Finite Group Databasebeta

← Group #245372

Character table — Group #245372

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444488888888888888161616161616161616161616161616161616163232
order12224424444422444444448888224444444888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-11-1-111-1-1-1-1-1111-1-1-1-1-1
χ31111111111111111111111-1-1111-11-111-1-11-1-1-1-1-1-1-1111-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-11-1-1111111-1-11-1
χ611111111111111-1-111-1-1-1-111-1-1-1-11-1-11-1-1-111-1-1111-111-11
χ711111111111111-1-111-1-1-1-1-1-111-11-111-111111-1-1-1-1-11-1-1-11
χ811111111111111-1-111-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-1-1-1111-1
χ9111111111111-1-111-1-111-1-11111-1-1-11-1-11-1-1-1-1111-1-1111-11
χ10111111111111-1-111-1-111-1-111-1-1-1-111111-1111-1-11-1-1-1-1-11-1
χ11111111111111-1-111-1-111-1-1-1-111-11-1-1-1-1-11-111-1-1-1111111-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-111-111-111-1-111-111-1-1-1-11
χ13111111111111-1-1-1-1-1-1-1-1111111111-1-11-11-111111-1-11-1-1-1-1
χ14111111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-11-1-1-11111
χ15111111111111-1-1-1-1-1-1-1-111-1-1111-111-111-1-1-1-1-1-1-1111-1-111
χ16111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-11-111111-111-111-1-1
χ17222222-22-2-22-2002200-2-2002200000200-2000000-20000000
χ18222222-22-2-22-2002200-2-200-2-200000-200200000020000000
χ19222222-22-2-22-200-2-20022002200000-2002000000-20000000
χ20222222-22-2-22-200-2-2002200-2-200000200-200000020000000
χ21222222-2-22-2-222200-2-20000002200002000-20000000-20000
χ22222222-2-22-2-222200-2-2000000-2-20000-20002000000020000
χ23222222-2-22-2-22-2-20022000000220000-200020000000-20000
χ24222222-2-22-2-22-2-20022000000-2-200002000-2000000020000
χ252222-2-22-2-2-2222-22-22-22-2220000-200000000000000000000
χ262222-2-22-2-2-2222-2-222-2-22-2-20000200000000000000000000
χ272222-2-22-2-2-222-222-2-222-2-2-20000200000000000000000000
χ282222-2-22-2-2-222-22-22-22-22220000-200000000000000000000
χ292222-2-2-22-22-222-200-220000000000200-2000000000002-200
χ302222-2-2-22-22-222-200-220000000000-200200000000000-2200
χ312222-2-2-22-22-22-22002-20000000000200-200000000000-2200
χ322222-2-2-22-22-22-22002-20000000000-2002000000000002-200
χ332222-2-2-2-2222-2002-200-220000000200000-20000002-200000
χ342222-2-2-2-2222-2002-200-220000000-2000002000000-2200000
χ352222-2-2-2-2222-200-22002-20000000200000-2000000-2200000
χ362222-2-2-2-2222-200-22002-20000000-20000020000002-200000
χ374444444-4-44-4-400000000000000000000000000000000000
χ384444-4-4444-4-4-400000000000000000000000000000000000
χ394-4-444-4000000000000000022−222i2−2i2000000000002i−2i00000000
χ404-4-444-4000000000000000022−22−2i22i200000000000−2i2i00000000
χ414-4-444-40000000000000000−22222i2−2i200000000000−2i2i00000000
χ424-4-444-40000000000000000−2222−2i22i2000000000002i−2i00000000
χ4388-8-8000000000000000000000000000000022−220000000000
χ4488-8-80000000000000000000000000000000−22220000000000
χ458-88-800000000000000004i−4i0000000000000000000000000
χ468-88-80000000000000000−4i4i0000000000000000000000000
χ478-8-88-8800000000000000000000000000000000000000000

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