Finite Group Databasebeta

← Group #244608

Character table — Group #244608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444888888888888888816161616161616161616161616161616323232
order12224424444422224444444488882444444444888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-1-11-11111-1-1-1111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-11-11-1-11-111111-1-1-1-1-11-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111-11111-11
χ511111111111111-1-111111111-1-1111111-1-1-11-1-1-1-1-1111-1-1-1
χ611111111111111-1-1111111-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1111
χ711111111111111-1-111-1-1-1-11111-1-11-11-11-111-1-1-1-11-1-1-11-11
χ811111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-11111-11-1
χ9111111111111-1-111-1-1111111-1-1-1-11-1-1-1111-111-1-1-111-1-1-11
χ10111111111111-1-111-1-11111-1-1-1-111-1-11-11111-1-1-1-1-1-1-1111-1
χ11111111111111-1-111-1-1-1-1-1-111111111-11-11-1-111-1-11-1-111-1-1
χ12111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1111-11-11-1-1-1-1111-1-111
χ13111111111111-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-111111-111-1
χ14111111111111-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1111111-1-11-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-111-11-1-1-111-1-1-11-111
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-111-11-1-1
χ17222222-2-22-2-2200000022-2-200002200-2000020000000-2000
χ18222222-2-22-2-2200000022-2-20000-2-20020000-200000002000
χ19222222-2-22-2-22000000-2-2220000220020000-20000000-2000
χ20222222-2-22-2-22000000-2-2220000-2-200-20000200000002000
χ21222222-2-2-222-22200-2-20000002200000020-200000-2000000
χ22222222-2-2-222-22200-2-2000000-2-2000000-202000002000000
χ23222222-2-2-222-2-2-2002200000022000000-20200000-2000000
χ24222222-2-2-222-2-2-20022000000-2-200000020-2000002000000
χ252222-2-22-22-22-22-2222-2000000000000000-200002-20000000
χ262222-2-22-22-22-22-2-2-22-200000000000000020000-220000000
χ272222-2-22-22-22-2-2222-22000000000000000-20000-220000000
χ282222-2-22-22-22-2-22-2-2-22000000000000000200002-20000000
χ292222-2-22-2-22-220000002-22-2220000-20000000000002-20000
χ302222-2-22-2-22-220000002-22-2-2-200002000000000000-220000
χ312222-2-22-2-22-22000000-22-22220000-2000000000000-220000
χ322222-2-22-2-22-22000000-22-22-2-2000020000000000002-20000
χ332222-2-2-22-2-2222-200-222-2-22000000020-2000000000000000
χ342222-2-2-22-2-2222-200-22-222-20000000-202000000000000000
χ352222-2-2-22-2-222-22002-22-2-220000000-202000000000000000
χ362222-2-2-22-2-222-22002-2-222-2000000020-2000000000000000
χ3744444444-4-4-4-400000000000000000000000000000000000
χ384444-4-4-4444-4-400000000000000000000000000000000000
χ394-4-444-40000000000000000002i2−2i22i2−2i2000000002-2000000000
χ404-4-444-40000000000000000002i2−2i2−2i22i200000000-22000000000
χ414-4-444-4000000000000000000−2i22i22i2−2i200000000-22000000000
χ424-4-444-4000000000000000000−2i22i2−2i22i2000000002-2000000000
χ4388-8-800000000004-40000000000000000000000000000000
χ4488-8-80000000000-440000000000000000000000000000000
χ458-88-80000000000000000004i−4i00000000000000000000000
χ468-88-8000000000000000000−4i4i00000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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