Finite Group Databasebeta

← Group #169151

Character table — Group #169151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444444444444444444444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-11-1-111111-1-1-1-111-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-1-1-1-11-111-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-11-111-1-1-111-1-1-1-111111111-1-1
χ911111111-1-11-1-11111111-1-1-111-1-1-1-11-111-11-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-11111111-1-1-111-1-1-1-11-111-11-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-11111111-1-1-1-1-111-1-1-111-11-1111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-11111111-1-1-1-1-111-1-1-111-11-11-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-1-11111-1-1-11-11-11-1-1111-1-111-1-1-1-111-11
χ1411111111-1-11-1-111111-1-1-11111-1-1-11-11-11-1-11-1-111-1-11111-1-11-1
χ1511111111-1-11-1-111111-1-1-111-1-111-111-1-1-111-111-1-1-1-111-1-1111-1
χ1611111111-1-11-1-111111-1-1-111-1-111-111-1-1-111-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-2200-2002222-20000-2-20000000000000000
χ182222222222222-2-2-2-2200-200-2-2-2-2-20000220000000000000000
χ192222222222-2-2-222-2-2-2222220000-2-200-2000000000000000000
χ202222222222-2-2-222-2-2-2-2-22-2-20000-22002000000000000000000
χ212222222222-2-2-2-2-222-200-2000000202-2000-2200000000000000
χ222222222222-2-2-2-2-222-200-200000020-220002-200000000000000
χ2322222222-2-22-2-2-2-2-2-220020022-2-220000-220000000000000000
χ2422222222-2-22-2-2-2-2-2-2200200-2-222200002-20000000000000000
χ2522222222-2-2-22222-2-2-222-2-2-200002200-2000000000000000000
χ2622222222-2-2-22222-2-2-2-2-2-22200002-2002000000000000000000
χ2722222222-2-2-222-2-222-2002000000-2022000-2-200000000000000
χ2822222222-2-2-222-2-222-2002000000-20-2-20002200000000000000
χ29222-2-2-22-22-2-22-200002000002-22-2000000000i2−i2i2−i2i2−i2i2−i2000000
χ30222-2-2-22-22-2-22-200002000002-22-2000000000−i2i2−i2i2−i2i2−i2i2000000
χ31222-2-2-22-22-2-22-20000200000-22-22000000000i2−i2i2−i2−i2i2−i2i2000000
χ32222-2-2-22-22-2-22-20000200000-22-22000000000−i2i2−i2i2i2−i2i2−i2000000
χ33222-2-2-22-2-22-2-2200002000002-2-22000000000i2−i2−i2i2i2−i2−i2i2000000
χ34222-2-2-22-2-22-2-2200002000002-2-22000000000−i2i2i2−i2−i2i2i2−i2000000
χ35222-2-2-22-2-22-2-220000200000-222-2000000000i2−i2−i2i2−i2i2i2−i2000000
χ36222-2-2-22-2-22-2-220000200000-222-2000000000−i2i2i2−i2i2−i2−i2i2000000
χ37444-4-4-44-44-44-440000-400000000000000000000000000000000
χ38444-4-4-44-4-4444-40000-400000000000000000000000000000000
χ3944-444-4-4-4000004-40000004-4000000000000000000000000000
χ4044-444-4-4-4000004-4000000-44000000000000000000000000000
χ4144-444-4-4-400000-440004-4000000000000000000000000000000
χ4244-444-4-4-400000-44000-44000000000000000000000000000000
χ434-4-44-4-44400000004-400000000000000000000000000022−220000
χ444-4-44-4-44400000004-4000000000000000000000000000−22220000
χ454-4-44-4-4440000000-440000000000000000000000000000022−2200
χ464-4-44-4-4440000000-4400000000000000000000000000000−222200
χ4788-8-8-88-88000000000000000000000000000000000000000000
χ488-888-88-8-8000000000000000000000000000000000000000000
χ498-88-88-8-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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