Finite Group Databasebeta

← Group #347239

Character table — Group #347239

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422444444444444444222444444444444444444888844888888288
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-1-1-1-1-111111-111-1-111-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-11-1
χ41111111111111111-1-111-1-1-1-1-1-111111-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ511111111111111-1-111-1-111-1-1-1-11111-11-1-111-1-111-1-111-11-1-1-1-1111111-1-1-1-111-1-11
χ611111111111111-1-111-1-111-1-1-1-11111-11-1-111-1-111-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ711111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-11-1-1
χ811111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-111
χ9111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1
χ10111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ11111111111111-1-111-1-111-1-1-1-1-1-1111-11-1-1-111-1-111-1-1-1-11-111111111-1-1-1-111-1-11-11
χ12111111111111-1-111-1-111-1-1-1-1-1-1111-11-1-1-111-1-111-1-1-1-11-11111-1-1-1-11111-1-111-11-1
χ13111111111111-1-1-1-111-1-111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1
χ14111111111111-1-1-1-111-1-111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ172222222-2-22-2-2220000000022-2-22-2-2200000000002-2-2-20022-2-2000000000000000
χ182222222-2-22-2-22200000000-2-2222-2-220000000000-22-2-200-2-222000000000000000
χ192222222-2-22-2-2-2-20000000022-2-22-2-2-200000000002-22200-2-222000000000000000
χ202222222-2-22-2-2-2-200000000-2-2222-2-2-20000000000-22220022-2-2000000000000000
χ21222222-222-22200222222222222-2-2-20-2-200000000-2-200-2-20000000000000000000
χ22222222-222-2220022-2-222-2-2-2-2-2-2-2-2-20-22000000002200-220000000000000000000
χ23222222-222-22200-2-222-2-222-2-2-2-2-2-2-202-20000000022002-20000000000000000000
χ24222222-222-22200-2-2-2-2-2-2-2-22222-2-2-202200000000-2-200220000000000000000000
χ25222222-2-2-2-2-2-2000000000022-2-2-2220002-22-22-22-2-2200000000000000000000000
χ26222222-2-2-2-2-2-2000000000022-2-2-222000-22-22-22-22-2200000000000000000000000
χ27222222-2-2-2-2-2-20000000000-2-222-2220002-2-222-2-222-200000000000000000000000
χ28222222-2-2-2-2-2-20000000000-2-222-222000-222-2-222-22-200000000000000000000000
χ292222-2-222-222-222002200-2-20000-22-2-202002200-2-2002-20-20000000000000000000
χ302222-2-222-222-22200-2-200220000-22-2-20-200-2-20022002-2020000000000000000000
χ312222-2-222-222-2-2-2002200-2-20000-22-220200-2-2002200-220-20000000000000000000
χ322222-2-222-222-2-2-200-2-200220000-22-220-2002200-2-200-22020000000000000000000
χ332222-2-22-222-22222200-2-2000000-2-22-2202200-2-20000-22-200000000000000000000
χ342222-2-22-222-2222-2-20022000000-2-22-2-20-2-200220000-22200000000000000000000
χ352222-2-22-222-22-2-22200-2-2000000-2-22220-2-2002200002-2-200000000000000000000
χ362222-2-22-222-22-2-2-2-20022000000-2-222-202200-2-200002-2200000000000000000000
χ372222-2-2-22-2-22-200002200-2-200002-2200-22-200-22000000022-22-2000000000000000
χ382222-2-2-22-2-22-200002200-2-200002-2200-2-22002-200000002-22-22000000000000000
χ392222-2-2-22-2-22-20000-2-2002200002-220022-200-220000000-2-22-22000000000000000
χ402222-2-2-22-2-22-20000-2-2002200002-22002-22002-20000000-22-22-2000000000000000
χ412222-2-2-2-22-2-22002200-2-200000022-20-20002-200-220000202-2-22000000000000000
χ422222-2-2-2-22-2-22002200-2-200000022-20-2000-22002-2000020-222-2000000000000000
χ432222-2-2-2-22-2-2200-2-2002200000022-2020002-200-220000-20-222-2000000000000000
χ442222-2-2-2-22-2-2200-2-2002200000022-202000-22002-20000-202-2-22000000000000000
χ452-2-22-220220-2-2002i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000022−2−2002−2i2−i2i2−i2000
χ462-2-22-220220-2-2002i−2i2i−2i2i−2i2i−2i2-22-2000000000000000000000000−2−22200−22−i2i2−i2i2000
χ472-2-22-220220-2-2002i−2i−2i2i2i−2i−2i2i-22-2200000000000000000000000022−2−200−22i2−i2−i2i2000
χ482-2-22-220220-2-2002i−2i−2i2i2i−2i−2i2i-22-22000000000000000000000000−2−222002−2−i2i2i2−i2000
χ492-2-22-220220-2-200−2i2i2i−2i−2i2i2i−2i-22-2200000000000000000000000022−2−200−22−i2i2i2−i2000
χ502-2-22-220220-2-200−2i2i2i−2i−2i2i2i−2i-22-22000000000000000000000000−2−222002−2i2−i2−i2i2000
χ512-2-22-220220-2-200−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000022−2−2002−2−i2i2−i2i2000
χ522-2-22-220220-2-200−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000−2−22200−22i2−i2i2−i2000
χ5344-4-400-4004004-40000000000000000000000000000000000002i−2i2i−2i2i−2i000000000
χ5444-4-400-4004004-4000000000000000000000000000000000000−2i2i−2i2i−2i2i000000000
χ5544-4-400-400400-440000000000000000000000000000000000002i−2i2i−2i−2i2i000000000
χ5644-4-400-400400-44000000000000000000000000000000000000−2i2i−2i2i2i−2i000000000
χ574-4-444-404-40-4400004i−4i00−4i4i0000000000000000000000000000000000000000000
χ584-4-444-404-40-440000−4i4i004i−4i0000000000000000000000000000000000000000000
χ594-4-444-40-4404-4004i−4i00−4i4i000000000000000000000000000000000000000000000
χ604-4-444-40-4404-400−4i4i004i−4i000000000000000000000000000000000000000000000
χ614-4-44-440-4-404400000000004-4-44000000000000000000000000000000000000000
χ624-4-44-440-4-40440000000000-444-4000000000000000000000000000000000000000
χ6388-8-800800-80000000000000000000000000000000000000000000000000000000
χ648-88-800000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ658-88-80000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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