Finite Group Databasebeta

← Group #484669

Character table — Group #484669

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222222222224444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ511111111111111-1-111-1-1111111-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111-1-111-1-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-111-1-1-1-1-1-111-111-1-11111-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-111-111-1-1-1-1-1-1-11111111111-1-1-1-1
χ911111-1-1-1-111-1-1111-1-1-1-111-1-111-11-11-111-1-111-111-1-111-1-111-1-1
χ1011111-1-1-1-111-1-1111-1-1-1-111-1-111-11-11-1-1-11111-1-1-111-1-111-1-111
χ1111111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-11-1111-1-11-11-1-11111-1-1-1-111
χ1211111-1-1-1-111-1-1111-1-1-1-1-1-11111-1-11-11-1-1111-1111-1-1-1-11111-1-1
χ1311111-1-1-1-111-1-11-1-1-1-11111-1-1111-111-111-1-1-1-1111-1-1-1-111-1-111
χ1411111-1-1-1-111-1-11-1-1-1-11111-1-1111-111-1-1-111-1-11-1-11111-1-111-1-1
χ1511111-1-1-1-111-1-11-1-1-1-111-1-1111111-1-1111-1-1-11-1-1-111-1-11111-1-1
χ1611111-1-1-1-111-1-11-1-1-1-111-1-1111111-1-11-1-111-11-111-1-111-1-1-1-111
χ172222222222222200-2-2002222-2-2000-2-20000000000000000000
χ182222222222222200-2-200-2-2-2-2-2-2000220000000000000000000
χ192222222222-2-2-2-2002-20000002-20220000000-2-2000000000000
χ202222222222-2-2-2-2002-20000002-20-2-2000000022000000000000
χ212222222222-2-2-2-222-22-2-20000-22200000000-200000000000000
χ222222222222-2-2-2-2-2-2-22220000-22-200000000200000000000000
χ2322222-2-2-2-222-2-2200220022-2-2-2-2000-220000000000000000000
χ2422222-2-2-2-222-2-22002200-2-222-2-20002-20000000000000000000
χ2522222-2-2-2-22-222-200-220000002-202-20000000-22000000000000
χ2622222-2-2-2-22-222-200-220000002-20-2200000002-2000000000000
χ2722222-2-2-2-22-222-2222-2220000-22-200000000-200000000000000
χ2822222-2-2-2-22-222-2-2-22-2-2-20000-22200000000200000000000000
χ2922-2-2-222-2-2222-2-20000002-22-2000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3022-2-2-222-2-2222-2-20000002-22-2000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3122-2-2-222-2-2222-2-2000000-22-22000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3222-2-2-222-2-2222-2-2000000-22-22000000000000000000−i2i2−i2i2i2−i2i2−i2
χ3322-2-2-2-2-22222-22-20000002-2-22000000000000000000i2−i2−i2i2i2−i2−i2i2
χ3422-2-2-2-2-22222-22-20000002-2-22000000000000000000−i2i2i2−i2−i2i2i2−i2
χ3522-2-2-2-2-22222-22-2000000-222-2000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3622-2-2-2-2-22222-22-2000000-222-2000000000000000000−i2i2i2−i2i2−i2−i2i2
χ374444-44-44-4-40000000000000000000002-22-2000000000000000
χ384444-44-44-4-4000000000000000000000-22-22000000000000000
χ394444-4-44-44-40000000000000000000002-2-22000000000000000
χ404444-4-44-44-4000000000000000000000-222-2000000000000000
χ4144-4-444-4-44-400000000000000000000000000002-22-200000000
χ4244-4-444-4-44-40000000000000000000000000000-22-2200000000
χ4344-4-44-444-4-400000000000000000000000000002-2-2200000000
χ4444-4-44-444-4-40000000000000000000000000000-222-200000000
χ4544-4-4-444-4-44-4-444000000000000000000000000000000000000
χ4644-4-4-4-4-4444-44-44000000000000000000000000000000000000
χ478-88-8000000000000004-4000000000000000000000000000000
χ488-88-800000000000000-44000000000000000000000000000000
χ498-8-8800000000004-40000000000000000000000000000000000
χ508-8-880000000000-440000000000000000000000000000000000

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