Finite Group Databasebeta

← Group #486239

Character table — Group #486239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444444444444442444444444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-111-11-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1111-111-11-1111-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1111111
χ511111111111111-1-1111-1-11111111-1-11-11-1-11-1-1-1-1-1-1-1-1-111
χ611111111111111-1-1111-1-11111-11-1-1-1-1-1-1-1-11-111111111-1-1
χ711111111111111-1-11-1-111-1-1111-11-11111-1-1-11-1-1-1-11111-1-1
χ811111111111111-1-11-1-111-1-111-1-1-1-11-11-1-1-1-111111-1-1-1-111
χ9111111-1-1-1-1-1-11111-111-1-1-1-1111-1-1-111-1-11-11111-1-111-1-11-1
χ10111111-1-1-1-1-1-11111-111-1-1-1-111-1-11-11-1-111-111-1-111-1-111-11
χ11111111-1-1-1-1-1-11111-1-1-111111111-1-1-111-11-1-1-111-1-1-1-111-11
χ12111111-1-1-1-1-1-11111-1-1-1111111-111-1-1-1111-1-1-1-1-11111-1-11-1
χ13111111-1-1-1-1-1-111-1-1-11111-1-1111-1-11-111-1-111-1-1-111-1-1111-1
χ14111111-1-1-1-1-1-111-1-1-11111-1-111-1-111-1-111-111-111-1-111-1-1-11
χ15111111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1111-1-1-11-11-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-11111-1-11-11-1111-1-1-1-1111-1
χ172222222222-2-2-2-200-20022002-20000-20-2000020000000000
χ182222222222-2-2-2-200-200-2-2002-200002020000-20000000000
χ1922222222-2-222-2-222-2000000-2200020000-2-2000000000000
χ2022222222-2-222-2-2-2-2-2000000-22000-2000022000000000000
χ2122222222-2-2-2-2220022200-2-2-2-20200000000-200000000000
χ2222222222-2-2-2-222002-2-20022-2-20-200000000200000000000
χ23222222-2-222222200-2220022-2-20-200000000-200000000000
χ24222222-2-222222200-2-2-200-2-2-2-20200000000200000000000
χ25222222-2-222-2-2-2-2222000000-22000-20000-22000000000000
χ26222222-2-222-2-2-2-2-2-22000000-22000200002-2000000000000
χ27222222-2-2-2-222-2-20020022002-2000020-20000-20000000000
χ28222222-2-2-2-222-2-200200-2-2002-20000-202000020000000000
χ292-22-2-22002i−2i2i−2i2-20002i−2i002-200000000000000i2−i22−22−2i2−i200
χ302-22-2-22002i−2i2i−2i2-20002i−2i002-200000000000000−i2i2−22−22−i2i200
χ312-22-2-22002i−2i2i−2i2-2000−2i2i00-2200000000000000i2−i22−2−22−i2i200
χ322-22-2-22002i−2i2i−2i2-2000−2i2i00-2200000000000000−i2i2−222−2i2−i200
χ332-22-2-2200−2i2i−2i2i2-20002i−2i00-2200000000000000i2−i2−222−2−i2i200
χ342-22-2-2200−2i2i−2i2i2-20002i−2i00-2200000000000000−i2i22−2−22i2−i200
χ352-22-2-2200−2i2i−2i2i2-2000−2i2i002-200000000000000i2−i2−22−22i2−i200
χ362-22-2-2200−2i2i−2i2i2-2000−2i2i002-200000000000000−i2i22−22−2−i2i200
χ374444-4-44-40000000000000000020200-20-200000000000000
χ384444-4-44-400000000000000000-20-20020200000000000000
χ394444-4-4-440000000000000000020-200-20200000000000000
χ404444-4-4-4400000000000000000-2020020-200000000000000
χ414-44-4-44004i−4i−4i4i-44000000000000000000000000000000000
χ424-44-4-4400−4i4i4i−4i-44000000000000000000000000000000000
χ4388-8-80000000000000004-400000000000000000000000000
χ4488-8-8000000000000000-4400000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-8800000000004i−4i0000000000000000000000000000000
χ478-8-880000000000−4i4i0000000000000000000000000000000

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