Finite Group Databasebeta

← Group #265208

Character table — Group #265208

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488224444448882444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ41111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111-1-111-1-11111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111
χ611111111111111111-1-111-1-111111-11-1-11-1-1-111-1-1-1-1111111-1-1
χ711111111111111111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-1-111-111-111-1-1-1-111-1-1-1-111
χ9111111111111111-1-1111111-1-1-1-1-11-1111-1-1111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111-11
χ11111111111111111-1-111-1-11111-1-1-111-1-1-111111-1-1-1-1-1-1-1-111-11
χ12111111111111111-1-111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1111111-1-11-1
χ13111111111111111-1-1-1-111-1-1-1-1-1-1-11-1-1-11111-1-111-1-111-1-1111-1
χ14111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-11-1-111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1111-1
χ172222222-2-2222-2-2-222002200-2-22-2-20200-200000000000000000
χ182222222-2-2222-2-2-22200-2-200222-2-20-200200000000000000000
χ192222222-2-2222-2-2-2-2-200220022-2220-200-200000000000000000
χ202222222-2-2222-2-2-2-2-200-2-200-2-2-2220200200000000000000000
χ21222222-222-2-2-22-2-2002200-2-2000000000000000002i−2i2i−2i000000
χ22222222-222-2-2-22-2-2002200-2-200000000000000000−2i2i−2i2i000000
χ23222222-222-2-2-22-2-200-2-20022000000000000000002i−2i−2i2i000000
χ24222222-222-2-2-22-2-200-2-2002200000000000000000−2i2i2i−2i000000
χ252222-2-2222-2-22-2-22002-2002-2000002000000-22-2000000000000
χ262222-2-2222-2-22-2-22002-2002-200000-20000002-22000000000000
χ272222-2-2222-2-22-2-2200-2200-22000002000000-2-22000000000000
χ282222-2-2222-2-22-2-2200-2200-2200000-200000022-2000000000000
χ292222-2-2-22222-2-22-2222-200-2200-22-200000000002-20000000000
χ302222-2-2-22222-2-22-222-22002-200-22-20000000000-220000000000
χ312222-2-2-22222-2-22-2-2-22-200-22002-220000000000-220000000000
χ322222-2-2-22222-2-22-2-2-2-22002-2002-2200000000002-20000000000
χ332222-2-2-2-2-222-22-222200000000-2-22002-202-2000000000000000
χ342222-2-2-2-2-222-22-222200000000-2-2200-220-22000000000000000
χ352222-2-2-2-2-222-22-22-2-20000000022-2002-20-22000000000000000
χ362222-2-2-2-2-222-22-22-2-20000000022-200-2202-2000000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-44-4-4-4-4444-400000000000000000000000000000000000
χ394-4-444-44004-4-400000004i−4i00000000000000000000000000000
χ404-4-444-44004-4-40000000−4i4i00000000000000000000000000000
χ414-4-444-4-400-444000000000000000000000000000000000022−2200
χ424-4-444-4-400-4440000000000000000000000000000000000−222200
χ434-4-44-44400-44-4000000000000000000000000000000002i2−2i20000
χ444-4-44-44400-44-400000000000000000000000000000000−2i22i20000
χ454-4-44-44-4004-44000000000004-40000000000000000000000000
χ464-4-44-44-4004-4400000000000-440000000000000000000000000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-88-80008-800000000000000000000000000000000000000000
χ508-88-8000-8800000000000000000000000000000000000000000

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