Finite Group Databasebeta

← Group #176543

Character table — Group #176543

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-11-1-111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-111111-111-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-11-1-1-1-1-1-11-1-1-111-11111111111-1-1-1-1-1-1
χ8111111111111111111-1-11-1-1-1-1-1-11-1-1-111-111-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-111111111-1-1-111-1-1-1-11-11-111-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-111-1-1-1-11-11-111-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-111-1-1-11-111-1111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-1-111-1-1-11-111-11-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-1-11111-1-1-111-1-11-1-1111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-1111111-1-1-11111-1-1-111-1-11-1-11-1-11111-1-111-1-1-11
χ1511111111-1-1-1-1111111-1-1-111-1-111-11-111-1-11-111-1-111-1-1-1-111-11
χ1611111111-1-1-1-1111111-1-1-111-1-111-11-111-1-11-1-1-111-1-11111-1-11-1
χ17222222222222-2-2-222-200-2002222-20-2-20000000000000000000
χ18222222222222-2-2-222-200-200-2-2-2-2-20220000000000000000000
χ192222222222-2-22-2-2-2-2200-200000020002-20-2200000000000000
χ202222222222-2-22-2-2-2-2200-20000002000-2202-200000000000000
χ212222222222-2-2-222-2-2-2222220000-2-20000-20000000000000000
χ222222222222-2-2-222-2-2-2-2-22-2-20000-22000020000000000000000
χ2322222222-2-2222-2-2-2-22002000000-2000220-2-200000000000000
χ2422222222-2-2222-2-2-2-22002000000-2000-2-202200000000000000
χ2522222222-2-222-222-2-2-222-2-2-20000220000-20000000000000000
χ2622222222-2-222-222-2-2-2-2-2-22200002-2000020000000000000000
χ2722222222-2-2-2-2-2-2-222-20020022-2-220-220000000000000000000
χ2822222222-2-2-2-2-2-2-222-200200-2-222202-20000000000000000000
χ29444-4-4-4-44000040000-400000000000000000000000022−22000000
χ30444-4-4-4-44000040000-4000000000000000000000000−2222000000
χ31444-4-4-4-440000-40000400000000000000000000002i2−2i200000000
χ32444-4-4-4-440000-4000040000000000000000000000−2i22i200000000
χ3344-44-44-4-400000004-4000000004-400000000000000000000000
χ3444-44-44-4-400000004-400000000-4400000000000000000000000
χ3544-44-44-4-40000000-440000004-40000000000000000000000000
χ3644-44-44-4-40000000-44000000-440000000000000000000000000
χ374-4444-4-4-4000004-40000004-4000000000000000000000000000
χ384-4444-4-4-4000004-4000000-44000000000000000000000000000
χ394-4444-4-4-400000-440004-4000000000000000000000000000000
χ404-4444-4-4-400000-44000-44000000000000000000000000000000
χ414-44-4-444-4004-40000000000000000000000002i−2i2i−2i0000000000
χ424-44-4-444-4004-4000000000000000000000000−2i2i−2i2i0000000000
χ434-44-4-444-400-440000000000000000000000002i−2i−2i2i0000000000
χ444-44-4-444-400-44000000000000000000000000−2i2i2i−2i0000000000
χ454-4-44-4-4444-400000000000000000000000000000000002-22-200
χ464-4-44-4-4444-40000000000000000000000000000000000-22-2200
χ474-4-44-4-444-4400000000000000000000000000000000002-2-2200
χ484-4-44-4-444-440000000000000000000000000000000000-222-200
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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