Finite Group Databasebeta

← Group #347147

Character table — Group #347147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244224444444222222222224444444444444444444448888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1
χ41111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-111
χ5111111111111-1-111111-1-1-1111-1-1-11-11111-1-1-1-1-1-1-11-11111-1-111-1-1-11-1
χ6111111111111-1-111111-1-1-1111-1-1-11-11111-1-1-1-1-1-1-11-1-1-1-1-111-1-1111-11
χ7111111111111-1-111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-11
χ8111111111111-1-111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11-1-111-1-1-1-11111-1
χ91111111111-1-111111-1-11-1-111-111-1-1111-1-111-1-11-1-1-1-1111111-1-1-1-11-1-1
χ101111111111-1-111111-1-11-1-111-111-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-111
χ111111111111-1-111111-1-11-1-1-1-11-1-11-11-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1111
χ121111111111-1-111111-1-11-1-1-1-11-1-11-11-1-111-1-1111-1-111-1-111111111-1-1-1
χ131111111111-1-1-1-1111-1-1-11111-1-1-11-1-111-1-1-1-111-111-111111-1-1-1-111-1-11
χ141111111111-1-1-1-1111-1-1-11111-1-1-11-1-111-1-1-1-111-111-11-1-1-1-11111-1-111-1
χ151111111111-1-1-1-1111-1-1-111-1-1111-1-1-1-1-11111-1-1-1111-111-1-111-1-111-11-1
χ161111111111-1-1-1-1111-1-1-111-1-1111-1-1-1-1-11111-1-1-1111-1-1-111-1-111-1-11-11
χ1722222222-2-222222-2-2-2-2-2-2-20000002-200000000222000000000000000
χ1822222222-2-222-2-22-2-2-2-22220000002200000000-2-2-2000000000000000
χ1922222222-2-2-2-2222-2-222-222000000-2-2000000002-2-2000000000000000
χ2022222222-2-2-2-2-2-22-2-2222-2-2000000-2200000000-222000000000000000
χ21222222-2-2220022-2-2-2002002-202-200-22-2002-200-200000000000000000
χ22222222-2-2220022-2-2-200200-220-2200-2-2200-2200-200000000000000000
χ23222222-2-22200-2-2-2-2-200-2002-20-220022-200-2200200000000000000000
χ24222222-2-22200-2-2-2-2-200-200-2202-2002-22002-200200000000000000000
χ25222222-2-2-2-20022-22200-20000200202002-2002-2-200-2-20000000000000
χ26222222-2-2-2-20022-22200-20000-200-20200-2200-22-200220000000000000
χ27222222-2-2-2-200-2-2-2220020000200-20-2002-200-22200-220000000000000
χ28222222-2-2-2-200-2-2-2220020000-20020-200-22002-22002-20000000000000
χ292222-2-2222-22200-22-22-2000000222-200000-2-2-220000-20000000000000
χ302222-2-2222-22200-22-22-2000000-2-2-2-200000222-2000020000000000000
χ312222-2-2222-2-2-200-22-2-2200000022-2200000-2-22-2000020000000000000
χ322222-2-2222-2-2-200-22-2-22000000-2-2220000022-220000-20000000000000
χ332222-2-222-222200-2-22-22000222000-20-2-2-220000000-200000000000000
χ342222-2-222-222200-2-22-22000-2-2-2000-20222-20000000200000000000000
χ352222-2-222-22-2-200-2-222-200022-200020-2-22-20000000200000000000000
χ362222-2-222-22-2-200-2-222-2000-2-220002022-220000000-200000000000000
χ372222-2-2-2-22-200002-220002-20022-200000-2-2-220002-2200000000000000
χ382222-2-2-2-22-200002-220002-200-2-2200000222-20002-2-200000000000000
χ392222-2-2-2-22-200002-22000-22002-2200000-2-22-2000-22200000000000000
χ402222-2-2-2-22-200002-22000-2200-22-20000022-22000-22-200000000000000
χ412222-2-2-2-2-22000022-20002-22-2000-200-220000220-220-20000000000000
χ422222-2-2-2-2-22000022-20002-2-220002002-20000-2-20-22020000000000000
χ432222-2-2-2-2-22000022-2000-222-2000200-220000-2-202-2020000000000000
χ442222-2-2-2-2-22000022-2000-22-22000-2002-200002202-20-20000000000000
χ4544-4-4004-4004-400000000000000000000000000000002i−2i00002i−2i00000
χ4644-4-4004-4004-40000000000000000000000000000000−2i2i0000−2i2i00000
χ4744-4-4004-400-4400000000000000000000000000000002i−2i0000−2i2i00000
χ4844-4-4004-400-440000000000000000000000000000000−2i2i00002i−2i00000
χ494-44-44-40000004-400000000000000000000000000000002i−2i2i−2i0000000
χ504-44-44-40000004-40000000000000000000000000000000−2i2i−2i2i0000000
χ514-44-44-4000000-4400000000000000000000000000000002i−2i−2i2i0000000
χ524-44-44-4000000-440000000000000000000000000000000−2i2i2i−2i0000000
χ5388-8-800-88000000000000000000000000000000000000000000000000
χ548-88-8-8800000000000000000000000000000000000000000000000000
χ558-8-880000000000000000000000000000000000000000000000022−22000
χ568-8-8800000000000000000000000000000000000000000000000−2222000

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