Finite Group Databasebeta

← Group #176352

Character table — Group #176352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444422444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-11-1-11-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1
χ8111111111111111111-1-11-1-11-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1111111
χ911111111-1-11-1-11111111-1-1-1-111-1-11-111-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-11111111-1-1-1-111-1-11-111-1-11-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-11111111-1-1-1-1-1-111-111-11-1-1111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-111-11-1-11-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-1-111-111-1-11-1-1-111-1111-1-1-1-111-1-1111-1
χ1411111111-1-11-1-111111-1-1-111-111-1-11-1-1-111-11-1-11111-1-111-1-1-11
χ1511111111-1-11-1-111111-1-1-111-1-1-111-11-11-111-111-1-111-1-1-1-111-11
χ1611111111-1-11-1-111111-1-1-111-1-1-111-11-11-111-1-1-111-1-11111-1-11-1
χ1722222222222-2-2-2-2-2-2200200-200000002-20-2200000000000000
χ1822222222222-2-2-2-2-2-2200200-20000000-2202-200000000000000
χ192222222222-222-2-222-200-200-22222-2-200000000000000000000
χ202222222222-222-2-222-200-200-2-2-2-2-22200000000000000000000
χ212222222222-2-2-222-2-2-222-2222000000-200-20000000000000000
χ222222222222-2-2-222-2-2-2-2-2-2-2-2200000020020000000000000000
χ2322222222-2-2222-2-2-2-2200-20020000000220-2-200000000000000
χ2422222222-2-2222-2-2-2-2200-20020000000-2-202200000000000000
χ2522222222-2-2-22222-2-2-2222-2-2-2000000-20020000000000000000
χ2622222222-2-2-22222-2-2-2-2-2222-2000000200-20000000000000000
χ2722222222-2-2-2-2-2-2-222-200200222-2-2-2200000000000000000000
χ2822222222-2-2-2-2-2-2-222-2002002-2-2222-200000000000000000000
χ29444-4-44-4-4000004-40000004-4000000000000000000000000000
χ30444-4-44-4-4000004-4000000-44000000000000000000000000000
χ31444-4-44-4-400000-440004-4000000000000000000000000000000
χ32444-4-44-4-400000-44000-44000000000000000000000000000000
χ3344-44-4-44-4004000000-400000000000000000000000022−22000000
χ3444-44-4-44-4004000000-4000000000000000000000000−2222000000
χ3544-44-4-44-400-4000000400000000000000000000002i2−2i200000000
χ3644-44-4-44-400-400000040000000000000000000000−2i22i200000000
χ3744-4-44-4-440004-4000000000000000000000002i−2i2i−2i0000000000
χ3844-4-44-4-440004-400000000000000000000000−2i2i−2i2i0000000000
χ3944-4-44-4-44000-44000000000000000000000002i−2i−2i2i0000000000
χ4044-4-44-4-44000-4400000000000000000000000−2i2i2i−2i0000000000
χ414-4444-4-4-44-400000000000000000000000000000000002-22-200
χ424-4444-4-4-44-40000000000000000000000000000000000-22-2200
χ434-4444-4-4-4-4400000000000000000000000000000000002-2-2200
χ444-4444-4-4-4-440000000000000000000000000000000000-222-200
χ454-44-4-4-44400000004-40000000004-40000000000000000000000
χ464-44-4-4-44400000004-4000000000-440000000000000000000000
χ474-44-4-4-4440000000-4400000004-4000000000000000000000000
χ484-44-4-4-4440000000-440000000-44000000000000000000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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