Finite Group Databasebeta

← Group #347145

Character table — Group #347145

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244224444444222444444444444444444444444444448888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11111-1-1111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1
χ4111111111111111111-1-11111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ5111111111111-1-1111111-1-1-1-1111-1-111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-1-1-1111
χ6111111111111-1-1111111-1-1-1-1111-1-111-1-1-1-11-111-1-1-1-1-1-111111111-1-1-1
χ7111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-11111111111-1-1-1-11-1-1
χ8111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-111
χ91111111111-1-111111-11-111-1-11-1-1-1-11-111-1-1-111-111-1-11111-1-111-1-1-11-1
χ101111111111-1-111111-11-111-1-11-1-1-1-11-111-1-1-111-111-1-1-1-1-1-111-1-1111-11
χ111111111111-1-111111-1-1111-1-1-11-1-1-1-11-1-111-11-11-1-11111-1-11111-1-1-1-11
χ121111111111-1-111111-1-1111-1-1-11-1-1-1-11-1-111-11-11-1-111-1-111-1-1-1-11111-1
χ131111111111-1-1-1-1111-11-1-1-1111-1-1111-1-1-111-1-11-1-1-11111-1-111-1-111-11-1
χ141111111111-1-1-1-1111-11-1-1-1111-1-1111-1-1-111-1-11-1-1-111-1-111-1-111-1-11-11
χ151111111111-1-1-1-1111-1-11-1-111-11-111-1111-1-1-1-1-1111-1-11111-1-1-1-111-1-11
χ161111111111-1-1-1-1111-1-11-1-111-11-111-1111-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1
χ1722222222-2-222222-2-2-200-2-2-2-200-222000000220000000000000000000
χ1822222222-2-222-2-22-2-2-200222200-2-2-20000002-20000000000000000000
χ1922222222-2-2-2-2222-2-2200-2-222002-2-2000000-220000000000000000000
χ2022222222-2-2-2-2-2-22-2-220022-2-200222000000-2-20000000000000000000
χ21222222-2-2222200-2-2-2200000000-200002-22-2-20002-22-20000000000000
χ22222222-2-2222200-2-2-2200000000-20000-22-22-2000-22-220000000000000
χ23222222-2-222-2-200-2-2-2-200000000200002-2-2220002-2-220000000000000
χ24222222-2-222-2-200-2-2-2-20000000020000-222-22000-222-20000000000000
χ25222222-2-2-2-22200-222-222000022200-2-20000-20-2-200000000000000000
χ26222222-2-2-2-22200-222-2-2-20000-2-2200220000-202200000000000000000
χ27222222-2-2-2-2-2-200-22222-200002-2-200-22000020-2200000000000000000
χ28222222-2-2-2-2-2-200-2222-220000-22-2002-20000202-200000000000000000
χ292222-2-2222-20022-22-20022-2000-20000200-2-20-20-200220000000000000
χ302222-2-2222-20022-22-200-22-200020000-200220-20200-2-20000000000000
χ312222-2-2222-200-2-2-22-2002-22000-2000020022020-200-2-20000000000000
χ322222-2-2222-200-2-2-22-200-2-2200020000-200-2-2020200220000000000000
χ332222-2-222-220022-2-22020-2200-2000020-2-2000-2-2022000000000000000
χ342222-2-222-220022-2-220-20-220020000-2022000-220-2-2000000000000000
χ352222-2-222-2200-2-2-2-220202-200-2000020220002-20-2-2000000000000000
χ362222-2-222-2200-2-2-2-220-202-20020000-20-2-200022022000000000000000
χ372222-2-2-2-22-200002-22020002-2-2002-2-20002-2002000-220000000000000
χ382222-2-2-2-22-200002-2202000-22-200-22-2000-220020002-20000000000000
χ392222-2-2-2-22-200002-220-20002-22002-22000-2200-20002-20000000000000
χ402222-2-2-2-22-200002-220-2000-22200-2220002-200-2000-220000000000000
χ412222-2-2-2-2-22000022-2002002-20-20-220-2-220000022-2000000000000000
χ422222-2-2-2-2-22000022-200200-220-202-20-22-2000002-22000000000000000
χ432222-2-2-2-2-22000022-200-2002-2020-22022-200000-2-22000000000000000
χ442222-2-2-2-2-22000022-200-200-220202-202-2200000-22-2000000000000000
χ4544-4-44-400004-40000000000000000000000000000000002-22-20000000
χ4644-4-44-400004-4000000000000000000000000000000000-22-220000000
χ4744-4-44-40000-440000000000000000000000000000000002-2-220000000
χ4844-4-44-40000-44000000000000000000000000000000000-222-20000000
χ494-44-400-4400004i−4i000000000000000000000000000002i−2i00002-200000
χ504-44-400-4400004i−4i00000000000000000000000000000−2i2i0000-2200000
χ514-44-400-440000−4i4i000000000000000000000000000002i−2i0000-2200000
χ524-44-400-440000−4i4i00000000000000000000000000000−2i2i00002-200000
χ5388-8-8-8800000000000000000000000000000000000000000000000000
χ548-88-8008-8000000000000000000000000000000000000000000000000
χ558-8-88000000000000000000000000000000000000000000000002i2−2i2000
χ568-8-8800000000000000000000000000000000000000000000000−2i22i2000

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