Finite Group Databasebeta

← Group #244643

Character table — Group #244643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444888888888888888816161616161616161616161616161616323232
order12224424444422224444444488882224444444888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-111-11-111-1-1-1111-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1111-11-111-11-1-1-1-1-1111-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1111
χ511111111111111-1-111-1-11111-1-1-1-1-1111-1-11-111-1-1-111-1-11-1
χ611111111111111-1-111-1-111-1-1-1-111-11-111-111-1-1-1-1-1-1-111-11
χ711111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-111111-11-11
χ811111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-11-11-1
χ9111111111111-1-111-1-1111111-1-1-1-1-111-11-1-111111-1-1-1-1-1-11
χ10111111111111-1-111-1-11111-1-1-1-111-11-1-1-1-1-1-1-1-111-111111-1
χ11111111111111-1-111-1-111-1-11111-1-1-1-1111-111-1-1-1-11-1-1-111-1
χ12111111111111-1-111-1-111-1-1-1-11111-1-1-11-1-11-111-1-11111-1-11
χ13111111111111-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-11-1-111-1-1
χ14111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-1-1-1-1111-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-111-111-1-1-111-1-1-11-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-111-11-1-1
χ17222222-2-22-22-2002200-2-200002200000-200200000-2000000
χ18222222-2-22-22-2002200-2-20000-2-200000200-2000002000000
χ19222222-2-22-22-200-2-2002200002200000200-200000-2000000
χ20222222-2-22-22-200-2-200220000-2-200000-2002000002000000
χ21222222-2-2-22-222200-2-200000000220000-20020000000-2000
χ22222222-2-2-22-222200-2-200000000-2-20000200-200000002000
χ23222222-2-2-22-22-2-2002200000000220000200-20000000-2000
χ24222222-2-2-22-22-2-2002200000000-2-20000-200200000002000
χ252222-2-22-22-2-222-2002-2000022000000-200000000002-20000
χ262222-2-22-22-2-222-2002-20000-2-200000020000000000-220000
χ272222-2-22-22-2-22-2200-22000022000000-20000000000-220000
χ282222-2-22-22-2-22-2200-220000-2-2000000200000000002-20000
χ292222-2-22-2-222-2002-2002-2220000000-2000000002-20000000
χ302222-2-22-2-222-2002-2002-2-2-20000000200000000-220000000
χ312222-2-22-2-222-200-2200-22220000000-200000000-220000000
χ322222-2-22-2-222-200-2200-22-2-200000002000000002-20000000
χ332222-2-2-22-2-2222-22-2-22-220000000020000-20000000000000
χ342222-2-2-22-2-2222-2-22-222-200000000-2000020000000000000
χ352222-2-2-22-2-222-222-22-2-2200000000-2000020000000000000
χ362222-2-2-22-2-222-22-222-22-20000000020000-20000000000000
χ3744444444-4-4-4-400000000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000000
χ394-4-44-4400000000000000000022−2222−22000000002-2000000000
χ404-4-44-4400000000000000000022−22−222200000000-22000000000
χ414-4-44-44000000000000000000−222222−2200000000-22000000000
χ424-4-44-44000000000000000000−2222−2222000000002-2000000000
χ4388-8-80000000000000000004i−4i00000000000000000000000
χ4488-8-8000000000000000000−4i4i00000000000000000000000
χ458-88-800000000000000004i−4i0000000000000000000000000
χ468-88-80000000000000000−4i4i0000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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