Finite Group Databasebeta

← Group #502725

Character table — Group #502725

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222222244224444444442224444444444444888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111-1-1111-111-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11-1-111111111-1-1
χ511111111111111111-1-111-1-1-1-11-111-1-1111-11-11111-1-1-1-1-1-1
χ611111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-11-11-1-1-1-1-1111111
χ711111111111111111-1-1-1-111-1-1-1111-1111-1-1-11-1-1-1-11111-1-1
χ811111111111111111-1-1-1-111-1-1-11-1-1-11-1-1-1-1-111111-1-1-1-111
χ91111111-1-111111-1-1-111111111-1111-1-1-1-1-1-11-111-1-111-1-11-1
χ101111111-1-111111-1-1-111111111-11-1-1-1-111-1-11-1-1-111-1-111-11
χ111111111-1-111111-1-1-111-1-1-1-1111-111-11-1-11-1-11-1-111-1-1111-1
χ121111111-1-111111-1-1-111-1-1-1-1111-1-1-1-11111-1-1111-1-111-1-1-11
χ131111111-1-111111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-1-1-111-11
χ141111111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-11111-1-11-1
χ151111111-1-111111-1-1-1-1-1-1-111-1-111111-1-1-111-1-1-1-11111-1-1-11
χ161111111-1-111111-1-1-1-1-1-1-111-1-111-1-11-11111-1-111-1-1-1-1111-1
χ17222222222-2-22-2-22-2-20022000020000000-20-200000000000
χ18222222222-2-22-2-22-2-200-2-20000-2000000020200000000000
χ192222222-2-2-2-22-2-2-22200220000-2000000020-200000000000
χ202222222-2-2-2-22-2-2-22200-2-2000020000000-20200000000000
χ21222222-22222-2-2-2-22-2220000-2-2000020000-2000000000000
χ22222222-22222-2-2-2-22-2-2-20000220000-200002000000000000
χ23222222-222-2-2-222-2-22000022000-2000-20000020000000000
χ24222222-222-2-2-222-2-220000-2-20002000200000-20000000000
χ25222222-2-2-222-2-2-22-22220000-2-20000-200002000000000000
χ26222222-2-2-222-2-2-22-22-2-2000022000020000-2000000000000
χ27222222-2-2-2-2-2-22222-2000022000-2000200000-20000000000
χ28222222-2-2-2-2-2-22222-20000-2-20002000-20000020000000000
χ2922-2-22-22002-2-2-220002i−2i00002i−2i0000000000002i−2i002-20000
χ3022-2-22-22002-2-2-220002i−2i00002i−2i000000000000−2i2i00-220000
χ3122-2-22-22002-2-2-22000−2i2i0000−2i2i0000000000002i−2i00-220000
χ3222-2-22-22002-2-2-22000−2i2i0000−2i2i000000000000−2i2i002-20000
χ3322-2-22-2-2002-222-20002i−2i0000−2i2i000000000000002-2002i−2i00
χ3422-2-22-2-2002-222-20002i−2i0000−2i2i00000000000000-2200−2i2i00
χ3522-2-22-2-2002-222-2000−2i2i00002i−2i000000000000002-200−2i2i00
χ3622-2-22-2-2002-222-2000−2i2i00002i−2i00000000000000-22002i−2i00
χ374444-4-404-40000000000000000002-2002-200000000000000
χ384444-4-404-4000000000000000000-2200-2200000000000000
χ394444-4-40-440000000000000000002-200-2200000000000000
χ404444-4-40-44000000000000000000-22002-200000000000000
χ4144-4-44-4400-44-44-4000000000000000000000000000000000
χ4244-4-44-4-400-444-44000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-80000000000000004-400000000000000000000000000
χ458-88-8000000000000000-4400000000000000000000000000
χ468-8-88000000000000000004-4000000000000000000000000
χ478-8-8800000000000000000-44000000000000000000000000

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