Finite Group Databasebeta

← Group #245352

Character table — Group #245352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444488888888888888161616161616161616161616161616161616163232
order12224424444422444444448888244444444888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11-11111-1-1-1-1-1-1-1111-1-1-1-1-1
χ31111111111111111111111-1-111-111-1-1-1111-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111-1-111-1-1-1-11111-11-1-1-1-11-1-1-1-1111111-1-11-1
χ611111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1111-111-11
χ711111111111111-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-11-1-1-11
χ811111111111111-1-111-1-1-1-1-1-1-1-11-1-1111-111-1-111-1-1-1-1111-1
χ9111111111111-1-111-1-111-1-111111-1-11-1-1-1-1-1-1-1111-1-1111-11
χ10111111111111-1-111-1-111-1-111-1-111-11-1-111111-1-11-1-1-1-1-11-1
χ11111111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-111-1-1-1111111-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-11-1-111111-1-111-111-1-1-1-11
χ13111111111111-1-1-1-1-1-1-1-1111111-1-11-111-11111111-1-11-1-1-1-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-111-1111-1-1-1-1-1-11-1-1-11111
χ15111111111111-1-1-1-1-1-1-1-111-1-1111-111-1-1-111-1-1-1-1-1111-1-111
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-11111-111-111-1-1
χ17222222-2-22-22-2002200-2-2002200200-2000000000-20000000
χ18222222-2-22-22-2002200-2-200-2-200-200200000000020000000
χ19222222-2-22-22-200-2-20022002200-2002000000000-20000000
χ20222222-2-22-22-200-2-2002200-2-200200-200000000020000000
χ21222222-2-2-22-222200-2-200000022020000-2000000000-20000
χ22222222-2-2-22-222200-2-2000000-2-20-20000200000000020000
χ23222222-2-2-22-22-2-20022000000220-200002000000000-20000
χ24222222-2-2-22-22-2-20022000000-2-2020000-200000000020000
χ252222-2-22-2-2-2222-22-22-22-222000000-2000000000000000000
χ262222-2-22-2-2-2222-2-222-2-22-2-20000002000000000000000000
χ272222-2-22-2-2-222-222-2-222-2-2-20000002000000000000000000
χ282222-2-22-2-2-222-22-22-22-2222000000-2000000000000000000
χ292222-2-2-222-2-222-200-220000000000000002-2000000002-200
χ302222-2-2-222-2-222-200-22000000000000000-2200000000-2200
χ312222-2-2-222-2-22-22002-20000000000000002-200000000-2200
χ322222-2-2-222-2-22-22002-2000000000000000-22000000002-200
χ332222-2-2-22-222-2002-200-2200000000002-2000000002-200000
χ342222-2-2-22-222-2002-200-220000000000-2200000000-2200000
χ352222-2-2-22-222-200-22002-200000000002-200000000-2200000
χ362222-2-2-22-222-200-22002-20000000000-22000000002-200000
χ3744444444-4-4-4-400000000000000000000000000000000000
χ384444-4-44-444-4-400000000000000000000000000000000000
χ3944-4-44-4000000000000000022−2222−22000000000002-200000000
χ4044-4-44-4000000000000000022−22−222200000000000-2200000000
χ4144-4-44-40000000000000000−222222−2200000000000-2200000000
χ4244-4-44-40000000000000000−2222−2222000000000002-200000000
χ4388-8-8-8800000000000000000000000000000000000000000
χ448-88-800000000000000000000000000000002i2−2i20000000000
χ458-88-80000000000000000000000000000000−2i22i20000000000
χ468-8-8800000000000000004i−4i0000000000000000000000000
χ478-8-880000000000000000−4i4i0000000000000000000000000

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