Finite Group Databasebeta

← Group #347312

Character table — Group #347312

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422444444444444444222444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111111111111-1-11-1-1-1111-1-1-1-1-1-11-1-1-1-11111-1-1111111-1-1-1
χ41111111111111111-1-1111111111111-1-11-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1-111111111111-1-111-1-1-11-1
χ611111111111111-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1111-11
χ711111111111111-1-1-1-111-1-1-1-1-1-1111-1111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111-1-11-11
χ811111111111111-1-1-1-111-1-1-1-1-1-1111-1111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-11-1
χ9111111111111-1-11111-1-111-1-1-1-1111111-11-1-11-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-11
χ10111111111111-1-11111-1-111-1-1-1-1111111-11-1-11-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1
χ11111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111-1
χ12111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1-1-111-1-1-1-11111111-1-1-1-11-1-1-111-1-11111-111-1-111111111-1-1-1-11-1-1
χ14111111111111-1-1-1-111-1-1-1-11111111-1-1-1-11-1-1-111-1-11111-111-1-1-1-1-1-1-1-1-1-11111-111
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-11111-1-1-1-1-1-1-1111111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-11111-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-1
χ172222222-2-22-2-2000022000022-2-22-2-2000020002-20022-2-20-2-200000000000000000
χ182222222-2-22-2-20000220000-2-2222-2-200002000-2200-2-2220-2-200000000000000000
χ192222222-2-22-2-20000-2-2000022-2-22-2-20000-20002-200-2-22202200000000000000000
χ202222222-2-22-2-20000-2-20000-2-2222-2-20000-2000-220022-2-202200000000000000000
χ21222222-222-22222220022222222-2-2-2-200-2000-2-2-2000000-20000000000000000000
χ22222222-222-22222-2-20022-2-2-2-2-2-2-2-2-2200-2000222000000-20000000000000000000
χ23222222-222-222-2-22200-2-222-2-2-2-2-2-2-2-2002000-22200000020000000000000000000
χ24222222-222-222-2-2-2-200-2-2-2-22222-2-2-220020002-2-200000020000000000000000000
χ25222222-2-2-2-2-2-2000000000022-2-2-22202-2002-20-222-200000002-2000000000000000
χ26222222-2-2-2-2-2-2000000000022-2-2-2220-2200-220-22-220000000-22000000000000000
χ27222222-2-2-2-2-2-20000000000-2-222-22202-200-2202-22-20000000-22000000000000000
χ28222222-2-2-2-2-2-20000000000-2-222-2220-22002-202-2-2200000002-2000000000000000
χ292222-2-222-222-200222200-2-20000-22-22220-200-200-2-2000002-200000000000000000
χ302222-2-222-222-20022-2-200-2-20000-22-22-2-20200-2002200000-2200000000000000000
χ312222-2-222-222-200-2-22200220000-22-2-2-2-20-20020022000002-200000000000000000
χ322222-2-222-222-200-2-2-2-200220000-22-2-2220200200-2-200000-2200000000000000000
χ332222-2-22-222-22220022-2-2000000-2-220002-222000000000-2-22-2-2000000000000000
χ342222-2-22-222-222200-2-2-2-2000000-2-2200022-2-2000000000-22-222000000000000000
χ352222-2-22-222-22-2-2002222000000-2-22000-2-2-2-20000000002-2222000000000000000
χ362222-2-22-222-22-2-200-2-222000000-2-22000-222200000000022-2-2-2000000000000000
χ372222-2-2-22-2-22-200220000-2-200002-22-200002-2200002-22-2000-22000000000000000
χ382222-2-2-22-2-22-200220000-2-200002-22-20000-2220000-22-220002-2000000000000000
χ392222-2-2-22-2-22-200-2-200002200002-22200002-2-20000-22-22000-22000000000000000
χ402222-2-2-22-2-22-200-2-200002200002-2220000-22-200002-22-20002-2000000000000000
χ412222-2-2-2-22-2-22220000-2-200000022-202-2-2000000-222-2-2220000000000000000000
χ422222-2-2-2-22-2-22220000-2-200000022-20-22-20000002-2-222-220000000000000000000
χ432222-2-2-2-22-2-22-2-200002200000022-202-22000000-22-222-2-20000000000000000000
χ442222-2-2-2-22-2-22-2-200002200000022-20-2220000002-22-2-22-20000000000000000000
χ452-22-2-220-2202-22-22i−2i002-22i−2i2i−2i2i−2i000000000000000000000000i2i2−i2−i2002−2i2−i22−2000
χ462-22-2-220-2202-22-22i−2i002-22i−2i2i−2i2i−2i000000000000000000000000−i2−i2i2i200−22−i2i2−22000
χ472-22-2-220-2202-22-2−2i2i002-2−2i2i−2i2i−2i2i000000000000000000000000i2i2−i2−i200−22i2−i2−22000
χ482-22-2-220-2202-22-2−2i2i002-2−2i2i−2i2i−2i2i000000000000000000000000−i2−i2i2i2002−2−i2i22−2000
χ492-22-2-220-2202-2-222i−2i00-222i−2i−2i2i−2i2i000000000000000000000000i2i2−i2−i200−22−i2i22−2000
χ502-22-2-220-2202-2-222i−2i00-222i−2i−2i2i−2i2i000000000000000000000000−i2−i2i2i2002−2i2−i2−22000
χ512-22-2-220-2202-2-22−2i2i00-22−2i2i2i−2i2i−2i000000000000000000000000i2i2−i2−i2002−2−i2i2−22000
χ522-22-2-220-2202-2-22−2i2i00-22−2i2i2i−2i2i−2i000000000000000000000000−i2−i2i2i200−22i2−i22−2000
χ5344-4-400400-40000004-4000000000000000000000000000000002-22-22-2000000000
χ5444-4-400400-40000004-400000000000000000000000000000000-22-22-22000000000
χ5544-4-400400-4000000-44000000000000000000000000000000002-22-2-22000000000
χ5644-4-400400-4000000-4400000000000000000000000000000000-22-222-2000000000
χ574-44-44-40440-4-44-40000-44000000000000000000000000000000000000000000000
χ584-44-44-40440-4-4-4400004-4000000000000000000000000000000000000000000000
χ594-44-44-40-4-4044004i−4i0000−4i4i0000000000000000000000000000000000000000000
χ604-44-44-40-4-404400−4i4i00004i−4i0000000000000000000000000000000000000000000
χ614-44-4-4404-40-4400000000004i−4i−4i4i000000000000000000000000000000000000000
χ624-44-4-4404-40-440000000000−4i4i4i−4i000000000000000000000000000000000000000
χ6388-8-800-80080000000000000000000000000000000000000000000000000000000
χ648-8-8800000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ658-8-880000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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