Finite Group Databasebeta

← Group #179450

Character table — Group #179450

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-1-11-1-11-1-11-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111-1-1-1-1-1-111-111-11111-1-1-1-1-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11-1-1111111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111111111
χ911111111-1-1-1-1-1-1111111-11111-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-1-1-111-111-1-11111-1-1-1-111
χ1111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-11111-11-1-11-1-1-111-1-11111-1-1
χ1211111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-111-11-111-1111-1-1-1-111-1-111
χ1311111111-1-1-1-1-1-1111111-1-1-1-1-11111111-1-111-1-11-1-1-1-111-1-111-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-111-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-11111-11-1-11-111-1-111-1-1-1-111
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-111-11-111-11-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-2-20000000000200-200200-2000000000000
χ18222222222222-2-222-2-2-2-2-20000000000-200200-2002000000000000
χ192222222222-2-222-2-2-2-222-2000000002-202-20000000000000000000
χ202222222222-2-222-2-2-2-222-200000000-220-220000000000000000000
χ212222222222-2-2-2-2-2-222-2-22000000000000002-20-220000000000000
χ222222222222-2-2-2-2-2-222-2-2200000000000000-2202-20000000000000
χ2322222222-2-22222-2-222-2-2-200000000000000220-2-20000000000000
χ2422222222-2-22222-2-222-2-2-200000000000000-2-20220000000000000
χ2522222222-2-222-2-2-2-2-2-2222000000002-20-220000000000000000000
χ2622222222-2-222-2-2-2-2-2-222200000000-2202-20000000000000000000
χ2722222222-2-2-2-22222-2-2-2-220000000000200-200-2002000000000000
χ2822222222-2-2-2-22222-2-2-2-220000000000-200200200-2000000000000
χ29444-44-4-4-4004-40000000000000000000000000000000002-22-20000
χ30444-44-4-4-4004-4000000000000000000000000000000000-22-220000
χ31444-44-4-4-400-440000000000000000000000000000000002-2-220000
χ32444-44-4-4-400-44000000000000000000000000000000000-222-20000
χ3344-4-4-44-444-4000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3444-4-4-44-444-400000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3544-4-4-44-44-44000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ3644-4-4-44-44-4400000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ374-444-4-4-440000004-40000000002i2−2i22i2−2i2000000000000000000000000
χ384-444-4-4-440000004-4000000000−2i22i2−2i22i2000000000000000000000000
χ394-444-4-4-44000000-44000002i2−2i22i2−2i20000000000000000000000000000
χ404-444-4-4-44000000-4400000−2i22i2−2i22i20000000000000000000000000000
χ414-44-4-444-400004-40000000000000000000000000002i−2i2i−2i00000000
χ424-44-4-444-400004-4000000000000000000000000000−2i2i−2i2i00000000
χ434-44-4-444-40000-440000000000000000000000000002i−2i−2i2i00000000
χ444-44-4-444-40000-44000000000000000000000000000−2i2i2i−2i00000000
χ454-4-4444-4-4000000004-40000000000000000000000000000000002i2−2i2
χ464-4-4444-4-4000000004-4000000000000000000000000000000000−2i22i2
χ474-4-4444-4-400000000-4400000000000000000000000000000002i2−2i200
χ484-4-4444-4-400000000-440000000000000000000000000000000−2i22i200
χ494-4-4-44-44400000000004-40000022−22−2222000000000000000000000000
χ504-4-4-44-44400000000004-400000−222222−22000000000000000000000000
χ514-4-4-44-4440000000000-44022−22−22220000000000000000000000000000
χ524-4-4-44-4440000000000-440−222222−220000000000000000000000000000
χ5388-88-8-88-8000000000000000000000000000000000000000000000

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