000000000000022−22000000
χ444-4-4-4444-400-40000400000000000000000000000−2222000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-888-8-88000000000000000000000000000000000000000

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