Finite Group Databasebeta

← Group #347394

Character table — Group #347394

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444422444222222222224444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ5111111111111111111-1-1-1-1-1-1111-111-1-11111-1-1-1-11-1-1-1111111-1-111-1-1-11-1
χ6111111111111111111-1-1-1-1-1-1111-111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1111-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1111111111-1-1-1-111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1111-1-1-1-1-1-11111-1-111-1
χ9111111111111-1-1111-11111-1-111-11-1-1-1-111-1-111-1-1-11-1-11111-1-1-1-1-1-11111-1
χ10111111111111-1-1111-11111-1-111-11-1-1-1-111-1-111-1-1-11-1-1-1-1-1-1111111-1-1-1-11
χ11111111111111-1-1111-11111-1-1-1-11-1-1-1-1-1-1-111-1-1111-1111111-1-1-1-111-1-11-11
χ12111111111111-1-1111-11111-1-1-1-11-1-1-1-1-1-1-111-1-1111-111-1-1-1-11111-1-111-11-1
χ13111111111111-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-111
χ14111111111111-1-1111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111111-1-1
χ15111111111111-1-1111-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-11111-1-1111111-1-1-1
χ16111111111111-1-1111-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111
χ1722222222-222-200-2-2-20000022002-200-2-2002-22-200-2200000000000000000
χ1822222222-222-200-2-2-2000002200-2200-2-200-22-22002-200000000000000000
χ1922222222-222-200-2-2-200000-2-200220022002-2-2200-2-200000000000000000
χ2022222222-222-200-2-2-200000-2-200-2-2002200-222-2002200000000000000000
χ21222222-2-22-2-22222-2-2222-2-22-20000-2-22-2000000000000000000000000000
χ22222222-2-22-2-22222-2-22-2-222-220000-2-2-22000000000000000000000000000
χ23222222-2-22-2-22-2-22-2-2-222-2-2-22000022-22000000000000000000000000000
χ24222222-2-22-2-22-2-22-2-2-2-2-2222-20000222-2000000000000000000000000000
χ25222222-2-2-2-2-2-200-222000002-22-20000-222-200002-2002-2000000000000000
χ26222222-2-2-2-2-2-200-222000002-2-220000-22-220000-2200-22000000000000000
χ27222222-2-2-2-2-2-200-22200000-222-200002-22-20000-2200-22000000000000000
χ28222222-2-2-2-2-2-200-22200000-22-2200002-2-2200002-2002-2000000000000000
χ292222-2-22-222-2222-22-2-200000000022-20000002-2220-2-2-2000000000000000
χ302222-2-22-222-2222-22-2-2000000000-22-2000000-22-2-20222000000000000000
χ312222-2-22-222-22-2-2-22-220000000002-220000002-2-2-20-222000000000000000
χ322222-2-22-222-22-2-2-22-22000000000-2-22000000-222202-2-2000000000000000
χ332222-2-22-2-22-2-2002-2202-22-2002-2020000-2200-2-2000200000000000000000
χ342222-2-22-2-22-2-2002-2202-22-200-220-200002-20022000-200000000000000000
χ352222-2-22-2-22-2-2002-220-22-22002-20-20000-220022000-200000000000000000
χ362222-2-22-2-22-2-2002-220-22-2200-220200002-200-2-2000200000000000000000
χ372222-2-2-222-22222-2-22-20000002220-2200-2-2-220000-2000000000000000000
χ382222-2-2-222-22222-2-22-2000000-2-2-20-2200222-200002000000000000000000
χ392222-2-2-222-222-2-2-2-22200000022-202-200-2-22-200002000000000000000000
χ402222-2-2-222-222-2-2-2-222000000-2-2202-20022-220000-2000000000000000000
χ412222-2-2-22-2-22-20022-202-2-22000020000000-2-200-22202-2000000000000000
χ422222-2-2-22-2-22-20022-202-2-220000-2000000022002-2-20-22000000000000000
χ432222-2-2-22-2-22-20022-20-222-2000020000000-2-2002-220-22000000000000000
χ442222-2-2-22-2-22-20022-20-222-20000-200000002200-22-202-2000000000000000
χ4544-4-40000400-44-40000000000000000000000000000002i2i−2i−2i2i−2i000000000
χ4644-4-40000400-44-4000000000000000000000000000000−2i−2i2i2i−2i2i000000000
χ4744-4-40000400-4-440000000000000000000000000000002i2i−2i−2i−2i2i000000000
χ4844-4-40000400-4-44000000000000000000000000000000−2i−2i2i2i2i−2i000000000
χ494-44-44-44-40-440000000000000000000000000000000002i2−2i22i2−2i200000000000
χ504-44-44-44-40-44000000000000000000000000000000000−2i22i2−2i22i200000000000
χ514-44-44-4-4404-40000000000000000000000000000000000000002i2−2i20000000
χ524-44-44-4-4404-4000000000000000000000000000000000000000−2i22i20000000
χ534-44-4-44440-4-400000000000000000000000000000000000000000002i2−2i2000
χ544-44-4-44440-4-40000000000000000000000000000000000000000000−2i22i2000
χ554-44-4-44-4-40440000000000000000000000000000000000000000022−2200000
χ564-44-4-44-4-404400000000000000000000000000000000000000000−222200000
χ5788-8-80000-800800000000000000000000000000000000000000000000000
χ588-8-88000000000000000000000000000000000000000022−22−222200000000000
χ598-8-880000000000000000000000000000000000000000−222222−2200000000000

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