Finite Group Databasebeta

← Group #502690

Character table — Group #502690

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444244444444442444444444444444444488
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-11-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-111-1-1-1-111-1-11111-11-1-11111-1-1-1-1-1-1
χ411111111111111111-1-111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-1111111
χ5111111111111111-1-11111-1-111111-11-11-1-1-11-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-11111-1-111-1-11-1-1-1-1-1-1-11-111111111-1-1
χ7111111111111111-1-1-1-11111-1-111-111-11-11-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-11111-1-1-1-1-11-1-1-1-11-1-111111-1-1-1-111
χ91111111111-1-111-11111-1-111111-1-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111-1-111-11111-1-11111-11-1-11-1-1-111-1-1-1-111-1-111-11
χ111111111111-1-111-111-1-1-1-1-1-1-1-11-111-1-11-1-111111-1-1-1-111-11
χ121111111111-1-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-1-11-1
χ131111111111-1-111-1-1-111-1-1-1-1111-1-11-1111-1-1-11-1-111-1-1111-1
χ141111111111-1-111-1-1-111-1-1-1-111-11-1111-11-1-1-1111-1-111-1-1-11
χ151111111111-1-111-1-1-1-1-1-1-111-1-11-11-1-11111-11-1-1-11111-1-1-11
χ161111111111-1-111-1-1-1-1-1-1-111-1-1-111-111-111-11-111-1-1-1-1111-1
χ172222222-22-222-2-2-200002-2220000020000-200-20000000000
χ182222222-22-222-2-2-200002-2-2-200000-2000020020000000000
χ192222222-22-2-2-2-2-220000-222200000-20000-20020000000000
χ202222222-22-2-2-2-2-220000-22-2-20000020000200-20000000000
χ21222222-22-2222-2-2-22200-2200000000020-20-2000000000000
χ22222222-22-2222-2-2-2-2-200-22000000000-20202000000000000
χ23222222-22-22-2-2-2-2222002-2000000000-2020-2000000000000
χ24222222-22-22-2-2-2-22-2-2002-200000000020-202000000000000
χ25222222-2-2-2-2222220022-2-200-2-20020000000-200000000000
χ26222222-2-2-2-22222200-2-2-2-2002200-20000000200000000000
χ27222222-2-2-2-2-2-222-200222200-2-200-20000000200000000000
χ28222222-2-2-2-2-2-222-200-2-22200220020000000-200000000000
χ292-2-222-22-2-22002-20002i−2i00002i−2i000000000000002-2002i−2i00
χ302-2-222-22-2-22002-20002i−2i00002i−2i00000000000000-2200−2i2i00
χ312-2-222-22-2-22002-2000−2i2i0000−2i2i000000000000002-200−2i2i00
χ322-2-222-22-2-22002-2000−2i2i0000−2i2i00000000000000-22002i−2i00
χ332-2-222-2-222-2002-20002i−2i0000−2i2i0000000000002i−2i002-20000
χ342-2-222-2-222-2002-20002i−2i0000−2i2i000000000000−2i2i00-220000
χ352-2-222-2-222-2002-2000−2i2i00002i−2i0000000000002i−2i00-220000
χ362-2-222-2-222-2002-2000−2i2i00002i−2i000000000000−2i2i002-20000
χ374444-4-400004-400000000000002200-20-2000000000000000
χ384444-4-400004-40000000000000-2-200202000000000000000
χ394444-4-40000-4400000000000002-20020-2000000000000000
χ404444-4-40000-440000000000000-2200-202000000000000000
χ414-4-444-444-4-400-44000000000000000000000000000000000
χ424-4-444-4-4-44400-44000000000000000000000000000000000
χ4388-8-8000000000004-4000000000000000000000000000000
χ4488-8-800000000000-44000000000000000000000000000000
χ458-88-8000000000000000004i−4i000000000000000000000000
χ468-88-800000000000000000−4i4i000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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