Finite Group Databasebeta

← Group #485350

Character table — Group #485350

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222222222224444444444444444444424444444448888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-111-111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-111111-1-11-1-111-1-1-1-1
χ41111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1
χ611111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-111-1-1-11111-1-1
χ91111-1-1-1-11111-1-111-1-1-111-1-111-1-111-1-11111-11-1-11-11-11-11-1
χ101111-1-1-1-11111-1-111-1-1-111-1-111-1-111-1-111-1-111-111-1-11-11-11
χ111111-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-11-11
χ121111-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11111-1-11-111-11-111-11-1
χ131111-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-1111111-1-11-11-1-111-1-11
χ141111-1-1-1-11111-1-1-1-111-111-1-1-1-111-1-11111-1-11-1111-11-1-111-1
χ151111-1-1-1-11111-1-1-1-111-1-1-111-1-11111-1-11111-11-1-1-11-11-111-1
χ161111-1-1-1-11111-1-1-1-111-1-1-111-1-11111-1-111-1-111-11-111-11-1-11
χ172222222222222-22222-20000-2-2-2-20000-2-200000000000000
χ182222222222222-2-2-2-2-2-2000022220000-2-200000000000000
χ192222222222-2-2-220000-22222000000002-2000000-2-2000000
χ202222222222-2-2-220000-2-2-2-2-2000000002-200000022000000
χ212222222222-2-2-2-200002000000002222-22000-2-2000000000
χ222222222222-2-2-2-20000200000000-2-2-2-2-2200022000000000
χ232222-2-2-2-22222-2222-2-220000-2-2220000-2-200000000000000
χ242222-2-2-2-22222-22-2-2222000022-2-20000-2-200000000000000
χ252222-2-2-2-222-2-2220000-20000000022-2-2-22000-22000000000
χ262222-2-2-2-222-2-2220000-200000000-2-222-220002-2000000000
χ272222-2-2-2-222-2-22-20000222-2-2000000002-2000000-22000000
χ282222-2-2-2-222-2-22-200002-2-222000000002-20000002-2000000
χ29444444-4-4-4-4000000000000000000000002-2200-200000000
χ30444444-4-4-4-400000000000000000000000-22-200200000000
χ314444-4-444-4-4000000000000000000000002-2-200200000000
χ324444-4-444-4-400000000000000000000000-22200-200000000
χ3344-4-400004-44-400000000000004-400000000000000000000
χ3444-4-400004-44-40000000000000-4400000000000000000000
χ3544-4-400004-4-44000000000004-40000000000000000000000
χ3644-4-400004-4-4400000000000-440000000000000000000000
χ374-44-44-4000000002-22-202i−2i2i−2i00002i−2i2i−2i0000000000000000
χ384-44-44-4000000002-22-20−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ394-44-44-400000000-22-2202i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ404-44-44-400000000-22-220−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ414-44-4-44000000002-2-2202i−2i−2i2i00002i−2i−2i2i0000000000000000
χ424-44-4-44000000002-2-220−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ434-44-4-4400000000-222-202i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ444-44-4-4400000000-222-20−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ4588-8-80000-880000000000000000000000000000000000000
χ468-8-88008-8000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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