Finite Group Databasebeta

← Group #347259

Character table — Group #347259

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422444444444444444222224444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111111-1-1-1-11-1-1111-1-1-11-1-1-1-1-1-11111-1-1111111-1-1-1
χ41111111111111111111111-1-1111111-1-1-1-11-1-1111-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111-1-1-1-1-1-11111-1-1111-111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-1
χ611111111111111-1-1-1-1-1-11111-1-1111-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ711111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111111111111-1-1-1-111-1-11-11
χ811111111111111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-111-11-1
χ9111111111111-1-11111-1-1-1-111-1-1111-111-1-1-1-1-111-11-1-1-11111-1-111111111-1-1-1-11-1-1
χ10111111111111-1-11111-1-1-1-111-1-1111-111-1-1-1-1-111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111
χ11111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-11111-1-111-1-1-1-1-1111111-1-111-1-1-1-1-111
χ12111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-11111-1-111-1-1-1-1-111-1-1-1-111-1-111111-1-1
χ13111111111111-1-1-1-1-1-111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-111111111-1-1-1-111-1-11
χ14111111111111-1-1-1-1-1-111-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1
χ15111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-11-111-11111-1-11111-1-1-1-1-1-11111-1
χ16111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-11-111-11111-1-1-1-1-1-1111111-1-1-1-11
χ1722222222-222-222222222220022-2-2-2-20000-200-2-2-2000-2000000000000000000000
χ1822222222-222-222-2-2-2-2-2-22200-2-2-2-2-220000-200222000-2000000000000000000000
χ1922222222-222-2-2-22222-2-2-2-200-2-2-2-2-220000200-2-220002000000000000000000000
χ2022222222-222-2-2-2-2-2-2-222-2-20022-2-2-2-2000020022-20002000000000000000000000
χ21222222-2-22-2-220022-2-200002200-2-220-2-2000002-20200022-2-200000000000000000
χ22222222-2-22-2-220022-2-20000-2-200-2-22022000002-20-2000-2-22200000000000000000
χ23222222-2-22-2-2200-2-22200002200-2-220-2-200000-2202000-2-22200000000000000000
χ24222222-2-22-2-2200-2-2220000-2-200-2-2202200000-220-200022-2-200000000000000000
χ25222222-2-2-2-2-2-20022-2-20000000022-20002-202-2-22002-2000002-2000000000000000
χ26222222-2-2-2-2-2-20022-2-20000000022-2000-220-22-2200-2200000-22000000000000000
χ27222222-2-2-2-2-2-200-2-2220000000022-20002-20-222-2002-200000-22000000000000000
χ28222222-2-2-2-2-2-200-2-2220000000022-2000-2202-22-200-22000002-2000000000000000
χ292222-2-22-222-22000000220022-2-22-2-2-22-2000-2-2002-2000000022000000000000000
χ302222-2-22-222-220000002200-2-2-2-22-2-2-2-220002200220000000-2-2000000000000000
χ312222-2-22-222-22000000-2-20022222-2-222-20002200-2-20000000-2-2000000000000000
χ322222-2-22-222-22000000-2-200-2-2222-2-22-22000-2-200-22000000022000000000000000
χ332222-2-22-2-22-2-2000000220000-2-2-2222002-200000-20-2202-22-200000000000000000
χ342222-2-22-2-22-2-2000000220000-2-2-222200-2200000-202-20-22-2200000000000000000
χ352222-2-22-2-22-2-2000000-2-2000022-222-2002-20000020-220-22-2200000000000000000
χ362222-2-22-2-22-2-2000000-2-2000022-222-200-2200000202-202-22-200000000000000000
χ372222-2-2-222-22222000000-2-22200-22-20-22-2-2-200000-2222000000000000000000000
χ382222-2-2-222-22222000000-2-2-2-200-22-202-222-2000002-2-22000000000000000000000
χ392222-2-2-222-222-2-2000000222200-22-20-2222200000-2-2-2-2000000000000000000000
χ402222-2-2-222-222-2-200000022-2-200-22-202-2-2-2200000222-2000000000000000000000
χ412222-2-2-22-2-22-222000000-2-200002-220000022-2000000-22-2-22-22000000000000000
χ422222-2-2-22-2-22-222000000-2-200002-22000002-22000000-2-222-22-2000000000000000
χ432222-2-2-22-2-22-2-2-20000002200002-2200000-22-20000002-222-2-22000000000000000
χ442222-2-2-22-2-22-2-2-20000002200002-2200000-2-2200000022-2-222-2000000000000000
χ452-22-2-22-2202-202-22i−2i2i−2i2i−2i2-2002i−2i00000000000000000000000022−2−200i2−i22−2i2−i2000
χ462-22-2-22-2202-202-22i−2i2i−2i2i−2i2-2002i−2i000000000000000000000000−2−22200−i2i2−22−i2i2000
χ472-22-2-22-2202-202-2−2i2i−2i2i−2i2i2-200−2i2i00000000000000000000000022−2−200−i2i22−2−i2i2000
χ482-22-2-22-2202-202-2−2i2i−2i2i−2i2i2-200−2i2i000000000000000000000000−2−22200i2−i2−22i2−i2000
χ492-22-2-22-2202-20-222i−2i2i−2i−2i2i-2200−2i2i00000000000000000000000022−2−200i2−i2−22−i2i2000
χ502-22-2-22-2202-20-222i−2i2i−2i−2i2i-2200−2i2i000000000000000000000000−2−22200−i2i22−2i2−i2000
χ512-22-2-22-2202-20-22−2i2i−2i2i2i−2i-22002i−2i00000000000000000000000022−2−200−i2i2−22i2−i2000
χ522-22-2-22-2202-20-22−2i2i−2i2i2i−2i-22002i−2i000000000000000000000000−2−22200i2−i22−2−i2i2000
χ534-44-44-4440-4-404-4000000-440000000000000000000000000000000000000000000
χ544-44-44-4440-4-40-440000004-40000000000000000000000000000000000000000000
χ554-44-44-4-4-404400000004i−4i0000−4i4i000000000000000000000000000000000000000
χ564-44-44-4-4-40440000000−4i4i00004i−4i000000000000000000000000000000000000000
χ574-44-4-444-40-440004i−4i−4i4i00000000000000000000000000000000000000000000000
χ584-44-4-444-40-44000−4i4i4i−4i00000000000000000000000000000000000000000000000
χ594-4-440000400-400000000004i−4i000000000000000000000000002-22-22i−2i000000000
χ604-4-440000400-400000000004i−4i00000000000000000000000000-22-22−2i2i000000000
χ614-4-440000400-40000000000−4i4i000000000000000000000000002-22-2−2i2i000000000
χ624-4-440000400-40000000000−4i4i00000000000000000000000000-22-222i−2i000000000
χ6388-8-8000000000000000000000000000000000000000000000022−22−222200000000000
χ6488-8-80000000000000000000000000000000000000000000000−222222−2200000000000
χ658-8-880000-800800000000000000000000000000000000000000000000000000000

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