Finite Group Databasebeta

← Group #178839

Character table — Group #178839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-11-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11-1-111-11-11-1-1-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ8111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ91111111111-1-11111-1-111-1-1-1111-1-1-11-11-111-1-111-1-111-1-11-1
χ101111111111-1-11111-1-111-1-1-1111-1-1-11-11-1-1-111-1-111-1-111-11
χ111111111111-1-11111-1-111-1-1-1-1-111-11-11-1111-1-1-1-111-1-1111-1
χ121111111111-1-11111-1-111-1-1-1-1-111-11-11-11-1-11111-1-111-1-1-11
χ131111111111-1-11111-1-1-1-1-11111-1-11-1-11-1111-1-111-1-1-1-111-11
χ141111111111-1-11111-1-1-1-1-11111-1-11-1-11-11-1-111-1-11111-1-11-1
χ151111111111-1-11111-1-1-1-1-111-1-1-11111-11-111-1-1-1-11111-1-1-11
χ161111111111-1-11111-1-1-1-1-111-1-1-11111-11-1-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-2-2-2002002-2020-2000000000000000000
χ18222222222-222-2-22-2-2-200200-220-202000000000000000000
χ19222222222-2-2-2-2-22-22200-2002-20-202000000000000000000
χ20222222222-2-2-2-2-22-22200-200-22020-2000000000000000000
χ2122222222-2222-2-2-222-200-2000000002-2-2200000000000000
χ2222222222-2222-2-2-222-200-200000000-222-200000000000000
χ2322222222-22-2-2-2-2-22-220020000000022-2-200000000000000
χ2422222222-22-2-2-2-2-22-2200200000000-2-22200000000000000
χ2522222222-2-22222-2-2-2222-2-2-200-2020000000000000000000
χ2622222222-2-22222-2-2-22-2-2-2220020-20000000000000000000
χ2722222222-2-2-2-222-2-22-22222200-20-20000000000000000000
χ2822222222-2-2-2-222-2-22-2-2-22-2-2002020000000000000000000
χ29444-4-44-4-40400000-4000000000000000000000000022−220000
χ30444-4-44-4-40400000-40000000000000000000000000−22220000
χ31444-4-44-4-40-40000040000000000000000000000000002i2−2i200
χ32444-4-44-4-40-4000004000000000000000000000000000−2i22i200
χ3344-444-4-4-4400000-400000000000000000022−22000000000000
χ3444-444-4-4-4400000-4000000000000000000−2222000000000000
χ3544-444-4-4-4-4000004000000000000000000002i2−2i20000000000
χ3644-444-4-4-4-400000400000000000000000000−2i22i20000000000
χ374-444-4-44-400004-400000004i−4i000000000000000000000000
χ384-444-4-44-400004-40000000−4i4i000000000000000000000000
χ394-444-4-44-40000-4400004i−4i000000000000000000000000000
χ404-444-4-44-40000-440000−4i4i000000000000000000000000000
χ414-4-44-44-44004-400000000000000000000000002-22-2000000
χ424-4-44-44-44004-40000000000000000000000000-22-22000000
χ434-4-44-44-4400-4400000000000000000000000002-2-22000000
χ444-4-44-44-4400-440000000000000000000000000-222-2000000
χ4588-8-8-8-888000000000000000000000000000000000000000
χ468-88-88-8-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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