Finite Group Databasebeta

← Group #263235

Character table — Group #263235

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222222444444444444448888888888888888888888161616161616161632323232
order12222244444444444444888888884444444444888888888888224444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-11111-1-1
χ91111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-11-11-11-1
χ101111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-11-11-11
χ111111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-11-1-11-11
χ121111111111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11-1-111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-111-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11-1-11-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-111-11-1-11
χ1722222222-2-2-2-222-2-222-2-22222-2-2-2-22-200000000000022-2-20000000000000000
χ1822222222-2-2-2-222-2-222-2-2-2-2-2-222222-2000000000000-2-2220000000000000000
χ1922222222-2-2-2-222-2-2-2-2222222-2-2-2-2-22000000000000-2-2220000000000000000
χ2022222222-2-2-2-222-2-2-2-222-2-2-2-22222-2200000000000022-2-20000000000000000
χ21222222-2-22222-2-2-2-2222200000000-2-222-2-222-2-2000000000000000000000000
χ22222222-2-22222-2-2-2-2222200000000-2-2-2-222-2-222000000000000000000000000
χ23222222-2-22222-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ24222222-2-22222-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ25222222-2-2-2-2-2-2-2-22222-2-200000000-22000000002i2i−2i−2i00002i2i−2i−2i000000000000
χ26222222-2-2-2-2-2-2-2-22222-2-200000000-2200000000−2i−2i2i2i0000−2i−2i2i2i000000000000
χ27222222-2-2-2-2-2-2-2-222-2-222000000002-2000000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ28222222-2-2-2-2-2-2-2-222-2-222000000002-200000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ292222-2-2-2-222-2-2222-2000022-2-222-2-2000000000000000000000002200-20-20000
χ302222-2-2-2-222-2-2222-2000022-2-222-2-200000000000000000000000-2-2002020000
χ312222-2-2-2-222-2-2222-20000-2-222-2-222000000000000000000000002-20020-20000
χ322222-2-2-2-222-2-2222-20000-2-222-2-22200000000000000000000000-2200-2020000
χ332222-2-2-2-2-2-22222-22000022-2-2-2-22200000000000000000000002002-20-200000
χ342222-2-2-2-2-2-22222-22000022-2-2-2-2220000000000000000000000-200-220200000
χ352222-2-2-2-2-2-22222-220000-2-22222-2-20000000000000000000000200-2-20200000
χ362222-2-2-2-2-2-22222-220000-2-22222-2-20000000000000000000000-200220-200000
χ372-22-22-2002-22-200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i200002i−2i002-2i2−i2i2−i22−22−22−22−2000000000000
χ382-22-22-2002-22-200002i−2i2i−2ii2−i2i2−i2i2−i2i2−i20000−2i2i00-22−i2i2−i2i22−22−2−22−22000000000000
χ392-22-22-2002-22-200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i200002i−2i002-2−i2i2−i2i2−22−22−22−22000000000000
χ402-22-22-2002-22-200002i−2i2i−2i−i2i2−i2i2−i2i2−i2i20000−2i2i00-22i2−i2i2−i2−22−222−22−2000000000000
χ412-22-22-2002-22-20000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i200002i−2i00-22−i2i2−i2i2−22−222−22−2000000000000
χ422-22-22-2002-22-20000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i20000−2i2i002-2i2−i2i2−i2−22−22−22−22000000000000
χ432-22-22-2002-22-20000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200002i−2i00-22i2−i2i2−i22−22−2−22−22000000000000
χ442-22-22-2002-22-20000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i20000−2i2i002-2−i2i2−i2i22−22−22−22−2000000000000
χ452-22-22-200-22-2200002i−2i−2i2ii2−i2i2−i2−i2i2−i2i2002-2002i−2i002−2−222−2−22−i2i2i2−i2000000000000
χ462-22-22-200-22-2200002i−2i−2i2ii2−i2i2−i2−i2i2−i2i200-2200−2i2i00−222−22−2−22i2−i2−i2i2000000000000
χ472-22-22-200-22-2200002i−2i−2i2i−i2i2−i2i2i2−i2i2−i2002-2002i−2i00−222−2−222−2i2−i2−i2i2000000000000
χ482-22-22-200-22-2200002i−2i−2i2i−i2i2−i2i2i2−i2i2−i200-2200−2i2i002−2−22−222−2−i2i2i2−i2000000000000
χ492-22-22-200-22-220000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2002-200−2i2i00−222−2−222−2−i2i2i2−i2000000000000
χ502-22-22-200-22-220000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i200-22002i−2i002−2−22−222−2i2−i2−i2i2000000000000
χ512-22-22-200-22-220000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2002-200−2i2i002−2−222−2−22i2−i2−i2i2000000000000
χ522-22-22-200-22-220000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i200-22002i−2i00−222−22−2−22−i2i2i2−i2000000000000
χ534444-4-44444-4-4-4-4-440000000000000000000000000000000000000000000000
χ544444-4-444-4-444-4-44-40000000000000000000000000000000000000000000000
χ554-44-4-44004-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ564-44-4-44004-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ574-44-4-4400-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ584-44-4-4400-444-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ5988-8-8000000008-8000000000000000000000000000000000000000000000000
χ6088-8-800000000-88000000000000000000000000000000000000000000000000
χ618-8-88008i−8i000000000000000000000000000000000000000000000000000000
χ628-8-8800−8i8i000000000000000000000000000000000000000000000000000000

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