Finite Group Databasebeta

← Group #486393

Character table — Group #486393

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444224444444444444444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-111-111111-1-1-111-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-1-1-1-1111111
χ511111111111111-1-111111-1-11111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-111111-1-1111-1-1-1-1-1-1-11-1-1-111111111-1-1
χ711111111111111-1-11-1-1-1-11111-11111-111-1-1-11-1-1-1-11111-1-1
χ811111111111111-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ9111111-1-11-1-1-1-1111-111-1-1-1-111-111-1-1-11-111-1111-1-111-1-11-1
χ10111111-1-11-1-1-1-1111-111-1-1-1-111-1-1-111-11-111-11-1-111-1-111-11
χ11111111-1-11-1-1-1-1111-1-1-1111111111-1-1-1-11-11-1-111-1-1-1-111-11
χ12111111-1-11-1-1-1-1111-1-1-11111111-1-111-1-11-11-1-1-1-11111-1-11-1
χ13111111-1-11-1-1-1-11-1-1-111-1-11111-111-1-11-111-11-1-1-111-1-1111-1
χ14111111-1-11-1-1-1-11-1-1-111-1-11111-1-1-1111-111-11-111-1-111-1-1-11
χ15111111-1-11-1-1-1-11-1-1-1-1-111-1-111111-1-111-1-1-111-1-11111-1-1-11
χ16111111-1-11-1-1-1-11-1-1-1-1-111-1-1111-1-11111-1-1-11111-1-1-1-1111-1
χ17222222222-2-2-2-2200222-2-200-2-220000000-20000000000000
χ18222222222-2-2-2-22002-2-22200-2-2-2000000020000000000000
χ1922222222-222-2-2-200-20000222-2000000-2-200020000000000
χ2022222222-222-2-2-200-20000-2-22-200000022000-20000000000
χ2122222222-2-2-222-222-2000000-22000002000-2-200000000000
χ2222222222-2-2-222-2-2-2-2000000-2200000-20002200000000000
χ23222222-2-222222200-2222200-2-2-20000000-20000000000000
χ24222222-2-222222200-2-2-2-2-200-2-22000000020000000000000
χ25222222-2-2-222-2-2-2222000000-2200000-2000-2200000000000
χ26222222-2-2-222-2-2-2-2-22000000-220000020002-200000000000
χ27222222-2-2-2-2-222-20020000222-20000002-2000-20000000000
χ28222222-2-2-2-2-222-20020000-2-22-2000000-2200020000000000
χ292-2-22-220022-22-2-20002-22-20000000000000000i2−i2i2−i2i2−i2i2−i200
χ302-2-22-220022-22-2-20002-22-20000000000000000−i2i2−i2i2−i2i2−i2i200
χ312-2-22-220022-22-2-2000-22-220000000000000000i2−i2i2−i2−i2i2−i2i200
χ322-2-22-220022-22-2-2000-22-220000000000000000−i2i2−i2i2i2−i2i2−i200
χ332-2-22-22002-22-22-20002-2-220000000000000000i2−i2−i2i2i2−i2−i2i200
χ342-2-22-22002-22-22-20002-2-220000000000000000−i2i2i2−i2−i2i2i2−i200
χ352-2-22-22002-22-22-2000-222-20000000000000000i2−i2−i2i2−i2i2i2−i200
χ362-2-22-22002-22-22-2000-222-20000000000000000−i2i2i2−i2i2−i2−i2i200
χ374444-4-44-40000000000000000002-22-200000000000000000
χ384444-4-44-4000000000000000000-22-2200000000000000000
χ394444-4-4-440000000000000000002-2-2200000000000000000
χ404444-4-4-44000000000000000000-222-200000000000000000
χ414-4-44-4400-44-4-444000000000000000000000000000000000
χ424-4-44-4400-4-444-44000000000000000000000000000000000
χ4388-8-8000000000000000004-4000000000000000000000000
χ4488-8-800000000000000000-44000000000000000000000000
χ458-88-800000000004-40000000000000000000000000000000
χ468-88-80000000000-440000000000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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