Finite Group Databasebeta

← Group #347271

Character table — Group #347271

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422444444444444444222222244444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1111-11-1-1-1-1-1-11-1-1111111-1-111-1-1-11-1
χ4111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1111-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1111-11
χ51111111111111111-1-111111111111-1-1-1-1111-1-1-111-1-1-1-1-1-11-1-11111-1-1111111-1-1-1
χ61111111111111111-1-111111111111-1-1-1-1111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-11-1
χ9111111111111-1-1-1-1111111-1-1-1-111111-1-11-1-11-1-11-111-1-1-1-1-111111111-1-1-1-111-1-11
χ10111111111111-1-1-1-1111111-1-1-1-111111-1-11-1-11-1-11-111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1
χ11111111111111-1-1-1-111-1-1-1-1111111111-1-1-1111-1-1-1-1-1-11111-1-1-111111111-1-1-1-11-1-1
χ12111111111111-1-1-1-111-1-1-1-1111111111-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-111
χ13111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1111-1-1-11111-1-1-11111-1-1-1-1-1-11111-1
χ14111111111111-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1111-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11
χ15111111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-111-111-1-111-1-1-1-1-1111111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-111-111-1-111-1-1-1-1-111-1-1-1-111-1-111111-1-1
χ1722222222-222-222220022222222-2-2-20000-2-2-2000-2-2000000-200000000000000000
χ1822222222-222-2222200-2-2-2-2-2-2-2-2-2-2-200002220002-2000000-200000000000000000
χ1922222222-222-2-2-2-2-2002222-2-2-2-2-2-2-20000-222000-22000000200000000000000000
χ2022222222-222-2-2-2-2-200-2-2-2-22222-2-2-200002-2-200022000000200000000000000000
χ21222222-2-22-2-22000022000022-2-2-2-22-2-20002-2200000022-2-2000000000000000000
χ22222222-2-22-2-220000220000-2-222-2-22-2-2000-222000000-2-222000000000000000000
χ23222222-2-22-2-220000-2-2000022-2-2-2-22220002-2-2000000-2-222000000000000000000
χ24222222-2-22-2-220000-2-20000-2-222-2-2222000-22-200000022-2-2000000000000000000
χ25222222-2-2-2-2-2-2000000000022-2-222-2002-20-2202-2002-2000002-2000000000000000
χ26222222-2-2-2-2-2-2000000000022-2-222-200-220-220-2200-2200000-22000000000000000
χ27222222-2-2-2-2-2-20000000000-2-22222-2002-202-202-200-2200000-22000000000000000
χ28222222-2-2-2-2-2-20000000000-2-22222-200-2202-20-22002-2000002-2000000000000000
χ292222-2-22-222-2200002222-2-200002-2-22-200-200-20020-2-20000022000000000000000
χ302222-2-22-222-22000022-2-22200002-2-22-200200-200-202200000-2-2000000000000000
χ312222-2-22-222-220000-2-222-2-200002-2-2-2200-200200202200000-2-2000000000000000
χ322222-2-22-222-220000-2-2-2-22200002-2-2-2200200200-20-2-20000022000000000000000
χ332222-2-22-2-22-2-200000022-2-20000-222002-22000-22-20002-22-2000000000000000000
χ342222-2-22-2-22-2-200000022-2-20000-22200-2220002-2-2000-22-22000000000000000000
χ352222-2-22-2-22-2-2000000-2-2220000-222002-2-2000-222000-22-22000000000000000000
χ362222-2-22-2-22-2-2000000-2-2220000-22200-22-20002-220002-22-2000000000000000000
χ372222-2-2-222-22222-2-22200000000-22-2-22-2-2000-2220-2000000200000000000000000
χ382222-2-2-222-22222-2-2-2-200000000-22-22-2220002-2-20-2000000200000000000000000
χ392222-2-2-222-222-2-2222200000000-22-2-2222000-2-2-202000000-200000000000000000
χ402222-2-2-222-222-2-222-2-200000000-22-22-2-2-200022202000000-200000000000000000
χ412222-2-2-22-2-22-222-2-200000000002-220000000000022-22-2-22-2-22000000000000000
χ422222-2-2-22-2-22-222-2-200000000002-22000000000002-22-222-2-22-2000000000000000
χ432222-2-2-22-2-22-2-2-22200000000002-2200000000000-22-2-222-22-22000000000000000
χ442222-2-2-22-2-22-2-2-22200000000002-2200000000000-2-222-2-2222-2000000000000000
χ4522-2-2-22-2202-202-22-2002i−2i2i−2i2i−2i2i−2i00000000000000000000000022−2−200i2−i22−2i2−i2000
χ4622-2-2-22-2202-202-22-2002i−2i2i−2i2i−2i2i−2i000000000000000000000000−2−22200−i2i2−22−i2i2000
χ4722-2-2-22-2202-202-22-200−2i2i−2i2i−2i2i−2i2i00000000000000000000000022−2−200−i2i22−2−i2i2000
χ4822-2-2-22-2202-202-22-200−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2−22200i2−i2−22i2−i2000
χ4922-2-2-22-2202-20-22-22002i−2i2i−2i−2i2i−2i2i00000000000000000000000022−2−200−i2i2−22i2−i2000
χ5022-2-2-22-2202-20-22-22002i−2i2i−2i−2i2i−2i2i000000000000000000000000−2−22200i2−i22−2−i2i2000
χ5122-2-2-22-2202-20-22-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000000022−2−200i2−i2−22−i2i2000
χ5222-2-2-22-2202-20-22-2200−2i2i−2i2i2i−2i2i−2i000000000000000000000000−2−22200−i2i22−2i2−i2000
χ5344-4-44-4440-4-404-4-440000000000000000000000000000000000000000000000000
χ5444-4-44-4440-4-40-444-40000000000000000000000000000000000000000000000000
χ5544-4-44-4-4-404400000004i−4i−4i4i0000000000000000000000000000000000000000000
χ5644-4-44-4-4-40440000000−4i4i4i−4i0000000000000000000000000000000000000000000
χ5744-4-4-444-40-44000000000004i−4i−4i4i000000000000000000000000000000000000000
χ5844-4-4-444-40-4400000000000−4i4i4i−4i000000000000000000000000000000000000000
χ594-4-440000400-400004i−4i000000000000000000000000000000002i−2i2i−2i2-2000000000
χ604-4-440000400-400004i−4i00000000000000000000000000000000−2i2i−2i2i-22000000000
χ614-4-440000400-40000−4i4i000000000000000000000000000000002i−2i2i−2i-22000000000
χ624-4-440000400-40000−4i4i00000000000000000000000000000000−2i2i−2i2i2-2000000000
χ638-88-800000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ648-88-80000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ658-8-880000-800800000000000000000000000000000000000000000000000000000

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