Finite Group Databasebeta

← Group #484181

Character table — Group #484181

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444222244444444222244444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111-1-111-1-111-11111-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ511111111111111-1-11111-1-111111-111-111-1-11-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-111-1111111-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-111-11-1-11-1-1-1-1-11111111111-1-1-1-1
χ91111-1-1-1-1111-1-111111-1-1-1-1-1-111-111-1-11-11-111-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1-111111-1-1-1-1-1-111-11-11-1-111-111-1-1-111-1-111-1-111
χ111111-1-1-1-1111-1-1111-1-1-1-1-1-111111-11-111-11-1-1-1111-1-1-1-111-1-111
χ121111-1-1-1-1111-1-1111-1-1-1-1-1-111111-1-111-111-1-1-11-1-11111-1-111-1-1
χ131111-1-1-1-1111-1-11-1-111-1-111-1-111-1-11-111-1-111-11-1-11111-1-1-1-111
χ141111-1-1-1-1111-1-11-1-111-1-111-1-111-1-1-111-11-111-1111-1-1-1-11111-1-1
χ151111-1-1-1-1111-1-11-1-1-1-1-1-1111111111-1-11-1-11-11-1-1-111-1-11111-1-1
χ161111-1-1-1-1111-1-11-1-1-1-1-1-111111111-11-1-11-11-11-111-1-111-1-1-1-111
χ17222222222222222200-2-22200-2-20000000-2-2000000000000000
χ1822222222222222-2-200-2-2-2-200-2-2000000022000000000000000
χ192222222222-2-2-2-200002-200002-20200200000-2-2000000000000
χ202222222222-2-2-2-200002-200002-20-200-20000022000000000000
χ212222222222-2-2-2-20022-2200-2-2-22200000000-200000000000000
χ222222222222-2-2-2-200-2-2-220022-22-200000000200000000000000
χ232222-2-2-2-2222-2-22220022-2-200-2-20000000-22000000000000000
χ242222-2-2-2-2222-2-22-2-200222200-2-200000002-2000000000000000
χ252222-2-2-2-222-222-20000-2200002-20200-200000-22000000000000
χ262222-2-2-2-222-222-20000-2200002-20-2002000002-2000000000000
χ272222-2-2-2-222-222-200222-20022-22-200000000-200000000000000
χ282222-2-2-2-222-222-200-2-22-200-2-2-22200000000200000000000000
χ292-2-2222-2-2-22-22-222-200002-2000000000000000000002−22−22−22−2
χ302-2-2222-2-2-22-22-222-200002-200000000000000000000−22−22−22−22
χ312-2-2222-2-2-22-22-22-220000-22000000000000000000002−22−2−22−22
χ322-2-2222-2-2-22-22-22-220000-2200000000000000000000−22−222−22−2
χ332-2-22-2-222-22-2-2222-20000-22000000000000000000002−2−222−2−22
χ342-2-22-2-222-22-2-2222-20000-2200000000000000000000−222−2−222−2
χ352-2-22-2-222-22-2-222-2200002-2000000000000000000002−2−22−222−2
χ362-2-22-2-222-22-2-222-2200002-200000000000000000000−222−22−2−22
χ3744444-44-4-4-4000000000000000000220-2-200000000000000000
χ3844444-44-4-4-4000000000000000000-2-202200000000000000000
χ394444-44-44-4-40000000000000000002-20-2200000000000000000
χ404444-44-44-4-4000000000000000000-2202-200000000000000000
χ414-4-4444-4-4-444-44-4000000000000000000000000000000000000
χ424-4-444-4-444-400000000000000000000000000002-22-200000000
χ434-4-444-4-444-40000000000000000000000000000-22-2200000000
χ444-4-44-444-44-400000000000000000000000000002-2-2200000000
χ454-4-44-444-44-40000000000000000000000000000-222-200000000
χ464-4-44-4-444-4444-4-4000000000000000000000000000000000000
χ4788-8-80000000000000000004i−4i00000000000000000000000000
χ4888-8-8000000000000000000−4i4i00000000000000000000000000
χ498-88-80000000000004-400000000000000000000000000000000
χ508-88-8000000000000-4400000000000000000000000000000000

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