Finite Group Databasebeta

← Group #508582

Character table — Group #508582

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1222224444888822448844448888882244888816161616161616164444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ911111111111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-1-1-111-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-111-1-1-11-11-1-11111-1-111-1-1-1-111
χ1211111111111111-1-1-1-11111-1-1-1-111-1-1-11-11-1-111-1-111-1-11111-1-1
χ1311111111111111-1-1-1-111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-111-1-111-1-1-1-1111-11-1-1-111-1-11111-1-1-111-1
χ1511111111111111-1-1-1-111-1-111-1-1-1-111-11-1111-1-111-1-1-1-111-111-1
χ1611111111111111-1-1-1-111-1-111-1-1-1-111-11-1111-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-22222-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ212222-2-222-2-222222-22-2-2-200002-2000000002i−2i2i−2i000000000000
χ222222-2-222-2-222222-22-2-2-200002-200000000−2i2i−2i2i000000000000
χ232222-2-222-2-22222-22-22-2-20000-22000000002i−2i−2i2i000000000000
χ242222-2-222-2-22222-22-22-2-20000-2200000000−2i2i2i−2i000000000000
χ252222-2-222-2-2-2-2-2-22-22-2220000-22000022-2-20000000000000000
χ262222-2-222-2-2-2-2-2-22-22-2220000-220000-2-2220000000000000000
χ272222-2-222-2-2-2-2-2-2-22-222200002-200002-2-220000000000000000
χ282222-2-222-2-2-2-2-2-2-22-222200002-20000-222-20000000000000000
χ292222-2-2-2-22200002-2-22000000002-22-200000000i2−i2i2−i2i2−i2i2−i20000
χ302222-2-2-2-22200002-2-22000000002-22-200000000−i2i2−i2i2−i2i2−i2i20000
χ312222-2-2-2-22200002-2-2200000000-22-2200000000i2−i2i2−i2−i2i2−i2i20000
χ322222-2-2-2-22200002-2-2200000000-22-2200000000−i2i2−i2i2i2−i2i2−i20000
χ332222-2-2-2-2220000-222-2000000002-2-2200000000i2−i2−i2i2i2−i2−i2i20000
χ342222-2-2-2-2220000-222-2000000002-2-2200000000−i2i2i2−i2−i2i2i2−i20000
χ352222-2-2-2-2220000-222-200000000-222-200000000i2−i2−i2i2−i2i2i2−i20000
χ362222-2-2-2-2220000-222-200000000-222-200000000−i2i2i2−i2i2−i2−i2i20000
χ37444444-4-4-4-4000044-4-400000000000000000000000000000000
χ38444444-4-4-4-40000-4-44400000000000000000000000000000000
χ394-4-444-44-44-40000000000004i−4i00000000000000000000000000
χ404-4-444-44-44-4000000000000−4i4i00000000000000000000000000
χ414-4-444-4-44-4444-4-400004-4000000000000000000000000000000
χ424-4-444-4-44-44-4-4440000-44000000000000000000000000000000
χ434-4-44-444-4-4400000000004-40000000000000000000000000000
χ444-4-44-444-4-440000000000-440000000000000000000000000000
χ454-4-44-44-444-444-4-40000-44000000000000000000000000000000
χ464-4-44-44-444-4-4-44400004-4000000000000000000000000000000
χ4788-8-80000004i2−4i24i2−4i2000000000000000000000000000000000000
χ4888-8-8000000−4i24i2−4i24i2000000000000000000000000000000000000
χ498-88-80000004i2−4i2−4i24i2000000000000000000000000000000000000
χ508-88-8000000−4i24i24i2−4i2000000000000000000000000000000000000

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