Finite Group Databasebeta

← Group #486258

Character table — Group #486258

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444224444444442244444444448888888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-11111-11-111-111-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111-1-1111-1-11111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111-1-1111-1-11111-1-11-1-1-1-11-1-1-1-111111111-1-1
χ711111111111111-1-11-1-111-1-11111-1-1111-1-1-111-1-1-1-11111-1-1
χ811111111111111-1-11-1-111-1-111-1-1-1-11-1-1-1-1-1111111-1-1-1-111
χ91111111-1-11-1-1-1-111-11111-1-1111-1-1-1-11-111-11-111-1-111-1-11-1
χ101111111-1-11-1-1-1-111-11111-1-111-11-1-1-1-1111-11-1-1-111-1-111-11
χ111111111-1-11-1-1-1-111-1-1-1-1-111111-11-111-1-11-1-1111-1-1-1-111-11
χ121111111-1-11-1-1-1-111-1-1-1-1-11111-111-11-11-11-1-11-1-11111-1-11-1
χ131111111-1-11-1-1-1-1-1-1-111-1-1-1-1111-1-1111-11-11-11-1-111-1-1111-1
χ141111111-1-11-1-1-1-1-1-1-111-1-1-1-111-11-111-111-11-1111-1-111-1-1-11
χ151111111-1-11-1-1-1-1-1-1-1-1-11111111-111-11-1-1-111-1-1-11111-1-1-11
χ161111111-1-11-1-1-1-1-1-1-1-1-1111111-1111-1-11-1-111-111-1-1-1-1111-1
χ172222222222-2-22200-2220022-2-200-20000-200000000000000
χ182222222222-2-22200-2-2-200-2-2-2-20020000200000000000000
χ192222222-2-2222-2-20022200-2-2-2-20020000-200000000000000
χ202222222-2-2222-2-2002-2-20022-2-200-20000200000000000000
χ21222222-222-222-2-200-2002200-220000200000-2-20000000000
χ22222222-222-222-2-200-200-2-200-220000-200000220000000000
χ23222222-222-2-2-2-2-22220000002-2000-20000-22000000000000
χ24222222-222-2-2-2-2-2-2-220000002-2000200002-2000000000000
χ25222222-2-2-2-2222222-20000002-200020000-2-2000000000000
χ26222222-2-2-2-22222-2-2-20000002-2000-2000022000000000000
χ27222222-2-2-2-2-2-222002002200-220000-200000-220000000000
χ28222222-2-2-2-2-2-22200200-2-200-2200002000002-20000000000
χ292-2-22-22-22-22002-20002-2002-2000000000000002−22−22−22−200
χ302-2-22-22-22-22002-20002-2002-200000000000000−22−22−22−2200
χ312-2-22-22-22-22002-2000-2200-22000000000000002−22−2−22−2200
χ322-2-22-22-22-22002-2000-2200-2200000000000000−22−222−22−200
χ332-2-22-22-2-22200-220002-200-22000000000000002−2−222−2−2200
χ342-2-22-22-2-22200-220002-200-2200000000000000−222−2−222−200
χ352-2-22-22-2-22200-22000-22002-2000000000000002−2−22−222−200
χ362-2-22-22-2-22200-22000-22002-200000000000000−222−22−2−2200
χ374444-4-400004-4000000000000022000-2-2000000000000000
χ384444-4-400004-40000000000000-2-200022000000000000000
χ394444-4-40000-4400000000000002-2000-22000000000000000
χ404444-4-40000-440000000000000-220002-2000000000000000
χ414-4-44-4444-4-400-44000000000000000000000000000000000
χ424-4-44-444-44-4004-4000000000000000000000000000000000
χ4388-8-800000000004-40000000000000000000000000000000
χ4488-8-80000000000-440000000000000000000000000000000
χ458-88-80000000000000004i−4i00000000000000000000000000
χ468-88-8000000000000000−4i4i00000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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