Finite Group Databasebeta

← Group #484158

Character table — Group #484158

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444448888881616161616161616161616161616161616161616161616161616
order12222222222222444444444422224444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111-1-1111-1111-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1111-1-1-11-1-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111-1-1-1-111-1-111-1111-1111-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-111-11-1-1-11-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-1-1-1111-1-111111-1-1-1-1111-11-1-111-11-11-11-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1-111111-1-1-1-1111-1-11-11-111-11-11-1-1-111-1-111-1-111
χ111111-1-1-1-1111-1-111111-1-1-1-111-111-11-11-11-1-11-1111-1-1-1-111-1-111
χ121111-1-1-1-1111-1-111111-1-1-1-111-11-111-1-111-1-11-11-1-11111-1-111-1-1
χ131111-1-1-1-1111-1-11-1-1-1-1-1-11111111-1-1-11-1-111-1-11-1-11111-1-1-1-111
χ141111-1-1-1-1111-1-11-1-1-1-1-1-1111111-11-1-1-11-111-1-1111-1-1-1-11111-1-1
χ151111-1-1-1-1111-1-11-1-1-1-1-1-11111-1-11-1111-1-11-111-1-1-111-1-11111-1-1
χ161111-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1111-11-11-111-111-1-111-1-1-1-111
χ17222222222222222222-2-222-2-200000000-2-20000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-200000000220000000000000000
χ192222222222-2-2-2-200002-2002-2020002000000-2-2000000000000
χ202222222222-2-2-2-200002-2002-20-2000-200000022000000000000
χ212222222222-2-2-2-20000-2200-222000200000-2-200000000000000
χ222222222222-2-2-2-20000-2200-22-2000-2000002200000000000000
χ232222-2-2-2-2222-2-22222222-2-2-2-200000000-220000000000000000
χ242222-2-2-2-2222-2-22-2-2-2-22222-2-2000000002-20000000000000000
χ252222-2-2-2-222-222-200002-200-222000-200000-2200000000000000
χ262222-2-2-2-222-222-200002-200-22-20002000002-200000000000000
χ272222-2-2-2-222-222-20000-22002-202000-20000002-2000000000000
χ282222-2-2-2-222-222-20000-22002-20-20002000000-22000000000000
χ292-2-2222-2-2-22-22-2222-2-2002-2000000000000000000002−22−22−22−2
χ302-2-2222-2-2-22-22-2222-2-2002-200000000000000000000−22−22−22−22
χ312-2-2222-2-2-22-22-22-2-22200-22000000000000000000002−22−2−22−22
χ322-2-2222-2-2-22-22-22-2-22200-2200000000000000000000−22−222−22−2
χ332-2-22-2-222-22-2-22222-2-200-22000000000000000000002−2−222−2−22
χ342-2-22-2-222-22-2-22222-2-200-2200000000000000000000−222−2−222−2
χ352-2-22-2-222-22-2-222-2-222002-2000000000000000000002−2−22−222−2
χ362-2-22-2-222-22-2-222-2-222002-200000000000000000000−222−22−2−22
χ3744444-44-4-4-400000000000000002200-2-2000000000000000000
χ3844444-44-4-4-40000000000000000-2-20022000000000000000000
χ394444-44-44-4-400000000000000002-200-22000000000000000000
χ404444-44-44-4-40000000000000000-22002-2000000000000000000
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
χ4788-8-800000000004i−4i4i−4i00000000000000000000000000000000
χ4888-8-80000000000−4i4i−4i4i00000000000000000000000000000000
χ498-88-800000000004i−4i−4i4i00000000000000000000000000000000
χ508-88-80000000000−4i4i4i−4i00000000000000000000000000000000

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