Finite Group Databasebeta

← Group #347316

Character table — Group #347316

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422224444444444444222244444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-1-1-1-1-1111111-11-1-11111-1-1-11-1-1-1-1-1-1111111-1-111-1-1-11-1
χ41111111111111111-1-111-1-1-1-1-1-1111111-11-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ511111111111111-1-11111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1
χ611111111111111-1-11111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ711111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-111111111111-1-1-1-111-1-11-11
χ811111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-11111111-1-1-1-11111-1-111-11-1
χ9111111111111-1-11111-1-111-1-1-1-11111-1-11-11111-1-11-1-1-111-1-1-1-1111111-1-1-1-111-1-11
χ10111111111111-1-11111-1-111-1-1-1-11111-1-11-11111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ11111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-111-1-1-1111111111111-1-1-1-11-1-1
χ12111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-111
χ13111111111111-1-1-1-111-1-111-1-1-1-1111-1111-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-11111-1
χ14111111111111-1-1-1-111-1-111-1-1-1-1111-1111-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-111-111-1-1-1-11111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-111-111-1-1-1-1-1-1-1-111-1-111111-1-1
χ172222222-2-22-2-2002200000022-2-22-2-22000000-2-20002-200022-2-2000000000000000
χ182222222-2-22-2-20022000000-2-2222-2-22000000-2-2000-22000-2-222000000000000000
χ192222222-2-22-2-200-2-200000022-2-22-2-2-2000000220002-2000-2-222000000000000000
χ202222222-2-22-2-200-2-2000000-2-2222-2-2-200000022000-2200022-2-2000000000000000
χ21222222-222-22222002222222222-2-2-2000-2-2000000-2-2-2-2000000000000000000000
χ22222222-222-2222200-2-222-2-2-2-2-2-2-2-2-20002-2000000222-2000000000000000000000
χ23222222-222-222-2-20022-2-222-2-2-2-2-2-2-2000-22000000-2222000000000000000000000
χ24222222-222-222-2-200-2-2-2-2-2-22222-2-2-2000220000002-2-22000000000000000000000
χ25222222-2-2-2-2-2-2000000000022-2-2-22202-2002-2002-20-2202-20000000000000000000
χ26222222-2-2-2-2-2-2000000000022-2-2-2220-2200-2200-220-220-220000000000000000000
χ27222222-2-2-2-2-2-20000000000-2-222-22202-200-22002-202-20-220000000000000000000
χ28222222-2-2-2-2-2-20000000000-2-222-2220-22002-200-2202-202-20000000000000000000
χ292222-2-222-222-200222200-2-20000-22-2-20020222-200-2000-2-20000000000000000000
χ302222-2-222-222-20022-2-200220000-22-2-200-20-2-22-2002000220000000000000000000
χ312222-2-222-222-200-2-22200-2-20000-22-220020-2-2-2200-2000220000000000000000000
χ322222-2-222-222-200-2-2-2-200220000-22-2200-2022-22002000-2-20000000000000000000
χ332222-2-22-222-22222200-2-2000000-2-22-2220200-22-2-2000-2000000000000000000000
χ342222-2-22-222-2222-2-200-2-2000000-2-222-2-202002-222000-2000000000000000000000
χ352222-2-22-222-22-2-2220022000000-2-22-2-2-20-200-22220002000000000000000000000
χ362222-2-22-222-22-2-2-2-20022000000-2-222220-2002-2-2-20002000000000000000000000
χ372222-2-2-22-2-22-200002200-2-200002-2202-2-200000-222000002-22-2000000000000000
χ382222-2-2-22-2-22-200002200-2-200002-220-22-2000002-2200000-22-22000000000000000
χ392222-2-2-22-2-22-20000-2-2002200002-2202-2200000-22-200000-22-22000000000000000
χ402222-2-2-22-2-22-20000-2-2002200002-220-222000002-2-2000002-22-2000000000000000
χ412222-2-2-2-22-2-22220000-2-200000022-20000-22-200000002-222-2-22000000000000000
χ422222-2-2-2-22-2-22220000-2-200000022-20000-2-22000000022-2-222-2000000000000000
χ432222-2-2-2-22-2-22-2-200002200000022-2000022-20000000-2-22-222-2000000000000000
χ442222-2-2-2-22-2-22-2-200002200000022-200002-220000000-22-22-2-22000000000000000
χ452-22-2-220-2202-22-2002i−2i2-22i−2i2i−2i2i−2i00000000000000000000000022−2−200i2−i22−2i2−i2000
χ462-22-2-220-2202-22-2002i−2i2-22i−2i2i−2i2i−2i000000000000000000000000−2−22200−i2i2−22−i2i2000
χ472-22-2-220-2202-22-200−2i2i2-2−2i2i−2i2i−2i2i00000000000000000000000022−2−200−i2i22−2−i2i2000
χ482-22-2-220-2202-22-200−2i2i2-2−2i2i−2i2i−2i2i000000000000000000000000−2−22200i2−i2−22i2−i2000
χ492-22-2-220-2202-2-22002i−2i-222i−2i−2i2i−2i2i00000000000000000000000022−2−200−i2i2−22i2−i2000
χ502-22-2-220-2202-2-22002i−2i-222i−2i−2i2i−2i2i000000000000000000000000−2−22200i2−i22−2−i2i2000
χ512-22-2-220-2202-2-2200−2i2i-22−2i2i2i−2i2i−2i00000000000000000000000022−2−200i2−i2−22−i2i2000
χ522-22-2-220-2202-2-2200−2i2i-22−2i2i2i−2i2i−2i000000000000000000000000−2−22200−i2i22−2i2−i2000
χ5344-4-400400-400004-400000000000000000000000000000000002-22-22-2000000000
χ5444-4-400400-400004-40000000000000000000000000000000000-22-22-22000000000
χ5544-4-400400-40000-4400000000000000000000000000000000002-22-2-22000000000
χ5644-4-400400-40000-440000000000000000000000000000000000-22-222-2000000000
χ574-44-44-40440-4-44-40000-44000000000000000000000000000000000000000000000
χ584-44-44-40440-4-4-4400004-4000000000000000000000000000000000000000000000
χ594-44-44-40-4-404400004i−4i00−4i4i0000000000000000000000000000000000000000000
χ604-44-44-40-4-40440000−4i4i004i−4i0000000000000000000000000000000000000000000
χ614-44-4-4404-40-4400000000004i−4i−4i4i000000000000000000000000000000000000000
χ624-44-4-4404-40-440000000000−4i4i4i−4i000000000000000000000000000000000000000
χ6388-8-800-80080000000000000000000000000000000000000000000000000000000
χ648-8-88000000000000000000000000000000000000000000000022−22−222200000000000
χ658-8-880000000000000000000000000000000000000000000000−222222−2200000000000

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