Finite Group Databasebeta

← Group #484302

Character table — Group #484302

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244442244224444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ9111111-1-1-1-1-1-11111-1-1-1-111-1-1111-11-11-11-11-11-111-1-111-1-111-1-1
χ10111111-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1-11-11-11-1111-1-1-1-111-1-111
χ11111111-1-1-1-1-1-11111-1-1-1-111-1-111-11-111-11-11-11-1-1-111-1-111-1-111
χ12111111-1-1-1-1-1-11111-1-1-1-111-1-111-11-11-11-11-11-11-1-11111-1-111-1-1
χ13111111-1-1-1-1-1-111-1-1-1-111-1-111111-11-11-1-111-1-11-1-11111-1-1-1-111
χ14111111-1-1-1-1-1-111-1-1-1-111-1-111111-11-1-111-1-111-1-1-111-1-11111-1-1
χ15111111-1-1-1-1-1-111-1-1-1-111-1-11111-11-111-1-111-1-1111-1-1-1-11111-1-1
χ16111111-1-1-1-1-1-111-1-1-1-111-1-11111-11-11-111-1-111-111-1-111-1-1-1-111
χ172222222222222222-2-222-2-2-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-22222-2-2000000000000000000000000
χ192222222222-2-2-2-2002-20000002-20000002200-2-2000000000000
χ202222222222-2-2-2-2002-20000002-2000000-2-20022000000000000
χ212222222222-2-2-2-200-22000000-2200002200-2-200000000000000
χ222222222222-2-2-2-200-22000000-220000-2-2002200000000000000
χ23222222-2-2-2-222-2-2002-2000000-2200002-200-2200000000000000
χ24222222-2-2-2-222-2-2002-2000000-220000-22002-200000000000000
χ25222222-2-2-2-222-2-200-220000002-20000002-200-22000000000000
χ26222222-2-2-2-222-2-200-220000002-2000000-22002-2000000000000
χ27222222-2-2-2-2-2-2222222-2-2-2-222-2-2000000000000000000000000
χ28222222-2-2-2-2-2-222-2-2222222-2-2-2-2000000000000000000000000
χ292-22-22-222-2-22-2-222-2002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ302-22-22-222-2-22-2-222-2002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ312-22-22-222-2-22-2-22-2200-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ322-22-22-222-2-22-2-22-2200-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ332-22-22-2-2-222-22-222-200-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ342-22-22-2-2-222-22-222-200-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ352-22-22-2-2-222-22-22-22002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ362-22-22-2-2-222-22-22-22002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ374444-4-44-44-4000000000000000022-2-200000000000000000000
χ384444-4-44-44-40000000000000000-2-22200000000000000000000
χ394444-4-4-44-4400000000000000002-2-2200000000000000000000
χ404444-4-4-44-440000000000000000-222-200000000000000000000
χ414-44-44-444-4-4-444-4000000000000000000000000000000000000
χ424-44-44-4-4-4444-44-4000000000000000000000000000000000000
χ434-44-4-444-4-4400000000000000000000000000002-22-200000000
χ444-44-4-444-4-440000000000000000000000000000-22-2200000000
χ454-44-4-44-444-400000000000000000000000000002-2-2200000000
χ464-44-4-44-444-40000000000000000000000000000-222-200000000
χ4788-8-80000000000000000004-400000000000000000000000000
χ4888-8-8000000000000000000-4400000000000000000000000000
χ498-8-8800000000000000004-40000000000000000000000000000
χ508-8-880000000000000000-440000000000000000000000000000

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