Finite Group Databasebeta

← Group #347488

Character table — Group #347488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112244444444888888888888888888888888888161616161616161632323232
order12224424444444222224444444444444444444444448888884888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111-1-1111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111-1-11-11-1-1111-11-1-1111-1-1-1-1-11-1-1-1111111-1-1-1-11-1
χ6111111111111111-1-11-11-1-1111-11-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-11
χ7111111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1111-1-1-11111111-1-111-1-1-11
χ8111111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1111-1-1-1111-1-1-1-111-1-1111-1
χ91111111-1-111111-11111-1-1-11-1-11-1111-1-11-1-1-1-111-1-111-1-11111-11-1-1
χ101111111-1-111111-11111-1-1-11-1-11-1111-1-11-1-1-1-111-1-1-1-111-1-1-1-11-111
χ111111111-1-111111-111-1-1-1-1-1-111-1-111-111-111-1-1-1-11111-1-1-1-1-1-1-1111
χ121111111-1-111111-111-1-1-1-1-1-111-1-111-111-111-1-1-1-111-1-11111111-1-1-1
χ131111111-1-111111-1-1-11-1-1111-1-1-1-1-1-11-1-1-111111-11111-1-111-1-11-1-11
χ141111111-1-111111-1-1-11-1-1111-1-1-1-1-1-11-1-1-111111-111-1-111-1-111-111-1
χ151111111-1-111111-1-1-1-11-111-1111-1-1-1-1111-1-111-11-1-111-1-1-1-1111-11-1
χ161111111-1-111111-1-1-1-11-111-1111-1-1-1-1111-1-111-11-1-1-1-11111-1-1-11-11
χ17222222222-2-22-2-2-22-2002220000-22-2000000-2-20000000000000000
χ18222222222-2-22-2-2-2-22002-2-20000-2-22000000220000000000000000
χ192222222-2-2-2-22-2-222-200-2-2-2000022-2000000220000000000000000
χ202222222-2-2-2-22-2-22-2200-22200002-22000000-2-20000000000000000
χ21222222-2222-2-22-220020-200-2220-2002-2-200000-2000000000000000
χ22222222-2222-2-22-2200-20-2002-2-20-200-222000002000000000000000
χ23222222-222-22-2-22-20002-200000-22000002-2-2000-222000000000000
χ24222222-222-22-2-22-2000-2-2000002200000-2220002-2-2000000000000
χ25222222-2-2-22-2-22-2-20020200-2-2-2020022200000-2000000000000000
χ26222222-2-2-22-2-22-2-200-202002220200-2-2-2000002000000000000000
χ27222222-2-2-2-22-2-2220002200000-2-200000222000-2-2-2000000000000
χ28222222-2-2-2-22-2-222000-22000002-200000-2-2-2000222000000000000
χ292222-2-220022-2-2-20000202-202-2-200002-2-2002-20200000000000000
χ302222-2-220022-2-2-2000020-220-22-20000-22-200-220200000000000000
χ312222-2-220022-2-2-20000-202-20-2220000-222002-20-200000000000000
χ322222-2-220022-2-2-20000-20-2202-2200002-2200-220-200000000000000
χ332222-2-2200-2-2-2220002002-22000000-20002-2-22-202-2000000000000
χ342222-2-2200-2-2-222000200-222000000-2000-222-2-20-22000000000000
χ352222-2-2200-2-2-222000-2002-2-20000002000-22-2220-22000000000000
χ362222-2-2200-2-2-222000-200-22-200000020002-22-2202-2000000000000
χ372222-2-2-2002-22-220220000002-200-2-20-220-2200002-2000000000000
χ382222-2-2-2002-22-22022000000-2200-2-202-202-20000-22000000000000
χ392222-2-2-2002-22-220-2-20000002-200220-2202-20000-22000000000000
χ402222-2-2-2002-22-220-2-2000000-22002202-20-2200002-2000000000000
χ412222-2-2-200-2222-202-222000-20020-22-200-200002-200000000000000
χ422222-2-2-200-2222-202-2-2-2000200-20-2220020000-2200000000000000
χ432222-2-2-200-2222-20-222-2000-200-202-2-200200002200000000000000
χ442222-2-2-200-2222-20-22-22000200202-2200-20000-2-200000000000000
χ454-44-4-4404i−4i000000000000000000000000000000002-22i−2i00000000
χ464-44-4-4404i−4i00000000000000000000000000000000-22−2i2i00000000
χ474-44-4-440−4i4i000000000000000000000000000000002-2−2i2i00000000
χ484-44-4-440−4i4i00000000000000000000000000000000-222i−2i00000000
χ4988-8-80000000000000000000000000000000000000000022−22000000
χ5088-8-800000000000000000000000000000000000000000−2222000000
χ518-88-88-800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000000000000000000002i2−2i20000
χ538-8-880000000000000000000000000000000000000000000−2i22i20000

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