Finite Group Databasebeta

← Group #247913

Character table — Group #247913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444488888888888888888888161616161616161616161616163232
order12222244444422224444444444444444444444488888888224444444888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ511111111111111111-1-1-1-1111111-1-1111111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1
χ611111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-111
χ711111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ9111111111111-1-1-1-11111111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-11-111-1-11-1
χ10111111111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-11-1-111-11
χ11111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1-111-11
χ12111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111-1111-1-11-1
χ13111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1111-111-1111-1-1-11
χ14111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-1111-1-1-1111-1
χ15111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11111-1-1-11-1-1111-1
χ16111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-1111-1-11-111-1-1-11
χ1722222222-2-2222222-200002222-2-20022-2-2-2-20000000000000000-20000000000
χ1822222222-2-2222222-20000-2-2-2-2-2-200-2-2-2-222000000000000000020000000000
χ1922222222-2-222-2-2-2-2-200002222-2-200-2-222-2-2000000000000000020000000000
χ2022222222-2-222-2-2-2-2-20000-2-2-2-2-2-2002222220000000000000000-20000000000
χ21222222-2-222-2-222-2-2222220000-2-2-2-2002-200000000000000002-200000000000
χ22222222-2-222-2-222-2-22-2-2-2-20000-2-222002-20000000000000000-2200000000000
χ23222222-2-222-2-2-2-222222220000-2-2-2-200-220000000000000000-2200000000000
χ24222222-2-222-2-2-2-2222-2-2-2-20000-2-22200-2200000000000000002-200000000000
χ25222222-2-2-2-2-2-222-2-2-200000000220000-220022-2-200000000000002-200000000
χ26222222-2-2-2-2-2-222-2-2-200000000220000-2200-2-2220000000000000-2200000000
χ27222222-2-2-2-2-2-2-2-222-2000000002200002-20022-2-20000000000000-2200000000
χ28222222-2-2-2-2-2-2-2-222-2000000002200002-200-2-22200000000000002-200000000
χ292222-2-22-2222-20000-222-2-200002-22-20000000000000022-2-202000000-2000000
χ302222-2-22-2222-20000-222-2-200002-22-200000000000000-2-2220-20000002000000
χ312222-2-22-2222-20000-2-2-22200002-2-220000000000000022-2-20-20000002000000
χ322222-2-22-2222-20000-2-2-22200002-2-2200000000000000-2-22202000000-2000000
χ332222-2-2-2222-220000-222-2-20000-22-22000000000022-2-200002000000-20000000
χ342222-2-2-2222-220000-222-2-20000-22-220000000000-2-2220000-200000020000000
χ352222-2-2-2222-220000-2-2-2220000-222-2000000000022-2-20000-200000020000000
χ362222-2-2-2222-220000-2-2-2220000-222-20000000000-2-22200002000000-20000000
χ372-2-22-222200-2-22-22-2000002i2i−2i−2i00002i−2i00000000i2−i2i2−i2i2−i2i2−i20000000002−22−200
χ382-2-22-222200-2-22-22-2000002i2i−2i−2i00002i−2i00000000−i2i2−i2i2−i2i2−i2i2000000000−22−2200
χ392-2-22-222200-2-22-22-200000−2i−2i2i2i0000−2i2i00000000i2−i2i2−i2i2−i2i2−i2000000000−22−2200
χ402-2-22-222200-2-22-22-200000−2i−2i2i2i0000−2i2i00000000−i2i2−i2i2−i2i2−i2i20000000002−22−200
χ412-2-22-222200-2-2-22-22000002i2i−2i−2i0000−2i2i00000000i2−i2i2−i2−i2i2−i2i20000000002−2−2200
χ422-2-22-222200-2-2-22-22000002i2i−2i−2i0000−2i2i00000000−i2i2−i2i2i2−i2i2−i2000000000−222−200
χ432-2-22-222200-2-2-22-2200000−2i−2i2i2i00002i−2i00000000i2−i2i2−i2−i2i2−i2i2000000000−222−200
χ442-2-22-222200-2-2-22-2200000−2i−2i2i2i00002i−2i00000000−i2i2−i2i2i2−i2i2−i20000000002−2−2200
χ454444-4-44-4-4-44-40000400000000-4400000000000000000000000000000000000
χ464444-4-4-44-4-4-4400004000000004-400000000000000000000000000000000000
χ474-44-400004-40000000004-42i−2i2i−2i000000002i−2i2i−2i2i−2i00000000000000000000000
χ484-44-400004-40000000004-4−2i2i−2i2i00000000−2i2i−2i2i−2i2i00000000000000000000000
χ494-44-400004-4000000000-442i−2i2i−2i000000002i−2i−2i2i−2i2i00000000000000000000000
χ504-44-400004-4000000000-44−2i2i−2i2i00000000−2i2i2i−2i2i−2i00000000000000000000000
χ514-44-40000-4400000004-4002i−2i2i−2i00000000−2i2i2i−2i−2i2i00000000000000000000000
χ524-44-40000-4400000004-400−2i2i−2i2i000000002i−2i−2i2i2i−2i00000000000000000000000
χ534-44-40000-440000000-44002i−2i2i−2i00000000−2i2i−2i2i2i−2i00000000000000000000000
χ544-44-40000-440000000-4400−2i2i−2i2i000000002i−2i2i−2i−2i2i00000000000000000000000
χ554-4-444-44-400-4400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-4-444-44-400-440000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-4-444-4-44004-40000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ584-4-444-4-44004-4000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ594-4-44-44-4-400444-4-440000000000000000000000000000000000000000000000
χ604-4-44-44-4-40044-444-40000000000000000000000000000000000000000000000
χ6188-8-8000000000000000004-4-440000000000000000000000000000000000000
χ6288-8-800000000000000000-444-40000000000000000000000000000000000000

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