Finite Group Databasebeta

← Group #347487

Character table — Group #347487

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112244444444888888888888888888888888888161616161616161632323232
order12224424444444222222222444444444444444444448888884888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11-1-11111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111-1-1-1-11-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111-1-1-1-1111-111-1-1-1-1-11-1-1-11111-1-1-1111111-1-1-1-11-1
χ6111111111111111-1-1-1-1111-111-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-11111-11
χ7111111111111111-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-1-11111111-1-111-1-1-11
χ8111111111111111-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-1-1111-1-1-1-111-1-1111-1
χ91111111-1-111111-111-1-111-11-1-1111-1-1-11-1-1-111-11-1-111-1-1-1-1111-11-1
χ101111111-1-111111-111-1-111-11-1-1111-1-1-11-1-1-111-11-1-1-1-11111-1-1-11-11
χ111111111-1-111111-111-1-1-1-11-1-11-111-1-11-111-1-1-11-11111-1-111-1-11-1-11
χ121111111-1-111111-111-1-1-1-11-1-11-111-1-11-111-1-1-11-111-1-111-1-111-111-1
χ131111111-1-111111-1-1-11111-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-1-1-1-1111
χ141111111-1-111111-1-1-11111-1-1-1-1-1-1-111-1-111-111-1-111-1-11111111-1-1-1
χ151111111-1-111111-1-1-111-1-111-111-1-11111-1-1-1-1-111-1-111-1-11111-11-1-1
χ161111111-1-111111-1-1-111-1-111-111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-11-111
χ17222222222-2-22-2-22222-20000-200-2-22-20000-2000000000000000000
χ18222222222-2-22-2-22-2-2-220000-20022-220000-2000000000000000000
χ192222222-2-2-2-22-2-2-222-220000200-2-2-2200002000000000000000000
χ202222222-2-2-2-22-2-2-2-2-22-20000200222-200002000000000000000000
χ21222222-2222-2-22-2-200000002-20-2000002222000-2-2-2000000000000
χ22222222-2222-2-22-2-20000000-2-20200000-2-2-22000222000000000000
χ23222222-222-22-2-22-2000022202-2000002000-2-2-2-2000000000000000
χ24222222-222-22-2-22-20000-2-2-202200000-2000-2222000000000000000
χ25222222-2-2-22-2-22-220000000220-2000002-2-2-2000-222000000000000
χ26222222-2-2-22-2-22-220000000-220200000-222-20002-2-2000000000000
χ27222222-2-2-2-22-2-222000022-20-2200000-20002-2-22000000000000000
χ28222222-2-2-2-22-2-2220000-2-220-2-2000002000222-2000000000000000
χ292222-2-220022-2-2-202-2002-20200-22-2000-20002-20200000000000000
χ302222-2-220022-2-2-202-200-220-20022-20002000-220-200000000000000
χ312222-2-220022-2-2-20-22002-20-2002-2200020002-20-200000000000000
χ322222-2-220022-2-2-20-2200-220200-2-22000-2000-220200000000000000
χ332222-2-2200-2-2-22202-2000020020-2200-202-2000-202-2000000000000
χ342222-2-2200-2-2-22202-20000-200-20-220020-2200020-22000000000000
χ352222-2-2200-2-2-2220-220000200202-200-20-22000-20-22000000000000
χ362222-2-2200-2-2-2220-220000-200-202-200202-2000202-2000000000000
χ372222-2-2-2002-22-220002-200220-2200-22-2-2000002-200000000000000
χ382222-2-2-2002-22-220002-200-2-202-200-222200000-2200000000000000
χ392222-2-2-2002-22-22000-22002-20-2-2002-2-22000002200000000000000
χ402222-2-2-2002-22-22000-2200-22022002-22-200000-2-200000000000000
χ412222-2-2-200-2222-2000222-20000000-2-2002-20-2200-22000000000000
χ422222-2-2-200-2222-200022-220000000-2-200-2202-2002-2000000000000
χ432222-2-2-200-2222-2000-2-22-200000002200-220-22002-2000000000000
χ442222-2-2-200-2222-2000-2-2-22000000022002-202-200-22000000000000
χ454-44-44-404-4000000000000000000000000000000002i−2i2i−2i00000000
χ464-44-44-404-400000000000000000000000000000000−2i2i−2i2i00000000
χ474-44-44-40-44000000000000000000000000000000002i−2i−2i2i00000000
χ484-44-44-40-4400000000000000000000000000000000−2i2i2i−2i00000000
χ4988-8-80000000000000000000000000000000000000000022−22000000
χ5088-8-800000000000000000000000000000000000000000−2222000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-88000000000000000000000000000000000000000000022−220000
χ538-8-880000000000000000000000000000000000000000000−22220000

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