Finite Group Databasebeta

← Group #175388

Character table — Group #175388

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444224444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-11-1-11-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-111111-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1-1-1-11-111-11-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-111-1-1111111-111-1-1-1-1-1-1111-1-1111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1111111-111-1-1-1-1-1-1111-1-11-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1111111-1-1-111-1-1111-1-1-11-111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-111-1-1111111-1-1-111-1-1111-1-1-11-1-1-11111-1-1-1-11111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-111-1-111-11-1-1-111111-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-111-1-11111-1-1-111-1-111-11-1-1-1111-1-11111-1-111-1-1-1-111
χ1511111111-1-1-1-111-1-11111-1-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-111-1-11111-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-111-1-1
χ17222222222222-2-2-2-222-2-200-2000000020-220-200000000000000000
χ18222222222222-2-2-2-222-2-200-20000000-202-20200000000000000000
χ192222222222-2-22-2-2-2-2-22-200222-2-2002000000-20000000000000000
χ202222222222-2-22-2-2-2-2-22-2002-2-22200-200000020000000000000000
χ212222222222-2-2-2222-2-2-2222-20000-2-200-2002000000000000000000
χ222222222222-2-2-2222-2-2-22-2-2-200002200200-2000000000000000000
χ2322222222-2-2222-222-2-22-200-2222200-2000000-20000000000000000
χ2422222222-2-2222-222-2-22-200-2-2-2-2-200200000020000000000000000
χ2522222222-2-222-22-2-2-2-2-2222200002200-200-2000000000000000000
χ2622222222-2-222-22-2-2-2-2-22-2-220000-2-2002002000000000000000000
χ2722222222-2-2-2-2-2-22222-2-20020000000202-20-200000000000000000
χ2822222222-2-2-2-2-2-22222-2-20020000000-20-220200000000000000000
χ29444-44-4-4-4000000004-4000000000000000000000000000000022−2200
χ30444-44-4-4-4000000004-40000000000000000000000000000000−222200
χ31444-44-4-4-400000000-4400000000000000000000000000000000022−22
χ32444-44-4-4-400000000-44000000000000000000000000000000000−2222
χ3344-44-4-44-400000400000-44-40000000000000000000000000000000
χ3444-44-4-44-400000400000-4-440000000000000000000000000000000
χ3544-44-4-44-400000-400000400000004i−4i000000000000000000000000
χ3644-44-4-44-400000-40000040000000−4i4i000000000000000000000000
χ374-444-4-4-44004-4000000000000000000000000000002i−2i2i−2i00000000
χ384-444-4-4-44004-400000000000000000000000000000−2i2i−2i2i00000000
χ394-444-4-4-4400-44000000000000000000000000000002i−2i−2i2i00000000
χ404-444-4-4-4400-4400000000000000000000000000000−2i2i2i−2i00000000
χ414-44-4-444-40000004-40000000000000000000002i−2i2i−2i000000000000
χ424-44-4-444-40000004-4000000000000000000000−2i2i−2i2i000000000000
χ434-44-4-444-4000000-440000000000000000000002i−2i−2i2i000000000000
χ444-44-4-444-4000000-44000000000000000000000−2i2i2i−2i000000000000
χ454-4-4444-4-40000400000-400004-40000000000000000000000000000
χ464-4-4444-4-40000400000-40000-440000000000000000000000000000
χ474-4-4444-4-40000-40000040000004i−4i00000000000000000000000000
χ484-4-4444-4-40000-4000004000000−4i4i00000000000000000000000000
χ494-4-4-44-4444-4000000000000000000000000000000000002-22-20000
χ504-4-4-44-4444-400000000000000000000000000000000000-22-220000
χ514-4-4-44-444-44000000000000000000000000000000000002-2-220000
χ524-4-4-44-444-4400000000000000000000000000000000000-222-20000
χ5388-8-8-88-88000000000000000000000000000000000000000000000

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