Finite Group Databasebeta

← Group #244641

Character table — Group #244641

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444888888888888888816161616161616161616161616161616323232
order12224424444422444444444488882222444444888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-1111-11-11-1-1-1111-1-1-1-1-1-1
χ31111111111111111-1-1111111-1-1111-1-11-1111-1-1-1-1-1111-1-1-1
χ41111111111111111-1-11111-1-1-1-1-1-11-1-1-1-1-11-111-1-1-1-1-1-1111
χ511111111111111-1-11111-1-111-1-1-1-1-11-11-11-111111-1-1-1-1-11-1
χ611111111111111-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111-11111-11
χ711111111111111-1-1-1-111-1-11111-1-1-1-11111-11-1-1-1-11-1-1-11-11
χ811111111111111-1-1-1-111-1-1-1-11111-1-11-11-1-1-111-1-11111-11-1
χ9111111111111-1-11111-1-11111-1-1-1-1-111-111-1-111-1-1-111-1-1-11
χ10111111111111-1-11111-1-111-1-1-1-111-11111-1-11-1-1-1-1-1-1-1111-1
χ11111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111111-111-1
χ12111111111111-1-111-1-1-1-111-1-11111-1-1-11-1-1-1111111-1-11-1-11
χ13111111111111-1-1-1-111-1-1-1-111111111-1-1-111-111-1-11-1-111-1-1
χ14111111111111-1-1-1-111-1-1-1-1-1-111-1-111-11-1-111-1-1-1-1111-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1111-1-1-111-1-1-11-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1111111-111-11-1-1
χ17222222-2-22-2-2200220000-2-2000022000-200020000000-2000
χ18222222-2-22-2-2200220000-2-20000-2-20002000-200000002000
χ19222222-2-22-2-2200-2-20000220000220002000-20000000-2000
χ20222222-2-22-2-2200-2-20000220000-2-2000-2000200000002000
χ21222222-2-2-222-2220000-2-2000022000020-20000000-2000000
χ22222222-2-2-222-2220000-2-20000-2-20000-20200000002000000
χ23222222-2-2-222-2-2-20000220000220000-2020000000-2000000
χ24222222-2-2-222-2-2-20000220000-2-2000020-200000002000000
χ252222-2-22-22-22-22-200222-2000000000-2000000002-20000000
χ262222-2-22-22-22-22-200-2-22-2000000000200000000-220000000
χ272222-2-22-22-22-2-220022-22000000000-200000000-220000000
χ282222-2-22-22-22-2-2200-2-2-220000000002000000002-20000000
χ292222-2-22-2-22-22002-200002-222000000000-200000002-20000
χ302222-2-22-2-22-22002-200002-2-2-200000000020000000-220000
χ312222-2-22-2-22-2200-220000-2222000000000-20000000-220000
χ322222-2-22-2-22-2200-220000-22-2-2000000000200000002-20000
χ332222-2-2-22-2-2222-22-200-22-22000000200000-2000000000000
χ342222-2-2-22-2-2222-2-2200-222-2000000-2000002000000000000
χ352222-2-2-22-2-222-222-2002-2-22000000-2000002000000000000
χ362222-2-2-22-2-222-22-22002-22-2000000200000-2000000000000
χ3744444444-4-4-4-400000000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000000
χ394-44-44-400000000000000000022−222i2−2i2000000002i−2i000000000
χ404-44-44-400000000000000000022−22−2i22i200000000−2i2i000000000
χ414-44-44-4000000000000000000−22222i2−2i200000000−2i2i000000000
χ424-44-44-4000000000000000000−2222−2i22i2000000002i−2i000000000
χ4388-8-80000000000004i−4i00000000000000000000000000000
χ4488-8-8000000000000−4i4i00000000000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-880000000000000000004-400000000000000000000000
χ478-8-88000000000000000000-4400000000000000000000000

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