Finite Group Databasebeta

← Group #486232

Character table — Group #486232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222244444444244444444442444444444448888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-11-11-111-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1111-11-111-111-11-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-11-11-1-1-1-1-1111111
χ5111111111111111-1-11111-1-1111-11-11-111-1-1-11-1-1-1-1-1-1-1-111
χ6111111111111111-1-11111-1-111-1-1-1-1-1-11-1-1-1-1111111111-1-1
χ7111111111111111-1-1-1-1-1-1111111111-1-11-11-1-1-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-1-11111-11-11-1-1-1-1-11-1-11111-1-1-1-111
χ9111111-1-1-1-1-1-111-11111-1-1-1-11111-1-11-1-1-1-111111-1-111-1-11-1
χ10111111-1-1-1-1-1-111-11111-1-1-1-111-111-1-1-1-11-1111-1-111-1-111-11
χ11111111-1-1-1-1-1-111-111-1-11111111-1-111-11-1-1-11-111-1-1-1-111-11
χ12111111-1-1-1-1-1-111-111-1-1111111-1-111-1-111-1-11-1-1-11111-1-11-1
χ13111111-1-1-1-1-1-111-1-1-111-1-111111-1-1111-1-11-1-11-1-111-1-1111-1
χ14111111-1-1-1-1-1-111-1-1-111-1-11111-1-111-11-111-1-1111-1-111-1-1-11
χ15111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1111-111-1-1-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-111-1-111-111-1-111111-1-111-1-1-1-1111-1
χ172222222222-2-222-200222200-2-2000000-20000-20000000000
χ182222222222-2-222-200-2-2-2-200-2-20000002000020000000000
χ1922222222-2-222-2-2-2000000222-20-20-2000002000000000000
χ2022222222-2-222-2-2-2000000-2-22-2020200000-2000000000000
χ2122222222-2-2-2-2-2-2222000000-2200000-20020-200000000000
χ2222222222-2-2-2-2-2-22-2-2000000-2200000200-20200000000000
χ23222222-2-22222-2-2-222000000-2200000200-20-200000000000
χ24222222-2-22222-2-2-2-2-2000000-2200000-20020200000000000
χ25222222-2-222-2-2-2-22000000222-2020-200000-2000000000000
χ26222222-2-222-2-2-2-22000000-2-22-20-202000002000000000000
χ27222222-2-2-2-2222220022-2-200-2-200000020000-20000000000
χ28222222-2-2-2-22222200-2-22200-2-2000000-2000020000000000
χ292-22-2-222i−2i2i−2i002-20002i−2i2-200000000000000002−2i2−i2i2−i22−200
χ302-22-2-222i−2i2i−2i002-20002i−2i2-20000000000000000−22−i2i2−i2i2−2200
χ312-22-2-222i−2i2i−2i002-2000−2i2i-2200000000000000002−2i2−i2−i2i2−2200
χ322-22-2-222i−2i2i−2i002-2000−2i2i-220000000000000000−22−i2i2i2−i22−200
χ332-22-2-22−2i2i−2i2i002-20002i−2i-2200000000000000002−2−i2i2i2−i2−2200
χ342-22-2-22−2i2i−2i2i002-20002i−2i-220000000000000000−22i2−i2−i2i22−200
χ352-22-2-22−2i2i−2i2i002-2000−2i2i2-200000000000000002−2−i2i2−i2i22−200
χ362-22-2-22−2i2i−2i2i002-2000−2i2i2-20000000000000000−22i2−i2i2−i2−2200
χ374444-4-400004-400000000000002020-200-200000000000000
χ384444-4-400004-40000000000000-20-20200200000000000000
χ394444-4-40000-44000000000000020-20-200200000000000000
χ404444-4-40000-440000000000000-2020200-200000000000000
χ414-44-4-444i−4i−4i4i00-44000000000000000000000000000000000
χ424-44-4-44−4i4i4i−4i00-44000000000000000000000000000000000
χ4388-8-8000000000000000004-4000000000000000000000000
χ4488-8-800000000000000000-44000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-88000000000004i−4i000000000000000000000000000000
χ478-8-8800000000000−4i4i000000000000000000000000000000

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