Finite Group Databasebeta

← Group #503609

Character table — Group #503609

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444444444444442244444444444444888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-111-1-1-1-111111-1-1-111-1-11111-1-1-1-1-1-1
χ411111111111111111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1111111
χ5111111111111111-1-1111111-1-11111-11-1-1-1-11-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-1111111-1-1-1-1-1-1-11-1-1-1-11-111111111-1-1
χ7111111111111111-1-1-1-111-1-1111111-1-111-1-1-11-1-1-1-11111-1-1
χ8111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ91111111111-1-111-11111-1-111111-11-1-1-11-11-1-1-111-1-111-1-11-1
χ101111111111-1-111-11111-1-11111-11-11-1-11-11-1-1-1-1-111-1-111-11
χ111111111111-1-111-111-1-1-1-1-1-1-1-11-11-1-11-111-11111-1-1-1-111-11
χ121111111111-1-111-111-1-1-1-1-1-1-1-1-11-11-11-111-111-1-11111-1-11-1
χ131111111111-1-111-1-1-111-1-111-1-11-11-11-1-11-11-11-1-111-1-1111-1
χ141111111111-1-111-1-1-111-1-111-1-1-11-111-1-11-11-1111-1-111-1-1-11
χ151111111111-1-111-1-1-1-1-1-1-1-1-1111-11-1111-1-111-1-1-11111-1-1-11
χ161111111111-1-111-1-1-1-1-1-1-1-1-111-11-11111-1-111-111-1-1-1-1111-1
χ172222222-2-2222-2-2-200222-2-2-2000000020000-200000000000
χ182222222-2-2222-2-2-200-2-22-2220000000-20000200000000000
χ192222222-2-22-2-2-2-220022-22-2-20000000-20000200000000000
χ202222222-2-22-2-2-2-2200-2-2-2222000000020000-200000000000
χ21222222-222-222-2-2-22200-22000000002000-2-2000000000000
χ22222222-222-222-2-2-2-2-200-2200000000-200022000000000000
χ23222222-222-2-2-2-2-2222002-200000000-2000-22000000000000
χ24222222-222-2-2-2-2-22-2-2002-20000000020002-2000000000000
χ25222222-2-2-2-2222220000-2-20022000000-2-200020000000000
χ26222222-2-2-2-2222220000-2-200-2-200000022000-20000000000
χ27222222-2-2-2-2-2-222-20000220022000000-22000-20000000000
χ28222222-2-2-2-2-2-222-200002200-2-20000002-200020000000000
χ292-22-22-2-22-22002-20002-2002-200000000000000002i−2i002i−2i00
χ302-22-22-2-22-22002-20002-2002-20000000000000000−2i2i00−2i2i00
χ312-22-22-2-22-22002-2000-2200-2200000000000000002i−2i00−2i2i00
χ322-22-22-2-22-22002-2000-2200-220000000000000000−2i2i002i−2i00
χ332-22-22-2-2-22200-220002-200-22000000000000002i−2i002i−2i0000
χ342-22-22-2-2-22200-220002-200-2200000000000000−2i2i00−2i2i0000
χ352-22-22-2-2-22200-22000-22002-2000000000000002i−2i00−2i2i0000
χ362-22-22-2-2-22200-22000-22002-200000000000000−2i2i002i−2i0000
χ374444-4-400004-4000000000000022-2-2000000000000000000
χ384444-4-400004-40000000000000-2-222000000000000000000
χ394444-4-40000-4400000000000002-2-22000000000000000000
χ404444-4-40000-440000000000000-222-2000000000000000000
χ414-44-44-444-4-400-44000000000000000000000000000000000
χ424-44-44-44-44-4004-4000000000000000000000000000000000
χ4388-8-8000000000004-4000000000000000000000000000000
χ4488-8-800000000000-44000000000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-8800000000000000000004-40000000000000000000000
χ478-8-880000000000000000000-440000000000000000000000

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