Finite Group Databasebeta

← Group #484268

Character table — Group #484268

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444224444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-11111-1-111-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ511111111111111-1-111-1-1111111-111111-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ611111111111111-1-111-1-1111111-1-1-1-1-11-1-1-11-1-11111-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-1-11111111-11-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-11-1-1-11111111111-1-1-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-111-1-111-11-11-1-111-111-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1-1111-1-1-1-111-1-111-1-11-11-111-111-1-1-111-1-111-1-111
χ111111-1-1-1-1111-1-1111-1-1-1-1-1-1111111-11-11-11-1-1-1111-1-1-1-111-1-111
χ121111-1-1-1-1111-1-1111-1-1-1-1-1-111111-11-111-11-1-1-11-1-11111-1-111-1-1
χ131111-1-1-1-1111-1-11-1-1-1-11111-1-11111-11-1-1-1-111-11-1-11111-1-1-1-111
χ141111-1-1-1-1111-1-11-1-1-1-11111-1-1111-11-11-1-1-111-1111-1-1-1-11111-1-1
χ151111-1-1-1-1111-1-11-1-1-1-111-1-11111-11-11-111-11-11-1-1-111-1-11111-1-1
χ161111-1-1-1-1111-1-11-1-1-1-111-1-11111-1-11-1111-11-11-111-1-111-1-1-1-111
χ172222222222222222-2-2220000-2-20000000-2-2000000000000000
χ1822222222222222-2-2-2-2-2-20000-2-2000000022000000000000000
χ192222222222-2-2-2-2002-20000002-22000002000-2-2000000000000
χ202222222222-2-2-2-2002-20000002-2-200000-200022000000000000
χ212222222222-2-2-2-200-220022-2-2-22000002000-200000000000000
χ222222222222-2-2-2-200-2200-2-222-2200000-2000200000000000000
χ232222-2-2-2-2222-2-222222-2-20000-2-20000000-22000000000000000
χ242222-2-2-2-2222-2-22-2-222220000-2-200000002-2000000000000000
χ252222-2-2-2-222-222-2002-2002222-2200000-2000-200000000000000
χ262222-2-2-2-222-222-2002-200-2-2-2-2-22000002000200000000000000
χ272222-2-2-2-222-222-200-220000002-2200000-20002-2000000000000
χ282222-2-2-2-222-222-200-220000002-2-2000002000-22000000000000
χ292-2-2222-2-2-2222-2-22-2002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ302-2-2222-2-2-2222-2-22-2002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ312-2-2222-2-2-2222-2-2-2200-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ322-2-2222-2-2-2222-2-2-2200-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ332-2-22-2-222-222-22-22-200-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ342-2-22-2-222-222-22-22-200-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ352-2-22-2-222-222-22-2-22002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ362-2-22-2-222-222-22-2-22002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3744444-44-4-4-40000000000000000022-2-20000000000000000000
χ3844444-44-4-4-400000000000000000-2-2220000000000000000000
χ394444-44-44-4-4000000000000000002-2-220000000000000000000
χ404444-44-44-4-400000000000000000-222-20000000000000000000
χ414-4-4444-4-4-44-4-444000000000000000000000000000000000000
χ424-4-444-4-444-400000000000000000000000000002i−2i2i−2i00000000
χ434-4-444-4-444-40000000000000000000000000000−2i2i−2i2i00000000
χ444-4-44-444-44-400000000000000000000000000002i−2i−2i2i00000000
χ454-4-44-444-44-40000000000000000000000000000−2i2i2i−2i00000000
χ464-4-44-4-444-44-44-44000000000000000000000000000000000000
χ4788-8-80000000000000000004-400000000000000000000000000
χ4888-8-8000000000000000000-4400000000000000000000000000
χ498-88-800000000000000004i−4i0000000000000000000000000000
χ508-88-80000000000000000−4i4i0000000000000000000000000000

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