Finite Group Databasebeta

← Group #248608

Character table — Group #248608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222222224444422244444444444222444444448888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111-111-1-1-1111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111111-1-111-11111-1-1-1-11-111-11-1-1-1-111-1-111-1-11-1
χ611111111111111111-1-111-11111-1-1-1-1-1111-1-11-1-1-1-1-111-1-111-11
χ711111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-1111-1
χ811111111111111111-1-111-1-1-1-1-1-1-1-11-11-1-11-11-11111-1-111-1-1-11
χ9111111111111111-1-111-1-1111111-1-1111-1-1111-1-1-11111-1-1-1-1-1-1
χ10111111111111111-1-111-1-1111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ11111111111111111-1-111-1-11-1-1-1-11-1-1-11111-111-111-1-1-1-11111-1-1
χ12111111111111111-1-111-1-11-1-1-1-11-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-11111-111-11-1-1-1-11-111111-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-1-11111-111-1-11-1-1-1-11111-1-11111-1-11-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-11-1-1-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11111-111-1-111-1-1-1-1111-1
χ172222222222-2-2-2-2-2222-2-2-2-2000022200000000-2000000000000
χ182222222222-2-2-2-2-222-22-2-220000-2-2-2000000002000000000000
χ192222222222-2-2-2-2-2-2-22-222-200002-2-2000000002000000000000
χ202222222222-2-2-2-2-2-2-2-222220000-22200000000-2000000000000
χ2122222-2-22-2-222-22-2000000022-2-20000020000-2000002-2000000
χ2222222-2-22-2-222-22-2000000022-2-200000-20000200000-22000000
χ2322222-2-22-2-222-22-20000000-2-2220000020000-200000-22000000
χ2422222-2-22-2-222-22-20000000-2-22200000-200002000002-2000000
χ252222-22-2-22-222-2-2200000002-22-2000020000-200002-200000000
χ262222-22-2-22-222-2-2200000002-22-20000-2000020000-2200000000
χ272222-22-2-22-222-2-220000000-22-22000020000-20000-2200000000
χ282222-22-2-22-222-2-220000000-22-220000-20000200002-200000000
χ292222-2-22-2-22222-2-2002-20022-2-22-20020000-2000000000000000
χ302222-2-22-2-22222-2-2002-2002-222-2-200-200002000000000000000
χ312222-2-22-2-22222-2-200-2200-22-2-22200-200002000000000000000
χ322222-2-22-2-22222-2-200-2200-2-222-220020000-2000000000000000
χ332222-2-22-2-22-2-2-222002200-20000-2000002-200002-20000000000
χ342222-2-22-2-22-2-2-222002200-20000-200000-220000-220000000000
χ352222-2-22-2-22-2-2-22200-2-200200002000002-20000-220000000000
χ362222-2-22-2-22-2-2-22200-2-20020000200000-2200002-20000000000
χ3744444-4-44-4-4-4-44-4400000000000000000000000000000000000
χ384444-44-4-44-4-4-444-400000000000000000000000000000000000
χ394-4-44444-4-4-40000000004i−4i00000000000000000000000000000
χ404-4-44444-4-4-4000000000−4i4i00000000000000000000000000000
χ414-4-444-4-4-44400000000000000000000000000000000000022−2200
χ424-4-444-4-4-444000000000000000000000000000000000000−222200
χ434-4-44-44-44-44000000000000000000000000000000000022−220000
χ444-4-44-44-44-440000000000000000000000000000000000−22220000
χ454-4-44-4-4444-4000000000000000004-4000000000000000000000
χ464-4-44-4-4444-400000000000000000-44000000000000000000000
χ4788-8-8000000000004-4000000000000000000000000000000000
χ4888-8-800000000000-44000000000000000000000000000000000
χ498-88-80000008-800000000000000000000000000000000000000
χ508-88-8000000-8800000000000000000000000000000000000000

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