Finite Group Databasebeta

← Group #347311

Character table — Group #347311

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422444444444444444222444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-111-1-111111-111-1-1111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11-1
χ41111111111111111-1-1-1-1-1-111-1-111111-111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ511111111111111-1-111-1-1-1-1-1-1111111-11-1-11111-11-1-1-1-1-1-111-1-1111111-1-1-1-111-1-11
χ611111111111111-1-111-1-1-1-1-1-1111111-11-1-11111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1
χ711111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-11-1-1
χ811111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-111
χ9111111111111-1-1111111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1
χ10111111111111-1-1111111111111111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ11111111111111-1-111-1-1-1-1-1-111-1-1111-11-1-1-111-1-11-11111-1-111-1-11111-1-1-1-111-1-11-11
χ12111111111111-1-111-1-1-1-1-1-111-1-1111-11-1-1-111-1-11-11111-1-111-1-1-1-1-1-11111-1-111-11-1
χ13111111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-11111-1
χ14111111111111-1-1-1-111-1-1-1-1-1-111111-1-1111-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ15111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111-1-1
χ172222222-2-22-2-222000022-2-200002-2-22000000-2-20022-2-200002-2000000000000000
χ182222222-2-22-2-2220000-2-22200002-2-22000000-2-200-2-2220000-22000000000000000
χ192222222-2-22-2-2-2-2000022-2-200002-2-2-20000002200-2-22200002-2000000000000000
χ202222222-2-22-2-2-2-20000-2-22200002-2-2-2000000220022-2-20000-22000000000000000
χ21222222-222-22200222222222222-2-2-20-2-2000000-2-200000000-2-2000000000000000
χ22222222-222-2220022-2-2-2-2-2-222-2-2-2-2-20-22000000-220000000022000000000000000
χ23222222-222-22200-2-222-2-2-2-2-2-222-2-2-202-20000002-20000000022000000000000000
χ24222222-222-22200-2-2-2-22222-2-2-2-2-2-2-20220000002200000000-2-2000000000000000
χ25222222-2-2-2-2-2-200000022-2-20000-2220002-22-2000000002-22-2-22000000000000000
χ26222222-2-2-2-2-2-200000022-2-20000-222000-22-2200000000-22-22-22000000000000000
χ27222222-2-2-2-2-2-2000000-2-2220000-2220002-2-22000000002-2-222-2000000000000000
χ28222222-2-2-2-2-2-2000000-2-2220000-222000-222-200000000-222-22-2000000000000000
χ292222-2-222-222-2220022000000-2-2-22-2-20200222-20-2000000-2-200000000000000000
χ302222-2-222-222-22200-2-200000022-22-2-20-200-2-22-2020000002200000000000000000
χ312222-2-222-222-2-2-20022000000-2-2-22-220200-2-2-220-20000002200000000000000000
χ322222-2-222-222-2-2-200-2-200000022-22-220-20022-2202000000-2-200000000000000000
χ332222-2-22-222-222222000000-2-200-2-22-2202200-22-200000-2-20000000000000000000
χ342222-2-22-222-2222-2-20000002200-2-22-2-20-2-200-22200000220000000000000000000
χ352222-2-22-222-22-2-222000000-2-200-2-22220-2-2002-2-200000220000000000000000000
χ362222-2-22-222-22-2-2-2-20000002200-2-222-2022002-2200000-2-20000000000000000000
χ372222-2-2-22-2-22-2000022000000-2-22-2200-22-20000022-22-2-220000000000000000000
χ382222-2-2-22-2-22-2000022000000-2-22-2200-2-22000002-22-222-20000000000000000000
χ392222-2-2-22-2-22-20000-2-2000000222-220022-200000-2-22-22-220000000000000000000
χ402222-2-2-22-2-22-20000-2-2000000222-22002-2200000-22-22-22-20000000000000000000
χ412222-2-2-2-22-2-220022000000-2-20022-20-20002-200202-2-2200-2200000000000000000
χ422222-2-2-2-22-2-220022000000-2-20022-20-2000-220020-222-2002-200000000000000000
χ432222-2-2-2-22-2-2200-2-2000000220022-2020002-200-20-222-200-2200000000000000000
χ442222-2-2-2-22-2-2200-2-2000000220022-202000-2200-202-2-22002-200000000000000000
χ452-22-22-20-2-2022002i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000000i2i2−i2−i200i2−i22−22−2000
χ462-22-22-20-2-2022002i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000000−i2−i2i2i200−i2i2−22−22000
χ472-22-22-20-2-2022002i−2i−2i2i-22-222i−2i−2i2i000000000000000000000000i2i2−i2−i200−i2i22−2−22000
χ482-22-22-20-2-2022002i−2i−2i2i-22-222i−2i−2i2i000000000000000000000000−i2−i2i2i200i2−i2−222−2000
χ492-22-22-20-2-202200−2i2i2i−2i-22-22−2i2i2i−2i000000000000000000000000i2i2−i2−i200−i2i2−222−2000
χ502-22-22-20-2-202200−2i2i2i−2i-22-22−2i2i2i−2i000000000000000000000000−i2−i2i2i200i2−i22−2−22000
χ512-22-22-20-2-202200−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000000000000i2i2−i2−i200i2−i2−22−22000
χ522-22-22-20-2-202200−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000000000000−i2−i2i2i200−i2i22−22−2000
χ5344-4-400400-4004-40000000000000000000000000000000000002-22-22-2000000000
χ5444-4-400400-4004-4000000000000000000000000000000000000-22-22-22000000000
χ5544-4-400400-400-440000000000000000000000000000000000002-22-2-22000000000
χ5644-4-400400-400-44000000000000000000000000000000000000-22-222-2000000000
χ574-44-44-40440-4-40000004-4-440000000000000000000000000000000000000000000
χ584-44-44-40440-4-4000000-444-40000000000000000000000000000000000000000000
χ594-44-4-4404-40-44004i−4i000000−4i4i00000000000000000000000000000000000000000
χ604-44-4-4404-40-4400−4i4i0000004i−4i00000000000000000000000000000000000000000
χ614-44-4-440-4404-400004i−4i000000−4i4i000000000000000000000000000000000000000
χ624-44-4-440-4404-40000−4i4i0000004i−4i000000000000000000000000000000000000000
χ6388-8-800-80080000000000000000000000000000000000000000000000000000000
χ648-8-8800000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ658-8-880000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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