Finite Group Databasebeta

← Group #502713

Character table — Group #502713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222222244224444444442444444444444444888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1111-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-111-1-111-11-1-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111-1-1-11-1-1-1-1-1-1-1-11-111111111-1-1
χ51111111111111111-1-1111-1-1-1-11-11-111-111-1-111111-1-1-1-1-1-1
χ61111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1-11-1-11-1-1-1-1111111
χ71111111111111111-1-11-1-1-1-1111-1-111111-11-1-1-1-1-1-11111-1-1
χ81111111111111111-1-11-1-1-1-111-1-1-11-1-11-1-11-1-11111-1-1-1-111
χ91111111-1-111111-1-111-11111111-1-11-1-1-111-1-1-111-1-111-1-11-1
χ101111111-1-111111-1-111-1111111-1-1-1111-1-11-1-1-1-1-111-1-111-11
χ111111111-1-111111-1-111-1-1-111-1-11-11-1-1-111-11-11-1-111-1-1111-1
χ121111111-1-111111-1-111-1-1-111-1-1-1-11-1111-1-11-1111-1-111-1-1-11
χ131111111-1-111111-1-1-1-1-111-1-1-1-111-1-1-1-111111-111-1-1-1-111-11
χ141111111-1-111111-1-1-1-1-111-1-1-1-1-11-1-1111-1111-1-1-11111-1-11-1
χ151111111-1-111111-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-11111-1-1-11
χ161111111-1-111111-1-1-1-1-1-1-1-1-111-111111-1-1-1-11111-1-1-1-1111-1
χ17222222222-2-22-2-22-200-222000000200000-200-20000000000
χ18222222222-2-22-2-22-200-2-2-2000000-20000020020000000000
χ192222222-2-2-2-22-2-2-2200222000000-200000-20020000000000
χ202222222-2-2-2-22-2-2-22002-2-2000000200000200-20000000000
χ21222222-22222-2-2-2-2222-200-2-2000200000000-200000000000
χ22222222-22222-2-2-2-22-2-2-20022000-200000000200000000000
χ23222222-222-2-2-222-2-2002000022000-200-2002000000000000
χ24222222-222-2-2-222-2-20020000-2-2000200200-2000000000000
χ25222222-2-2-222-2-2-22-222200-2-2000-200000000200000000000
χ26222222-2-2-222-2-2-22-2-2-220022000200000000-200000000000
χ27222222-2-2-2-2-2-2222200-2000022000-200200-2000000000000
χ28222222-2-2-2-2-2-2222200-20000-2-2000200-2002000000000000
χ292-2-222-22002-2-2-22002i−2i0002i−2i00000000000000002i−2i002-200
χ302-2-222-22002-2-2-22002i−2i0002i−2i0000000000000000−2i2i00-2200
χ312-2-222-22002-2-2-2200−2i2i000−2i2i00000000000000002i−2i00-2200
χ322-2-222-22002-2-2-2200−2i2i000−2i2i0000000000000000−2i2i002-200
χ332-2-222-2-2002-222-2002i−2i000−2i2i000000000000002-2002i−2i0000
χ342-2-222-2-2002-222-2002i−2i000−2i2i00000000000000-2200−2i2i0000
χ352-2-222-2-2002-222-200−2i2i0002i−2i000000000000002-200−2i2i0000
χ362-2-222-2-2002-222-200−2i2i0002i−2i00000000000000-22002i−2i0000
χ374444-4-404-4000000000000000020002-20-200000000000000
χ384444-4-404-40000000000000000-2000-220200000000000000
χ394444-4-40-4400000000000000002000-220-200000000000000
χ404444-4-40-440000000000000000-20002-20200000000000000
χ414-4-444-4400-44-44-4000000000000000000000000000000000
χ424-4-444-4-400-444-44000000000000000000000000000000000
χ4388-8-800000000000000000004i−4i0000000000000000000000
χ4488-8-80000000000000000000−4i4i0000000000000000000000
χ458-88-80000000000000004i−4i00000000000000000000000000
χ468-88-8000000000000000−4i4i00000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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