Finite Group Databasebeta

← Group #347144

Character table — Group #347144

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244224444444222222222444444444444444444444448888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1
χ411111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111
χ5111111111111-1-11111-1-11111-1-11-1-1-11111-1-11-1-1-1-1-1-1111111-1-1-1-11-1-1
χ6111111111111-1-11111-1-11111-1-11-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ8111111111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-111111111-1-1-1
χ91111111111-1-111111-1-1-111-1-11-1-11-1111-1-11-1-111-1-11-11111-1-111-1-1-11-1
χ101111111111-1-111111-1-1-111-1-11-1-11-1111-1-11-1-111-1-11-1-1-1-1-111-1-1111-11
χ111111111111-1-111111-1-1-1-1-111-11-1-111-1-111-11-111-1-1-1111-1-11111-1-1-1-11
χ121111111111-1-111111-1-1-1-1-111-11-1-111-1-111-11-111-1-1-11-1-111-1-1-1-11111-1
χ131111111111-1-1-1-1111-11111-1-1-11-1-11-111-1-1-11-1-1-111-111111-1-1-1-111-1-11
χ141111111111-1-1-1-1111-11111-1-1-11-1-11-111-1-1-11-1-1-111-11-1-1-1-11111-1-111-1
χ151111111111-1-1-1-1111-111-1-1111-1-11-1-1-1-1111-1-1-1-1111-111-1-111-1-111-11-1
χ161111111111-1-1-1-1111-111-1-1111-1-11-1-1-1-1111-1-1-1-1111-1-1-111-1-111-1-11-11
χ1722222222-2-222222-2-2-222000000-20020000002-2-2-2-2000000000000000
χ1822222222-2-222-2-22-2-2-2-2-2000000-200-200000022222000000000000000
χ1922222222-2-2-2-2222-2-22-2-20000002002000000-2-2-222000000000000000
χ2022222222-2-2-2-2-2-22-2-2222000000200-2000000-222-2-2000000000000000
χ21222222-2-2222200-2-2-22002-22-200-20002-22-200-20000000000000000000
χ22222222-2-2222200-2-2-2200-22-2200-2000-22-2200-20000000000000000000
χ23222222-2-222-2-200-2-2-2-2002-2-220020002-2-220020000000000000000000
χ24222222-2-222-2-200-2-2-2-200-222-2002000-222-20020000000000000000000
χ25222222-2-2-2-22200-222-2000000222-2-20000022-20000-2-20000000000000
χ26222222-2-2-2-22200-222-2000000-2-222200000-2-2-20000220000000000000
χ27222222-2-2-2-2-2-200-22220000002-2-2-22000002-220000-220000000000000
χ28222222-2-2-2-2-2-200-2222000000-22-22-200000-22200002-20000000000000
χ292222-2-2222-20022-22-200000220-200-2-200-2-20202-200020000000000000
χ302222-2-2222-20022-22-200000-2-202002-200220-202-2000-20000000000000
χ312222-2-2222-200-2-2-22-2000002202002200-2-20-20-22000-20000000000000
χ322222-2-2222-200-2-2-22-200000-2-20-200-220022020-2200020000000000000
χ332222-2-222-220022-2-220002200-200-20-2-2-200200-2200200000000000000
χ342222-2-222-220022-2-22000-2-20020020-22200-200-2200-200000000000000
χ352222-2-222-2200-2-2-2-220002200200202-2-200-2002-200-200000000000000
χ362222-2-222-2200-2-2-2-22000-2-200-200-20222002002-200200000000000000
χ372222-2-2-2-22-200002-2202-2002-2200-20000-22-200002-2200000000000000
χ382222-2-2-2-22-200002-2202-200-22-200200002-2200002-2-200000000000000
χ392222-2-2-2-22-200002-220-22002-2-20020000-2220000-22-200000000000000
χ402222-2-2-2-22-200002-220-2200-22200-200002-2-20000-22200000000000000
χ412222-2-2-2-2-22000022-202-22-2000200-20-22000-2000-22020000000000000
χ422222-2-2-2-2-22000022-202-2-22000-200202-20002000-220-20000000000000
χ432222-2-2-2-2-22000022-20-222-2000-20020-2200020002-20-20000000000000
χ442222-2-2-2-2-22000022-20-22-22000200-202-2000-20002-2020000000000000
χ4544-4-400-4400004i−4i000000000000000000000000000002i−2i00002-200000
χ4644-4-400-4400004i−4i00000000000000000000000000000−2i2i0000-2200000
χ4744-4-400-440000−4i4i000000000000000000000000000002i−2i0000-2200000
χ4844-4-400-440000−4i4i00000000000000000000000000000−2i2i00002-200000
χ494-44-44-400004-40000000000000000000000000000000002i−2i2i−2i0000000
χ504-44-44-400004-4000000000000000000000000000000000−2i2i−2i2i0000000
χ514-44-44-40000-440000000000000000000000000000000002i−2i−2i2i0000000
χ524-44-44-40000-44000000000000000000000000000000000−2i2i2i−2i0000000
χ5388-8-8008-8000000000000000000000000000000000000000000000000
χ548-88-8-8800000000000000000000000000000000000000000000000000
χ558-8-880000000000000000000000000000000000000000000000022−22000
χ568-8-8800000000000000000000000000000000000000000000000−2222000

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