Finite Group Databasebeta

← Group #178777

Character table — Group #178777

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442224444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-11-1-111-11-11-1-11-1-111111111-1-1-1-1-1-1
χ611111111111111111-1-11-1-111-11-11-1-11-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-11-1-11-1-1-1-1-111-1111111-1-1-1-11111-1-1
χ811111111111111111-1-11-1-11-1-1-1-1-111-111-1-1-1-11111-1-1-1-111
χ9111111111-1-111111-111-1-1-1-11-1-11-11-111-111-1-111-1-111-1-11-1
χ10111111111-1-111111-111-1-1-1-11-1-11-11-111-1-1-111-1-111-1-111-11
χ11111111111-1-111111-111-1-1-1-1-1-1111-11-1-1111-1-1-1-111-1-1111-1
χ12111111111-1-111111-111-1-1-1-1-1-1111-11-1-11-1-11111-1-111-1-1-11
χ13111111111-1-111111-1-1-1-111-111-1-1-1-111-1111-1-111-1-1-1-111-11
χ14111111111-1-111111-1-1-1-111-111-1-1-1-111-11-1-111-1-11111-1-11-1
χ15111111111-1-111111-1-1-1-111-1-111-111-1-11-111-1-1-1-11111-1-1-11
χ16111111111-1-111111-1-1-1-111-1-111-111-1-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2200-200-2000002-20-2200000000000000
χ1822222222222-2-2-22-2200-200-200000-2202-200000000000000
χ19222222222-2-2-2-2-22-2-200200200000220-2-200000000000000
χ20222222222-2-2-2-2-22-2-200200200000-2-202200000000000000
χ2122222222-2222-2-2-22-200200-22020-200-20000000000000000
χ2222222222-2222-2-2-22-200200-2-20-2020020000000000000000
χ2322222222-222-222-2-2-222-2-2-22020-200000000000000000000
χ2422222222-222-222-2-2-2-2-2-22220-20200000000000000000000
χ2522222222-2-2-22-2-2-22200-200220-20200-20000000000000000
χ2622222222-2-2-22-2-2-22200-2002-2020-20020000000000000000
χ2722222222-2-2-2-222-2-2222222-20-20-200000000000000000000
χ2822222222-2-2-2-222-2-22-2-22-2-2-2020200000000000000000000
χ29444-44-4-4-404-4000000000000000000000000002-22-2000000
χ30444-44-4-4-404-400000000000000000000000000-22-22000000
χ31444-44-4-4-40-44000000000000000000000000002-2-22000000
χ32444-44-4-4-40-4400000000000000000000000000-222-2000000
χ3344-44-44-4-400004-40000004-40000000000000000000000000
χ3444-44-44-4-400004-4000000-440000000000000000000000000
χ3544-44-44-4-40000-440004-40000000000000000000000000000
χ3644-44-44-4-40000-44000-440000000000000000000000000000
χ3744-4-4-4-4440004000-4000000000000000002i2−2i2000000000000
χ3844-4-4-4-4440004000-400000000000000000−2i22i2000000000000
χ3944-4-4-4-444000-40004000000000000000000022−220000000000
χ4044-4-4-4-444000-400040000000000000000000−22220000000000
χ414-4-4-4444-4400000-4000000000000000000000000002i2−2i20000
χ424-4-4-4444-4400000-400000000000000000000000000−2i22i20000
χ434-4-4-4444-4-4000004000000000000000000000000000022−2200
χ444-4-4-4444-4-40000040000000000000000000000000000−222200
χ458-888-8-88-8000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-888-8-88000000000000000000000000000000000000000

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