Finite Group Databasebeta

← Group #177715

Character table — Group #177715

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-11-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-111-1-1-1-111-1-111111-1-1-1-11111-1-1
χ611111111111111111-1-11-1-111-1-1-1-111-1-11-1-1-1-11111-1-1-1-111
χ711111111111111111-1-11-1-11-1-111-1-1-111-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-11-1-11-1-111-1-1-111-1-1-1-1-111111111-1-1
χ9111111111-1-111111-111-1-1-1-1111-1-11-11-1-111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-1-1-1-1111-1-11-11-1-1-1-111-1-111-1-111-11
χ11111111111-1-111111-111-1-1-1-1-11-11-1-11-11111-1-111-1-1-1-111-11
χ12111111111-1-111111-111-1-1-1-1-11-11-1-11-111-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-111-11-1-1111-1-11-111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-111-11-1-1111-1-11-1-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-111-1-1-11-11-111-1111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-111-1-1-11-11-111-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-222-22220-200-20000000000000000000
χ1822222222222-2-2-2-22-2-2-2-2-2-22020020000000000000000000
χ19222222222-2-2-2-2-2-222222-2-2-20-20020000000000000000000
χ20222222222-2-2-2-2-2-222-2-2222-20200-20000000000000000000
χ2122222222-22222-2-2-2-200200-220000-2-200200000000000000
χ2222222222-22222-2-2-2-200200-2-200002200-200000000000000
χ2322222222-222-2-222-2200-200-20022000-2-2000000000000000
χ2422222222-222-2-222-2200-200-200-2-200022000000000000000
χ2522222222-2-2-222-2-2-2200-200220000-2200-200000000000000
χ2622222222-2-2-222-2-2-2200-2002-200002-200200000000000000
χ2722222222-2-2-2-2-222-2-2002002002-2000-22000000000000000
χ2822222222-2-2-2-2-222-2-200200200-220002-2000000000000000
χ29444-4-44-4-44000000-404-40000000000000000000000000000
χ30444-4-44-4-44000000-40-440000000000000000000000000000
χ31444-4-44-4-4-4000000400004i−4i0000000000000000000000000
χ32444-4-44-4-4-400000040000−4i4i0000000000000000000000000
χ3344-44-4-4-4404-40000000000000000000000000000002i−2i2i−2i00
χ3444-44-4-4-4404-4000000000000000000000000000000−2i2i−2i2i00
χ3544-44-4-4-440-440000000000000000000000000000002i−2i−2i2i00
χ3644-44-4-4-440-44000000000000000000000000000000−2i2i2i−2i00
χ374-44-44-4-440004-400000000000000000000002i2−2i20000000000
χ384-44-44-4-440004-40000000000000000000000−2i22i20000000000
χ394-44-44-4-44000-44000000000000000000002i2−2i2000000000000
χ404-44-44-4-44000-4400000000000000000000−2i22i2000000000000
χ414-4-4-4-4444000004-400000000000000000000000022−22000000
χ424-4-4-4-4444000004-4000000000000000000000000−2222000000
χ434-4-4-4-444400000-44000000000000000000000022−2200000000
χ444-4-4-4-444400000-440000000000000000000000−222200000000
χ4588-8-88-88-8000000000000000000000000000000000000000
χ468-888-8-88-8000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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