Finite Group Databasebeta

← Group #174875

Character table — Group #174875

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444222444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-111-1-11-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-11111-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1111111-111-1-111-1-1-11-1111-111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111-111-1-111-1-1-11-1-1-11-111-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1111111-111-1-1-1-111-1-1111-111-11-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1111111-111-1-1-1-111-1-11-1-1-111-1111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-11111-1-11-11111-1-1-11-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-11111-1-11-11-1-11-1-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-111-1-11111-111-11-11-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-11-11-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-2-20000222200000-2-200000000000000000
χ18222222222222-2-2-2-222-2-2-20000-2-2-2-2000002200000000000000000
χ192222222222-2-222-2-2-2-222-20000000002-200000-2200000000000000
χ202222222222-2-222-2-2-2-222-2000000000-22000002-200000000000000
χ212222222222-2-2-2-222-2-2-2-2222220000-2000000-20000000000000000
χ222222222222-2-2-2-222-2-2-2-22-2-2-2-20000200000020000000000000000
χ2322222222-2-2222222-2-2-2-2-222-2-200002000000-20000000000000000
χ2422222222-2-2222222-2-2-2-2-2-2-2220000-200000020000000000000000
χ2522222222-2-222-2-2-2-2-2-22220000000002200000-2-200000000000000
χ2622222222-2-222-2-2-2-2-2-2222000000000-2-2000002200000000000000
χ2722222222-2-2-2-222-2-222-2-22000022-2-200000-2200000000000000000
χ2822222222-2-2-2-222-2-222-2-220000-2-222000002-200000000000000000
χ29444-4-4-4-440000004-400000004i−4i0000000000000000000000000000
χ30444-4-4-4-440000004-40000000−4i4i0000000000000000000000000000
χ31444-4-4-4-44000000-44000004i−4i000000000000000000000000000000
χ32444-4-4-4-44000000-4400000−4i4i000000000000000000000000000000
χ3344-4-4-444-400000000004-40000000000000000000000000002i2−2i20000
χ3444-4-4-444-400000000004-4000000000000000000000000000−2i22i20000
χ3544-4-4-444-40000000000-4400000000000000000000000002i2−2i2000000
χ3644-4-4-444-40000000000-440000000000000000000000000−2i22i2000000
χ374-444-44-4-400004i−4i0000000000000000000000000002i−2i2-200000000
χ384-444-44-4-400004i−4i000000000000000000000000000−2i2i-2200000000
χ394-444-44-4-40000−4i4i0000000000000000000000000002i−2i-2200000000
χ404-444-44-4-40000−4i4i000000000000000000000000000−2i2i2-200000000
χ414-44-44-44-4004-4000000000000000000002i−2i000002i−2i000000000000
χ424-44-44-44-4004-400000000000000000000−2i2i00000−2i2i000000000000
χ434-44-44-44-400-44000000000000000000002i−2i00000−2i2i000000000000
χ444-44-44-44-400-4400000000000000000000−2i2i000002i−2i000000000000
χ454-4-44-4-4444-40000000000000000000000000000000000000002-22-2
χ464-4-44-4-4444-4000000000000000000000000000000000000000-22-22
χ474-4-44-4-444-440000000000000000000000000000000000000002-2-22
χ484-4-44-4-444-44000000000000000000000000000000000000000-222-2
χ494-4-4-444-44000000004-40000000004-4000000000000000000000000
χ504-4-4-444-44000000004-4000000000-44000000000000000000000000
χ514-4-4-444-4400000000-4400000004-400000000000000000000000000
χ524-4-4-444-4400000000-440000000-4400000000000000000000000000
χ5388-888-8-8-8000000000000000000000000000000000000000000000

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