Finite Group Databasebeta

← Group #178962

Character table — Group #178962

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-1-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-111-1-11-1-1-11-11111-1-1-1-1-1-1-1-111
χ611111111111111111-1-111-1-111-1-11-1-1-11-1-1-1-1-111111111-1-1
χ711111111111111111-1-111-1-1-1-11-1-111-1-111111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-1-11-1-111-1-11-1-1-1-11111-1-1-1-111
χ91111111111-1-11111-111-1-1-1-11-1-11-11-1-11111-1-111-1-111-1-11-1
χ101111111111-1-11111-111-1-1-1-11-1-11-11-1-111-1-111-1-111-1-111-11
χ111111111111-1-11111-111-1-1-1-1-11111-11-1-1-111-1-111-1-1-1-111-11
χ121111111111-1-11111-111-1-1-1-1-11111-11-1-1-1-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-1-1111-11-1-1-1111-111-1-1-1-111-1-1111-1
χ141111111111-1-11111-1-1-1-1-1111-11-1-1-1111-1-1-11111-1-111-1-1-11
χ151111111111-1-11111-1-1-1-1-111-11-1-111-11-1111-1-1-1-11111-1-1-11
χ161111111111-1-11111-1-1-1-1-111-11-1-111-11-11-1-11111-1-1-1-1111-1
χ17222222222-222-2-22-2222-2-2-2-2000-200020000000000000000
χ18222222222-222-2-22-22-2-2-2-2220002000-20000000000000000
χ19222222222-2-2-2-2-22-2-2222222000-2000-20000000000000000
χ20222222222-2-2-2-2-22-2-2-2-222-2-2000200020000000000000000
χ2122222222-2222-2-2-22-2002-200002002-200-200000000000000
χ2222222222-2222-2-2-22-2002-20000-200-2200200000000000000
χ2322222222-22-2-2-2-2-22200-220000200-2-200200000000000000
χ2422222222-22-2-2-2-2-22200-220000-2002200-200000000000000
χ2522222222-2-22222-2-2-200-22002200-2000-2000000000000000
χ2622222222-2-22222-2-2-200-2200-2-20020002000000000000000
χ2722222222-2-2-2-222-2-22002-2002-2002000-2000000000000000
χ2822222222-2-2-2-222-2-22002-200-2200-20002000000000000000
χ29444-44-4-4-400004-40000000000000000000000022−2200000000
χ30444-44-4-4-400004-400000000000000000000000−222200000000
χ31444-44-4-4-40000-44000000000000000000000000022−22000000
χ32444-44-4-4-40000-440000000000000000000000000−2222000000
χ3344-4-4-44-440400000-40000000000000000000000000002i2−2i200
χ3444-4-4-44-440400000-4000000000000000000000000000−2i22i200
χ3544-4-4-44-440-4000004000000000000000000000000022−220000
χ3644-4-4-44-440-40000040000000000000000000000000−22220000
χ374-44-4-4-444400000-40000004i−4i000000000000000000000000
χ384-44-4-4-444400000-4000000−4i4i000000000000000000000000
χ394-44-4-4-444-4000004004-40000000000000000000000000000
χ404-44-4-4-444-400000400-440000000000000000000000000000
χ414-4-444-4-44004i−4i0000000000000000000002i−2i2-20000000000
χ424-4-444-4-44004i−4i000000000000000000000−2i2i-220000000000
χ434-4-444-4-4400−4i4i0000000000000000000002i−2i-220000000000
χ444-4-444-4-4400−4i4i000000000000000000000−2i2i2-20000000000
χ4588-88-8-88-8000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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