Finite Group Databasebeta

← Group #347261

Character table — Group #347261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444444444444444444444222222444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-11111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1
χ41111111111111111-1-11111111111111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111-1-111-1-1-1-111-1-11111-111-1-1-1-111-111-1-111-1-1-1-1111111-1-111-1-1-11-1
χ611111111111111-1-111-1-1-1-111-1-11111-111-1-1-1-111-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ711111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-11-1-1-111-1-111111111-1-1-1-111-1-11-11
χ811111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1-11-1-1-111-1-11111-1-1-1-11111-1-111-11-1
χ9111111111111-1-11111-1-1-1-1-1-111111-11-1-111-1-11-11-1-11111-1-1-1-1111111-1-1-1-111-1-11
χ10111111111111-1-11111-1-1-1-1-1-111111-11-1-111-1-11-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ11111111111111-1-111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-11111-1
χ12111111111111-1-111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111111111-1-1-1-11-1-1
χ14111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-111
χ15111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1111111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ1722222222-222-222220022222222-2-2-2-2-20000-2-20-2-20000000000000000000000000
χ1822222222-222-222-2-200-2-2-2-222-2-2-2-2-2-220000220-220000000000000000000000000
χ1922222222-222-2-2-22200-2-2-2-2-2-222-2-2-22-200002202-20000000000000000000000000
χ2022222222-222-2-2-2-2-2002222-2-2-2-2-2-2-2220000-2-20220000000000000000000000000
χ21222222-2-22-2-2200002222-2-20000-2-220000002-22000000-2-222-2-2000000000000000
χ22222222-2-22-2-22000022-2-2220000-2-22000000-222000000-2-2-2-222000000000000000
χ23222222-2-22-2-220000-2-222-2-20000-2-220000002-2-200000022-2-222000000000000000
χ24222222-2-22-2-220000-2-2-2-2220000-2-22000000-22-20000002222-2-2000000000000000
χ25222222-2-2-2-2-2-200000022-2-2000022-2002-22-2-220002-22-2000000000000000000000
χ26222222-2-2-2-2-2-200000022-2-2000022-200-22-22-22000-22-22000000000000000000000
χ27222222-2-2-2-2-2-2000000-2-222000022-2002-2-222-20002-2-22000000000000000000000
χ28222222-2-2-2-2-2-2000000-2-222000022-200-222-22-2000-222-2000000000000000000000
χ292222-2-22-222-22002222000000-2-22-2-20-2002200-20200-2-22-20000000000000000000
χ302222-2-22-222-220022-2-2000000-2-22-2-20-200-2-2002020022-220000000000000000000
χ312222-2-22-222-2200-2-222000000222-2-20200-2-200-20-200222-20000000000000000000
χ322222-2-22-222-2200-2-2-2-2000000222-2-20200220020-200-2-2-220000000000000000000
χ332222-2-22-2-22-2-2002200000000-2-2-222022-2000000-2-2200002-22-2000000000000000
χ342222-2-22-2-22-2-2002200000000-2-2-22202-22000000-22-20000-22-22000000000000000
χ352222-2-22-2-22-2-200-2-20000000022-2220-22-20000002-220000-22-22000000000000000
χ362222-2-22-2-22-2-200-2-20000000022-2220-2-2200000022-200002-22-2000000000000000
χ372222-2-2-222-2222200220000-2-200-22-2-20220000-220-2-200-220000000000000000000
χ382222-2-2-222-2222200-2-20000-2-200-22-2-20-2-2000022022002-20000000000000000000
χ392222-2-2-222-222-2-2002200002200-22-220-2-20000-2-202200-220000000000000000000
χ402222-2-2-222-222-2-200-2-200002200-22-2202200002-20-2-2002-20000000000000000000
χ412222-2-2-22-2-22-22200000000-2-2002-2220002-2000-2000-22002-2-22000000000000000
χ422222-2-2-22-2-22-22200000000-2-2002-222000-22000-20002-200-222-2000000000000000
χ432222-2-2-22-2-22-2-2-20000000022002-22-20002-20002000-2200-222-2000000000000000
χ442222-2-2-22-2-22-2-2-20000000022002-22-2000-2200020002-2002-2-22000000000000000
χ452-22-22-2-2-202202i−2i2i−2i002-22-22i−2i2i−2i00000000000000000000000022−2−2002−2i2−i2i2−i2000
χ462-22-22-2-2-202202i−2i2i−2i002-22-22i−2i2i−2i000000000000000000000000−2−22200−22−i2i2−i2i2000
χ472-22-22-2-2-202202i−2i−2i2i00-22-222i−2i−2i2i00000000000000000000000022−2−200−22i2−i2−i2i2000
χ482-22-22-2-2-202202i−2i−2i2i00-22-222i−2i−2i2i000000000000000000000000−2−222002−2−i2i2i2−i2000
χ492-22-22-2-2-20220−2i2i2i−2i00-22-22−2i2i2i−2i00000000000000000000000022−2−200−22−i2i2i2−i2000
χ502-22-22-2-2-20220−2i2i2i−2i00-22-22−2i2i2i−2i000000000000000000000000−2−222002−2i2−i2−i2i2000
χ512-22-22-2-2-20220−2i2i−2i2i002-22-2−2i2i−2i2i00000000000000000000000022−2−2002−2−i2i2−i2i2000
χ522-22-22-2-2-20220−2i2i−2i2i002-22-2−2i2i−2i2i000000000000000000000000−2−22200−22i2−i2i2−i2000
χ534-44-44-4440-4-400000004-4-440000000000000000000000000000000000000000000
χ544-44-44-4440-4-40000000-444-40000000000000000000000000000000000000000000
χ554-44-4-444-40-4404i−4i00000000−4i4i00000000000000000000000000000000000000000
χ564-44-4-444-40-440−4i4i000000004i−4i00000000000000000000000000000000000000000
χ574-44-4-44-4404-40004i−4i00000000−4i4i000000000000000000000000000000000000000
χ584-44-4-44-4404-4000−4i4i000000004i−4i000000000000000000000000000000000000000
χ594-4-440000400-400004i−4i000000000000000000000000000000002-22-22i−2i000000000
χ604-4-440000400-400004i−4i00000000000000000000000000000000-22-22−2i2i000000000
χ614-4-440000400-40000−4i4i000000000000000000000000000000002-22-2−2i2i000000000
χ624-4-440000400-40000−4i4i00000000000000000000000000000000-22-222i−2i000000000
χ6388-8-8000000000000000000000000000000000000000000000022−22−222200000000000
χ6488-8-80000000000000000000000000000000000000000000000−222222−2200000000000
χ658-8-880000-800800000000000000000000000000000000000000000000000000000

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