Finite Group Databasebeta

← Group #179451

Character table — Group #179451

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444488888888244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-11-11-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-11-11-11-1-1-1-11-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-111111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111
χ911111111-1-1-1-1-1-1111111-11111-1-1-1-111-1-1-11-11-111-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111-11111-1-1-1-11-1-11-1-11-111-11-1-11111-1-1-1-111
χ1111111111-1-1-1-1-1-1111111-11111-1-1-1-1-111-111-1-11-1-11-1-111-1-11111-1-1
χ1211111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-1111-111-1-11-111-1-1-1-111-1-111
χ1311111111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-11-11-111-1-1-111-1-111-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-111111-1-11-1-11-111-1111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-11111-111-111-1-11-1-1111-1-111-1-1-1-111
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-11111-1-1111-111-1-11-1-1-11111-1-111-1-1
χ17222222222222-2-2-2-222-2-2-2000000002020-20000-200000000000000
χ18222222222222-2-2-2-222-2-2-200000000-20-2020000200000000000000
χ192222222222-2-222-2-2-2-222-20000000002020-2-200000000000000000
χ202222222222-2-222-2-2-2-222-2000000000-20-202200000000000000000
χ212222222222-2-2-2-222-2-2-2-220000000000000002-20-22000000000000
χ222222222222-2-2-2-222-2-2-2-22000000000000000-2202-2000000000000
χ2322222222-2-2222222-2-2-2-2-2000000000000000220-2-2000000000000
χ2422222222-2-2222222-2-2-2-2-2000000000000000-2-2022000000000000
χ2522222222-2-222-2-2-2-2-2-222200000000020-20-2200000000000000000
χ2622222222-2-222-2-2-2-2-2-2222000000000-20202-200000000000000000
χ2722222222-2-2-2-222-2-222-2-220000000020-2020000-200000000000000
χ2822222222-2-2-2-222-2-222-2-2200000000-2020-20000200000000000000
χ29444-4-44-4-4000000004-400000002222−22−22000000000000000000000000
χ30444-4-44-4-4000000004-40000000−22−222222000000000000000000000000
χ31444-4-44-4-400000000-440002222−22−220000000000000000000000000000
χ32444-4-44-4-400000000-44000−22−2222220000000000000000000000000000
χ3344-44-4-4-440000004-400000000000000000000000000000002i2−2i20000
χ3444-44-4-4-440000004-40000000000000000000000000000000−2i22i20000
χ3544-44-4-4-44000000-44000000000000000000000000000002i2−2i2000000
χ3644-44-4-4-44000000-4400000000000000000000000000000−2i22i2000000
χ374-4444-4-4-44-4000000000002-22-22-22-2000000000000000000000000
χ384-4444-4-4-44-400000000000-22-22-22-22000000000000000000000000
χ394-4444-4-4-4-44000000000002-22-2-22-22000000000000000000000000
χ404-4444-4-4-4-4400000000000-22-222-22-2000000000000000000000000
χ414-44-4-4-44400000000004-40000022−22−2222000000000000000000000000
χ424-44-4-4-44400000000004-400000−222222−22000000000000000000000000
χ434-44-4-4-4440000000000-44022−22−22220000000000000000000000000000
χ444-44-4-4-4440000000000-440−222222−220000000000000000000000000000
χ454-4-44-444-400004-40000000000000000000000000002i−2i2i−2i00000000
χ464-4-44-444-400004-4000000000000000000000000000−2i2i−2i2i00000000
χ474-4-44-444-40000-440000000000000000000000000002i−2i−2i2i00000000
χ484-4-44-444-40000-44000000000000000000000000000−2i2i2i−2i00000000
χ494-4-4-444-44004-400000000000000000000000000000000000002-22-2
χ504-4-4-444-44004-40000000000000000000000000000000000000-22-22
χ514-4-4-444-4400-4400000000000000000000000000000000000002-2-22
χ524-4-4-444-4400-440000000000000000000000000000000000000-222-2
χ5388-8-88-88-8000000000000000000000000000000000000000000000

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