Finite Group Databasebeta

← Group #328385

Character table — Group #328385

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222244444444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-11-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-11-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-11-111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111
χ911111111111111-1-1-1-111-1-111-1-1-11-11-111-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-111-1-111-1-1-11-11-111-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-111-1-11-1-111-111-1-1-1111-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-111-1-11-1-111-111-1-1-11-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-1-111-1-1-11-111-1111-1-1-1-111-1-11111-1-1
χ1411111111111111-1-1-1-111-1-1-111-1-1-11-111-11-1-11111-1-111-1-1-1-111
χ1511111111111111-1-1-1-111-1-1-1-11111-1-11-11-111-1-111-1-1-1-111-1-111
χ1611111111111111-1-1-1-111-1-1-1-11111-1-11-11-1-1-111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-22-20000022000-2-20000000000000000
χ18222222222222-2-222-2-2-2-22-200000-2-2000220000000000000000
χ19222222222222-2-2-2-222-2-2-22000002-2000-220000000000000000
χ20222222222222-2-2-2-222-2-2-2200000-220002-20000000000000000
χ2122222222-2-2-2-22-222222-2-2-20202-20000-2000000000000000000
χ2222222222-2-2-2-22-222222-2-2-20-20-2200002000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-222020-220000-2000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-2220-202-200002000000000000000000
χ2522222222-2-2-2-2-2222-2-2-22-222020000-2-20000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-22-20-20000220000000000000000000
χ2722222222-2-2-2-2-22-2-222-222-220-20000-220000000000000000000
χ2822222222-2-2-2-2-22-2-222-222-2-20200002-20000000000000000000
χ29444-4-4-4-440000004-400000000000000000000002i−2i2i−2i00000000
χ30444-4-4-4-440000004-40000000000000000000000−2i2i−2i2i00000000
χ31444-4-4-4-44000000-4400000000000000000000002i−2i−2i2i00000000
χ32444-4-4-4-44000000-440000000000000000000000−2i2i2i−2i00000000
χ3344-4-4-444-44-44-4000000000000000000000000000000002i2−2i20000
χ3444-4-4-444-44-44-400000000000000000000000000000000−2i22i20000
χ3544-4-4-444-4-44-440000000000000000000000000000002i2−2i2000000
χ3644-4-4-444-4-44-44000000000000000000000000000000−2i22i2000000
χ374-444-44-4-4000000004-400000000000000002i−2i2i−2i000000000000
χ384-444-44-4-4000000004-40000000000000000−2i2i−2i2i000000000000
χ394-444-44-4-400000000-4400000000000000002i−2i−2i2i000000000000
χ404-444-44-4-400000000-440000000000000000−2i2i2i−2i000000000000
χ414-44-44-44-44-4-4400000000000000000000000000000000002i2−2i200
χ424-44-44-44-44-4-440000000000000000000000000000000000−2i22i200
χ434-44-44-44-4-444-40000000000000000000000000000000000002i2−2i2
χ444-44-44-44-4-444-4000000000000000000000000000000000000−2i22i2
χ454-4-44-4-44444-4-4440000-4-4000000000000000000000000000000
χ464-4-44-4-44444-4-4-4-4000044000000000000000000000000000000
χ474-4-44-4-444-4-4444-40000-44000000000000000000000000000000
χ484-4-44-4-444-4-444-4400004-4000000000000000000000000000000
χ4988-888-8-8-8000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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