Finite Group Databasebeta

← Group #486408

Character table — Group #486408

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222224444224444444442244444444448888888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1111-11-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-111111111-1-1
χ511111111111111-1-1111-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1111-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-11-1-111-1-11111-111-11-1-1-111-1-1-1-11111-1-1
χ811111111111111-1-11-1-111-1-111-1-1-1-1-1-11-1-1-1111111-1-1-1-111
χ91111111-1-11-1-1-1-111-11111-1-1111-1-11-1-1-111-11-111-1-111-1-11-1
χ101111111-1-11-1-1-1-111-11111-1-111-11-1-11-1-111-11-1-1-111-1-111-11
χ111111111-1-11-1-1-1-111-1-1-1-1-1-1-1111-111-1-111-11-11-1-111-1-1111-1
χ121111111-1-11-1-1-1-111-1-1-1-1-1-1-111-111-11-111-11-1111-1-111-1-1-11
χ131111111-1-11-1-1-1-1-1-1-111-1-111111-1-11-111-11-1-1111-1-1-1-111-11
χ141111111-1-11-1-1-1-1-1-1-111-1-11111-11-1-1111-11-1-11-1-11111-1-11-1
χ151111111-1-11-1-1-1-1-1-1-1-1-11111111-111-11-1-1-111-1-1-11111-1-1-11
χ161111111-1-11-1-1-1-1-1-1-1-1-1111111-111-111-1-1-111-111-1-1-1-1111-1
χ17222222222222-2-222-2000022-2-200000-20-200000000000000
χ18222222222222-2-2-2-2-20000-2-2-2-20000020200000000000000
χ192222222-2-22-2-2222220000-2-2-2-20000020-200000000000000
χ202222222-2-22-2-222-2-22000022-2-200000-20200000000000000
χ21222222-222-2-2-22200-20022002-20000002000-2-20000000000
χ22222222-222-2-2-22200-200-2-2002-2000000-2000220000000000
χ23222222-222-2-2-2-2-2002220000-2200-200000-22000000000000
χ24222222-222-2-2-2-2-2002-2-20000-22002000002-2000000000000
χ25222222-2-2-2-2222200-2220000-2200200000-2-2000000000000
χ26222222-2-2-2-2222200-2-2-20000-2200-20000022000000000000
χ27222222-2-2-2-222-2-20020022002-2000000-2000-220000000000
χ28222222-2-2-2-222-2-200200-2-2002-200000020002-20000000000
χ2922-2-22-2-22-222-2002-2000002-200000000000000i2−i2i2−i2i2−i2i2−i200
χ3022-2-22-2-22-222-2002-2000002-200000000000000−i2i2−i2i2−i2i2−i2i200
χ3122-2-22-2-22-222-200-2200000-2200000000000000i2−i2i2−i2−i2i2−i2i200
χ3222-2-22-2-22-222-200-2200000-2200000000000000−i2i2−i2i2i2−i2i2−i200
χ3322-2-22-2-2-222-22002-200000-2200000000000000i2−i2−i2i2i2−i2−i2i200
χ3422-2-22-2-2-222-22002-200000-2200000000000000−i2i2i2−i2−i2i2i2−i200
χ3522-2-22-2-2-222-2200-22000002-200000000000000i2−i2−i2i2−i2i2i2−i200
χ3622-2-22-2-2-222-2200-22000002-200000000000000−i2i2i2−i2i2−i2−i2i200
χ374444-4-40000004-400000000000220-2-200000000000000000
χ384444-4-40000004-400000000000-2-202200000000000000000
χ394444-4-4000000-44000000000002-20-2200000000000000000
χ404444-4-4000000-4400000000000-2202-200000000000000000
χ4144-4-44-444-4-4-4400000000000000000000000000000000000
χ4244-4-44-44-44-44-400000000000000000000000000000000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-80000000000000004i−4i00000000000000000000000000
χ458-88-8000000000000000−4i4i00000000000000000000000000
χ468-8-8800000000000004-40000000000000000000000000000
χ478-8-880000000000000-440000000000000000000000000000

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