Finite Group Databasebeta

← Group #486216

Character table — Group #486216

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444444444444442444444444448888888844
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-111-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1111111-1-111-11-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-11-1-1-1-11-11-1-1-1-1-1-1111111
χ511111111111111-1-1111-1-1-1-11111-111-11-11-11-1-1-1-1-11111-1-1
χ611111111111111-1-1111-1-1-1-111-1-1-1-11-1-1-11-11-11111-1-1-1-111
χ711111111111111-1-11-1-111111111-11-111-1-1-1-11-1-1-1-1-1-1-1-111
χ811111111111111-1-11-1-1111111-1-1-1-1-11-1-1-1-1-1111111111-1-1
χ911111111-1-1-1-1-1-111-11111-1-1111-1-11-1-1-11-1-11111-1-111-1-11-1
χ1011111111-1-1-1-1-1-111-11111-1-111-11-1-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-111-1-1-1-1-111111-1-1111-111-1-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-111-1-1-1-1-11111-11-1-111111-1-1-1-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1-1-1-111-1-111111-111-11-1-1-111-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1-1-1-111-1-11111-111-1-111-1-111-111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-111-1-1111-1111-1-1-111-11-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11-11-111-1111-1-111-1-1-11
χ172222222222-2-22200-2002222-2-200000-200000-20000000000
χ182222222222-2-22200-200-2-2-2-2-2-20000020000020000000000
χ1922222222-2-222-2-20020022-2-2-2-200000200000-20000000000
χ2022222222-2-222-2-200200-2-222-2-200000-20000020000000000
χ21222222-2-22222-2-200-2220000-2200002000-20-200000000000
χ22222222-2-22222-2-200-2-2-20000-220000-200020200000000000
χ23222222-2-222-2-2-2-22220000002-200-20000-202000000000000
χ24222222-2-222-2-2-2-2-2-220000002-2002000020-2000000000000
χ25222222-2-2-2-2222222-20000002-20020000-20-2000000000000
χ26222222-2-2-2-22222-2-2-20000002-200-20000202000000000000
χ27222222-2-2-2-2-2-222002220000-220000-200020-200000000000
χ28222222-2-2-2-2-2-222002-2-20000-2200002000-20200000000000
χ292-22-2-222-22i−2i002i−2i000002i−2i2-200000000000000i2−i22−22−2i2−i200
χ302-22-2-222-22i−2i002i−2i000002i−2i2-200000000000000−i2i2−22−22−i2i200
χ312-22-2-222-22i−2i002i−2i00000−2i2i-2200000000000000i2−i22−2−22−i2i200
χ322-22-2-222-22i−2i002i−2i00000−2i2i-2200000000000000−i2i2−222−2i2−i200
χ332-22-2-222-2−2i2i00−2i2i000002i−2i-2200000000000000i2−i2−222−2−i2i200
χ342-22-2-222-2−2i2i00−2i2i000002i−2i-2200000000000000−i2i22−2−22i2−i200
χ352-22-2-222-2−2i2i00−2i2i00000−2i2i2-200000000000000i2−i2−22−22i2−i200
χ362-22-2-222-2−2i2i00−2i2i00000−2i2i2-200000000000000−i2i22−22−2−i2i200
χ374444-4-400004-40000000000000220-200-2000000000000000
χ384444-4-400004-40000000000000-2-202002000000000000000
χ394444-4-40000-4400000000000002-20-2002000000000000000
χ404444-4-40000-440000000000000-220200-2000000000000000
χ414-44-4-44-444i−4i00−4i4i000000000000000000000000000000000
χ424-44-4-44-44−4i4i004i−4i000000000000000000000000000000000
χ4388-8-800000000004-40000000000000000000000000000000
χ4488-8-80000000000-440000000000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-8800000000000004i−4i0000000000000000000000000000
χ478-8-880000000000000−4i4i0000000000000000000000000000

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