Finite Group Databasebeta

← Group #508776

Character table — Group #508776

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444444488888888244488882444888816161616161616164444
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
χ511111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11111-1-1-1-1-1-111-111-1-1-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-11111-1-1-1-1-1-111-111-1-1-111-1-1-1-1111111-1-1
χ91111111111-1-1-1-111111111-1-111-1-1-1-11-1-11-1-11111-1-111-1-11-11-1
χ101111111111-1-1-1-111111111-1-111-1-1-1-11-1-11-1-111-1-111-1-111-11-11
χ111111111111-1-1-1-111111111-1-111-1-1-1-1-111-111-1-111-1-111-1-1-11-11
χ121111111111-1-1-1-111111111-1-111-1-1-1-1-111-111-1-1-1-111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-2-2-2-2-222-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000
χ192222222222-2-2-2-22222-2-2-2-222-2-2-2-22200000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000
χ212222-2-222-2-200002i2i−2i−2i22-2-2002i−2i000002-202i−2i00000000000000
χ222222-2-222-2-200002i2i−2i−2i22-2-2002i−2i00000-220−2i2i00000000000000
χ232222-2-222-2-200002i2i−2i−2i-2-22200−2i2i0000200-2002i−2i000000000000
χ242222-2-222-2-200002i2i−2i−2i-2-22200−2i2i0000-200200−2i2i000000000000
χ252222-2-222-2-20000−2i−2i2i2i22-2-200−2i2i000002-20−2i2i00000000000000
χ262222-2-222-2-20000−2i−2i2i2i22-2-200−2i2i00000-2202i−2i00000000000000
χ272222-2-222-2-20000−2i−2i2i2i-2-222002i−2i0000200-200−2i2i000000000000
χ282222-2-222-2-20000−2i−2i2i2i-2-222002i−2i0000-2002002i−2i000000000000
χ292-2-222-22-22-222-2-22i−2i2i−2i000000002i−2i00000000002−22−2i2−i2i2−i20000
χ302-2-222-22-22-222-2-22i−2i2i−2i000000002i−2i0000000000−22−22−i2i2−i2i20000
χ312-2-222-22-22-222-2-2−2i2i−2i2i00000000−2i2i00000000002−22−2−i2i2−i2i20000
χ322-2-222-22-22-222-2-2−2i2i−2i2i00000000−2i2i0000000000−22−22i2−i2i2−i20000
χ332-2-222-22-22-2-2-2222i−2i2i−2i00000000−2i2i00000000002−2−22i2−i2−i2i20000
χ342-2-222-22-22-2-2-2222i−2i2i−2i00000000−2i2i0000000000−222−2−i2i2i2−i20000
χ352-2-222-22-22-2-2-222−2i2i−2i2i000000002i−2i00000000002−2−22−i2i2i2−i20000
χ362-2-222-22-22-2-2-222−2i2i−2i2i000000002i−2i0000000000−222−2i2−i2−i2i20000
χ37444444-4-4-4-40000000000004-400000000000000000000000000
χ38444444-4-4-4-4000000000000-4400000000000000000000000000
χ394444-4-4-4-4440000000000000000004-400000000000000000000
χ404444-4-4-4-444000000000000000000-4400000000000000000000
χ414-4-444-4-44-44000000004-44-40000000000000000000000000000
χ424-4-444-4-44-4400000000-44-440000000000000000000000000000
χ434-4-44-444-4-4400004-4-4400000000000000000000000000000000
χ444-4-44-444-4-440000-444-400000000000000000000000000000000
χ454-4-44-44-444-4000000004-4-440000000000000000000000000000
χ464-4-44-44-444-400000000-444-40000000000000000000000000000
χ4788-8-80000004-44-4000000000000000000000000000000000000
χ4888-8-8000000-44-44000000000000000000000000000000000000
χ498-88-80000004-4-44000000000000000000000000000000000000
χ508-88-8000000-444-4000000000000000000000000000000000000

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