Finite Group Databasebeta

← Group #249286

Character table — Group #249286

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122224444888888881616161616161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-222-2-200002-200000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2220000-2200000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-20000-2200000000000000000000
χ20222222222222-2-2-2-2-2-222-2-22200002-200000000000000000000
χ2122222222-2-2-2-222-2-200002-22-2002-200002-20000000000000000
χ2222222222-2-2-2-222-2-200002-22-200-220000-220000000000000000
χ2322222222-2-2-2-222-2-20000-22-22002-20000-220000000000000000
χ2422222222-2-2-2-222-2-20000-22-2200-2200002-20000000000000000
χ2522222222-2-2-2-2-2-22200002-2-222-200002-2000000000000000000
χ2622222222-2-2-2-2-2-22200002-2-22-220000-22000000000000000000
χ2722222222-2-2-2-2-2-2220000-222-22-20000-22000000000000000000
χ2822222222-2-2-2-2-2-2220000-222-2-2200002-2000000000000000000
χ292-2-2-2-22222-2-222-22-22-22-200000000000000002-2002-200000000
χ302-2-2-2-22222-2-222-22-22-22-20000000000000000-2200-2200000000
χ312-2-2-2-22222-2-222-22-2-22-2200000000000000002-200-2200000000
χ322-2-2-2-22222-2-222-22-2-22-220000000000000000-22002-200000000
χ332-2-2-2-22222-2-22-22-222-2-22000000000000002-2002-20000000000
χ342-2-2-2-22222-2-22-22-222-2-2200000000000000-2200-220000000000
χ352-2-2-2-22222-2-22-22-22-222-2000000000000002-200-220000000000
χ362-2-2-2-22222-2-22-22-22-222-200000000000000-22002-20000000000
χ37444-4-44-4-444-4-400000000000000000000000000000022−22000000
χ38444-4-44-4-444-4-4000000000000000000000000000000−2222000000
χ39444-4-44-4-4-4-44400000000000000000000000000000000002i2−2i200
χ40444-4-44-4-4-4-4440000000000000000000000000000000000−2i22i200
χ414-4-4444-4-44-44-40000000000000000000000000000000022−220000
χ424-4-4444-4-44-44-400000000000000000000000000000000−22220000
χ434-4-4444-4-4-44-440000000000000000000000000000000000002i2−2i2
χ444-4-4444-4-4-44-44000000000000000000000000000000000000−2i22i2
χ454-4-4-4-4444-444-44-4-440000000000000000000000000000000000
χ464-4-4-4-4444-444-4-444-40000000000000000000000000000000000
χ4788-88-8-88-8000000000000000000000000000000000000000000
χ4888-8-88-8-88000000000000000000000000000000000000000000
χ498-888-8-8-88000000000000000000000000000000000000000000
χ508-88-88-88-8000000000000000000000000000000000000000000

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