Finite Group Databasebeta

← Group #486455

Character table — Group #486455

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444224444444444444444444448888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-111111-111-1111-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-111111111-1-1
χ511111111111111-1-1111-1-1-1-111-1111-111-111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-11-1-111-1-111-1-111111-1-1-111-1-1-1-11111-1-1
χ811111111111111-1-11-1-111-1-111-1-1-1-11-1-1-1-1-1111111-1-1-1-111
χ91111111-1-11-1-1-1-111-11111-1-111-1-11-1-11-111-11-111-1-111-1-11-1
χ101111111-1-11-1-1-1-111-11111-1-111-1-1-11-1-1111-11-1-1-111-1-111-11
χ111111111-1-11-1-1-1-111-1-1-1-1-1-1-111-111-111-11-11-11-1-111-1-1111-1
χ121111111-1-11-1-1-1-111-1-1-1-1-1-1-111-11-111-111-11-1111-1-111-1-1-11
χ131111111-1-11-1-1-1-1-1-1-111-1-111111-11-111-1-11-1-1111-1-1-1-111-11
χ141111111-1-11-1-1-1-1-1-1-111-1-111111-1-111-11-11-1-11-1-11111-1-11-1
χ151111111-1-11-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-111-1-1-11111-1-1-11
χ161111111-1-11-1-1-1-1-1-1-1-1-111111111-11-1-11-1-111-111-1-1-1-1111-1
χ17222222222222-2-222-2000022-2-2-2000000-200000000000000
χ18222222222222-2-2-2-2-20000-2-2-2-22000000200000000000000
χ192222222-2-22-2-2222220000-2-2-2-22000000-200000000000000
χ202222222-2-22-2-222-2-22000022-2-2-2000000200000000000000
χ21222222-222-2-2-22200-2002200-220000200000-2-20000000000
χ22222222-222-2-2-22200-200-2-200-220000-200000220000000000
χ23222222-222-2-2-2-2-20022200002-20-2000000-22000000000000
χ24222222-222-2-2-2-2-2002-2-200002-2020000002-2000000000000
χ25222222-2-2-2-2222200-22200002-202000000-2-2000000000000
χ26222222-2-2-2-2222200-2-2-200002-20-200000022000000000000
χ27222222-2-2-2-222-2-2002002200-220000-200000-220000000000
χ28222222-2-2-2-222-2-200200-2-200-2200002000002-20000000000
χ2922-2-22-222-2-22-2002-2000002-2000000000000002−22−22−22−200
χ3022-2-22-222-2-22-2002-2000002-200000000000000−22−22−22−2200
χ3122-2-22-222-2-22-200-2200000-22000000000000002−22−2−22−2200
χ3222-2-22-222-2-22-200-2200000-2200000000000000−22−222−22−200
χ3322-2-22-22-22-2-22002-200000-22000000000000002−2−222−2−2200
χ3422-2-22-22-22-2-22002-200000-2200000000000000−222−2−222−200
χ3522-2-22-22-22-2-2200-22000002-2000000000000002−2−22−222−200
χ3622-2-22-22-22-2-2200-22000002-200000000000000−222−22−2−2200
χ374444-4-40000004-40000000000000220-2-2000000000000000
χ384444-4-40000004-40000000000000-2-2022000000000000000
χ394444-4-4000000-4400000000000002-20-22000000000000000
χ404444-4-4000000-440000000000000-2202-2000000000000000
χ4144-4-44-4-44-44-4400000000000000000000000000000000000
χ4244-4-44-4-4-4444-400000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-800000000000004i−4i0000000000000000000000000000
χ458-88-80000000000000−4i4i0000000000000000000000000000
χ468-8-880000000000000004-400000000000000000000000000
χ478-8-88000000000000000-4400000000000000000000000000

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