Finite Group Databasebeta

← Group #178797

Character table — Group #178797

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442244444444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-11-1-111-11111-1-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111-1-11-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-11-1-111-1-1-1-1-111-1111111-1-1-1-1-1-1-1-111
χ81111111111111111-1-11-1-111-1-1-1-1-111-111-1-1-1-111111111-1-1
χ911111111-1-111111111-1-1-1-1-1-11-11-11-111-111-1-111-1-111-1-11-1
χ1011111111-1-111111111-1-1-1-1-1-11-11-11-111-1-1-111-1-111-1-111-11
χ1111111111-1-111111111-1-1-1-1-1-1-11-11-111-1111-1-1-1-11111-1-1-11
χ1211111111-1-111111111-1-1-1-1-1-1-11-11-111-11-1-11111-1-1-1-1111-1
χ1311111111-1-1111111-1-1-111-1-111-11-1-11-1-1111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-111-1-111-11-1-11-1-11-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-111-1-11-11-111-1-11-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-111-1-11-11-111-1-11-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2200-2002-2022-2-20000000000000000000
χ1822222222222-2-2-2-2200-2002-20-2-2220000000000000000000
χ192222222222-222-2-2-200200-2-200000220-2-200000000000000
χ202222222222-222-2-2-200200-2-200000-2-202200000000000000
χ212222222222-2-2-222-222-2-2-2-222000000-20000000000000000
χ222222222222-2-2-222-2-2-2-222-22-200000020000000000000000
χ2322222222-2-22-2-2-2-2200200-2202-2-220000000000000000000
χ2422222222-2-22-2-2-2-2200200-220-222-20000000000000000000
χ2522222222-2-2-222-2-2-200-20022000002-20-2200000000000000
χ2622222222-2-2-222-2-2-200-2002200000-2202-200000000000000
χ2722222222-2-2-2-2-222-2222222-2-2000000-20000000000000000
χ2822222222-2-2-2-2-222-2-2-22-2-22-2200000020000000000000000
χ29444-4-44-4-44-4000000000000000000000002-22-20000000000
χ30444-4-44-4-44-400000000000000000000000-22-220000000000
χ31444-4-44-4-4-44000000000000000000000002-2-220000000000
χ32444-4-44-4-4-4400000000000000000000000-222-20000000000
χ3344-444-4-4-4000004-400004-400000000000000000000000000
χ3444-444-4-4-4000004-40000-4400000000000000000000000000
χ3544-444-4-4-400000-4404-400000000000000000000000000000
χ3644-444-4-4-400000-440-4400000000000000000000000000000
χ3744-4-4-4-4440040000-40000000000000000000002i2−2i200000000
χ3844-4-4-4-4440040000-4000000000000000000000−2i22i200000000
χ3944-4-4-4-44400-4000040000000000000000000000022−22000000
χ4044-4-4-4-44400-40000400000000000000000000000−2222000000
χ414-44-44-4-440004-40000000000000000000000000000002i2−2i200
χ424-44-44-4-440004-4000000000000000000000000000000−2i22i200
χ434-44-44-4-44000-4400000000000000000000000000002i2−2i20000
χ444-44-44-4-44000-440000000000000000000000000000−2i22i20000
χ458-888-8-88-8000000000000000000000000000000000000000
χ468-8-88-88-88000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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