Finite Group Databasebeta

← Group #176544

Character table — Group #176544

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111-1-1-1-111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-1-1-1-1-111-1-1-111-1-1-11111111111-1-1-1-1-1-1
χ8111111111111111111-1-1-1-1-1-111-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-11111111111-1-1-1-1-1-111-1-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-111-1-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-111-1-1-1-11-11-1-11-1111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-111-1-1-1-11-11-1-11-11-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-1111111-1-111-1-1-1-111-1-1111-1-11-1-11111-1-111-1-1-11
χ1511111111-1-1-1-1111111-1-1-1-111-1-111-11-11-111-111-1-111-1-1-1-111-11
χ1611111111-1-1-1-1111111-1-1-1-111-1-111-11-11-111-1-1-111-1-11111-1-11-1
χ17222222222222-222-2-2-2002222-2-2000000-2-20000000000000000
χ18222222222222-222-2-2-200-2-2-2-2-2-2000000220000000000000000
χ192222222222-2-22-2-2-2-220000002-20002-2000-2200000000000000
χ202222222222-2-22-2-2-2-220000002-2000-220002-200000000000000
χ212222222222-2-2-2-2-222-2220000-2222-200-2000000000000000000
χ222222222222-2-2-2-2-222-2-2-20000-22-2-22002000000000000000000
χ2322222222-2-2222-2-2-2-22000000-2200022000-2-200000000000000
χ2422222222-2-2222-2-2-2-22000000-22000-2-20002200000000000000
χ2522222222-2-222-2-2-222-22200002-2-2-2-2002000000000000000000
χ2622222222-2-222-2-2-222-2-2-200002-222200-2000000000000000000
χ2722222222-2-2-2-2-222-2-2-20022-2-222000000-220000000000000000
χ2822222222-2-2-2-2-222-2-2-200-2-222220000002-20000000000000000
χ29444-4-44-4-400000004-40000000004-40000000000000000000000
χ30444-4-44-4-400000004-4000000000-440000000000000000000000
χ31444-4-44-4-40000000-4404-4000000000000000000000000000000
χ32444-4-44-4-40000000-440-44000000000000000000000000000000
χ3344-444-4-4-4000004-400000004-400000000000000000000000000
χ3444-444-4-4-4000004-40000000-4400000000000000000000000000
χ3544-444-4-4-400000-44000004-40000000000000000000000000000
χ3644-444-4-4-400000-4400000-440000000000000000000000000000
χ3744-4-4-4-4444-400000000000000000000000000000000002i−2i2i−2i00
χ3844-4-4-4-4444-40000000000000000000000000000000000−2i2i−2i2i00
χ3944-4-4-4-444-4400000000000000000000000000000000002i−2i−2i2i00
χ4044-4-4-4-444-440000000000000000000000000000000000−2i2i2i−2i00
χ414-444-4-44-4000040000-4000000000000000000000022−2200000000
χ424-444-4-44-4000040000-40000000000000000000000−222200000000
χ434-444-4-44-40000-4000040000000000000000000000002i2−2i2000000
χ444-444-4-44-40000-400004000000000000000000000000−2i22i2000000
χ454-44-44-4-44004-40000000000000000000000002i−2i2i−2i0000000000
χ464-44-44-4-44004-4000000000000000000000000−2i2i−2i2i0000000000
χ474-44-44-4-4400-440000000000000000000000002i−2i−2i2i0000000000
χ484-44-44-4-4400-44000000000000000000000000−2i2i2i−2i0000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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