Finite Group Databasebeta

← Group #179073

Character table — Group #179073

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442224444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-1-11-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-11-1-111-11-11-1-11-1-11111-1-1-1-11111-1-1
χ611111111111111111-1-11-1-111-11-11-1-11-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111-1-11-1-11-11-1-1-11-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111-1-11-1-11-11-1-1-11-1-111-1-1-1-111111111-1-1
χ91111111111-1-11111-111-1-1-1-111-11-1-1-111-111-1-111-1-111-1-11-1
χ101111111111-1-11111-111-1-1-1-111-11-1-1-111-1-1-111-1-111-1-111-11
χ111111111111-1-11111-111-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-111-11
χ121111111111-1-11111-111-1-1-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1
χ131111111111-1-11111-1-1-1-111-11-1-1-1-1111-1111-1-1-1-11111-1-1-11
χ141111111111-1-11111-1-1-1-111-11-1-1-1-1111-11-1-11111-1-1-1-1111-1
χ151111111111-1-11111-1-1-1-111-1-111-11-11-11-111-1-1-1-111-1-1111-1
χ161111111111-1-11111-1-1-1-111-1-111-11-11-11-1-1-11111-1-111-1-1-11
χ17222222222-222-2-22-2-200-20022020-200-20000000000000000
χ18222222222-222-2-22-2-200-2002-20-2020020000000000000000
χ19222222222-2-2-2-2-22-2200200-220-20200-20000000000000000
χ20222222222-2-2-2-2-22-2200200-2-2020-20020000000000000000
χ2122222222-2222-2-2-22222-2-2-2-2000-200200000000000000000
χ2222222222-2222-2-2-222-2-2-222-2000200-200000000000000000
χ2322222222-22-2-2-2-2-22-2222222000-200-200000000000000000
χ2422222222-22-2-2-2-2-22-2-2-22-2-22000200200000000000000000
χ2522222222-2-22222-2-2-200200-202000-200-2200000000000000
χ2622222222-2-22222-2-2-200200-20-20002002-200000000000000
χ2722222222-2-2-2-222-2-2200-200202000200-2-200000000000000
χ2822222222-2-2-2-222-2-2200-20020-2000-2002200000000000000
χ29444-4-4-44-40400000-404-40000000000000000000000000000
χ30444-4-4-44-40400000-40-440000000000000000000000000000
χ31444-4-4-44-40-400000400004i−4i0000000000000000000000000
χ32444-4-4-44-40-40000040000−4i4i0000000000000000000000000
χ3344-444-4-4-4400000-40000000000000000000000000022−220000
χ3444-444-4-4-4400000-400000000000000000000000000−22220000
χ3544-444-4-4-4-400000400000000000000000000000000002i2−2i200
χ3644-444-4-4-4-40000040000000000000000000000000000−2i22i200
χ3744-4-4-44-44004i−4i0000000000000000000002-22i−2i0000000000
χ3844-4-4-44-44004i−4i000000000000000000000-22−2i2i0000000000
χ3944-4-4-44-4400−4i4i0000000000000000000002-2−2i2i0000000000
χ4044-4-4-44-4400−4i4i000000000000000000000-222i−2i0000000000
χ414-44-44-4-4400004-400000000000000000000000002i2−2i2000000
χ424-44-44-4-4400004-40000000000000000000000000−2i22i2000000
χ434-44-44-4-440000-44000000000000000000000002i2−2i200000000
χ444-44-44-4-440000-4400000000000000000000000−2i22i200000000
χ458-888-88-8-8000000000000000000000000000000000000000
χ468-8-88-8-888000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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