Finite Group Databasebeta

← Group #179089

Character table — Group #179089

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-11-111-1-111-1-1-11111-1-1-1-11111-1-1
χ611111111111111111-1-11-1-11-111-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-11-1-11-1-1-111-1-11-111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-11-1-11-1-1-111-1-11-11-1-1-1-111111111-1-1
χ91111111111-1-11111-111-1-1-1-1-11-11-11-111-111-1-111-1-111-1-11-1
χ101111111111-1-11111-111-1-1-1-1-11-11-11-111-1-1-111-1-111-1-111-11
χ111111111111-1-11111-111-1-1-1-1-1-11-11-11-11111-1-111-1-1-1-111-11
χ121111111111-1-11111-111-1-1-1-1-1-11-11-11-111-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-111-111-1-111-1-1-1111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-111-111-1-111-1-1-11-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-111-11-111-1-111-1-111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-111-11-111-1-111-1-1-1-11111-1-111-1-1-11
χ17222222222-222-2-22-2222-2-2-2-220000000-2000000000000000
χ18222222222-222-2-22-22-2-2-222-2-200000002000000000000000
χ19222222222-2-2-2-2-22-2-2222222-20000000-2000000000000000
χ20222222222-2-2-2-2-22-2-2-2-22-2-22200000002000000000000000
χ2122222222-2222-2-2-22-200-200202-200-2200000000000000000
χ2222222222-2222-2-2-22-200-20020-22002-200000000000000000
χ2322222222-22-2-2-2-2-22200200-202200-2-200000000000000000
χ2422222222-22-2-2-2-2-22200200-20-2-2002200000000000000000
χ2522222222-2-22222-2-2-200200-20002-200-20200000000000000
χ2622222222-2-22222-2-2-200200-2000-220020-200000000000000
χ2722222222-2-2-2-222-2-2200-20020002200-20-200000000000000
χ2822222222-2-2-2-222-2-2200-2002000-2-20020200000000000000
χ29444-4-44-4-40400000-400000000000000000000000000022−2200
χ30444-4-44-4-40400000-4000000000000000000000000000−222200
χ31444-4-44-4-40-400000400000000000000000000000002i2−2i20000
χ32444-4-44-4-40-40000040000000000000000000000000−2i22i20000
χ3344-44-4-44-4400000-4004-40000000000000000000000000000
χ3444-44-4-44-4400000-400-440000000000000000000000000000
χ3544-44-4-44-4-4000004000004i−4i0000000000000000000000000
χ3644-44-4-44-4-400000400000−4i4i0000000000000000000000000
χ3744-4-44-4-44004i−4i0000000000000000000002-22i−2i0000000000
χ3844-4-44-4-44004i−4i000000000000000000000-22−2i2i0000000000
χ3944-4-44-4-4400−4i4i0000000000000000000002-2−2i2i0000000000
χ4044-4-44-4-4400−4i4i000000000000000000000-222i−2i0000000000
χ414-444-4-4-4400004-400000000000000000000000002i2−2i2000000
χ424-444-4-4-4400004-40000000000000000000000000−2i22i2000000
χ434-444-4-4-440000-44000000000000000000000002i2−2i200000000
χ444-444-4-4-440000-4400000000000000000000000−2i22i200000000
χ458-88-88-88-8000000000000000000000000000000000000000
χ468-8-8888-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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