Finite Group Databasebeta

← Group #347137

Character table — Group #347137

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122224444444448888888888888888888888888816161616161616161616323232
order12222244222244444222222224444444444444444444444448888488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1
χ41111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111
χ5111111111111-1-1111-1-11111-1-11-1-11-1-11111-1-11-1-1-1-1-1111111-1-1-1-11-1-1
χ6111111111111-1-1111-1-11111-1-11-1-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1111
χ8111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-111-1-111111111-1-1-1
χ911111111-1-11111111-1-111-1-11-1-11-1-11111-1-11-1-11-1-11-11111-1-111-1-1-11-1
χ1011111111-1-11111111-1-111-1-11-1-11-1-11111-1-11-1-11-1-11-1-1-1-1-111-1-1111-11
χ1111111111-1-11111111-1-1-1-111-11-1-11-111-1-111-11-11-1-1-1111-1-11111-1-1-1-11
χ1211111111-1-11111111-1-1-1-111-11-1-11-111-1-111-11-11-1-1-11-1-111-1-1-1-11111-1
χ1311111111-1-111-1-11111111-1-1-11-1-11-1-1-111-1-1-11-1-111-111111-1-1-1-111-1-11
χ1411111111-1-111-1-11111111-1-1-11-1-11-1-1-111-1-1-11-1-111-11-1-1-1-11111-1-111-1
χ1511111111-1-111-1-111111-1-1111-1-11-1-1-1-1-1-1111-1-1-1111-111-1-111-1-111-11-1
χ1611111111-1-111-1-111111-1-1111-1-11-1-1-1-1-1-1111-1-1-1111-1-1-111-1-111-1-11-11
χ172222222222-2-2222-2-2-2-2000000200-2-2-2000000-2222000000000000000
χ182222222222-2-2-2-22-2-222000000200-222000000-2-2-2-2000000000000000
χ1922222222-2-2-2-2222-2-222000000-2002-2-200000022-2-2000000000000000
χ2022222222-2-2-2-2-2-22-2-2-2-2000000-2002220000002-222000000000000000
χ21222222-2-2222200-2-2-2002-22-200-2002002-22-200-2000000000000000000
χ22222222-2-2222200-2-2-200-22-2200-200200-22-2200-2000000000000000000
χ23222222-2-222-2-200-22200000022-2-2-2-2000000222000-2-20000000000000
χ24222222-2-222-2-200-222000000-2-2-222-2000000-2-22000220000000000000
χ25222222-2-2-2-22200-2-2-2002-2-2200200-2002-2-22002000000000000000000
χ26222222-2-2-2-22200-2-2-200-222-200200-200-222-2002000000000000000000
χ27222222-2-2-2-2-2-200-2220000002-22-2220000002-2-2000-220000000000000
χ28222222-2-2-2-2-2-200-222000000-2222-22000000-22-20002-20000000000000
χ292222-2-222002-222-22-20000220-200-202-200-2-2020-200020000000000000
χ302222-2-222002-222-22-20000-2-20200202-200220-20-2000-20000000000000
χ312222-2-222002-2-2-2-22-2000022020020-2200-2-20-202000-20000000000000
χ322222-2-222002-2-2-2-22-20000-2-20-200-20-220022020200020000000000000
χ332222-2-22200-2222-2-22002200-200-200-22-2-200200-200200000000000000
χ342222-2-22200-2222-2-2200-2-200200200-222200-200-200-200000000000000
χ352222-2-22200-22-2-2-2-220022002002002-2-2-200-200200-200000000000000
χ362222-2-22200-22-2-2-2-2200-2-200-200-2002-22200200200200000000000000
χ372222-2-2-2-2002-2002-222-2002-2200-2000000-22-20002-2200000000000000
χ382222-2-2-2-2002-2002-222-200-22-20020000002-220002-2-200000000000000
χ392222-2-2-2-2002-2002-22-22002-2-2002000000-222000-22-200000000000000
χ402222-2-2-2-2002-2002-22-2200-22200-20000002-2-2000-22200000000000000
χ412222-2-2-2-200-220022-22-22-2000-2002000-22000200-220-20000000000000
χ422222-2-2-2-200-220022-22-2-22000200-20002-2000-200-22020000000000000
χ432222-2-2-2-200-220022-2-222-2000200-2000-22000-2002-2020000000000000
χ442222-2-2-2-200-220022-2-22-22000-20020002-20002002-20-20000000000000
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
χ494-44-44-4004-4000000000000000000000000000000000002i−2i2i−2i0000000
χ504-44-44-4004-400000000000000000000000000000000000−2i2i−2i2i0000000
χ514-44-44-400-44000000000000000000000000000000000002i−2i−2i2i0000000
χ524-44-44-400-4400000000000000000000000000000000000−2i2i2i−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).