Finite Group Databasebeta

← Group #501178

Character table — Group #501178

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222222244222244444442444444444444444888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-111-1-111-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-11-1-1111-11-1-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111-1-1-1-1-1-1-11-1-1-1-11-111111111-1-1
χ51111111111111111-1-1111-1-1-1-111-111-1-111-1-111111-1-1-1-1-1-1
χ61111111111111111-1-1111-1-1-1-1-11-1-1-1-1-1-11-1-11-1-1-1-1111111
χ71111111111111111-1-11-1-1-1-1111-1111-111-11-1-1-1-1-1-11111-1-1
χ81111111111111111-1-11-1-1-1-111-1-11-1-1-11-1-11-1-11111-1-1-1-111
χ91111111-1-111111-1-111-11111111-1-1-1-1-111-1-1-1111-1-111-1-11-1
χ101111111-1-111111-1-111-1111111-1-1-111-11-1-1-1-11-1-111-1-111-11
χ111111111-1-111111-1-111-1-1-111-1-1111-1-1-1-1111-1-1-1-111-1-1111-1
χ121111111-1-111111-1-111-1-1-111-1-1-11111-1-1-111-1-111-1-111-1-1-11
χ131111111-1-111111-1-1-1-1-111-1-1-1-11-11-1-11-11-111111-1-1-1-111-11
χ141111111-1-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ151111111-1-111111-1-1-1-1-1-1-1-1-11111-1-1-11111-11-1-1-11111-1-1-11
χ161111111-1-111111-1-1-1-1-1-1-1-1-111-11-11111-11-11-111-1-1-1-1111-1
χ17222222222-2-22-2-22-200-222000002000000-200-20000000000
χ18222222222-2-22-2-22-200-2-2-200000-200000020020000000000
χ192222222-2-2-2-22-2-2-220022200000-2000000200-20000000000
χ202222222-2-2-2-22-2-2-22002-2-2000002000000-20020000000000
χ21222222-22222-2-2-2-2222-200-2-2000000020000-200000000000
χ22222222-22222-2-2-2-22-2-2-200220000000-20000200000000000
χ23222222-222-2-2-222-2-200200002200-2000-2002000000000000
χ24222222-222-2-2-222-2-20020000-2-2002000200-2000000000000
χ25222222-2-2-222-2-2-22-222200-2-20000000-20000200000000000
χ26222222-2-2-222-2-2-22-2-2-220022000000020000-200000000000
χ27222222-2-2-2-2-2-2222200-2000022002000-200-2000000000000
χ28222222-2-2-2-2-2-2222200-20000-2-200-20002002000000000000
χ292-2-22-222002-2-22-2002-20002-200000000000000002i−2i002i−2i00
χ302-2-22-222002-2-22-2002-20002-20000000000000000−2i2i00−2i2i00
χ312-2-22-222002-2-22-200-22000-2200000000000000002i−2i00−2i2i00
χ322-2-22-222002-2-22-200-22000-220000000000000000−2i2i002i−2i00
χ332-2-22-22-2002-22-22002-2000-22000000000000002-2002-20000
χ342-2-22-22-2002-22-22002-2000-2200000000000000-2200-220000
χ352-2-22-22-2002-22-2200-220002-2000000000000002-200-220000
χ362-2-22-22-2002-22-2200-220002-200000000000000-22002-20000
χ374444-4-404-400000000000000002002-200-200000000000000
χ384444-4-404-40000000000000000-200-2200200000000000000
χ394444-4-40-440000000000000000200-2200-200000000000000
χ404444-4-40-440000000000000000-2002-200200000000000000
χ414-4-44-44400-44-4-44000000000000000000000000000000000
χ424-4-44-44-400-4444-4000000000000000000000000000000000
χ4388-8-800000000000000000004i−4i0000000000000000000000
χ4488-8-80000000000000000000−4i4i0000000000000000000000
χ458-88-80000000000000004i−4i00000000000000000000000000
χ468-88-8000000000000000−4i4i00000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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