Finite Group Databasebeta

← Group #485388

Character table — Group #485388

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222448888888888888888888881616161616161616323232323232
order12222222222222222444444444444444422244444448888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ61111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ91111-1-1-1-11111-111-1-1-1-111-1-111-1-111-1-1111-111-1-11-11-11-11-1
χ101111-1-1-1-11111-111-1-1-1-111-1-111-1-111-1-1111-1-1-1111-1-11-11-11
χ111111-1-1-1-11111-111-1-1-1-1-1-111-1-11111-1-111-1111-1-1-111-1-11-11
χ121111-1-1-1-11111-111-1-1-1-1-1-111-1-11111-1-111-11-1-111-11-111-11-1
χ131111-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-11111-1111-1-11-1-111-1-11
χ141111-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-11111-11-1-1111-11-1-111-1
χ151111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1-11-11-111-1
χ161111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-111111-1-1-111-111-11-1-11
χ1722222222222222222-2-200000000-2-2-2-2-2-200000000000000
χ182222222222222-2-2-2-2-2-2000000002222-2-200000000000000
χ192222222222-2-2-200002-20000222200002-2-2-2000000000000
χ202222222222-2-2-200002-20000-2-2-2-200002-222000000000000
χ212222222222-2-2-20000-22222200000000-22000000-2-2000000
χ222222222222-2-2-20000-22-2-2-2-200000000-2200000022000000
χ232222-2-2-2-22222-222-2-22200000000-2-222-2-200000000000000
χ242222-2-2-2-22222-2-2-222220000000022-2-2-2-200000000000000
χ252222-2-2-2-222-2-2200002-222-2-200000000-22000000-22000000
χ262222-2-2-2-222-2-2200002-2-2-22200000000-220000002-2000000
χ272222-2-2-2-222-2-220000-22000022-2-200002-2-22000000000000
χ282222-2-2-2-222-2-220000-220000-2-22200002-22-2000000000000
χ29444444-4-4-4-400000000000000000000000002-22-200000000
χ30444444-4-4-4-40000000000000000000000000-22-2200000000
χ314444-4-444-4-400000000000000000000000002-2-2200000000
χ324444-4-444-4-40000000000000000000000000-222-200000000
χ3344-4-400004-44-4000000000000000004i−4i0000000000000000
χ3444-4-400004-44-400000000000000000−4i4i0000000000000000
χ3544-4-400004-4-440000000000000004i−4i000000000000000000
χ3644-4-400004-4-44000000000000000−4i4i000000000000000000
χ374-4-44004-4000002-22-2002-22-22-22-200000000000000000000
χ384-4-44004-4000002-22-200-22-22-22-2200000000000000000000
χ394-4-44004-400000-22-22002-22-2-22-2200000000000000000000
χ404-4-44004-400000-22-2200-22-222-22-200000000000000000000
χ414-4-4400-44000002-2-22002-2-222-2-2200000000000000000000
χ424-4-4400-44000002-2-2200-222-2-222-200000000000000000000
χ434-4-4400-4400000-222-2002-2-22-222-200000000000000000000
χ444-4-4400-4400000-222-200-222-22-2-2200000000000000000000
χ4588-8-80000-880000000000000000000000000000000000000
χ468-88-88-800000000000000000000000000000000000000000
χ478-88-8-8800000000000000000000000000000000000000000

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