Finite Group Databasebeta

← Group #179205

Character table — Group #179205

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-1-11-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-11-1-11-1-11-1-111111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-11-1-11-1-11-1-11-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-11-1-111-11-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-11-1-111-11-1-1-1-1-1-111111111-1-1
χ911111111-1-1111111-111-1-1-1-1111-11-11-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-111-1-1-1-1111-11-11-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-111-1-1-1-1-1-111-11-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1111111-111-1-1-1-1-1-111-11-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1111-1-1-1-11111-111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1111-1-1-1-11111-1-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-111-11-111-1-1-11111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-111-11-111-1-1-111-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-222-22-2-200-2000002000000000000000
χ1822222222222-2-2-2-22-2-2-2-222200200000-2000000000000000
χ192222222222-222-2-2-2-2002-200200-200-200200000000000000
χ202222222222-222-2-2-2-2002-200-200200200-200000000000000
χ212222222222-2-2-222-2200-2-2000200-220-20000000000000000
χ222222222222-2-2-222-2200-2-2000-2002-2020000000000000000
χ2322222222-2-22-2-2-2-222222-22200-200000-2000000000000000
χ2422222222-2-22-2-2-2-222-2-22-2-2-2002000002000000000000000
χ2522222222-2-2-222-2-2-2200-2200200200-200-200000000000000
χ2622222222-2-2-222-2-2-2200-2200-200-200200200000000000000
χ2722222222-2-2-2-2-222-2-20022000200-2-2020000000000000000
χ2822222222-2-2-2-2-222-2-20022000-200220-20000000000000000
χ29444-44-4-4-40004-4000000000000000000000000000022−220000
χ30444-44-4-4-40004-40000000000000000000000000000−22220000
χ31444-44-4-4-4000-4400000000000000000000000000000022−2200
χ32444-44-4-4-4000-44000000000000000000000000000000−222200
χ3344-44-4-4-444-4000000000000000000000002i−2i2i−2i0000000000
χ3444-44-4-4-444-400000000000000000000000−2i2i−2i2i0000000000
χ3544-44-4-4-44-44000000000000000000000002i−2i−2i2i0000000000
χ3644-44-4-4-44-4400000000000000000000000−2i2i2i−2i0000000000
χ3744-4-4-444-40040000-4000004-4000000000000000000000000
χ3844-4-4-444-40040000-400000-44000000000000000000000000
χ3944-4-4-444-400-40000404i−4i0000000000000000000000000000
χ4044-4-4-444-400-4000040−4i4i0000000000000000000000000000
χ414-4-4-44-444000004-400000000000000000000000022−22000000
χ424-4-4-44-444000004-4000000000000000000000000−2222000000
χ434-4-4-44-44400000-44000000000000000000000022−2200000000
χ444-4-4-44-44400000-440000000000000000000000−222200000000
χ458-888-8-88-8000000000000000000000000000000000000000
χ468-88-8-88-88000000000000000000000000000000000000000
χ478-8-8888-8-8000000000000000000000000000000000000000

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