Finite Group Databasebeta

← Group #177918

Character table — Group #177918

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11-1-1-111-1-1111-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11-1-1-111-1-1-1-11-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-11-1-1-1-111-1-1-11-1-111111111-1-1-1-1
χ91111111111-1-1-1-11111-1-111-1-1111-11-11-111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-1-111-1-1111-11-11-1-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-11111-1-111-1-1-1-11-1-11-111111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-11111-1-111-1-1-1-11-1-11-11-1-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-11111-1-1-1-1111-1-111-1-1111-11-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-11111-1-1-1-1111-1-111-1-11-1-1-111111-1-1-1-11111-1-1
χ151111111111-1-1-1-11111-1-1-1-111-11-11-111-1111-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-11111-1-1-1-111-11-11-111-1-1-11-11111-1-111-1-1-1-111
χ17222222222-222-2-2-2-22-22-20000020000-22000-200000000000000
χ18222222222-222-2-2-2-22-22-200000-200002-2000200000000000000
χ19222222222-2-2-222-2-22-2-220000020000-2-2000200000000000000
χ20222222222-2-2-222-2-22-2-2200000-2000022000-200000000000000
χ2122222222-2222-2-2-2-2-22-2200002000-220000-2000000000000000
χ2222222222-2222-2-2-2-2-22-220000-20002-200002000000000000000
χ2322222222-22-2-222-2-2-222-200002000-2-200002000000000000000
χ2422222222-22-2-222-2-2-222-20000-2000220000-2000000000000000
χ2522222222-2-2222222-2-2-2-222-2-200-220000000000000000000000
χ2622222222-2-2222222-2-2-2-2-2-222002-20000000000000000000000
χ2722222222-2-2-2-2-2-222-2-222222200-2-20000000000000000000000
χ2822222222-2-2-2-2-2-222-2-222-2-2-2-200220000000000000000000000
χ29444-4-4-4-44004i−4i000000000000000000002i−2i002-2000000000000
χ30444-4-4-4-44004i−4i00000000000000000000−2i2i00-22000000000000
χ31444-4-4-4-4400−4i4i000000000000000000002i−2i00-22000000000000
χ32444-4-4-4-4400−4i4i00000000000000000000−2i2i002-2000000000000
χ3344-444-4-4-4040000000-4000000000000000000000000000022−2200
χ3444-444-4-4-4040000000-40000000000000000000000000000−222200
χ3544-444-4-4-40-4000000040000000000000000000000000000002i2−2i2
χ3644-444-4-4-40-400000004000000000000000000000000000000−2i22i2
χ374-444-44-4-440000000-4000000000000000000000000022−22000000
χ384-444-44-4-440000000-40000000000000000000000000−2222000000
χ394-444-44-4-4-4000000040000000000000000000000000002i2−2i20000
χ404-444-44-4-4-400000004000000000000000000000000000−2i22i20000
χ414-4-44-4-44400004-40000000000000000000000002-22-200000000
χ424-4-44-4-44400004-4000000000000000000000000-22-2200000000
χ434-4-44-4-4440000-440000000000000000000000002-2-2200000000
χ444-4-44-4-4440000-44000000000000000000000000-222-200000000
χ454-4-4-444-440000004-40000004-400000000000000000000000000
χ464-4-4-444-440000004-4000000-4400000000000000000000000000
χ474-4-4-444-44000000-4400004-40000000000000000000000000000
χ484-4-4-444-44000000-440000-440000000000000000000000000000
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-88-88-88-8000000000000000000000000000000000000000000

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