Finite Group Databasebeta

← Group #503021

Character table — Group #503021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444444444444444444444444444444888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11-1-111-11111-1-11111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ5111111111111111-1-1111111-1-1-11-111-111-1-11-1-1-1-1-1-1-1-1-111
χ6111111111111111-1-1111111-1-1-11-1-1-1-1-1-1-1-11-111111111-1-1
χ7111111111111111-1-111-1-1-1-111-1-1111111-1-1-11-1-1-1-11111-1-1
χ8111111111111111-1-111-1-1-1-111-1-11-1-11-1-1-1-1-111111-1-1-1-111
χ91111111111-1-111-111-1-1111111-1-111-1-11-11-1-1-111-1-111-1-11-1
χ101111111111-1-111-111-1-1111111-1-11-11-1-111-1-1-1-1-111-1-111-11
χ111111111111-1-111-111-1-1-1-1-1-1-1-1-11-11-111-11-11111-1-1-1-111-11
χ121111111111-1-111-111-1-1-1-1-1-1-1-1-11-1-111-111-111-1-11111-1-11-1
χ131111111111-1-111-1-1-1-1-11111-1-11-1-11-111-1-11-11-1-111-1-1111-1
χ141111111111-1-111-1-1-1-1-11111-1-11-1-1-111-11-11-1111-1-111-1-1-11
χ151111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1-11111-1-1-11
χ161111111111-1-111-1-1-1-1-1-1-1-1-111111-11-1-11-111-111-1-1-1-1111-1
χ172222222-2-2222-2-2-2002-222-2-2000200000000-200000000000
χ182222222-2-2222-2-2-2002-2-2-222000-200000000200000000000
χ192222222-2-22-2-2-2-2200-2222-2-2000-200000000200000000000
χ202222222-2-22-2-2-2-2200-22-2-222000200000000-200000000000
χ21222222-222-222-2-2-222-2200000020000000-2-2000000000000
χ22222222-222-222-2-2-2-2-2-22000000-2000000022000000000000
χ23222222-222-2-2-2-2-22222-2000000-20000000-22000000000000
χ24222222-222-2-2-2-2-22-2-22-2000000200000002-2000000000000
χ25222222-2-2-2-22222200-2-200002200-200-20000020000000000
χ26222222-2-2-2-22222200-2-20000-2-200200200000-20000000000
χ27222222-2-2-2-2-2-222-2002200002200-200200000-20000000000
χ28222222-2-2-2-2-2-222-200220000-2-200200-20000020000000000
χ2922-2-22-2-22-22002-2000002i−2i2i−2i00000000000000002i−2i002-200
χ3022-2-22-2-22-22002-2000002i−2i2i−2i0000000000000000−2i2i00-2200
χ3122-2-22-2-22-22002-200000−2i2i−2i2i00000000000000002i−2i00-2200
χ3222-2-22-2-22-22002-200000−2i2i−2i2i0000000000000000−2i2i002-200
χ3322-2-22-2-2-22200-22000002i−2i−2i2i000000000000002i−2i002-20000
χ3422-2-22-2-2-22200-22000002i−2i−2i2i00000000000000−2i2i00-220000
χ3522-2-22-2-2-22200-2200000−2i2i2i−2i000000000000002i−2i00-220000
χ3622-2-22-2-2-22200-2200000−2i2i2i−2i00000000000000−2i2i002-20000
χ374444-4-400004-40000000000000000220-2-200000000000000
χ384444-4-400004-40000000000000000-2-202200000000000000
χ394444-4-40000-4400000000000000002-20-2200000000000000
χ404444-4-40000-440000000000000000-2202-200000000000000
χ4144-4-44-444-4-400-44000000000000000000000000000000000
χ4244-4-44-44-44-4004-4000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-800000000000000000004-40000000000000000000000
χ458-88-80000000000000000000-440000000000000000000000
χ468-8-88000000000004i−4i000000000000000000000000000000
χ478-8-8800000000000−4i4i000000000000000000000000000000

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